The influence of the retarded part of Coulomb interaction between particles on the self-induced transparency phenomenon is considered. This type of interaction is taken into account by introducing an effective dipole moment of a n atom. Expressions for pulse area, absorption coefficient, and macroscopic medium polarization are derived. The area theorem is extended to include the retarded interaction. Estimates of the dipole moment and pulse delay are obtained. It is shown that the above parameters are substantially influenced by inhomogeneous broadening by the medium and the active centre concentration therein.Es wird der EinfluB des retardierten Anteils der Coulombwechselwirkung zwischen Teilchen auf die Phanomene der selbstinduzierten Transparenz untersucht. Diese Art der Wechselwirkung wird durch Einfiihrung eines effektiven Dipolmoments eines Atoms beriicksichtigt. Ausdriicke fur Impulsflache, Absorptionskoeffizient und Polarisierung des makroskopischen Mediums werden abgeleitet. Das Flachentheorem wird erweitert und schliel3t nun retardierte Wechselwirkung ein. Es werden Berechnungen des Dipolmoments und der Impulsverzogerung durchgefuhrt. Dabei wird gezeigt, daB diese Parameter infolge inhomogener Verbreiterung durch das Medium und die Konzentration der darin befindlichen aktiven Zentren wesentlich beeinfluBt werden.
IndroductionAS follows from [l to 31, the retarded interaction between the particles which interact in resonance with supershort laser pulses, is rather significant in media with sufficiently high particle concentration and large inhomogeneous broadening of spectral lines. I n particular, just this type of interaction, which is determined by electron and positron polarizations [3], causes a decrease in light echo intensity a t a certain "critical" concentration level, while a t lower concentrations the photon echo intensity increases as the square of the particle number.As far as the self-induced transparency (SIT), like a photon echo phenomenon, is the result of impurity centre excitation into collective (coherent) states, it is but natural to expect that the retarded interaction would also influence phenomena of this kind.The present work is an attempt to solve this problem. As it is shown below, in some cases the constants obtained by the comparison of experimental SIT data with those of generally accepted theories, which do not account for the retarded interaction
TheoryLet us assume that a coherent pulse with frequency w interacts with N fixed twolevel centres. Also, hw == hw,, = e2 -el, where el,?; is the energy of the ground and excited state of an individual particle, respectively. If the electron polarization is t o be considered only, then the interaction Hrcmiltonian of the i-th atom with the radia-31 phyrica (b) 92!2