K. Drühl, “Dispersion-induced generation of higher order transversal modes in singly-resonant optical parametric oscillators,” Opt. Commun. 145, 5–8 (1998).

[CrossRef]

J. Knittel and A. H. Kung, “Fourth harmonic generation in a resonant ring cavity,” IEEE J. Quantum Electron. QE-33, 2021–2028 (1997).

[CrossRef]

K. Koch, G. T. Moore, and M. E. Dearborn, “Raman oscillation with intracavity second-harmonic generation,” IEEE J. Quantum Electron. QE-33, 1743–1748 (1997).

[CrossRef]

J. Knittel and A. H. Kung, “39.5% conversion of low-power Q-switched Nd:YAG laser radiation of 266 nm by use of a resonant ring cavity,” Opt. Lett. 22, 366–368 (1997).

[CrossRef]
[PubMed]

D. H. Jundt, “Temperature-dependent Sellmeier equation for the index of refraction, n_{e}, in congruent lithium niobate,” Opt. Lett. 22, 1553–1555 (1997).

[CrossRef]

G. T. Moore and K. Koch, “The tandem optical parametric oscillator,” IEEE J. Quantum Electron. QE-32, 2085–2094 (1996).

[CrossRef]

G. T. Moore, K. Koch, and E. C. Cheung, “Theory of multi-stage intracavity frequency conversion in optical parametric oscillators,” in Solid State Lasers and Nonlinear Crystals, G. J. Quarles, L. Esterowitz, and L. K. Cheng, eds., Proc. SPIE 2379, 84–94 (1995).

[CrossRef]

G. T. Moore, K. Koch, and E. C. Cheung, “Optical parametric oscillation with intracavity second-harmonic generation,” Opt. Commun. 113, 463–470 (1995).

[CrossRef]

G. T. Moore and K. Koch, “Optical parametric oscillation with detuned intracavity sum-frequency generation,” IEEE J. Quantum Electron. QE-29, 2334–2341 (1993).

[CrossRef]

M. Watanabe, K. Hayasaka, H. Imajo, and S. Urabe, “Continuous-wave sum-frequency generation near 194 nm with a collinear double enhancement cavity,” Opt. Commun. 97, 225–227 (1993).

[CrossRef]

K. Fiedler, S. Schiller, R. Paschotta, P. Kürz, and J. Mlynek, “Highly efficient frequency doubling with a doubly resonant monolithic total-internal-reflection ring resonator,” Opt. Lett. 18, 1786–1788 (1993).

[CrossRef]
[PubMed]

Z. Y. Ou and H. J. Kimble, “Enhanced conversion efficiency for harmonic generation with double resonance,” Opt. Lett. 18, 1053–1055 (1993).

[CrossRef]
[PubMed]

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]

G. T. Maker and A. I. Ferguson, “Efficient frequency doubling of a diode-laser-pumped Nd:YAG laser using an external resonant cavity,” Opt. Commun. 76, 369–375 (1990).

[CrossRef]

W. J. Kozlovsky, C. D. Nabors, and R. L. Byer, “Efficient 2nd harmonic-generation of a diode-laser-pumped cw Nd-YAG laser using monolithic MgO-LiNbO_{3} external resonant cavities,” IEEE J. Quantum Electron. QE-24, 913–919 (1988).

[CrossRef]

R. W. P. Drever, J. L. Hall, F. V. Kowalski, J. Hough, G. M. Ford, A. J. Munley, and H. Ward, “Laser phase and frequency stabilization using an optical resonator,” Appl. Phys. B: Photophys. Laser Chem. 31, 97–105 (1983).

[CrossRef]

R. Asby, “Theory of optical parametric amplification from a focused Gaussian beam,” Phys. Rev. B 2, 4273–4282 (1970).

[CrossRef]

R. Asby, “Optical-mode interaction in nonlinear media,” Phys. Rev. 187, 1062–1069 (1969).

[CrossRef]

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

[CrossRef]

A. Ashkin, G. D. Boyd, and J. M. Dziedzic, “Resonant optical second harmonic generation and mixing,” IEEE J. Quantum Electron. QE-2, 109–123 (1966).

[CrossRef]

R. C. Miller, “Optical second harmonic generation in piezoelectric crystals,” Appl. Phys. Lett. 5, 17–19 (1964).

[CrossRef]

R. Asby, “Theory of optical parametric amplification from a focused Gaussian beam,” Phys. Rev. B 2, 4273–4282 (1970).

[CrossRef]

R. Asby, “Optical-mode interaction in nonlinear media,” Phys. Rev. 187, 1062–1069 (1969).

[CrossRef]

A. Ashkin, G. D. Boyd, and J. M. Dziedzic, “Resonant optical second harmonic generation and mixing,” IEEE J. Quantum Electron. QE-2, 109–123 (1966).

[CrossRef]

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

[CrossRef]

A. Ashkin, G. D. Boyd, and J. M. Dziedzic, “Resonant optical second harmonic generation and mixing,” IEEE J. Quantum Electron. QE-2, 109–123 (1966).

[CrossRef]

D. H. Jundt, G. A. Magel, M. M. Fejer, and R. L. Byer, “Periodically poled LiNbO_{3} for high-efficiency second-harmonic generation,” Appl. Phys. Lett. 59, 2657–2659 (1991).

[CrossRef]

W. J. Kozlovsky, C. D. Nabors, and R. L. Byer, “Efficient 2nd harmonic-generation of a diode-laser-pumped cw Nd-YAG laser using monolithic MgO-LiNbO_{3} external resonant cavities,” IEEE J. Quantum Electron. QE-24, 913–919 (1988).

[CrossRef]

W. J. Kozlovsky, C. D. Nabors, and R. L. Byer, “Second-harmonic generation of a continuous-wave diode-pumped Nd:YAG laser using an externally resonant cavity,” Opt. Lett. 12, 1014–1016 (1987).

[CrossRef]
[PubMed]

G. T. Moore, K. Koch, and E. C. Cheung, “Theory of multi-stage intracavity frequency conversion in optical parametric oscillators,” in Solid State Lasers and Nonlinear Crystals, G. J. Quarles, L. Esterowitz, and L. K. Cheng, eds., Proc. SPIE 2379, 84–94 (1995).

[CrossRef]

G. T. Moore, K. Koch, and E. C. Cheung, “Optical parametric oscillation with intracavity second-harmonic generation,” Opt. Commun. 113, 463–470 (1995).

[CrossRef]

K. Koch, G. T. Moore, and M. E. Dearborn, “Raman oscillation with intracavity second-harmonic generation,” IEEE J. Quantum Electron. QE-33, 1743–1748 (1997).

[CrossRef]

R. W. P. Drever, J. L. Hall, F. V. Kowalski, J. Hough, G. M. Ford, A. J. Munley, and H. Ward, “Laser phase and frequency stabilization using an optical resonator,” Appl. Phys. B: Photophys. Laser Chem. 31, 97–105 (1983).

[CrossRef]

K. Drühl, “Dispersion-induced generation of higher order transversal modes in singly-resonant optical parametric oscillators,” Opt. Commun. 145, 5–8 (1998).

[CrossRef]

A. Ashkin, G. D. Boyd, and J. M. Dziedzic, “Resonant optical second harmonic generation and mixing,” IEEE J. Quantum Electron. QE-2, 109–123 (1966).

[CrossRef]

D. H. Jundt, G. A. Magel, M. M. Fejer, and R. L. Byer, “Periodically poled LiNbO_{3} for high-efficiency second-harmonic generation,” Appl. Phys. Lett. 59, 2657–2659 (1991).

[CrossRef]

G. T. Maker and A. I. Ferguson, “Efficient frequency doubling of a diode-laser-pumped Nd:YAG laser using an external resonant cavity,” Opt. Commun. 76, 369–375 (1990).

[CrossRef]

R. W. P. Drever, J. L. Hall, F. V. Kowalski, J. Hough, G. M. Ford, A. J. Munley, and H. Ward, “Laser phase and frequency stabilization using an optical resonator,” Appl. Phys. B: Photophys. Laser Chem. 31, 97–105 (1983).

[CrossRef]

R. W. P. Drever, J. L. Hall, F. V. Kowalski, J. Hough, G. M. Ford, A. J. Munley, and H. Ward, “Laser phase and frequency stabilization using an optical resonator,” Appl. Phys. B: Photophys. Laser Chem. 31, 97–105 (1983).

[CrossRef]

M. Watanabe, K. Hayasaka, H. Imajo, and S. Urabe, “Continuous-wave sum-frequency generation near 194 nm with a collinear double enhancement cavity,” Opt. Commun. 97, 225–227 (1993).

[CrossRef]

R. W. P. Drever, J. L. Hall, F. V. Kowalski, J. Hough, G. M. Ford, A. J. Munley, and H. Ward, “Laser phase and frequency stabilization using an optical resonator,” Appl. Phys. B: Photophys. Laser Chem. 31, 97–105 (1983).

[CrossRef]

M. Watanabe, K. Hayasaka, H. Imajo, and S. Urabe, “Continuous-wave sum-frequency generation near 194 nm with a collinear double enhancement cavity,” Opt. Commun. 97, 225–227 (1993).

[CrossRef]

D. H. Jundt, “Temperature-dependent Sellmeier equation for the index of refraction, n_{e}, in congruent lithium niobate,” Opt. Lett. 22, 1553–1555 (1997).

[CrossRef]

D. H. Jundt, G. A. Magel, M. M. Fejer, and R. L. Byer, “Periodically poled LiNbO_{3} for high-efficiency second-harmonic generation,” Appl. Phys. Lett. 59, 2657–2659 (1991).

[CrossRef]

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

[CrossRef]

K. Koch, G. T. Moore, and M. E. Dearborn, “Raman oscillation with intracavity second-harmonic generation,” IEEE J. Quantum Electron. QE-33, 1743–1748 (1997).

[CrossRef]

G. T. Moore and K. Koch, “The tandem optical parametric oscillator,” IEEE J. Quantum Electron. QE-32, 2085–2094 (1996).

[CrossRef]

G. T. Moore, K. Koch, and E. C. Cheung, “Optical parametric oscillation with intracavity second-harmonic generation,” Opt. Commun. 113, 463–470 (1995).

[CrossRef]

G. T. Moore, K. Koch, and E. C. Cheung, “Theory of multi-stage intracavity frequency conversion in optical parametric oscillators,” in Solid State Lasers and Nonlinear Crystals, G. J. Quarles, L. Esterowitz, and L. K. Cheng, eds., Proc. SPIE 2379, 84–94 (1995).

[CrossRef]

G. T. Moore and K. Koch, “Optical parametric oscillation with detuned intracavity sum-frequency generation,” IEEE J. Quantum Electron. QE-29, 2334–2341 (1993).

[CrossRef]

R. W. P. Drever, J. L. Hall, F. V. Kowalski, J. Hough, G. M. Ford, A. J. Munley, and H. Ward, “Laser phase and frequency stabilization using an optical resonator,” Appl. Phys. B: Photophys. Laser Chem. 31, 97–105 (1983).

[CrossRef]

W. J. Kozlovsky, C. D. Nabors, and R. L. Byer, “Efficient 2nd harmonic-generation of a diode-laser-pumped cw Nd-YAG laser using monolithic MgO-LiNbO_{3} external resonant cavities,” IEEE J. Quantum Electron. QE-24, 913–919 (1988).

[CrossRef]

W. J. Kozlovsky, C. D. Nabors, and R. L. Byer, “Second-harmonic generation of a continuous-wave diode-pumped Nd:YAG laser using an externally resonant cavity,” Opt. Lett. 12, 1014–1016 (1987).

[CrossRef]
[PubMed]

D. H. Jundt, G. A. Magel, M. M. Fejer, and R. L. Byer, “Periodically poled LiNbO_{3} for high-efficiency second-harmonic generation,” Appl. Phys. Lett. 59, 2657–2659 (1991).

[CrossRef]

G. T. Maker and A. I. Ferguson, “Efficient frequency doubling of a diode-laser-pumped Nd:YAG laser using an external resonant cavity,” Opt. Commun. 76, 369–375 (1990).

[CrossRef]

R. C. Miller, “Optical second harmonic generation in piezoelectric crystals,” Appl. Phys. Lett. 5, 17–19 (1964).

[CrossRef]

K. Koch, G. T. Moore, and M. E. Dearborn, “Raman oscillation with intracavity second-harmonic generation,” IEEE J. Quantum Electron. QE-33, 1743–1748 (1997).

[CrossRef]

G. T. Moore and K. Koch, “The tandem optical parametric oscillator,” IEEE J. Quantum Electron. QE-32, 2085–2094 (1996).

[CrossRef]

G. T. Moore, K. Koch, and E. C. Cheung, “Theory of multi-stage intracavity frequency conversion in optical parametric oscillators,” in Solid State Lasers and Nonlinear Crystals, G. J. Quarles, L. Esterowitz, and L. K. Cheng, eds., Proc. SPIE 2379, 84–94 (1995).

[CrossRef]

G. T. Moore, K. Koch, and E. C. Cheung, “Optical parametric oscillation with intracavity second-harmonic generation,” Opt. Commun. 113, 463–470 (1995).

[CrossRef]

G. T. Moore and K. Koch, “Optical parametric oscillation with detuned intracavity sum-frequency generation,” IEEE J. Quantum Electron. QE-29, 2334–2341 (1993).

[CrossRef]

R. W. P. Drever, J. L. Hall, F. V. Kowalski, J. Hough, G. M. Ford, A. J. Munley, and H. Ward, “Laser phase and frequency stabilization using an optical resonator,” Appl. Phys. B: Photophys. Laser Chem. 31, 97–105 (1983).

[CrossRef]

W. J. Kozlovsky, C. D. Nabors, and R. L. Byer, “Efficient 2nd harmonic-generation of a diode-laser-pumped cw Nd-YAG laser using monolithic MgO-LiNbO_{3} external resonant cavities,” IEEE J. Quantum Electron. QE-24, 913–919 (1988).

[CrossRef]

W. J. Kozlovsky, C. D. Nabors, and R. L. Byer, “Second-harmonic generation of a continuous-wave diode-pumped Nd:YAG laser using an externally resonant cavity,” Opt. Lett. 12, 1014–1016 (1987).

[CrossRef]
[PubMed]

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]

M. Watanabe, K. Hayasaka, H. Imajo, and S. Urabe, “Continuous-wave sum-frequency generation near 194 nm with a collinear double enhancement cavity,” Opt. Commun. 97, 225–227 (1993).

[CrossRef]

R. W. P. Drever, J. L. Hall, F. V. Kowalski, J. Hough, G. M. Ford, A. J. Munley, and H. Ward, “Laser phase and frequency stabilization using an optical resonator,” Appl. Phys. B: Photophys. Laser Chem. 31, 97–105 (1983).

[CrossRef]

M. Watanabe, K. Hayasaka, H. Imajo, and S. Urabe, “Continuous-wave sum-frequency generation near 194 nm with a collinear double enhancement cavity,” Opt. Commun. 97, 225–227 (1993).

[CrossRef]

R. W. P. Drever, J. L. Hall, F. V. Kowalski, J. Hough, G. M. Ford, A. J. Munley, and H. Ward, “Laser phase and frequency stabilization using an optical resonator,” Appl. Phys. B: Photophys. Laser Chem. 31, 97–105 (1983).

[CrossRef]

R. C. Miller, “Optical second harmonic generation in piezoelectric crystals,” Appl. Phys. Lett. 5, 17–19 (1964).

[CrossRef]

D. H. Jundt, G. A. Magel, M. M. Fejer, and R. L. Byer, “Periodically poled LiNbO_{3} for high-efficiency second-harmonic generation,” Appl. Phys. Lett. 59, 2657–2659 (1991).

[CrossRef]

A. Ashkin, G. D. Boyd, and J. M. Dziedzic, “Resonant optical second harmonic generation and mixing,” IEEE J. Quantum Electron. QE-2, 109–123 (1966).

[CrossRef]

W. J. Kozlovsky, C. D. Nabors, and R. L. Byer, “Efficient 2nd harmonic-generation of a diode-laser-pumped cw Nd-YAG laser using monolithic MgO-LiNbO_{3} external resonant cavities,” IEEE J. Quantum Electron. QE-24, 913–919 (1988).

[CrossRef]

G. T. Moore and K. Koch, “The tandem optical parametric oscillator,” IEEE J. Quantum Electron. QE-32, 2085–2094 (1996).

[CrossRef]

G. T. Moore and K. Koch, “Optical parametric oscillation with detuned intracavity sum-frequency generation,” IEEE J. Quantum Electron. QE-29, 2334–2341 (1993).

[CrossRef]

K. Koch, G. T. Moore, and M. E. Dearborn, “Raman oscillation with intracavity second-harmonic generation,” IEEE J. Quantum Electron. QE-33, 1743–1748 (1997).

[CrossRef]

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. Knittel and A. H. Kung, “Fourth harmonic generation in a resonant ring cavity,” IEEE J. Quantum Electron. QE-33, 2021–2028 (1997).

[CrossRef]

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

[CrossRef]

G. T. Moore, K. Koch, and E. C. Cheung, “Optical parametric oscillation with intracavity second-harmonic generation,” Opt. Commun. 113, 463–470 (1995).

[CrossRef]

K. Drühl, “Dispersion-induced generation of higher order transversal modes in singly-resonant optical parametric oscillators,” Opt. Commun. 145, 5–8 (1998).

[CrossRef]

G. T. Maker and A. I. Ferguson, “Efficient frequency doubling of a diode-laser-pumped Nd:YAG laser using an external resonant cavity,” Opt. Commun. 76, 369–375 (1990).

[CrossRef]

M. Watanabe, K. Hayasaka, H. Imajo, and S. Urabe, “Continuous-wave sum-frequency generation near 194 nm with a collinear double enhancement cavity,” Opt. Commun. 97, 225–227 (1993).

[CrossRef]

W. J. Kozlovsky, C. D. Nabors, and R. L. Byer, “Second-harmonic generation of a continuous-wave diode-pumped Nd:YAG laser using an externally resonant cavity,” Opt. Lett. 12, 1014–1016 (1987).

[CrossRef]
[PubMed]

E. S. Polzik and H. J. Kimble, “Frequency doubling with KNbO_{3} in an external cavity,” Opt. Lett. 16, 1400–1402 (1991).

[CrossRef]
[PubMed]

Z. Y. Ou and H. J. Kimble, “Enhanced conversion efficiency for harmonic generation with double resonance,” Opt. Lett. 18, 1053–1055 (1993).

[CrossRef]
[PubMed]

J. Knittel and A. H. Kung, “39.5% conversion of low-power Q-switched Nd:YAG laser radiation of 266 nm by use of a resonant ring cavity,” Opt. Lett. 22, 366–368 (1997).

[CrossRef]
[PubMed]

D. H. Jundt, “Temperature-dependent Sellmeier equation for the index of refraction, n_{e}, in congruent lithium niobate,” Opt. Lett. 22, 1553–1555 (1997).

[CrossRef]

K. Fiedler, S. Schiller, R. Paschotta, P. Kürz, and J. Mlynek, “Highly efficient frequency doubling with a doubly resonant monolithic total-internal-reflection ring resonator,” Opt. Lett. 18, 1786–1788 (1993).

[CrossRef]
[PubMed]

R. Asby, “Optical-mode interaction in nonlinear media,” Phys. Rev. 187, 1062–1069 (1969).

[CrossRef]

R. Asby, “Theory of optical parametric amplification from a focused Gaussian beam,” Phys. Rev. B 2, 4273–4282 (1970).

[CrossRef]

G. T. Moore, K. Koch, and E. C. Cheung, “Theory of multi-stage intracavity frequency conversion in optical parametric oscillators,” in Solid State Lasers and Nonlinear Crystals, G. J. Quarles, L. Esterowitz, and L. K. Cheng, eds., Proc. SPIE 2379, 84–94 (1995).

[CrossRef]

G. T. Moore and K. Koch, “Efficient frequency conversion at low power using periodic refocusing,” J. Opt. Soc. Am. B (to be published).

Notation and properties of elliptic integrals and Jacobi elliptic functions taken from M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1965), Chaps. 16–17, pp. 576–626.