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An Improved Accuracy Split-Step Padé Parabolic Equation for Tropospheric Radio-Wave Propagation

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Computational Science and Its Applications – ICCSA 2021 (ICCSA 2021)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 12949))

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Abstract

This paper is devoted to modeling the tropospheric electromagnetic waves propagation over irregular terrain by the higher-order finite-difference methods for the parabolic equation (PE). The proposed approach is based on the Padé rational approximations of the propagation operator, which is applied simultaneously along with longitudinal and transversal coordinates. At the same time, it is still possible to model the inhomogeneous tropospheric refractive index. Discrete dispersion analysis of the proposed scheme is carried out. A comparison with the other finite-difference methods for solving the parabolic equation and the split-step Fourier (SSF) method is given. It is shown that the proposed method allows using a more sparse computational grid than the existing finite-difference methods. This in turn results in more fast computations.

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Acknowledgements

This study was supported by the Russian Science Foundation grant No. 21-71-00039.

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Authors and Affiliations

  1. St. Petersburg Federal Research Center of the Russian Academy of Sciences, 14-th Linia, V.I., No. 39, Saint Petersburg, 199178, Russia

    Mikhail S. Lytaev

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  1. Mikhail S. Lytaev
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Editor information

Editors and Affiliations

  1. University of Perugia, Perugia, Italy

    Osvaldo Gervasi

  2. University of Basilicata, Potenza, Potenza, Italy

    Beniamino Murgante

  3. Covenant University, Ota, Nigeria

    Sanjay Misra

  4. University of Cagliari, Cagliari, Italy

    Chiara Garau

  5. University of Cagliari, Cagliari, Italy

    Ivan Blečić

  6. Monash University, Clayton, VIC, Australia

    David Taniar

  7. Kyushu Sangyo University, Fukuoka, Japan

    Bernady O. Apduhan

  8. University of Minho, Braga, Portugal

    Ana Maria A. C. Rocha

  9. Polytechnic University of Bari, Bari, Italy

    Eufemia Tarantino

  10. Polytechnic University of Bari, Bari, Italy

    Carmelo Maria Torre

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Lytaev, M.S. (2021). An Improved Accuracy Split-Step Padé Parabolic Equation for Tropospheric Radio-Wave Propagation. In: Gervasi, O., et al. Computational Science and Its Applications – ICCSA 2021. ICCSA 2021. Lecture Notes in Computer Science(), vol 12949. Springer, Cham. https://doi.org/10.1007/978-3-030-86653-2_31

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  • DOI: https://doi.org/10.1007/978-3-030-86653-2_31

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-86652-5

  • Online ISBN: 978-3-030-86653-2

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