Steady propagation of pulses in resonant media
Abstract
Steady propagation of radiation pulses in a resonant medium is investigated in the slowly varying envelope approximation on the assumption that the pulse duration is shorter than the relaxation time of the resonant atoms. Firstorder coupled differential equations for the variables of the medium, the pulse amplitude, and the phase functions are obtained and solved exactly for the 'noloss' case. For a lossy medium, two types of steadypulse solution are determined by the perturbation method. The first of these corresponds to an exactly resonant chirped pi pulse with an arbitrary duration greater than some critical value and an arbitrarily small asymmetry; the second is a chirped 2 pi pulse of arbitrary detuning and duration and with a small asymmetry that depends on the detuning and pulse duration. It is shown that such pi pulses exist only in an inverted medium.
 Publication:

Nuovo Cimento B Serie
 Pub Date:
 June 1979
 DOI:
 10.1007/BF02743438
 Bibcode:
 1979NCimB..51..291P
 Keywords:

 Optical Resonance;
 Pulse Communication;
 Pulse Duration;
 Pulsed Radiation;
 Approximation;
 Differential Equations;
 Energy Dissipation;
 Frequency Response;
 Group Velocity;
 Pulse Amplitude;
 Relaxation Time;
 Steady State;
 Communications and Radar