OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 30, Iss. 4 — Apr. 1, 2013
  • pp: 596–603

Differential theory for anisotropic cylindrical objects with an arbitrary cross section

Philippe Boyer  »View Author Affiliations


JOSA A, Vol. 30, Issue 4, pp. 596-603 (2013)
http://dx.doi.org/10.1364/JOSAA.30.000596


View Full Text Article

Acrobat PDF (584 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We extend the differential theory to anisotropic cylindrical structures with an arbitrary cross section. Two cases have to be distinguished. When the anisotropic cylinders do not contain the origin, the scattering matrix of the device is calculated from the extended differential theory with the help of the scattering matrix propagation algorithm. The fields outside the cylinders are described by Fourier–Bessel expansions. When the origin is located in one cylinder, the fields inside the cylinder are expressed from a semi-analytical theory related to a homogeneous anisotropic medium. In this second case, the formalism of the scattering matrix propagation algorithm is not exactly the same and requires suitable change. The numerical results are in good agreement with the ones obtained for the diffraction by one circular cylinder. The theory is then applied on the diffraction by an elliptical cylinder.

© 2013 Optical Society of America

OCIS Codes
(050.1960) Diffraction and gratings : Diffraction theory
(060.2310) Fiber optics and optical communications : Fiber optics
(160.1190) Materials : Anisotropic optical materials

ToC Category:
Diffraction and Gratings

History
Original Manuscript: December 11, 2012
Revised Manuscript: February 4, 2013
Manuscript Accepted: February 5, 2013
Published: March 11, 2013

Citation
Philippe Boyer, "Differential theory for anisotropic cylindrical objects with an arbitrary cross section," J. Opt. Soc. Am. A 30, 596-603 (2013)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-30-4-596

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
Log in to access OSA Member Subscription

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
Log in to access OSA Member Subscription

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
Log in to access OSA Member Subscription

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited