For a linearly polarized three-dimensional Gaussian beam in air that is normally incident upon a plane interface with a uniaxial crystal with optic axis in an arbitrary direction, we present integral representations for the transmitted field suitable for asymptotic analysis and efficient numerical evaluation and derive analytical expressions for transmitted nontruncated Gaussian beams for the cases in which the incident beam is polarized parallel to the plane containing the optic axis and the interface normal and transverse to it. The general solution for an arbitrary polarization state of an incident Gaussian beam follows by superposition of these two solutions.
© 2012 Optical Society of America
Original Manuscript: November 4, 2011
Manuscript Accepted: December 15, 2011
Published: March 15, 2012
Jakob J. Stamnes and Velauthapillai Dhayalan, "Double refraction of a Gaussian beam into a uniaxial crystal," J. Opt. Soc. Am. A 29, 486-497 (2012)