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Ince–Gaussian beams

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TLDR
The existence of the Ince-Gaussian beams is demonstrated that constitute the third complete family of exact and orthogonal solutions of the paraxial wave equation and has an inherent elliptical symmetry.
Abstract
We demonstrate the existence of the Ince-Gaussian beams that constitute the third complete family of exact and orthogonal solutions of the paraxial wave equation. Their transverse structure is described by the Ince polynomials and has an inherent elliptical symmetry. Ince-Gaussian beams constitute the exact and continuous transition modes between Laguerre and Hermite-Gaussian beams. The propagating characteristics are discussed as well.

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Citations
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Ince-Gaussian beams in strongly nonlocal nonlinear media

Dongmei Deng, +1 more
- 30 Jun 2008 - 
TL;DR: Based on the Snyder-Mitchell model that describes the beam propagation in strongly nonlocal nonlinear media, the close forms of Ince-Gaussian (IG) beams have been found.
Journal ArticleDOI

Cyclic transformation of orbital angular momentum modes

TL;DR: In this paper, a cyclic transformation in the high-dimensional space of photonic orbital angular momentum (OAM) was shown to be useful for quantum cryptography with QuDits.
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An integrated microwell array platform for cell lasing analysis.

TL;DR: The microarrayed cell laser platform developed here could provide a powerful tool in single cell analysis using lasing emission that complements conventional fluorescence-based cell analysis.
Journal ArticleDOI

Sculpting complex polarization singularity networks.

TL;DR: Adding to fundamental singular optics, these investigations evince the conservation of tailored singularity arrangements upon 3D propagation, whereby respective modes enlarge the range of stable vectorial fields, paving the way to information technologies with a significantly enhanced number of degrees of freedom.
References
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Journal ArticleDOI

Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes.

TL;DR: Laser light with a Laguerre-Gaussian amplitude distribution is found to have a well-defined orbital angular momentum and an astigmatic optical system may be used to transform a high-order LaguERre- Gaussian mode into aHigh-order Hermite-Gaussia mode reversibly.
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Generation of a beam with a dark focus surrounded by regions of higher intensity: the optical bottle beam

TL;DR: A computer-generated hologram is used to form an optical beam with a localized intensity null at its focus that will have applications in the optical trapping of macroscopic objects or atoms; hence the term optical bottle beam.
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Relations between Hermite and Laguerre Gaussian modes

TL;DR: In this paper, the authors derived relation between Hermite (HG) and Laguerre (LG) Gaussian modes from addition identities between a pair of Hermite polynomials.
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Nondiffracting beams: travelling, standing, rotating and spiral waves

TL;DR: In this paper, a reformulation of nondiffracting beams, based on more general (travelling wave) solutions of the nonparaxial wave equation, is presented.
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Transverse-mode beam splitter of a light beam and its application to quantum cryptography

TL;DR: In this article, the authors theoretically and experimentally studied how a Mach-Zehnder interferometer with an additional mirror transforms a light beam composed of the second lowest transverse modes, and proposed a practical device involving the two interferometers for quantum cryptography, in which a photon carries two bits corresponding to the polarization and transverse mode.
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