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

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
Externally published	Yes

ASJC Scopus subject areas

Electrical and Electronic Engineering

Access to Document

10.1109/8.9724

Cite this

@article{7d3570abc6a74e7f8584b4bf6dcba576,

title = "A Quick Way to Approximate a Sommerfeld-Weyl-Type Integral",

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.",

author = "Chew, {W. C.}",

year = "1988",

month = nov,

doi = "10.1109/8.9724",

language = "English (US)",

volume = "36",

pages = "1654--1657",

journal = "IEEE Transactions on Antennas and Propagation",

issn = "0018-926X",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "11",

}

TY - JOUR

T1 - A Quick Way to Approximate a Sommerfeld-Weyl-Type Integral

AU - Chew, W. C.

PY - 1988/11

Y1 - 1988/11

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0024103886&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0024103886&partnerID=8YFLogxK

U2 - 10.1109/8.9724

DO - 10.1109/8.9724

M3 - Article

AN - SCOPUS:0024103886

VL - 36

SP - 1654

EP - 1657

JO - IEEE Transactions on Antennas and Propagation

JF - IEEE Transactions on Antennas and Propagation

SN - 0018-926X

IS - 11

ER -

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

Abstract

ASJC Scopus subject areas

Access to Document

Other links

Cite this