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A modified rational-function method for transmission and reflection calculation at discontinuities

Yih‐Peng Chiou

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Abstract

A novel method based on the Pade approximants is proposed to solve efficiently discontinuity problems. The Pade approximants are derived from the squared characteristic matrices to avoid the singularities in commonly used approximants. Numerical results show the proposed method is very accurate and efficient, especially for cases with negligible evanescent waves in the investigated structures.

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What this paper is about

A novel method based on the Pade approximants is proposed to solve efficiently discontinuity problems. The Pade approximants are derived from the squared characteristic matrices to avoid the singularities in commonly used approximants. Numerical results show the proposed method is very accurate and efficient, especially for cases with negligible evanescent waves in the investigated structures.

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Available abstract

A novel method based on the Pade approximants is proposed to solve efficiently discontinuity problems. The Pade approximants are derived from the squared characteristic matrices to avoid the singularities in commonly used approximants. Numerical results show the proposed method is very accurate and efficient, especially for cases with negligible evanescent waves in the investigated structures.

Key concepts: Padé approximant, Classification of discontinuities, Discontinuity (linguistics), Gravitational singularity, Rational function, Reflection (computer programming), Transmission (telecommunications), Function (biology)

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