A Use of Current Continuity Condition in GTD-MM Hybrid Technique

Xu ZHANG  Naoki INAGAKI  Nobuyoshi KIKUMA  

IEICE TRANSACTIONS on Electronics   Vol.E74-C    No.7    pp.2055-2060
Publication Date: 1991/07/25
Online ISSN: 
Print ISSN: 0916-8516
Type of Manuscript: PAPER
Category: Electromagnetic Theory

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A current continuity equation is proposed as the additional equation for the GTD-MM hybrid technique formulation to acquire the uniqueness of the solution which were nonexistent in the conventional formulation with the matching-point equation. The current continuity equation, which ensures the current continuity and satisfies the boundary condition, can directly be written down through equating the MM-region current to the GTD-region current at the regions boundary. It is proved that the current continuity equation is equivalent to the matching-point equation of special case when the matching-point located very close to the boundary, which were able to give the best solution in the conventional formulation with the matching-point equation as explained by Burnside et al. The validity of the new equation is confirmed through the numerical results.