GENERAL AND PHYSICAL OPTICS

Optical Review

, Volume 2, Issue 2, pp 92-99

First online:

Ability and Limitation of Effective Medium Theory for Subwavelength Gratings

  • Hisao KikutaAffiliated withDepartment of Mechanical System Engineering, College of Engineering, University of Osaka Prefecture
  • , Hideo YoshidaAffiliated withDepartment of Mechanical System Engineering, College of Engineering, University of Osaka Prefecture
  • , Koichi IwataAffiliated withDepartment of Mechanical System Engineering, College of Engineering, University of Osaka Prefecture

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Abstract

In the recent researches of subwavelength relief gratings, the effective refractive indices are used for calculating the coefficients of reflection and transmission of light waves. The effective refractive indices are given by the effective medium theory for light waves propagating in a bulky stratified medium. This paper describes the ability and limitation of the theory applied to estimate the performance of such subwavelength gratings. The limitation is revealed by numerical calculations using a rigorous electromagnetic grating theory and the effective medium theory. As a result, an understanding of the wave behavior in the subwavelength grating has been acquired, which explains the limitation of the effective medium theory.

Key words

artificial refractive index effective medium theory effective refractive index diffraction grating subwavelength grating