New approximations for the Fresnel integrals

被引：1

作者：

Hamid, M ^{[1
]}

Stapleton, W ^{[1
]}

El-Saba, A ^{[1
]}

Rahman, A ^{[1
]}

Sakla, A ^{[1
]}

Byrne, P ^{[1
]}

Thomas, T ^{[1
]}

VanLandingham, D ^{[1
]}

机构：

[1] Univ S Alabama, Dept Elect & Comp Engn, Mobile, AL 36688 USA

来源：

JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS | 2000年 / 14卷 / 11期

关键词：

Asymptotic stability - Electromagnetic field theory - Integral equations - Polynomial approximation;

D O I：

10.1163/156939300X00356

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

New approximate relations are presented for the sine and cosine Fresnel integrals based on a least-squares fit for the sine and cosine functions in the integrands. It is found that the resulting polynomial expressions are extremely accurate and particularly useful for small arguments where the usual asymptotic series approximations are not satisfactory.

引用

页码：1577 / 1587

页数：11

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