Skip to main content
SpringerLink
Log in

A plane wave derivation of the Bragg acoustooptic equations and their application to the scattering of finite-width optical beams

  • Papers
  • Published:
Optical and Quantum Electronics Aims and scope Submit manuscript

Abstract

The equations describing the interaction between an optical beam and an acoustic wave are derived using plane waves derived from elementary scattering sources. The results obtained are in good agreement with other well-known methods such as the differential difference equation approach. The equations are applied to the acousto-optic interaction in the weak and strong approximations and also to the scattering of finite-width optical beams with rectangular and Gaussian profiles. It is shown that in both cases the second or backscattered beam (A′ 0) produces a substantial modification in the through beam (A 0) resulting in an intensity null at some point in the beam profile. Equations are derived for the diffraction efficiency in finite-width beams and it is shown that in order to achieve maximum efficiencies it is essential to use small values of the parameter γ =Lθ B/W.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. R. W. Damon, W. T. Maloney andD. H. McMahon, ‘Physical Acoustics’, Vol. 7 (edited by W. P. Mason and R. N. Thurston) (Academic Press, New York, 1970) Ch. 5.

    Google Scholar 

  2. E. I. Gordon,Proc. IEEE 54 (1966) 1391–401.

    Google Scholar 

  3. A. Korpel, ‘Acousto-Optics. Applied Solid State Science, Vol. 3: Advances in Materials and Device Research’ (edited by R. Wolfe) (Academic Press, New York, 1972) pp. 71–180.

    Google Scholar 

  4. I. C. Chang,IEEE Trans. Sonics Ultrasonics SU-23 (1976) 2–21.

    Google Scholar 

  5. W. R. Klein andB. D. Cook,ibid SU-14 (1967) 123–34.

    Google Scholar 

  6. M. Born andE. Wolf, ‘Principles of Optics’, 3rd edn (Pergamon Press, New York, 1965) Ch. 12.

    Google Scholar 

  7. R. Adler,IEEE Spectrum 4 May (1967) 42–54.

    Google Scholar 

  8. D. A. Pinnow,IEEE J. Quant. Elect. QE-6 (1970) 223–38.

    Google Scholar 

  9. S. A. Schelkunoff, ‘Electromagnetic Waves’ (Van Nostrand and Co., Princeton, New Jersey, 1956) p. 55.

    Google Scholar 

  10. R. S. Chu andT. Tamir,J. Opt. Soc. Amer. 66 (1976) 220–6.

    Google Scholar 

  11. M. G. Moharam andL. Young,Appl. Opt. 17 (1978) 1757–9.

    Google Scholar 

  12. R. Bracewell, ‘The Fourier Transform and its Applications’ (McGraw-Hill, New York, 1965).

    Google Scholar 

  13. G. A. Campbell andR. M. Foster, ‘Fourier Integrals for Practical Applications’ (Van Nostrand and Co., Princeton, New Jersey, 1948).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Philips Research Laboratories, Redhill, Surrey, UK

    A. J. Fox

Authors
  1. A. J. Fox
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fox, A.J. A plane wave derivation of the Bragg acoustooptic equations and their application to the scattering of finite-width optical beams. Opt Quant Electron 14, 189–200 (1982). https://doi.org/10.1007/BF00619599

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00619599

Keywords

Search

Navigation