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 <i>n</i>th 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 <i>n</i>th-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)