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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 22, Iss. 3 — Feb. 10, 2014
  • pp: 2725–2734

Modeling and optimization of photonic crystal devices based on transformation optics method

Yinghui Cao, Jun Xie, Yongmin Liu, and Zhenyu Liu  »View Author Affiliations


Optics Express, Vol. 22, Issue 3, pp. 2725-2734 (2014)
http://dx.doi.org/10.1364/OE.22.002725


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Abstract

In this paper, we propose a method for designing Photonic Crystal (PhC) devices that consist of dielectric rods with varying size. In the proposed design method, PhC devices are modeled with the Transformation Optics (TO) approach, and then they are optimized using the gradient method. By applying the TO technique, the original device model is transformed into an equivalent model that consists of uniform and fixed-sized rods, with parameterized permittivity and permeability distributions. Therefore, mesh refinement around small rods can be avoided, and PhC devices can be simulated more efficiently. In addition, gradient of the optimization object function is calculated with the Adjoint-Variable Method (AVM), which is very efficient for optimizing devices subject to multiple design variables. The proposed method opens up a new avenue to design and optimize a variety of photonic devices for optical computing and information processing.

© 2014 Optical Society of America

OCIS Codes
(130.3120) Integrated optics : Integrated optics devices
(350.4238) Other areas of optics : Nanophotonics and photonic crystals
(130.5296) Integrated optics : Photonic crystal waveguides

ToC Category:
Photonic Crystals

History
Original Manuscript: November 27, 2013
Revised Manuscript: January 6, 2014
Manuscript Accepted: January 9, 2014
Published: January 30, 2014

Citation
Yinghui Cao, Jun Xie, Yongmin Liu, and Zhenyu Liu, "Modeling and optimization of photonic crystal devices based on transformation optics method," Opt. Express 22, 2725-2734 (2014)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-22-3-2725


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