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Vectorial nonparaxial propagation equation in the presence of a tensorial refractive-index perturbation

Ciattoni, Alessandro and Di Porto, Paolo and Crosignani, Bruno and Yariv, Amnon (2000) Vectorial nonparaxial propagation equation in the presence of a tensorial refractive-index perturbation. Journal of the Optical Society of America B, 17 (5). pp. 809-819. ISSN 0740-3224. http://resolver.caltech.edu/CaltechAUTHORS:CIAjosab00

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Abstract

The standard scalar paraxial parabolic (FockLeontovich) propagation equation is generalized to include all-order nonparaxial corrections in the significant case of a tensorial refractive-index perturbation on a homogeneous isotropic background. In the resultant equation, each higher-order nonparaxial term (associated with diffraction in homogeneous space and scaling as the ratio between beam waist and diffraction length) possesses a counterpart (associated with the refractive-index perturbation) that allows one to preserve the vectorial nature of the problem (∇∇· E ≠ 0). The tensorial character of the refractive-index variation is shown to play a particularly relevant role whenever the tensor elements δnxz and δnyz (z is the propagation direction) are not negligible. For this case, an application to elasto-optically induced optical activity and to nonlinear propagation in the presence of the optical Kerr effect is presented.


Item Type:Article
Additional Information:© Copyright 2000 Optical Society of America. Received August 5, 1999; revised manuscript received December 21, 1999.
Record Number:CaltechAUTHORS:CIAjosab00
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:CIAjosab00
Alternative URL:http://www.opticsinfobase.org/abstract.cfm?URI=josab-17-5-809
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:7510
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:28 Feb 2007
Last Modified:29 Aug 2014 17:13

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