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Radar System Engineering

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SEC. 11.7] THE LOCAL OSCILLATOR 415<br />

just beyond the grids there is a strong retarding field produced by a<br />

reflector electrode maidained about 100 volts negative with respect to<br />

the cathode. The trajectory of the reference electron in this space is<br />

similar to that of a ball thrown into the air. It will return to the grids<br />

after a time proportional to its initial velocity and inversely proportional<br />

tothe retarding field. Anelectron that leaves thegrids earlier than the<br />

reference electron will have been accelerated by the r-f voltage across<br />

the cavity and, because of its higher velocity, will spend a greater time in<br />

the reflection space. Byproperadjustment of the retarding field, the delay<br />

may be made to compensate for its +40<br />

earlier departure, and it may be<br />

made to arrive back at the grids at<br />

the same time as the reference<br />

electron. Similarly, an electron<br />

leaving later than the reference<br />

electron catches up by spending less<br />

g<br />

~ +20 wavelength=10.7cm<br />

=.:<br />

;.$ o<br />

:=<br />

S’ -20<br />

L<br />

Cathdde-anode voltage=290 v<br />

.-40 Ei=Ea<br />

Ii;=<br />

-30 -40 -50 -60<br />

Reflector voltage<br />

time in the retarding field as a result<br />

of its lowered velocity. The<br />

net effect is that the electrons gather<br />

in a bunch. I At certain reflector<br />

voltages the bunch will pass through<br />

the cavity grids in such a phase that<br />

F1~.11.23.—Reflectorcharacteristics<br />

707A.<br />

of the<br />

the r-f field retards the electrons. The electrons then give energy to the<br />

cavity and thereby sustain the oscillations. Oscillation is observed for<br />

more than one reflector voltage because drift times differing by a whole<br />

r-f cycle still produce satisfactory bunching.<br />

The net energy given to the electrons during their first passage through<br />

the cavity is negligible when averaged over a whole cycl~, being balanced<br />

between acceleration and deceleration. On the return passage, however,<br />

most of the electrons go through in a bunch at the most favorable phase<br />

to aid the oscillation. Half a cycle later, when returning electrons<br />

would absorb energy in being accelerated, very few electrons are passing<br />

through. Useful power is delivered to an external load through a coaxial<br />

line, loop-coupled to the cavity. The efficiency is rather low, in the<br />

neighborhood of 1 per cent. Power outputs of 20 to 50 mw are typical.<br />

Local oscillators are tuned by mechanically changing the size of the<br />

cavity. A limited amount of electrical tuning is possible through variations<br />

of the reflector voltage. Figure 11.23 shows the frequency and<br />

power output of a 10-cm reflex klystron as a function of reflector voltage.<br />

When the reflector is made more negative, the bunch arrives at the cavity<br />

I In the older two-cavity klystrons, where the bunching takes place in a field-free<br />

space, the bunch forms about the electron that passesthrough the first cavity as the<br />

field is changing from deceleration to acceleration.

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