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Double phase-matched cascaded fifth harmonic generation in single nonlinear medium by focussed laser beam

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Abstract

Generation of a fifth harmonic by the cascading of two phase-matched third-order processes in a single centrosymmetric nonlinear medium with a focused fundamental beam is investigated theoretically. With the help of analytical and numerical investigations the optimized conditions for maximum conversion into the fifth harmonic are found. In general the optimal position of focusing depends on the values of the mismatches Δk1 and Δk2 for both “steps” of the third order cascading (ω+ω+ω=3ω; 3ω+ω+ω=5ω). It is shown that for best efficiency this method of fifth harmonic generation requires specially chosen Δk1,opt and Δk2,opt and focusing in the center of the nonlinear media. If the phase matching parameters are fixed and they deviate from the optimal values, then the optimal strength of focusing and position of the focus spot should be calculated according to the analysis presented here.

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References

  1. L. Misoguti, S. Backus, C. Durfee, R. Bartels, M.M. Murnane, H.C. Kapteyn: Phys. Rev. Lett. 87, 13601 (2001)

    Article  Google Scholar 

  2. C.G. Durfee, L. Misoguti, S. Backus, H.C. Kapteyn, M.M. Murnane: J. Opt. Soc. Am. B. 19, 822 (2002)

    Google Scholar 

  3. R. Ivanov, K. Koynov, S. Saltiel: Opt. Commun. 212, 397 (2002), Erratum 218, 197 (2003)

    Article  Google Scholar 

  4. Ivan V. Tomov, Martin C. Richardson: IEEE J. Quant. Electron. QE-12, 521 (1976)

  5. S. Akhmanov, V. Martinov, S. Saltiel, V. Tunkin: JETF 22, 143 (1975). English translation in JETP Lett. 22, 65 (1975)

    Google Scholar 

  6. S.A. Akhmanov, L.B. Meisner, S.T. Parinov, S.M. Saltiel, V.G. Tunkin: Zh. Eksp. Teor. Fiz. 73, 1710 (1977) In Russian [English Translation: JETF 46, 898 (1977)]

    Google Scholar 

  7. V.V. Rostovtseva, A.P. Sukhorukov, V.G. Tunkin, S. Saltiel: Opt. Commun. 22, 56 (1977)

    Article  Google Scholar 

  8. V.V. Rostovtseva, S. Saltiel, A.P. Sukhorukov, V.G. Tunkin: Kvantovaia Elektronika, 7, 1081 (1980) In Russian [English Translation: Sov. J. Quantum Electron. 10, 616 (1980)]

    Google Scholar 

  9. J.F. Reintjes: “Nonlinear optical parametric processes in liquids and gases” (Acadimic Press, Orlando 1984)

  10. A.P. Sukhorukov: “Nonlinear wave interactions in optics and radiophiysics” (Science, Moscow 1988)

  11. P.D.L. Williams, D.P. West, T.A. King: Opt. Commun. 148, 208 (1998)

    Article  Google Scholar 

  12. R.A. Bartels, A. Paul, H. Green, H.C. Kapteyn, M.M. Murnane, S. Backus, I.P. Christov, Y. Liu, D. Attwood, C. Jacobsen: Science 297, 376 (2002)

    Google Scholar 

  13. Robert W. Boyd: “Nonlinear Optics” (Academic Press, Boston 1992)

  14. G.-D. Xu, T.-W. Ren, Y.-H. Wang, Y.-Y. Zhu, S.-N. Zhu, N.-B. Ming: J. Opt. Soc. Am. B. 20, 360 (2003)

    Google Scholar 

  15. V. Magni: Opt. Commun. 184, 245 (2000)

    Article  Google Scholar 

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Authors and Affiliations

  1. Quantum Electronics Department, Faculty of Physics, Sofia University, 5 J. Bouchier blvd., 1164, Sofia, Bulgaria

    R. Ivanov & S. Saltiel

  2. Max Planck Institute for Polymer Research, Ackermannweg 10, 55128, Mainz, Germany

    K. Koynov

Authors
  1. R. Ivanov
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  2. K. Koynov
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  3. S. Saltiel
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Correspondence to R. Ivanov.

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PACS

42.65.-k; 42.65.Ky; 42.79.Nv

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Ivanov, R., Koynov, K. & Saltiel, S. Double phase-matched cascaded fifth harmonic generation in single nonlinear medium by focussed laser beam. Appl Phys B 78, 87–92 (2004). https://doi.org/10.1007/s00340-003-1313-5

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