Journal ArticleDOI
General construction and connections of vector propagation invariant optical fields: TE and TM modes and polarization states
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TLDR
In this article, robust solutions of the Maxwell equations describing propagation invariant optical fields are presented in general; the elements for their specific applications to the Bessel, Mathieu and Weber families are also provided.Abstract:
Rigorous solutions of the Maxwell equations describing propagation invariant optical fields are presented in general; the elements for their specific applications to the Bessel, Mathieu and Weber families are also provided. Electric and magnetic transverse modes, and several polarization state solutions, are constructed; the connections between them are explicitly established. Their respective energy densities and Poynting vectors are also evaluated, in order to exhibit their propagation invariant nature. The experience with Bessel beams allows us to recognize that vector modes exhibit new and important features compared with the corresponding scalar fields; the results of this work constitute a first step towards the analysis of the dynamical properties of vector Mathieu and Weber beams.read more
Citations
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Journal Article
Holographic generation and orbital angular momentum of high-order Mathieu beams : Special issue on atoms and angular momentum of light
Sabino Chávez-Cerda,Miles J. Padgett,I. Allison,G.H.C. New,Julio C. Gutiérrez-Vega,Anna T. O'Neil,I. Macvicar,Johannes Courtial +7 more
TL;DR: In this article, the first experimental generation of high-order Mathieu beams and confirm their propagation invariance over a limited range were reported, using a computer-generated phase hologram.
Book ChapterDOI
Light Modes of Free Space
TL;DR: In this article, a large number of known distinct sets of light patterns propagate in free space essentially unchanged and can be divided into two groups: light waves and light beams. And the sets of waves and beams can be further classified according to the coordinate system to which they belong.
Journal ArticleDOI
Asymmetric Bessel-Gauss beams.
TL;DR: This work proposes a three-parameter family of asymmetric Bessel-Gauss (aBG) beams with integer and fractional orbital angular momentum (OAM).
Journal ArticleDOI
The ubiquitous photonic wheel
Andrea Aiello,Peter Banzer +1 more
TL;DR: In this article, a general theory of electromagnetic waves propagating along a well defined direction, and carrying transverse spin AM density was established, and it was shown that depending on the shape of these waves, the spin density may be either perpendicular to the mean linear momentum or to the linear momentum density.
Journal ArticleDOI
General description of transverse mode Bessel beams and construction of basis Bessel fields
TL;DR: In this article, a general description of transverse mode Bessel beams is proposed based on an analysis of polarized Bessel beam using the Hertz vector potentials and the angular spectrum representation (ASR).
References
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Book
Principles of Optics
TL;DR: In this paper, the authors discuss various topics about optics, such as geometrical theories, image forming instruments, and optics of metals and crystals, including interference, interferometers, and diffraction.
Principles of Optics
TL;DR: In this article, the authors discuss various topics about optics, such as geometrical theories, image forming instruments, and optics of metals and crystals, including interference, interferometers, and diffraction.
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
Diffraction-free beams.
TL;DR: The first experimental investigation of nondiffracting beams, with beam spots as small as a few wavelengths, can exist and propagate in free space, is reported.