论文标题
电磁学的自偶边界条件
Self-Dual Boundary Conditions in Electromaagnetics
论文作者
论文摘要
自我双重属性二元转化的不变性在电磁工程中具有重要的应用。在本文中,研究了大多数通用线性和局部边界条件具有自dual属性的问题。根据普遍的阻抗二元形式表达边界条件,自偶型边界属于两组,具体取决于阻抗二元的对称性或反对称性。以前已知的病例被认为是一般理论的特殊情况。分析了由两个自我双重条件中每种情况定义的边界的平面波反射,并确定与相应边界相匹配的波。作为一个数字示例,从特殊情况下的反射,即自动偶联EH边界,计算出两个发射机的平面。
Invariance in duality transformation, the self-dual property, has important applications in electromagnetic engineering. In the present paper, the problem of most general linear and local boundary conditions with self-dual property is studied. Expressing the boundary conditions in terms of a generalized impedance dyadic, the self-dual boundaries fall in two sets depending on symmetry or antisymmetry of the impedance dyadic. Previously known cases are found to appear as special cases of the general theory. Plane-wave reflection from boundaries defined by each of the two cases of self-dual conditions are analyzed and waves matched to the corresponding boundaries are determined. As a numerical example, reflection from a special case, the self-dual EH boundary, is computed for two planes of incidence.