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Applied Physics Letters

Photon echo optical pulse compression

Yu Bai, THOMAS W. MOSSBERG

Published Dec 15, 1984• 15 citations
Publisher

Abstract

It is predicted that linearly chirped optical excitation pulses give rise to photon echoes whose shortness is limited only by the total material bandwidth that contributes to the echo signal. The photon echo process acts as a frequency-dependent optical delay line whose dispersion is determined by the chirp rate of the excitation pulses rather than by their bandwidth. Consequently, long and short pulses can be compressed with equal facility without complicated alignment procedure. Accumulated echoes have similar properties and can be used with trains of weak excitation pulses.

DOI
10.1063/1.95122

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Experimental studies of photon-echo pulse compression

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Photon echoes generated by long (i.e., 400–800-nsec) frequency-chirped optical pulses are found to possess (after compensating for avoidable material relaxation) up to 25% of the energy of the first excitation pulse and to have a duration determined by the total chirp bandwidth of the excitation pulses. In our experiment, echoes 30 times shorter than the first excitation pulse were observed.

Optics Letters•Jan 1, 1986•26 citations

Photon echo optical pulse compression

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Because of their importance in the compressions1 of linearly chirped optical pulses, frequency-dependent Optical delay lines have been the subject of considerable recent interest. In this paper, we discuss use of the photon echo process as a dispersive delay mechanism.

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Single pulse compression and multi-bit pulse compression using the photon echo process was investigated.A single pulse could be compressed by a factor of 454 from 10 microseconds to 22 nanoseconds.A 1 O-bits pulse train was compressed by a factor of 92 from 20 microseconds in total length to 212 nanoseconds.The compression factors obtained during this work were an order of magnitude better than those published previously both for single pulse and multi-bit pulse train compression.Observation of the side-band under the envelope of the photon echo signal in multi-bit pulse compression indicates that the bit information is retained in the compression.Some improvements were achieved by optimising the experimental setup during the work.The experimental results were discussed theoretically and were good in agreement with theoretical calculations.The space-time duality of photon echo compression was also analysed in this thesis.The storage material used in the experiment is a Y AG crystal doped with the trivalent rare earth thulium ion with a concentration at 0.1-at.%.The crystal was kept at 4K during the experiment.The absorption, an important characteristic of the crystal was initially measured.The maximum absorption was about 40%, in the range between 7931.50A and 7931.60A with a full width ofhalfmaximum of3.5 A, which corresponds to 19 GHz.A homemade external cavity diode laser equipped with an intra-high coherency and ultrahigh-speed frequency chirping properties was used in the experiments.This system with an intra-cavity electro-optic crystal (EOC) was employed for the optical data compression because of its advantages of simplicity, high quantum efficiency, low cost, and compact size, which is necessary for practical applications in the future.Some critical properties for this laser were investigated.The laser line-width was measured to be 350 KHz over a 200 microseconds duration using the spectral hole burning method and a voltage-chirping rate of about 7 MHz/V was determined by calculations and experimental measurements.

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The role of weakly chirped pulses (time bandwidth product, DeltanuDeltatau<0.61) on three-pulse photon echo signals has been systematically studied. Pulses with varying chirp were characterized with frequency resolved optical gating (FROG) and used to measure spectrally resolved three-pulse photon echoes of a dye in solution. The weakly chirped pulses give rise to markedly different echo signals for population times below approximately 100 fs. The chirped pulses can decrease or enhance spectral signatures of an excited state absorption transition in the echo signal. Furthermore, the observed dephasing dynamics depend on the phase of the electric fields. Simulations based on a three-level model and the electric fields retrieved from the FROG traces give a good agreement for photon echo experiments with both transform limited and chirped pulses. The simulations also allow for a numerical investigation of effects of chirp in two-dimensional spectroscopy. For a two-level system, the chirped pulses result in nonelliptical two-dimensional spectra that can erroneously be interpreted as spectral heterogeneity with frequency dependent dephasing dynamics. Furthermore, chirped pulses can give rise to "false" cross peaks when strong vibrational modes are involved in the system-bath interaction.

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Excitation of photon echo by noise pulses

Баруздин Сергей Анатольевич

The excitation of photon echo by noise pulses that are formed by modulation of the carrying frequency with Gauss noise is modeled. The modeling is based on optical Bloch equations the solution of which for noise pulse realizations is constructed by their stepwise approximation. In terms of the formalism of state transfer matrices, the two- and three-pulse excitation modes are analyzed. The complex envelopes of the primary and stimulated echo responses are determined. In the linear (low-level-signal) mode, the shape of the two-pulse echo corresponds to that of the time delayed and inverted noise pulse. The boundary of the linear mode, upon exceeding of which distortions of the shape of the noise pulse become noticeable, is determined. The shape of the stimulated (three-pulse) echo in the linear mode corresponds to that of the autocorrelation function of the noise pulse realization. Upon passage beyond the boundary of the linear mode, the shape of the three-pulse echo corresponds either to the cross-correlation function of distorted noise pulses (with different intensities) or to the autocorrelation function of distorted pulses (with the same intensities). The modeled photon echo excitation modes can be used in photon echo processors to process signals in the light range.

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Photon echo spectroscopy in the single optical-cycle regime

Maxim S. Pshenichnikov, Andrius Baltuška, D. A. Wiersma

Summary form only given. A very high temporal resolution and a broad bandwidth are but two advantages provided by the use of extremely short sub-5-fs pulses in a nonlinear spectroscopic experiment. However, the applicability of the standard theoretical description becomes questionable for the pulses that consist merely of a couple of optical oscillations. Far instance, the conventionally employed slowly varying envelope approximation, implying that the change of the pulse amplitude on the duration of an optical cycle is negligible compared to the magnitude of the amplitude itself, can no longer be maintained. Furthermore, the phase-matching bandwidth that is limited due to dispersion in the nonlinear medium rapidly gains importance with the increase of the spectral width of the pulse. Another point of serious concern is the frequency-dependent variation in the sensitivity of signal photodetectors. In combination, these features result in what is known as a spectral-filter effect. Finally, artificial lengthening of the experimental transients is a direct consequence of the noncollinear geometry employed in spectroscopic experiments. We present a theoretical analysis which thoroughly reexamines the formalism of ultrafast photon echo spectroscopy. We obtain a general expression for the echo signal, which is valid even for single-cycle-pulse applications. The derived formalism is applied to photon-echo spectroscopy on the hydrated electron with 5-fs pulses.

Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference (CLEO/Europe-EQEC)•Nov 11, 2002•0 citations
It is predicted that linearly chirped optical excitation pulses give rise to photon echoes whose shortness is limited only by the total material bandwidth that contributes to the echo signal. The photon echo process acts as a frequency-dependent optical delay line whose dispersion is determined by the chirp rate of the excitation pulses rather than by their bandwidth. Consequently, long and short pulses can be compressed with equal facility without complicated alignment procedure. Accumulated echoes have similar properties and can be used with trains of weak excitation pulses.
Single pulse compression and multi-bit pulse compression using the photon echo process was investigated.A single pulse could be compressed by a factor of 454 from 10 microseconds to 22 nanoseconds.A 1 O-bits pulse train was compressed by a factor of 92 from 20 microseconds in total length to 212 nanoseconds.The compression factors obtained during this work were an order of magnitude better than those published previously both for single pulse and multi-bit pulse train compression.Observation of the side-band under the envelope of the photon echo signal in multi-bit pulse compression indicates that the bit information is retained in the compression.Some improvements were achieved by optimising the experimental setup during the work.The experimental results were discussed theoretically and were good in agreement with theoretical calculations.The space-time duality of photon echo compression was also analysed in this thesis.The storage material used in the experiment is a Y AG crystal doped with the trivalent rare earth thulium ion with a concentration at 0.1-at.%.The crystal was kept at 4K during the experiment.The absorption, an important characteristic of the crystal was initially measured.The maximum absorption was about 40%, in the range between 7931.50A and 7931.60A with a full width ofhalfmaximum of3.5 A, which corresponds to 19 GHz.A homemade external cavity diode laser equipped with an intra-high coherency and ultrahigh-speed frequency chirping properties was used in the experiments.This system with an intra-cavity electro-optic crystal (EOC) was employed for the optical data compression because of its advantages of simplicity, high quantum efficiency, low cost, and compact size, which is necessary for practical applications in the future.Some critical properties for this laser were investigated.The laser line-width was measured to be 350 KHz over a 200 microseconds duration using the spectral hole burning method and a voltage-chirping rate of about 7 MHz/V was determined by calculations and experimental measurements.
The role of weakly chirped pulses (time bandwidth product, DeltanuDeltatau<0.61) on three-pulse photon echo signals has been systematically studied. Pulses with varying chirp were characterized with frequency resolved optical gating (FROG) and used to measure spectrally resolved three-pulse photon echoes of a dye in solution. The weakly chirped pulses give rise to markedly different echo signals for population times below approximately 100 fs. The chirped pulses can decrease or enhance spectral signatures of an excited state absorption transition in the echo signal. Furthermore, the observed dephasing dynamics depend on the phase of the electric fields. Simulations based on a three-level model and the electric fields retrieved from the FROG traces give a good agreement for photon echo experiments with both transform limited and chirped pulses. The simulations also allow for a numerical investigation of effects of chirp in two-dimensional spectroscopy. For a two-level system, the chirped pulses result in nonelliptical two-dimensional spectra that can erroneously be interpreted as spectral heterogeneity with frequency dependent dephasing dynamics. Furthermore, chirped pulses can give rise to "false" cross peaks when strong vibrational modes are involved in the system-bath interaction.
The excitation of photon echo by noise pulses that are formed by modulation of the carrying frequency with Gauss noise is modeled. The modeling is based on optical Bloch equations the solution of which for noise pulse realizations is constructed by their stepwise approximation. In terms of the formalism of state transfer matrices, the two- and three-pulse excitation modes are analyzed. The complex envelopes of the primary and stimulated echo responses are determined. In the linear (low-level-signal) mode, the shape of the two-pulse echo corresponds to that of the time delayed and inverted noise pulse. The boundary of the linear mode, upon exceeding of which distortions of the shape of the noise pulse become noticeable, is determined. The shape of the stimulated (three-pulse) echo in the linear mode corresponds to that of the autocorrelation function of the noise pulse realization. Upon passage beyond the boundary of the linear mode, the shape of the three-pulse echo corresponds either to the cross-correlation function of distorted noise pulses (with different intensities) or to the autocorrelation function of distorted pulses (with the same intensities). The modeled photon echo excitation modes can be used in photon echo processors to process signals in the light range.
Summary form only given. A very high temporal resolution and a broad bandwidth are but two advantages provided by the use of extremely short sub-5-fs pulses in a nonlinear spectroscopic experiment. However, the applicability of the standard theoretical description becomes questionable for the pulses that consist merely of a couple of optical oscillations. Far instance, the conventionally employed slowly varying envelope approximation, implying that the change of the pulse amplitude on the duration of an optical cycle is negligible compared to the magnitude of the amplitude itself, can no longer be maintained. Furthermore, the phase-matching bandwidth that is limited due to dispersion in the nonlinear medium rapidly gains importance with the increase of the spectral width of the pulse. Another point of serious concern is the frequency-dependent variation in the sensitivity of signal photodetectors. In combination, these features result in what is known as a spectral-filter effect. Finally, artificial lengthening of the experimental transients is a direct consequence of the noncollinear geometry employed in spectroscopic experiments. We present a theoretical analysis which thoroughly reexamines the formalism of ultrafast photon echo spectroscopy. We obtain a general expression for the echo signal, which is valid even for single-cycle-pulse applications. The derived formalism is applied to photon-echo spectroscopy on the hydrated electron with 5-fs pulses.