Iterative transform algorithm for the computation of optimal beams.
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 eigen-value, 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.
Schulz
Timothy J
TJ
Department of Electrical and Computer Engineering, Michigan Technological University, Houghton, Michigan 49931, USA. schulz@mtu.edu