An angular spectrum representation in three dimensions is used to develop three-dimensional Fourier forms of the first and second Rayleigh–Sommerfeld diffraction formulae and the Kirchhoff diffraction formula. For forward-propagating waves, these reduce to three-dimensional Fourier representations for diffraction in the forward half-space.
© 2013 Optical Society of America
Diffraction and Gratings
Original Manuscript: March 12, 2013
Revised Manuscript: April 28, 2013
Manuscript Accepted: April 28, 2013
Published: May 16, 2013
C. J. R. Sheppard, J. Lin, and S. S. Kou, "Rayleigh–Sommerfeld diffraction formula in k space," J. Opt. Soc. Am. A 30, 1180-1183 (2013)