Convergence of Approximate Potential Functions for Vector Field in Electromagnetic Waveguides

DOI 機関リポジトリ (HANDLE) オープンアクセス
  • 久保 洋
    山口大学工学部電気電子工学科
  • 安元 清俊
    九州大学大学院総合理工学研究科情報システム学専攻

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説明

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.

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詳細情報 詳細情報について

  • CRID
    1390009224836890368
  • NII論文ID
    120002168882
  • NII書誌ID
    AN00055101
  • DOI
    10.15017/17330
  • HANDLE
    2324/17330
  • 本文言語コード
    en
  • 資料種別
    departmental bulletin paper
  • データソース種別
    • JaLC
    • IRDB
    • CiNii Articles
  • 抄録ライセンスフラグ
    使用可

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