&lt;title&gt;Description of nonstationary scattered fields in light-beating spectroscopy problems&lt;/title&gt;

Krasnov, Andrey E.; Lunin, A.; Druzhinin, Yu. O.

doi:10.1117/12.155074

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“…Applying HPP (by electon filter, for instance) , obtain additional signal G(t) = I e I A E (q, t) sin [ço(q, t) -or] ' which is in this particular case J(F) =4 I e I 2 : const. Therefore, HPP p[F,G,t] sLtrikes in the plane (F,G) a trajectory related to the amplitude (A e) or phase (ço) variations in the medium under consideration [ 10] . Notably, for random Brown processes HPP provides no more information than their spectral or correlation functions because it describes random stray and has Gaussian form as a result.…”

Section: Using Hpp For Monitoring Continuum Structural Dynamics By LImentioning

confidence: 99%

<title>Method of phase portrait for analysis of nonstationary coherent optical fields</title>

Krasnov¹

1993

SPIE Proceedings

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The method dwells upon observed estimate of nonstationary field density operator in the form of two-dimensional joint distribution of variables related to the field envelope or correlation function and their Hubert-images.It is oriented to recognition and estimation of the parameters of both stationary and non-stationary optical fields.Consideration is given to apply it for experimental study of low-frequency transients in optical quantum generators and nonstationary light scattering in liquid media. . IntroductionA method of experimental estimation of nonstationary field density operator in the form of twodimensional joint distribution of variables related to the field envelope or correlation function and their Hubert-images is discussed. The paperdescribes its application to experimental analysis of low-frequency transients in optical quantum generators and nonstationary light scatter in liquids.The spectral methods have certain disadvantages. At observing coherent field E+(r,t) = e(r,t) Xx exp(f w0t) (complex envelope e+(r, t) and optical carrier w) , it is field correlation function C(r, t) = = exp(jw0t) that is investigated depending, for stationary fields, only on a single time argument r and is related by the Fourier transform to the spectral power S(w) of field envelope. One can judge from spectrum width Aw about the interval A v 1 /z\ w of temporal field coherence characterizing the temporal correlation of the stationary process generating filed envelope. COrrelational or identical spectral descriptions suffice for many processes associated, for example, with molecular continuum dynamics because of random nature of phase relations in motions of individual molecules. This phase information is known to be disregarded in these descriptions that preserve only values averaged over all possible phases in the ensemble of molecules (denoted by <>) . Correlational C(r, t) or timefrequency S(w, t) descriptions of nonstationary fields depend on two appropriate arguments. It is well known that for high-frequency fluctuations (noises), stationary descriptions can be constructed by averaging C(v, t) or S(w, t) by greater observation time T (T/A oo) [1]. For low-frequency processes, however, averaging results in degenerate descriptions, that is loss of 'phase information about cause-effect relations between temporal components of processes. For instance, nonstationarity of transients in high-molecular compounds or phase transitions in ordered media may be due to cooperative intermolecular interaction or environmental interaction, correlation function trend variations characterizing interaction features. Direct correlational or 0-8194-1 224-4/93/$6.oo SPIE Vol. 1978 / 193 Downloaded From: http://proceedings.spiedigitallibrary.org/ on 06/17/2016 Terms of Use: http://spiedigitallibrary.org/ss/TermsOfUse.aspx

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Section: Using Hpp For Monitoring Continuum Structural Dynamics By LImentioning

confidence: 99%

<title>Method of phase portrait for analysis of nonstationary coherent optical fields</title>

Krasnov¹

1993

SPIE Proceedings

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View full text Add to dashboard Cite

show abstract

<title>Description of nonstationary scattered fields in light-beating spectroscopy problems</title>

Cited by 1 publication

References 0 publications

<title>Method of phase portrait for analysis of nonstationary coherent optical fields</title>

<title>Method of phase portrait for analysis of nonstationary coherent optical fields</title>

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