Journal of the European Optical Society - Rapid publications, Vol 3 (2008)

A general approach to the analysis and description of partially polarized light in rigorous grating theory

J. Tervo, I. A. Turunen, B. Bai


Simple and intuitive principle is put forward to analyze the grating diffraction problem and to describe the polarization properties of diffraction orders. The method is applicable for any state of polarization of the input plane wave, including partially polarized or unpolarized fields.

© The Authors. All rights reserved. [DOI: 10.2971/jeos.2008.08004]

Full Text: PDF

Citation Details

Cite this article


R. Petit (ed.), "Electromagnetic Theory of Gratings", Springer, Berlin, (1980).

E. Noponen and J. Turunen, "Eigenmode method for electromagnetic synthesis of diffractive elements with three-dimensional profiles" J. Opt. Soc. Am. A 11, 2494-2502 (1994).

S. Peng and G. M. Morris, "Efficient implementation of rigorous coupled-wave analysis for surface-relief gratings" J. Opt. Soc. Am. A 12, 1087-1096 (1995).

L. Li, "New formulation of the Fourier modal method for crossed surface-relief gratings" J. Opt. Soc. Am. A 14, 2758-2767 (1997).

G. Granet, "Analysis of diffraction by surface-relief crossed gratings with use of the Chandezon method: application to multilayer crossed gratings" J. Opt. Soc. Am. A 15, 1121-1131 (1998).

L. Li, "Fourier modal method for crossed anisotropic gratings with arbitrary permittivity and permeability tensors" J. Opt. A: Pure Appl. Op. 5, 345-355 (2003).

S. Siitonen, P. Laakkonen, P. Vahimaa, K. Jefimovs, M. Kuittinen, M. Parikka, K. Mönkkönen, and A. Orpana, "Coupling of light from an LED into a thin light guide by diffractive gratings" Appl. Optics 43, 5631-5635 (2004).

S. Siitonen, P. Laakkonen, P. Vahimaa, M. Kuittinen, and N. Tossavainen, "White LED light coupling into light guides with diffraction gratings" Appl. Optics 45, 2623-2630 (2006).

S. R. Park, O. J. Kwon, D. Shin, S.-H. Song, H.-S. Lee, and H. Y. Choi, "Grating micro-dot patterned light guide plates for LED backlights" Opt. Express 15, 2888-2899 (2007).

S. Siitonen, P. Laakkonen, J. Tervo, and M. Kuittinen, "A doublesided grating coupler for thin light guides" Opt. Express 15, 2008- 2018 (2007).

L. Li, "Formulation and comparison of two recursive matrix algorithms for modeling layered diffraction gratings" J. Opt. Soc. Am. A 13, 1024-1035 (1996).

M. Born and E. Wolf, Principles of Optics 7th edn. (Cambridge University Press, Cambridge, UK, 1999).

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, Cambridge, UK, 1995).

C. Brosseau, Fundamentals of Polarized Light: A Statictical Optics Approach (Wiley, New York, 1998).

J. Tervo, T. Setälä, and A. T. Friberg, "Theory of partially coherent electromagnetic fields in the space-frequency domain" J. Opt. Soc. Am. A 21, 2205-2215 (2004).

J. Tervo and J. Turunen, "Angular spectrum representation of partially coherent electromagnetic fields" Opt. Commun. 209, 7-16 (2002).

L. Mandel, "Intensity fluctuations of partially polarized light" Proc. Phys. Soc. 81, 1104-1114 (1963).

M. Honkanen, V. Kettunen, M. Kuittinen, J. Lautanen, J. Turunen, B. Schnabel, and F. Wyrowski, "Inverse metal-stripe polarizers" Appl. Phys. B - Lasers O. 68, 81-85 (1999).

A. Papakostas, A. Potts, D. M. Bagnall, S. L. Prosvirnin, H. J. Coles, and N. I. Zheludev, "Optical manifestations of planar chirality" Phys. Rev. Lett. 90, 107404 (2003).

W. Zhang, A. Potts, and D. M. Bagnall, "Giant optical activity in dielectric planar metamaterials with two-dimensional chirality" J. Opt. A: Pure Appl. Op. 8, 878-890 (2006).

M. Kuwata-Gonokami, N. Saito, Y. Ino, M. Kauranen, K. Jefimovs, T. Vallius, J. Turunen, and Y. Svirko, "Giant optical activity in quasi-two-dimensional planar nanostructures" Phys. Rev. Lett. 95, 227401 (2005).

B. Bai, Y. Svirko, J. Turunen, and T. Vallius, "Optical activity in planar chiral metamaterials: Theoretical study" Phys. Rev. A 76, 023811 (2007).

M. Decker, M. W. Klein, M. Wegener, and S. Linden, "Circular dichroism of planar chiral magnetic metamaterials" Opt. Lett. 32, 856-858 (2007).