Abstract
This paper was stimulated by the experimental studies of solid-state lasers initiated by N. G. Basov and carried out at the Laboratory of Luminescence of the P. N. Lebedev Physical Institute under the direction of M. D. Galanin and A. M. Leontovich in the 1960-ies. Here, the classical parabolic equation method is extended in order to calculate complex eigenfrequencies of optical oscillations in a dielectric-filled open resonator. Accurate estimates confirm a high quality factor of ruby lasers. The developed approach can be used to find complex eigenfrequencies of other dielectric optical objects in laser systems of current interest.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
N. G. Basov and A. M. Prokhorov, J. Exp. Theor. Phys. (USSR), 27, 431 (1954) [in Russian].
J. P. Gordon, H. J. Zeiger, and E. H. Towns, Phys. Rev., 95, 282 (1954); DOI: https://doi.org/10.1103/PhysRev.95.282
A. L. Schawlow and E. H. Townes, Phys. Rev., 112, 1940 (1958); DOI: https://doi.org/10.1103/PhysRev.112.1940
At the beginning of 1959, N. G. Basov initiated Project “Photon” at the P. N. Lebedev Physical Institute in Moscow.
N. G. Basov, O. N. Krokhin, and Yu. M. Popov, Usp. Fiz. Nauk, 72, 161 (1960); DOI: 10.3367/UFNr.0072.196010a.0161 [English translation: Soviet Phys. Usp., 3, 702 (1961); DOI: 10.1070/PU1961v003n05ABEH003322].
G. M. Zverev, L. S. Kornienko, A. A. Manenkov, and A. M. Prokhorov, J. Exp. Theor. Phys. (USSR), 34, 1660 (1958) [English translation: Soviet Phys. JETP, 6, 1141 (1958)].
T. H. Maiman, The Laser Odyssey, Laser Press, Blaine, WA, USA (2000).
T. H. Maiman, Phys. Rev. Lett., 4, 564 (1960); DOI: https://doi.org/10.1103/PhysRevLett.4.564
T. H. Maiman, Nature, 187, 493 (1960); DOI: https://doi.org/10.1038/187493a0
I. M. Belousova, Usp. Fiz. Nauk, 181, 79 (2011); DOI: https://doi.org/10.3367/UFNr.0181.201101f.0079 [English translation: Phys.-Usp., 54, 73 (2011); DOI: https://doi.org/10.3367/UFNe.0181.201101g.0079].
M. D. Galanin, A. M. Leontovich, and Z. A. Chizhikova, J. Exp. Theor. Phys. (USSR), 43, 347 (1962) [English translation: Soviet Phys. JETP, 16, 249 (1963)].
A. M. Leontovich and Z. A. Chizhikova, Usp. Fiz. Nauk, 181, 82 (2011); DOI: https://doi.org/10.3367/UFNr.0181.201101g.0082 [English translation: Phys.-Usp., 54, 77 (2011); DOI: https://doi.org/10.3367/UFNe.0181.201101h.0082].
V. V. Korobkin, A. M. Leontovich, and M. N. Smirnova, J. Exp. Theor. Phys. (USSR), 48, 78 (1965) [English translation: Soviet Phys. JETP, 21, 53 (1965)].
V. V. Korobkin, A. M. Leontovich, M. N. Popova, and M. Ya. Shchelev, J. Exp. Theor. Phys. Pis’ma (USSR), 3, 301 (1966) [English translation: Soviet Phys. JETP Lett., 3, 194 (1966)].
L. A. Vainshtein. Open Resonators and Open Waveguides, Sovet Radio, Moscow, USSR (1966) [English translation: Golem Press: Boulder, CO, USA (1969)].
V. A. Buts and V. I. Kurilko, Izvestiya VUZ. Radiofizika, 12, 924 (1969) [English translation: Radiophys. Quantum Electron., 12, 735 (1969); DOI: https://doi.org/10.1007/BF01031260].
A. Popov and M. Popova, Radiotechnika i Electronika, 16, 2176 (1971) [in Russian].
M. A. Leontovich and V. A. Fock, J. Exp. Theor. Phys. (USSR), 16, 6657 (1946) [English translation: J. Phys. (USSR), 10, 13 (1946)].
G. D. Malyuzhinets, Usp. Fiz. Nauk, 69, 321 (1959); DOI: https://doi.org/10.3367/UFNr.0069.195910g.0321 [English translation: Soviet Phys. Uspekhi, 2, 749 (1959); DOI: https://doi.org/10.1070/PU1959v002n05ABEH003170].
V. A. Fock, Electromagnetic Diffraction and Propagation Problems, International Series of Monographs on Electromagnetic Waves, Pergamon Press, London (1965), Vol. 2.
L. A. Vainshtein, J. Tech. Phys. (USSR), 34, 193 (1964) [in Russian].
A. Popov and M. Popova, “Trapped modes of a dielectric filled open cavity,” in: Electromagnetic Wave Theory, Proceedings of the International Symposium on Electromagnetic Wave Theory (Tbilisi, 9–15 September 1971), Nauka, Moscow (1971), pp. 708–713.
J. B. Keller, J. Opt. Soc. Am., 52, 116 (1962); DOI: https://doi.org/10.1364/JOSA.52.000116
L. B. Felsen and N. Marcuvitz, Radiation and Scattering of Waves, Wiley-IEEE Press (1994).
S. L. Sobolev, Selected Works, G. V. Demidenko and V. L. Vaskevich (Eds.), Springer, NY (2006), vol. 1; DOI: https://doi.org/10.1007/978-0-387-34149-1
A. V. Popov, Acoust. J. (USSR), 15, 265 (1969) [English translation: Sov. Phys. Acoust., 15, 226 (1969)].
F. D. Tappert, “The parabolic approximation method,” in: J. B. Keller and J. S. Papadakis (Eds.), Wave Propagation and Underwater Acoustics: Lecture Notes in Physics, Springer, Berlin, Heidelberg (1977), Vol. 70, pp. 224–287; DOI: https://doi.org/10.1007/3-540-08527-0 5
V. A. Baranov and A. V. Popov, Wave Motion, 17, 337 (1993); DOI: https://doi.org/10.1016/0165-2125(93)90013-6
Yu. V. Kopylov, A. V. Vinogradov, and A. V. Popov, Opt. Commun., 118, 619 (1995); DOI: https://doi.org/10.1016/0030-4018(95)00295-J
A. V. Popov and N. Y. Zhu, Int. J. Electron. Commun. (AE¨ U), 54, 175 (2000).
A. V. Popov and A. N. Kurokhtin, “Parabolic equation method for electromagnetic guiding structures,” in: Proceedings of the 3rd International Conference on Transparent Optical Networks (Cracow, Poland, 18-24 June 2001), IEEE (2001), pp. 42–46; ISBN: 0-7803-7096-1
A. V. Popov, “Parabolic equation modeling of continuous and pulsed EM propagation,” in: Proceedings of the 20th International Symposium on Antennas (JINA2002) (Nice, France, 12–14 November 2002), Vol. 2, pp. 179–187.
A. Popov and V. Kopeikin, Prog. Electromagn. Res. B, 6, 37 (2008); DOI: https://doi.org/10.2528/PIERB08031102
J. Watkins, IEEE Trans. Microwave Theory and Techniques, 21, 636 (1973); DOI: https://doi.org/10.1109/TMTT.1973.1128094
M. D. Rotaru and J. K. Sykulski, IEEE Trans. Magnetics, 45, 1052 (2009); DOI: https://doi.org/10.1109/TMAG.2009.2012573
G. Gagliardi, “Dielectric optical resonators for mechanical and chemical sensing using frequency combs,” in: Imaging and Applied Optics Technical Papers, OSA Technical Digest (online) Optica Publishing Group (2012), paper AM2A.4; DOI: https://doi.org/10.1364/AIO.2012.AM2A.4
S. K. K. Dash, T. Khan, and A. De, J. Microwave Power and Electromagnetic Energy, 50, 269 (2016); DOI: https://doi.org/10.1080/08327823.2016.1260677
G. D. Malyuzhinets, Doklady Akademii Nauk SSSR, 78, 439 (1951) [in Russian].
Author information
Authors and Affiliations
Corresponding author
Additional information
Dedicated to the 100th Anniversary of the Birth of Nikolai G. Basov and to the History of Lasers in Russia
Ad Memoriam of Nikolai Gennadievich Basov is available at https://springerlink.bibliotecabuap.elogim.com/article/10.1007/s10946-022-10100-y
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Popov, A.V., Popova, M.N. Diffraction Losses of a Dielectric Open Resonator. J Russ Laser Res 44, 365–374 (2023). https://doi.org/10.1007/s10946-023-10143-9
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10946-023-10143-9