Title :
Gaussian beam summation analysis of half plane diffraction: A full 3D formulation
Author :
Katsav, M. ; Heyman, E.
Author_Institution :
Sch. of Electr. Eng., Tel Aviv Univ., Tel Aviv, Israel
Abstract :
A Gaussian beam summation (GBS) representation for a three-dimensional half-plane diffraction of a Gaussian beam (GB) that hits arbitrarily close to the edge is presented. The expansion involves an angular spectrum of GB¿s in the plane normal to the edge and a discrete phase-space decomposition along the edge. The field is thus described as a sum of GB¿s emerging from a discrete set of points along the edge, at a discrete set of directions in a polar coordinate system. Expressions for the excitation amplitudes of the diffracted beams are derived and validated numerically.
Keywords :
Gaussian channels; laser beams; light diffraction; Gaussian beam summation analysis; discrete phase-space decomposition; full 3D formulation; polar coordinate system; three-dimensional half-plane diffraction; Collimators; Diffraction; Gaussian processes; Genetic expression; Lattices; Scattering; Structural beams; Symmetric matrices; Gaussian beam summation method; beam-to-beam scattering matrix; edge-diffraction; uniform asymptotics;
Conference_Titel :
Electrical and Electronics Engineers in Israel, 2008. IEEEI 2008. IEEE 25th Convention of
Conference_Location :
Eilat
Print_ISBN :
978-1-4244-2481-8
Electronic_ISBN :
978-1-4244-2482-5
DOI :
10.1109/EEEI.2008.4736712
