2002
DOI: 10.1103/physreve.65.026142
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Factorized time correlation diagram analysis of paired causal systems excited by twin stochastic driving functions

Abstract: This work examines the properties and mathematical structure of factorized time correlation (FTC) diagram analysis in a general context. The goal is to extract general principles and analytic behavior that are not tied to any particular phenomenon in physics. It is hoped that this will provide a basis for expanded use of FTC diagram analysis beyond its current employment in the study of noisy light-based nonlinear optical spectroscopy. Furthermore, the concept of indirect correlation in a two-channel system dr… Show more

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Cited by 7 publications
(9 citation statements)
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“…Although there is a formal isomorphism between the mathematical expressions and the FTC diagrams [137,138], it is informative to include selected analytic calculations in addition to the FTC diagram analysis. In this appendix we demonstrate the lengthy integration and algebra required for four of the 128 signal components, one of which is zero.…”
Section: Appendixmentioning
confidence: 99%
“…Although there is a formal isomorphism between the mathematical expressions and the FTC diagrams [137,138], it is informative to include selected analytic calculations in addition to the FTC diagram analysis. In this appendix we demonstrate the lengthy integration and algebra required for four of the 128 signal components, one of which is zero.…”
Section: Appendixmentioning
confidence: 99%
“…FTC diagram analysis has been applied to many noisy-light spectroscopies and also explored in a more general context to elucidate the underlying mathematical structure of the diagrams. In all but one previous work, the noisy-light signal was homodyne-detected.…”
Section: Resultsmentioning
confidence: 99%
“…64 Two of these tools, accumulation and color-locking, will be particularly important for the FTC diagram analysis of I (3) RIKES given below. Although discussions of accumulation and color-locking can be found elsewhere, 63,64,70 these two concepts will be briefly presented here because of their utility in the remainder of this work.…”
Section: The Ftc Diagramsmentioning
confidence: 99%
“…These FTC diagrams also appear as symmetric pairs ͑for example IVa and Xa͒ so collectively these terms must contribute a symmetric signal. It should be noted that some of the FTC diagrams of column a look as though there might be a potential for indirect correlation; 70 diagram IIIa is one of these. In all cases indirect correlation will force a separation of the first two tick marks on one of the timelines and hence has a rapid decay factor which kills off the term before probing the slow librational decay.…”
Section: Ftc Diagram Analysis Of the I "3… Rikes Signalmentioning
confidence: 99%
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