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Circuit model for mode extraction in lossy/lossless photonic crystal waveguides

Habibi, N ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1364/JOSAB.29.000170
  3. Abstract:
  4. An approximate circuit model is proposed for mode extraction in two-dimensional photonic crystal waveguides. The dispersion equation governing the complex propagation constant of the photonic crystal waveguide is then related to the resonance condition in the proposed circuit model. In this fashion, a scalar complex transcendental equation is given for mode extraction. To avoid searching for the complex roots of the derived scalar dispersion equation, however, the real and imaginary parts of the sought-after propagation constant are extracted by using the physical resonance condition and its corresponding quality factor in the here-proposed circuit model, respectively. All the necessary conditions for the accuracy of the proposed circuit model are discussed, and some numerical examples are given. It is fortunate that the proposed model can be applied for accurate mode extraction in most of the applications. Both major polarizations are considered
  5. Keywords:
  6. Circuit theory ; Dispersion (waves) ; Laser optics ; Photonic crystals ; Two dimensional ; Waveguides ; Circuit models ; Complex roots ; Dispersion equations ; Imaginary parts ; Mode extraction ; Numerical example ; Photonic crystal waveguide ; Propagation constant ; Quality factors ; Resonance condition ; Transcendental equations ; Two-dimensional photonic crystals ; Optical waveguides
  7. Source: Journal of the Optical Society of America B: Optical Physics ; Volume 29, Issue 1 , 2012 , Pages 170-177 ; 07403224 (ISSN)
  8. URL: https://www.osapublishing.org/josab/abstract.cfm?uri=josab-29-1-170