Convergence of Approximate Potential Functions for Vector Field in Electromagnetic Waveguides
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概要
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The convergence of an approximate electric and an approximate magnetic potential function representing vector field in electromagnetic waveguides is discussed. The two potential functions are expressed in the form of integral of Green's functions and the boundary values of the vector field. Based on these expressions, it is proved that two approximate potential functions converge uniformly to their true potential functions, respectively, when the approximate field satisfies the boundary conditions in vector field in the sense of mean square. Then, the inequalities about convergence of the approximate potential functions on a boundary are deduced. Using the inequalities, it is also shown that the boundary conditions in vector field can be satisfied when the approximate potential functions are expressed by the finite series of modal functions.
- 九州大学大学院総合理工学研究科の論文
- 1994-06-01
九州大学大学院総合理工学研究科 | 論文
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