Title :
Realization of the
Boundary Condition
Author :
Lindell, Ismo V. ; Sihvola, Ari ; Bergamin, Luzi ; Favaro, Alberto
Author_Institution :
Dept. of Radio Sci. & Eng., Aalto Univ., Espoo, Finland
fDate :
7/3/1905 12:00:00 AM
Abstract :
In this letter, we find a realization for the D´B´ boundary conditions, which imposes vanishing normal derivatives of the normal components of the D- and B-fields. The implementation of the DB boundary, requiring vanishing normal components of D and B, is known. It is shown that the realization of the D´B´ boundary can be based on a layer of suitable metamaterial, called the wave-guiding quarter-wave transformer, which transforms the DB boundary to the D´B´ boundary. This is demonstrated by a numerical example. In an appendix, the mixed-impedance boundary, which is a generalization of both DB and D´B´ boundaries, is shown to transform to another mixed-impedance boundary through the same transformer.
Keywords :
boundary-value problems; electromagnetic field theory; D´B´ boundary condition; DB boundary; boundary-value problems; electromagnetic theory; mixed-impedance boundary; wave-guiding quarter-wave transformer; Antennas; Boundary conditions; Electromagnetics; Equations; Impedance; Materials; Surface impedance; Boundary conditions; electromagnetic theory; metamaterials;
Journal_Title :
Antennas and Wireless Propagation Letters, IEEE
DOI :
10.1109/LAWP.2011.2159698