Abstract
A new method of optical second-harmonic generation (SHG) in bulk media is proposed, using Bessel beams which realize CČerenkov phase matching. Single-domain crystals are presently considered. For noncollinear emission the scheme has the advantage of achieving conversion efficiencies of typically about double those achieved with unfocused Gaussian beams, over the same temperature bandwidth. The harmonic radiation is analysed using a Hankel transform-based spectral method. Numerical examples are given based on the crystal KNbO3, and possible experimental arrangements are suggested for the practical implementation of this method.
Similar content being viewed by others
References
J. Durnin, J. Opt. Soc. Am. A 4(4) (1987) 651–654.
J. Durnin, J. J. Miceli, Jr and J. H. Eberly, Phys. Rev. Lett. 58(15) (1987) 1499.
L. C. Laycock and S. C. Webster, GEC J. Research 10(1) (1992) 36.
Y. Lin, W. Seka, J. H. Eberly, H. Huang and D. L. Brown, Appl. Opt. 31(15) (1992) 2708.
K. Hayata and M. Koshiba, Electron. Lett. 25(6) (1989) 376.
K. Hayata, T. Sugawara and M. Koshiba, IEEE J. Quantum Electron. 26(1) (1990) 123.
T. Suhara, T. Morimoto and H. Nishihara, IEEE J. Quantum Electron Electron. 29(2) (1993) 525.
R. M. Herman and T. A. Wiggins, J. Opt. Soc. Am A 8(6) (1991) 932.
K. Chikuma and S. Umegaki, J. Opt. Soc. Am. B 7(5) (1990) 768.
M. Nazarathy and D. W. Dolfi, Opt. Lett. 12(10) (1987) 823.
M. Horowitz, A. Bekker and B. Fischer, Appl. Phys. Lett. 62(21) (1993) 2619.
T. Fukuda and Y. Uematsu, Jap. J. Appl. Phys. 11(2) (1972) 163.
A. W. Snyder and J. D. Love, Optical Waveguide Theory (Chapman & Hall, London, 1983).
J. F. Nye, Physical Properties of Crystals (Oxford University Press, Oxford, 1957).
I. Biaggio, P. Kerkoc, L.-S. Wu and P. Gunter, J. Opt. Soc. Am. B 9(4) (1992) 507.
F. Bloisi and L. Vicari, Opt. Comm. 75(5,6) (March 1990) 353.
A. Papoulis, Systems and Transforms with Applications in Optics (McGraw-Hill, New York, 1968).
A. Yariv, Optical Electronics (Holt-Saunders, Japan, 1985).
G. N. Watson, A Treatise on the Theory of Bessel Functions (Cambridge University Press, UK, 1966).
Y. Uematsu, Jap. J. Appl. Phys. 13(9) (1974) 1362.
B. Zysset, I. Biaggio and P. Gunter, J. Opt. Soc. Am. B 9(3) (1992) 380.
A. Vasara, J. Turunen and A. T. Friberg, J. Opt. Soc. Am. A 6(11) (1989) 1748.
R. P. Macdonald, J. Chrostowski, S. A. Boothroyd and B. A. Syrett, Appl. Opt. 32(32) (1993) 6470.
J. A. Davis, J. Guertin and D. M. Cottrell, Appl. Opt. 32(31) (1993) 6368.
N. Davidson, A. A. Friesem and E. Hasman, Opt. Comm. 88 (1992) 326.
G. Hatakoshi, M. Kawachi, K. Terashima and Y. Uematsu, Opt. Lett. 15(23) (Dec. 1990) 1336.
A. J. Cox and J. D'anna, Opt. Lett. 17(4) (1992) 232.
V. G. Dmitriev, G. G. Gurzadyan and D. N. Nikogosyan, Handbook of Nonlinear Optical Crystals (Springer-Verlag, Berlin, 1991).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Pandit, M.K., Payne, F.P. CČerenkov second-harmonic generation by nondiffracting Bessel beams in bulk optical crystals. Optical and Quantum Electronics 29, 35–51 (1997). https://doi.org/10.1023/A:1018573215363
Issue Date:
DOI: https://doi.org/10.1023/A:1018573215363