Fourier-Bessel beams of finite energy

Author:

Kotlyar V.V.1,Kovalev A.A.1,Kalinkina D.S.2,Kozlova E.S.1

Affiliation:

1. IPSI RAS – Branch of the FSRC "Crystallography and Photonics" RAS, 443001, Samara, Russia, Molodogvardeyskaya 151; Samara National Research University, 443086, Samara, Russia, Moskovskoye Shosse 34

2. Samara National Research University, 443086, Samara, Russia, Moskovskoye Shosse 34

Abstract

In this paper, we consider a new type of Bessel beams having Fourier-invariance property and, therefore, called Fourier-Bessel beams. In contrast to the known Bessel beams, these beams have weak side lobes. Analytical expressions for the complex amplitude of the proposed field in the initial plane of the source and in the far field region have been obtained. It is shown that the proposed Fourier-Bessel beams have a finite energy, although they do not have a Gaussian envelope. Their complex amplitude is proportional to a fractional-order Bessel function (an odd integer divided by 6) in the initial plane and in the Fraunhofer zone. The Fourier-Bessel modes have a smaller internal dark spot compared to the Laguerre-Gauss modes with a zero radial index. The proposed beams can be generated with a spatial light modulator and may find uses in telecommunications, interferometry, and the capture of metal microparticles.

Funder

Russian Foundation for Basic Research

Russian Science Foundation

Publisher

Samara State National Research University

Subject

Electrical and Electronic Engineering,Computer Science Applications,Atomic and Molecular Physics, and Optics

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