The Complex Mode Spectrum, and Conjugate Mode Pairs, for Rectangular Waveguides Filled with Biaxially Anisotropic Magneto-dielectric

Authors: Gregory A. Talalai
Source: FERMAT, Volume 21, Article 1, May-Jun., 2017


Abstract: We report that an exact analytical solution for the modal electromagnetic fields in a conducting rectangular waveguide filled homogeneously with an un-rotated biaxially anisotropic magneto-dielectric material can be obtained directly by separation of variables, without recourse to numerical methods. It is found that higher order modes are generally hybrid non-TE/TM type modes. It is shown for strongly anisotropic media that there exist pseudo-evanescent complex conjugate mode pairs. This is the first time complex conjugate mode pairs have been directly demonstrated analytically in waveguide completely filled with magneto-dielectric material. Lastly, it is demonstrated that no alternative mode sets exist. The analytical solution given in this paper has not yet been reported in the literature, and could prove useful in guiding efforts to develop Nicolson-Ross type measurements of non-ideal anisotropic behavior exhibited by passive, micro-structured, magneto-dielectric materials. The solution also adds to the portfolio of exact analytical solutions in applied electromagnetic theory, which can be utilized to test the veracity of general purpose numerical codes.

Index Terms: Complex modes, anisotropic materials, magnetic materials, electromagnetic theory.


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The Complex Mode Spectrum, and Conjugate Mode Pairs, for Rectangular Waveguides Filled with Biaxially Anisotropic Magneto-dielectric







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