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Title: Closed-form expressions for the gain in three- and four-level laser fibers

Abstract

Exact and approximate theoretical models of the small-signal single-pass gain in single-mode three-level laser fibers are presented, relevant to the behavior of rare-earth-doped (in particular Er{sup 3+}) silica-based fibers. These models account for the effects of both the pump and signal-mode structures and pump excited-state absorption (ESA), the latter being present for some pump wavelengths in Er-doped silica fibers. By relying on the modal overlap integral formalism introduced earlier for four-level lasers, relatively simple closed-form expressions for the pump absorption and the gain are derived. These expressions are also applicable to four-level laser fibers by a simple adjustment of some of the model parameters.

Authors:
 [1]
  1. Edward L. Ginzton Lab., W.W. Hansen Lab. of Physics, Stanford Univ., Stanford, CA (US)
Publication Date:
OSTI Identifier:
5771616
Resource Type:
Journal Article
Journal Name:
IEEE Journal of Quantum Electronics (Institute of Electrical and Electronics Engineers); (USA)
Additional Journal Information:
Journal Volume: 26:10; Journal ID: ISSN 0018-9197
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; SOLID STATE LASERS; GAIN; CRYSTAL DOPING; ENERGY ABSORPTION; EQUATIONS; FIBERS; INTEGRALS; OPTICAL PUMPING; RARE EARTHS; ABSORPTION; AMPLIFICATION; ELEMENTS; LASERS; METALS; PUMPING; 426002* - Engineering- Lasers & Masers- (1990-)

Citation Formats

Digonnet, M J.F. Closed-form expressions for the gain in three- and four-level laser fibers. United States: N. p., 1990. Web. doi:10.1109/3.60903.
Digonnet, M J.F. Closed-form expressions for the gain in three- and four-level laser fibers. United States. https://doi.org/10.1109/3.60903
Digonnet, M J.F. 1990. "Closed-form expressions for the gain in three- and four-level laser fibers". United States. https://doi.org/10.1109/3.60903.
@article{osti_5771616,
title = {Closed-form expressions for the gain in three- and four-level laser fibers},
author = {Digonnet, M J.F.},
abstractNote = {Exact and approximate theoretical models of the small-signal single-pass gain in single-mode three-level laser fibers are presented, relevant to the behavior of rare-earth-doped (in particular Er{sup 3+}) silica-based fibers. These models account for the effects of both the pump and signal-mode structures and pump excited-state absorption (ESA), the latter being present for some pump wavelengths in Er-doped silica fibers. By relying on the modal overlap integral formalism introduced earlier for four-level lasers, relatively simple closed-form expressions for the pump absorption and the gain are derived. These expressions are also applicable to four-level laser fibers by a simple adjustment of some of the model parameters.},
doi = {10.1109/3.60903},
url = {https://www.osti.gov/biblio/5771616}, journal = {IEEE Journal of Quantum Electronics (Institute of Electrical and Electronics Engineers); (USA)},
issn = {0018-9197},
number = ,
volume = 26:10,
place = {United States},
year = {Mon Oct 01 00:00:00 EDT 1990},
month = {Mon Oct 01 00:00:00 EDT 1990}
}