Abstract :
According to the uniqueness theorem for time-harmonic electromagnetic (EM) field, the field inside a finite domain v is uniquely determined by tangential electric (Et) or magnetic (Ht) field on the bounding surface S, except on resonant frequencies of the domain. This leads to solution methods that enforces either Et, or Ht, or both tangential components on S, e.g., in electric-, magnetic-, or combined-field integral equations (EFIE, MFIE, CFIE) methods. Some methods, e.g., augmented magnetic-field integral equation (AMFIE) method, employ normal component of the field too, but only in addition to tangential component, to avoid spurious resonant solutions. This paper shows that time-harmonic EM problems can be solved by enforcing boundary conditions for normal field components ( En and Hn) only.
Keywords :
electromagnetic fields; harmonics; integral equations; augmented magnetic-field integral equation; boundary conditions; normal field components; resonant frequencies; tangential electric; time-harmonic electromagnetic field; Boundary conditions; Electromagnetic scattering; Integral equations; Magnetic domains; Magnetic resonance; Maxwell equations; Moment methods; Resonant frequency; Taylor series;