Abstract

This article presents a mode-matching formulation for the scattering analysis of curved rectangular waveguides. We use exponentially scaled Hankel functions with complex-valued orders to solve the electromagnetic fields in <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">E</i> -and <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">H</i> -plane bend configurations, and then, we obtain a generalized scattering matrix (GSM) representation for characterizing U-and S-shaped waveguides. Numerical results show that our method is accurate and computationally efficient compared with a finite-element method (FEM) and experimental reference solutions.

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