Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
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By W. Zieniutycz

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Spectral domain approach for continuous spectrum of wide class of microwave integrated circuit (MIC) lines is proposed. The continuous spectrum is treated as a continuum of so called hybrid radiation modes. They are the limits of volume modes of line in which lower and/or upper shieldings are moved to infinity. In the preliminary part of analysis a convenient classification of MIC lines into one-side opened and two-sides opened lines is introduced. The spectral domain representation of hybrid radiation modes is discussed in detail and boundary conditions for visible and invisible parts of spectrum are formulated. The normalization conditions in spectral domain are also proposed for both classes of lines. In the next part of paper an iterative approach in spectral domain is proposed for hr modes of one-side opened line. The boundary conditions for hybrid radiation modes are combined with spectral domain approach and the second order equation is formulated for unknown spectral amplitudes of electric or magnetic fields in visible part of spectrum. Two schemes of iteration are presented and they both lead to solutions classified as hybrid EH(y) and HE(y) modes. In the case of two-sides opened lines the solution is a sum of two partial solutions corresponding to symmetrical and unsymmetrical sources distributions. Each partial solution can be found by the iterative procedure proposed for one-side opened lines. The efficiency of proposed procedure was verified for the case of hybrid radiation modes of microstrip line. The results of calculations of amplitudes and phases of spectral amplitudes in visible spectrum part for examplary hybrid radiation modes are shown. As an example of an application of the hybrid radiation modes concept, the advanced cavity model of rectangular patch antenna is proposed. This model allows to calculate the parameters with acceptable precision nearly ten times faster than professional full-wave design tools. In the conclusion other possible applications of this approach are proposed e.g., in modal analysis of discontinuities including the radiation effect or 3D rectangular patch analysis.

W. Zieniutycz, "Hybrid Radiationb Modes of Microwave Integrated Circuit (MIC) Lines-Theory and Application," Progress In Electromagnetics Research, Vol. 56, 299-322, 2006.

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