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Abstract:

We discuss the changes in the spectrum of monochromatic modes in a double-cavity laser showing how the characteristic frequencies change from those proper of a short cavity into those proper of a long cavity using as control parameter the reflectivity of an “external” mirror. The problem is cast into the language of bifurcations in a nonlinear eigenvalue problem. The results show that the transition is mostly dictated by the boundary conditions and occurs regardless of the laser model. Hence, the study presented can be extended to other optical cavities and boundary value problems. Limits of validity of simpler double-cavity laser models, such as the Lang-Kobayashi, are drawn. © 1998 The American Physical Society.

Registro:

Documento: Artículo
Título:Metamorphosis of the monochromatic spectrum in a double-cavity laser as a function of the feedback rate
Autor:Duarte, A.A.; Solari, H.G.
Filiación:Departamento de Física, Universidad de Buenos Aires, Buenos Aires, 1428, Argentina
Año:1998
Volumen:58
Número:1
Página de inicio:614
Página de fin:619
DOI: http://dx.doi.org/10.1103/PhysRevA.58.614
Título revista:Physical Review A - Atomic, Molecular, and Optical Physics
Título revista abreviado:Phys Rev A
ISSN:10502947
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v58_n1_p614_Duarte

Referencias:

  • Lang, R., Kobayashi, K., (1980) IEEE J. Quantum Electron., QE-16, p. 347. , IEJQA7
  • Mork, J., Tromborg, B., Christiansen, P.L., (1988) IEEE J. Quantum Electron., QE-24, p. 123. , IEJQA7
  • Fischer, I., van Tartwijk, G.H.M., Levine, A.M., Elsässer, W., Göbel, E., Lenstra, D., (1992) Phys. Rev. Lett., 76, p. 220. , PRLTAO
  • Lenstra, D., Verbeek, B.H., Den Boef, A.J., (1985) IEEE J. Quantum Electron., QE-21, p. 674. , IEJQA7
  • Fischer, I., Hess, O., Elsässer, W., Göbel, E., (1992) Phys. Rev. Lett., 73, p. 2188. , PRLTAO
  • Sacher, J., Baums, D., Pauknin, P., Elsässer, W., Göbel, E.O., (1992) Phys. Rev. A, 45, p. 1893. , PLRAAN
  • External since it is not part of the original laser cavity; Rose, M.H., Lindberg, M., Chow, W.W., Koch, S.W., Sargent, M., III, (1992) Phys. Rev. A, 46, p. 603. , PLRAAN
  • We refer to solutions as “perturbative” in the sense that they are smooth extensions of the unperturbed problem, such solutions are not necessarily obtained with the Rayleigh-Ritz perturbation method; Balle, S., (1995) Opt. Commun., 119, p. 227. , OPCOB8
  • Duarte, A.A., Solari, H.G., (1997) Opt. Commun., 44, p. 99. , OPCOB8
  • For the mathematically inclined readership we add the following: As a consequence of the merging of images, the number of times the preimage circle, (Formula presented), is traveled changes when the image is circulated once, i.e., there are always (Formula presented) turns around (Formula presented) needed to travel once the image of (Formula presented) when this image encloses (Formula presented) images of (Formula presented) (the relation is a consequence of the theorem of complex analysis known as the argument principle)

Citas:

---------- APA ----------
Duarte, A.A. & Solari, H.G. (1998) . Metamorphosis of the monochromatic spectrum in a double-cavity laser as a function of the feedback rate. Physical Review A - Atomic, Molecular, and Optical Physics, 58(1), 614-619.
http://dx.doi.org/10.1103/PhysRevA.58.614
---------- CHICAGO ----------
Duarte, A.A., Solari, H.G. "Metamorphosis of the monochromatic spectrum in a double-cavity laser as a function of the feedback rate" . Physical Review A - Atomic, Molecular, and Optical Physics 58, no. 1 (1998) : 614-619.
http://dx.doi.org/10.1103/PhysRevA.58.614
---------- MLA ----------
Duarte, A.A., Solari, H.G. "Metamorphosis of the monochromatic spectrum in a double-cavity laser as a function of the feedback rate" . Physical Review A - Atomic, Molecular, and Optical Physics, vol. 58, no. 1, 1998, pp. 614-619.
http://dx.doi.org/10.1103/PhysRevA.58.614
---------- VANCOUVER ----------
Duarte, A.A., Solari, H.G. Metamorphosis of the monochromatic spectrum in a double-cavity laser as a function of the feedback rate. Phys Rev A. 1998;58(1):614-619.
http://dx.doi.org/10.1103/PhysRevA.58.614