New nonlinear magnetostatic surface waves in a ferromagnetic (YIG)


The general propagation characteristics of magnetostatic surface waves guided by a single interface of a semi-infinite nonlinear dielectric cover and a ferromagnetic substrate (YIG) have been derived. The nonlinear dielectric cover has intensity dependent refractive indices. The magnetostatic approximation is considered and retardation is ignored in describing the electromagnetic fields in the structure. The used magnetostatic approximation is leading to new waves and might be called nonlinear magnetostatic surface waves. The propagation of these waves is non-reciprocal in contrast to the linear magnetostaic surface waves, which had been only found in the negative direction of propagation.

This is a preview of subscription content, access via your institution.


  1. 1.

    R.W. Damon, J. Esbach, J.Phys.Chem.Solids, 19, (1961), 308

    Google Scholar 

  2. 2.

    B. Lax and K.J. Button, Microwave Ferrites and Ferrimagnetics, McGRaw-Hill, New York, (1962)

    Google Scholar 

  3. 3.

    S.R.Seshadri, Proceeding of the IEEE, March (1970), 506

  4. 4.

    R.E. Camley, Surface Science Reports, vol.7, (1987), 103

    Google Scholar 

  5. 5.

    D.F.Vaslow, Proceeding of the IEEE, Jan. (1973), 142

  6. 6.

    I.K a sa, Microwave Integrated Circuits, Elsevier, (1991)

  7. 7.

    J.D. Adam, M.R. Daniel, and D.K. Schroder, Electronics, 2, (1980), 123

    Google Scholar 

  8. 8.

    A.D.Boardman, Electromagnetic Surface Modes, John Wiley&Sons Ltd. (1982)

  9. 9.

    M.S. Sodha, N.C. Srivastava, Microwave Propagation in Ferrimagnetics, Plenum Press, New York and London, (1981)

    Google Scholar 

  10. 10.

    A.D. Boardman, M.M. Shabat, and R F Wallis, Phys.Rev. B, 41(1), (1990), 717

    Google Scholar 

  11. 11.

    R F Wallis, A.D. Boardman, and M.M. Shabat, in Nonlinear Waves in Solid State Physics, eds. A.D. Boardman, M. Bertolotti, and T. Twarowski, NATO ASI Series B; Physics, Vol.247, Plenum Press, New York, (1990), 51–93

    Google Scholar 

  12. 12.

    A.D. Boardman, M.M. Shabat, and R.F. Wallis,J.Phys.D: Appl.Phys.24,(1991), 1702

    Google Scholar 

  13. 13.

    M.M.Shabat, Int.J.Infrared and Millimeter Waves, 15(7), (1994), (in press)

  14. 14.

    M.M. Shabat, Int.J.Infrared and Millimeter Waves, 14(5), (1993), 1107

    Google Scholar 

  15. 15.

    A.K. Zvezdin, A.F. Popkov, Sov.Phys.JETP, 57(2), (1983), 350

    Google Scholar 

  16. 16.

    A.D. Boardman, S.A. Nikitov, and Q. wang, IEEE Trans.on Magnetics, 30(1), (1994), 1

    Google Scholar 

  17. 17.

    A.D. Boardman, Q. wang, S.A. Nikitov, J. Shen, W. Chen, D. Mills, and J.S. Bao, IEEE Trans.on Magnetics, 30(1), (1994), 14

    Google Scholar 

  18. 18.

    R. Marcelli, and P. De Gaspersi, IEEE Trans.on Magnetics, 30(1), (1994), 26

    Google Scholar 

  19. 19.

    N.S. Chang, S. Yamada, and Y. Matsuo, Wave Electronics, 2, (1976), 341

    Google Scholar 

Download references

Author information



Rights and permissions

Reprints and Permissions

About this article

Cite this article

Shabat, M.M. New nonlinear magnetostatic surface waves in a ferromagnetic (YIG). Int J Infrared Milli Waves 15, 1651–1662 (1994).

Download citation


  • Refractive Index
  • Propagation Characteristic
  • Electromagnetic Field
  • Surface Wave
  • Negative Direction