Scalar coupled mode theory and variational analysis for planar SOI waveguide arrays: a detailed comparison

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• 作者：Niharika Kohli ; Sangeeta Srivastava ; Enakshi K. Sharma
• 关键词：Coupled ; mode theory ; Variational analysis ; Planar SOI waveguides ; Orthogonality
• 刊名：Optical and Quantum Electronics
• 出版年：2016
• 出版时间：April 2016
• 年：2016
• 卷：48
• 期：4
• 全文大小：1,569 KB
• 参考文献：Adams, M.J.: An Introduction to Optical Waveguides. Wiley, New York (1981)
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• 作者单位：Niharika Kohli (1)
  Sangeeta Srivastava (2)
  Enakshi K. Sharma (1)
  
  1. Department of Electronic Science, University of Delhi South Campus, Benito Juarez Road, New Delhi, 110021, India
  2. Rajdhani College, University of Delhi, New Delhi, 110015, India
  
• 刊物主题：Optics, Optoelectronics, Plasmonics and Optical Devices; Electrical Engineering; Characterization and Evaluation of Materials; Computer Communication Networks;
• 出版者：Springer US
• ISSN：1572-817X

文摘

We present a detailed analytical comparison of two extensively used theories to study the coupled optical waveguide arrays. Various formulations of the scalar Coupled Mode Theory and the Ritz Galerkin variational analysis have been applied to 1-D SOI coupled waveguide arrays to study the TE modes of the structure having identical and non-identical waveguides. Equivalence between scalar Ritz Galerkin variational formulation and the coupled mode theory without any approximations is shown. Comparisons of various modal characteristics obtained from the different coupled mode and variational formulations have been shown along with the exact results obtained from the solution of the scalar wave equation. For the 1-D SOI array under consideration the non-identical waveguide configuration leads to stronger coupling which results in non-orthogonal supermodes using two of the coupled mode formulations. The excellent agreement with exact results and the much lower computational time compared to numerical techniques, make these analytical methods a preferred choice for the simulation of coupled waveguide arrays.