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Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 45, Iss. 15 — May. 20, 2006
  • pp: 3420–3424

Optimization of sawtooth surface-relief gratings: effects of substrate refractive index and polarization

Shun-Der Wu, Thomas K. Gaylord, and Elias N. Glytsis  »View Author Affiliations

Applied Optics, Vol. 45, Issue 15, pp. 3420-3424 (2006)

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The effect of the refractive index of the substrate together with the incident polarization on the optimization of sawtooth surface-relief gratings (SRGs) is investigated. The global optimum diffraction efficiencies of the 1 st forward-diffracted order of sawtooth SRGs are 63 .3% occurring at n 2 = 1.47 for TE polarization and 73.8 % occurring at n 2 = 2.88 for TM polarization. Incident TE polarization has higher optimum diffraction efficiency than TM polarization for all n 2 < 1 . 8 5 . In contrast, TM polarization has higher optimum diffraction efficiency than TE polarization for all n 2 > 1.85 . A polymer ( n 2 = 1.5 ) optimum sawtooth SRG exhibits 62.6 % efficiency for TE polarization. A silicon ( n 2 = 3.475 ) optimum sawtooth SRG exhibits 68.6 % efficiency for TM polarization. These sawtooth SRGs are compared to right-angle-face trapezoidal SRGs. It is found that the optimum profiles of right-angle-face trapezoidal SRGs have only very slightly increased efficiencies over sawtooth SRGs ( 0.04 % for TE and 0.55 % for TM).

© 2006 Optical Society of America

OCIS Codes
(050.0050) Diffraction and gratings : Diffraction and gratings
(050.1950) Diffraction and gratings : Diffraction gratings
(230.1950) Optical devices : Diffraction gratings
(260.5430) Physical optics : Polarization

ToC Category:
Diffraction and Gratings

Original Manuscript: July 6, 2005
Revised Manuscript: December 22, 2005
Manuscript Accepted: December 30, 2005

Shun-Der Wu, Thomas K. Gaylord, and Elias N. Glytsis, "Optimization of sawtooth surface-relief gratings: effects of substrate refractive index and polarization," Appl. Opt. 45, 3420-3424 (2006)

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