New PDF release: Advances in Chemical Physics, Vol.119, Part 1. Modern

By Myron W. Evans, Ilya Prigogine, Stuart A. Rice

ISBN-10: 0471389307

ISBN-13: 9780471389309

ISBN-10: 0471466131

ISBN-13: 9780471466130

The recent version will give you the sole accomplished source on hand for non-linear optics, together with distinctive descriptions of the advances over the past decade from world-renowned specialists.


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Additional info for Advances in Chemical Physics, Vol.119, Part 1. Modern Nonlinear Optics (Wiley 2001)

Sample text

S. of (110) has the roots pffiffiffiffi pffiffiffiffi nb3 ¼ 1 þ E0 ð111Þ nb2 ¼ 1 À E0 ; nb1 ¼ 0 ; and the solution has the form qffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi  qffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi pffiffiffiffi 2 pffiffiffiffi 2 0 0 nb ðtÞ ¼ 1 À E sn 1 þ E tjk where pffiffiffiffi 1 À E0 pffiffiffiffi k ¼ 1 þ E0 2 ð112Þ ð113Þ The results have been recently obtained by Olsen et al. [38], and they show that even for almost vanishingly small E0 , which is inversely proportional to the initial mean value of the number of the pump mode photons, usually very large, the quantum fluctuations have huge macroscopic effect on the system dynamics.

With dotted lines the classical amplitudes of the two modes are marked for reference. The value of unity for the quadrature variances sets the level of vacuum fluctuations (coherent states experience the same fluctuations), and we find that indeed the quantum noise can be suppressed below the vacuum level in the ^ a ðtފ2 i of the fundamental mode and the phase amplitude quadrature h½ÁQ 2 ^ quadrature h½ÁPðtފ i of the harmonic mode. 5 1 ^ a ðtފ2 i (dashed line) and h½ÁP ^ a ðtފ2 i (solid line) [for reference, Figure 3.

For reference, with the dotted line the classical solution is marked on both figures. The solutions are oscillatory but the oscillations are damped rather quickly when the pump mode is strong. The higher is the intensity of the pump mode, the longer the solution sticks to the classical solution before the process is reversed from the second-harmonic 40 ryszard tanas´ generation into the downconversion. The maximum reached by the second harmonic intensity increases, as the intensity of the pump mode increases, giving better efficiency of conversion of the fundamental mode field into the second harmonic.

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Advances in Chemical Physics, Vol.119, Part 1. Modern Nonlinear Optics (Wiley 2001) by Myron W. Evans, Ilya Prigogine, Stuart A. Rice


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