Analysis of waveguide gratings: application of Rouard's method

This paper describes the adaptation of Rouard’s method, a familiar computational technique used in thin-film coating design, to the analysis of waveguide diffraction gratings. The approach can be used to generate the spectral and the angular characteristics of arbitrary straight-line gratings (periodic or nonperiodic), is easy to implement on a computer, and provides an intuitively appealing picture of the operation of such gratings. The application of the thin-film method is extended to periodic gratings as well as to gratings having either a linear or a quadratic chirp in period. Specific examples are used to compare the results of the thin-film computational method with those predicted by previous authors.

[1]  A. Yariv.  Coupled-mode theory for guided-wave optics , 1973 .

[2]  A. Yariv,et al.  Theory of chirped gratings in broad band filters , 1977 .

[3]  Donald R. Scifres,et al.  Coupling coefficients for distributed feedback single- and double-heterostructure diode lasers , 1975 .

[4]  J. Marcou,et al.  Polarisation conversion by Bragg deflection an isotropic planar integrated optics waveguides. Part II. Experimental study , 1980 .

[5]  J. Marcou,et al.  Polarization conversion by Bragg deflection in isotropic planar integrated optics waveguides Part I. Theoretical study , 1980 .

[6]  Donald R. Scifres,et al.  TM-mode coupling coefficients in guided-wave distributed feedback lasers , 1976 .

[7]  Charles V. Shank,et al.  Grating filters for thin‐film optical waveguides , 1974 .

[8]  Y. Yamamoto,et al.  Improved coupled mode analysis of corrugated waveguides and lasers - II: TM mode , 1978, IEEE Journal of Quantum Electronics.

[9]  D G Hall,et al.  Comparison of two approaches to the waveguide scattering problem: TM polarization. , 1984, Applied optics.

[10]  T Fukuzawa,et al.  Mode coupling in thin-film chirped gratings. , 1979, Optics letters.

[11]  Abraham Katzir,et al.  Broad‐band grating filters for thin‐film optical waveguides , 1977 .

[12]  J. J. Burke,et al.  Scattering of guided waves by surface periodic gratings for arbitrary angles of incidence: perturbation field theory and implications to normal-mode analysis , 1981 .

[13]  TE-TE mode coupling at oblique incidence in a periodic dielectric waveguide , 1981 .

[14]  Abraham Katzir,et al.  Chirped‐grating demultiplexers in dielectric waveguides , 1977 .

[15]  H. Tuan,et al.  Reflection and scattering by a single groove in integrated optics , 1974 .

[16]  S. Saito,et al.  Mode conversion and optical filtering of obliquely incident waves in corrugated waveguide filters , 1979 .

[17]  A. Vašíček.  The reflection of light from glass with double and multiple films. , 1947, Journal of the Optical Society of America.

[18]  H. Kogelnik,et al.  Filter response of nonuniform almost-periodic structures , 1976, The Bell System Technical Journal.

[19]  A. W. Crook,et al.  The reflection and transmission of light by any system of parallel isotropic films. , 1948, Journal of the Optical Society of America.

[20]  P. Lagasse,et al.  Coupled wave analysis of obliquely incident waves in thin film gratings. , 1981, Applied optics.