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Non-foster matching of an RFID antenna - New Jersey Institute of ...

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CHAPTER 2<br />

NEGATIVE IMPEDANCE CONVERTER<br />

2.1 Introduction<br />

All Negative Imped<strong>an</strong>ce Converters (NIC) use positive feedback to develop a drivingpoint<br />

imped<strong>an</strong>ce that is the negative <strong>of</strong> one <strong>of</strong> the passive elements used in the feedback<br />

loop. If the feedback reference element is a resistor, the two-terminal characteristic is a<br />

negative resist<strong>an</strong>ce. A negative input capacit<strong>an</strong>ce or negative induct<strong>an</strong>ce results when we<br />

replace the feedback resistor by a capacitor or <strong>an</strong> induct<strong>an</strong>ce.<br />

In this thesis negative imped<strong>an</strong>ce converter is used to eliminate the reactive<br />

component <strong>of</strong> the input imped<strong>an</strong>ce <strong>of</strong> a tag <strong>an</strong>tenna.<br />

Electrically Small Antennas<br />

An electrically small <strong>an</strong>tenna (ESA) is <strong>an</strong> <strong>an</strong>tenna whose maximum physical<br />

dimension is much less th<strong>an</strong> the free space wavelength 4. One widely accepted definition<br />

is that <strong>an</strong> <strong>an</strong>tenna is considered <strong>an</strong> ESA at a frequency if it fits inside the so-called radi<strong>an</strong><br />

sphere, or<br />

where a is the radius <strong>of</strong> the smallest sphere enclosing the <strong>an</strong>tenna, k, = 2πf/ c is the freespace<br />

wave number, <strong>an</strong>d c 3 x 108 m/s is the speed <strong>of</strong> light in vacuum. The input<br />

imped<strong>an</strong>ce <strong>of</strong> <strong>an</strong> <strong>an</strong>tenna c<strong>an</strong> be modeled as a lumped react<strong>an</strong>ce in series with a<br />

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