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Optics Letters

Optics Letters


  • Editor: Alan E. Willner
  • Vol. 35, Iss. 2 — Jan. 15, 2010
  • pp: 115–117

Transmission-line model to design matching stage for light coupling into two-dimensional photonic crystals

Mehdi Miri, Amin Khavasi, Khashayar Mehrany, and Bizhan Rashidian  »View Author Affiliations

Optics Letters, Vol. 35, Issue 2, pp. 115-117 (2010)

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The transmission-line analogy of the planar electromagnetic reflection problem is exploited to obtain a transmission-line model that can be used to design effective, robust, and wideband interference-based matching stages. The proposed model based on a new definition for a scalar impedance is obtained by using the reflection coefficient of the zeroth-order diffracted plane wave outside the photonic crystal. It is shown to be accurate for in-band applications, where the normalized frequency is low enough to ensure that the zeroth-order diffracted plane wave is the most important factor in determining the overall reflection. The frequency limitation of employing the proposed approach is explored, highly dispersive photonic crystals are considered, and wideband matching stages based on binomial impedance transformers are designed to work at the first two photonic bands.

© 2010 Optical Society of America

OCIS Codes
(050.0050) Diffraction and gratings : Diffraction and gratings
(130.0130) Integrated optics : Integrated optics
(260.0260) Physical optics : Physical optics
(050.5298) Diffraction and gratings : Photonic crystals

ToC Category:
Integrated Optics

Original Manuscript: September 30, 2009
Revised Manuscript: December 10, 2009
Manuscript Accepted: December 10, 2009
Published: January 11, 2010

Mehdi Miri, Amin Khavasi, Khashayar Mehrany, and Bizhan Rashidian, "Transmission-line model to design matching stage for light coupling into two-dimensional photonic crystals," Opt. Lett. 35, 115-117 (2010)

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