12 April 2001 New class of nondiffracting beams: Mathieu beams
Author Affiliations +
Proceedings Volume 4271, Optical Pulse and Beam Propagation III; (2001) https://doi.org/10.1117/12.424720
Event: Photonics West 2001 - LASE, 2001, San Jose, CA, United States
We present a new class of invariant optical fields that we named Mathieu beams because they are described by radial and angular Mathieu functions. The angular spectrum of these beams when mapped on the McCutchen sphere gives the clue to create them in the laboratory. The corresponding experimental setup is described and the results obtained corroborated our theoretical predictions. The experimental parameters can be easily adjusted to obtain a variety of transverse intensity patterns that range from cosine to Bessel. There are two main families of higher order Mathieu beams, one of them are confocal elliptically ringed and can present phase rotating characteristics that are interesting for creating elliptical rotating waves. The other family of these high order beams have bowtie shapes. Mathieu beams are a variant of superposition of uniform conical waves, i.e. Bessel beams, and for these reason they have also the capability of self-reconstruction after finite obstructions.
© (2001) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Julio Cesar Gutierrez-Vega, Ramon M. Rodriguez-Dagnino, Marcelo David Iturbe Castillo, Sabino Chavez-Cerda, "New class of nondiffracting beams: Mathieu beams", Proc. SPIE 4271, Optical Pulse and Beam Propagation III, (12 April 2001); doi: 10.1117/12.424720; https://doi.org/10.1117/12.424720


Beam shaping by superposition of fundamental mode Gaussian beam
Proceedings of SPIE (September 29 2004)
Characterization of Helmholtz-Gauss beams
Proceedings of SPIE (August 18 2005)
Vortex beam shaping
Proceedings of SPIE (September 09 2006)
Rotary solitons in elliptical photonic lattices
Proceedings of SPIE (August 21 2009)
Characterization of elliptic dark hollow beams
Proceedings of SPIE (September 12 2008)
Experimental verification of parabolic nondiffracting beams
Proceedings of SPIE (September 29 2004)

Back to Top