New Approximations for the Fresnel Integrals

M. Hamid Department of Electrical and Computer Engineering University of South Alabama Mobile, Alabama 36688, USA

W. Stapleton Department of Electrical and Computer Engineering University of South Alabama Mobile, Alabama 36688, USA

A. El-Saba Department of Electrical and Computer Engineering University of South Alabama Mobile, Alabama 36688, USA

A. Rahman Department of Electrical and Computer Engineering University of South Alabama Mobile, Alabama 36688, USA

A. Sakla Department of Electrical and Computer Engineering University of South Alabama Mobile, Alabama 36688, USA

P. Byrne Department of Electrical and Computer Engineering University of South Alabama Mobile, Alabama 36688, USA

T. Thomas Department of Electrical and Computer Engineering University of South Alabama Mobile, Alabama 36688, USA

D. VanLandingham Department of Electrical and Computer Engineering University of South Alabama Mobile, Alabama 36688, USA

show all

Abstract

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.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

New Approximations for the Fresnel Integrals

Information for

Open access

Opportunities

Help and information

New Approximations for the Fresnel Integrals

Abstract

Reprints and Corporate Permissions

Academic Permissions

Related research

To cite this article:

Download citation

Information for

Open access

Opportunities

Help and information

Keep up to date

Your download is now in progress and you may close this window

Login or register to access this feature