# Semiclassical theory of injected lasers with arbitrary stable and unstable resonators. Doctoral thesis

## Abstract

A semiclassical analysis of injected lasers with stable and unstable resonators and arbitrary outcoupling fractions was performed. Homogeneously broadened lasers with Fabry-Perot and with positive branch, confocal unstable resonators were modeled. Both time-dependent and steady-state analyses of free-running and injected lasers were performed. Because of deficiencies in the standing-wave semiclassical and the simple saturable gain models, a new semiclassical theory of homogeneously broadened lasers were developed. The theory is predicted upon the following assumptions: the atoms are two-level, a single longitudinal mode exists in the cavity, the transverse mode structure can be adequately modeled by the geometric optics mode, and the laser electric fields can be described by a pair of counterpropagating planar, cylindrical, or spherical traveling waves with different amplitudes. A general semiclassical theory was first developed, and then specialized to the Fabry-Perot and positive branch, confocal unstable resonator cases. Both the Maxwell-Bloch and rate-equation approximation forms of the theory were derived. The general theory is sufficiently broad to allow the modeling of the geometric optics mode of any standing-wave resonator configuration. The theory was shown to reduce to the simple saturable gain and standing-wave semiclassical models in the appropriate limits. The analysis of the injected lasers was performedmore »

- Authors:

- Publication Date:

- Research Org.:
- Air Force Inst. of Tech., Wright-Patterson AFB, OH (USA). School of Engineering

- OSTI Identifier:
- 5304684

- Report Number(s):
- AD-A-189514/3/XAB; AFIT/DS/PH-76-3

- Resource Type:
- Technical Report

- Resource Relation:
- Other Information: Thesis

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 42 ENGINEERING; LASERS; RESONATORS; SATURATION; STABILITY; STABILIZATION; STANDING WAVES; ELECTRONIC EQUIPMENT; EQUIPMENT; 420300* - Engineering- Lasers- (-1989)

### Citation Formats

```
Rinaldi, S M.
```*Semiclassical theory of injected lasers with arbitrary stable and unstable resonators. Doctoral thesis*. United States: N. p., 1987.
Web.

```
Rinaldi, S M.
```*Semiclassical theory of injected lasers with arbitrary stable and unstable resonators. Doctoral thesis*. United States.

```
Rinaldi, S M. Tue .
"Semiclassical theory of injected lasers with arbitrary stable and unstable resonators. Doctoral thesis". United States.
```

```
@article{osti_5304684,
```

title = {Semiclassical theory of injected lasers with arbitrary stable and unstable resonators. Doctoral thesis},

author = {Rinaldi, S M},

abstractNote = {A semiclassical analysis of injected lasers with stable and unstable resonators and arbitrary outcoupling fractions was performed. Homogeneously broadened lasers with Fabry-Perot and with positive branch, confocal unstable resonators were modeled. Both time-dependent and steady-state analyses of free-running and injected lasers were performed. Because of deficiencies in the standing-wave semiclassical and the simple saturable gain models, a new semiclassical theory of homogeneously broadened lasers were developed. The theory is predicted upon the following assumptions: the atoms are two-level, a single longitudinal mode exists in the cavity, the transverse mode structure can be adequately modeled by the geometric optics mode, and the laser electric fields can be described by a pair of counterpropagating planar, cylindrical, or spherical traveling waves with different amplitudes. A general semiclassical theory was first developed, and then specialized to the Fabry-Perot and positive branch, confocal unstable resonator cases. Both the Maxwell-Bloch and rate-equation approximation forms of the theory were derived. The general theory is sufficiently broad to allow the modeling of the geometric optics mode of any standing-wave resonator configuration. The theory was shown to reduce to the simple saturable gain and standing-wave semiclassical models in the appropriate limits. The analysis of the injected lasers was performed with the new semiclassical theory. Both time-dependent and steady-state analyses were performed.},

doi = {},

url = {https://www.osti.gov/biblio/5304684},
journal = {},

number = ,

volume = ,

place = {United States},

year = {1987},

month = {12}

}