Title :
On the validity of Rayleigh-Sommerfeld propagation formulas
Author_Institution :
Kharkov Nat. Univ., Ukraine
Abstract :
Results of simulation by first Rayleigh-Sommerfeld integral formula (RS1),second Rayleigh-Sommerfeld integral formula (RS2) and Helmholtz-Kirchoff integral formula (HK) in studying beam propagation are compared by known rigorous solutions according the Mie theory in spherical coordinates and corresponding more simple expansions in cylindrical 2D-geometry. For simplicity, the monochromatic field propagation in cylindrical coordinates when the beam propagates along x-axis and is homogeneous to z is used. This model well approximates radiation of a most part of diode lasers.
Keywords :
laser beams; light diffraction; light propagation; light scattering; Helmholtz-Kirchoff integral formula; Mie theory; beam propagation; first Rayleigh-Sommerfeld integral formula; second Rayleigh-Sommerfeld integral formula; Boundary conditions; Computer simulation; Diode lasers; Fourier transforms; Green´s function methods; Integral equations; Laser beams; Optical propagation; Partial differential equations; Testing;
Conference_Titel :
Laser and Fiber-Optical Networks Modeling, 2004. Proceedings of LFNM 2004. 6th International Conference on
Print_ISBN :
0-7803-8429-6
DOI :
10.1109/LFNM.2004.1382418
