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Kvantovaya Elektronika, 2004, Volume 34, Number 12, Pages 1163–1168 (Mi qe2730)  

This article is cited in 13 scientific papers (total in 13 papers)

Nonlinear optical phenomena

Properties of self-focusing of elliptic beams

V. P. Kandidov, V. Yu. Fedorov

Faculty of Physics, Lomonosov Moscow State University

Abstract: Stationary self-focusing of collimated elliptic Gaussian beams is studied numerically. It is shown that the critical self-focusing power increases with increasing the axial ratio of the initial elliptic cross section. Self-focusing is accompanied by oscillations of the beam transverse size caused by the competition between the diffraction-limited divergence and nonlinear compression. As the power of the beam with the axial ratio a/b≥3 increases, aberration self-focusing occurs, at which, after the formation and competition of several intensity maxima in the beam cross section, a global maximum appears at the beam centre, which forms a nonlinear focus. The approximation formula for the self-focusing distance is generalised to elliptic beams.

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English version:
Quantum Electronics, 2004, 34:12, 1163–1168

Bibliographic databases:

PACS: 42.65.Jx, 42.60.Jf
Received: 20.04.2004
Revised: 23.08.2004

Citation: V. P. Kandidov, V. Yu. Fedorov, “Properties of self-focusing of elliptic beams”, Kvantovaya Elektronika, 34:12 (2004), 1163–1168 [Quantum Electron., 34:12 (2004), 1163–1168]

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    This publication is cited in the following articles:
    1. V. Yu. Fedorov, V. P. Kandidov, O. G. Kosareva, N. Akozbek, M. Scalora, S. L. Chin, Laser Phys, 16:8 (2006), 1227  crossref  adsnasa  isi  elib  scopus
    2. V. Yu. Fedorov, V. P. Kandidov, Laser Phys, 18:12 (2008), 1530  crossref  adsnasa  isi  elib  scopus
    3. V P Kandidov, Svyatoslav A Shlenov, O G Kosareva, QUANTUM ELECTRON, 39:3 (2009), 205  mathnet  crossref  adsnasa  isi  elib  scopus
    4. Anton S. Desyatnikov, Daniel Buccoliero, Mark R. Dennis, Yuri S. Kivshar, Phys Rev Letters, 104:5 (2010), 053902  crossref  isi  scopus
    5. Bonggu Shim, Samuel E. Schrauth, Luat T. Vuong, Yoshitomo Okawachi, Alexander L. Gaeta, Opt. Express, 19:10 (2011), 9139  crossref  isi  scopus
    6. S. V. Chekalin, V. P. Kandidov, Phys. Usp., 56:2 (2013), 123–140  mathnet  crossref  crossref  adsnasa  isi  elib  elib
    7. Pawel Berczynski, Opt Quant Electron, 2013  crossref  isi  scopus
    8. D. Ianetz, Yu. Kaganovskii, A. D. Wilson-Gordon, Phys. Rev. A, 87:4 (2013)  crossref  isi  elib  scopus
    9. Cheng Ya., Xie H., Wang Zh., Li G., Zeng B., He F., Chu W., Yao J., Qiao L., Phys. Rev. A, 92:2 (2015), 023854  crossref  isi  scopus
    10. Panov N.A., Makarov V.A., Grigoriev K.S., Yatskevitch M.S., Kosareva O.G., Physica D, 332 (2016), 73–78  crossref  mathscinet  isi  elib  scopus
    11. Karpinski P., Shvedov V., Krolikowski W., Hnatovsky C., Opt. Express, 24:7 (2016), 7456–7476  crossref  isi  elib  scopus
    12. Zhu Zh. Wang T.-J. Liu Ya. Chen N. Zhang H. Sun H. Guo H. Zhang J. Zhang X. Li G. Liu C. Zeng Zh. Liu J. Chin S.L. Li R. Xu Zh., Chin. Opt. Lett., 16:7 (2018), 073201  crossref  isi
    13. Kaya G., Eur. Phys. J. D, 74:2 (2020), 38  crossref  isi
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