Propagation presentation of ultrashort chirped pulses with elegant Laguerre-Gaussian transverse modes
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1.
Department of Physics and Electronic Science, Changsha University of Science and Technology, Changsha 410004, China
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Received Date:
2008-12-22
Accepted Date:
2009-02-11
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Abstract
In order to study the physical model of the ultrashort pulses with spatial profiles of elegant Laguerre-Gaussian transverse modes and the effect of beam parameters on the model, complex amplitude envelope(CAE)solution and complex analytical signal(CAS)solution of pulsed beams were derived according to CAE and CAS representations.Generation of the singularity in the CAE solution and effect of the chirp,the pulse duration and the mode on it were analyzed.The results indicate that singularity of the CAE solution closer to the central with larger chirp and the CAS solution doesnt present singularity with any chirp.The singularity is located nearer to the central axis for the pulses with higher order transverse modes and shorter pulse duration.Thus, to obtain reasonable physical model of the laser beams,appropriate method should be adopted according to the beam parameters.
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