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An efficient optimization problem for modal reflectivity at optical waveguide end-facet based on the formulation of characteristic green’s function technique

Torabi, A ; Sharif University of Technology | 2016

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  1. Type of Document: Article
  2. DOI: 10.1007/978-3-319-30137-2_7
  3. Publisher: Springer Science and Business Media, LLC , 2016
  4. Abstract:
  5. A novel method to compute guided mode reflectivity from optical waveguide end-facet is presented in this paper. First, rational function fitting method (RFFM) is applied in characteristic Green’s function (CGF) technique to find an approximate closed-form analytic expression for spatial Green’s function of abruptly truncated slab waveguide. Then, derived closed-form relation along with the exact results of spatial Green’s function, obtained by full wave solution, are incorporated in an efficient optimization problem. The fast Newton reflective method with trust region algorithm are utilized for optimized reflection coefficients of guided modes. The main advantage of the proposed CGF-RFFM method in comparison with the previous presented method based on CGF technique is its high accuracy and speed. Simple implementation of CGF-RFFM is also makes it superior to other approaches reported. Excellent agreements with rigorous are illustrated in several examples
  6. Keywords:
  7. Guided electromagnetic wave propagation ; Optical waveguides ; Optimization ; Photonics ; Reflection ; Waveguides ; Analytic expressions ; Closed-form relations ; Full wave solutions ; Function fitting ; Modal reflectivity ; Optimization problems ; Slab waveguides ; Trust region algorithms ; Rational functions
  8. Source: 4th International Conference on Photonics, Optics and Laser Technology, PHOTOPTICS 2015, 12 March 2015 through 14 March 2015 ; Volume 181 , 2016 , Pages 105-117 ; 09308989 (ISSN); 9783319301358 (ISBN)
  9. URL: http://link.springer.com/chapter/10.1007/978-3-319-30137-2_7