Improved rigorous coupled-wave analysis for polar magnetic gratings

The rigorous coupled-wave analysis method with Airy-like Internal-Reflection Series for the polar gyrotropic grating is improved with the Fourier factorization rule. In the process of derivation, Maxwell's equation is reformulated in order to avoid type 3 product and, either Laurent's rule or the inverse rule is used for the product of two Fourier series with discontinuities. The number of Fourier coefficients or the size of the coefficient matrix required for the proper convergence is reduced by more than 50% compared to our previous works for the calculation of the diffracted Kerr rotation from the polar magnetic gratings.

[1]  A. Fedyanin,et al.  Anomalous Faraday effect of a system with extraordinary optical transmittance. , 2007, Optics express.

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

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

[4]  Tomuo Yamaguchi,et al.  Optics of anisotropic nanostructures , 2006 .

[5]  Sadao Adachi,et al.  a-Silicon (a-Si) , 1999 .

[6]  Min Hyung Cho,et al.  Rigorous approach on diffracted magneto-optical effects from polar and longitudinal gyrotropic gratings. , 2008, Optics express.

[7]  L L Doskolovich,et al.  Extraordinary magneto-optical effects and transmission through metal-dielectric plasmonic systems. , 2007, Physical review letters.

[8]  Robert M. Gray,et al.  Toeplitz and Circulant Matrices: A Review , 2005, Found. Trends Commun. Inf. Theory.

[9]  Leonid L. Doskolovich,et al.  Magnetooptical effects in the metal-dielectric gratings , 2007 .

[10]  Andrew G. Glen,et al.  APPL , 2001 .

[11]  Byoung S. Ham,et al.  Investigation of extraordinary optical transmission and Faraday effect in one-dimensional metallic-magnetic gratings. , 2008, Optics express.

[12]  Sumanth Kaushik,et al.  Vector Fresnel equations and Airy formula for one-dimensional multilayer and surface-relief gratings , 1997 .

[13]  H. R. Philipp,et al.  Silicon Dioxide (SiO2) (Glass) , 1997 .

[14]  E. Palik.  Handbook of Optical Constants of Solids , 1997 .

[15]  Jaromír Pištora,et al.  Convergence properties of critical dimension measurements by spectroscopic ellipsometry on gratings made of various materials , 2006 .

[16]  Robert C. Wolpert,et al.  A Review of the , 1985 .

[17]  A. Zvezdin,et al.  Modern magnetooptics and magnetooptical materials , 1997 .

[18]  Kazuhiro Nishimura,et al.  Theoretical analysis of optical and magneto-optical properties of one-dimensional magnetophotonic crystals , 2003 .

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

[20]  Jaromír Pištora,et al.  Magneto-optical spectroscopic scatterometry for analyzing patterned magnetic nanostructures , 2006 .

[21]  José Miguel García-Martín,et al.  Localized surface plasmon resonance effects on the magneto-optical activity of continuous Au/Co/Au trilayers. , 2008, Optics express.

[22]  Stefan Visnovsky,et al.  Evidence of native oxides on the capping and substrate of Permalloy gratings by magneto-optical spectroscopy in the zeroth- and first-diffraction orders , 2005 .

[23]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

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