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Super-Accuracy Calculation for the Half Width of a Voigt Profile

Author

Listed:
  • Yihong Wang

    (School of Energy and Environment, Southeast University, Nanjing 210096, China)

  • Bin Zhou

    (School of Energy and Environment, Southeast University, Nanjing 210096, China)

  • Rong Zhao

    (School of Energy and Environment, Southeast University, Nanjing 210096, China)

  • Bubin Wang

    (School of Energy and Environment, Southeast University, Nanjing 210096, China)

  • Qi Liu

    (School of Energy and Environment, Southeast University, Nanjing 210096, China)

  • Minglu Dai

    (School of Energy and Environment, Southeast University, Nanjing 210096, China)

Abstract

A simple approximation scheme to describe the half width of the Voigt profile as a function of the relative contributions of Gaussian and Lorentzian broadening is presented. The proposed approximation scheme is highly accurate and provides an accuracy better than 10 −17 for arbitrary α L / α G ratios. In particular, the accuracy reaches an astonishing 10 − 34 (quadruple precision) in the domain 0 ≤ α L /α G ≤ 0.2371 ∪ α L / α G ≥ 33.8786.

Suggested Citation

  • Yihong Wang & Bin Zhou & Rong Zhao & Bubin Wang & Qi Liu & Minglu Dai, 2022. "Super-Accuracy Calculation for the Half Width of a Voigt Profile," Mathematics, MDPI, vol. 10(2), pages 1-14, January.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:2:p:210-:d:721861
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    References listed on IDEAS

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    1. Malte Selig & Gunnar Berghäuser & Archana Raja & Philipp Nagler & Christian Schüller & Tony F. Heinz & Tobias Korn & Alexey Chernikov & Ermin Malic & Andreas Knorr, 2016. "Excitonic linewidth and coherence lifetime in monolayer transition metal dichalcogenides," Nature Communications, Nature, vol. 7(1), pages 1-6, December.
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