dorsal/arxiv
View SchemaAnalytical expressions for the longitudinal evolution of nondiffracting pulses truncated by finite apertures
| Authors | Michel Zamboni-Rached |
|---|---|
| Categories | |
| ArXiv ID | physics/0512148 |
| URL | https://arxiv.org/abs/physics/0512148 |
| DOI | 10.1364/JOSAA.23.002166 |
Abstract
In this paper, starting from some general and plausible assumptions based on geometrical optics and on a common feature of the truncated Bessel beams, a heuristic derivation is presented of very simple analytical expressions, capable of describing the longitudinal (on-axis) evolution of axially-symmetric nondiffracting pulses when truncated by finite apertures. We apply our analytical formulation to several situations involving subluminal, luminal or superluminal localized pulses and compare the results with those obtained by numerical simulations of the Rayleigh-Sommerfeld diffraction integrals. The results are in excellent agreement. The present approach can be very useful, because it can yield, in general, closed analytical expressions, avoiding the need of time-consuming numerical simulations, and also because such expressions provide a powerful tool for exploring several important properties of the truncated localized pulses, as their depth of fields, the longitudinal pulse behavior, the decaying rates, and so on.
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"abstract": "In this paper, starting from some general and plausible assumptions based on\ngeometrical optics and on a common feature of the truncated Bessel beams, a\nheuristic derivation is presented of very simple analytical expressions,\ncapable of describing the longitudinal (on-axis) evolution of axially-symmetric\nnondiffracting pulses when truncated by finite apertures. We apply our\nanalytical formulation to several situations involving subluminal, luminal or\nsuperluminal localized pulses and compare the results with those obtained by\nnumerical simulations of the Rayleigh-Sommerfeld diffraction integrals. The\nresults are in excellent agreement. The present approach can be very useful,\nbecause it can yield, in general, closed analytical expressions, avoiding the\nneed of time-consuming numerical simulations, and also because such expressions\nprovide a powerful tool for exploring several important properties of the\ntruncated localized pulses, as their depth of fields, the longitudinal pulse\nbehavior, the decaying rates, and so on.",
"arxiv_id": "physics/0512148",
"authors": [
"Michel Zamboni-Rached"
],
"categories": [
"physics.optics",
"physics.med-ph"
],
"doi": "10.1364/JOSAA.23.002166",
"title": "Analytical expressions for the longitudinal evolution of nondiffracting pulses truncated by finite apertures",
"url": "https://arxiv.org/abs/physics/0512148"
},
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