On application of non-local boundary conditions for tropospheric radio wave propagation problems
Abstract
In this research we are concerned with the method of non-local transparent boundary conditions for the numerical modeling of radio wave propagation near the Earth's surface. A modification of this approach to wide-angle parabolic equation is presented. The considered method does not require manual selection of the artificial parameters depending on the initial data. A comparison analysis with split-step Fourier method is given.
About the Authors
S. Vavilov
St.Petersburg State University
Russian Federation
Russian Federation
M. Lytaev
The Bonch-Bruevich Saint-Petersburg State University of Telecommunication
Russian Federation
Russian Federation
References
1. Zhang P., Bai L., Wu Z., Guo L. Applying the Parabolic Equation to Tropospheric Groundwave Propagation: A review of recent achievements and significant milestones // IEEE Antennas and Propagation Magazine. 2016. Vol. 58. Iss. 3. PP. 31–44.
2. Levy M. Parabolic equation methods for electromagnetic wave propagation. London. IET. 2000.
3. Светличный В.А., Смирнова О.В. Применение геоинформационных систем для оперативного прогнозирования радиолокационной наблюдаемости объектов // Информация и космос. 2014. № 4. С. 73–76.
4. Ozgun O., Apaydin G., Kuzuoglu M., Sevgi L. PETOOL: MATLAB-based one-way and two-way split-step parabolic equation tool for radiowave propagation over variable terrain // Computer Physics Communications. 2011. Vol. 182. Iss. 12. PP. 2638–2654.
5. Feshchenko R., Popov A. Exact transparent boundary conditions for the parabolic wave equations with linear and quadratic potentials // Wave Motion. 2017. Vol. 68. PP. 202–209.
6. Ehrhardt M., Mickens R. E. Solutions to the discrete Airy equation: Application to parabolic equation calculations // Journal of computational and applied mathematics. 2004. Vol. 172. Iss. 1. PP. 183–206.
7. Dominguez V., Graham I., Smyshlyaev V. Stability and error estimates for Filon–Clenshaw–Curtis rules for highly oscillatory integrals // IMA Journal of Numerical Analysis. 2011. Vol. 31. Iss. 4. PP. 1253–1280.
8. Lentz W. Generating Bessel functions in Mie scattering calculations using continued fractions // Applied Optics. 1976. Vol. 15. Iss. 3. С. 668–671.
9. Иванов В.К., Шаляпин В.Н., Левадный Ю.В. Определение высоты волновода испарения по стандартным метеорологическим данным // Известия РАН. Серия «Физика атмосферы и океана». 2007. Т. 43. №. 1. С. 42–51.
10. Fountoulakis V., Earls C. Duct heights inferred from radar sea clutter using proper orthogonal bases // Radio Science. 2016. Vol. 51. Iss. 10. PP. 1614–1626.
Review
For citations:
Vavilov S., Lytaev M. On application of non-local boundary conditions for tropospheric radio wave propagation problems. Proceedings of Telecommunication Universities. 2017;3(1):13-20. (In Russ.)
Views:
473
Email this article 