Theory of “frozen waves”: modeling the shape of stationary wave fields
JOSA A, Vol. 22, Issue 11, pp. 2465-2475 (2005)
http://dx.doi.org/10.1364/JOSAA.22.002465
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Abstract
In this work, starting by suitable superpositions of equal-frequency Bessel beams, we develop a theoretical and experimental methodology to obtain localized stationary wave fields (with high transverse localization) whose longitudinal intensity pattern can approximately assume any desired shape within a chosen interval 0≤z≤L of the propagation axis z. Their intensity envelope remains static, i.e., with velocity v=0, so we have named “frozen waves” (FWs) these new solutions to the wave equations (and, in particular, to the Maxwell equation). Inside the envelope of a FW, only the carrier wave propagates. The longitudinal shape, within the interval 0≤z≤L, can be chosen in such a way that no nonnegligible field exists outside the predetermined region (consisting, e.g., in one or more high-intensity peaks). Our solutions are notable also for the different and interesting applications they can have—especially in electromagnetism and acoustics—such as optical tweezers, atom guides, optical or acoustic bistouries, and various important medical apparatuses.
© 2005 Optical Society of America
OCIS Codes
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(140.3300) Lasers and laser optics : Laser beam shaping
(170.4520) Medical optics and biotechnology : Optical confinement and manipulation
(230.0230) Optical devices : Optical devices
(260.1960) Physical optics : Diffraction theory
(350.7420) Other areas of optics : Waves
ToC Category:
Lasers and Laser Optics
Citation
Michel Zamboni-Rached, Erasmo Recami, and Hugo E. Hernández-Figueroa, "Theory of “frozen waves”: modeling the shape of stationary wave fields," J. Opt. Soc. Am. A 22, 2465-2475 (2005)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-22-11-2465
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