The paper gives a formal analogy between the distribution of the electromagnetic field in a wave guide and microwave cavities and the quantum-mechanical probabilities distribution. We show that the wave guide of the cutoff frequency ωc acts on an electromagnetic wave as a quantum potential barrier [Formula: see text]. We also establish a nonhabitual time-independent Schrödinger equation that replaces Maxwell's equations in describing guided wave propagation.
A rapid calculation is used to obtain the resonant frequencies of a dielectric sample excited in a semi-infinite wave guide. An analysis procedure for a sample excited in a semi-infinite wave guide is carried out to show the effect of the sample's dimensions and electrical permittivity. The theoretical resonant frequencies of the resonators are predicted and compared with those measured. The theoretical values of the resonant frequencies are in good agreement with experimental data within a margin of error less than 8%. PACS Nos.: 32.30.Bv, 41.20.Jb
The formal analogy between the distribution of the electromagnetic field in waveguides and microwave cavities and quantum mechanical probability distributions is put into evidence. A waveguide of a cut-off frequency a) c acts on an electromagnetic wave as a quantum potential barrier U g = hco c . A non-habitual time independent Schrödinger equation, describing guided wave propagation, is established.
In the paper an optogalvanic experiment is described. A tunable dye laser irradiates discharge plasma in neon and the change of the plasma density is measured by microwave technique. The paper describes also the theoretical method which gives the change of the plasma impedance in relation to the measured signal. Finally the measuring method, the theoretical predictions for optimizing the method and the proposed approximations were experimentally checked. : 52.70.Gw, 52.40.Fd
PACS
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