Skip to main content
SpringerLink
Log in

Low efficiency diffraction by nonuniform phase gratings: a comparison of three approaches

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

Abstract

The diffraction of a slowly varying input beam incident upon a nonuniform grating is studied. Expressions for the diffracted field at the output of the grating are first derived relying on well known kinematic and coupled wave theories. A third approach based on Fourier expansions of both the input beam and the quasi-periodic grating is then introduced and shown to provide the same expression under certain simplifying assumptions. The advantages of the approach for the solution of more general problems are discussed.

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. B. W. Batterman andH. Cole,Rev. Mod. Phys. 36 (1964) 681.

    Google Scholar 

  2. C. V. Raman andN. S. Nagendra Nath,Proc. Ind. Acad. Sci. A2 (1935) 413.

    Google Scholar 

  3. Idem, ibid. A3 (1936) 119.

    Google Scholar 

  4. W. R. Klein andB. D. Cook,Trans. IEEE SU-14 (1967) 123.

    Google Scholar 

  5. H. Kogelnik,Bett. Syst. Tech. J. 48 (1969) 2909.

    Google Scholar 

  6. L. Solymar andD. J. Cooke, ‘Volume Holography and Volume Gratings’, (Academic Press, London, 1981).

    Google Scholar 

  7. L. Solymar,Appl. Phys. Lett. 31 (1977) 820.

    Google Scholar 

  8. L. Solymar, B. Benlarbi andD. J. Cooke,Opt. Quant. Electron. 11 (1979) 558.

    Google Scholar 

  9. N. Kato,Acta Cryst. 13 (1960) 349.

    Google Scholar 

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

    Google Scholar 

  11. M. R. B. Forshaw,Opt. Commun. 15 (1973) 201.

    Google Scholar 

  12. M. Born andE. Wolf, ‘Principles of Optics’, (Pergamon Press, Oxford, 1980).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Holography group, Department of Engineering Science, Oxford University, Oxford, UK

    J. W. Lewis & L. Solymar

Authors
  1. J. W. Lewis
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. L. Solymar
    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

Lewis, J.W., Solymar, L. Low efficiency diffraction by nonuniform phase gratings: a comparison of three approaches. Opt Quant Electron 15, 297–303 (1983). https://doi.org/10.1007/BF00619899

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00619899

Keywords

Search

Navigation