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Scattering of a Bessel beam by a sphere
1Department of Physics and Astronomy, Washington State University, Pullman, Washington 99164-2814, USA. marston@wsu.edu
The Journal of the Acoustical Society of America
|March 14, 2007
Summary
Scattering of Bessel beams by spheres is described using partial waves. For large spheres, scattering is concentrated along the beam axis and at the Bessel beam
Area of Science:
- * Acoustic and electromagnetic wave scattering
- * Theoretical physics and optics
Background:
- * Bessel beams offer unique non-diffracting properties.
- * Understanding wave scattering by objects is crucial in various fields.
Purpose of the Study:
- * To develop an exact theory for scattering of a Bessel beam by a sphere.
- * To analyze the scattering characteristics based on sphere properties and Bessel beam parameters.
Main Methods:
- * Formulation of scattering using a partial wave series expansion.
- * Relating plane wave scattering amplitudes to Bessel beam scattering.
- * Analysis of scattering patterns for large wavenumber-radius products (ka).
Main Results:
- * Scattered waves are proportional to known partial-wave coefficients, weighted by Bessel beam properties.
- * For large ka, scattering is strongly peaked forward and backward along the beam axis.
- * Additional scattering peaks occur at the Bessel beam's conical angle.
Conclusions:
- * The partial wave approach provides an exact description of Bessel beam scattering by spheres.
- * Scattering patterns are geometrically explained by beam and sphere properties.
- * The formulation is applicable to various sphere types (rigid, soft, elastic, fluid).
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