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Related Experiment Video

Updated: May 13, 2026

Fabrication Procedures and Birefringence Measurements for Designing Magnetically Responsive Lanthanide Ion Chelating Phospholipid Assemblies
09:38

Fabrication Procedures and Birefringence Measurements for Designing Magnetically Responsive Lanthanide Ion Chelating Phospholipid Assemblies

Published on: January 3, 2018

Unconditionally stable finite-difference time-domain methods for modeling the Sagnac effect.

Roman Novitski1, Jacob Scheuer, Ben Z Steinberg

  • 1School of Electrical Engineering, Tel-Aviv University, Ramat Aviv, Tel-Aviv 69978, Israel.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 19, 2013
PubMed
Summary
This summary is machine-generated.

We developed two stable finite-difference time-domain (FDTD) methods to model the Sagnac effect in optical microsensors. These rotating Crank-Nicolson (RCN) methods accurately simulate rotation effects in microresonators and Coupled Resonator Optical Waveguides (CROWs).

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09:38

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Published on: January 3, 2018

Area of Science:

  • Optics and Photonics
  • Computational Physics
  • Sensor Technology

Background:

  • The Sagnac effect is crucial for optical navigation and sensing.
  • Modeling the Sagnac effect in rotating micro-optical systems presents numerical challenges.
  • Existing methods may lack stability or accuracy for complex geometries like microresonators.

Purpose of the Study:

  • To introduce two novel, unconditionally stable finite-difference time-domain (FDTD) methods for simulating the Sagnac effect.
  • To enhance the accuracy and stability of modeling optical phenomena in rotating reference frames.
  • To investigate the impact of rotation on microresonators and Coupled Resonator Optical Waveguides (CROWs).

Main Methods:

  • Development of two implicit Crank-Nicolson schemes adapted for rotating frames: Rotating Crank-Nicolson (RCN-2) and RCN-4.
  • RCN-2 offers second-order spatial accuracy, while RCN-4 provides fourth-order spatial accuracy.
  • Both RCN methods achieve second-order temporal accuracy, ensuring stability and precision.

Main Results:

  • The RCN-4 scheme demonstrates superior accuracy and improved dispersion isotropy compared to RCN-2.
  • Numerical results align well with classical Sagnac resonant frequency splitting and perturbation theory for rotating microcavities.
  • Simulations of a Coupled Resonator Optical Waveguide (CROW) show the formation of a rotation-induced gap in the transfer function.

Conclusions:

  • The developed RCN methods provide a robust and accurate tool for simulating the Sagnac effect in rotating optical microsensors.
  • These methods are effective for analyzing complex structures like CROWs and understanding rotation-induced optical phenomena.
  • The findings pave the way for improved designs of optical sensors and devices operating in rotational environments.