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A complete expression for the third-order susceptibility (χ(3)) - Perturbative and diagrammatic approaches

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1 Author(s)
Prior, Y. ; Weizmann Institute of Science, Rehovot, Israel

The complete expression, including all 48 terms, for the third-order nonlinear susceptibility \chi ^{(3)} is written down explicitly. The diagrammatic and perturbative approaches to its derivation are matched and compared. The use of nontime-ordered (one-sided) diagrams is discussed and shown to give incomplete results.

Published in:

Quantum Electronics, IEEE Journal of  (Volume:20 ,  Issue: 1 )