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Electromagnetic Reverberation Chambers by Bernard Démoulin, Philippe Besnier

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Appendix 2

Formulas of the Quality Factor of a Rectangular Cavity

A2.1. Quality factor of the TMm n p mode

We will reproduce the formula established by Liu of the TMm n p mode [LIU 83]:

[A2.1] images

The notation conventions are recalled below:

[A2.2] images

[A2.3] images

We find in [A2.1] the impedance of the Zw plane wave and the surface resistance of the walls of the Rs cavity:

[A2.4] images

a, b and d are the dimensions of the cavity.

A2.2. Calculation of the average images quality factor

We will not recall the whole development of the Liu calculation, which is reproduced in detail in [LIU 83]. This appendix will limit itself to the framework of the calculation.

The computation is established for an over sized cavity, in the bandwidth occupied by a mode interfering with other modes, whose population will only increase with the frequency of the RF emission. According to the description proposed in section 2.3.2, we consider that the Δ fm n p bandwidth belongs with the mode tuned on the fm n p frequency. Knowing that ...

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