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Femtosecond pulse shaping via engineered nonlinear photonic crystals

https://doi.org/10.17586/2220-8054-2015-6-2-244-248

Abstract

Non-stationary second harmonic generation by femtosecond pulses, taking into account both group velocity mismatch and dispersion in nonlinear photonic crystals (quasi-phase matched crystals) with domains of arbitrary sizes has been studied numerically. A simulated-annealing algorithm, working on the basis of numerical calculation, is developed to design quasi-phase matching gratings which can yield the desired amplitude and phase profile for second-harmonic pulses in the presence of pump depletion.

About the Authors

U. K. Sapaev
National University of Uzbekistan, named after M. Ulugbek
Uzbekistan

Department of Physics

100174 Tashkent



V. E. Eshniyazov
National University of Uzbekistan, named after M. Ulugbek
Uzbekistan

Department of Physics

100174 Tashkent



B. Kh. Eshchanov
National University of Uzbekistan, named after M. Ulugbek
Uzbekistan

Department of Physics

100174 Tashkent



D. B. Yusupov
Tashkent State Technical University
Uzbekistan

Universitetskaya ul. 2 Tashkent, 100095



References

1. Armstrong J. A., Bloembergen N., Ducuing J. and Pershan P. S. Interactions between Light Waves in a Nonlinear Dielectric. Physical Review, 127(5), P. 1918–1939 (1962).

2. Arbore M. A., Marco O., Fejer M.M., Pulse compression during second-harmonic generation in aperiodic quasi-phase-matching gratings. Optics Letters, 22(12), P. 865–867 (1997).

3. Arbore M.A., Galvanauskas A., Harter D., Chou M.H. and Fejer M.M. Engineerable compression of ultra-short pulses by use of second-harmonic generation in chirped-period-poled lithium niobate. Optics Letters, 22(17), P. 1341–1343 (1997).

4. Artigas D., Reid D.T., Fejer M.M. and Torner L. Pulse compression and gain enhancement in a degenerate optical parametric amplifier based on aperiodically poled crystals. Optics Letters, 27(6), P. 442–444 (2002).

5. Artigas D., Reid D.T. Efficient femtosecond optical parametric oscillators based on aperiodically poled nonlinear crystals. Optics Letters, 27(10), P. 851–853 (2002).

6. Fejer M.M., Magel G.A., Jundt D. H. and Byer R. L., Quasi-phase-matched second harmonic generation – Tuning and tolerances. IEEE J. Quantum Electron, 28(11), P. 2631–2653 (1992).

7. Loza-Alvarez P., Reid D.T., Faller P., Ebrahimzadeh M. and Sibbett W., Simultaneous second-harmonic generation and femtosecond-pulse compression in aperiodically poled KTiOPO4 with a RbTiOAsO4-based optical parametric oscillator. J. Opt. Soc. Am. B, 16(9), P. 1553–1560 (1999).

8. Loza-Alvarez P., Reid D. T., Faller P., Ebrahimzadeh M., Sibbett W., Karlsson H. and Laurell F. Simultaneous femtosecond-pulse compression and second-harmonic generation in aperiodically poled KTiOPO4. Optics Letters, 24(15), P. 1071–1073 (1999).

9. Beddard T., Ebrahimzadeh M., Reid D.T. and Sibbett W. Five-optical-cycle pulse generation in the mid infrared from an optical parametric oscillator based on aperiodically poled lithium niobate. Optics Letters, 25(14), P. 1052–1054 (2000).

10. Imeshev G., Arbore M.A., Fejer M.M., Galvanauskas A., Fermann M. and Harter D. Ultrashort-pulse second-harmonic generation with longitudinally nonuniform quasi-phase-matching gratings: pulse compression and shaping. J. Opt. Soc. Am. B, 17(2), P. 304–318 (2000).

11. Imeshev G., Arbore M.A., Kasriel S. and Fejer M.M., Pulse shaping and compression by second-harmonic generation with quasi-phase-matching gratings in the presence of arbitrary dispersion. J. Opt. Soc. Am. B, 17(8), P. 1420–1437 (2000).

12. Buffa R. Transient second-harmonic generation with spatially non-uniform nonlinear coefficients. Optics Letters, 27(12), P. 1058–1060 (2000).

13. Buffa R. and Cavalieri S. Optimal control of type I second-harmonic generation with ultrashort laser pulses. J. Opt. Soc. Am. B, 17(11), P. 1901–1905 (2000).

14. Conforti M., Baronio F. and Angelis C. De. From femtosecond infrared to picosecond visible pulses: temporal shaping with high efficiency conversion. Optics Letters, 32(13), P. 1779–1789 (2007).

15. Reid D.T. Engineered quasi-phase-matching for second-harmonic generation. J. Opt. A: Pure Appl. Opt., 5, P. S97–S102 (2003).

16. Sapaev U.K., Reid D.T. General second-harmonic pulse shaping in grating-engineered quasi-phase-matched nonlinear crystals. Optics Express, 13(9), P. 3264–3276 (2005).

17. Sapaev U.K. Optimum shaping of a spectral response of second harmonic generation process in the aperiodic quasi-phase matched nonlinear crystal. Optics Spectroscopy, 102(6), P. 1023–1027 (2007).

18. Sapaev U.K., Assanto G. Femtosecond pulse synthesis by efficient second harmonic generation in engineered quasi phase matching gratings. Optics Express, 15(12), P. 7448–7457 (2007).

19. Sapaev U.K., Yusupov D. B., Sherniyzov A.A., Uzakov A. A. Theory of backward second-harmonic generation of short laser pulses in periodically and aperiodically poled nonlinear crystals. Journal of Russian Laser Research, 33(2), P. 196–210 (2012).


Review

For citations:


Sapaev U.K., Eshniyazov V.E., Eshchanov B.Kh., Yusupov D.B. Femtosecond pulse shaping via engineered nonlinear photonic crystals. Nanosystems: Physics, Chemistry, Mathematics. 2015;6(2):244-248. https://doi.org/10.17586/2220-8054-2015-6-2-244-248

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