Electromagnetic Coupling to Transmission Lines with Symmetric Geometry Inside Rectangular Resonators
In this chapter, the analysis of transmission lines inside rectangular resonators is extended from one conductor with two sources/loads at the ends to many loads along the conductor and to the interaction between two conductors. To do this, the many loads are described as passive small (δ-) sources, whose corresponding electrical fields superpose with fields from other sources. The currents in the individual loads are found by imposing the boundary condition for the total electrical field on the surface of the conductor and applying a Fourier series expansion for the current. The calculation of the interaction of two lines in the resonator is based on the known description for one conductor and the two-dimensional Green’s function, which occurs in the analytical expressions for the currents. This Green’s function is used for both conductors separately. Then, with the aid of the superposition principle, the individual currents for the lines are derived. These computational procedures are illustrated by two examples.
KeywordsTransmission line Cavity resonator Analytical solutions Thin wires
This work was supported by the Bundeswehr Research Institute for Protective Technologies and NBC-Protection (WIS), Munster, Germany, under contract E/E590/CZ003/CF149 and in part by the German Research Foundation (DFG) under contract VI 207/3-1.
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