Numerical calculation of the mode structure of the superradiant emission in a long cylinder
Abstract
A numerical solution is obtained to a spectral problem for a matrix describing the interaction of atoms across a radiation field. The analysis is carried out for a long cylinder with a Fresnel number much smaller than unity. The corresponding eigenvalues and eigenvectors are determined and are used to analyze the mode structure of the excited superradiant emission. The superradiant field is composed, at any moment of time, of two or three of the strongest modes that are statistically independent of each other. Each of these normal modes is of a complex spatialtemporal structure, which consists of three or four coherent plane waves, one or two of which have a much higher amplitude than the remaining ones.
 Publication:

Moskovskii Universitet Vestnik Seriia Fizika Astronomiia
 Pub Date:
 October 1980
 Bibcode:
 1980MVSFA..21...90B
 Keywords:

 Coherent Electromagnetic Radiation;
 Population Inversion;
 Propagation Modes;
 Resonance Fluorescence;
 Spontaneous Emission;
 Atoms;
 Eigenvalues;
 Matrices (Mathematics);
 Particle Interactions;
 Plane Waves;
 Lasers and Masers