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Complex-envelope alternating-direction-implicit FDTD method for simulating active photonic devices with

Gurpreet Singh1, Koustuban Ravi, Qian Wang

  • 1Data Storage Institute, Agency for Science, Technology and Research, 5 Engineering Drive 1, 117608, Singapore. Gurpreet_Singh@dsi.a‐star.edu.sg

Optics Letters
|June 29, 2012
PubMed
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A novel complex-envelope alternating-direction-implicit finite-difference time-domain (CE-ADI-FDTD) method accurately simulates active photonic devices. This efficient approach models light-matter interactions and active media, significantly reducing simulation time compared to explicit methods.

Area of Science:

  • Computational electromagnetics
  • Photonics and optoelectronics
  • Semiconductor device physics

Background:

  • Accurate simulation of active photonic devices is crucial for their design and optimization.
  • Existing methods often struggle to efficiently model the complex interplay between light and matter in these devices.
  • The development of robust numerical techniques is needed to capture carrier dynamics and electromagnetic field evolution self-consistently.

Purpose of the Study:

  • To introduce a novel complex-envelope alternating-direction-implicit finite-difference time-domain (CE-ADI-FDTD) method for simulating active photonic devices.
  • To accurately model light-matter interactions and the behavior of active media within photonic structures.
  • To enhance the computational efficiency of electromagnetic field evolution simulations.

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Main Methods:

  • Developed a CE-ADI-FDTD approach incorporating an efficient multilevel system of carrier rate equations for active media modeling.
  • Formulated a first-order differential system for CE fields within the active medium.
  • Employed an ADI splitting formula by decomposing the system matrix into time-dependent submatrices.

Main Results:

  • The proposed CE-ADI-FDTD method successfully models light-matter interactions and active media self-consistently.
  • Simulations of semiconductor microdisk lasers validated the accuracy and efficiency of the approach.
  • The CE-ADI-FDTD method demonstrated a significant speedup, requiring only 22% of the time compared to explicit FDTD methods.

Conclusions:

  • The novel CE-ADI-FDTD method provides an efficient and accurate tool for simulating active photonic devices.
  • This approach is suitable for modeling semiconductor and solid-state media due to its accurate representation of carrier distributions.
  • The developed method offers a substantial computational advantage for researchers and engineers in photonics.