Scholarlink

<p>The plasma and resonance frequencies are the electrical and optical properties, which are related to material dispersion and propagation of the electromagnetic wave through dielectric media. They are normally regarded as two independent parameters. The energies of the resonator and plasmon are conserved. Propagation of the conserved property obeys a wave equation. A general solution for the wave equation is expressed as the Fourier series of the infinite harmonic functions of the phase, which connects the wave equation with Planck’s distribution function. The energy quantization is a mathematical consequence of the Fourier series of the kinetic energy. It is experimentally confirmed by the observed overtone bands in the infrared spectra of crystals. Using Parseval’s relation allows one to calculate the eigenenergy of an elastic mode. Since the resonator and plasmon have different mode numbers, this feature leads to a linear relationship between the resonance and plasma frequencies. Experimentally, the temperature-dependent resonance and plasma frequencies can be determined by measuring the material dispersion. The proposed relationship was confirmed by measuring material dispersion of silica glass at different temperatures.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

From parseval’s relation to planck’s distribution function, an approach leading to a linear relationship between the resonance and plasma frequencies of dielectric media

  • 期刊论文

  • 发表日期：

    2026年1月6日

查看全文
  • C. Z. Tan

摘要

The plasma and resonance frequencies are the electrical and optical properties, which are related to material dispersion and propagation of the electromagnetic wave through dielectric media. They are normally regarded as two independent parameters. The energies of the resonator and plasmon are conserved. Propagation of the conserved property obeys a wave equation. A general solution for the wave equation is expressed as the Fourier series of the infinite harmonic functions of the phase, which connects the wave equation with Planck’s distribution function. The energy quantization is a mathematical consequence of the Fourier series of the kinetic energy. It is experimentally confirmed by the observed overtone bands in the infrared spectra of crystals. Using Parseval’s relation allows one to calculate the eigenenergy of an elastic mode. Since the resonator and plasmon have different mode numbers, this feature leads to a linear relationship between the resonance and plasma frequencies. Experimentally, the temperature-dependent resonance and plasma frequencies can be determined by measuring the material dispersion. The proposed relationship was confirmed by measuring material dispersion of silica glass at different temperatures.