Transverse and Quantum Effects in Light Control by Light; (A) Parallel Beams: Pump Dynamics for Three Level Superfluorescence; and (B) Counterflow Beams: An Algorithm for Transverse, Full Transient Effects in Optical Bi-Stability in a Fabryperot Cavity.
Final rept. Dec 79-31 Jul 83,
POLYTECHNIC INST OF NEW YORK BROOKLYN DEPT OF MECHANICAL AND AEROSPACE ENGINEERING
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Computational methodologies were developed to treat rigorously 1 transverse boundary in an inverted amplifying media 2 to treat quantum fluctuations in an initial boundary condition in the light-matter interactions problem 3 construct a two-laser three-level code to study light control by light effect 4 construction of a data base that a would manage the production of different types of laser calcualtions cylindrical, cylindrical with atomic frequency broadening, cartesian geometry all of the above with quantum mechanical initiation, b allow parametric comparison within the same type of calculations, by establishing a unifying protocol of software storage, of the various refinements of the model could be contrasted among themselves and with experiment 5 construct an algorithm for counterbeam transient studies for optical bistability and optical oscillator studies. A Transverse propagation effects in an inverted medium were studied. Special care had to be taken to treat the boundary reflection conditions. If ill-posed, they can obscure the emergence of any new physical results. The two transverse effects considered are 1 the spatial averaging associated with the inial atomic inversion density being radially dependent since the pump which inverts the sample has typically a Gaussian-like profile and 2 the diffraction coupling which permits the various parts of the cylindrical cross-section to communicate, interact and emit at the same time. The first effect is important for large Fresnel numbers, whereas the second predominant for small Fresnel numbers.
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