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A new boundary integral approach to the determination of the resonant modes of arbitrarily shaped cavities

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3 Author(s)
Arcioni, P. ; Dipartimento di Elettronica, Pavia Univ., Italy ; Bressan, M. ; Perregrini, L.

We present an efficient algorithm to determine the resonant frequencies and the normalized modal fields of arbitrarily shaped cavity resonators filled with a lossless, isotropic, and homogeneous medium. The algorithm is based on the boundary integral method (BIM). The unknown current flowing on the cavity wall is considered inside a spherical resonator, rather than in free-space, as it is usual in the standard BIM. The electric field is expressed using the Green's function of the spherical resonator, approximated by a real rational function of the frequency. Consequently, the discretized problem can be cast into the form of a real matrix linear eigenvalue problem, whose eigenvalues and eigenvectors yield the resonant frequencies and the associated modal currents. Since the algorithm does not require any frequency-by-frequency recalculation of the system matrices, computing time is much shorter than in the standard BIM, especially when many resonances must be found

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Microwave Theory and Techniques, IEEE Transactions on  (Volume:43 ,  Issue: 8 )