Abstract

We report that the optical frame orientation is wavelength independent over the entire transmission range of the nonlinear monoclinic crystal Ca4YO(BO3)3 (YCOB). We used a new method based on internal conical refraction associated with x-ray diffraction on a single crystal cut as a sphere. Direct phase-matching-angle measurements of second-harmonic generation were performed in the principal planes of the spherical crystal for fundamental wavelengths up to 3.5 µm, and three absorption peaks were measured above 2.4 µm. By fitting all data simultaneously, we found new dispersion equations of the refractive indices of YCOB.

© 2004 Optical Society of America

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References

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  1. F. Mougel, “Les oxoborates de calcium et de terres rares (TR) Ca 4 TRO(BO 3)3. Une nouvelle famille de matériaux à fonctions multiples pour l’optique: croissance cristalline, propriétés non linéaires et laser,” Ph.D. thesis (Pierre et Marie Curie University, Paris, 1999).
  2. H. Hellwig, J. Liebertz, and L. Bohaty, “Linear optical properties of the monoclinic bismuth BiB3O6,” J. Appl. Phys. 88, 240–244 (2000).
    [CrossRef]
  3. J. P. Fève, B. Boulanger, and G. Marnier, “Experimental study of internal and external conical refractions in KTP,” Opt. Commun. 105, 243–252 (1994).
    [CrossRef]
  4. J. P. Fève, B. Boulanger, O. Pacaud, I. Rousseau, B. Ménaert, G. Marnier, P. Villeval, C. Bonnin, and G. M. Loiacono, “Phase-matching measurements and Sellmeier equations over the complete transparency range of KTiOAsO4, RbTiOAsO4, and CsTiOAsO4,” J. Opt. Soc. Am. B 17, 775–780 (2000).
    [CrossRef]
  5. D. A. Roberts, “Simplified characterization of uniaxial and biaxial nonlinear optical crystals: a plea for standardization of nomenclature and conventions,” IEEE J. Quantum Electron. 28, 2057–2074 (1992).
    [CrossRef]
  6. C. Chen, Z. Shao, J. Jiang, J. Wei, J. Lin, J. Wang, N. Ye, J. Lv, B. Wu, M. Jiang, M. Yoshimura, Y. Mori, and T. Sasaki, “Determination of the nonlinear optical coefficients of YCa4O(BO3)3 crystal,” J. Opt. Soc. Am. B 17, 566–571 (2000).
    [CrossRef]
  7. M. V. Pack, A. V. Smith, and D. J. Armstrong, “The d factory: a program to accurately measure d tensors of nonlinear crystals,” in Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 2003), CthU5.

2000 (3)

1994 (1)

J. P. Fève, B. Boulanger, and G. Marnier, “Experimental study of internal and external conical refractions in KTP,” Opt. Commun. 105, 243–252 (1994).
[CrossRef]

1992 (1)

D. A. Roberts, “Simplified characterization of uniaxial and biaxial nonlinear optical crystals: a plea for standardization of nomenclature and conventions,” IEEE J. Quantum Electron. 28, 2057–2074 (1992).
[CrossRef]

Bohaty, L.

H. Hellwig, J. Liebertz, and L. Bohaty, “Linear optical properties of the monoclinic bismuth BiB3O6,” J. Appl. Phys. 88, 240–244 (2000).
[CrossRef]

Bonnin, C.

Boulanger, B.

Chen, C.

Fève, J. P.

Hellwig, H.

H. Hellwig, J. Liebertz, and L. Bohaty, “Linear optical properties of the monoclinic bismuth BiB3O6,” J. Appl. Phys. 88, 240–244 (2000).
[CrossRef]

Jiang, J.

Jiang, M.

Liebertz, J.

H. Hellwig, J. Liebertz, and L. Bohaty, “Linear optical properties of the monoclinic bismuth BiB3O6,” J. Appl. Phys. 88, 240–244 (2000).
[CrossRef]

Lin, J.

Loiacono, G. M.

Lv, J.

Marnier, G.

Ménaert, B.

Mori, Y.

Pacaud, O.

Roberts, D. A.

D. A. Roberts, “Simplified characterization of uniaxial and biaxial nonlinear optical crystals: a plea for standardization of nomenclature and conventions,” IEEE J. Quantum Electron. 28, 2057–2074 (1992).
[CrossRef]

Rousseau, I.

Sasaki, T.

Shao, Z.

Villeval, P.

Wang, J.

Wei, J.

Wu, B.

Ye, N.

Yoshimura, M.

IEEE J. Quantum Electron. (1)

D. A. Roberts, “Simplified characterization of uniaxial and biaxial nonlinear optical crystals: a plea for standardization of nomenclature and conventions,” IEEE J. Quantum Electron. 28, 2057–2074 (1992).
[CrossRef]

J. Appl. Phys. (1)

H. Hellwig, J. Liebertz, and L. Bohaty, “Linear optical properties of the monoclinic bismuth BiB3O6,” J. Appl. Phys. 88, 240–244 (2000).
[CrossRef]

J. Opt. Soc. Am. B (2)

Opt. Commun. (1)

J. P. Fève, B. Boulanger, and G. Marnier, “Experimental study of internal and external conical refractions in KTP,” Opt. Commun. 105, 243–252 (1994).
[CrossRef]

Other (2)

F. Mougel, “Les oxoborates de calcium et de terres rares (TR) Ca 4 TRO(BO 3)3. Une nouvelle famille de matériaux à fonctions multiples pour l’optique: croissance cristalline, propriétés non linéaires et laser,” Ph.D. thesis (Pierre et Marie Curie University, Paris, 1999).

M. V. Pack, A. V. Smith, and D. J. Armstrong, “The d factory: a program to accurately measure d tensors of nonlinear crystals,” in Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 2003), CthU5.

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Figures (5)

Fig. 1
Fig. 1

Relative orientation between the crystallographical frame (a, b, and c) and the optical frame (x, y, and z). Vz is the angle between the z axis and the optical axes denoted by OA. The three pictures correspond to the refracted beams observed on a screen placed behind the YCOB sphere when the wave vector of an incident He–Ne unpolarized beam is along an optical axis, an axis of the optical frame, and an axis of the crystallographical frame in the xz plane.

Fig. 2
Fig. 2

(a) Angle between the a axis and the z axis as a function of wavelength. (b) Angle between the optical axes and the z axis as a function of wavelength. The circles are relative to our experimental data. The dashed–dotted curve refers to the calculation from the Sellmeier equations of Ref. 1, and the solid curve is relative to the calculation performed in the present study.

Fig. 3
Fig. 3

(a) Y-axis unpolarized transmission spectrum of a 5-mm-long YCOB slab as a function of the wavelength. P1, P2, and P3 are the three infrared absorption peaks. (b) Type I SHG phase-matching angles of YCOB in the xz plane. The symbols are relative to our experimental data. The dashed–dotted curve refers to the calculation from the Sellmeier equations of Ref. 1, and the solid curve is relative to the calculation performed in this study.

Fig. 4
Fig. 4

Types (a) I and (b) II SHG phase-matching angles of YCOB in the xy plane. The symbols are relative to our experimental data. Dashed–dotted curves refer to the calculation from the Sellmeier equations of Ref. 1, and solid curves are relative to the calculation performed in the present study.

Fig. 5
Fig. 5

Types (a) I and (b) II SHG phase-matching angles of YCOB in the yz plane. The symbols are relative to our experimental data. Dashed–dotted curves refer to the calculation from the Sellmeier equations of Ref. 1, and solid curves are relative to calculations performed in this study.

Tables (2)

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Table 1 SHG Phase-Matching Relations Associated with a Nonzero Effective Coefficient in the Principal Planes xy, yz, and xza

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Table 2 Fitting Parameters of the Dispersion Equations of the Principal Refractive Indices nx, ny, and nz of YCOB at Room Temperature

Equations (1)

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ni2=Ai+Biλ2+Ciλ4-Diλ2-Eiλ4,

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