dorsal/arxiv
View SchemaExponential beams of electromagnetic radiation
| Authors | Iwo Bialynicki-Birula, Zofia Bialynicka-Birula |
|---|---|
| Categories | |
| ArXiv ID | physics/0607292 |
| URL | https://arxiv.org/abs/physics/0607292 |
| DOI | 10.1088/0953-4075/39/15/S03 |
| Journal | J. Phys. B: At. Mol. Opt. Phys. 39, 545 (2006) |
Abstract
We show that in addition to well known Bessel, Hermite-Gauss, and Laguerre-Gauss beams of electromagnetic radiation, one may also construct exponential beams. These beams are characterized by a fall-off in the transverse direction described by an exponential function of rho. Exponential beams, like Bessel beams, carry definite angular momentum and are periodic along the direction of propagation, but unlike Bessel beams they have a finite energy per unit beam length. The analysis of these beams is greatly simplified by an extensive use of the Riemann-Silberstein vector and the Whittaker representation of the solutions of the Maxwell equations in terms of just one complex function. The connection between the Bessel beams and the exponential beams is made explicit by constructing the exponential beams as wave packets of Bessel beams.
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"abstract": "We show that in addition to well known Bessel, Hermite-Gauss, and\nLaguerre-Gauss beams of electromagnetic radiation, one may also construct\nexponential beams. These beams are characterized by a fall-off in the\ntransverse direction described by an exponential function of rho. Exponential\nbeams, like Bessel beams, carry definite angular momentum and are periodic\nalong the direction of propagation, but unlike Bessel beams they have a finite\nenergy per unit beam length. The analysis of these beams is greatly simplified\nby an extensive use of the Riemann-Silberstein vector and the Whittaker\nrepresentation of the solutions of the Maxwell equations in terms of just one\ncomplex function. The connection between the Bessel beams and the exponential\nbeams is made explicit by constructing the exponential beams as wave packets of\nBessel beams.",
"arxiv_id": "physics/0607292",
"authors": [
"Iwo Bialynicki-Birula",
"Zofia Bialynicka-Birula"
],
"categories": [
"physics.optics"
],
"doi": "10.1088/0953-4075/39/15/S03",
"journal_ref": "J. Phys. B: At. Mol. Opt. Phys. 39, 545 (2006)",
"title": "Exponential beams of electromagnetic radiation",
"url": "https://arxiv.org/abs/physics/0607292"
},
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