Light diffraction by a three-dimensional object: differential theory.
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.
Stout
Brian
B
Institut Fresnel, Unité Mixte de Recherche 6133, Case 161 Faculté des Sciences et Techniques, Centre de Saint Jérôme, 13397 Marseille, France. brian.stout@fresnel.fr
Nevière
Michel
M
Popov
Evgeny
E