Vectorial nonparaxial propagation equation in the presence of a tensorial refractive-index perturbation
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.
Additional Information
© Copyright 2000 Optical Society of America. Received August 5, 1999; revised manuscript received December 21, 1999.Files
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Additional details
- Eprint ID
- 7510
- Resolver ID
- CaltechAUTHORS:CIAjosab00
- Created
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2007-02-28Created from EPrint's datestamp field
- Updated
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2019-10-02Created from EPrint's last_modified field