Formulation of rigorous coupled-wave theory for gratings in bianisotropic media.

A formulation of rigorous coupled-wave theory for diffraction gratings in bianisotropic media that exhibit linear birefringence and/or optical activity is presented. The symmetric constitutive relations for bianisotropic materials are adopted. All of the incident, exiting, and grating materials can be isotropic, uniaxial, or biaxial, with or without optical activity. The principal values of the electric permittivity tensor, the magnetic permeability tensor, and the gyrotropic tensor of the media can take arbitrary values, and the principal axes may be arbitrarily and independently oriented. Procedures for Fourier expansion of Maxwell's equations are described. Distinctive polarization coupling effects due to optical activity are observed in sample calculations.

[1]  Thomas K. Gaylord,et al.  Stable implementation of the rigorous coupled-wave analysis for surface-relief gratings: enhanced transmittance matrix approach , 1995 .

[2]  Karl Knop,et al.  Rigorous diffraction theory for transmission phase gratings with deep rectangular grooves , 1978 .

[3]  Vijay K. Varadan,et al.  Scattering by periodic achiral-chiral interfaces , 1989 .

[4]  R. Petit,et al.  Differential theory of gratings made of anisotropic materials. , 2002, Journal of the Optical Society of America. A, Optics, image science, and vision.

[5]  Lifeng Li,et al.  New formulation of the Fourier modal method for crossed surface-relief gratings , 1997 .

[6]  Vijay K. Varadan,et al.  Time-Harmonic Electromagnetic Fields in Chiral Media , 1989 .

[7]  J. R. Sambles,et al.  Scattering-matrix approach to multilayer diffraction , 1995 .

[8]  T. Gaylord,et al.  Formulation for stable and efficient implementation of the rigorous coupled-wave analysis of binary gratings , 1995 .

[9]  Brahim Guizal,et al.  Efficient implementation of the coupled-wave method for metallic lamellar gratings in TM polarization , 1996 .

[10]  T. Gaylord,et al.  Rigorous coupled-wave analysis of planar-grating diffraction , 1981 .

[11]  T. Gaylord,et al.  Rigorous three-dimensional coupled-wave diffraction analysis of single and cascaded anisotropic gratings , 1987 .

[12]  Jiro Yamakita,et al.  Analysis of dielectric lamellar gratings coated with anisotropic layers , 1990 .

[13]  A. Lakhtakia,et al.  Response of slanted chiral sculptured thin films to dipolar sources , 2004 .

[14]  P. Lalanne,et al.  Highly improved convergence of the coupled-wave method for TM polarization and conical mountings , 1996, Diffractive Optics and Micro-Optics.

[15]  Lifeng Li,et al.  Reformulation of the fourier modal method for surface-relief gratings made with anisotropic materials , 1998 .

[16]  A. A. Oliner,et al.  Wave Propagation in Sinusoidally Stratified Dielectric Media , 1964 .

[17]  Jiro Yamakita,et al.  Analysis of anisotropic dielectric gratings , 1983 .

[18]  John Roy Sambles,et al.  Scattering matrix method for propagation of radiation in stratified media: attenuated total reflection studies of liquid crystals , 1988 .

[19]  M. P. Silverman,et al.  Reflection and refraction at the surface of a chiral medium: comparison of gyrotropic constitutive relations invariant or noninvariant under a duality transformation , 1986 .

[20]  Stephen C. McClain,et al.  Polarization ray tracing in anisotropic optically active media , 1992, Optics & Photonics.

[21]  S. Mcclain,et al.  Polarization ray tracing in anisotropic optically active media. I. Algorithms , 1993 .

[22]  T. Gaylord,et al.  Diffraction analysis of dielectric surface-relief gratings , 1982 .

[23]  A. Lakhtakia,et al.  Lateral shifts of optical beams on reflection by slanted chiral sculptured thin films , 2004 .

[24]  Thomas K. Gaylord,et al.  Diffraction characteristics of planar absorption gratings , 1983 .

[25]  Lifeng Li,et al.  Use of Fourier series in the analysis of discontinuous periodic structures , 1996 .

[26]  Lloyd W. Hillman,et al.  Polarization ray tracing in anisotropic optically active media. II: Theory and physics , 1993 .

[27]  H. Booker.  Oblique Propagation of Electromagnetic Waves in a Slowly-Varying Non-Isotropic Medium , 1936 .

[28]  E. Condon,et al.  Theories of Optical Rotatory Power , 1937 .

[29]  Thomas K. Gaylord,et al.  Rigorous coupled-wave analysis of metallic surface-relief gratings , 1986 .

[30]  Lifeng Li.  Formulation and comparison of two recursive matrix algorithms for modeling layered diffraction gratings , 1996 .

[31]  Russell A. Chipman,et al.  Polarization ray tracing in birefringent media , 1991 .

[32]  Lifeng Li,et al.  Fourier modal method for crossed anisotropic gratings with arbitrary permittivity and permeability tensors , 2003 .

[33]  Thomas K. Gaylord,et al.  Rigorous coupled-wave analysis of grating diffraction— E-mode polarization and losses , 1983 .