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Molecular crystals and liquid crystals science technology. Section A, Molecular crystals and liquid crystals/Molecular crystals and liquid crystals science and technology. Section A, Molecular crystals and liquid crystals

Theory of One- and Two-Step Pulsed Spectral Hole Burning

Inna Rebane

Published Oct 1, 1993• 0 citations
Publisher

Abstract

A theory of spectral hole burning (SHB) by light pulses of an arbitrary shape and duration is proposed. One- and two-step (photon-gated) SHB processes induced by laser pulses in two-, three- and four-level systems are theoretically considered. It is shown that for two-step SHB there exists a possibility of obtaining spectral holes which are narrower than in the one-step SHB with monochromatic light. In case of one- and two-step SHB the dependence of the shape of the hole on the duration of the burning pulse is considered (on two-step SHB the second pulse is Δ-pulse).

DOI
10.1080/10587259308055208

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Theory of Two‐Step Spectral Hole Burning by Pulses

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Abstract A two‐step spectral hole burning (SHB) is considered, where the selective excitation of the first step is fixed by a photochemical transformation through the second excitation step. It is shown that in a three‐level system excited by two consecutive pulses, the kinetics of the forming spectral hole differs essentially from the one on stationary irradiation. In the case of a short second pulse the shape of the hole in the inhomogeneous distribution function (IDF) of the purely electronic line frequency Ω01 is dependent on the time interval T between the first and second excitation steps and under certain conditions a hole can be obtained which is narrower than in the one‐step SHB with monochromatic light. It is considered how the hole in IDF is manifested in the absorption and two‐step pulse excitation spectra. It is shown that the hole in the absorption spectrum may be narrower than 2γ1 and in the two‐step pulse excitation, −γ1 (γ1 is the energy relaxation constant of the first excited level).

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One-step (0 to 1) spectral hole burning (SHB) is widely used as a method of eliminating inhomogeneous broadening of spectra: the minimal width of the hole in the inhomogeneous distribution function (IDF) of the transition frequency Omega 01 is obtained by SHB with monochromatic light and is determined by the homogeneous linewidth sigma 0 = gamma 1 + Gamma (where gamma 1 and Gamma are the constants of the energetic and the phase relaxation of the (first) excited level respectively). Two-step (0 to 1 to 2) SHB is considered where the selective excitation of the first step is fixed by a photochemical transformation through the second excitation step. If the selective pulse is a coherent and single-sided exponential then, in the case of an extremely short fixing pulse ( delta pulse), on the increase of the time delay T between the selective and fixing pulses, a monotonic narrowing of the spectral hole in the IDF of the frequency Omega 01 takes place up to the limit width Gamma + mod gamma 1 - Delta mod (where Delta is the spectral width of the selective pulse).

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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.

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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.

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Spatial Resolution of Spectral Hole-Burning-Based Information Storage

Inna Rebane, Jaak Kikas

In the proposed 4D (3 spatial an 1 frequency dimension) optical memories two-or three-step spectral hole burning (SHB) by two or three light beams is used [1]. In 3D (2 spatial and 1 frequency dimension) optical memories a non-erasing readout is realized by two- step (photon-gated (PG)) SHB. Here we consider the effects of PG SHB on the spatial storage density in 3D and 4D optical memories.

Spectral Hole-Burning and Related Spectroscopies: Science and Applications•Jan 1, 1992•0 citations
A theory of spectral hole burning (SHB) by light pulses of an arbitrary shape and duration is proposed. One- and two-step (photon-gated) SHB processes induced by laser pulses in two-, three- and four-level systems are theoretically considered. It is shown that for two-step SHB there exists a possibility of obtaining spectral holes which are narrower than in the one-step SHB with monochromatic light. In case of one- and two-step SHB the dependence of the shape of the hole on the duration of the burning pulse is considered (on two-step SHB the second pulse is Δ-pulse).
Abstract A two‐step spectral hole burning (SHB) is considered, where the selective excitation of the first step is fixed by a photochemical transformation through the second excitation step. It is shown that in a three‐level system excited by two consecutive pulses, the kinetics of the forming spectral hole differs essentially from the one on stationary irradiation. In the case of a short second pulse the shape of the hole in the inhomogeneous distribution function (IDF) of the purely electronic line frequency Ω01 is dependent on the time interval T between the first and second excitation steps and under certain conditions a hole can be obtained which is narrower than in the one‐step SHB with monochromatic light. It is considered how the hole in IDF is manifested in the absorption and two‐step pulse excitation spectra. It is shown that the hole in the absorption spectrum may be narrower than 2γ1 and in the two‐step pulse excitation, −γ1 (γ1 is the energy relaxation constant of the first excited level).
One-step (0 to 1) spectral hole burning (SHB) is widely used as a method of eliminating inhomogeneous broadening of spectra: the minimal width of the hole in the inhomogeneous distribution function (IDF) of the transition frequency Omega 01 is obtained by SHB with monochromatic light and is determined by the homogeneous linewidth sigma 0 = gamma 1 + Gamma (where gamma 1 and Gamma are the constants of the energetic and the phase relaxation of the (first) excited level respectively). Two-step (0 to 1 to 2) SHB is considered where the selective excitation of the first step is fixed by a photochemical transformation through the second excitation step. If the selective pulse is a coherent and single-sided exponential then, in the case of an extremely short fixing pulse ( delta pulse), on the increase of the time delay T between the selective and fixing pulses, a monotonic narrowing of the spectral hole in the IDF of the frequency Omega 01 takes place up to the limit width Gamma + mod gamma 1 - Delta mod (where Delta is the spectral width of the selective pulse).
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.
The two-step persistent spectral hole burning (PSHB) of a hole in the inhomogeneous distribution function (IDF) of the optical transition frequencies in a three-level system by two successive light pulses, in the case of an exponentially increasing and decreasing first coherent pulse and an infinitely short second pulse is calculated. The compensation effect of the natural linewidth of the first excited level and the parameter describing the exponential decrease of the intensity of the first burning pulse is shown. The time-dependent zero-phonon line (ZPL) in luminescence spectrum in the recording scheme containing the time gate in front of the spectrometer with high resolution in the case of exponential opening and closing of the time gate is calculated. The effect of the compensation of the natural linewidth of the excited level and the parameter describing the exponential increase of the transparency of the time gate is shown.