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Controlled Synthesis and Fluorescence Tracking of Highly Uniform PolyN-isopropylacrylamide Microgels
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Mie-scattering calculation.

Hong Du1

  • 1Department of Physics, University of Miami, 1320 Campo Sano Drive, Coral Gables, Florida 33124, USA. hongdu@physics.miami.edu

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|April 7, 2004
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A new Mie-scattering algorithm offers robust and efficient light scattering calculations for spheres. This method enhances accuracy and stability for particles of all sizes, providing a reliable alternative to existing codes.

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Area of Science:

  • Computational physics
  • Optical sciences
  • Numerical methods

Background:

  • Mie scattering is crucial for understanding light interaction with spherical particles.
  • Existing algorithms can be computationally intensive and prone to numerical instability.
  • Accurate calculations are vital in fields like atmospheric optics and material science.

Purpose of the Study:

  • To develop a robust and efficient Mie-scattering calculation algorithm.
  • To improve numerical stability and accuracy for a wide range of particle sizes.
  • To provide a viable alternative to established Mie scattering codes.

Main Methods:

  • Developed a novel algorithm using the ratio of Riccati-Bessel functions.
  • Employed Kapteyn's inequality for estimating numerical precision.
  • Implemented the algorithm in C++ and compared results with Wiscombe's MIEV0 code.

Main Results:

  • The new algorithm demonstrates robustness and efficiency in Mie-scattering computations.
  • It achieves high accuracy and numerical stability for both small and large spheres.
  • The C++ implementation yields results comparable to the MIEV0 code in double precision.

Conclusions:

  • The presented Mie-scattering algorithm is a stable and accurate computational tool.
  • It offers advantages in efficiency and numerical handling compared to traditional methods.
  • The study provides insights for porting existing Mie scattering codes.