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Updated: Jun 16, 2026

Scattering And Absorption of Light in Planetary Regoliths

Scattering And Absorption of Light in Planetary Regoliths

Published on: July 1, 2019

Generating bessel functions in mie scattering calculations using continued fractions.

W J Lentz

|February 19, 2010

Summary

A novel algorithm efficiently computes Bessel functions for Mie theory calculations. This method enhances accuracy without requiring extensive computational resources, simplifying complex scientific modeling.

Area of Science:

Computational physics
Electromagnetic theory
Numerical analysis

Background:

Mie calculations are essential for understanding light scattering.
Bessel functions are critical components of Mie theory.
Existing methods for Bessel function computation can be resource-intensive.

Purpose of the Study:

To present a new, accurate method for generating Bessel functions.
To improve the efficiency of Mie calculation inputs.
To offer a robust algorithm for Bessel function evaluation.

Main Methods:

Developed a novel algorithm for evaluating continued fractions.
The algorithm starts evaluation from the beginning of the fraction.
Incorporated a built-in error-checking mechanism.

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Last Updated: Jun 16, 2026

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Main Results:

Achieved improved accuracy in Bessel function generation.
Eliminated the need for extended precision or large storage.
Successfully presented continued fraction representations for spherical Bessel functions and their ratios.

Conclusions:

The new method provides an accurate and efficient way to compute Bessel functions.
This advancement simplifies complex Mie scattering simulations.
The algorithm offers a valuable tool for researchers in computational physics and optics.