Analysis of multiwave diffraction of thick gratings

A general coupled-wave formalism describing the multiwave diffraction properties of thick gratings is presented. The analysis is applicable to refractive-index-modulated and/or absorption-modulated gratings of any modulation strength. The gratings may be slanted, nonuniform with thickness, nonsinusoidal, and lossy. The incident wave (of arbitrary polarization) may be at any angle of incidence including all Bragg angles. Example multiwave diffraction efficiency characteristics are calculated for some representative grating thicknesses and refractive-index modulations for sinusoidal, square-wave, and sawtooth gratings.

[1]  Thomas K. Gaylord,et al.  Calculation of arbitrary-order diffraction efficiencies of thick gratings with arbitrary grating shape* , 1975 .

[2]  Y. Ninomiya.  Recording characteristics of volume holograms , 1973 .

[3]  Rod C. Alferness,et al.  Analysis of propagation at the second-order Bragg angle of a thick holographic grating* , 1976 .

[4]  N. Uchida.  Calculation of diffraction efficiency in hologram gratings attenuated along the direction perpendicular to the grating vector , 1973 .

[5]  Gary L. Fillmore,et al.  Sensitometric Characteristics of Hardened Dichromated-Gelatin Films , 1971 .

[6]  Thomas K. Gaylord,et al.  Use of dynamic theory to describe experimental results from volume holography , 1976 .

[7]  D. W. Vahey,et al.  A nonlinear coupled‐wave theory of holographic storage in ferroelectric materials , 1975 .

[8]  H. Kogelnik,et al.  Bragg Diffraction in Hologram Gratings with Multiple Internal Reflections , 1967 .

[9]  C. Burckhardt.  Diffraction of a Plane Wave at a Sinusoidally Stratified Dielectric Grating , 1966 .

[10]  R. Alferness,et al.  Analysis of optical propagation in thick holographic gratings , 1975 .

[11]  H. Kogelnik.  Coupled wave theory for thick hologram gratings , 1969 .

[12]  V. E. Wood,et al.  Holographic formation of gratings in optical waveguiding layers , 1975 .

[13]  B. D. Cook,et al.  Unified Approach to Ultrasonic Light Diffraction , 1967, IEEE Transactions on Sonics and Ultrasonics.

[14]  Dorian Kermisch,et al.  Nonuniform Sinusoidally Modulated Dielectric Gratings , 1969 .

[15]  T. Gaylord,et al.  Unified approach to the formation of phase holograms in ferroelectric crystals , 1975 .

[16]  L. Bergstein,et al.  Image Storage and Reconstruction in Volume Holography , 1967 .

[17]  J. Bjorkholm,et al.  Higher‐Order Distributed Feedback Oscillators , 1972 .

[18]  Theodor Tamir,et al.  Guided-Wave Theory of Light Diffraction by Acoustic Microwaves , 1969 .

[19]  B. L. Booth.  Photopolymer material for holography. , 1972, Applied optics.

[20]  F. Kaspar,et al.  Diffraction by thick, periodically stratified gratings with complex dielectric constant , 1973 .