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Physical Review A

Investigation of Pulse Delay in Self-Induced Transparency

C. K. N. Patel

Published Apr 1, 1970• 30 citations
Publisher

Abstract

This paper gives the details of pulse delay in self-induced transparency in S${\mathrm{F}}_{6}$ with a C${\mathrm{O}}_{2}$ laser at 10.5915 \ensuremath{\mu}. Results show that the propagation of intense C${\mathrm{O}}_{2}$ laser pulses in S${\mathrm{F}}_{6}$ can be described by self-induced transparency.

DOI
10.1103/physreva.1.979

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Effect of Resonant Collisions on the Propagation of a Self-Induced Transparency Pulse in SF6

C. H. Wang

Effect of the SF6 pressure on self-induced transparency (SIT) in SF6 was investigated systematically. The study consists of measuring the shape, width, delay time, and intensity of the transmitted pulse (which is a SIT pulse at low SF6 pressure) as a function of SF6 pressure P. The SIT pulse was induced by the nonlinear interaction of a 20-nsec P(20) CO2 laser pulse with the SF6. A theory which includes the homogeneous broadening mechanism was developed for the pulse delay time. For a stationary propagating pulse, it was found that the pulse delay time is related nonlinearly to Q (the ratio of the transiently energy stored energy density to the rate of change of the energy flux density of the field). From the interpretation of the experimental results, it was concluded that, for P>100 μ, the SF6-SF6 resonant collision makes a significant contribution to the departure from SIT. The effect of level degeneracies associated with the high angular momentum of the involved resonant vibrational states is also discussed.

The Journal of Chemical Physics•May 1, 1972•2 citations
This paper gives the details of pulse delay in self-induced transparency in SF6{\mathrm{F}}_{6}F6​ with a CO2{\mathrm{O}}_{2}O2​ laser at 10.5915 \ensuremath{\mu}. Results show that the propagation of intense CO2{\mathrm{O}}_{2}O2​ laser pulses in SF6{\mathrm{F}}_{6}F6​ can be described by self-induced transparency.
Pulse propagation in SF6{\mathrm{F}}_{6}F6​ has been investigated using 200-nsec pulses of a CO2{\mathrm{O}}_{2}O2​ laser. Operating at $\ensuremath{\lambda}=10.53$ \ensuremath{\mu}m (P14P14P14 transition) we have observed a breakup of the pulse envelope, an oscillatory energy transmission, and an energy-dependent pulse delay. We interpret our data in terms of the existing theory of self-induced transparency; the corresponding Bloch-type equations were derived assuming thermal equilibrium between rotational MMM sublevels.
We have investigated the self-induced transparency effect in ruby over a range of input energies which range from linear absorption to full transparency. The transmission, pulse delay, and pulse broadening were studied as a function of input energy. The transition region is narrower than that found in similar studies of the CO2{\mathrm{O}}_{2}O2​/SF6{\mathrm{F}}_{6}F6​ system; this is consistent with predictions based on ensembles of two-level systems. Included are the first pulse-delay and pulse-broadening curves to be obtained for the ruby system.
Strong and short coherent pulses of electromagnetic radiation propagate through extended absorbing media with anomalously low absorption, they are delayed and reshaped. This article presents experimental results and calculations for propagation of 10.6-\ensuremath{\mu} wavelength pulses through gaseous SF6{\mathrm{F}}_{6}F6​. The degeneracy of overlapping levels of SF6{\mathrm{F}}_{6}F6​ in that spectral region is important, and enables us to use a simple model to describe observed phenomena. We assume a continuous distribution of dipole moments. Results are particularly interesting in two regimes of excitation. One corresponds to very strong excitation and \ensuremath{\sim}20 absorption lengths in the medium: Pulses sharpen at their leading edge, while their front part gets absorbed. The other pertains to much lower excitation and only 2 absorption lengths: Reradiation can be distinguished and long delays result which qualitatively resemble the behavior of a two-level system in self-induced transparency. Fairly conclusive agreement is obtained between a previous theoretical treatment of a homogeneously broadened multilevel medium and experiment. The agreement is substantiated by computer calculations. In three Appendixes we present the observation of focusing effects, the theory of an experiment related to transient nutation, and some remarks on photon-echo polarization experiments in optically thick media.
Effect of the SF6 pressure on self-induced transparency (SIT) in SF6 was investigated systematically. The study consists of measuring the shape, width, delay time, and intensity of the transmitted pulse (which is a SIT pulse at low SF6 pressure) as a function of SF6 pressure P. The SIT pulse was induced by the nonlinear interaction of a 20-nsec P(20) CO2 laser pulse with the SF6. A theory which includes the homogeneous broadening mechanism was developed for the pulse delay time. For a stationary propagating pulse, it was found that the pulse delay time is related nonlinearly to Q (the ratio of the transiently energy stored energy density to the rate of change of the energy flux density of the field). From the interpretation of the experimental results, it was concluded that, for P>100 μ, the SF6-SF6 resonant collision makes a significant contribution to the departure from SIT. The effect of level degeneracies associated with the high angular momentum of the involved resonant vibrational states is also discussed.