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<p>The Tinkham formula is commonly&#xa0;used to study the&#xa0;transmission characteristics of electromagnetic waves through thin conducting films. However, its applicabiltiy is constrained by certain film parameters,&#xa0;such as thickness and electrical conductivity. Herein, we systematically&#xa0;investigate the validity ranges of the Tinkham formula for metal films whose electrical and optical properties are described by the Drude model. Specifically, we compare analytical and numerical results for the terahertz transmission through various metal films with&#xa0;providing appropriate application conditions for the Tinkham formula.</p>

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Heuristic investigation for valid application of the Tinkham formula in the Drude metal thin film

  • 期刊论文

  • 发表日期：

    2025年7月16日

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  • Young Sun Lee,
  • Sang Youn Ahn,
  • Hajung Park,
  • Sung Ju Hong,
  • Young-Mi Bahk

摘要

The Tinkham formula is commonly used to study the transmission characteristics of electromagnetic waves through thin conducting films. However, its applicabiltiy is constrained by certain film parameters, such as thickness and electrical conductivity. Herein, we systematically investigate the validity ranges of the Tinkham formula for metal films whose electrical and optical properties are described by the Drude model. Specifically, we compare analytical and numerical results for the terahertz transmission through various metal films with providing appropriate application conditions for the Tinkham formula.