Abstract
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 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
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