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

Canadian Journal of Physics

Saturation inhomogène des colorants dans le cas d'une excitation incohérente

Gerard A. Mourou, Marguerite-Marie Denariez

Published Dec 1, 1974• 3 citations
Publisher

Abstract

A theoretical model is developed here which describes the evolution of hole burning in solutions when the pulse duration is assumed to be longer than the transverse relaxation time T2. The double influence of T2 on the width of the initial hole and also on the transient nature of this hole is observed. A comparison of these results with some experimental measurements is performed.

DOI
10.1139/p74-306

Related papers

Theory of transient hole-burning spectrum for molecules in solution

Shuichi Kinoshita

Theory based on a configuration coordinate model is presented to clarify solute–solvent relaxation effect on the line shape of a time-resolved hole-burning spectrum. The time-resolved hole-burning spectrum is affected by both a hole created in a ground-state population and an excess excited-state population. The solute–solvent relaxation causes thermalization in both populations and then the shift and broadening of the spectrum is expected observable. The line shapes of three typical cases are mainly considered: (1) The excited state is assumed to have an infinitely long lifetime; (2) the excited state has a finite lifetime, the population being assumed to relax toward an electronic state other than the ground state, and (3) the population created in the excited state relaxes to the ground state, where a hole-filling effect is taken into account. Results obtained by numerical calculations show that a time evolution of the ground-state hole is clearly observed when the low-energy tail of the absorption band is excited under the condition that the population decay to the other electronic state is very fast. Further, it is predicted that the hole-filling effect causes a considerable deformation of the spectral shape when the solvent relaxation rate is comparable to the excited-state population decay rate.

The Journal of Chemical Physics•Nov 1, 1989•60 citations

Spectral hole burning in dye solutions

Gerard A. Mourou

Using picopulses generated by a mode-locked ruby laser, we have measured the 3-8-Å bandwidth of a hole burned in the 0-0 transition of cryptocyanine in methanol and demonstrated the inhomogeneous chatacter of this transition. The population-rate equations are written for an inhomogeneous transition with two and four energy levels interacting with continuous or pulsed excitation. Using the numerical solutions of this model together with the experimental result we determine a transverse relaxation timeT_{2} = 0.6-1ps for cryptocyanine in methanol.

IEEE Journal of Quantum Electronics•Jan 1, 1975•45 citations

Limitations on measuring solvent motion with ultrafast transient hole burning

Tai Jong Kang, Jongwan Yu, Mark A. Berg

A number of limitations to hole burning in the liquid phase are identified. As spectral diffusion becomes more rapid, a point is reached where the narrowest hole width no longer measures the homogeneous linewidth. Spectral congestion of the solute is also shown to limit the fastest detectable spectral diffusion rate. An optimal pulse length is found which allows observation of the most rapid spectral diffusion. In addition, the coherence effect observed when the pulses overlap is shown to have resonances at both the excited and ground state vibrational spacings. The coherence effect greatly resembles the hole burning spectrum, but contains no dynamical information. Because of these limitations, hole burning may not be observed even when the homogeneous spectrum is well resolved and spectral diffusion is slow. Experimental confirmation is found in the hole burning spectrum of iodine in hexane, which shows no hole burning despite having a narrow homogeneous linewidth.

The Journal of Chemical Physics•Feb 15, 1991•53 citations

Research of hole width and depth on laser duration in spectral hole burning

Quan Shan

With the transient solutions of optical Bloch equation the dependences of hole width and depth on the burning pulse duration have been discussed in spectral hole burning of two level system.With a strong and short π pulse ,a deep hole can be burnt mode which width is much narrower than the steady state one predicted by optical bloch equation safficient.

Shenyang Gongye Daxue xuebao•Jan 1, 2001•0 citations

The Shape of a Spectral Hole and Its Temporal Response at Short Burning Times in Two‐, Three,‐ and Four‐Level Systems

Inna Rebane

Abstract The shape of the spectral hole in an inhomogeneous distribution function of centres over the transition frequency is calculated for the case of a quasimonochromatic burning light pulse which characteristic duration time is comparable to the relaxation times of the excited electronic level. Two‐step spectral hole‐burning in the cases of three‐ and four‐level systems as well as one‐step processes are considered. The temporal responses of the spectral holes as spectral filters on δ‐pulse of light are found.

physica status solidi (b)•Sep 1, 1991•4 citations

Analysis on width of burning hole in inhomogeneously broadened laser medium

Geguo Du

A detailed calculation about width of the burning hole in saturation behavior of inhomogeneously broadened laser medium is presented.The width of the burning hole is determined by the linewidth of homogeneous broadening because of the finite lifetime of the excited state due to spontaneous emission.

College Physics•Jan 1, 2005•1 citation
A theoretical model is developed here which describes the evolution of hole burning in solutions when the pulse duration is assumed to be longer than the transverse relaxation time T2. The double influence of T2 on the width of the initial hole and also on the transient nature of this hole is observed. A comparison of these results with some experimental measurements is performed.
Theory based on a configuration coordinate model is presented to clarify solute–solvent relaxation effect on the line shape of a time-resolved hole-burning spectrum. The time-resolved hole-burning spectrum is affected by both a hole created in a ground-state population and an excess excited-state population. The solute–solvent relaxation causes thermalization in both populations and then the shift and broadening of the spectrum is expected observable. The line shapes of three typical cases are mainly considered: (1) The excited state is assumed to have an infinitely long lifetime; (2) the excited state has a finite lifetime, the population being assumed to relax toward an electronic state other than the ground state, and (3) the population created in the excited state relaxes to the ground state, where a hole-filling effect is taken into account. Results obtained by numerical calculations show that a time evolution of the ground-state hole is clearly observed when the low-energy tail of the absorption band is excited under the condition that the population decay to the other electronic state is very fast. Further, it is predicted that the hole-filling effect causes a considerable deformation of the spectral shape when the solvent relaxation rate is comparable to the excited-state population decay rate.
Using picopulses generated by a mode-locked ruby laser, we have measured the 3-8-Å bandwidth of a hole burned in the 0-0 transition of cryptocyanine in methanol and demonstrated the inhomogeneous chatacter of this transition. The population-rate equations are written for an inhomogeneous transition with two and four energy levels interacting with continuous or pulsed excitation. Using the numerical solutions of this model together with the experimental result we determine a transverse relaxation timeT_{2} = 0.6-1ps for cryptocyanine in methanol.
A number of limitations to hole burning in the liquid phase are identified. As spectral diffusion becomes more rapid, a point is reached where the narrowest hole width no longer measures the homogeneous linewidth. Spectral congestion of the solute is also shown to limit the fastest detectable spectral diffusion rate. An optimal pulse length is found which allows observation of the most rapid spectral diffusion. In addition, the coherence effect observed when the pulses overlap is shown to have resonances at both the excited and ground state vibrational spacings. The coherence effect greatly resembles the hole burning spectrum, but contains no dynamical information. Because of these limitations, hole burning may not be observed even when the homogeneous spectrum is well resolved and spectral diffusion is slow. Experimental confirmation is found in the hole burning spectrum of iodine in hexane, which shows no hole burning despite having a narrow homogeneous linewidth.
Abstract The shape of the spectral hole in an inhomogeneous distribution function of centres over the transition frequency is calculated for the case of a quasimonochromatic burning light pulse which characteristic duration time is comparable to the relaxation times of the excited electronic level. Two‐step spectral hole‐burning in the cases of three‐ and four‐level systems as well as one‐step processes are considered. The temporal responses of the spectral holes as spectral filters on δ‐pulse of light are found.