Journal ArticleDOI
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.read more
Citations
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Generation of second-harmonic Ince-Gaussian beams
TL;DR: In this article, a second-harmonic Ince-Gaussian beam with a fundamental Gaussian beam was generated based on binary nonlinear computer-generated holograms with a domain structure (realized via electric field poling at room temperature).
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Fractional Ince equation with a Riemann-Liouville fractional derivative
TL;DR: The classical treatment of the Ince equation is extended to include the effect of a fractional derivative term of order @a>0 and amplitude c and a Fourier expansion is used to determine the eigenvalue curves a(@?) in function of the parameter @?, the stability domains, and the periodic stable solutions of the fractional Ince equations.
Journal ArticleDOI
Polarization of orbital angular momentum carrying laser beams.
TL;DR: Polarization of orbital angular momentum (OAM) carrying Laguerre-Gauss optical vortex beams, consistent with Maxwell's equations, is discussed, and experimental evidence for it is presented.
Journal ArticleDOI
Partially coherent Ince-Gaussian beams.
TL;DR: The results show that the cross-correlation function (CCF) provides insight into the composition of the Ince-Gaussian beam, as well as into its spatial coherence structure and singularities, particularly revealing a rich structure of nodal lines in the CCF.
Quantum experiments with spatial modes of photons in large real and Hilbert spaces
TL;DR: In this paper, the problem of quantisierte Einheit von Drehimpuls tragen konnen is discussed, in which the authors show how to construct quantisiersche Einheitschaft of two Photonen-Paars in a quantenphysikalischen setting.
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.
Journal ArticleDOI
Generation of a beam with a dark focus surrounded by regions of higher intensity: the optical bottle beam
Jochen Arlt,Miles J. Padgett +1 more
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
I. Kimel,L.R. Elias +1 more
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
Hiroyuki Sasada,Megumi Okamoto +1 more
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.