Abstract

We have achieved efficient electro-optic phase modulation at high frequencies in a resonant modulator cavity. We enhance modulation by matching the phase velocities of the optical and microwave fields in the modulator substrate and by placing the modulator inside an optical cavity that is resonant for the input optical beam and the generated sidebands. An optical frequency comb with a span of 3 THz and at a spacing of 17 GHz is generated with 1 W of microwave power. The terahertz comb is utilized to phase lock an optical parametric oscillator at a signal–idler difference frequency of 665 GHz.

© 1994 Optical Society of America

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References

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  1. N. C. Wong, Opt. Lett. 17, 1155 (1992).
    [CrossRef] [PubMed]
  2. M. Kourogi, K. Nakagawa, M. Ohtsu, IEEE J. Quantum Electron. 29, 2693 (1993).
    [CrossRef]
  3. N. C. Wong, IEEE. Photon. Technol. Lett. 4, 1166 (1992).
    [CrossRef]
  4. B. Y. Lee, T. Kobayashi, A. Morimoto, T. Sueta, in Conference on Lasers and Electro-Optics, Vol. 10 of 1991 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1991), p. 146.
  5. A. A. Godil, A. S. Hou, B. A. Auld, D. M. Bloom, Opt. Lett. 16, 1765 (1991).
    [CrossRef] [PubMed]
  6. Y. T. Lo, D. Solomon, W. F. Richards, IEEE Trans. Antennas Propag. AP-27, 137 (1979).
    [CrossRef]
  7. D. W. Sesko, C. E. Wieman, Appl. Opt. 26, 1693 (1987).
    [CrossRef] [PubMed]
  8. D. Lee, N. C. Wong, Opt. Lett. 17, 13 (1992).
    [CrossRef] [PubMed]
  9. D. Lee, N. C. Wong, J. Opt. Soc. Am. B 10, 1659 (1993).
    [CrossRef]

1993 (2)

M. Kourogi, K. Nakagawa, M. Ohtsu, IEEE J. Quantum Electron. 29, 2693 (1993).
[CrossRef]

D. Lee, N. C. Wong, J. Opt. Soc. Am. B 10, 1659 (1993).
[CrossRef]

1992 (3)

1991 (1)

1987 (1)

1979 (1)

Y. T. Lo, D. Solomon, W. F. Richards, IEEE Trans. Antennas Propag. AP-27, 137 (1979).
[CrossRef]

Auld, B. A.

Bloom, D. M.

Godil, A. A.

Hou, A. S.

Kobayashi, T.

B. Y. Lee, T. Kobayashi, A. Morimoto, T. Sueta, in Conference on Lasers and Electro-Optics, Vol. 10 of 1991 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1991), p. 146.

Kourogi, M.

M. Kourogi, K. Nakagawa, M. Ohtsu, IEEE J. Quantum Electron. 29, 2693 (1993).
[CrossRef]

Lee, B. Y.

B. Y. Lee, T. Kobayashi, A. Morimoto, T. Sueta, in Conference on Lasers and Electro-Optics, Vol. 10 of 1991 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1991), p. 146.

Lee, D.

Lo, Y. T.

Y. T. Lo, D. Solomon, W. F. Richards, IEEE Trans. Antennas Propag. AP-27, 137 (1979).
[CrossRef]

Morimoto, A.

B. Y. Lee, T. Kobayashi, A. Morimoto, T. Sueta, in Conference on Lasers and Electro-Optics, Vol. 10 of 1991 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1991), p. 146.

Nakagawa, K.

M. Kourogi, K. Nakagawa, M. Ohtsu, IEEE J. Quantum Electron. 29, 2693 (1993).
[CrossRef]

Ohtsu, M.

M. Kourogi, K. Nakagawa, M. Ohtsu, IEEE J. Quantum Electron. 29, 2693 (1993).
[CrossRef]

Richards, W. F.

Y. T. Lo, D. Solomon, W. F. Richards, IEEE Trans. Antennas Propag. AP-27, 137 (1979).
[CrossRef]

Sesko, D. W.

Solomon, D.

Y. T. Lo, D. Solomon, W. F. Richards, IEEE Trans. Antennas Propag. AP-27, 137 (1979).
[CrossRef]

Sueta, T.

B. Y. Lee, T. Kobayashi, A. Morimoto, T. Sueta, in Conference on Lasers and Electro-Optics, Vol. 10 of 1991 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1991), p. 146.

Wieman, C. E.

Wong, N. C.

Appl. Opt. (1)

IEEE J. Quantum Electron. (1)

M. Kourogi, K. Nakagawa, M. Ohtsu, IEEE J. Quantum Electron. 29, 2693 (1993).
[CrossRef]

IEEE Trans. Antennas Propag. (1)

Y. T. Lo, D. Solomon, W. F. Richards, IEEE Trans. Antennas Propag. AP-27, 137 (1979).
[CrossRef]

IEEE. Photon. Technol. Lett. (1)

N. C. Wong, IEEE. Photon. Technol. Lett. 4, 1166 (1992).
[CrossRef]

J. Opt. Soc. Am. B (1)

Opt. Lett. (3)

Other (1)

B. Y. Lee, T. Kobayashi, A. Morimoto, T. Sueta, in Conference on Lasers and Electro-Optics, Vol. 10 of 1991 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1991), p. 146.

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Figures (4)

Fig. 1.
Fig. 1.

Schematic of an optical frequency comb generator.

Fig. 2.
Fig. 2.

Plot of the output power of the modulator cavity as a function of cavity sweep.

Fig. 3.
Fig. 3.

Optical spectrum analyzer trace of the OFC output, with a mode spacing of 17.05 GHz. The inset shows an amplified portion of the spectrum, with the numbered arrows pointing to the corresponding sidebands.

Fig. 4.
Fig. 4.

Downconverted signal–idler beat-note spectrum of a DRO under phase-locked conditions (vertical scale, 10 dB/division; horizontal scale, 20 kHz/division, resolution bandwidth, 1 kHz). The two sidebands at ±6 kHz are due to dithering of the cavity mirror for servo locking the modulator cavity.

Equations (6)

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k y = [ ω m 2 μ / c 2 ( π m / a ) 2 ( π p / b ) 2 ] 1 / 2 ,
a = c 2 f m n 2 .
E k = T T c n = 0 ( RT c ) n J k ( β n ) , β n = ( 2 n + 1 ) β ,
E k exp ( α | k | ) , α = ( 1 RT c ) / 2 RT c β .
| E ( θ ) | 2 = T 2 / 4 R ( π / 2 F ) 2 + sin 2 [ θ β sin ( ω m t ) ]
T 2 / 4 R ( π / 2 F ) 2 + [ θ β sin ( ω m t ) ] 2 .

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