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Exact solution of Maxwell's equations for optical interactions with a macroscopic random medium: addendum
Snow H Tseng1, Jethro H Greene, Allen Taflove
1Department of Electrical and Computer Engineering, Northwestern University, Evanston, Illinois 60208, USA. s-tseng@northwestern.edu
Optics Letters
|January 15, 2005
Summary
This study corrects numerical data for total scattering cross section (TSCS) by refining the pseudospectral time-domain (PSTD) algorithm. A smaller time step ensures accurate simulations in optics and electrodynamics.
Area of Science:
- Optics and Electrodynamics
- Computational Physics
Background:
- Previous research published in Opt. Lett. presented total scattering cross section (TSCS) data.
- The original data exhibited nonphysical results above 150 THz due to numerical inaccuracies.
Purpose of the Study:
- To provide corrected, converged numerical data for TSCS.
- To identify and rectify the cause of systematic errors in pseudospectral time-domain (PSTD) simulations.
- To inform future users of PSTD simulations about critical convergence parameters.
Main Methods:
- Revised numerical simulations using the pseudospectral time-domain (PSTD) algorithm.
- Implementation of a constrained time step, limited to 1/60th of the period at the maximum frequency (300 THz).
- Validation of corrected data against physical expectations.
Main Results:
- Converged numerical data for TSCS has been generated, replacing previously published figures.
- The systematic diminution of TSCS data above 150 THz has been eliminated.
- The necessity of a restricted time step for temporal convergence in PSTD simulations was confirmed.
Conclusions:
- The original scientific conclusions of the publication remain valid despite the data correction.
- Adherence to the specified time step limitation is crucial for accurate PSTD simulations in electrodynamics and optics.
- This addendum ensures the reliability of TSCS data for future research.