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Open AccessJournal ArticleDOI

Generalized Bessel beams with two indices

Marco Ornigotti, +1 more
- 01 Oct 2014 - 
- Vol. 39, Iss: 19, pp 5618-5621
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TLDR
A new class of exact solutions of the scalar Helmholtz equation obtained by carefully engineering the form of the angular spectrum of a Bessel beam is reported on.
Abstract
We report on a new class of exact solutions of the scalar Helmholtz equation obtained by carefully engineering the form of the angular spectrum of a Bessel beam. We consider in particular the case in which the angular spectrum of such generalized beams has, in the paraxial zone, the same radial structure as Laguerre–Gaussian beams. We investigate the form of these new beams as well as their peculiar propagation properties.

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Citations
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Principles of lasers

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Bessel beams with spatial oscillating polarization

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References
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Stimulated Optical Radiation in Ruby

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Exact solutions for nondiffracting beams. I. The scalar theory

TL;DR: In this paper, exact nonsingular solutions of the scalar-wave equation for beams that are non-diffracting were presented, which means that the intensity pattern in a transverse plane is unaltered by propagating in free space.
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Accelerating finite energy Airy beams

TL;DR: This work investigates the acceleration dynamics of quasi-diffraction-free Airy beams in both one- and two-dimensional configurations and shows that this class of finite energy waves can retain their intensity features over several diffraction lengths.
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Nonspreading wave packets

TL;DR: In this article, it was shown that for a wave ψ in the form of an Airy function the probability density ψ 2 propagates in free space without distortion and with constant acceleration.
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The Maser—New Type of Microwave Amplifier, Frequency Standard, and Spectrometer

TL;DR: In this article, a type of device is described which can be used as a microwave amplifier, spectrometer, or oscillator, and experimental results are given for the expected sensitivity, stability and purity of the oscillation.
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