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A Two-Domain MATLAB Implementation for Efficient Computation of the Voigt/Complex Error Function

Author

Listed:
  • Sanjar M. Abrarov

    (Thoth Technology Inc., Algonquin Radio Observatory, Achray Rd., RR6, Pembroke, ON K8A 6W7, Canada
    Epic College of Technology, 5670 McAdam Rd., Mississauga, ON L4Z 1T2, Canada
    Deptartment Earth and Space Science, York University, 4700 Keele St., Toronto, ON M3J 1P3, Canada)

  • Rehan Siddiqui

    (Epic College of Technology, 5670 McAdam Rd., Mississauga, ON L4Z 1T2, Canada
    Deptartment Earth and Space Science, York University, 4700 Keele St., Toronto, ON M3J 1P3, Canada)

  • Rajinder K. Jagpal

    (Epic College of Technology, 5670 McAdam Rd., Mississauga, ON L4Z 1T2, Canada
    Deptartment Earth and Space Science, York University, 4700 Keele St., Toronto, ON M3J 1P3, Canada)

  • Brendan M. Quine

    (Thoth Technology Inc., Algonquin Radio Observatory, Achray Rd., RR6, Pembroke, ON K8A 6W7, Canada
    Deptartment Earth and Space Science, York University, 4700 Keele St., Toronto, ON M3J 1P3, Canada)

Abstract

In this work we develop a new algorithm for the efficient computation of the Voigt/complex error function. In particular, in this approach we propose a two-domain scheme where the number of the interpolation grid-points is dependent on the input parameter y . The error analysis we performed shows that the MATLAB implementation meets the requirements for radiative transfer applications involving the HITRAN molecular spectroscopic database. The run-time test shows that this MATLAB implementation provides rapid computation, especially at smaller ranges of the parameter x .

Suggested Citation

  • Sanjar M. Abrarov & Rehan Siddiqui & Rajinder K. Jagpal & Brendan M. Quine, 2022. "A Two-Domain MATLAB Implementation for Efficient Computation of the Voigt/Complex Error Function," Mathematics, MDPI, vol. 10(19), pages 1-14, September.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:19:p:3451-:d:922220
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    References listed on IDEAS

    as
    1. Abrarov, Sanjar M. & Quine, Brendan M., 2018. "A rational approximation of the Dawson’s integral for efficient computation of the complex error function," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 526-543.
    2. Abrarov, S.M. & Quine, B.M., 2015. "Sampling by incomplete cosine expansion of the sinc function: Application to the Voigt/complex error function," Applied Mathematics and Computation, Elsevier, vol. 258(C), pages 425-435.
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    1. S. M. Abrarov & B. M. Quine & R. Siddiqui & R. K. Jagpal, 2019. "A Single-Domain Implementation of the Voigt/Complex Error Function by Vectorized Interpolation," Earth Science Research, Canadian Center of Science and Education, vol. 8(2), pages 1-52, February.
    2. Abrarov, Sanjar M. & Quine, Brendan M., 2018. "A rational approximation of the Dawson’s integral for efficient computation of the complex error function," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 526-543.

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