A detailed analysis of the plane-wave diffraction by a finite-radius circular spiral phase plate (SPP) with integer and fractional topological charge and with variable transmission coefficients inside and outside of the plate edge is presented. We characterize the effect of varying the transmission coefficients and the parameters of the SPP on the propagated field. The vortex structure for integer and fractional phase step of the SPPs with and without phase apodization at the plate edge is also analyzed. The consideration of the interference between the light crossing the SPP and the light that undergoes no phase alteration at the aperture plane reveals new and interesting phenomena associated to this classical problem.
© 2009 Optical Society of America
Diffraction and Gratings
Original Manuscript: September 30, 2008
Revised Manuscript: January 30, 2008
Manuscript Accepted: February 4, 2009
Published: March 17, 2009
Hipolito Garcia-Gracia and Julio C. Gutiérrez-Vega, "Diffraction of plane waves by finite-radius spiral phase plates of integer and fractional topological charge," J. Opt. Soc. Am. A 26, 794-803 (2009)