Abstract

The intensity-noise reduction of a laser-diode-pumped single-frequency ring Nd:YVO4 laser when different optoelectronic control systems are used is theoretically and experimentally investigated. It has been demonstrated that combining two techniques, optoelectronic feedback control of the drive current of the pump laser diode and feed-forward control of the output laser beam, is a good way to significantly suppress the intensity noise of a laser at low frequency.

© 2003 Optical Society of America

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References

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  1. T. J. Kane, R. L. Byer, “Monolithic, unidirectional single-mode Nd:YAG ring laser,” Opt. Lett. 10, 65–67 (1985).
    [CrossRef] [PubMed]
  2. I. Freitag, A. Tünnermann, H. Welling, “Power scaling of diode-pumped monolithic Nd:YAG ring lasers to output powers of several watts,” Opt. Commun. 115, 511–515 (1995).
    [CrossRef]
  3. K. I. Martin, W. A. Clarkson, D. C. Hanna, “3 W of single-frequency output at 532 nm by intracavity frequency doubling of a diode-bar-pumped Nd:YAG ring laser,” Opt. Lett. 21, 875–877 (1996).
    [CrossRef] [PubMed]
  4. P. J. Hardman, W. A. Clarkson, D. C. Hanna, “High-power diode-bar-pumped intracavity-frequency-doubling Nd:YLF ring laser,” Opt. Commun. 156, 49–52 (1998).
    [CrossRef]
  5. T. C. Ralph, C. C. Harb, H.-A. Bachor, “Intensity noise of injection locked lasers: quantum theory using a linearised input/output method,” Phys. Rev. A 54, 4359–4369 (1996).
    [CrossRef] [PubMed]
  6. T. J. Kane, “Intensity noise in a diode-pumped single frequency Nd:YAG laser and its control by electronic feedback,” IEEE Photon. Technol. Lett. 2, 244–245 (1990).
    [CrossRef]
  7. C. C. Harb, M. B. Gray, H.-A. Bachor, R. Schilling, P. Rottengatter, I. Freitag, H. Welling, “Suppression of the intensity noise in a diode-pumped neodymium:YAG nonplanar ring laser,” IEEE J. Quantum Electron. 30, 2907–2913 (1994).
    [CrossRef]
  8. S. Taccheo, P. Laporta, O. Svelto, G. DeGeronimo, “Intensity noise reduction in a single-frequency ytterbium-codoped erbium laser,” Opt. Lett. 21, 1747–1749 (1996).
    [CrossRef] [PubMed]
  9. B. C. Buchler, E. H. Huntington, C. C. Harb, T. C. Ralph, “Feedback control of laser intensity noise,” Phys. Rev. A 57, 1286–1294 (1998).
    [CrossRef]
  10. A. D. Farinas, E. K. Gustafson, R. L. Byer, “Frequency and intensity noise in an injection-locked, solid-state laser,” J. Opt. Soc. Am. B 12, 328–334 (1995).
    [CrossRef]
  11. C. C. Harb, T. C. Ralph, E. H. Huntington, I. Freitag, D. E. McClelland, H.-A. Bachor, “Intensity-noise properties of injection-locked lasers,” Phys. Rev. A 54, 4370–4381 (1996).
    [CrossRef] [PubMed]
  12. E. H. Huntington, B. C. Buchler, C. C. Harb, T. C. Ralph, D. E. McClelland, H.-A. Bachor, “Feedback control of the intensity noise of injection locked laser,” Opt. Commun. 145, 359–366 (1998).
    [CrossRef]
  13. C. Becher, K.-J. Boller, “Low-intensity-noise operation of Nd:YVO4 microchip lasers by pump-noise suppression,” J. Opt. Soc. Am. B 16, 286–295 (1999).
    [CrossRef]
  14. A. Bramati, J.-P. Hermier, V. Jost, E. Giacobino, “Feedback control and nonlinear intensity noise of Nd:YVO4 microchip lasers,” Phys. Rev. A 62, 043806 (2000).
    [CrossRef]
  15. J. Zhang, Y. L. Cheng, T. C. Zhang, K. S. Zhang, C. D. Xie, K. C. Peng, “Investigation of the characteristic of the intensity noise of singly resonant active second-harmonic generation,” J. Opt. Soc. Am. B 17, 1695–1703 (2000).
    [CrossRef]
  16. J. Zhang, H. Chang, X. J. Jia, H. X. Lei, R. L. Wang, C. D. Xie, K. C. Peng, “Suppression of the intensity noise of a laser-diode-pumped single-frequency ring Nd:YVO4-KTP green laser by optoelectronic feedback,” Opt. Lett. 26, 695–697 (2001).
    [CrossRef]
  17. J. Zhang, C. D. Xie, K. C. Peng, “Electronic feedback control of the intensity noise of a single-frequency intracavity-doubled laser,” J. Opt. Soc. Am. B 19, 1910–1916 (2002).
    [CrossRef]
  18. N. A. Robertson, S. Hoggan, J. B. Mangan, J. Hough, “Intensity stabilization of an argon laser using an electrooptic modulator—performance and limitations,” Appl. Phys. B 39, 149–153 (1986).
    [CrossRef]
  19. M. S. Taubman, H. M. Wiseman, D. E. McClelland, H.-A. Bachor, “Intensity feedback effects on quantum-limited noise,” J. Opt. Soc. Am. B 12, 1792–1800 (1995).
    [CrossRef]
  20. P. K. Lam, T. C. Ralph, E. H. Huntington, H.-A. Bachor, “Noiseless signal amplification using positive electro-optical feedforward,” Phys. Rev. Lett. 79, 1471–1474 (1997).
    [CrossRef]
  21. H.-A. Bachor, A Guide to Experiments in Quantum Optics (Wiley-VCH, Weinheim, Germany, 1998).

2002

2001

2000

1999

1998

E. H. Huntington, B. C. Buchler, C. C. Harb, T. C. Ralph, D. E. McClelland, H.-A. Bachor, “Feedback control of the intensity noise of injection locked laser,” Opt. Commun. 145, 359–366 (1998).
[CrossRef]

P. J. Hardman, W. A. Clarkson, D. C. Hanna, “High-power diode-bar-pumped intracavity-frequency-doubling Nd:YLF ring laser,” Opt. Commun. 156, 49–52 (1998).
[CrossRef]

B. C. Buchler, E. H. Huntington, C. C. Harb, T. C. Ralph, “Feedback control of laser intensity noise,” Phys. Rev. A 57, 1286–1294 (1998).
[CrossRef]

1997

P. K. Lam, T. C. Ralph, E. H. Huntington, H.-A. Bachor, “Noiseless signal amplification using positive electro-optical feedforward,” Phys. Rev. Lett. 79, 1471–1474 (1997).
[CrossRef]

1996

K. I. Martin, W. A. Clarkson, D. C. Hanna, “3 W of single-frequency output at 532 nm by intracavity frequency doubling of a diode-bar-pumped Nd:YAG ring laser,” Opt. Lett. 21, 875–877 (1996).
[CrossRef] [PubMed]

T. C. Ralph, C. C. Harb, H.-A. Bachor, “Intensity noise of injection locked lasers: quantum theory using a linearised input/output method,” Phys. Rev. A 54, 4359–4369 (1996).
[CrossRef] [PubMed]

S. Taccheo, P. Laporta, O. Svelto, G. DeGeronimo, “Intensity noise reduction in a single-frequency ytterbium-codoped erbium laser,” Opt. Lett. 21, 1747–1749 (1996).
[CrossRef] [PubMed]

C. C. Harb, T. C. Ralph, E. H. Huntington, I. Freitag, D. E. McClelland, H.-A. Bachor, “Intensity-noise properties of injection-locked lasers,” Phys. Rev. A 54, 4370–4381 (1996).
[CrossRef] [PubMed]

1995

1994

C. C. Harb, M. B. Gray, H.-A. Bachor, R. Schilling, P. Rottengatter, I. Freitag, H. Welling, “Suppression of the intensity noise in a diode-pumped neodymium:YAG nonplanar ring laser,” IEEE J. Quantum Electron. 30, 2907–2913 (1994).
[CrossRef]

1990

T. J. Kane, “Intensity noise in a diode-pumped single frequency Nd:YAG laser and its control by electronic feedback,” IEEE Photon. Technol. Lett. 2, 244–245 (1990).
[CrossRef]

1986

N. A. Robertson, S. Hoggan, J. B. Mangan, J. Hough, “Intensity stabilization of an argon laser using an electrooptic modulator—performance and limitations,” Appl. Phys. B 39, 149–153 (1986).
[CrossRef]

1985

Bachor, H.-A.

E. H. Huntington, B. C. Buchler, C. C. Harb, T. C. Ralph, D. E. McClelland, H.-A. Bachor, “Feedback control of the intensity noise of injection locked laser,” Opt. Commun. 145, 359–366 (1998).
[CrossRef]

P. K. Lam, T. C. Ralph, E. H. Huntington, H.-A. Bachor, “Noiseless signal amplification using positive electro-optical feedforward,” Phys. Rev. Lett. 79, 1471–1474 (1997).
[CrossRef]

T. C. Ralph, C. C. Harb, H.-A. Bachor, “Intensity noise of injection locked lasers: quantum theory using a linearised input/output method,” Phys. Rev. A 54, 4359–4369 (1996).
[CrossRef] [PubMed]

C. C. Harb, T. C. Ralph, E. H. Huntington, I. Freitag, D. E. McClelland, H.-A. Bachor, “Intensity-noise properties of injection-locked lasers,” Phys. Rev. A 54, 4370–4381 (1996).
[CrossRef] [PubMed]

M. S. Taubman, H. M. Wiseman, D. E. McClelland, H.-A. Bachor, “Intensity feedback effects on quantum-limited noise,” J. Opt. Soc. Am. B 12, 1792–1800 (1995).
[CrossRef]

C. C. Harb, M. B. Gray, H.-A. Bachor, R. Schilling, P. Rottengatter, I. Freitag, H. Welling, “Suppression of the intensity noise in a diode-pumped neodymium:YAG nonplanar ring laser,” IEEE J. Quantum Electron. 30, 2907–2913 (1994).
[CrossRef]

H.-A. Bachor, A Guide to Experiments in Quantum Optics (Wiley-VCH, Weinheim, Germany, 1998).

Becher, C.

Boller, K.-J.

Bramati, A.

A. Bramati, J.-P. Hermier, V. Jost, E. Giacobino, “Feedback control and nonlinear intensity noise of Nd:YVO4 microchip lasers,” Phys. Rev. A 62, 043806 (2000).
[CrossRef]

Buchler, B. C.

E. H. Huntington, B. C. Buchler, C. C. Harb, T. C. Ralph, D. E. McClelland, H.-A. Bachor, “Feedback control of the intensity noise of injection locked laser,” Opt. Commun. 145, 359–366 (1998).
[CrossRef]

B. C. Buchler, E. H. Huntington, C. C. Harb, T. C. Ralph, “Feedback control of laser intensity noise,” Phys. Rev. A 57, 1286–1294 (1998).
[CrossRef]

Byer, R. L.

Chang, H.

Cheng, Y. L.

Clarkson, W. A.

P. J. Hardman, W. A. Clarkson, D. C. Hanna, “High-power diode-bar-pumped intracavity-frequency-doubling Nd:YLF ring laser,” Opt. Commun. 156, 49–52 (1998).
[CrossRef]

K. I. Martin, W. A. Clarkson, D. C. Hanna, “3 W of single-frequency output at 532 nm by intracavity frequency doubling of a diode-bar-pumped Nd:YAG ring laser,” Opt. Lett. 21, 875–877 (1996).
[CrossRef] [PubMed]

DeGeronimo, G.

Farinas, A. D.

Freitag, I.

C. C. Harb, T. C. Ralph, E. H. Huntington, I. Freitag, D. E. McClelland, H.-A. Bachor, “Intensity-noise properties of injection-locked lasers,” Phys. Rev. A 54, 4370–4381 (1996).
[CrossRef] [PubMed]

I. Freitag, A. Tünnermann, H. Welling, “Power scaling of diode-pumped monolithic Nd:YAG ring lasers to output powers of several watts,” Opt. Commun. 115, 511–515 (1995).
[CrossRef]

C. C. Harb, M. B. Gray, H.-A. Bachor, R. Schilling, P. Rottengatter, I. Freitag, H. Welling, “Suppression of the intensity noise in a diode-pumped neodymium:YAG nonplanar ring laser,” IEEE J. Quantum Electron. 30, 2907–2913 (1994).
[CrossRef]

Giacobino, E.

A. Bramati, J.-P. Hermier, V. Jost, E. Giacobino, “Feedback control and nonlinear intensity noise of Nd:YVO4 microchip lasers,” Phys. Rev. A 62, 043806 (2000).
[CrossRef]

Gray, M. B.

C. C. Harb, M. B. Gray, H.-A. Bachor, R. Schilling, P. Rottengatter, I. Freitag, H. Welling, “Suppression of the intensity noise in a diode-pumped neodymium:YAG nonplanar ring laser,” IEEE J. Quantum Electron. 30, 2907–2913 (1994).
[CrossRef]

Gustafson, E. K.

Hanna, D. C.

P. J. Hardman, W. A. Clarkson, D. C. Hanna, “High-power diode-bar-pumped intracavity-frequency-doubling Nd:YLF ring laser,” Opt. Commun. 156, 49–52 (1998).
[CrossRef]

K. I. Martin, W. A. Clarkson, D. C. Hanna, “3 W of single-frequency output at 532 nm by intracavity frequency doubling of a diode-bar-pumped Nd:YAG ring laser,” Opt. Lett. 21, 875–877 (1996).
[CrossRef] [PubMed]

Harb, C. C.

B. C. Buchler, E. H. Huntington, C. C. Harb, T. C. Ralph, “Feedback control of laser intensity noise,” Phys. Rev. A 57, 1286–1294 (1998).
[CrossRef]

E. H. Huntington, B. C. Buchler, C. C. Harb, T. C. Ralph, D. E. McClelland, H.-A. Bachor, “Feedback control of the intensity noise of injection locked laser,” Opt. Commun. 145, 359–366 (1998).
[CrossRef]

T. C. Ralph, C. C. Harb, H.-A. Bachor, “Intensity noise of injection locked lasers: quantum theory using a linearised input/output method,” Phys. Rev. A 54, 4359–4369 (1996).
[CrossRef] [PubMed]

C. C. Harb, T. C. Ralph, E. H. Huntington, I. Freitag, D. E. McClelland, H.-A. Bachor, “Intensity-noise properties of injection-locked lasers,” Phys. Rev. A 54, 4370–4381 (1996).
[CrossRef] [PubMed]

C. C. Harb, M. B. Gray, H.-A. Bachor, R. Schilling, P. Rottengatter, I. Freitag, H. Welling, “Suppression of the intensity noise in a diode-pumped neodymium:YAG nonplanar ring laser,” IEEE J. Quantum Electron. 30, 2907–2913 (1994).
[CrossRef]

Hardman, P. J.

P. J. Hardman, W. A. Clarkson, D. C. Hanna, “High-power diode-bar-pumped intracavity-frequency-doubling Nd:YLF ring laser,” Opt. Commun. 156, 49–52 (1998).
[CrossRef]

Hermier, J.-P.

A. Bramati, J.-P. Hermier, V. Jost, E. Giacobino, “Feedback control and nonlinear intensity noise of Nd:YVO4 microchip lasers,” Phys. Rev. A 62, 043806 (2000).
[CrossRef]

Hoggan, S.

N. A. Robertson, S. Hoggan, J. B. Mangan, J. Hough, “Intensity stabilization of an argon laser using an electrooptic modulator—performance and limitations,” Appl. Phys. B 39, 149–153 (1986).
[CrossRef]

Hough, J.

N. A. Robertson, S. Hoggan, J. B. Mangan, J. Hough, “Intensity stabilization of an argon laser using an electrooptic modulator—performance and limitations,” Appl. Phys. B 39, 149–153 (1986).
[CrossRef]

Huntington, E. H.

E. H. Huntington, B. C. Buchler, C. C. Harb, T. C. Ralph, D. E. McClelland, H.-A. Bachor, “Feedback control of the intensity noise of injection locked laser,” Opt. Commun. 145, 359–366 (1998).
[CrossRef]

B. C. Buchler, E. H. Huntington, C. C. Harb, T. C. Ralph, “Feedback control of laser intensity noise,” Phys. Rev. A 57, 1286–1294 (1998).
[CrossRef]

P. K. Lam, T. C. Ralph, E. H. Huntington, H.-A. Bachor, “Noiseless signal amplification using positive electro-optical feedforward,” Phys. Rev. Lett. 79, 1471–1474 (1997).
[CrossRef]

C. C. Harb, T. C. Ralph, E. H. Huntington, I. Freitag, D. E. McClelland, H.-A. Bachor, “Intensity-noise properties of injection-locked lasers,” Phys. Rev. A 54, 4370–4381 (1996).
[CrossRef] [PubMed]

Jia, X. J.

Jost, V.

A. Bramati, J.-P. Hermier, V. Jost, E. Giacobino, “Feedback control and nonlinear intensity noise of Nd:YVO4 microchip lasers,” Phys. Rev. A 62, 043806 (2000).
[CrossRef]

Kane, T. J.

T. J. Kane, “Intensity noise in a diode-pumped single frequency Nd:YAG laser and its control by electronic feedback,” IEEE Photon. Technol. Lett. 2, 244–245 (1990).
[CrossRef]

T. J. Kane, R. L. Byer, “Monolithic, unidirectional single-mode Nd:YAG ring laser,” Opt. Lett. 10, 65–67 (1985).
[CrossRef] [PubMed]

Lam, P. K.

P. K. Lam, T. C. Ralph, E. H. Huntington, H.-A. Bachor, “Noiseless signal amplification using positive electro-optical feedforward,” Phys. Rev. Lett. 79, 1471–1474 (1997).
[CrossRef]

Laporta, P.

Lei, H. X.

Mangan, J. B.

N. A. Robertson, S. Hoggan, J. B. Mangan, J. Hough, “Intensity stabilization of an argon laser using an electrooptic modulator—performance and limitations,” Appl. Phys. B 39, 149–153 (1986).
[CrossRef]

Martin, K. I.

McClelland, D. E.

E. H. Huntington, B. C. Buchler, C. C. Harb, T. C. Ralph, D. E. McClelland, H.-A. Bachor, “Feedback control of the intensity noise of injection locked laser,” Opt. Commun. 145, 359–366 (1998).
[CrossRef]

C. C. Harb, T. C. Ralph, E. H. Huntington, I. Freitag, D. E. McClelland, H.-A. Bachor, “Intensity-noise properties of injection-locked lasers,” Phys. Rev. A 54, 4370–4381 (1996).
[CrossRef] [PubMed]

M. S. Taubman, H. M. Wiseman, D. E. McClelland, H.-A. Bachor, “Intensity feedback effects on quantum-limited noise,” J. Opt. Soc. Am. B 12, 1792–1800 (1995).
[CrossRef]

Peng, K. C.

Ralph, T. C.

E. H. Huntington, B. C. Buchler, C. C. Harb, T. C. Ralph, D. E. McClelland, H.-A. Bachor, “Feedback control of the intensity noise of injection locked laser,” Opt. Commun. 145, 359–366 (1998).
[CrossRef]

B. C. Buchler, E. H. Huntington, C. C. Harb, T. C. Ralph, “Feedback control of laser intensity noise,” Phys. Rev. A 57, 1286–1294 (1998).
[CrossRef]

P. K. Lam, T. C. Ralph, E. H. Huntington, H.-A. Bachor, “Noiseless signal amplification using positive electro-optical feedforward,” Phys. Rev. Lett. 79, 1471–1474 (1997).
[CrossRef]

T. C. Ralph, C. C. Harb, H.-A. Bachor, “Intensity noise of injection locked lasers: quantum theory using a linearised input/output method,” Phys. Rev. A 54, 4359–4369 (1996).
[CrossRef] [PubMed]

C. C. Harb, T. C. Ralph, E. H. Huntington, I. Freitag, D. E. McClelland, H.-A. Bachor, “Intensity-noise properties of injection-locked lasers,” Phys. Rev. A 54, 4370–4381 (1996).
[CrossRef] [PubMed]

Robertson, N. A.

N. A. Robertson, S. Hoggan, J. B. Mangan, J. Hough, “Intensity stabilization of an argon laser using an electrooptic modulator—performance and limitations,” Appl. Phys. B 39, 149–153 (1986).
[CrossRef]

Rottengatter, P.

C. C. Harb, M. B. Gray, H.-A. Bachor, R. Schilling, P. Rottengatter, I. Freitag, H. Welling, “Suppression of the intensity noise in a diode-pumped neodymium:YAG nonplanar ring laser,” IEEE J. Quantum Electron. 30, 2907–2913 (1994).
[CrossRef]

Schilling, R.

C. C. Harb, M. B. Gray, H.-A. Bachor, R. Schilling, P. Rottengatter, I. Freitag, H. Welling, “Suppression of the intensity noise in a diode-pumped neodymium:YAG nonplanar ring laser,” IEEE J. Quantum Electron. 30, 2907–2913 (1994).
[CrossRef]

Svelto, O.

Taccheo, S.

Taubman, M. S.

Tünnermann, A.

I. Freitag, A. Tünnermann, H. Welling, “Power scaling of diode-pumped monolithic Nd:YAG ring lasers to output powers of several watts,” Opt. Commun. 115, 511–515 (1995).
[CrossRef]

Wang, R. L.

Welling, H.

I. Freitag, A. Tünnermann, H. Welling, “Power scaling of diode-pumped monolithic Nd:YAG ring lasers to output powers of several watts,” Opt. Commun. 115, 511–515 (1995).
[CrossRef]

C. C. Harb, M. B. Gray, H.-A. Bachor, R. Schilling, P. Rottengatter, I. Freitag, H. Welling, “Suppression of the intensity noise in a diode-pumped neodymium:YAG nonplanar ring laser,” IEEE J. Quantum Electron. 30, 2907–2913 (1994).
[CrossRef]

Wiseman, H. M.

Xie, C. D.

Zhang, J.

Zhang, K. S.

Zhang, T. C.

Appl. Phys. B

N. A. Robertson, S. Hoggan, J. B. Mangan, J. Hough, “Intensity stabilization of an argon laser using an electrooptic modulator—performance and limitations,” Appl. Phys. B 39, 149–153 (1986).
[CrossRef]

IEEE J. Quantum Electron.

C. C. Harb, M. B. Gray, H.-A. Bachor, R. Schilling, P. Rottengatter, I. Freitag, H. Welling, “Suppression of the intensity noise in a diode-pumped neodymium:YAG nonplanar ring laser,” IEEE J. Quantum Electron. 30, 2907–2913 (1994).
[CrossRef]

IEEE Photon. Technol. Lett.

T. J. Kane, “Intensity noise in a diode-pumped single frequency Nd:YAG laser and its control by electronic feedback,” IEEE Photon. Technol. Lett. 2, 244–245 (1990).
[CrossRef]

J. Opt. Soc. Am. B

Opt. Commun.

E. H. Huntington, B. C. Buchler, C. C. Harb, T. C. Ralph, D. E. McClelland, H.-A. Bachor, “Feedback control of the intensity noise of injection locked laser,” Opt. Commun. 145, 359–366 (1998).
[CrossRef]

P. J. Hardman, W. A. Clarkson, D. C. Hanna, “High-power diode-bar-pumped intracavity-frequency-doubling Nd:YLF ring laser,” Opt. Commun. 156, 49–52 (1998).
[CrossRef]

I. Freitag, A. Tünnermann, H. Welling, “Power scaling of diode-pumped monolithic Nd:YAG ring lasers to output powers of several watts,” Opt. Commun. 115, 511–515 (1995).
[CrossRef]

Opt. Lett.

Phys. Rev. A

B. C. Buchler, E. H. Huntington, C. C. Harb, T. C. Ralph, “Feedback control of laser intensity noise,” Phys. Rev. A 57, 1286–1294 (1998).
[CrossRef]

A. Bramati, J.-P. Hermier, V. Jost, E. Giacobino, “Feedback control and nonlinear intensity noise of Nd:YVO4 microchip lasers,” Phys. Rev. A 62, 043806 (2000).
[CrossRef]

C. C. Harb, T. C. Ralph, E. H. Huntington, I. Freitag, D. E. McClelland, H.-A. Bachor, “Intensity-noise properties of injection-locked lasers,” Phys. Rev. A 54, 4370–4381 (1996).
[CrossRef] [PubMed]

T. C. Ralph, C. C. Harb, H.-A. Bachor, “Intensity noise of injection locked lasers: quantum theory using a linearised input/output method,” Phys. Rev. A 54, 4359–4369 (1996).
[CrossRef] [PubMed]

Phys. Rev. Lett.

P. K. Lam, T. C. Ralph, E. H. Huntington, H.-A. Bachor, “Noiseless signal amplification using positive electro-optical feedforward,” Phys. Rev. Lett. 79, 1471–1474 (1997).
[CrossRef]

Other

H.-A. Bachor, A Guide to Experiments in Quantum Optics (Wiley-VCH, Weinheim, Germany, 1998).

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Figures (9)

Fig. 1
Fig. 1

Schematics of (a) the feedback and (b) the feed-forward loops. D 1 and η1, in-loop detector and its quantum efficiency; PBS, polarizing beam splitter; λ/2, half-wave plate.

Fig. 2
Fig. 2

Theoretical plots of the noise levels for (a) the feedback and (b) the feed-forward loops versus the loop gains at several laser noises: (i) 0 dB, (ii) 5 dB, (iii) 10 dB, (iv) 20 dB, and (v) 30 dB. ε1 = η1 = 0.95.

Fig. 3
Fig. 3

Optimum gains for (i) the feedback and (ii) the feed-forward loops as a function of laser input noise V in. ε1 = η1 = 0.95.

Fig. 4
Fig. 4

Theoretical plots of noise versus loop gains for (a) the feedback and (b) the feed-forward loops at several phase lags: (i) 0, (ii) π/8, (iii) π/4, and (iv) 3π/8. V in = 30 dB and ε1 = η1 = 0.95.

Fig. 5
Fig. 5

Schematic of a single-frequency ring Nd:YVO4 laser.

Fig. 6
Fig. 6

Experimental arrangement for combining the two techniques of the optoelectronic noise control. FW’s, feed-forward loop; D1, D2, detectors.

Fig. 7
Fig. 7

Feedback and feed-forward experimental noise spectra: (i) free running, (ii) feedback, (iii) feed-forward, (iv) the QNL.

Fig. 8
Fig. 8

Noise spectra with feed-forward loops of several gains: (i) free-running, (ii) less than the optimum gain of 3 dB, (iii) the optimum gain, (iv) larger than the optimum gain of 3 dB, (v) the QNL.

Fig. 9
Fig. 9

Experimental noise spectra: (i) free-running, (ii) with only the optoelectronic feedback on the pump current, (iii) with only using the feed-forward, (iv) with the optoelectronic feedback control on the pump current of the LD and the feed-forward loop inside it, (v) with the optoelectronic feedback control on the pump current of the LD and the feed-forward loop outside it, (vi) the QNL.

Equations (16)

Equations on this page are rendered with MathJax. Learn more.

Âint=Ain+δÂint,
Âint=Âint+δrˆ,
ÂoutLPt=ε1Âint-1-ε1δv1, ÂinLPt=η11-ε1Âint+ε1δv1+1-η1δv2,
ıˆinLP=ÂinLP+tÂinLPt.
δıˆinLP=Ainη11-ε1η11-ε1δXˆAin+η1ε1δXˆv1+1-η1δXˆv2,
δrˆ=-- kτδıˆinLPt-τdτ=-- kτAinη11-ε1η11-ε1δXˆAin×t-τ+η1ε1δXˆv1t-τ+1-η1δXˆv2t-τdτ,
VoutLPfeedbackω=ε1|1+hω|2 Vinω+|ε1-hω-1|21-ε1|1+hω|2 Vδv1+ε11-η1|hω|21-ε1η1|1+hω|2 Vδv2=1+1-ε1ε1η1Vinω-1+ε1|hω|21-ε1η1|1+hω|2,
ÂoutLPt=ε1Âint-1-ε1δv1,ÂinLPt=η11-ε1Âint+ε1δv1+1-η1δv2.
ÂoutLPt=ÂoutLPt+δrˆ,
VoutLPforwardω=|ε1-hω|2Vinω+1-ε1+hωε11-ε12Vδv1+hω1-η11-ε1η12Vδv2.
hfeedbackoptω=η11-ε1Vin-1
hforwardoptω=η11-ε1ε1Vin-11+η11-ε1Vin-1.
Vfeedbackoptω=Vforwardoptω=1+ε1Vin-11+η11-ε1Vin-1.
limHωVfeedback=1+ε1η11-ε1,
limVinhforwardoptω=ε1.
limHωε1/η11-ε1Vforward=limHωVfeedback=1+ε1η11-ε1.

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