title: Comparative study of the accuracy of the PSM and Kogelnik models of diffraction in reflection and transmission holographic gratings.
abstract: Calculated diffractive efficiencies in the visible spectral band from lossless planar holographic gratings are studied using the PSM and Kogelnik models of diffraction for the case of the σ-polarization. The results are numerically compared with rigorous coupled wave calculations over a wide parameter space covering both transmission and reflection geometries. For most reflection gratings, the PSM model is shown to consistently provide a marginally superior estimation of the diffractive efficiency. This is particularly evident in a clearly superior description of the diffractive sideband structure for most gratings, both in terms of angle and wavelength. For the transmission grating, the PSM model continues to provide a relatively good description of diffraction at low permittivity modulations and lower incidence angles with respect to the grating plane normal. However, overall Kogelnik's theory is shown to provide a somewhat superior estimation of diffractive efficiency and a clearly superior description of the diffractive side-band structure in the transmission case.
authors.forename: David
authors.initials: D
authors.lastname: Brotherton-Ratcliffe
authors.forename: Lishen
authors.initials: L
authors.lastname: Shi
authors.forename: Ardie
authors.initials: A
authors.lastname: Osanlou
authors.forename: Peter
authors.initials: P
authors.lastname: Excell
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D017076:Computer-Aided Design; D004867:Equipment Design; D019544:Equipment Failure Analysis; D006696:Holography / Q000295:instrumentation*; D008027:Light; D008962:Models, Theoretical; D010783:Photometry / Q000295:instrumentation*; D012031:Refractometry / Q000295:instrumentation*; D012542:Scattering, Radiation