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Half-integer order Bessel beams

2014/05/30 by Adrián Carbajal-Domı́nguez, Jorge Bernal, Carbajal-Dominguez, Adrian +7
Engineering · Physics and Astronomy · #FOS: Physical sciences #Near-Field Optical Microscopy #Optics (physics.optics) #Orbital Angular Momentum in Optics #Photonic Crystal and Fiber Optics

paper · pdf · doi:10.48550/arxiv.1405.7755

openalex publication_date 2014/05/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Optical beams are solutions to the paraxial wave equation (PWE). In this work we report a new, to our knowledge, optical beam. We solve the PWE by using the angular spectrum of plane waves theory in circular cylindrical coordinates. This lead us to solutions expressed in integral form that can be evaluated in closed-form for half-integer order Bessel functions. We show how to implement numerical simulation and how these results are confirmed by experiment. We believe this approach facilitates the analysis and synthesis of generic optical beams.

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