The foci or branch points are found for a sinusoidal boundary. It is shown how they determine the range of validity of Rayleigh’s hypothesis for diffraction gratings.
© 2000 Optical Society of America
(050.0050) Diffraction and gratings : Diffraction and gratings
Original Manuscript: May 10, 1999
Revised Manuscript: November 9, 1999
Manuscript Accepted: November 23, 1999
Published: March 1, 2000
Joseph B. Keller, "Singularities and Rayleigh’s hypothesis for diffraction gratings," J. Opt. Soc. Am. A 17, 456-457 (2000)