Abstract

We give a method of constructing the dispersion equations for waveguides made of recitilinearly orthotropic materials and having a section that is either elliptic or approximately that of a regular 2n-gon (n>-2) with rounded corners. The equations of motion for the waveguide can be integrated in series of basic particular solutions of exponential type. The dispersion functions are obtained in the form of reduced infinite determinants from homogeneous functional boundary conditions on the lateral surface of the waveguide after these conditions have been algebraized using orthogonal series expansions.

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