This work was supported in part by the National Science Foundation under grant ECS-9014481.
Journal of the Optical Society of America A: Optics, Image Science and Vision
Gaussian beams, Lasers, Laser beams -- Propagation
In analogy with Huygen’s wavelets a new method based on Gaussian beamlets is used to develop a conventional diffraction integral formalism for paraxial optical systems representable by complex 2×2 ABCD Gaussian beam matrices. This method, along with a new phase parameter transformation, is then used to produce a new diffraction integral for studying the propagation of light beams with arbitrary spatial profiles through much more general misaligned complex optical systems representable by 3×3 ABCDGH beam matrices.
Anthony A. Tovar and Lee W. Casperson, "Generalized beam matrices. III. Application to diffraction analysis," J. Opt. Soc. Am. A 13, 2239-2246 (1996).