A general calculation technique for the Green's functions in the mixed potential integral equation formulation of microstrip-slot circuits

2002 ◽  
Author(s):  
K. Blomme ◽  
N. Fache ◽  
D. De Zutter
Keyword(s):  
Integral Equation ◽  
Green's Functions ◽  
Green’S Functions ◽  
Mixed Potential ◽  
Equation Formulation ◽  
Calculation Technique ◽  
Integral Equation Formulation

scholarly journals Mixed-Potential Integral Equation Based Characteristic Mode Analysis of Microstrip Antennas

2016 ◽  
Vol 2016 ◽  
pp. 1-8 ◽  
Author(s):  
Yikai Chen ◽  
Liwen Guo ◽  
Shiwen Yang
Keyword(s):  
Integral Equation ◽  
Modal Analysis ◽  
Green's Functions ◽  
Green’S Functions ◽  
Microstrip Antennas ◽  
Spatial Domain ◽  
Mode Analysis ◽  
Mixed Potential ◽  
Multilayered Media ◽  
Characteristic Mode

A characteristic mode (CM) formulation is developed for the modal analysis of microstrip antennas. It is derived from the mixed-potential integral equation (MPIE) with spatial-domain Green’s functions for multilayered media, where spatial-domain Green’s functions take into account the effect of the multilayered media. The resultant characteristic currents and fields are orthogonal with each other among different orders of modes. Together with the eigenvalues and their deduced indicators, the CMs provide deep physical insights into the radiation mechanisms of microstrip antennas. Numerical results are presented to confirm CM formulation’s effectiveness and accuracy in determining the resonant frequencies, radiating mode currents, and modal fields of microstrip antennas. As opposed to the very popular CM formulation for conducting bodies, comparative studies are presented to show the quite different modal analysis results by considering the multilayered media.

On periodic water-waves and their convergence to solitary waves in the long-wave limit

1981 ◽  
Vol 303 (1481) ◽  
pp. 633-669 ◽  
Keyword(s):  
Integral Equation ◽  
Solitary Waves ◽  
Water Waves ◽  
Periodic Problem ◽  
Existence Theory ◽  
Periodic Waves ◽  
Equation Formulation ◽  
Long Wave ◽  
Integral Equation Formulation ◽  
Wave Limit

A detailed discussion of Nekrasov’s approach to the steady water-wave problems leads to a new integral equation formulation of the periodic problem. This development allows the adaptation of the methods of Amick & Toland (1981) to show the convergence of periodic waves to solitary waves in the long-wave limit. In addition, it is shown how the classical integral equation formulation due to Nekrasov leads, via the Maximum Principle, to new results about qualitative features of periodic waves for which there has long been a global existence theory (Krasovskii 1961, Keady & Norbury 1978).

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