Abstract

The fundamental laws of wave propagation at an interface, the laws of reflection, refraction, and diffraction are arrived at from a consideration of wave scattering from an array of scattering centers. It is shown that the number, spacing, and dimension of the scattering centers decide whether the laws of reflection and refraction or the more comprehensive law of normal scattering is obeyed. An exact equation for the summation of the phases and amplitudes of scattered waves arriving at a point is developed. Scattered ray directions are arrived at from the analytical behavior of this equation, and the region of validity of the solutions is discussed. It is shown that the length of the array plays as important a role as the spacing of the scattering centers. The modulation of diffracted ray intensity with an increase in scattering center size is identified and investigated. An expression for far-field distance is arrived at based on numerical simulation and is valid for all scattered angles.

© 2006 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
General wave optics propagation scaling law

Sami A. Shakir, Thomas M. Dolash, Mark Spencer, Richard Berdine, Daniel S. Cargill, and Richard Carreras
J. Opt. Soc. Am. A 33(12) 2477-2484 (2016)

Exact solution to plane-wave scattering by an ideal "left-handed" wedge

Cesar Monzon, Donald W. Forester, Douglas Smith, and Peter Loschialpo
J. Opt. Soc. Am. A 23(2) 339-348 (2006)

Fast numerical method for electromagnetic scattering by rough layered interfaces: Propagation-inside-layer expansion method

Nicolas Déchamps, Nicole de Beaucoudrey, Christophe Bourlier, and Serge Toutain
J. Opt. Soc. Am. A 23(2) 359-369 (2006)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (9)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (16)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription