Circuit Theory Based on New Concepts and Its Application to Quantum Theory 10. Extended Telegrapher's Equations Obtained by Using Riccati Differential Equation

Nobuo Nagai; Takashi Yahagi

doi:10.2299/jsp.21.109

Circuit Theory Based on New Concepts and Its Application to Quantum Theory

10. Extended Telegrapher's Equations Obtained by Using Riccati Differential Equation

著者情報

キーワード: extended telegrapher's equation, Riccati differential equation, Pasteur medium, Tellegen medium,, bi-isotropic medium, voltage and current, lossless circuit, resonance, steady-state, active and reactive powers

ジャーナルフリー

2017 年 21 巻 3 号 p. 109-116

DOI https://doi.org/10.2299/jsp.21.109

詳細

抄録

Physical phenomena showing both particle and wave natures at the same time exhibit resonance. In addition, resonance is a physical phenomenon occurring in the steady state. Transient and steady-state responses can be discriminated when transmission lines are used. We demonstrate that (1) extended telegrapher's equations can be obtained using the Riccati differential equation, (2) lossless transmission lines called Pasteur, Tellegen, and bi-isotropic (BI) media can be characterized using the extended telegrapher's equations, and (3) the resonance conditions can be determined for each of these media.

責任著者(Corresponding author)

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