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New basis functions for wave equation

Khorasani, S ; Sharif University of Technology

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  1. Type of Document: Article
  2. Publisher: Sharif University of Technology
  3. Abstract:
  4. The Differential Transfer Matrix Method is extended to the complex plane, which allows dealing with singularities at turning points. The results for real-valued systems are simplified and a pair of basis functions are found. These bases are a bit less accurate than WKB solutions but much easier to work with because of their algebraic form. Furthermore, these bases exactly satisfy the initial conditions and may go over the turning points without the divergent behavior of WKB solutions. The findings of this paper allow explicit evaluation of eigenvalues of confined modes with high precision, as demonstrated by few examples
  5. Keywords:
  6. Inhomogeneous optical media ; Eigenvalues and eigenfunctions ; Functions ; Physical optics ; Quantum optics ; Basis functions ; Complex planes ; Confined modes ; Differential transfer matrix methods ; Divergent behaviors ; Electromagnetic optics ; Initial conditions ; Optical media ; Transfer matrix method
  7. Source: Scientia Iranica ; Volume 23, Issue 6 , 2016 , Pages 2928-2933 ; 10263098 (ISSN)
  8. URL: http://scientiairanica.sharif.edu/article_2351.html