The problem of diffraction of optical beams with arbitrary profiles by a periodically modulated layer is studied for incidence at normal or at the first Bragg angle. It is shown that the far-field patterns of the nth diffracted order of the transmitted and reflected waves are simply the algebraic multiplications of the angular spectral amplitude of the beam profile and the transmission and reflection coefficients for the nth-order diffracted plane wave. Numerical results are illustrated for six different beam profiles.
© 1980 Optical Society of America
R. S. Chu and J. A. Kong, "Diffraction of optical beams with arbitrary profiles by a periodically modulated layer," J. Opt. Soc. Am. 70, 1-6 (1980)