A spherical Hankel function series solution for the vector components of a general flattened Gaussian laser field is derived, based on the angular spectrum of plane waves. This perturbative series is valid for spot sizes greater than ten wavelengths, creating a complete vector solution for a general flattened Gaussian laser profile for all focusing conditions when coupled to the model developed in Part I of this investigation [ J. Opt. Soc. Am. B 23, 2157 (2006) ]. The focusing and propagation properties of these fields are then explored numerically. Finally, the exact solution is compared to the perturbative Hermite–Gaussian (0,0) laser mode by comparing the focal plane boundary conditions imposed in each and is found to be a separate and distinct solution under tight focusing conditions.
© 2006 Optical Society of America
Original Manuscript: March 14, 2006
Manuscript Accepted: June 2, 2006
Scott M. Sepke and Donald P. Umstadter, "Analytical solutions for the electromagnetic fields of flattened and annular Gaussian laser modes. II. Large F-number laser focusing," J. Opt. Soc. Am. B 23, 2166-2173 (2006)