Abstract

To improve the frequency-doubling efficiency in type II second-harmonic generation (SHG), a fundamental walkoff-compensated SHG scheme was geometrically analyzed and its usefulness was experimentally demonstrated in a 12-mm length of KTiOPO4 with 20% power enhancement and in a 10-mm length of LiB3O5 with double enhancement.

© 1998 Optical Society of America

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References

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  1. J. J. Zondy, M. Abed, S. Khodja, “Twin-crystal walk-off-compensated type-II second-harmonic generation: single-pass and cavity-enhanced experiments in KTiOPO4,” J. Opt. Soc. Am. B 11, 2368–2379 (1994).
    [CrossRef]
  2. J. J. Zondy, M. Abed, S. Khodja, C. Bonnin, B. Rainaud, H. Albrecht, D. Lupinsky, “Walkoff-compensated type-I and type-II SHG using twin-crystal AgGaSe2 and KTiOPO4 devices,” in Nonlinear Frequency Generation and Conversion, M. C. Gupta, W. J. Koslovsky, D. C. MacPherson, eds., Proc. SPIE2700, 66–72 (1996).
    [CrossRef]
  3. G. C. Bhar, U. Chatterjee, S. Das, “A technique for the calculation of phase matching angle for type-II noncollinear sum-frequency generation in negative uniaxial crystals,” Opt. Commun. 80, 381–384 (1991).
    [CrossRef]
  4. S. X. Dou, D. Josse, J. Zyss, “Noncritical properties of noncollinear phase-matched second-harmonic and sum-frequency generation in 3-methyl-4-nitropyridine-1-oxide,” J. Opt. Soc. Am. B 8, 1732–1739 (1991).
    [CrossRef]
  5. J. J. Zondy, M. Abed, A. Clairon, “Type-II frequency doubling at λ = 1.30 μm and λ = 2.53 μm influx-grown potassium titanyl phosphate,” J. Opt. Soc. Am. B 11, 2004–2015 (1994).
    [CrossRef]
  6. J. L. Nightingale, “Fundamental walk-off compensation in KTP,” in Compact Blue-Green Lasers, Vol. 2 of 1993 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1993), pp. 443–445.
  7. J. D. Bierlein, H. Vanherzeele, “Potassium titanyl phosphate: properties and new applications,” J. Opt. Soc. Am. B 6, 622–633 (1989).
    [CrossRef]
  8. T. Y. Fan, C. E. Huang, B. Q. Hu, R. C. Eckardt, Y. X. Fan, R. L. Byer, R. S. Feigelson, “Second harmonic generation and accurate index of refraction measurements in flux-grown KTiOPO4,” Appl. Opt. 26, 2390–2394 (1987).
    [CrossRef] [PubMed]
  9. K. Kato, “Second-harmonic and sum-frequency generation to 4950 and 4589A in KTP,” IEEE J. Quantum Electron. QE-24, 3–4 (1988).
    [CrossRef]
  10. S. Lin, Z. Sun, B. Wu, C. Chen, “The nonlinear optical characteristics of a LiB3O5 crystal,” J. Appl. Phys. 67, 634–638 (1990).
    [CrossRef]
  11. K. Kato, “Tunable UV generation to 0.2325 μm in LiB3O5,” IEEE J. Quantum Electron. 26, 1173–1175 (1990).
    [CrossRef]
  12. R. C. Eckardt, H. Masuda, Y. X. Fan, R. L. Byer, “Absolute and relative nonlinear optical coefficients of KDP, KD*P, BaB2O4, LiIO3, MgO:LiNbO3, and KTP measured by phase-matched second-harmonic generation,” IEEE J. Quantum Electron. 26, 922–933 (1990).
    [CrossRef]
  13. G. D. Boyd, A. Ashkin, J. M. Dziedzic, D. A. Kleinman, “Second-harmonic generation of light with double refraction,” Phys. Rev. 137, 1305–1320 (1965).
    [CrossRef]
  14. K. Asaumi, “Second-harmonic power of KTiOPO4 with double refraction,” Appl. Phys. B 54, 265–270 (1992).
    [CrossRef]
  15. A. Cordova-Plaza, T. Y. Fan, M. J. F. Diggonet, R. L. Byer, H. J. Shaw, “Nd:MgO:LiNbO3 continuous-wave laser pumped by a laser diode,” Opt. Lett. 13, 209–211 (1988).
    [CrossRef] [PubMed]

1994 (2)

1992 (1)

K. Asaumi, “Second-harmonic power of KTiOPO4 with double refraction,” Appl. Phys. B 54, 265–270 (1992).
[CrossRef]

1991 (2)

G. C. Bhar, U. Chatterjee, S. Das, “A technique for the calculation of phase matching angle for type-II noncollinear sum-frequency generation in negative uniaxial crystals,” Opt. Commun. 80, 381–384 (1991).
[CrossRef]

S. X. Dou, D. Josse, J. Zyss, “Noncritical properties of noncollinear phase-matched second-harmonic and sum-frequency generation in 3-methyl-4-nitropyridine-1-oxide,” J. Opt. Soc. Am. B 8, 1732–1739 (1991).
[CrossRef]

1990 (3)

S. Lin, Z. Sun, B. Wu, C. Chen, “The nonlinear optical characteristics of a LiB3O5 crystal,” J. Appl. Phys. 67, 634–638 (1990).
[CrossRef]

K. Kato, “Tunable UV generation to 0.2325 μm in LiB3O5,” IEEE J. Quantum Electron. 26, 1173–1175 (1990).
[CrossRef]

R. C. Eckardt, H. Masuda, Y. X. Fan, R. L. Byer, “Absolute and relative nonlinear optical coefficients of KDP, KD*P, BaB2O4, LiIO3, MgO:LiNbO3, and KTP measured by phase-matched second-harmonic generation,” IEEE J. Quantum Electron. 26, 922–933 (1990).
[CrossRef]

1989 (1)

1988 (2)

A. Cordova-Plaza, T. Y. Fan, M. J. F. Diggonet, R. L. Byer, H. J. Shaw, “Nd:MgO:LiNbO3 continuous-wave laser pumped by a laser diode,” Opt. Lett. 13, 209–211 (1988).
[CrossRef] [PubMed]

K. Kato, “Second-harmonic and sum-frequency generation to 4950 and 4589A in KTP,” IEEE J. Quantum Electron. QE-24, 3–4 (1988).
[CrossRef]

1987 (1)

1965 (1)

G. D. Boyd, A. Ashkin, J. M. Dziedzic, D. A. Kleinman, “Second-harmonic generation of light with double refraction,” Phys. Rev. 137, 1305–1320 (1965).
[CrossRef]

Abed, M.

J. J. Zondy, M. Abed, A. Clairon, “Type-II frequency doubling at λ = 1.30 μm and λ = 2.53 μm influx-grown potassium titanyl phosphate,” J. Opt. Soc. Am. B 11, 2004–2015 (1994).
[CrossRef]

J. J. Zondy, M. Abed, S. Khodja, “Twin-crystal walk-off-compensated type-II second-harmonic generation: single-pass and cavity-enhanced experiments in KTiOPO4,” J. Opt. Soc. Am. B 11, 2368–2379 (1994).
[CrossRef]

J. J. Zondy, M. Abed, S. Khodja, C. Bonnin, B. Rainaud, H. Albrecht, D. Lupinsky, “Walkoff-compensated type-I and type-II SHG using twin-crystal AgGaSe2 and KTiOPO4 devices,” in Nonlinear Frequency Generation and Conversion, M. C. Gupta, W. J. Koslovsky, D. C. MacPherson, eds., Proc. SPIE2700, 66–72 (1996).
[CrossRef]

Albrecht, H.

J. J. Zondy, M. Abed, S. Khodja, C. Bonnin, B. Rainaud, H. Albrecht, D. Lupinsky, “Walkoff-compensated type-I and type-II SHG using twin-crystal AgGaSe2 and KTiOPO4 devices,” in Nonlinear Frequency Generation and Conversion, M. C. Gupta, W. J. Koslovsky, D. C. MacPherson, eds., Proc. SPIE2700, 66–72 (1996).
[CrossRef]

Asaumi, K.

K. Asaumi, “Second-harmonic power of KTiOPO4 with double refraction,” Appl. Phys. B 54, 265–270 (1992).
[CrossRef]

Ashkin, A.

G. D. Boyd, A. Ashkin, J. M. Dziedzic, D. A. Kleinman, “Second-harmonic generation of light with double refraction,” Phys. Rev. 137, 1305–1320 (1965).
[CrossRef]

Bhar, G. C.

G. C. Bhar, U. Chatterjee, S. Das, “A technique for the calculation of phase matching angle for type-II noncollinear sum-frequency generation in negative uniaxial crystals,” Opt. Commun. 80, 381–384 (1991).
[CrossRef]

Bierlein, J. D.

Bonnin, C.

J. J. Zondy, M. Abed, S. Khodja, C. Bonnin, B. Rainaud, H. Albrecht, D. Lupinsky, “Walkoff-compensated type-I and type-II SHG using twin-crystal AgGaSe2 and KTiOPO4 devices,” in Nonlinear Frequency Generation and Conversion, M. C. Gupta, W. J. Koslovsky, D. C. MacPherson, eds., Proc. SPIE2700, 66–72 (1996).
[CrossRef]

Boyd, G. D.

G. D. Boyd, A. Ashkin, J. M. Dziedzic, D. A. Kleinman, “Second-harmonic generation of light with double refraction,” Phys. Rev. 137, 1305–1320 (1965).
[CrossRef]

Byer, R. L.

Chatterjee, U.

G. C. Bhar, U. Chatterjee, S. Das, “A technique for the calculation of phase matching angle for type-II noncollinear sum-frequency generation in negative uniaxial crystals,” Opt. Commun. 80, 381–384 (1991).
[CrossRef]

Chen, C.

S. Lin, Z. Sun, B. Wu, C. Chen, “The nonlinear optical characteristics of a LiB3O5 crystal,” J. Appl. Phys. 67, 634–638 (1990).
[CrossRef]

Clairon, A.

Cordova-Plaza, A.

Das, S.

G. C. Bhar, U. Chatterjee, S. Das, “A technique for the calculation of phase matching angle for type-II noncollinear sum-frequency generation in negative uniaxial crystals,” Opt. Commun. 80, 381–384 (1991).
[CrossRef]

Diggonet, M. J. F.

Dou, S. X.

Dziedzic, J. M.

G. D. Boyd, A. Ashkin, J. M. Dziedzic, D. A. Kleinman, “Second-harmonic generation of light with double refraction,” Phys. Rev. 137, 1305–1320 (1965).
[CrossRef]

Eckardt, R. C.

R. C. Eckardt, H. Masuda, Y. X. Fan, R. L. Byer, “Absolute and relative nonlinear optical coefficients of KDP, KD*P, BaB2O4, LiIO3, MgO:LiNbO3, and KTP measured by phase-matched second-harmonic generation,” IEEE J. Quantum Electron. 26, 922–933 (1990).
[CrossRef]

T. Y. Fan, C. E. Huang, B. Q. Hu, R. C. Eckardt, Y. X. Fan, R. L. Byer, R. S. Feigelson, “Second harmonic generation and accurate index of refraction measurements in flux-grown KTiOPO4,” Appl. Opt. 26, 2390–2394 (1987).
[CrossRef] [PubMed]

Fan, T. Y.

Fan, Y. X.

R. C. Eckardt, H. Masuda, Y. X. Fan, R. L. Byer, “Absolute and relative nonlinear optical coefficients of KDP, KD*P, BaB2O4, LiIO3, MgO:LiNbO3, and KTP measured by phase-matched second-harmonic generation,” IEEE J. Quantum Electron. 26, 922–933 (1990).
[CrossRef]

T. Y. Fan, C. E. Huang, B. Q. Hu, R. C. Eckardt, Y. X. Fan, R. L. Byer, R. S. Feigelson, “Second harmonic generation and accurate index of refraction measurements in flux-grown KTiOPO4,” Appl. Opt. 26, 2390–2394 (1987).
[CrossRef] [PubMed]

Feigelson, R. S.

Hu, B. Q.

Huang, C. E.

Josse, D.

Kato, K.

K. Kato, “Tunable UV generation to 0.2325 μm in LiB3O5,” IEEE J. Quantum Electron. 26, 1173–1175 (1990).
[CrossRef]

K. Kato, “Second-harmonic and sum-frequency generation to 4950 and 4589A in KTP,” IEEE J. Quantum Electron. QE-24, 3–4 (1988).
[CrossRef]

Khodja, S.

J. J. Zondy, M. Abed, S. Khodja, “Twin-crystal walk-off-compensated type-II second-harmonic generation: single-pass and cavity-enhanced experiments in KTiOPO4,” J. Opt. Soc. Am. B 11, 2368–2379 (1994).
[CrossRef]

J. J. Zondy, M. Abed, S. Khodja, C. Bonnin, B. Rainaud, H. Albrecht, D. Lupinsky, “Walkoff-compensated type-I and type-II SHG using twin-crystal AgGaSe2 and KTiOPO4 devices,” in Nonlinear Frequency Generation and Conversion, M. C. Gupta, W. J. Koslovsky, D. C. MacPherson, eds., Proc. SPIE2700, 66–72 (1996).
[CrossRef]

Kleinman, D. A.

G. D. Boyd, A. Ashkin, J. M. Dziedzic, D. A. Kleinman, “Second-harmonic generation of light with double refraction,” Phys. Rev. 137, 1305–1320 (1965).
[CrossRef]

Lin, S.

S. Lin, Z. Sun, B. Wu, C. Chen, “The nonlinear optical characteristics of a LiB3O5 crystal,” J. Appl. Phys. 67, 634–638 (1990).
[CrossRef]

Lupinsky, D.

J. J. Zondy, M. Abed, S. Khodja, C. Bonnin, B. Rainaud, H. Albrecht, D. Lupinsky, “Walkoff-compensated type-I and type-II SHG using twin-crystal AgGaSe2 and KTiOPO4 devices,” in Nonlinear Frequency Generation and Conversion, M. C. Gupta, W. J. Koslovsky, D. C. MacPherson, eds., Proc. SPIE2700, 66–72 (1996).
[CrossRef]

Masuda, H.

R. C. Eckardt, H. Masuda, Y. X. Fan, R. L. Byer, “Absolute and relative nonlinear optical coefficients of KDP, KD*P, BaB2O4, LiIO3, MgO:LiNbO3, and KTP measured by phase-matched second-harmonic generation,” IEEE J. Quantum Electron. 26, 922–933 (1990).
[CrossRef]

Nightingale, J. L.

J. L. Nightingale, “Fundamental walk-off compensation in KTP,” in Compact Blue-Green Lasers, Vol. 2 of 1993 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1993), pp. 443–445.

Rainaud, B.

J. J. Zondy, M. Abed, S. Khodja, C. Bonnin, B. Rainaud, H. Albrecht, D. Lupinsky, “Walkoff-compensated type-I and type-II SHG using twin-crystal AgGaSe2 and KTiOPO4 devices,” in Nonlinear Frequency Generation and Conversion, M. C. Gupta, W. J. Koslovsky, D. C. MacPherson, eds., Proc. SPIE2700, 66–72 (1996).
[CrossRef]

Shaw, H. J.

Sun, Z.

S. Lin, Z. Sun, B. Wu, C. Chen, “The nonlinear optical characteristics of a LiB3O5 crystal,” J. Appl. Phys. 67, 634–638 (1990).
[CrossRef]

Vanherzeele, H.

Wu, B.

S. Lin, Z. Sun, B. Wu, C. Chen, “The nonlinear optical characteristics of a LiB3O5 crystal,” J. Appl. Phys. 67, 634–638 (1990).
[CrossRef]

Zondy, J. J.

J. J. Zondy, M. Abed, A. Clairon, “Type-II frequency doubling at λ = 1.30 μm and λ = 2.53 μm influx-grown potassium titanyl phosphate,” J. Opt. Soc. Am. B 11, 2004–2015 (1994).
[CrossRef]

J. J. Zondy, M. Abed, S. Khodja, “Twin-crystal walk-off-compensated type-II second-harmonic generation: single-pass and cavity-enhanced experiments in KTiOPO4,” J. Opt. Soc. Am. B 11, 2368–2379 (1994).
[CrossRef]

J. J. Zondy, M. Abed, S. Khodja, C. Bonnin, B. Rainaud, H. Albrecht, D. Lupinsky, “Walkoff-compensated type-I and type-II SHG using twin-crystal AgGaSe2 and KTiOPO4 devices,” in Nonlinear Frequency Generation and Conversion, M. C. Gupta, W. J. Koslovsky, D. C. MacPherson, eds., Proc. SPIE2700, 66–72 (1996).
[CrossRef]

Zyss, J.

Appl. Opt. (1)

Appl. Phys. B (1)

K. Asaumi, “Second-harmonic power of KTiOPO4 with double refraction,” Appl. Phys. B 54, 265–270 (1992).
[CrossRef]

IEEE J. Quantum Electron. (3)

K. Kato, “Tunable UV generation to 0.2325 μm in LiB3O5,” IEEE J. Quantum Electron. 26, 1173–1175 (1990).
[CrossRef]

R. C. Eckardt, H. Masuda, Y. X. Fan, R. L. Byer, “Absolute and relative nonlinear optical coefficients of KDP, KD*P, BaB2O4, LiIO3, MgO:LiNbO3, and KTP measured by phase-matched second-harmonic generation,” IEEE J. Quantum Electron. 26, 922–933 (1990).
[CrossRef]

K. Kato, “Second-harmonic and sum-frequency generation to 4950 and 4589A in KTP,” IEEE J. Quantum Electron. QE-24, 3–4 (1988).
[CrossRef]

J. Appl. Phys. (1)

S. Lin, Z. Sun, B. Wu, C. Chen, “The nonlinear optical characteristics of a LiB3O5 crystal,” J. Appl. Phys. 67, 634–638 (1990).
[CrossRef]

J. Opt. Soc. Am. B (4)

Opt. Commun. (1)

G. C. Bhar, U. Chatterjee, S. Das, “A technique for the calculation of phase matching angle for type-II noncollinear sum-frequency generation in negative uniaxial crystals,” Opt. Commun. 80, 381–384 (1991).
[CrossRef]

Opt. Lett. (1)

Phys. Rev. (1)

G. D. Boyd, A. Ashkin, J. M. Dziedzic, D. A. Kleinman, “Second-harmonic generation of light with double refraction,” Phys. Rev. 137, 1305–1320 (1965).
[CrossRef]

Other (2)

J. L. Nightingale, “Fundamental walk-off compensation in KTP,” in Compact Blue-Green Lasers, Vol. 2 of 1993 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1993), pp. 443–445.

J. J. Zondy, M. Abed, S. Khodja, C. Bonnin, B. Rainaud, H. Albrecht, D. Lupinsky, “Walkoff-compensated type-I and type-II SHG using twin-crystal AgGaSe2 and KTiOPO4 devices,” in Nonlinear Frequency Generation and Conversion, M. C. Gupta, W. J. Koslovsky, D. C. MacPherson, eds., Proc. SPIE2700, 66–72 (1996).
[CrossRef]

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Figures (5)

Fig. 1
Fig. 1

Schematic illustration of the XY refractive-index plane of KTP showing the FWC type II SHG scheme. See text for details.

Fig. 2
Fig. 2

YZ refractive-index plane of LBO showing the FWC type II SHG scheme. See text for details.

Fig. 3
Fig. 3

Experimental and calculated type II SH power of 6-mm-long KTP as a function of beam waist. Open square, filled circle, and open circle represent the SH power for 29.5-, 28.5-, and 24.5-deg cut crystals. The solid and dashed curves represent the calculated power for FWC and scalar type II SHG, respectively. Three data coincide at the 89-μm beam waist.

Fig. 4
Fig. 4

Experimental and calculated SH power of 12-mm-long KTP as a function of beam waist. Symbol notations are the same as in Fig. 3. More than 20% power enhancement was observed in 29.5- and 28.5-deg cut crystals than in a conventional 24.5-deg cut crystal at a near-optimum focusing condition.

Fig. 5
Fig. 5

Experimental and calculated type II and type I SH power of 10-mm effective length LBO as a function of beam waist. Filled and open circles represent the type II SH power for 40- (FWC) and 20-deg cut crystals. The solid and dashed curves show the calculated power for FWC type II and conventional scalar type II SHG, respectively. Double power enhancement was observed in a 40-deg cut crystal compared with a conventional 20-deg cut crystal at a near-optimum focusing condition. The open squares and dash–dot curve represent the experimental and calculated type I SH power as a function of beam waist.

Tables (3)

Tables Icon

Table 1 Phase-Matched and Other Relevant Angles for KTP at 1064-nm Incident Wavelength as Calculated with Sellmeier Equations

Tables Icon

Table 2 Phase-Matched and Other Relevant Angles for LBO at 1064-nm Incident Wavelength as Calculated with Sellmeier Equations

Tables Icon

Table 3 Figures that Affect the LBO SH Power for One Type I and Two Type II Phase-Matching Schemes

Equations (10)

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2 n e 2 ω sin   ϕ e 2 ω = n z ω sin   ϕ o ω + n e ω sin   ϕ e ω ,
2 n e 2 ω cos   ϕ e 2 ω = n z ω cos   ϕ o ω + n e ω cos   ϕ e ω ,
n y ω / n x ω 2 tan   ϕ e ω = tan   ϕ o ω .
G t = 2 π t 2 0 t erf τ 2 d τ ,
t = 2 ρ L / w 0 ,
G t = ρ 2 2 + ρ 3 2 1 / 2 ρ 2 + ρ 3 π α + 1 1 / 2 1 t 2 0 t d τ × exp - a a + 1 τ 2 erf τ a + 1 a + 2 1 / 2 + erf a + 1 a + 2 1 / 2 t - τ a + 1 ,
t = ρ 2 2 + ρ 3 2 1 / 2 L / w 0 ,
a = 2 ρ 1 ρ 2 + ρ 3 2 ,
G t = π 3 1 t 2 0 t d τ   exp - 2 3   τ 2 × erf τ 12 + erf 3 4 t - τ 3 ,
t = ρ L / w 0 ,

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