Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Optics Express

Correlation analysis of spectral fluctuations in inhomogeneously broadened spectra

Valerii S Zapasskii, G. G. Kozlov

Published Apr 23, 2001• 5 citations
Publisher

Abstract

It is shown that the lineshapes of inhomogeneously broadened spectra, due to the statistical nature of their formation, exhibit spectral fluctuations. Formulas are obtained that allow one, based on correlation analysis of different realizations of the inhomogeneously broadened line, to reconstruct its homogeneous lineshape and to evaluate the number of centers involved in its formation. The magnitude of these spectral fluctuations is estimated and it is shown that the proposed method can be efficiently used in practice.

DOI
10.1364/oe.8.000509

Related papers

On experimental potentialities of correlation analysis of the inhomogeneously broadened spectra

Valerii S Zapasskii, G. G. Kozlov, V. V. Ovsyankin

The potentialities of the correlation technique with respect to extracting the homogeneous line profile from an inhomogeneously broadened spectrum are analyzed by computer simulation. The signal-to-noise ratio for autoconvolution of the homogeneous line profile, obtained by statistical processing of an array of realizations of the inhomogeneously broadened spectrum for different experimental conditions and different values of parameters of the system is calculated. A general form of the dependence of the signal-to-noise ratio on the magnitude of the accumulated signal is established. An interpolation formula that expresses this dependence in an analytical form is obtained and a simple procedure is proposed that allows one to plot this dependence for specific experimental situations.

Optics and Spectroscopy•Nov 1, 2002•0 citations

Spectral speckle analysis: a new method to measure coherence and dephasing in semiconductor nanostructures

Gerrit Kocherscheidt, W. Langbein, R. Zimmermann

A new method to measure the coherence of inhomogeneously broadened optical excitations in semiconductor nanostructures is presented. The secondary emission of excitons in semiconductor quantum wells is investigated. The spectrally-resolved coherence degree of resonantly-excited light emission is deduced from the intensity fluctuations over the emission directions (speckles). The spectral correlations of the speckles give direct access to the homogeneous line width as function of spectral position within the inhomogeneously broadened ensemble. The combination of static disorder and phonon scattering leads to a partially coherent emission. The temperature dependence of the homogeneous line width is well explained by phonon scattering.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Jun 5, 2002•0 citations

Inhomogeneous broadening in solids: Progress towards a microscopic understanding

James L. Skinner, Brian B. Laird, Leslie J. Root

Abstract Inhomogeneous broadening is often considered a nuisance in solid state spectroscopy, and the usual treatment of it is phenomenological. In fact, the inhomogeneous broadening of absorption spectra, coupled with a microscopic theory, can provide one with interesting information about the nature of disorder in different systems. More sophisticated experiments can provide more detailed information about disorder by probing certain correlations between energy levels. For example, flourescence line narrowing spectra of isolated impurities involve correlations among three different vibronic levels. Pressure effects on hole burning spectra probe correlations of impurity transition energies before and after the pressure change. For interacting impurity systems, photon echo experiments involve transition energy correlations between different impurities. Efforts to understand these effects within a microscopic framework are discussed.

Journal of Luminescence•Jan 1, 1990•16 citations

Polarization spectra of homogeneously and inhomogeneously broadened two-level systems

A. Marcano O., L. Marquez, L. Aranguren +1 more

Polarization spectra of homogeneously and inhomogeneously broadened two-level systems are calculated. The observed remarkable differences can be used for the identification of the type of broadening. Experimental evidence of the spectral homogeneity of an ethanol solution of Malachite Green Oxalate is presented.

Journal of the Optical Society of America B•Nov 1, 1990•12 citations

Influence of fluctuations of laser radiation on the formation of ultrashort-period gratings in inhomogeneously broadened media

Sergey A. Moiseev, E. I. Shtyrkov

A theoretical investigation is reported of the influence of laser fluctuations on the formation of ultrashort-period population-inversion gratings in the case of an inhomogeneously broadened resonant transition. It is shown that such gratings may be formed in a narrow spectral interval and that their amplitude always obeys the normal distribution for different spectral isochromats.

Soviet Journal of Quantum Electronics•Jun 30, 1991•1 citation

Detection of narrow "laser" lines masked by spatially inhomogeneous broadening in radiation emitted from stellar atmospheres

N. N. Lavrinovich, Vladilen S Letokhov

Methods for detection of narrow spectral lines in the radiation emitted by a distant source, masked by a spatially inhomogeneous frequency shift, are considered. An analysis is made of the possibility of using, in principle, the Brown-Twiss correlation method and of the optical heterodyne method with independent heterodynes for this purpose. The normalized mutual correlation function is calculated in the plane of two receivers used to investigate a distant source characterized by a spatially inhomogeneous broadening of the spectrum. Estimates are given of the signal/noise ratio for both methods when applied to sources in the form of laser regions in a stellar atmosphere in the case of a strong rotation-induced spatial broadening of the spectrum.

Soviet Journal of Quantum Electronics•Sep 30, 1976•3 citations
It is shown that the lineshapes of inhomogeneously broadened spectra, due to the statistical nature of their formation, exhibit spectral fluctuations. Formulas are obtained that allow one, based on correlation analysis of different realizations of the inhomogeneously broadened line, to reconstruct its homogeneous lineshape and to evaluate the number of centers involved in its formation. The magnitude of these spectral fluctuations is estimated and it is shown that the proposed method can be efficiently used in practice.
The potentialities of the correlation technique with respect to extracting the homogeneous line profile from an inhomogeneously broadened spectrum are analyzed by computer simulation. The signal-to-noise ratio for autoconvolution of the homogeneous line profile, obtained by statistical processing of an array of realizations of the inhomogeneously broadened spectrum for different experimental conditions and different values of parameters of the system is calculated. A general form of the dependence of the signal-to-noise ratio on the magnitude of the accumulated signal is established. An interpolation formula that expresses this dependence in an analytical form is obtained and a simple procedure is proposed that allows one to plot this dependence for specific experimental situations.
A new method to measure the coherence of inhomogeneously broadened optical excitations in semiconductor nanostructures is presented. The secondary emission of excitons in semiconductor quantum wells is investigated. The spectrally-resolved coherence degree of resonantly-excited light emission is deduced from the intensity fluctuations over the emission directions (speckles). The spectral correlations of the speckles give direct access to the homogeneous line width as function of spectral position within the inhomogeneously broadened ensemble. The combination of static disorder and phonon scattering leads to a partially coherent emission. The temperature dependence of the homogeneous line width is well explained by phonon scattering.
Abstract Inhomogeneous broadening is often considered a nuisance in solid state spectroscopy, and the usual treatment of it is phenomenological. In fact, the inhomogeneous broadening of absorption spectra, coupled with a microscopic theory, can provide one with interesting information about the nature of disorder in different systems. More sophisticated experiments can provide more detailed information about disorder by probing certain correlations between energy levels. For example, flourescence line narrowing spectra of isolated impurities involve correlations among three different vibronic levels. Pressure effects on hole burning spectra probe correlations of impurity transition energies before and after the pressure change. For interacting impurity systems, photon echo experiments involve transition energy correlations between different impurities. Efforts to understand these effects within a microscopic framework are discussed.
Methods for detection of narrow spectral lines in the radiation emitted by a distant source, masked by a spatially inhomogeneous frequency shift, are considered. An analysis is made of the possibility of using, in principle, the Brown-Twiss correlation method and of the optical heterodyne method with independent heterodynes for this purpose. The normalized mutual correlation function is calculated in the plane of two receivers used to investigate a distant source characterized by a spatially inhomogeneous broadening of the spectrum. Estimates are given of the signal/noise ratio for both methods when applied to sources in the form of laser regions in a stellar atmosphere in the case of a strong rotation-induced spatial broadening of the spectrum.