Title :
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
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;
Conference_Titel :
Lasers and Electro-Optics Europe, 2003. CLEO/Europe. 2003 Conference on
Print_ISBN :
0-7803-7734-6
DOI :
10.1109/CLEOE.2003.1312188