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Description of electromagnetic fields in inhomogeneous accelerating sections. I Field representation
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In this work we present the results of a study of the possibility of using a homogeneous basis and a new generalization of coupled modes theory to describe inhomogeneous accelerating sections. It was shown that the single mode representation describes the electromagnetic fields with small errors in the regular part of the section. In the couplers the accuracy is worse, but it is small enough to be used in calculations. Solving the equations of generalized coupled modes theory requires calculating the derivatives of the fields with respect to various geometrical parameters. Procedures for calculating these derivatives have been developed.
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Generation of a reflected wave in an inhomogeneous medium
In a generalized WKB decomposition of TE waves in an inhomogeneous dielectric, the reflected component has an increasing phase inside the layer, so it is not a left-travelling nonuniform wave.
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