• Journal of the Korean Mathematical Society
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• v.58 no.4
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• pp.873-894
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• 2021

In this paper, we consider the Gudnason model of 𝒩 = 2 supersymmetric field theory, where the gauge field dynamics is governed by two Chern-Simons terms. Recently, it was shown by Han et al. that for a prescribed configuration of vortex points, there exist at least two distinct solutions for the Gudnason model in a flat two-torus, where a sufficient condition was obtained for the existence. Furthermore, one of these solutions has the asymptotic behavior of topological type. In this paper, we prove that such doubly periodic topological solutions are uniquely determined by the location of their vortex points in a weak-coupling regime.

• Journal of IKEEE
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• v.3 no.1 s.4
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• pp.29-38
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• 1999

In this paper, the effects of superstrate on the radiation patterns of dipole on cylindrical bianisotropic subtrates were studied. Special constitutive relations are used to describe the bianisotropic properties of a material, such that the Green's function can be formulated. Electromagnetic fields and hounds conditions in spectral region were used to find Creen's function of the spectral representation and electromagnetic fields in space region were derived through inverse Fourier transformations of fields in spectral region using asymptotic formula for far zone. Radiation characteristics of axial Hertzian dipole on superstrate leaded cylindrical bianisotropic substrates were analyzed.

• Journal of the Korean Institute of Telematics and Electronics D
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• v.36D no.11
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• pp.1-11
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• 1999

In this paper, the effects of superstrate on the radiation patterns of dipole on cylindrical bianisotropic substrates were studied. Special constitutive relations are used to describe the bianisotropic properties of a material, such that the Green's function can be formulated. Electromagnetic fields and boundary conditions in spectral region were used to find Green's function of the spectral representation and electromagnetic fields in space region were derived through inverse Fourier transformations of fields in spectral region using asymptotic formula for far zone. Radiation characteristics of axial Hertzian dipole on superstrate loaded cylindrical bianisotropic substrates were obtained. The effects of bianisotropic superstrate on the radiation properties of the antennas including beam scanning, directivity enhancement, dark-region illumination, and on horizon radiation, are discussed.