volume | PIER Journals

Abstract

The classical soft-and-hard surface boundary conditions have previously been generalized to the form a Â· E = 0 and b Â· H = 0 where a and b are two complex vectors tangential to the boundary.A realization for such a boundary is studied in terms of a slab of special wave-guiding anisotropic material. It is shown that analytic expressions can be found for the material parameters and thickness of the slab as functions of the complex vectors a and b. Application of a generalized soft-and-hard boundary as a polarization transformer is studied in detail.

1. Kildal, P. S., "Definition of artificially soft and hard surfaces for electromagnetic waves," Electronics Letters, Vol. 24, No. 3, 168-170, 1988. Google Scholar

2. Kildal, P. S., "Artificially soft and hard surfaces in electromagnetics," IEEE Trans. Antennas Propagat., Vol. 38, No. 10, 1537-1544, 1990.
doi:10.1109/8.59765 Google Scholar

3. Cutler, C. C., "Electromagnetic waves guided by corrugated surfaces," Bell Telephone Labs. Report, No. 10, 44-160, 1944. Google Scholar

4. Cutler, C. C., "Genesis of the corrugated electromagnetic surface," IEEE Int. Antennas Propagat. Symp. Dig., Vol. 32, No. 6, 1456-1459, 1994. Google Scholar

5. Elliott, R. S., "On the theory of corrugated plane surfaces," I.R.E. Trans. Antennas Propagat., No. 4, 71-81, 1954. Google Scholar

6. Rumsey, V. H., "Horn antennas with uniform power patterns around their axes," IEEE Trans. Antennas Propagat., Vol. 14, No. 9, 656-658, 1966.
doi:10.1109/TAP.1966.1138747 Google Scholar

7. Lindell, I. V., "The ideal boundary and generalized soft-and-hard surface," Proc. IEE Microw. Antennas Propagat., Vol. 147, No. 12, 495-499, 2000.

8. Lindell, I. V., "Generalized soft-and-hard surface," IEEE Trans. Antennas Propagat., Vol. 50, No. 7, 926-929, 2002.
doi:10.1109/TAP.2002.800698 Google Scholar

9. Lindell, I. V. and A. H. Sihvola, "Realization of the PEMC boundary," IEEE Trans. Antennas Propagat., Vol. 53, No. 9, 3012-3018, 2005.
doi:10.1109/TAP.2005.854524 Google Scholar

10. Lindell, I. V. and A. H. Sihvola, "Realization of impedance boundary," submitted to IEEE Trans. Antennas Propagat.. Google Scholar

11. Viitanen, A. J., S. A. Tretyakov, and I. V. Lindell, "On the realization of the generalized soft-and-hard surface," Radio Science, Vol. 35, No. 6, 1257-1264, 2000.
doi:10.1029/2000RS002356 Google Scholar

12. Gibbs, J. W. and E. B. Wilson, Vector Analysis, Dover, 1960.

13. Lindell, I. V., Methods for Electromagnetic Field Analysis, 2nd ed., 1995.

Dr. Ilari Hanninen

Prof. Ismo Veikko Lindell

Dr. Ari Sihvola