Complex conical beam expansion for the analysis of beam waveguides

This paper discusses a novel method for computing propagation and reflection of beams in a beam waveguide by combining a new type of wave-objects with physical optics. The wave objects are generated starting from the electric field spectrum in the focal plane, by applying the Fourier series and the generalised pencil-of-function expansion. This transforms the radiation integral to a form which rigorously respects the wave equation and can be evaluated in analytical closed form. The wave objects are launched to the reflector and reflected to the subsequent focal plane via physical optics. By computing the Fourier spectrum in the new focal plane it is possible to re-expand the reflected field into a new set of wave-objects, which is the foundation of beam waveguide analysis.