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Determination of the Excitation and Coupling Rates Between Light Emitters and Surface Plasmon Polaritons
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Published on: July 21, 2018

Purcell effect in nonlinear photonic structures: a coupled mode theory analysis.

Rafif E Hamam1, Mihai Ibanescu, Evan J Reed

  • 1Center for Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA. rafif@mit.edu

Optics Express
|August 20, 2008
PubMed
Summary

We developed a coupled mode theory (CMT) model for polarization sources in photonic structures. This model efficiently predicts terahertz radiation and nonlinear effects, offering an alternative to complex numerical methods.

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Area of Science:

  • Photonics and optical engineering
  • Theoretical physics
  • Computational electromagnetics

Background:

  • Polarization sources are crucial in photonic devices.
  • Modeling their behavior in complex structures is challenging.
  • Existing numerical methods like FDTD are computationally intensive.

Purpose of the Study:

  • To develop an analytical model for polarization sources in general photonic structures.
  • To investigate criteria for enhancing nonlinear effects and terahertz radiation generation.
  • To provide a computationally efficient alternative to numerical methods.

Main Methods:

  • Development of a coupled mode theory (CMT) model.
  • Derivation of an analytical expression for the generated electric field.
  • Inclusion of loss, gain, and nonlinearities within the CMT framework.

Main Results:

  • The CMT model accurately describes polarization source behavior.
  • Analytical criteria for enhanced nonlinear effects and terahertz generation were identified.
  • Model predictions show excellent agreement with finite-difference time-domain (FDTD) results.

Conclusions:

  • The developed CMT model offers an efficient and accurate approach for analyzing polarization sources.
  • This method can serve as a viable substitute for FDTD in specific scenarios.
  • The findings facilitate the design of advanced photonic devices for nonlinear optics and terahertz applications.