Extending the size-parameter range for plane-wave light scattering from infinite homogeneous circular cylinders

Area of Science:

• Computational physics
• Electromagnetism
• Light scattering theory

Background:

• Calculating plane-wave light scattering from cylinders is crucial in various scientific fields.
• Existing Mie-type analysis methods have limitations in the size-parameter range they can handle.
• Convergence issues arise with traditional methods for large size parameters.

Purpose of the Study:

• To develop an algorithm that extends the size-parameter range for light scattering calculations from cylinders.
• To overcome the convergence limitations of existing Mie-type analysis methods.
• To provide a more robust computational tool for analyzing light-cylinder interactions.

Main Methods:

• Developed a novel algorithm based on Mie-type analysis.
• The algorithm calculates ratios of Bessel functions, avoiding direct computation of Bessel functions or their logarithmic derivatives.
• Validated the algorithm against existing methods where they converge.

Main Results:

• The developed algorithm successfully extends the possible size-parameter range for calculations.
• The new method demonstrates agreement with established techniques within their convergence limits.
• Crucially, the algorithm converges for large size parameters where other methods often fail.

Conclusions:

• A new computational algorithm offers improved capabilities for light scattering analysis.
• The Bessel function ratio approach enhances numerical stability and extends applicability to larger size parameters.
• This advancement provides a more reliable tool for studying light interaction with cylindrical objects.