Periodic Green´s functions for linear arrays in free-space and near layered media

Author

Van Orden, Derek ; Lomakin, Vitaliy

Author_Institution

Dept. of Electr. & Comput. Eng., Univ. of California, La Jolla, CA, USA

fYear

2009

fDate

2-4 June 2009

Firstpage

1

Lastpage

2

Abstract

In this paper, methods for computing PGFs for 3D problems comprising an infinitely periodic 1D (linear) array with a linear phase shift between array elements are described. The array can be free-standing or reside near a layered medium background. The method involves the transverse (to the periodicity axis) spectral expansions of the longitudinal (along the axis) spectral 1D PGF. These representations lead to exponential computational convergence for a wide range of periodicities and for any complex phase shifts between array elements.

Keywords

Green´s function methods; inhomogeneous media; optical arrays; optical elements; dyadic periodic Green´s function; exponential computational convergence; infinitely periodic 1D linear array elements; linear phase shift; near layered media; periodicity axis; scalar periodic Green´s function; spectral 1D PGF; spectral expansions; Arrayed waveguide gratings; Convergence; Electromagnetic scattering; Green´s function methods; Neodymium; Nonhomogeneous media; Optical computing; Particle scattering; Periodic structures; Phased arrays;

fLanguage

English

Publisher

ieee

Conference_Titel

Lasers and Electro-Optics, 2009 and 2009 Conference on Quantum electronics and Laser Science Conference. CLEO/QELS 2009. Conference on

Conference_Location

Baltimore, MD

Print_ISBN

978-1-55752-869-8

Electronic_ISBN

978-1-55752-869-8

Type

conf

Filename

5224522