Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 7-Day Trial for You or Your Team.

Learn More →

An intermediate range solution to a diffraction problem with impedance conditions

An intermediate range solution to a diffraction problem with impedance conditions An intermediate range solution for the problem of plane wave diffraction by a finite plate with impedance boundaries is presented. Initially, the problem is expressed in terms of two Wiener–Hopf equations with the help of Fourier transform and the boundary conditions in the transformed domain. The consideration of the intermediate range approximation in terms of source position renders integrals that are generally elusive to tackle because of the presence of branch points. These integrals are evaluated by invoking a modified stationary phase method, thereby a field valid over an intermediate range is calculated. The graphical analysis is preformed for various parameters of physical interest for both intermediate and far-field solutions. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Modern Optics Taylor & Francis

An intermediate range solution to a diffraction problem with impedance conditions

Journal of Modern Optics , Volume 61 (16): 9 – Sep 20, 2014
9 pages

Loading next page...
 
/lp/taylor-francis/an-intermediate-range-solution-to-a-diffraction-problem-with-impedance-PXbe93oNTQ

References (26)

Publisher
Taylor & Francis
Copyright
© 2014 Taylor & Francis
ISSN
1362-3044
eISSN
0950-0340
DOI
10.1080/09500340.2014.931477
Publisher site
See Article on Publisher Site

Abstract

An intermediate range solution for the problem of plane wave diffraction by a finite plate with impedance boundaries is presented. Initially, the problem is expressed in terms of two Wiener–Hopf equations with the help of Fourier transform and the boundary conditions in the transformed domain. The consideration of the intermediate range approximation in terms of source position renders integrals that are generally elusive to tackle because of the presence of branch points. These integrals are evaluated by invoking a modified stationary phase method, thereby a field valid over an intermediate range is calculated. The graphical analysis is preformed for various parameters of physical interest for both intermediate and far-field solutions.

Journal

Journal of Modern OpticsTaylor & Francis

Published: Sep 20, 2014

Keywords: diffraction; impedance boundary condition; Wiener–Hopf; intermediate range solution

There are no references for this article.