Presentation 2005-09-15
Systematic Derivation of Exactly Solvable Nonuniform Transmission Lines : A Follow-Up Report
Fumio KATO,
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Abstract(in English) We consider nonuniform and lossless transmission lines (LC lines, for short) with distributed inductance L(x) and distributed capacitance C(x) per unit length. A more powerful technique than one, which has lately been discussed by the author, will be presented to obtain exactly solvable nonuniform LC lines successively and endlessly by applying a kind of transformation to the solutions of the corresponding Liouville Normal Form. The transformations are Liouville's transformation which yields the so-called Liouville Normal Form and LC Exchange. Though the transformation is rather complicated (compared with the former one), it produces much wider range of exactly solvable lines and creates the possibilities to establish a systematized synthesis theory of nonuniform LC lines.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Transmission Line / Liouville Transformation / Liouville Normal Form / Exactly Solvable Line / Synthesis
Paper # CAS2005-29,NLP2005-42
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Committee NLP
Conference Date 2005/9/8(1days)
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Registration To Nonlinear Problems (NLP)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Systematic Derivation of Exactly Solvable Nonuniform Transmission Lines : A Follow-Up Report
Sub Title (in English)
Keyword(1) Transmission Line
Keyword(2) Liouville Transformation
Keyword(3) Liouville Normal Form
Keyword(4) Exactly Solvable Line
Keyword(5) Synthesis
1st Author's Name Fumio KATO
1st Author's Affiliation School of Engineering, Hokkaido Tokai University()
Date 2005-09-15
Paper # CAS2005-29,NLP2005-42
Volume (vol) vol.105
Number (no) 276
Page pp.pp.-
#Pages 6
Date of Issue