Abstract
Based on the concept of spectral eigenwaves, an eigenfunction expansion of the Green dyadics in gyroelectric chiral medium is developed in terms of the cylindrical vector wave functions. The formulations are considerably simplified by analytically evaluating the integrals with respect to the spectral longitudinal and radial wavenumbers, respectively. The analysis indicates that solutions of the source-incorporated Maxwell's equations in a homogeneous gyroelectric chiral medium, which can be represented in sum-integral forms of the cylindrical vector wave functions, are composed of two (or four) eigenwaves travelling with different wavenumbers. Each of these eigenwaves is a superposition of two transverse waves and a longitudinal wave. The Green dyadics of planarly and cylindrically multilayered structures consisting of gyroelectric chiral media can be straightforwardly obtained by applying the method of scattering superposition and appropriate boundary conditions, respectively. The present formulations, which can be verified by comparing their special forms with existing results, provide fundamental basis to analyze the physical phenomena of source-incorporated gyroelectric chiral media. To illustrate how to use the present formulations in a practical way, electromagnetic fields of an infinitely long electric current placed in an unbounded gyroelectric chiral medium are presented.
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