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Fraunhofer diffraction from a ring aperture with a spiral phase transmission function: numerical and analytical studies

Aubrecht I., Miler M., Pala J.

Optica Applicata

2003

Vol. 33, nr 2-3

225-235

Fraunhofer diffraction patterns from a spiral phase element with an annular aperture are investigated, on normal incidence of a plane monochromatic wave, depending on a spiral distribution of the phase of a wave at the output from the element. Results of extensive numerical calculations are presented and analytical formulas are derived for a very thin aperture. Basic behaviour of diffraction patterns depending on the spiral’s slope is predictable from the analytical approximation.