Second-harmonic generation with monolithic walk-off-compensating periodic structures. I. Theory

Journal of the Optical Society of America B: Optical Physics

Volumn 20, Issue 8, 2003, Pages 1675-1694

  Zondy, Jean Jacques ^a   Bonnin, Christophe ^b   Lupinski, Dominique ^b  

^a OBSERVATOIRE DE PARIS   (France)

^b Cristal Laser SA   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BIREFRINGENCE; DIFFRACTION GRATINGS; HEURISTIC METHODS; NONLINEAR OPTICS; OPTICAL FILTERS; OPTICAL FREQUENCY CONVERSION; WAVE EQUATIONS;

GAUSSIAN BEAMS; OPTICAL PHASES;

SECOND HARMONIC GENERATION;

EID: 0042028483     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.20.001675     Document Type: Article

References (52)

1. M. Born and B. Wolf, Principles of Optics, 7th ed. (Cambridge U. Press, Cambridge, 1999), Chap. 15.
2. A. Yariv and P. Yeh, Optical Waves in Crystals (Wiley, New York, 1984), Chaps. 4 and 12.
3. 2/2).
4. G. D. Boyd and D. A. Kleinman, "Parametric interaction of focused Gaussian light beams," J. Appl. Phys. 39, 3597-3639 (1968).
5. (2) nonlinear coefficients of KTP from phase-matched second-harmonic generation," J. Opt. Soc. Am. B 11, 750-757 (1994).
6. B. Boulanger, J. P. Fève, G. Marnier, C. Bonnin, P. Villeval, and J. J. Zondy, "Absolute measurement of quadratic non-linearities from phase-matched second-harmonic generation in a single KTP crystal cut as a sphere," J. Opt. Soc. Am. B 14, 1380-1386 (1997).
7. J.-J. Zondy, M. Abed, and A. Clairon, "Type-II frequency doubling at λ = 1.30 μm and λ= 2.53 μm in flux-grown potassium titanyl phosphate," J. Opt. Soc. Am. B 11, 2004-2015 (1994).
8. V. D. Volosov and A. G. Kalintsev, "Optimum optical second-harmonic generation in tandem crystals," Sov. Tech. Phys. Lett. 2, 373-375 (1976).
9. L. K. Samantha, T. Yanagawa, and Y. Yamamoto, "Technique for enhanced second harmonic output power," Opt. Commun. 76, 250-252 (1993).
10. 4," J. Opt. Soc. Am. B 11, 2368-2379 (1994).
11. 2 crystals for cw 10.2 μm SHG," Opt. Commun. 119, 320-326 (1995).
12. 2 doubly resonant device," Opt. Lett. 22, 1302-1304 (1997).
13. D. J. Armstrong, W. J. Alford, T. D. Raymond, and A. V. Smith, "Parametric amplification and oscillation with walk-off-compensating crystals," J. Opt. Soc. Am. B 14, 460-474 (1997).
14. E. Roissé, E. Louradour, O. Gay, V. Couderc, and A. Barthélémy, "Walk-off and phase-compensated resonantly enhanced frequency-doubling of picosecond pulses using type-II nonlinear crystals," Appl. Phys. B 69, 25-27 (1999).
15. 2 difference-frequency spectrometer," IEEE Trans. Instrum. Meas. 48, 592-595 (1999).
16. R. B. Andreev, K. V. Vetrov, V. D. Volosov, and A. G. Kalimtsev, "Three-wave parametric processes in multicrystal non-linear frequency converters," Opt. Spectrosc. 65, 90-93 (1988).
17. M. Brown, "Increased spectral bandwidths in nonlinear conversion processes by use of multicrystal designs," Opt. Lett. 23, 1591-1593 (1998).
18. A. V. Smith, D. J. Armstrong, and W. J. Alford, "Increased acceptance bandwidths in optical frequency conversion by use of multiple walk-off-compensating nonlinear crystals," J. Opt. Soc. Am. B 15, 122-141 (1998).
19. 4 devices," in Nonlinear Frequency Generation and Conversion, M. C. Gupta, W. J. Kozlovsky, and D. C. McPherson, eds., Proc. SPIE 2700, 66-72 (1996).
20. J.-J. Zondy and Cristal-Laser SA, "Structure monolithique obtenue par contact optique de cristaux non linéaires en compensation de walk-off," French patent (brevet d'invention 96 01 197; April 4, 1999).
21. 4 OCWOC and diffusion-bonded WOC structures are commercially available at http://www.cristal-laser.fr.
22. B. Ya. Zeldovitch, Yu. E. Kapitskii, and A. N. Chudinov, "Interference between second-harmonics generated in two different KTP crystals," Sov. J. Quantum Electron. 20, 1120-1121 (1990).
23. M. Vaupel, A. Maître, and C. Fabre, "Observation of pattern formation in an optical parametric oscillator," Phys. Rev. Lett. 83, 5278-5281 (1999).
24. S. Ducci, N. Treps, A. Maitre, and C. Fabre, "Pattern formation in optical parametric oscillators," Phys, Rev. A 64, 023803 (2001).
25. 4," Opt. Commun. 161, 359-369 (1999).
26. R. F. Wu, P. B. Phua, K. S. Lai, Y. L. Lim, E. Lau, A. Chang, C. Bonnin, and D. Lupinski, "Compact 21-W 2-μm intracavity optical parametric oscillator," Opt. Lett. 25, 1460-1462 (2000).
27. R. F. Wu, K. S. Lai, E. Lau, H. F. Wong, W. J. Xie, Y. L. Lim, K. W. Lim, and L. Chia, "Multi-watt ZGP OPO based on diffusion-bonded walkoff compensated KTP OPO and NdiYALO laser," in Advanced Solid State Lasers, Vol. 34 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2002), paper TuA4.
28. R. Lebrun, G. Mennerat, and P. George, "High-efficiency mid-IR nanosecond cascaded optical parametric oscillators based on diffusion-bonded walkoff-compensated KTP and ZGP crystals," Advanced Solid State Lasers, Vol. 34 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2002), paper TuA5.
29. L. Torner, "Guiding-center walking soliton," Opt. Lett. 23, 1256-1258 (1998).
30. J. A. Fleck and M. D. Feit, "Beam propagation in uniaxial anisotropic media," J. Opt. Soc. Am. 73, 920-926 (1983).
31. M. A. Dreger and J. K. McIver, "Second-harmonic generation in a nonlinear, anisotropic medium with diffraction and depletion," J. Opt. Soc. Am. B 7, 776-784 (1990).
32. D. Eimerl, J. M. Auerbach, and P. W. Milonni, "Paraxialwave theory of second and third harmonic generation in uniaxial crystals. I. Narrowband pump fields," J. Mod. Opt. 42, 1037-1067 (1995).
33. H. Kogelnik and T. Li, "Laser beams and resonators," Proc. IEEE 54, 1312-1328 (1966).
34. D. A. Kleinman, A. Ashkin, and G. D. Boyd, "Secondharmonic generation of light by focused laser beams," Phys. Rev. 145, 338-384 (1966).
35. 2: prospect for a low-threshold doubly resonant oscillator-based 3:1 frequency divider," J. Opt. Soc. Am. B 14, 2481-2497 (1997).
36. J.-J. Zondy, "The effects of focusing in type-I and type-II difference frequency generations," Opt. Commun. 149, 181-206 (1998).
37. A. Steinbach, M. Rauner, F. C. Cruz, and J. C. Berquist, "Cw second harmonic generation with elliptical Gaussian beams," Opt. Commun. 123, 207-214 (1996).
38. T. Freegarde, J. Coutts, J. Walz, D. Leibfried, and T. W. Hänsch, "General analysis of type-I second-harmonic generation with elliptical Gaussian beams," J. Opt. Soc. Am. B 14, 2010-2016 (1997).
39. J.-J. Zondy, D. Kolker, C. Bonnin, and D. Lupinski, "Secondharmonic generation with monolithic walk-off-compensating periodic structures. 2. Experiments," J. Opt. Soc. Am. B 20, 1695-1707 (2003).
40. M. D. Feit and J. A. Fleck, "Beam nonparaxiality, filament formation, and beam breakup in the self-focusing of optical beams," J. Opt. Soc. Am. B 5, 633-640 (1988).
41. A. C. Newell and J. V. Moloney, Nonlinear Optics (AddisonWesley, Redwood City, Calif., 1993).
42. F. Castaldo, G. Abbate, and E. Santamato, "Theory for a new vectorial beam-propagation method in anisotropic structures," Appl. Opt. 38, 3904-3910 (1999).
43. S. C. Sheng and A. E. Siegman, "Nonlinear optical calculations using fast transform methods: second-harmonic generation with depletion and diffraction," Phys. Rev. A 21, 599-606 (1980).
44. M. Nieto-Vesperinas and G. Lera, "Solution to nonlinear optical frequency mixing equations with depletion and diffraction," Opt. Commun. 69, 329-333 (1989).
45. A. V. Smith and M. S. Bowers, "Phase distortions in sumand difference-frequency mixing in crystals," J. Opt. Soc. Am. B 12, 49-57 (1995).
46. G. Arisholm, "General numerical methods for simulating second-order nonlinear interactions in birefringent media," J. Opt. Soc. Am. B 14, 2543-2549 (1997).
47. P. Plizka and P. P. Banerjee, "Nonlinear transverse effects in second-harmonic generation," J. Opt. Soc. Am. B 10, 1810-1819 (1993).
48. P. Plizka and P. P. Banerjee, "Self-phase modulation in quadratically nonlinear media," J. Mod. Opt. 40, 1909-1916 (1993).
49. 3, and KTP measured by phase-matched second-harmonic generation," IEEE J. Quantum Electron. 26, 922-933 (1990).
50. Ref. 2, Chap. 6, p. 155.
51. G. Shabtay, E. Eidinger, Z. Zalevsky, D. Mendlovic, and E. Marom, "Tunable birefringent filters - optimal iterative design," Opt. Express 10, 1534-1538 (2002), http://www.opticsexpress.org.
52. K. Kato, "Parametric oscillation at 3.2 μm in KTP pumped at 1. 064 μm," IEEE J. Quantum Electron. 27, 1137-1140 (1991).