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On-chip second-order spatial derivative of an optical beam by a periodic ridge

Mousavi Khaleghi, S. S ; Sharif University of Technology | 2020

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  1. Type of Document: Article
  2. DOI: 10.1364/OE.399484
  3. Publisher: OSA - The Optical Society , 2020
  4. Abstract:
  5. In this paper, a very simple periodic ridge on a symmetric slab waveguide is used for implementing an on-chip CMOS-compatible second-order spatial differentiator. The reflection and transmission coefficients of this structure show that the second derivative is performed in the transmission when the optical beam normally incidents on the periodic ridge. Simulations confirm that the reason behind the second-order spatial differentiation of the incoming beam is the excitation of the guided mode of the periodic ridge. A Maxwell’s equation solver that utilizes the finite element method (FEM) is used to simulate this structure, and an eigenmode solver is utilized for the validation. The results of both methods have a very good agreement with each other. © 2020 Optical Society of America under the terms of the OSA Open Access Publishing Agreement
  6. Keywords:
  7. Maxwell equations ; Transmissions ; Differentiators ; Eigenmode solvers ; Equation solvers ; Reflection and transmission coefficients ; Second derivatives ; Slab waveguides ; Spatial derivatives ; Spatial differentiation ; Light transmission ; Excitation ; Finite element analysis
  8. Source: Optics Express ; Volume 28, Issue 18 , 2020 , Pages 26481-26491
  9. URL: https://www.osapublishing.org/oe/fulltext.cfm?uri=oe-28-18-26481&id=437513