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 deff for phase-matched SHG was found to be 6.5 pm V-1. Calculations along the whole of the phase-matching locus show that the highest value of deff 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 w0, z0, 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, P2ω(l)/Pω2(0), is found to be 3.7×10-3 W-1 for a 50-mm-long crystal.

© 1998 Optical Society of America

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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  12. 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.
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    [CrossRef]
  16. 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).
    [CrossRef]
  17. 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).
    [CrossRef]

1996

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).
[CrossRef]

1995

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).
[CrossRef]

1993

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).
[CrossRef]

1991

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).
[CrossRef]

1990

1988

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).
[CrossRef]

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).
[CrossRef]

1968

G. D. Boyd and D. A. Kleinman, “Parametric interaction of focused Gaussian light beams,” J. Appl. Phys. 39, 3597–3639 (1968).
[CrossRef]

1966

D. A. Kleinman, A. Ashkin, and G. D. Boyd, “Second-harmonic generation of light by focused laser beams,” Phys. Rev. 145, 338–379 (1966).
[CrossRef]

1965

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).
[CrossRef]

Akase, F.

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).
[CrossRef]

Ashkin, A.

D. A. Kleinman, A. Ashkin, and G. D. Boyd, “Second-harmonic generation of light by focused laser beams,” Phys. Rev. 145, 338–379 (1966).
[CrossRef]

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).
[CrossRef]

Bailey, R. T.

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).
[CrossRef]

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).
[CrossRef]

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).
[CrossRef]

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).
[CrossRef]

Bosshard, Ch.

Boyd, G. D.

G. D. Boyd and D. A. Kleinman, “Parametric interaction of focused Gaussian light beams,” J. Appl. Phys. 39, 3597–3639 (1968).
[CrossRef]

D. A. Kleinman, A. Ashkin, and G. D. Boyd, “Second-harmonic generation of light by focused laser beams,” Phys. Rev. 145, 338–379 (1966).
[CrossRef]

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).
[CrossRef]

Cruickshank, F. R.

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).
[CrossRef]

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).
[CrossRef]

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).
[CrossRef]

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).
[CrossRef]

Dziedzic, J. M.

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).
[CrossRef]

Günter, P.

Guthrie, S. M. G.

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).
[CrossRef]

Ito, R.

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).
[CrossRef]

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).
[CrossRef]

Kashyap, B.

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).
[CrossRef]

Kerkoc, P.

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).
[CrossRef]

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).
[CrossRef]

Kleinman, D. A.

G. D. Boyd and D. A. Kleinman, “Parametric interaction of focused Gaussian light beams,” J. Appl. Phys. 39, 3597–3639 (1968).
[CrossRef]

D. A. Kleinman, A. Ashkin, and G. D. Boyd, “Second-harmonic generation of light by focused laser beams,” Phys. Rev. 145, 338–379 (1966).
[CrossRef]

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).
[CrossRef]

Kondo, T.

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).
[CrossRef]

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).
[CrossRef]

Kumagai, M.

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).
[CrossRef]

McArdle, B. J.

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).
[CrossRef]

McGillivray, G. W.

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).
[CrossRef]

Morrison, H.

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).
[CrossRef]

Nayar, B. K.

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).
[CrossRef]

Ogasawara, N.

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).
[CrossRef]

Pugh, D.

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).
[CrossRef]

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).
[CrossRef]

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).
[CrossRef]

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).
[CrossRef]

Shepherd, E. A. A.

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).
[CrossRef]

Sherwood, J. N.

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).
[CrossRef]

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).
[CrossRef]

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).
[CrossRef]

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).
[CrossRef]

Simpson, G. S.

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).
[CrossRef]

Sutter, K.

Umegaki, S.

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).
[CrossRef]

White, K. I.

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).
[CrossRef]

Wilkie, S.

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).
[CrossRef]

Yoon, C. S.

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).
[CrossRef]

Zgonik, M.

Acta Crystallogr. Sec. A

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).
[CrossRef]

J. Appl. Phys.

G. D. Boyd and D. A. Kleinman, “Parametric interaction of focused Gaussian light beams,” J. Appl. Phys. 39, 3597–3639 (1968).
[CrossRef]

J. Opt. Soc. Am. B

Mol. Cryst. Liq. Cryst.

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).
[CrossRef]

Opt. Commun.

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).
[CrossRef]

Opt. Rev.

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).
[CrossRef]

Phys. Rev.

D. A. Kleinman, A. Ashkin, and G. D. Boyd, “Second-harmonic generation of light by focused laser beams,” Phys. Rev. 145, 338–379 (1966).
[CrossRef]

Phys. Rev. A

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).
[CrossRef]

Proc. SPIE

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).
[CrossRef]

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).
[CrossRef]

Other

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.

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Figures (4)

Fig. 1
Fig. 1

Projection of the two principal dielectric systems at frequencies Ω=(2ω;ω) with axes x, y, z onto the (a*, c) plane. The thick double-headed arrow represents the intersection of the plane containing two molecular charge-transfer axes with the (a*, c) plane. The twofold crystallographic b axis and the y(2ω) and y(ω) axes are perpendicular to the (a*, c) plane. The value of the angle Θ is 41.0 deg. The values of the angles ϕΩ are listed in Table 1.

Fig. 2
Fig. 2

(a) Phase-matching locus of MBANP crystal in the (a*, b, c) coordinate system. (b) Effective nonlinear susceptibility deff on the phase-matching locus. (c) Beam walk-off angles of the second-harmonic ρ2ω and fundamental ρω waves on the phase-matching locus. The azimuthal angle ϕ is in the (a*, c) plane, as shown in the inset of (a).

Fig. 3
Fig. 3

Orthogonal phase-matching system xDω, yD2ω, and zs. The propagation of the wave at both frequencies is into the z direction. The angle ρω is the beam walk-off of the fundamental beam with the Poynting vector tω propagating in the (x, z) plane. The direction of the second-harmonic Poynting vector is denoted t2ω, and its beam walk-off angle ρ2ω. The projections of this angle onto (y, z) and (x, z) are denoted ρx2ω and ρy2ω, respectively. For clarity, the angles shown are exaggerated.

Fig. 4
Fig. 4

Projections of the far-field second-harmonic intensity distribution for the configuration of the highest figure of merit and the distance lout=5.5 m on (a) the (y, z) plane and (b) the (x, z) plane. For a definition of the planes see Fig. 3. The (x, z) projection is calculated at y=1.25 mm, where the intensity of the (y, z) projection has its maximum.

Tables (3)

Tables Icon

Table 1 Principal Values of the Refractive Indices and Relative Orientations of the Indicatrix Relative to the Coordinate System (a*, b, c) for Both Wavelengths Used in This Calculation a

Tables Icon

Table 2 Optical Absorption Ellipsoid Coefficients Referred to the Two Principal Systems of the Refractive Indices Ω=(2ω; ω) Used in the Calculation a

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Table 3 Optimal Configuration for the Highest Figure of Merit η and Consequently the Highest Second-Harmonic Conversion Efficiency from 1064 to 532 nm in the MBANP Crystal a

Equations (31)

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β=βxxx=55.5×10-51C-1m3F2
BIJK=βn cos θIx(n) cos θJx(n) cos θKx(n),
EαLOC(ω)=fα(ω)Eα(ω).
fα(ω)=nα2(ω)+23,
dIJK=Nε0 fII(2ω)fJJ(ω)fKK(ω)BIJK,
dIJ/pmV-1
=0.009.850.000.0059.130.000.0013.720.00-11.040.0013.260.00-11.620.009.360.00-11.24.
sx=sa* cos ϕΩ+sc sin ϕΩ,
sy=sb,
sz=-sa* sin ϕΩ+sc cos ϕΩ,
λαΩ2π=i,jbij cos ψi cos ψjiai cos2 ψi3/2,
cos ρΩ=tΩs
cos ρx2ω=cos ρ2ωsin δx,
cos ρy2ω=cos ρ2ωsin δy,
deff=i,j,kdijk cos τi2ω cos τjω cos τkω,
A2ωz+α2ω2 A2ω+ρy2ω A2ωx+ρx2ω A2ωy-14ikω 2A2ωx2+2A2ωy2
=-i ωdeffcn2ω Aω2 exp(iΔkz).
Aω=C1-iξ exp-(x-ρωz)2+y2w02(1-iξ)exp-αω2 z,
ξ=2(z-z0)w02kω,
B(p, q)=--A(x, y)exp[2πi(px+qy)]dxdy,
dB2ωz+α2ω2-2πi(ρy2ωp+ρx2ωq)+π2ikω (p2+q2)B2ω
=-iπγw02C22 exp[-π2w02/2(p2+q2)(1-iξ)]1-iξ×exp[(2πiρωp+iΔk-αω)z],
B2ω=πw022 B exp[-π2w02/2(p2+q2)(1-iξ)],
dBdz+σB=Q,
B=0lQ exp[σ(z-l)]dz,
σ=α2ω2-2πi(ρy2ωp+ρx2ωq),
Q=-iγC2 exp[(2πiρωp+iΔk-αω)z]1-iξ.
Pω(0)=¼ε0cnωπw02|C|2.
P2ω=½ε0cn2ω--|B2ω|2dpdq.
η=2ω2deff2ε0c3nω2n2ω tω2t2ω×G(w0, z0, Δk, l, ρx2ω, ρy2ω, ρω, α2ω, αω).
B2ω=t2ω=ωB2ω(l)exp[iπ2/k0(p2+q2)lout],

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