Abstract
The authors review the recently presented Fredholm integral method for calculating the scattering of electromagnetic waves by dielectric spheroids and ellipsoids. The application to oblate spheroidal and ellipsoidal raindrops is given and the important properties of numerical stability and guaranteed convergence is discussed in relation to other scattering methods. Using a recent more general model of a rain filled medium in which a stochastic distribution of canting angles is assumed for the raindrops they provide results for terrestrial and satellite communication systems which they compare with experimental results, and with results obtained using the more usual deterministic model. Finally the conclusions of a study of multiple scattering in rain filled media are given and conditions presented which show that for frequencies up to 100 GHz as investigated, multiple scattering is negligible.
Analyse
Les auteurs passent en revue la méthode de l’intégrale de Fredholm récemment présentée pour calculer la diffusion des ondes électromagnétiques par des sphéroïdes et des ellipsoïdes diélectriques. Ils appliquent cette méthode à des gouttes d’eau oblates ou ellipsoïdales et ils comparent avec d’autres méthodes de diffusion les propriétés importantes de stabilité numérique et de convergence garantie. En utilisant un modèle récent plus général d’un milieu pluvieux pour lequel la distribution stochastique des angles d’inclinaison des gouttes est admise, ils obtiennent des résultats pour les systèmes de communication terrestre ou par satellite qu’ils comparent avec les résultats expérimentaux et ceux obtenus en utilisant un modèle déterministe plus classique. Finalement, ils donnent les conclusions d’une étude de diffusion multiple dans un milieu pluvieux et présentent les conditions qui montrent que pour les fréquences allant jusqu’à 100 GHz, la diffusion multiple est négligeable.
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References
Oguchi (T.). Rain depolarization studies at centimeter and millimeter wavelength: theory and measurement.J. Radio Res. Lab., Jap. (1975),22, n∘ 109, pp. 165–211.
Saunders (M. J.). Cross polarization at 18 and 30 GHz due to rain.I.E.E.E. Trans. AP, U. S. A. (mars 1971),19, n∘ 2, pp. 273–277.
Brussaard (G.). A meteorological model for rain induced cross polarization.I.E.E.E. Trans. AP, U. S. A. (jan. 1976),24, n∘ 1, pp. 5–11.
Oguchi (T.),Hosoya (Y.). Scattering properties of oblate raindrop and cross polarisation of radio waves due to rain. P. II.J. Radio Res. Lab., Jap. (1974),21, n∘ 105, pp. 191–259.
Morrison (J. A.),Cross (M. J.). Scattering of a plane of electromagnetic wave by axisymmetric raindrops.Bell Syst. tech. J., U. S. A. (juil. 1974),53, n∘ 6, pp. 995–1 019.
Oguchi (T.). Scattering properties of Pruppacher and Pitter from raindrops and cross polarization due to rain: calculations.Radio Sci., U. S. A. (jan. 1977),12, n∘ 1, pp. 41–51.
Pruppacher (H. R.),Pitter (R. L.). A semiempirical determination of the shape of cloud and raindrops.J. Atmosph. Sci., Fr. (1971),28, pp. 86–94.
Marshall (J. S.),McPalmer (W.). The distribution of raindrops with size.J. Meteor. (1948),5, pp. 165–166.
Waterman (P. C.). Matrix formulation of electromagnetic scattering.Proc. I.E.E.E., U. S. A. (août 1965),53, n∘ 8, pp. 805–812.
Barber (P. W.). Resonance electromagnetic absorption by nonspherical dielectric objects.I.E.E.E. Trans. MTT, U. S. A. (1977),25, pp. 373–381.
Van de Hulst (H. G.). Light scattering by small particles.Wiley, New York (1957).
Evans (B. G.),Thompson (P. T.). Use of cancellation techniques in the measurement of atmospheric cross polarisation.Electron. Letters, G. B. (sep. 1973),9, n∘ 19, pp. 447–448.
Uzunoglu (N.),Evans (B. G.),Holt (A. R.). Evaluation of the scattering of an electromagnetic wave from precipitation particles by use of the Fredholm integral equation.Electron. Letters, G. B. (juin 1976),12, n∘ 12, pp. 312–313.
Holt (A. R.), Uzunoglu (N.), Evans (B. G.). An integral equation solution to the scattering of electromagnetic radiation by dielectric spheroids and ellipsoids to appear inI.E.E.E. Trans. AP, U. S. A.
Uzunoglu (N.),Holt (A. R.). The scattering of electromagnetic radiation from dielectric scatterers.J. Phys. A, U. S. A. (1977),10, pp. 413–424.
Nelson (A.),Eyges (L.). Electromagnetic scattering from dielectric rods of arbitrary cross-section.J. Opt. Soc. Amer., U. S. A. (1976),66, pp. 254–259.
Uzunoglu (N.),Evans (B. G.),Holt (A. R.). Scattering of electromagnetic radiation by precipitation particles and propagation characteristics of terrestrial and space communication systems.Proc. Instn. electr. Engrs, G. B. (mai 1977),124, n∘ 5, pp. 417–424.
Dilworth (I. J.),Evans (B. G.). Preliminary results of linear/circular depolarisation on a 18 km, 11.6 GHz radio link.Electron. Letters, G. B. (11 nov. 1976),12, n∘ 23, pp. 618–620.
Uzunoglu (N.). Ph. D. Thesis, University of Essex (1976).
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Evans, B.G., Uzunoglu, N.K. & Holt, A.R. Two new approaches to the calculation of rain induced attenuation and cross polarization. Ann. Télécommunic. 32, 398–403 (1977). https://doi.org/10.1007/BF03003485
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DOI: https://doi.org/10.1007/BF03003485