Skip to main content

Optoelectronic oscillator (OEO) Differential Equations as the Laser System with Modulation and Positive Feedback

  • Chapter
  • First Online:
Laser Optoelectronic Oscillators

Part of the book series: Springer Series in Optical Sciences ((SSOS,volume 232))

  • 555 Accesses

Abstract

This chapter is devoted to the main features of the optoelectronic oscillator, which is considered as the self-oscillating laser system with modulation, which is spanned by the positive feedback loop. We compose symbolic and abbreviated equations of OEO and examine its analog model taking into consideration the laser fluctuations. We discuss the symbolic differential equations of ОЕО with direct modulation and ОЕО with Mach–Zehnder modulator. We investigate the oscillation stability of ОЕО and analyze the self-oscillation conditions and oscillation existence conditions. Then we investigate the dynamics of transients. We describe the differential equation of OEO with Langevinian noise sources. The main positions of the fluctuation laser model are discussed and Langevinian noise sources are described for OEO oscillating system. Relying on the symbolic constitutive equations of the laser with fluctuations, we construct the analog modelstaking into account the laser noises. We analyze the symbolic differential equations of the laser with fluctuations in the quasi-stationary mode for the small signal. We estimate the effect of the spontaneous laser emission. At that, we use the approach basing on the symbolic equation of OEO and on the method of abbreviated fluctuation equations of Evtianov–Kuleshov.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 139.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 179.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 179.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. I.V. Komarov, S.M. Smolskiy, Fundamentals of Short-Range FM Radar (Artech House, Norwood, 2003)

    Google Scholar 

  2. N. Yoshida, Oscillation Theory Of Partial Differential Equations (World Scientific Publishing, Singapore, 2008)

    Book  Google Scholar 

  3. Alexander A. Bortsov and Sergey M. Smolskiy, Opto-Electronic Oscillator with Mach-Zender Modulator. Infocommunications Journal, Vol. XI, No 1, 45–53 (2019),DOI: 10.13140/RG.2.2.20992.69126

    Google Scholar 

  4. J.W. Goodman, Speckle Phenomena in Optics: Theory and Applications (Roberts and Company publishers, Englewood, 2006)

    Google Scholar 

  5. Alexander A. Bortsov, Yuri B. Il’in, Laser spectral line widening effect on RF phase and amplitude noises of an optoelectronic oscillator OEO. J. Radio Eng. (2), 21–31 (2010),DOI: 10.13140/RG.2.2.35665.07527

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2020 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Bortsov, A.A., Il’in, Y.B., Smolskiy, S.M. (2020). Optoelectronic oscillator (OEO) Differential Equations as the Laser System with Modulation and Positive Feedback. In: Laser Optoelectronic Oscillators. Springer Series in Optical Sciences, vol 232. Springer, Cham. https://doi.org/10.1007/978-3-030-45700-6_5

Download citation

Publish with us

Policies and ethics