Journal ArticleDOI
Generation of an elliptic hollow beam using Mathieu and Bessel functions
Rijuparna Chakraborty,Ajay Ghosh +1 more
TLDR
A new (to the authors' knowledge) technique for the generation of a propagation-invariant elliptic hollow beam is reported, which avoids the use of the radial Mathieu function and hence is mathematically simpler.Abstract:
A new (to our knowledge) technique for the generation of a propagation-invariant elliptic hollow beam is reported. It avoids the use of the radial Mathieu function and hence is mathematically simpler. Bessel functions with their arguments having elliptic locus are used to generate the mask, which is then recorded using holographic technique. To generate such an elliptic beam, both the angular Mathieu function, i.e., elliptic vortex term, and the expression for the circular vortex are used separately. The resultant mask is illuminated with a plane beam, and the proper filtering of its Fourier transform generates the expected elliptic beam. Results with both vortex terms are satisfactory. It has been observed that even for higher ellipticity the vortices do not separate.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.
Journal ArticleDOI
Generation of a high-quality partially coherent dark hollow beam with a multimode fiber
TL;DR: The experimental generation of a high-quality partially coherent dark hollow beam (DHB) is reported by coupling a partially coherent beam into a multimode fiber (MMF) with a suitable incidence angle by closely controlled coherence of the input beam.
Journal ArticleDOI
Scintillation properties of dark hollow beams in a weak turbulent atmosphere
TL;DR: In this paper, the on-axis scintillation index for a circular dark hollow beam (DHB) propagating in a weak turbulent atmosphere is formulated, and the scintillator properties of a DHB are investigated in detail.
Journal ArticleDOI
Elliptical Laguerre-Gaussian correlated Schell-model beam.
TL;DR: Analytical propagation formula for an elliptical LGCSM beam passing through a stigmatic ABCD optical system is derived and the experimental results are consistent with the theoretical predictions.
Journal ArticleDOI
Scintillation of astigmatic dark hollow beams in weak atmospheric turbulence
TL;DR: The scintillation properties of astigmatic dark hollow beams (DHBs) in weak atmospheric turbulence were investigated and it was found that dark size, beam waist size, and wavelength can be smaller than that of a stigmatic DHB and that of stigmatic and astigmatic flat-topped, annular, and Gaussian beams inWeak atmospheric turbulence particularly at long propagation ranges.
References
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Journal ArticleDOI
Handbook of Mathematical Functions
Book
Mathematical Methods for Physicists
TL;DR: In this article, the authors present a model for vector analysis based on the Calculus of Variations and the Sturm-Liouville theory, which includes the following: Curved Coordinates, Tensors.
Journal ArticleDOI
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.