Abstract

The well known Hermite-Gaussian beams represent the leading, or paraxial, approximation to the high-frequency asymptotics of the field in an optical cavity. In calculating the correction to the paraxial approximation for the field inside of the cavity, it is necessary to take into account small deformations of the beam intensity profile after reflection from the parabolic mirror. These deformations reveal themselves in the higher terms of the high-frequency asymptotics. The leading asymptotic term obeys the well-known Fredholm homogeneous integral equation

© 1994 IEEE