Transmission coefficient from generalized Cantor-like potentials and its multifractality

Taichi Ogawana, Hidetsugu Sakaguchi

研究成果: ジャーナルへの寄稿 › 記事

3 引用 (Scopus)

抄録

We study the scattering problem at generalized Cantor-like potentials characterized by the expansion rate a and duplication number N, and derive an exact formula of transmittance. It was found that the transmittance is expressed with Chebyshev polynomials of the second kind, and the multifractality of the reflectance varies depending on a and N.

元の言語英語
記事番号012205
ジャーナルPhysical Review E
巻97
発行部数1
DOI
出版物ステータス出版済み - 1 12 2018

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Multifractality
Transmission Coefficient
Cantor
Transmittance
transmittance
Chebyshev Polynomials
Scattering Problems
Duplication
coefficients
Reflectance
polynomials
Vary
reflectance
expansion
scattering

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

これを引用

Transmission coefficient from generalized Cantor-like potentials and its multifractality. / Ogawana, Taichi; Sakaguchi, Hidetsugu.

：: Physical Review E, 巻 97, 番号 1, 012205, 12.01.2018.

研究成果: ジャーナルへの寄稿 › 記事

Ogawana, T & Sakaguchi, H 2018, 'Transmission coefficient from generalized Cantor-like potentials and its multifractality', Physical Review E, 巻. 97, 番号 1, 012205. https://doi.org/10.1103/PhysRevE.97.012205
Ogawana T, Sakaguchi H. Transmission coefficient from generalized Cantor-like potentials and its multifractality. Physical Review E. 2018 1 12;97(1). 012205. https://doi.org/10.1103/PhysRevE.97.012205
Ogawana, Taichi ; Sakaguchi, Hidetsugu. / Transmission coefficient from generalized Cantor-like potentials and its multifractality. ：: Physical Review E. 2018 ; 巻 97, 番号 1.
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