By I. Prigogine, Stuart A. Rice(eds.)

The hot variation will give you the sole finished source to be had for non-linear optics, together with exact descriptions of the advances during the last decade from world-renowned experts.Content:

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Extra resources for Modern Nonlinear Optics, Part I, Volume 119, Second Edition

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In classical electrodynamics there is no real need to use complex numbers to describe the field. However, it is convenient to work with exponentials rather than cosine and sine functions and the field (1) is usually written in the form Eðr; tÞ ¼ EðþÞ eiðk Á rÀotÞ þ EðÀÞ eÀiðk Á rÀotÞ ð2Þ with the complex amplitudes EÆ ¼ E0 eÆij . The modulus squared of such an amplitude is the intensity of the field, and the argument is the phase. Both intensity and the phase can be measured simultaneously with arbitrary accuracy.

This noise is present even if the field is in the vacuum state, and for this reason it is usually referred to as the vacuum fluctuations of the field [4]. Quantum noise associated with the vacuum fluctuations, which appears because of noncommuting character of the annihilation and creation operators expressed by (4), is ubiquitous and cannot be eliminated, but we can to some extent control this noise by ‘squeezing’ it in one quantum variable at the expense of ‘‘expanding’’ it in another variable.

Edited by Myron W. Evans. Series Editors: I. Prigogine and Stuart A. Rice. Copyright # 2001 John Wiley & Sons, Inc. ISBNs: 0-471-38930-7 (Hardback); 0-471-23147-9 (Electronic) QUANTUM NOISE IN NONLINEAR OPTICAL PHENOMENA RYSZARD TANAS´ Nonlinear Optics Division, Institute of Physics, Adam Mickiewicz University, Poznan´, Poland CONTENTS I. Introduction II. Basic Definitions III. Second-Harmonic Generation A. Classical Fields B. Linearized Quantum Equations C. Symbolic Calculations D. Numerical Methods IV.

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