Close link between Fabry–Pérot resonance and natural-resonance frequencies

Cem Hasar U., ÖZTÜRK G., Kaya Y., José Barroso J., Ramahi O. M., Ertugul M.

Waves in Random and Complex Media, 2023 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1080/17455030.2023.2169387
  • Dergi Adı: Waves in Random and Complex Media
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Anahtar Kelimeler: Fabry–Pérot resonance, frequency range, low-loss, natural-resonance, weakly-dispersive
  • Atatürk Üniversitesi Adresli: Evet

Özet

© 2023 Informa UK Limited, trading as Taylor & Francis Group.Mathematical and numerical analyses have been performed to examine the close link between Fabry–Pérot resonance and natural-resonance frequencies. For the mathematical analysis, the conditions resulting in minimum magnitudes of reflection coefficients in frequency-domain are derived for air-backed and metal-backed low-loss non-dispersive (or weakly dispersive) dielectric samples with relative complex permittivity (Formula presented.) and thickness L for free-space wave propagation at normal incidence. The close relation between Fabry–Pérot resonance and natural-resonance frequencies is demonstrated for three different sample scenarios as (i) no-dispersion and lossless case ((Formula presented.) and L = 50 mm), (ii) no-dispersion and low-loss case ((Formula presented.) and L = 50 mm), and (iii) weak-dispersion and low-loss case ((Formula presented.) and L = 50 mm where σ is the conductivity of the sample and ω is the angular frequency). It is noted that operating frequency should be increased to observe late-time natural-resonance frequencies for a sample with smaller length or vice versa.