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New calculation of surface wave contributions associated with mie backscattering
Applied Optics
|February 4, 2010
Summary
This study calculates diffracted field contributions to electromagnetic plane wave backscattering by spherical particles. Surface waves in the shadow region are evaluated using complex poles and residues, providing insights into scattering phenomena.
Area of Science:
- Electromagnetic theory
- Scattering theory
- Optical physics
Background:
- Backscattering of electromagnetic waves by particles is crucial in various fields.
- Diffracted fields and surface waves significantly influence scattering patterns.
- Understanding these contributions requires detailed analysis of wave interactions with particles.
Purpose of the Study:
- To calculate diffracted field contributions to electromagnetic plane wave backscattering by spherical particles.
- To evaluate surface waves in the shadow region using surface wave poles and residues.
- To examine the validity of asymptotic expansion formulas for Hankel functions.
Main Methods:
- Calculation of diffracted field contributions to backscattering.
- Identification of surface wave poles and computation of their residues.
- Examination of the valid range for Schobe and Debye asymptotic expansion formulas for Hankel functions.
- Tabulation of numerical values for surface wave complex poles.
Main Results:
- Numerical values of surface wave complex poles were tabulated using asymptotic formulas.
- Backscattering cross-section curves due to the first six surface waves were presented.
- Results were shown as a function of the size parameter kappa (a) from 5 to 60.
- Analysis included both absorbing (m = 1.61-i0.0025) and nonabsorbing (m = 1.60) spheres.
Conclusions:
- Diffracted fields contribute significantly to backscattering through surface waves.
- The study provides valuable data on surface wave poles and their impact on scattering.
- The findings are applicable to understanding light scattering by spherical particles in different media.
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