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Q Factors of a Transmission Line Cavity

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1 Author(s)

On investigating the properties of a transmission line cavity, new expressions for theQfactor and logarithmic decrementdeltawere derived, and were compared with the expressions for a single shunt or series LCR circuit. It was expected that the expressions forQand{pi}/{delta}would be very similar, if not the same, as is the case with LCR circuits. That this expectation was not realized was attributed to the finite velocity of wave propagation. The two expressions are the same only so long as the transfer of influence is assumed instantaneous or the losses are uniformly distributed. It is possible to define aQof steady-state oscillations ("wavemeterQ") and aQof decaying oscillations ("echoboxQ"). The expressions for these twoQfactors are the same in the case of an LCR circuit, but for a transmission line cavity the two formulas contain different transcendental functions of the circuit parameters, and tend towards equality only for largeQ, or no external loading.

Published in:

Circuit Theory, IRE Transactions on  (Volume:4 ,  Issue: 1 )

Date of Publication:

Mar 1957

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