Gegenbauer expansion to model the incident wave-field of a high-order Bessel vortex beam in spherical coordinates.
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Summary
Gegenbauer's (partial-wave) expansion, that may be used (under some specific conditions) to represent the incident field of an acoustical (or optical) high-order Bessel beam (HOBB) in spherical coordinates, anticipates earlier expressions for undistorted waves.
- Type
- article
- Published
- 2010-05-01
- Cited by
- 5
- References
- 42
- OpenAlex
- https://openalex.org/W2074252309
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:25002391
Keywords
Bessel function, Physics, Legendre function, Bessel beam, Legendre polynomials
References
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- Illustrations of optical vortices in three dimensions
- Nondiffracting vortex beams with continuous orbital angular momentum order dependence
- Dynamic optical manipulation with a higher-order fractional bessel beam generated from a spatial light modulator.
- Negative axial radiation force on a fluid and elastic spheres illuminated by a high-order Bessel beam of progressive waves
- Classical Heisenberg Model
- Acoustic radiation force of high-order Bessel beam standing wave tweezers on a rigid sphere.
- Acoustic radiation force on a sphere in standing and quasi-standing zero-order Bessel beam tweezers
- Sound Scattering by Solid Cylinders and Spheres
Cited by
- Axisymmetric scattering of an acoustical bessel beam by a rigid fixed spheroid
- Electromagnetic scattering by a uniaxial anisotropic sphere located in an off-axis Bessel beam.
- Off-axial acoustic scattering of a high-order Bessel vortex beam by a rigid sphere
- Analytic partial wave expansion and integral representation of Bessel beam
- Acoustic scattering of a Bessel vortex beam by a rigid fixed spheroid
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