A Quick Way to Approximate a Sommerfeld-Weyl-Type Integral

W. C. Chew

doi:10.1109/8.9724

A Quick Way to Approximate a Sommerfeld-Weyl-Type Integral

W. C. Chew

Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

A method to evaluate the Sommerfeld-Weyl-type integral rapidly in the far field is reviewed. With such a method, one can perform “back-of-the-envelope” derivations for the Far-Field expressions of Sommerfeld-Weyl-type integrals. First, the stationary phase point of the integrand is identified, which can be easily remembered from its physical interpretation. Next, we identify closed-form integrals that allow us to integrate the rapidly varying part of the integrand in closed form.

Original language	English (US)
Pages (from-to)	1654-1657
Number of pages	4
Journal	IEEE Transactions on Antennas and Propagation
Volume	36
Issue number	11
DOIs	https://doi.org/10.1109/8.9724
State	Published - Nov 1988

ASJC Scopus subject areas

Electrical and Electronic Engineering

Access to Document

10.1109/8.9724

Cite this

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abstract = "A method to evaluate the Sommerfeld-Weyl-type integral rapidly in the far field is reviewed. With such a method, one can perform “back-of-the-envelope” derivations for the Far-Field expressions of Sommerfeld-Weyl-type integrals. First, the stationary phase point of the integrand is identified, which can be easily remembered from its physical interpretation. Next, we identify closed-form integrals that allow us to integrate the rapidly varying part of the integrand in closed form.",

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