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Marconi Applied Technologies Gunn Diodes Application Notes

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<strong>Marconi</strong> <strong>Applied</strong> <strong>Technologies</strong><br />

<strong>Gunn</strong> <strong>Diodes</strong> <strong>Application</strong> <strong>Notes</strong><br />

CONTENTS<br />

1 DESCRIPTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2<br />

1.1 Package Styles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2<br />

1.2 <strong>Gunn</strong> Oscillators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3<br />

2 PRINCIPLE OF OPERATION . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3<br />

2.1 <strong>Gunn</strong> Diode Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3<br />

2.2 Modes of Oscillation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6<br />

2.3 Conventional <strong>Gunn</strong> Diode . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8<br />

2.4 Graded-gap <strong>Gunn</strong> Diode . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8<br />

3 APPLICATIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11<br />

3.1 Oscillator Design . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13<br />

3.2 Performance Considerations . . . . . . . . . . . . . . . . . . . . . . . . . . 14<br />

3.3 Mounting and Heat Sink Considerations . . . . . . . . . . . . . . . . . . . . . 15<br />

4 PERFORMANCE CHARACTERISTICS . . . . . . . . . . . . . . . . . . . . . . 15<br />

4.1 Limiting Conditions of Use . . . . . . . . . . . . . . . . . . . . . . . . . . 15<br />

4.2 Typical Performance Curves . . . . . . . . . . . . . . . . . . . . . . . . . . 16<br />

5 BIBLIOGRAPHY . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19<br />

# 2000 <strong>Marconi</strong> <strong>Applied</strong> <strong>Technologies</strong> Limited<br />

This work must not be copied in whole or in part without the prior written permission of <strong>Marconi</strong> <strong>Applied</strong> <strong>Technologies</strong> Limited<br />

<strong>Marconi</strong> <strong>Applied</strong> <strong>Technologies</strong> Limited, Carholme Road, Lincoln LN1 1SF England Telephone: +44 (0)1522 526352 Facsimile: +44 (0)1522 545140<br />

e-mail: mtech.uk@marconi.com Internet: www.marconitech.com Holding Company: <strong>Marconi</strong> p.l.c.<br />

<strong>Marconi</strong> <strong>Applied</strong> <strong>Technologies</strong> Inc. 4 Westchester Plaza, PO Box 1482, Elmsford, NY10523-1482 USA Telephone: (914) 592-6050 Facsimile: (914) 592-5148 e-mail: mtech.usa@marconi.com<br />

#2000 <strong>Marconi</strong> <strong>Applied</strong> <strong>Technologies</strong> Limited A1A-<strong>Gunn</strong> <strong>Diodes</strong> AN1 Issue 2, June 2000


"<br />

1 DESCRIPTION<br />

The <strong>Gunn</strong> diode is the best known and most readily available<br />

device in the family of transferred electron devices (TED). They<br />

are employed as DC to microwave converters using the<br />

negative resistance characteristics of bulk Gallium Arsenide<br />

(GaAs) and only require a standard, low impedance, constant<br />

voltage power supply, thereby eliminating complex circuitry.<br />

The DC1200 series of GaAs <strong>Gunn</strong> diodes is designed for<br />

operation at fixed frequency (determined by the oscillator<br />

cavity) within a specified band under CW or pulsed conditions.<br />

Both conventional and hot electron injected (graded-gap) <strong>Gunn</strong><br />

diode designs are available (see Section 2). All devices feature<br />

low FM and AM noise characteristics and their wideband<br />

negative resistance enables them to be used in voltage<br />

controlled and mechanically tuned oscillators. The hot electron<br />

injected <strong>Gunn</strong> diodes offer the additional advantages of:<br />

* higher fundamental frequency operation,<br />

* increased efficiency,<br />

* improved temperature stability,<br />

* improved turn-on characteristic and<br />

* reduced FM sideband noise.<br />

Devices are available in either polarity, but are generally<br />

supplied as negative heat sink.<br />

1.1 Package Styles<br />

Several standard package styles are offered covering the<br />

frequency range 4 to 110 GHz and designed to suit different<br />

applications (see Fig. 1.1). Custom packaging requirements will<br />

also be considered upon request.<br />

The following package limitations need to be taken into<br />

consideration:<br />

Thermal Resistance<br />

The lowest thermal resistance is offered by the screw-based<br />

packages (outlines 40, 86 and 106). For high volume, lower<br />

power applications where oscillator assembly time is more<br />

important, non-threaded packages such as outline 00 will be<br />

preferred (refer to Mounting and Heat Sink Considerations -<br />

Section 3.3).<br />

Frequency Range<br />

The equivalent circuit diagram of a packaged <strong>Gunn</strong> diode is<br />

shown in Fig. 1.2. The magnitude of the parasitic impedances<br />

attributed to the package element reduces with the package<br />

size (004864106). Consequently, the larger, more robust<br />

package styles are normally specified for operation at lower<br />

frequencies and the smaller, low parasitic impedance packages<br />

are recommended for the higher frequency applications.<br />

Magnetically Tuned Circuits<br />

For applications involving magnetically (YIG) tuned oscillators,<br />

<strong>Gunn</strong> diodes can be supplied in Kovar-free packages.<br />

00<br />

"<br />

5.3/5.9<br />

"<br />

"<br />

11.52/1.63<br />

"<br />

"<br />

11.98/2.08<br />

"<br />

1.52/1.63 1.70/1.85 1.52/1.63 13.00/3.15<br />

"<br />

"<br />

"<br />

"<br />

"<br />

"<br />

"<br />

40<br />

"<br />

"<br />

0.75/0.85<br />

3-48 UNC 2A THREAD<br />

0.22/0.28<br />

"<br />

"<br />

"<br />

0.53/0.63<br />

"<br />

12.05/2.15<br />

12.95/3.00<br />

"<br />

"<br />

"<br />

"<br />

"<br />

12.45/2.55<br />

5.28 MAX<br />

"<br />

"<br />

"<br />

Fig. 1.1 Standard <strong>Gunn</strong> Diode Package Outlines (continued on page 3)<br />

<strong>Gunn</strong> <strong>Diodes</strong> AN1, page 2<br />

#2000 <strong>Marconi</strong> <strong>Applied</strong> <strong>Technologies</strong>


86<br />

"<br />

4.0/4.5<br />

"<br />

0.63/0.78<br />

"<br />

"<br />

0.46/0.56<br />

"<br />

"<br />

"<br />

"<br />

11.22/1.32<br />

"<br />

12.49/2.59<br />

"<br />

"<br />

3-48 UNC 2A THREAD<br />

106<br />

"<br />

3.5/3.7<br />

"<br />

"<br />

"<br />

0.47/0.57<br />

"<br />

12.89/3.00<br />

"<br />

"<br />

10.72/0.90<br />

"<br />

"<br />

3-48 UNC 2A THREAD<br />

"<br />

"<br />

0.31/0.47<br />

1.2 <strong>Gunn</strong> Oscillators<br />

<strong>Marconi</strong> <strong>Applied</strong> <strong>Technologies</strong> designs and manufactures a<br />

range of oscillator products using <strong>Marconi</strong> <strong>Gunn</strong> diodes.<br />

Standard products include a range of fixed frequency and<br />

mechanically or electronically tuned oscillators. Enquiries are<br />

welcomed for oscillator products that are not in the standard<br />

range.<br />

7504<br />

R S L P<br />

C P<br />

2 PRINCIPLE OF OPERATION<br />

2.1 <strong>Gunn</strong> Diode Theory<br />

In order to understand the nature of the transferred electron<br />

effect exhibited by <strong>Gunn</strong> diodes, it is necessary to consider the<br />

electron drift velocity versus electric field (or current versus<br />

voltage) relationship for GaAs (see Fig. 2.1).<br />

Below the threshold field, E th , of approximately 0.32 V/mm, the<br />

device acts as a passive resistance. However, above E th the<br />

electron velocity (current) decreases as the field (voltage)<br />

increases producing a region of negative differential mobility,<br />

NDM (resistance, NDR). This is the essential feature that leads<br />

to current instabilities and <strong>Gunn</strong> oscillations in an active device<br />

and is due to the special conductance band structure of direct<br />

band gap semiconductors such as Gallium Arsenide (see Fig.<br />

2.2).<br />

7R G<br />

C G<br />

"<br />

7486<br />

"<br />

DIODE ELEMENT<br />

PACKAGE ELEMENT<br />

C P = PACKAGE CAPACITANCE<br />

L P = BOND LEAD INDUCTANCE<br />

R S = SERIES RESISTANCE<br />

7R G = GUNN DIODE RESISTANCE<br />

C G = GUNN DIODE CAPACITANCE<br />

"<br />

DRIFT VELOCTY v (CURRENT)<br />

E th<br />

0.32V/mm<br />

ELECTRIC FIELD E (VOLTAGE)<br />

E H<br />

"<br />

Fig. 1.2<br />

Simple Equivalent Circuit for a Packaged <strong>Gunn</strong><br />

Diode<br />

Fig. 2.1 The Electric Field Dependent Average Drift<br />

Velocity for N-type GaAs<br />

#2000 <strong>Marconi</strong> <strong>Applied</strong> <strong>Technologies</strong> <strong>Gunn</strong> <strong>Diodes</strong> AN1, page 3


4<br />

7487<br />

T = 300K<br />

3<br />

CONDUCTION BAND<br />

SATELLITE X<br />

VALLEY<br />

2<br />

SATELLITE L<br />

VALLEY<br />

"<br />

"<br />

"<br />

DE = 0.31 eV<br />

"<br />

"<br />

"<br />

1<br />

LOWER G<br />

VALLEY<br />

E g = 1.42 eV<br />

0<br />

"<br />

VALENCE BAND<br />

71<br />

ENERGY (eV)<br />

72<br />

L [111] G " [100]<br />

"<br />

X<br />

Fig. 2.2<br />

The Band Structure of GaAs at 300 K<br />

The energy-momentum relationship contains two conduction<br />

band energy levels, G and L (also known as valleys) with the<br />

following properties:<br />

* In the lower G valley, electrons exhibit a small effective<br />

mass and very high mobility, m 1 .<br />

* In the satellite L valley, electrons exhibit a large effective<br />

mass and very low mobility, m 2 .<br />

* The two valleys are separated by a small energy gap, DE,<br />

of approximately 0.31 eV.<br />

In equilibrium at room temperature most electrons reside near<br />

the bottom of the lower G valley. Because of their high mobility<br />

(* 8000 cm 2 V -1 s -1 ), they can readily be accelerated in a strong<br />

electric field to energies in the order of the G-L intervalley<br />

separation, DE. Electrons are then able to scatter into the<br />

satellite L valley, resulting in a decrease in the average electron<br />

mobility, m, as given below:<br />

m =(n 1 .m 1 +n 2 .m 2 )/(n 1 +n 2 )<br />

where n 1 = electron density in G valley<br />

n 2 = electron density in L valley<br />

Above the high field, E H , most electrons reside in the L valley<br />

and the device behaves as a passive resistance (of greater<br />

magnitude) once again.<br />

In a practical <strong>Gunn</strong> diode, electrons are accelerated from the<br />

cathode by the prevailing electric field. When they have<br />

acquired sufficient energy, they begin to scatter into the low<br />

mobility satellite valley and slow down. This charge fluctuation<br />

<strong>Gunn</strong> <strong>Diodes</strong> AN1, page 4<br />

#2000 <strong>Marconi</strong> <strong>Applied</strong> <strong>Technologies</strong>


esults in a localised increase in the electric field and a<br />

corresponding decrease (to below the threshold value)<br />

elsewhere within the sample. Electrons ahead of the region still<br />

exhibit high mobility and move away from the charge<br />

fluctuation causing a depletion of carriers. Electrons behind<br />

the charge fluctuation, are also moving faster and accumulate<br />

behind the depleted region causing a dipole (or high field)<br />

domain (see Fig. 2.3), which grows in amplitude.<br />

A fall in current is associated with the domain growth due to its<br />

reduced mobility. The domain propagates through the sample<br />

at a constant velocity (*1 x 10 7 cm.s 71 for GaAs) until it<br />

reaches the anode where it collapses. As the domain collapses,<br />

the electric field outside the domain rises and the current in the<br />

external circuit increases until the threshold field is reached<br />

again and a new domain is formed.<br />

For a given doping density there will be a minimum device<br />

length that will support a domain due to the finite time required<br />

for domain growth. If this time is longer than that required for<br />

the domain to traverse the sample, then domain formation will<br />

not occur. Similarly, if the doping density is too high, then the<br />

current (and hence the temperature) in the semiconductor<br />

becomes too great and the life expectancy of the device is<br />

reduced. In practice, the product of doping density, n, and<br />

device length, l, is maintained between the following limits:<br />

1x10 12 cm 72 4 n.l 4 2x10 12 cm 72<br />

SPACE CHARGE<br />

"<br />

7488 ACCUMULATION LAYER<br />

"<br />

DEPLETION LAYER<br />

"<br />

0<br />

CATHODE<br />

"<br />

DISTANCE<br />

ANODE<br />

ELECTRIC FIELD<br />

"<br />

E th<br />

E H<br />

E L<br />

ANODE<br />

0<br />

CATHODE<br />

DISTANCE<br />

"<br />

Fig. 2.3<br />

The Band Structure of GaAs at 300 K<br />

#2000 <strong>Marconi</strong> <strong>Applied</strong> <strong>Technologies</strong> <strong>Gunn</strong> <strong>Diodes</strong> AN1, page 5


2.2 Modes of Oscillation<br />

2.2.1 Transit Time Mode<br />

This is the basic diode oscillation mode and is independent of<br />

the external circuit. Current peaks are obtained when a domain<br />

is quenched at the anode, after which another is nucleated near<br />

the cathode. The frequency is determined by the domain transit<br />

time, T t :<br />

T t = l/v D<br />

where l = length of device<br />

v D = domain velocity (* 1x10 7 cm.s -1 )<br />

so frequency, f t :<br />

f t = 1/T t =v D /l<br />

This mode of operation was first reported by (and is named<br />

after) J. B. <strong>Gunn</strong> in 1963. Its main characteristics are (see Fig.<br />

2.4):<br />

* The total electric field across the device at any time is<br />

above the threshold value.<br />

* The current waveform consists of narrow spikes, indicating<br />

a high harmonic content and low efficiency at fundamental<br />

frequency.<br />

* The RF field across the device is small, indicating low<br />

impedance.<br />

* The transit time frequency is a strong function of operating<br />

voltage and temperature.<br />

Therefore the transit time mode has poor stability and<br />

efficiency.<br />

7489<br />

I<br />

"<br />

I p<br />

E 0<br />

T t<br />

t<br />

I v<br />

"<br />

"<br />

"<br />

E th<br />

"<br />

E<br />

t<br />

"<br />

Fig. 2.4<br />

Current and Field Waveforms for Transit Time Mode<br />

<strong>Gunn</strong> <strong>Diodes</strong> AN1, page 6<br />

#2000 <strong>Marconi</strong> <strong>Applied</strong> <strong>Technologies</strong>


2.2.2 Delayed Domain Mode<br />

Fig. 2.5 shows the basic voltage and current waveforms for this<br />

mode of operation. Unlike the transit time mode, the total<br />

electric field across the device drops below the threshold value,<br />

E th , during part of the RF cycle, such that nucleation of a new<br />

domain is delayed.<br />

As soon as the field rises above E th , a domain nucleates at the<br />

cathode and travels across the device. As the field swings<br />

below E th , the domain arrives at the anode and decays its<br />

charge. A new domain cannot form at the cathode until the<br />

field rises above E th again. This delay time between extinction<br />

and creation of domains modifies the operating frequency, f d ,<br />

to:<br />

f d = 1/(T t +T d )<br />

where T t = transit time<br />

T d = delay time<br />

The transit time is a fixed quantity for a given device, but the<br />

delay time is a function of the RF voltage, which is determined<br />

by an external circuit. It follows that the operating frequency is<br />

always below the transit time frequency.<br />

The important characteristics of this mode of operation are:<br />

* The total electric field across the device is below the<br />

threshold field, E th , over a part of the RF cycle.<br />

* The current waveform consists of broad spikes, indicating<br />

a low harmonic content and higher efficiency at<br />

fundamental frequency.<br />

* The RF field across the device is large, indicating high<br />

impedance.<br />

* The operating frequency is determined mainly by the<br />

resonant frequency of the external circuit and can be made<br />

very stable. A device can also be used over a much<br />

broader bandwidth below the transit time frequency.<br />

This mode of operation is therefore most commonly used in the<br />

majority of commercial applications.<br />

7490<br />

I<br />

"<br />

I p<br />

I v<br />

t<br />

E 0<br />

"<br />

T d T t<br />

" "<br />

"<br />

E th<br />

"<br />

E<br />

t<br />

"<br />

Fig. 2.5<br />

Current and Field Waveforms for Delayed Domain Mode<br />

#2000 <strong>Marconi</strong> <strong>Applied</strong> <strong>Technologies</strong> <strong>Gunn</strong> <strong>Diodes</strong> AN1, page 7


2.3 Conventional <strong>Gunn</strong> Diode<br />

A conventional <strong>Gunn</strong> diode generally consists of three layers; a<br />

relatively low doped transit region sandwiched between two<br />

highly doped contact regions, forming an n + -n- + structure<br />

(see Fig. 2.6). The device is defined basically by five<br />

parameters:<br />

n The doping concentration in the transit region of the<br />

Gallium Arsenide.<br />

l The thickness of the transit region.<br />

R 0 The low field resistance of the diode measured close to<br />

the origin.<br />

I th Threshold current. This is the maximum current through<br />

the device and can exceed the operating current by as<br />

much as 50%.<br />

NB. The power supply must be capable of passing<br />

through this point.<br />

V th Threshold voltage. The voltage at the current<br />

maximum.<br />

The ratio 7R G /R 0 is an important circuit design parameter. V th<br />

and I th are independent of the external circuit and may be<br />

measured with the diode in any good heat sink. Because V th is<br />

measured on the flat part of the curve, the measuring technique<br />

must be carefully specified to avoid error.<br />

7491<br />

I<br />

I th<br />

"<br />

R 0<br />

The frequency of the <strong>Gunn</strong> diode is determined primarily by the<br />

transit region length, l. However, a portion of this region is used<br />

to accelerate the electrons from the cathode until they have<br />

sufficient energy to enter the low mobility state and does not<br />

support domain formation. This ‘dead zone’ may be as much as<br />

0.25 mm in a transit region length of 1.5 mm (for a millimetric<br />

diode) and, because it acts as a parasitic resistance, results in<br />

reduced efficiency. For conventional <strong>Gunn</strong> diodes there is a<br />

rapid fall-off in power at frequencies above 60 GHz, where the<br />

less efficient second harmonic component of the power has to<br />

be utilised.<br />

The starting voltage must be well below the required operating<br />

voltage (typically V op = 3 x V th ), particularly when low<br />

temperature operation is required, as the starting voltage rises<br />

with falling temperature. This can be controlled to some extent<br />

by the correct choice of n and l, but severely restricts the use of<br />

conventional <strong>Gunn</strong> diodes at temperatures below about 725 8C.<br />

The turn-on voltage, V on (the voltage above threshold at which<br />

coherent RF power is obtained), increases to the point where it<br />

equals the peak power voltage V pk (see Fig. 2.7a). This forces<br />

the diode to be operated at a higher voltage with corresponding<br />

loss in power, reduced efficiency, poor FM sideband noise and<br />

the increased possibility of device failure.<br />

2.4 Graded-gap <strong>Gunn</strong> Diode<br />

The limitations of the conventional <strong>Gunn</strong> diode (described<br />

earlier) can be overcome by injecting high energy, ‘hot<br />

electrons’, into the transit region. The concept is to introduce<br />

electrons into a region so that the temperature, which describes<br />

their energy distribution, is much greater than that of the<br />

semiconductor lattice. In the graded-gap <strong>Gunn</strong> diode, electrons<br />

are injected into the transit region with an energy equal to that<br />

of the G-L intervalley separation so that stable domains will<br />

form very near to the cathode and move across the transit<br />

region as soon as the field is high enough to sustain<br />

accumulation and propagation. The dead zone is effectively<br />

eliminated and the transit length is fixed and independent of<br />

bias. Therefore, coherent power can be generated over a wide<br />

range of operating voltages (see Fig. 2.7b).<br />

V th<br />

"<br />

V<br />

7492<br />

n ++ n ++<br />

DOPING DENSITY<br />

"<br />

"<br />

l<br />

"<br />

n<br />

OHMIC<br />

CONTACT<br />

TRANSIT REGION<br />

SUBSTRATE<br />

OHMIC<br />

CONTACT<br />

Fig. 2.6<br />

Structural Schematic and Current-Voltage Relationship for a Conventional <strong>Gunn</strong> Diode<br />

<strong>Gunn</strong> <strong>Diodes</strong> AN1, page 8<br />

#2000 <strong>Marconi</strong> <strong>Applied</strong> <strong>Technologies</strong>


V on V pk<br />

7493<br />

POWER (mW)<br />

50<br />

"<br />

"<br />

25<br />

0<br />

0<br />

a)<br />

1 2 3 4 5 6<br />

VOLTAGE (V)<br />

V pk<br />

50<br />

"<br />

POWER (mW)<br />

25<br />

V on<br />

"<br />

0<br />

0<br />

b)<br />

1 2 3 4 5 6<br />

VOLTAGE (V)<br />

Fig. 2.7<br />

Typical Turn-on Characteristic of: a) Conventional <strong>Gunn</strong> Diode and b) Graded-gap <strong>Gunn</strong> Diode<br />

There are a variety of possible structures which can be used for<br />

hot electron injection. To produce microwave power with as<br />

little bias dependence as possible, the optimum injector shape<br />

has a slowly increasing potential with an abrupt drop back to<br />

the transit region value. This is best realised with a graded-gap<br />

injector (see Fig. 2.8). Simulations have shown that a thin n +<br />

layer between the injector and the transit region is critical for<br />

controlling the electric field, while retaining the hot electron<br />

properties. Fig. 2.8b shows the n + spike depleted giving an<br />

injection energy of DE.<br />

An additional benefit from using a graded-gap <strong>Gunn</strong> diode is<br />

the much improved temperature stability. This is due to the<br />

electron temperature being set by the injection energy, typically<br />

equivalent to 2000 K. Changes in the substrate temperature in<br />

the 130 8C range usually required for military specifications, etc,<br />

are relatively small in comparison.<br />

The structural schematic and current-voltage relationship for a<br />

graded-gap <strong>Gunn</strong> diode are shown in Fig. 2.9. Under forward<br />

bias, the peak current is much less defined due to the action of<br />

the cathode injector (i.e. significant numbers of electrons<br />

already reside in the upper valley when entering the transit<br />

region) and the gradient of the curve beyond threshold is<br />

shallower.<br />

#2000 <strong>Marconi</strong> <strong>Applied</strong> <strong>Technologies</strong> <strong>Gunn</strong> <strong>Diodes</strong> AN1, page 9


7494<br />

n + SPIKE<br />

BIAS = 0<br />

"<br />

CONTACT INJECTOR TRANSIT REGION CONTACT<br />

"<br />

"<br />

"<br />

"<br />

"<br />

"<br />

a)<br />

e 7<br />

"<br />

"<br />

GRADED<br />

GAP<br />

"<br />

*DE<br />

BIAS = V<br />

V<br />

"<br />

"<br />

n + n + n 7<br />

n +<br />

b)<br />

Fig. 2.8 A Schematic Diagram of a Hot Electron Injector <strong>Gunn</strong> Diode under a) Zero Bias, and b) Forward Bias V.<br />

7495<br />

REVERSE<br />

1<br />

FORWARD<br />

CURRENT (A)<br />

0<br />

0<br />

1 2 3 4<br />

BIAS (V)<br />

7496<br />

n ++ n + n ++<br />

DOPING DENSITY<br />

"<br />

"<br />

l<br />

"<br />

n<br />

OHMIC<br />

CONTACT<br />

GRADED<br />

AlGaAs<br />

TRANSIT REGION<br />

SUBSTRATE<br />

OHMIC<br />

CONTACT<br />

Fig. 2.9<br />

Structural Schematic and Current-Voltage Relationship for a Graded-gap <strong>Gunn</strong> Diode<br />

<strong>Gunn</strong> <strong>Diodes</strong> AN1, page 10<br />

#2000 <strong>Marconi</strong> <strong>Applied</strong> <strong>Technologies</strong>


Graded-gap <strong>Gunn</strong> diodes have demonstrated room temperature<br />

performance of up to 80 mW and 2.4% efficiency at 90 GHz;<br />

the best results achieved for mm-wave GaAs devices at this<br />

frequency. 50 - 60 mW at 94 GHz, with efficiencies of 1.6%, is<br />

reproducibly achieved (see Table 2.1). FM sideband noise is<br />

better than 780 dBc/Hz, 100 kHz from carrier, equal to that<br />

obtained from the best conventional devices. Significantly<br />

these devices exhibit a turn-on voltage very close to threshold<br />

(see Figure 2.7b), which allows coherent oscillations around<br />

peak power over the full military specification temperature<br />

range. Further evidence of the improved temperature stability<br />

can be seen from the power, frequency and peak power<br />

variations across this temperature range, generally a factor of<br />

two or more below that exhibited by devices without hot<br />

electron injection. This is an added bonus for VCO designers<br />

who can then utilise a larger bandwidth, because there is no<br />

longer need to compensate for frequency drift with<br />

temperature.<br />

Freq<br />

(GHz)<br />

Temp<br />

(8C)<br />

V on<br />

(V)<br />

V op<br />

(V)<br />

I op<br />

(mA)<br />

Power<br />

(mW)<br />

Eff<br />

(%)<br />

Noise *<br />

(dBc/Hz)<br />

90 740 3.9 4.9 680 58 1.75<br />

90 +25 3.2 4.7 660 50 1.6 786<br />

90 +80 3.1 4.8 640 42 1.4<br />

3 APPLICATIONS<br />

<strong>Gunn</strong> diodes are reliable, relatively easy to install and the lower<br />

output power levels fall well below the safety exposure limits.<br />

They are ideally suited for use in low noise sources such as local<br />

oscillators, locking oscillators, low and medium power<br />

transmitter applications and motion detection systems. Higher<br />

power varieties can be used in phase-locked oscillators or as<br />

reflection amplifiers in point-to-point communication links and<br />

telemetry systems.<br />

Microwave sources have the advantages over ultrasonic<br />

detectors of size and beamwidth, and over optical systems of<br />

working in dusty and adverse environments. The low voltage<br />

requirements of <strong>Gunn</strong> oscillators mean that battery or regulated<br />

mains supplies may be used, (battery drain can be reduced by<br />

using low current devices or by operation in a pulsed mode).<br />

However, microwaves are reflected from metal surfaces and<br />

partially reflected from many others e.g. brick, Tarmac and<br />

concrete, and they are attenuated by oxygen, water or water<br />

vapour. Figure 3.1 shows attenuation effects in the frequency<br />

range of interest.<br />

94 +25 3.0 4.5 600 60 2.0 788<br />

60 +25 3.0 4.5 600 120 5.0 790<br />

35 +25 3.0 4.5 1300 350 5.5 795<br />

* 100kHz offset frequency<br />

Table 2.1 Typical Performance of Graded-gap GaAs <strong>Gunn</strong><br />

<strong>Diodes</strong><br />

FREQUENCY (GHz)<br />

10 15<br />

30<br />

60 70 95 100 150 220 300<br />

100<br />

183 GHz<br />

60 GHz<br />

7497<br />

ATTENUATION (dB/km)<br />

10<br />

1.0<br />

0.1<br />

SEA LEVEL<br />

"<br />

22 GHz<br />

"<br />

"<br />

0 2<br />

118 GHz<br />

0 2<br />

"<br />

H 2 0<br />

0.01<br />

0.001<br />

"<br />

"<br />

H 2 0<br />

4km<br />

ITU REGION 2 RADIOLOCATION BANDS<br />

"<br />

"<br />

IEEE RADAR LETTERBANDS<br />

X Ku K Ka mm<br />

30 20<br />

10<br />

5<br />

3<br />

2 1<br />

WAVELENGTH (mm)<br />

Fig. 3.1<br />

Atmospheric attenuation at millimetre wavelengths with IEEE radar letterbands and ITU radiolocation bands for<br />

region 2 (after Altshuler et al)<br />

#2000 <strong>Marconi</strong> <strong>Applied</strong> <strong>Technologies</strong> <strong>Gunn</strong> <strong>Diodes</strong> AN1, page 11


The range of application of <strong>Gunn</strong> sensors for industrial and<br />

commercial use is extensive and the following is only a brief list:<br />

Collision avoidance radar<br />

Vehicle ABS<br />

Traffic analyser sensors<br />

‘Blind spot’ car radar<br />

Pedestrian safety systems<br />

Elapsed distance meters<br />

Automatic identification<br />

Presence/absence indicators<br />

Movement sensors<br />

Distance measurements<br />

Slow-speed sensors<br />

Level sensors<br />

Traffic signal actuators<br />

Proximity movement detectors<br />

Door opening sensors<br />

Barrier operation<br />

Process control devices (object counting)<br />

Intruder/burglar alarms<br />

Perimeter protection<br />

Train derailment sensors<br />

Contactless vibration transducers<br />

Rotational speed tachometers<br />

Linear distance indicators<br />

Moisture content measurement<br />

Table 3.1 indicates the most commonly used <strong>Gunn</strong> diode types<br />

by application.<br />

APPLICATION<br />

Local Oscillators:<br />

Radar<br />

Fast tunable ECM<br />

Diode noise measurement<br />

Telecommunications:<br />

Transmitters<br />

Low noise oscillators<br />

Point-to-point links<br />

Control devices:<br />

Railway crossings<br />

Traffic control<br />

Vehicle ABS<br />

Door openers<br />

Motion detectors:<br />

Speed control<br />

Radar detectors<br />

Intruder alarms<br />

Shoreline navigation<br />

Low Power<br />

Fixed Frequency CW Broadband CW Pulsed<br />

High Power<br />

Low Frequency High Frequency<br />

*<br />

*<br />

*<br />

*<br />

*<br />

*<br />

*<br />

*<br />

* *<br />

*<br />

*<br />

*<br />

*<br />

Transmitters:<br />

Radar transponders<br />

Missile beacons<br />

Radio link exciters *<br />

Injection locked amplifiers *<br />

Paramp pump sources *<br />

Instrumentation *<br />

*<br />

*<br />

*<br />

*<br />

Table 3.1<br />

<strong>Gunn</strong> Diode Selection Chart<br />

<strong>Gunn</strong> <strong>Diodes</strong> AN1, page 12<br />

#2000 <strong>Marconi</strong> <strong>Applied</strong> <strong>Technologies</strong>


7498<br />

"<br />

RF<br />

DIODE<br />

"<br />

RF<br />

IRIS<br />

DIODE<br />

"<br />

*lg/2<br />

"<br />

"<br />

*lg/2<br />

"<br />

Fig. 3.2<br />

Basic Microwave Cavity Design<br />

3.1 Oscillator Design<br />

The natural frequency of oscillation of the <strong>Gunn</strong> diode can be<br />

altered to some extent by the external circuit. The formation or<br />

premature collapse of a domain within a cycle can be<br />

controlled, and hence the power, frequency and efficiency<br />

adjusted. Control of the frequency by external means rather<br />

than by device parameters only is essential for a stable<br />

oscillator. The external cavity used to resonate the device<br />

negative impedance can be coaxial, waveguide, microstrip, YIG<br />

crystal, etc, depending on the required application.<br />

Generally, coaxial and microstrip circuits offer low Q values<br />

with poor noise and stability performance, resulting in the<br />

frequency of oscillation changing with load and environmental<br />

variations. YIG crystal tuned circuits are usually too expensive<br />

for commercial and industrial applications and therefore the<br />

most common cavity is waveguide. Usually the <strong>Gunn</strong> diode is<br />

mounted on a post structure between the waveguide walls,<br />

either lg/2 from an iris or lg/2 from a short circuit (see Fig.<br />

3.2). Some alteration is necessary to set the exact frequency to<br />

allow for diode and package parasitics and manufacturing<br />

tolerances. Tuning screws of either metal or dielectric are used<br />

to modify the cavity resonant frequency. Power output<br />

variations are achieved by adjusting the coupling between<br />

diode and load using variations in post size or tuning screws.<br />

A more detailed schematic of a packaged <strong>Gunn</strong> diode mounted<br />

in a radial disc, microwave cavity and its equivalent circuit<br />

diagram are given in Figs. 3.3 and 3.4.<br />

BACKSHORT<br />

GUNN DIODE<br />

"<br />

7499<br />

"<br />

v<br />

"<br />

"<br />

"<br />

BIAS CHOKE<br />

FILTER<br />

WAVEGUIDE<br />

RADIAL DISC<br />

Fig. 3.3 The Packaged <strong>Gunn</strong> Diode Mounted in a<br />

Microwave Cavity (approximately half scale).<br />

7500<br />

BIAS<br />

CHOKE<br />

FILTER<br />

WAVEGUIDE<br />

BACKSHORT<br />

L P<br />

DISC<br />

LOAD<br />

-R G<br />

L B<br />

C P<br />

C D<br />

C S<br />

Fig. 3.4<br />

An Equivalent Circuit Diagram for the <strong>Gunn</strong> Diode, Package, Disc and Cavity<br />

#2000 <strong>Marconi</strong> <strong>Applied</strong> <strong>Technologies</strong> <strong>Gunn</strong> <strong>Diodes</strong> AN1, page 13


Most simple <strong>Gunn</strong> oscillators are designed empirically using a<br />

few ground rules and a lot of experience. The designs have to<br />

tolerate batch to batch variations in diode parameters and have<br />

the required stability. They must not present the diode with an<br />

RF impedance such that the device takes DC power but<br />

produces no RF output, thus leading to a possible turn-on or<br />

switch-on failure.<br />

A recommended <strong>Gunn</strong> diode driver circuit is shown in Fig. 3.5<br />

V S<br />

Fig. 3.5<br />

R<br />

I R<br />

I B<br />

I Z<br />

"<br />

"<br />

"<br />

"<br />

7501<br />

I R =I B +I Z<br />

I B =I sat /h fe<br />

R=(V S 7V Z1 )/I R<br />

V Z1 =V G0 + 0.7 V<br />

C 1 = 0.1 mF<br />

G 1 = <strong>Gunn</strong> diode<br />

Z 1 ,Z 2 = Zener diode<br />

V Z2 =V G max<br />

V Z1 VZ2 V G0<br />

Z 1 Z 2 C 1<br />

G 1<br />

A Recommended <strong>Gunn</strong> Diode Drive Circuit<br />

3.2 Performance Considerations<br />

3.2.1 Matching<br />

The <strong>Gunn</strong> diode is a current generator and needs matching into<br />

the circuit for optimum output power, noise, smooth tuning<br />

and power-temperature variation. Small differences may exist<br />

even between cavities which are nominally identical. Testing in<br />

the customer’s own cavity design is always the preferred<br />

solution.<br />

The impedance matching problem becomes increasingly critical<br />

as the cavity Q goes up. The impedance of the diode is<br />

determined to the first order by the thickness, doping and<br />

operating voltage. However, second order trimming can be<br />

obtained by varying the voltage to alter the domain width, and<br />

therefore the domain capacitance, by field control. The voltage<br />

at which maximum power is obtained is cavity dependent. If<br />

the diode is not well matched to the cavity, there may be a<br />

conflict between the voltage for correct match and the voltage<br />

at which the diode would want to operate in a low Q cavity.<br />

Trimming the diode parameters, therefore, becomes more<br />

critical as Q increases and the tolerances on device<br />

specifications become correspondingly tighter. It follows that it<br />

is more difficult to design a diode to work in a high Q cavity<br />

without having access to the cavity.<br />

3.2.2 Starting Voltage<br />

The conventional <strong>Gunn</strong> diode is a broadband negative<br />

resistance device and random noise is required to start it.<br />

Starting becomes more difficult at low temperature and in high<br />

Q cavities. High Q operation also means higher voltage<br />

operation for reliable starting. These limitations can be<br />

overcome (at higher frequencies) by the use of a graded-gap,<br />

current injected <strong>Gunn</strong> diode.<br />

3.2.3 Operating Current<br />

Increasing the operating current increases the output power.<br />

However, the maximum safe operating current for an<br />

encapsulated device is limited by the corresponding increase in<br />

the transit region temperature (9250 8C). This, in turn, is<br />

determined by the thermal resistance of the diode itself and by<br />

the effectiveness of the package heat sink (see Section 3.3).<br />

The lower limit of current is more difficult to define because the<br />

series resistance of the ohmic contact increases non-linearly as<br />

the diode area decreases.<br />

3.2.4 Output Power<br />

The output power is determined primarily by the diode area and<br />

the doping level. The highest power/efficiency is achieved<br />

using an integral heat sink (IHS) construction. This has the<br />

advantage of a thick, gold plated heat sink formed directly onto<br />

the epitaxial region and a minimal thickness of remaining<br />

substrate, thereby reducing the parasitic resistance. Further<br />

improvement in output power can be obtained at higher<br />

frequencies by the use of a graded-gap, current injected <strong>Gunn</strong><br />

diode.<br />

The upper limit on power handling is mainly determined by the<br />

dissipation of DC power through the package heat sink and the<br />

fact that the diode impedance becomes low and is difficult to<br />

match.<br />

3.2.5 FM Noise and dF/dT<br />

FM noise measurements are given as noise to carrier ratios (N/<br />

C) versus carrier offset modulation frequency, f m . The<br />

frequency deviation, Df, is calculated from:<br />

N/C = 20.log (Df.H2 /f m )<br />

where values of (N/C) are given in dBc/Hz.<br />

In the graded-gap <strong>Gunn</strong> diode, the variation in position at which<br />

domain formation occurs is much less than in a conventional<br />

device. Associated with this is a reduction in the variance of the<br />

first intervalley scattering effect for electrons entering the<br />

cathode region and hence a reduction in noise.<br />

The factors controlling FM noise and the<br />

frequency-temperature coefficient are complex and are<br />

resolved by work involving both the diode and oscillator<br />

design. The equivalent circuit of both the diode and the cavity<br />

form a total circuit concept and there is a trade-off between the<br />

parameters in each component. Oscillators and diodes need to<br />

be designed together to achieve given second order aspects of<br />

the specification.<br />

Second order effects such as noise, chirp, dF/dT, etc., bear no<br />

direct relationship to the primary characteristics of frequency<br />

and power. The secondary parameters can show wide variation<br />

between diodes, which in all other primary respects are<br />

identical.<br />

<strong>Gunn</strong> <strong>Diodes</strong> AN1, page 14<br />

#2000 <strong>Marconi</strong> <strong>Applied</strong> <strong>Technologies</strong>


3.2.6 Pulse <strong>Diodes</strong><br />

These diodes are even more cavity dependent than CW diodes.<br />

Whereas a conventional CW diode requires as low a series<br />

resistance as possible, this is not true in pulse diodes. The<br />

constant re-nucleation of domains at the start of each pulse<br />

requires closer control of the electric field at the cathode.<br />

Various methods of achieving this are available, including<br />

adding series resistance with a disc or by partially alloying the<br />

contacts to provide some non-ohmic behaviour. Alternatively, a<br />

graded-gap, current injected <strong>Gunn</strong> device may be used.<br />

Frequency change during the pulse (chirp) is also affected by<br />

these measures as is the dF/dT with which it correlates.<br />

Pulse diode noise is normally defined as the degradation in the<br />

Fourier sin(x)/x display of the RF power pulse from the ideal<br />

rectangular pulse values. The factors that control pulse noise<br />

and chirp are complex and the solution in any particular case is<br />

arrived at by modifications both to the diode processing and<br />

oscillator design.<br />

3.2.7 Special Operating Conditions<br />

In all cases where the optimum unique frequency and power<br />

design parameters have to be modified to achieve some special<br />

condition of low or high temperature operation, restricted<br />

voltage or current consumption, or broadband tuning, then<br />

some loss of optimum performance results. There is always a<br />

trade-off to be made to meet a special operating condition.<br />

3.2.8 Low Harmonic <strong>Diodes</strong><br />

<strong>Diodes</strong> can be designed to meet low harmonic generation limits<br />

(if required by local regulations) by modifying the material<br />

specification. The extent to which the harmonics can be<br />

reduced, however, is limited by the cavity design and depends<br />

on the measurement technique.<br />

3.2.9 Broadband Operation<br />

<strong>Diodes</strong> can be specially designed by modifying the material<br />

properties and controlling the encapsulation parasitics to give a<br />

broadband tuning performance in a carefully defined cavity.<br />

This is achieved at the expense of output power and efficiency.<br />

3.2.10 High Temperature Operation<br />

<strong>Marconi</strong> <strong>Applied</strong> <strong>Technologies</strong>’ standard range of <strong>Gunn</strong> diodes<br />

can be used up to heat sink temperatures of 85 8C. At higher<br />

temperatures it is necessary to reduce the transit region doping<br />

level in order to ensure long life. This means that for the same<br />

current flowing through the device a larger die is used and<br />

greater cooling is achieved by the increased area of contact<br />

with the heat sink and the larger surface area for radiation. This<br />

affects other properties of the diode and may require further<br />

modifications to be made to the specification.<br />

3.3 Mounting and Heat Sink Considerations<br />

The increase in temperature between the diode heat sink and<br />

the semiconductor transit region is defined by:<br />

DT =R y (P in 7P out )<br />

The thermal drop between the ambient and the diode heat sink<br />

must also be taken into account to avoid exceeding the<br />

maximum transit region temperature of *250 8C. The transit<br />

region temperature may be computed as follows:<br />

T tr =T amb + DT case + DT<br />

=T amb + DT case +R y (P in 7P out )<br />

where: T tr = transit region temperature (4250 8C).<br />

T amb = ambient temperature.<br />

DT case = temperature difference between the diode<br />

heat sink and ambient at the operating power.<br />

R y = diode thermal resistance.<br />

In well designed packages, the temperature difference, DT case ,<br />

is usually less than 30 8C for an input power of about 15 W.<br />

4 PERFORMANCE CHARACTERISTICS<br />

4.1 Limiting Conditions of Use<br />

Temperature:<br />

operating (for standard types) . . . . 740 to +85 8C<br />

storage . . . . . . . . . . . . 755 to +150 8C<br />

Operating voltage . . . . each type is individually rated.<br />

<strong>Application</strong> of a bias voltage in excess of this value may lead to<br />

degradation in performance.<br />

#2000 <strong>Marconi</strong> <strong>Applied</strong> <strong>Technologies</strong> <strong>Gunn</strong> <strong>Diodes</strong> AN1, page 15


4.2 Typical Performance Curves<br />

7502<br />

1.5<br />

1.5<br />

I TH<br />

0 1 2<br />

1.0<br />

1.0<br />

I TH<br />

CURRENT (A)<br />

0.5<br />

0<br />

Fig. 4.1<br />

0 1 V TH 2<br />

3 4 V op 5<br />

BIAS VOLTAGE<br />

a)<br />

CURRENT (A)<br />

0.5<br />

0<br />

BIAS VOLTAGE<br />

b)<br />

Typical DC Characteristic a) Standard <strong>Gunn</strong> Diode, b) Graded-gap <strong>Gunn</strong> Diode<br />

V TH 3 4 V op 5<br />

7503<br />

OUTPUT POWER PO (mW)<br />

300<br />

Df<br />

200<br />

300<br />

200<br />

100<br />

0<br />

7100<br />

7200<br />

7300<br />

100<br />

740 720 0 20 40 60 80<br />

CASE TEMPERATURE T (8C)<br />

P O<br />

FREQUENCY CHANGE Df (MHz)<br />

OUTPUT POWER PO (mW)<br />

a) b)<br />

110<br />

Df<br />

100<br />

P O<br />

280<br />

80<br />

0<br />

90<br />

7120<br />

740 720 0 20 40 60 80<br />

CASE TEMPERATURE T (8C)<br />

FREQUENCY CHANGE Df (MHz)<br />

30<br />

55<br />

40<br />

OUTPUT POWER PO (mW)<br />

20<br />

10<br />

0<br />

740<br />

720<br />

CASE TEMPERATURE T (8C)<br />

0<br />

P O<br />

20<br />

40<br />

Df<br />

60<br />

200<br />

100<br />

0<br />

7100<br />

80<br />

FREQUENCY CHANGE Df (MHz)<br />

OUTPUT POWER PO (mW)<br />

50<br />

Df<br />

45<br />

40<br />

35<br />

P O<br />

740 720 0 20 40 60 80<br />

CASE TEMPERATURE T (8C)<br />

0<br />

740<br />

780<br />

7120<br />

FREQUENCY CHANGE Df (MHz)<br />

c) d)<br />

Fig. 4.2<br />

Variation of Power and Frequency with Temperature for:<br />

a) DC1276H operating in the fundamental mode;<br />

b) DC1277G-T operating in the fundamental mode;<br />

c) DC1279D operating in the second harmonic mode;<br />

d) DC1279F-T operating in the second harmonic mode<br />

<strong>Gunn</strong> <strong>Diodes</strong> AN1, page 16<br />

#2000 <strong>Marconi</strong> <strong>Applied</strong> <strong>Technologies</strong>


1000<br />

100<br />

1000<br />

100<br />

P out<br />

P out<br />

Z eff<br />

P out<br />

Z eff<br />

100<br />

10<br />

100<br />

P out (1)<br />

10<br />

P out (2)<br />

Fig. 4.3<br />

POWER (mW)<br />

10<br />

Z EFFICIENCY<br />

1<br />

30 100<br />

FREQUENCY (GHz)<br />

Variation of power and frequency with temperature<br />

for DC1276 and DC1277 series.<br />

PERCENTAGE (%)<br />

Fig. 4.4<br />

POWER (mW)<br />

10<br />

Z EFFICIENCY (1)<br />

1<br />

30 100<br />

FREQUENCY (GHz)<br />

Z EFFICIENCY (2)<br />

Variation of power and efficiency for: 1) DC1278<br />

and DC1279 series; 2) DC1279F-T series<br />

PERCENTAGE (%)<br />

#2000 <strong>Marconi</strong> <strong>Applied</strong> <strong>Technologies</strong> <strong>Gunn</strong> <strong>Diodes</strong> AN1, page 17


+30<br />

+1<br />

CHANGE IN FREQUENCY (MHz)<br />

+20<br />

0<br />

POWER<br />

+10<br />

71<br />

0<br />

72<br />

710<br />

FREQUENCY<br />

73<br />

720<br />

8 9 10 11 12 74<br />

OPERATING VOLTAGE (V)<br />

CHANGE IN POWER (dB)<br />

Fig. 4.5<br />

Variation of output power and frequency with operating voltage<br />

15<br />

+3<br />

+2<br />

Fig. 4.6<br />

FREQUENCY (GHz)<br />

10<br />

5<br />

POWER<br />

VOLTAGE<br />

0<br />

73<br />

8 9 10 11 12<br />

OPERATING VOLTAGE (V)<br />

Effect of voltage tracking on the variation of output power with frequency on a wideband tunable waveguide<br />

oscillator.<br />

+1<br />

0<br />

71<br />

72<br />

CHANGE IN OUTPUT POWER (dB)<br />

I sat<br />

I op<br />

GUNN VOLTAGE<br />

CHANGE IN FREQUENCY (MHz)<br />

+10<br />

0<br />

710<br />

720<br />

Fig. 4.8<br />

730<br />

73<br />

720 710 0 +10 +20 +30 +40 +50 +60 +70<br />

TEMPERATURE (8C)<br />

FREQUENCY<br />

POWER<br />

+1<br />

Variation of frequency and power with temperature.<br />

0<br />

71<br />

72<br />

CHANGE IN POWER (dB)<br />

GUNN CURRENT<br />

V sat<br />

V op<br />

Fig. 4.7<br />

DC <strong>Gunn</strong> characteristics<br />

<strong>Gunn</strong> <strong>Diodes</strong> AN1, page 18<br />

#2000 <strong>Marconi</strong> <strong>Applied</strong> <strong>Technologies</strong>


5 BIBLIOGRAPHY<br />

Microwave Oscillation of Current in III-V Semiconductors.<br />

<strong>Gunn</strong> J.B.<br />

Solid State Commun., 1, 88 (1963).<br />

Theory of the <strong>Gunn</strong> Effect.<br />

Kroemer H.<br />

Proc. IEEE, 52, 1736 (1964).<br />

The <strong>Gunn</strong> Effect.<br />

Hobson G.S.<br />

Clarendon, Oxford, 1974.<br />

Theory of Stable Domain Propagation in the <strong>Gunn</strong> Effect.<br />

Butcher P.N.<br />

Phys. Lett., 19, 546 (1965).<br />

Transferred Electron Amplifiers and Oscillators for Microwave<br />

<strong>Application</strong>.<br />

Sterzer F.<br />

Proc. IEEE, 59, 1155 (1971).<br />

Hot Electron Microwave Generators.<br />

Carroll J.E.<br />

Arnold, 1970.<br />

Fundamental Mode graded-gap <strong>Gunn</strong> Diode Operation at 77<br />

and 84 GHz.<br />

Dale I., Stephens J.R.P., Bird J.<br />

Conf. Proc. Microwaves ‘94, .<br />

Advances in Hot Electron Injector <strong>Gunn</strong> diodes.<br />

Spooner H., Couch N.R.<br />

GEC J. of Res., 7, 34 (1989).<br />

Hot Electron Injection by Graded Al X Ga 1-X As.<br />

Long A.P., Beton P.H., Kelly M.J., Kerr T.M.<br />

Electronics Letters, 22, 130 (1986).<br />

Hot Electron Injection : Concept to Product.<br />

Couch N.R., Kelly M.J.<br />

Physics World, 2, 37 (1989).<br />

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#2000 <strong>Marconi</strong> <strong>Applied</strong> <strong>Technologies</strong> Printed in England<br />

<strong>Gunn</strong> <strong>Diodes</strong> AN1, page 19

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