The higher-order correction terms of the electric field vector of a Gaussian beam are derived explicitly from the magnetic vector potential that is assumed to be Gaussian and linearly polarized at the z=0 plane. The correction terms are proved to satisfy exactly Lax’s recurrence equations [Phys. Rev. A 11, 1365 (1975)]. The electric field vector with correction terms of orders up to 3 is compared with the exact electric field vector of an integral form that is also derived from the magnetic vector potential.
© 1999 Optical Society of America
Hyo-Chang Kim and Yeon H. Lee, "Higher-order corrections to the electric field vector of a Gaussian beam," J. Opt. Soc. Am. A 16, 2232-2238 (1999)