Polynomial Gaussian beams and topological charge conservation

2006 ◽  
Vol 266 (2) ◽  
pp. 433-437 ◽  
Author(s):  
Filippus S. Roux
Keyword(s):  
Topological Charge ◽  
Gaussian Beams ◽  
Charge Conservation

scholarly journals Fine structure of perturbed Laguerre–Gaussian beams: Hermite–Gaussian mode spectra and topological charge

2020 ◽  
Vol 59 (25) ◽  
pp. 7680 ◽  
Author(s):  
A. Volyar ◽  
E. Abramochkin ◽  
Yu. Egorov ◽  
M. Bretsko ◽  
Ya. Akimova
Keyword(s):  
Fine Structure ◽  
Topological Charge ◽  
Gaussian Beams ◽  
Gaussian Mode

scholarly journals Sorting Laguerre-Gaussian beams by radial numbers via intensity moments

2020 ◽  
Vol 44 (2) ◽  
pp. 155-166
Author(s):  
A.V. Volyar ◽  
M. Bretsko ◽  
Ya. Akimova ◽  
Yu. Egorov
Keyword(s):  
Spectral Line ◽  
Information Entropy ◽  
Topological Charge ◽  
Amplitude Spectrum ◽  
Gaussian Beams ◽  
Digital Analysis ◽  
Correlation Degree ◽  
Amplitude Spectra ◽  
A New Technique ◽  
Measure Of Uncertainty

We propose and experimentally implement a new technique for digitally sorting Laguerre-Gaussian (LG) modes by radial number at a constant topological charge, resulting from the pertur-bation of the original LG beam, or superposition thereof, by passing them through a thin dielectric diaphragm with various aperture radii. The technique is based on a digital analysis of higher-order intensity moments. Two types of perturbed beams are considered: non-degenerate and degenerate beams with respect to the initial radial number of the LG beam superposition. A diaphragm with a circular pinhole causes the appearance of a set of secondary LG modes with different radial num-bers, which are characterized by an amplitude spectrum. The digital amplitude spectrum makes it possible to recover the real LG modes and find the measure of uncertainty due to perturbation by means of information entropy. It is found that the perturbation of a complex beam leads to the appearance of a degenerate am-plitude spectrum since a single spectral line corresponds to a set of modes generated by M original Laguerre-Gaussian beams with different radial numbers. For the spectrum to be deciphered, we use M keys represented by the amplitude spectra of the nondegenerate perturbed beams in our ex-periment. However, the correlation degree decreases to 0.92.

scholarly journals Topological charge of two parallel Laguerre-Gaussian beams

2021 ◽  
Author(s):  
Victor Kotlyar ◽  
Alexey Kovalev ◽  
POURIA AMIRI ◽  
Peyman Soltani ◽  
Saifollah Rasouli
Keyword(s):  
Topological Charge ◽  
Gaussian Beams
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