Improvement of Mishchenko's T-matrix code for absorbing particles.

Area of Science:

• Computational physics
• Electromagnetism
• Materials science

Background:

• The T-matrix method is a state-of-the-art approach for scattering theories.
• Mishchenko's FORTRAN 77 (F77) code is a widely used implementation.
• Current limitations exist for strongly absorbing and large nonabsorbing particles.

Purpose of the Study:

• To expand the applicability of Mishchenko's F77 code.
• To improve convergence for scattering calculations.
• To enable applications in nanoplasmonics and nanophotonics.

Main Methods:

• Utilizing Gaussian elimination with backsubstitution for matrix inversion.
• Augmenting Mishchenko's F77 code with the Gaussian elimination technique.

Main Results:

• Successfully extended the domain of applicability of Mishchenko's F77 code.
• Achieved convergence for strongly absorbing particles where the original code failed.
• Enabled convergence for large nonabsorbing particles where the non-NAG option diverged.

Conclusions:

• Gaussian elimination with backsubstitution is a valuable enhancement for T-matrix scattering calculations.
• The improved code is crucial for nanoplasmonic and nanophotonic applications.
• The enhanced code is available for further research and application.