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Conference on Lasers and Electro-Optics

Demonstration of highly efficient photon echoes in absorbing media

Carrie S. Cornish, William Randall Babbitt, Leung Tsang

Published Jan 1, 2000• 0 citations
Publisher

Abstract

Summary form only given. Coherent transients maybe used in a variety of information storage and processing applications with advantages over traditional electronic methods. Recently, it was demonstrated through numerical simulations that highly efficient wave form recall was possible in absorbing media with proper choice of absorption length and brief pulse area. We report experimental results in which greater than 150% waveform recall efficiency was achieved with excellent signal fidelity. In the experiment laser pulses were propagated through a Tm:YAG crystal with an absorption length of 2.8, held at 4.6 K.

DOI
10.1109/cleo.2000.906931

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Summary form only given. Coherent transients maybe used in a variety of information storage and processing applications with advantages over traditional electronic methods. Recently, it was demonstrated through numerical simulations that highly efficient wave form recall was possible in absorbing media with proper choice of absorption length and brief pulse area. We report experimental results in which greater than 150% waveform recall efficiency was achieved with excellent signal fidelity. In the experiment laser pulses were propagated through a Tm:YAG crystal with an absorption length of 2.8, held at 4.6 K.
We have found that highly efficient waveform recall is possible in coherent transient systems in which the storage is optically thick. Coherent transients may be used in a variety of information storage and processing applications with advantages over traditional electronic methods. However, it is believed that a serious problem in application of photon echoes in practical systems is the relatively low efficiency of the process. We show in our numerical studies that waveform recall efficiencies greater than unity can be achieved in absorbing media with appropriate choice of absorption length and brief pulse area, even for very weak data pulses. We also present our preliminary experimental results in Barium vapor in which efficiencies of 50% were obtained for both the stimulated and two-pulse photon echoes.
Highly efficient two-pulse and stimulated photon echoes are experimentally demonstrated in an absorbing medium. Recall efficiencies of 235% and 150% with excellent signal contrast are measured for two-pulse and stimulated photon echoes, respectively, in a Tm:YAG crystal with an absorption length of 3.8. The reported efficiencies do not include any correction for decay or beam profile. We believe that this is the first demonstration of an uncorrected echo efficiency greater than 100% with good signal fidelity in an optically thick medium.
We present the results of analytical and numerical calculations of the amplitude and temporal shape of photon echoes produced in optically thick absorbing media. In particular, we are interested in echo output signals that mimic the temporal shape of one of the input pulses (the data pulse). Echo recall efficiencies of temporally structured data pulses exceeding unity can be obtained in optically thick media while preserving the information content of the data pulse. We find that the relationship between the maximum echo efficiency and the Beer's length at which that maximum is attained is nearly linear. This linear relation holds well beyond the optimal absorption length predicted by linear theory for both two-pulse photon echoes and three-pulse stimulated photon echoes. These results have significance in the development of optical coherent transient memory and processing systems, where previous calculations predicted recall efficiencies of only a few percent.
We derive a method for predicting the efficiency of stimulated photon echoes in optically thick media. Analytic solutions to the Maxwell–Bloch equations are derived for multiple pulse sequences in which the pulses are either temporally brief or have a low pulse area. This method retains the temporal and spatial information of the recalled waveform, and it provides a nonintensive computational method for determining the recall efficiency of stimulated photon echoes. The case considered is when the medium is optically thick and the recall efficiency is high, but with minimal distortion of the data. The results are in good agreement with a full space, time, and frequency numerical integration of the Maxwell–Bloch equations.
We apply for the first time a novel coherent transient, the cw photon echo. The propagation direction of the optical coherence prepared in a medium by a broadband cw laser beam is reversed by a pair of counterpropagating laser pulses, resulting in a continuous emission of the signal. The signal decays with a phase relaxation time T2{\mathrm{T}}_{2}T2​ and can have a quantum-beat-type modulation, giving the same wave form in one single shot as the plot of echo intensity versus pulse separation in a standard two-pulse echo experiment. Experimental demonstration is given in a Eu3+{\mathrm{Eu}}^{3+}Eu3+:YAlO3{\mathrm{YAlO}}_{3}YAlO3​ crystal.