This paper presents what is to the author’s knowledge a new theory for phase-only holograms. It explains many phenomena observed in the reconstruction of phase-only Fourier holograms and in particular the existence and nature of noise. Using this theory it was demonstrated that any reconstruction is the convolution of the target reconstruction with a two-dimensional set of impulses. The nature of this convolution function depends on the target reconstruction and in particular the spacing between the spots. In the simplest case of a two-spot generating hologram the convolution function was calculated analytically. The theory is also verified with examples from spot generating holograms, symbology, and image projection holograms.
© 2010 Optical Society of America
Original Manuscript: June 7, 2010
Revised Manuscript: August 23, 2010
Manuscript Accepted: September 27, 2010
Published: November 17, 2010
Andreas Georgiou, "Noise formation in Fourier phase-only holograms," J. Opt. Soc. Am. B 27, 2677-2686 (2010)