OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry Van Driel
  • Vol. 26, Iss. 5 — May. 1, 2009
  • pp: 1023–1031

Theory of coupled optoelectronic microwave oscillator I: expectation values

Andrey B. Matsko, Danny Eliyahu, Prakash Koonath, David Seidel, and Lute Maleki  »View Author Affiliations

JOSA B, Vol. 26, Issue 5, pp. 1023-1031 (2009)

View Full Text Article

Enhanced HTML    Acrobat PDF (230 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Properties of a coupled optoelectronic microwave oscillator are studied theoretically. We find analytical expressions for the steady-state values of the pulse duration, chirp, optical power, and the power of the microwave signal generated in the systems as the function of the parameters of the optical and microwave loops. The analytical expressions are compared with the results of the numerical simulations as well as the experimental data.

© 2009 Optical Society of America

OCIS Codes
(140.4050) Lasers and laser optics : Mode-locked lasers
(230.4910) Optical devices : Oscillators
(060.5625) Fiber optics and optical communications : Radio frequency photonics

ToC Category:
Optical Devices

Original Manuscript: November 21, 2008
Revised Manuscript: February 11, 2009
Manuscript Accepted: March 1, 2009
Published: April 16, 2009

Andrey B. Matsko, Danny Eliyahu, Prakash Koonath, David Seidel, and Lute Maleki, "Theory of coupled optoelectronic microwave oscillator I: expectation values," J. Opt. Soc. Am. B 26, 1023-1031 (2009)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. S. E. Harris and O. P. McDuff, “Theory of FM laser oscillation,” IEEE J. Quantum Electron. 1, 245-262 (1965). [CrossRef]
  2. D. J. Kuizenga and A. E. Siegman, “FM and AM mode locking of the homogeneous laser-Part I: Theory,” IEEE J. Quantum Electron. 6, 694-708 (1970). [CrossRef]
  3. J. T. Darrow and R. K. Jain, “Active mode locking of broad band continuous wave lasers,” IEEE J. Quantum Electron. 27, 1048-1060 (1991). [CrossRef]
  4. A. E. Siegman, Lasers (University Science Books, Mill Valley, Calif., 1996).
  5. G. H. C. New, “The generation of ultrashort laser pulses,” Rep. Prog. Phys. 46, 877-971 (1983). [CrossRef]
  6. L. A. Jiang, M. E. Grein, and E. P. Ippen, “Quantum-limited noise performance of a mode-locked laser diode,” Opt. Lett. 27, 49-51 (2002). [CrossRef]
  7. M. E. Grein, L. A. Jiang, H. A. Haus, E. P. Ippen, C. McNeilage, J. H. Searls, and R. S. Windeler, “Observation of quantum-limited timing jitter in an active, harmonically mode-locked fiber laser,” Opt. Lett. 27, 957-959 (2002). [CrossRef]
  8. F. Rana, H. L. T. Lee, R. J. Ram, M. E. Grein, L. A. Jiang, E. P. Ippen, and H. A. Haus, “Characterization of the noise and correlations in harmonically mode-locked lasers,” J. Opt. Soc. Am. B 19, 2609-2621 (2002). [CrossRef]
  9. X. S. Yao and L. Maleki, “Dual microwave and optical oscillator,” Opt. Lett. 22, 1867-1869 (1997). [CrossRef]
  10. X. S. Yao, L. Davis, and L. Maleki, “Coupled optoelectronic oscillators for generating both RF signal and optical pulses,” J. Lightwave Technol. 18, 73-78 (2000). [CrossRef]
  11. N. Yu, E. Salik, and L. Maleki, “Ultralow-noise mode-locked laser with coupled optoelectronic oscillator configuration,” Opt. Lett. 30, 1231-1233 (2005). [CrossRef] [PubMed]
  12. D. Eliyahu and L. Maleki, “Modulation response (S21) of the coupled opto-electronic oscillator,” Proceedings of the 2005 IEEE International Frequency Control Symposium and Exposition (IEEE, 2005), pp. 850-856. [CrossRef]
  13. E. Salik, N. Yu, and L. Maleki, “An ultralow phase noise coupled optoelectronic oscillator,” IEEE Photon. Technol. Lett. 19, 444-446 (2007). [CrossRef]
  14. G. R. Huggett, “Mode-locking of CW lasers by regenerative RF feedback,” Appl. Phys. Lett. 13, 186-187 (1968). [CrossRef]
  15. T. S. Kinsel, “A stabilized mode-locked Nd:YAG laser using electronic feedback,” IEEE J. Quantum Electron. 9, 38 (1973). [CrossRef]
  16. K. Y. Lau and A. Yariv, “Self-sustained picosecond pulse generation in a GaAlAs laser at an electrically tunable repetition rate by optoelectronic feedback,” Appl. Phys. Lett. 45, 124-126 (1984). [CrossRef]
  17. M. Nakazawa, T. Nakashima, and M. Tokuda, “An optoelectronic self-oscillatory circuit with an optical fiber delayed feedback and its injection locking technique,” J. Lightwave Technol. 2, 719-730 (1984). [CrossRef]
  18. D. E. Spence, J. M. Evans, W. E. Sleat, and W. Sibbett, “Regeneratively initiated self-mode-locked Ti:Sapphire laser,” Opt. Lett. 16, 1762-1764 (1991). [CrossRef] [PubMed]
  19. J. D. Kafka, M. L. Watts, and J. J. Pieterse, “Picosecond and femtosecond pulse generation in a regeneratively mode-locked Ti: Sapphire laser,” IEEE J. Quantum Electron. 28, 2151-2161 (1992). [CrossRef]
  20. M. Nakazawa, E. Yoshida, and Y. Kimura, “Ultrastable harmonically and regeneratively modelocked polarization-maintaining erbium fiber laser,” Electron. Lett. 30, 1603-1605 (1994). [CrossRef]
  21. M. Nakazawa, E. Yoshida, E. Yamada, and Y. Kimura, “A repetition rate stabilized and tunable, regeneratively mode-locked fiber laser using an offset-locking technique,” Jpn. J. Appl. Phys., Part 2 35, L691-L694 (1996). [CrossRef]
  22. M. Nakazawa, E. Yoshida, and K. Tamura, “Ideal phase-locked-loop (PLL) operation of a 10 GHz erbium-doped fiber laser using regenerative mode-locking as an optical voltage controlled oscillator,” Electron. Lett. 33, 1318-1319 (1997). [CrossRef]
  23. B. Bakhshi, P. A. Andrekson, and X. Zhang, “10 GHz modelocked, dispersion-managed and polarization-maintaining erbium fiber ring laser with variable output coupling,” Electron. Lett. 34, 884-885 (1998). [CrossRef]
  24. K. K. Gupta, D. Novak, and H.-F. Liu, “Noise characterization of a regeneratively mode-locked fiber ring laser,” IEEE J. Quantum Electron. 36, 70-78 (2000). [CrossRef]
  25. K. K. Gupta and N. Onodera, “Regenerative mode locking via superposition of higher-order cavity modes in composite cavity fiber lasers,” Opt. Lett. 30, 2221-2223 (2005). [CrossRef] [PubMed]
  26. L. Zhai, A. J. Lowery, Z. Ahmed, N. Onodera, and R. S. Tucker, “Locking bandwidth of mode-locked semiconductor lasers,” Electron. Lett. 28, 545-546 (1992). [CrossRef]
  27. N. G. Usechak and G. P. Agrawal, “Rate-equation approach for frequency-modulation mode locking using the moment method,” J. Opt. Soc. Am. B 22, 2570-2580 (2005). [CrossRef]
  28. N. Usechak and G. Agrawal, “Semi-analytic technique for analyzing mode-locked lasers,” Opt. Express 13, 2075-2081 (2005). [CrossRef] [PubMed]
  29. F. Rana, R. J. Ram, and H. A. Haus, “Quantum noise of actively mode-locked lasers with dispersion and amplitude/phase modulation,” IEEE J. Quantum Electron. 40, 41-56 (2004). [CrossRef]
  30. H. A. Haus and A. Mecozzi, “Noise of mode-locked lasers,” IEEE J. Quantum Electron. 29, 983-996 (1993). [CrossRef]
  31. A. B. Matsko, D. Eliyahu, P. Koonath, D. Seidel, and L. Maleki are preparing a manuscript to be called “Theory of coupled optoelectronic microwave oscillator II: noise properties.”
  32. H. A. Haus and Y. Silberberg, “Laser mode locking with addition of nonlinear index,” IEEE J. Quantum Electron. 22, 325-331 (1986). [CrossRef]
  33. G. P. Agrawal and N. A. Olsson, “Self-phase modulation and spectral broadening of optical pulses in semiconductor laser amplifiers,” IEEE J. Quantum Electron. 25, 2297-2305 (1989). [CrossRef]
  34. D. Eliyahu, R. A. Salvatore, and A. Yariv, “Effect of noise on the power spectrum of passively mode-locked lasers,” J. Opt. Soc. Am. B 14, 167-174 (1997). [CrossRef]
  35. M. E. Grein, H. A. Haus, Y. Chen, and E. P. Ippen, “Quantum-limited timing jitter in actively modelocked lasers,” IEEE J. Quantum Electron. 40, 1458-1470 (2004). [CrossRef]
  36. H. A. Haus, D. J. Jones, E. P. Ippen, and W. S. Wong, “Theory of soliton stability in asynchronous modelocking,” J. Lightwave Technol. 14, 622-627 (1996). [CrossRef]
  37. S. Longhi and P. Laporta, “Time-domain analysis of frequency modulation laser oscillation,” Appl. Phys. Lett. 73, 720-722 (1998). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


Fig. 1 Fig. 2 Fig. 3

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited