dorsal/arxiv
View SchemaMultipole expansion of strongly focussed laser beams
| Authors | T. A. Nieminen, H. Rubinsztein-Dunlop, N. R. Heckenberg |
|---|---|
| Categories | |
| ArXiv ID | physics/0308111 |
| URL | https://arxiv.org/abs/physics/0308111 |
| DOI | 10.1016/S0022-4073(02)00335-7 |
| Journal | Journal of Quantitative Spectroscopy and Radiative Transfer 79-80, 1005-1017 (2003) |
Abstract
Multipole expansion of an incident radiation field - that is, representation of the fields as sums of vector spherical wavefunctions - is essential for theoretical light scattering methods such as the T-matrix method and generalised Lorenz-Mie theory (GLMT). In general, it is theoretically straightforward to find a vector spherical wavefunction representation of an arbitrary radiation field. For example, a simple formula results in the useful case of an incident plane wave. Laser beams present some difficulties. These problems are not a result of any deficiency in the basic process of spherical wavefunction expansion, but are due to the fact that laser beams, in their standard representations, are not radiation fields, but only approximations of radiation fields. This results from the standard laser beam representations being solutions to the paraxial scalar wave equation. We present an efficient method for determining the multipole representation of an arbitrary focussed beam.
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"abstract": "Multipole expansion of an incident radiation field - that is, representation\nof the fields as sums of vector spherical wavefunctions - is essential for\ntheoretical light scattering methods such as the T-matrix method and\ngeneralised Lorenz-Mie theory (GLMT). In general, it is theoretically\nstraightforward to find a vector spherical wavefunction representation of an\narbitrary radiation field. For example, a simple formula results in the useful\ncase of an incident plane wave. Laser beams present some difficulties. These\nproblems are not a result of any deficiency in the basic process of spherical\nwavefunction expansion, but are due to the fact that laser beams, in their\nstandard representations, are not radiation fields, but only approximations of\nradiation fields. This results from the standard laser beam representations\nbeing solutions to the paraxial scalar wave equation. We present an efficient\nmethod for determining the multipole representation of an arbitrary focussed\nbeam.",
"arxiv_id": "physics/0308111",
"authors": [
"T. A. Nieminen",
"H. Rubinsztein-Dunlop",
"N. R. Heckenberg"
],
"categories": [
"physics.optics"
],
"doi": "10.1016/S0022-4073(02)00335-7",
"journal_ref": "Journal of Quantitative Spectroscopy and Radiative Transfer 79-80,\n 1005-1017 (2003)",
"title": "Multipole expansion of strongly focussed laser beams",
"url": "https://arxiv.org/abs/physics/0308111"
},
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