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Abstract— <p>We present an analytically precise equation for calculating dispersion of modes propagating in a planarized double metal waveguide of a quantum cascade laser (QCL). The resulting solution is based on a modification of Marcatili’s method, which involves specifying ideal conductor-type boundary conditions at metal contact points with the active region. The absence of a cutoff frequency for the fundamental mode <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(E_{{00}}^{y}\)</EquationSource> <!--BullLeb2560284Zhmud-m1--> </InlineEquation> is demonstrated, and dispersion of this mode is studied in the frequency range below 1 THz, including the microwave range. To estimate the possible value of the real refractive index of the QCL heterostructure, various electron density distribution profiles along the cascade are considered.</p>

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Dispersion of a Planarized Double Metal Waveguide of a Quantum Cascade Laser in the Sub-THz Frequency Range

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • B. A. Zhmud’,
  • I. E. Rykov,
  • F. I. Zubov,
  • A. S. Sobolev,
  • R. A. Khabibullin

摘要

Abstract—

We present an analytically precise equation for calculating dispersion of modes propagating in a planarized double metal waveguide of a quantum cascade laser (QCL). The resulting solution is based on a modification of Marcatili’s method, which involves specifying ideal conductor-type boundary conditions at metal contact points with the active region. The absence of a cutoff frequency for the fundamental mode \(E_{{00}}^{y}\) is demonstrated, and dispersion of this mode is studied in the frequency range below 1 THz, including the microwave range. To estimate the possible value of the real refractive index of the QCL heterostructure, various electron density distribution profiles along the cascade are considered.