Light diffraction by a three-dimensional object: differential theory
JOSA A, Vol. 22, Issue 11, pp. 2385-2404 (2005)
http://dx.doi.org/10.1364/JOSAA.22.002385
Acrobat PDF (260 KB)
Abstract
The differential theory of diffraction of light by an arbitrary object described in spherical coordinates is developed. Expanding the fields on the basis of vector spherical harmonics, we reduce the Maxwell equations to an infinite first-order differential set. In view of the truncation required for numerical integration, correct factorization rules are derived to express the components of D in terms of the components of E, a process that extends the fast Fourier factorization to the basis of vector spherical harmonics. Numerical overflows and instabilities are avoided through the use of the S-matrix propagation algorithm for carrying out the numerical integration. The method can analyze any shape and/or material, dielectric or conducting. It is particularly simple when applied to rotationally symmetric objects.
© 2005 Optical Society of America
OCIS Codes
(000.3860) General : Mathematical methods in physics
(000.4430) General : Numerical approximation and analysis
(050.1940) Diffraction and gratings : Diffraction
(290.5850) Scattering : Scattering, particles
ToC Category:
Diffraction and Gratings
Citation
Brian Stout, Michel Nevière, and Evgeny Popov, "Light diffraction by a three-dimensional object: differential theory," J. Opt. Soc. Am. A 22, 2385-2404 (2005)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-22-11-2385
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
Related Journal Articles 
- Factorization of products of discontinuous functions applied to Fourier-Bessel basis (JOSAA)
- Mie scattering by an anisotropic object. Part I. Homogeneous sphere (JOSAA)
- Mie scattering by an anisotropic object. Part II. Arbitrary-shaped object: differential theory (JOSAA)
- T matrix of the homogeneous anisotropic sphere: applications to orientation-averaged resonant scattering (JOSAA)
- Discontinuous Galerkin time-domain computations of metallic nanostructures (OE)
Related Conference Papers
- Topological decomposition of composite quantum state spaces
- Topological decomposition of composite quantum state spaces
- Noisy Grovers searching algorithm
- Noisy Grovers searching algorithm
- Information gain and entropy change in generalized quantum measurements
- Information gain and entropy change in generalized quantum measurements
- Additivity for some product channels
- Additivity for some product channels
- Optimization of Photonic Crystal 60 degree Waveguide Bends in the Slow Light Regime for Broadband Transmission
« Previous Article | Next Article »
OSA is a member of 