Parabolic propagation-invariant optical beams

Author

Gutiérrez-Vega, J.C. ; Bandrés-Motola, M.A. ; Ley-Koo, E. ; Volke-Sepúlveda, K.P. ; Chávez-Cerda, S.

Author_Institution

Tecnologico de Monterrey, NL, USA

fYear

2003

fDate

22-27 June 2003

Firstpage

127

Abstract

We present in this work the propagation-invariant optical fields (PIOFs) which are exact solutions of the Helmholtz equation. These solutions are given in parabolic coordinates and have an inherent parabolic geometry. Our new approach allowed to obtain the proper solutions that describe the whole family of parabolic PIOFs in a straightaway manner. Based on the McCutchen theorem we have also identified the corresponding angular spectrum, which common to all PIOFs, lies on a ring. Another interesting features of these beams is that their order is not quantised as occurs for the Bessel and Mathieu beams and that they have a definite parity.

Keywords

Helmholtz equations; laser beams; light propagation; parabolic equations; Bessel beam; Helmholtz equation; Mathieu beams; McCutchen theorem; angular spectrum; beam quantisation; inherent parabolic geometry; parabolic coordinates; parabolic propagation-invariant optical fields; Biomedical optical imaging; Laser beams; Laser surgery; Laser theory; Machining; Optical beams; Optical propagation; Partial differential equations; Physics; Wireless communication;

fLanguage

English

Publisher

ieee

Conference_Titel

Lasers and Electro-Optics Europe, 2003. CLEO/Europe. 2003 Conference on

Print_ISBN

0-7803-7734-6

Type

conf

DOI

10.1109/CLEOE.2003.1312188

Filename

1312188