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Anisotropic recursive dyadic Green's function 3D theory for a radially inhomogeneous microstrip circular ferrite circulator

✍ Scribed by Clifford M. Krowne

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 237 KB
Volume: 12
Category: Article
ISSN: 0894-3370
DOI: 10.1002/(sici)1099-1204(199909/10)12:5<355::aid-jnm340>3.0.co;2-8

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✦ Synopsis

Here we develop a three-dimensional (3D) dyadic recursive Green's function with elements GQR GH suitable for determining the electric "eld component E X and magnetic "eld component H ( anywhere within a circular, planar (microstrip or stripline) circulator. All of the other components may also be found, as none are zero in the 3D model which includes a "nite thickness h of the substrate. The recursive nature of GQR GH is a re#ection of the inhomogeneous region being broken up into one inner disk containing a removable singularity and N annuli. GQR GH (r, , z) is found for any arbitrary point (r, , z) within the disk region and within any ith annulus. Speci"cation of GQR GH , i"E, j"H, s"z, t" or z, at the circulator diameter r"R leads to the determination of the circulator s-parameters. The ports have been separated into discretized ports with elements (subports) and continuous ports. It is shown how GXR #& (R, , z) enables s-parameters to be found for a simple case of a three port ferrite circulator. Because of the general nature of the problem construction, the ports may be located at arbitrary azimuthal angle and possess arbitrary line widths. Inhomogeneities can occur because of variations in the applied magnetic "eld H

, magnetization 4 M , and demagnetization factor N . All inhomogeneity e!ects are put into the frequency-dependent tensor elements of the anisotropic permeability tensor L . Because of the z-variation present in the "nite thickness model, TEM, TM, and TE modal decompositions are not allowed for the 3D analysis, and instead it is found that new coupled governing equations describe the "eld behaviour in the circulator. The theory is readily adapted to constructing a computer code for numerical evaluation of "nite thickness devices.

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the DGA, the CNRS, and especially the IDRIS for the use of their computer.