The problem of maximizing the integrated–weighted intensity of a transmitted beam in a receiver plane is equivalent to the problem of finding the largest eigenvalue’s eigenfunction for a particular Hermitian operator. Application of the power method for the determination of this eigenfunction, along with its associated eigenvalue, results in an iterative transform algorithm that can be applied to arbitrary apertures, nonnegative windows, and propagation media. The computational complexity of each iteration of this algorithm is equivalent to the numerical propagation of an arbitrary beam through the transmission medium.
© 2004 Optical Society of America
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(010.1300) Atmospheric and oceanic optics : Atmospheric propagation
(010.7060) Atmospheric and oceanic optics : Turbulence
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(140.3300) Lasers and laser optics : Laser beam shaping
Timothy J. Schulz, "Iterative transform algorithm for the computation of optimal beams," J. Opt. Soc. Am. A 21, 1970-1974 (2004)