Numerically efficient analysis of slot-lines in multilayer media using closed form Green's functions

A numerically efficient technique for the analysis of slot-line geometries in multilayer media is presented using closed-form Green's functions in the spatial domain employed in conjunction with the Method of Moments (MoM). The computed equivalent magnetic current distribution on the slot is used to determine the power radiated by the slot and the input impedance. In power calculations, the spatial domain Green's functions are approximated as a power series of radial distance, and the integrals involving the Green's functions are carried out analytically saving considerable amount of computation time.


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This paper presents a novel method for effective computation of Sommerfeld integrals which arise in problems involving antennas or scatterers embedded in planar multilayered media. Sommerfeld integrals that need to be computed in the evaluation of spatial-domain Green's functions are often highly oscillatory and slowly decaying. For this reason, standard numerical integration methods are not efficient for such integrals, especially at millimeter waves. The main motivation of the proposed method is to comput...
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Derivation of the closed-form Green's functions and analytical evaluation of the method of moments (MOM) matrix entries have improved the computational efficiency of the significantly in the analysis of printed geometries. With this background in mind, an extension of this efficient numerical technique is to incorporate an optimization algorithm and to assess its potential as a computer-aided design (CAD) tool. Therefore, we have employed the Gradient search and Genetic algorithms, in conjunction with the e...
An Efficient Approach for Evaluation of Multilayered Media Green's Functions
ÖZGÜN, ÖZLEM; Li, Chao; Kuzuoğlu, Mustafa; Mittra, Raj (2021-01-01)
© 2021 IEEE.In this study, a novel approach is presented for efficient evaluation of Sommerfeld integrals arising in spatial-domain Green's functions in planar multilayered media. This approach allows us to tackle the difficulties encountered during the integration of the Sommerfeld integrals, which exhibit highly oscillatory and slowly decaying nature occurring especially at very high frequencies, e.g., at millimeter waves, that are finding increasing use in applications such as 5G and beyond. The oscillat...
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The first-order unified linear instability analysis (LISA) of the governing equation for the evolution of surfaces and interfaces under capillary, electromigration (EM), and elastostatic forces is developed. A formal treatment of the thermomigration (Soret effect) driven by the nonuniform temperature distribution caused by exothermic phase transformation (growth) at the surface and interfacial layers is presented and its apparent influence on the capillary force in connection with the stability is also esta...
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Citation Formats
M. G. Dural Ünver and M. Aksun, “Numerically efficient analysis of slot-lines in multilayer media using closed form Green’s functions,” 1996, p. 576, Accessed: 00, 2020. [Online]. Available: