Author

Author Type

Graduate Student

Date of Award

1984

Document Type

Thesis

Publication Status

Version of Record

Submission Date

October 2026

Abstract

Inverse scattering techniques are used to investigate the propagation in an amplifier of a coherent optical pulse whose initial profile is a left-truncated hyperbolic secant of area A such that 0< A< 4pi. A two-level nondegenerate medium is assumed and dissipative effects are neglected. In the limit of extreme inhomogeneous broadening, the exact solution for the pulse is obtained, and it is found to evolve into a pi-pulse (for A< 2pi) at the light cone which exhibits the expected amplification and compression, and (for 2pi< A<.... 4pi) the above Ti-pulse plus a phase-shifted 2pi soliton of lesser velocity whose amplitude and width is related to a zero of the transmission coefficient in the associated scattering problem. This final area of 3pi is in agreement with the area theorem of McCall and Hahn.

Extent

89 p.

Comments

Thesis (M.S.)--Florida Atlantic University, 1984.|Thesis (M.S.)--Florida Atlantic University, 1984.

Identifier

FADT14195

Format

pdf

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