## Second-harmonic generation in biaxial crystals for a focused fundamental Gaussian laser beam: application to ()2-α-(methylbenzylamino)- 5-nitropyridine single crystals

JOSA B, Vol. 15, Issue 1, pp. 438-445 (1998)

http://dx.doi.org/10.1364/JOSAB.15.000438

Acrobat PDF (279 KB)

### Abstract

The second-harmonic nonlinear optical susceptibility tensor of (−)2-α-(methylbenzylamino)-5-nitropyridine single crystals has been calculated from electric-field-induced second-harmonic generation (SHG) data and the oriented-gas model. From this tensor the calculated value of the maximum effective nonlinear optical susceptibility <i>d</i><sub>eff</sub> for phase-matched SHG was found to be 6.5 pm V<sup>−1</sup>. Calculations along the whole of the phase-matching locus show that the highest value of <i>d</i><sub>eff</sub> is in the region of the lowest values of the second-harmonic wave beam walk-off angle. The walk-off angle of the fundamental is approximately five times smaller. A theory necessary for the optimization of SHG efficiency in biaxial crystals is developed and it is shown that, for the range of crystal lengths and beam walk-off angles available, the criteria for the selection of the parameters w<sub>0</sub>, z<sub>0</sub>, and Δk for optimization of the second-harmonic signal are the same in biaxial and uniaxial crystals. The optimal configuration for the highest second-harmonic efficiency on the phase-matching locus has been determined. The maximum SHG figure of merit, <i>P</i><sub>2ω</sub>(<i>l</i>)/<i>P</i><sub>ω</sub><sup>2</sup>(0), is found to be 3.7 10<sup>−3</sup> W<sup>−1</sup> for a 50-mm-long crystal.

© 1998 Optical Society of America

**OCIS Codes**

(190.3100) Nonlinear optics : Instabilities and chaos

(190.4710) Nonlinear optics : Optical nonlinearities in organic materials

**Citation**

P. Kerkoc, R. T. Bailey, F. R. Cruickshank, and D. Pugh, "Second-harmonic generation in biaxial crystals for a focused fundamental Gaussian laser beam: application to ()2-α-(methylbenzylamino)- 5-nitropyridine single crystals," J. Opt. Soc. Am. B **15**, 438-445 (1998)

http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-15-1-438

Sort: Year | Journal | Reset

### References

- G. D. Boyd and D. A. Kleinman, “Parametric interaction of focused Gaussian light beams,” J. Appl. Phys. 39, 3597–3639 (1968).
- G. D. Boyd, A. Ashkin, J. M. Dziedzic, and D. A. Kleinman, “Second-harmonic generation of light with double refraction,” Phys. Rev. A 137, 1305–1320 (1965).
- R. J. Twieg and C. W. Dirk, “Molecular and crystal structure of the nonlinear optical material (−)2-α(methylbenzylamino)-5-nitropyridine,” Research Rep. RJ 5237 (54077) (IBM Almaden Research Center, San Jose, Calif., July 1986).
- J. Zyss and D. S. Chemla, in “Nonlinear Optical Properties of Organic Molecules and Crystals,” D. S. Chemla and J. Zyss, eds. (Academic, New York, 1987), Vol. I, Chap. 2, pp. 23–191.
- T. Kondo, N. Ogasawara, S. Umegaki, and R. Ito, “Linear and nonlinear optical properties of (−)2(α-methylbenzylamino)-5-nitropyridine,” in Nonlinear Optical Properties of Organic Materials, G. Khanarian, ed., Proc. SPIE 971, 83–88 (1988).
- R. T. Bailey, F. R. Cruickshank, D. Pugh, J. N. Sherwood, G. S. Simpson, and S. Wilkie, “The linear optical properties of the organic molecular crystal (−)2-α(methylbenzylamino)-5-nitropyridine,” Mol. Cryst. Liq. Cryst. 231, 223–229 (1993).
- R. T. Bailey, F. R. Cruickshank, S. M. G. Guthrie, B. Kashyap, B. J. McArdle, G. W. McGillivray, H. Morrison, B. K. Nayar, D. Pugh, E. A. A. Shepherd, J. N. Sherwood, K. I. White, and C. S. Yoon, “A full optical characterisation of the organic nonlinear optical material (−)2(α-methylbenzylamino)-5-nitropyridine,” in Nonlinear Optical Properties of Organic Materials, G. Khanarian, ed., Proc. SPIE 971, 76–82 (1988).
- T. Kondo, F. Akase, M. Kumagai, and R. Ito, “Linear and nonlinear optical properties of racemic (±)2(α-methylbenzylamino)-5-nitropyridine single crystals,” Opt. Rev. 2, 128–131 (1995).
- M. Born and E. Wolf, Principles of Optics (Pergamon, Oxford, 1980), Chap. 14, pp. 665–678.
- G. N. Ramachandran and S. Ramaseshan, “Crystal optics,” in Handbuch der Physik, S. Flügge, ed. (Springer-Verlag, Berlin, 1961), Vol. 25, Chap. 1, p. 87.
- P. Kerkoc, R. T. Bailey, F. R. Cruickshank, D. Pugh, and J. N. Sherwood, “Low values of the tensor components of the non-resonant optical absorption in the molecular nonlinear optical single crystal (−)2-α-(methylbenzylamino)-5nitropyridine,” Opt. Commun. 132, 484–488 (1996).
- S. A. Akhmanov, A. I. Kovrygin, and A. P. Sukhorukov, “Optical harmonic generation and optical frequency multipliers,” in Quantum Electronics: A Treatise, H. Rabin and C. L. Tang, eds. (Academic, New York, 1975), Vol. 1, Chap. 8, pp. 511–512.
- J. R. Rice, Numerical Methods, Software and Analysis (McGraw-Hill, London, 1983), Chap. 7, p. 210.
- W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes, FORTRAN Version (Cambridge U. Press, Cambridge, 1989), Chap. 10, pp. 274–282.
- D. A. Kleinman, A. Ashkin, and G. D. Boyd, “Second-harmonic generation of light by focused laser beams,” Phys. Rev. 145, 338–379 (1966).
- R. T. Bailey, F. R. Cruickshank, D. Pugh, and J. N. Sherwood, “Growth perfection and properties of organic nonlinear materials,” Acta Crystallogr. Sec. A 47, 145–155 (1991).
- P. Kerkoc, M. Zgonik, K. Sutter, Ch. Bosshard, and P. Günter, “4-(N, N-dimethylamino)-3-acetamidonitrobenzene single crystals for nonlinear optical applications,” J. Opt. Soc. Am. B 7, 313–319 (1990).

## Cited By |
Alert me when this paper is cited |

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article | Next Article »

OSA is a member of CrossRef.