Barth, I. and Lasser, C. (2009) Trigonometric pulse envelopes for laserinduced quantum dynamics. J. Phys. B: At. Mol. Opt. Phys., 42 (23). p. 235101.

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Official URL: http://dx.doi.org/10.1088/09534075/42/23/235101
Abstract
We relate powers of trigonometric functions to Gaussians by proving that properly truncated cosn functions converge to a Gaussian as n tends to infinity. For an application, we analyse the laserinduced population transfer X1Σ+ → A1Πx in a twolevel model system of aluminium monochloride (AlCl) with fixed nuclei. We apply linearly xpolarized ultraviolet laser pulses with a trigonometric envelope function, whose square has full width at halfmaximum of 2.5 fs and 5.0 fs. Studying population dynamics and optimized laser parameters, we find that the optimal field amplitude for trigonometric pulses with n = 20 and n = 1000 has a relative difference of 1%, which is below experimental resolution.
Item Type:  Article 

Subjects:  Physical Sciences > Physics > Mathematical & Theoretical Physics > Quantum Mechanics 
Divisions:  Department of Mathematics and Computer Science > Institute of Mathematics 
ID Code:  899 
Deposited By:  Burkhard Schmidt 
Deposited On:  29 Apr 2010 07:36 
Last Modified:  03 Mar 2017 14:40 
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