Analyse
Le but de ce travail est d’étendre aux coordonnées spatiales complexes des méthodes asymptotiques déjà rencontrées dans l’optique géométrique et dans la théorie géométrique de la diffraction, mettant en évidence leurs limites et avantages. Après un bref aperçu de cette nouvelle méthode des rayons complexes, on discute deux problèmes : la représentation du champ produit par une source primaire d’antenne à réflecteur à l’aide de sources ou rayons complexes et la diffraction par un réflecteur bidimensionnel, du champ produit par une source rectiligne.
Abstract
The purpose of this paper is to extend to complex space the well known asymptotic techniques of geometrical optics and geometrical theory of diffraction, pointing out advantages and desadvantages. After a review of the various formulations of complex ray optics, two subjects are considered in detail : the representation of the field generated by the feed of a reflector antenna in terms of complex sources or rays and the scattering by a bidimensional reflector illuminated by a line source.
Bibliographie
*** Advanced satellite communication systems using the 20–30 GHz band. ESA Rep. SP-138.Proceedings of a Symposium held in Genova, Italy (14–16 dec. 1977).
Semplak (R. A.). 100 GHz measurements on a multiple-beam offset antenna.Bell System tech. J., USA (1977), pp. 385–398.
Goldsmith (P. F.). Quasioptics in millimiter wave systems. 12thEuropean Microwave Conference, Helsinski (13–17 sept. 1982), pp. 16–24.
Pontoppidan (K.). gtd applied to reflector antenna analysis, in «Theoretical methods for determining the interaction of electromagnetic waves with structures», ed.J. K. Skwirzinski, Sijthof and Noordhof, Rockville, Maryland USA (1981), pp. 595–618.
Galindo-Israël (V.),Mittra (R.). A new series representation for the radiation integral with application to reflector antennas.IEEE Trans. AP, USA (sept. 1977),25, pp. 631–641.
Bucci (O. M.),Franceschetti (G.),Elia (G. d’). Fast analysis of large antennas. A new computational phylosophy.IEEE Trans. AP, USA (1980),28, pp. 306–310.
Bucci (O. M.),Franceschetti (G.),Pierri (R.). Reflector antenna fields. An exact aperture-like approach.IEEE Trans. AP, USA (1981),29, pp. 580–586.
Choudary (S.),Felsen (L. B.). Asymptotic theory for inhomogeneous waves.IEEE Trans. AP, USA (1973),21, pp. 827–842.
Keller (J. B.),Streifer (W.). Complex rays with application to Gaussian beams.J. opt. Soc. American (1971),61, pp. 40–43.
Eeinziger (P. D.),Felsen (L. B.). Evanescent waves and complex rays.IEEE Trans. AP, USA (1982),30, pp. 594–605.
Ghione (G.), Montrosset (I.). Asymptotic techniques for Gaussian and Gaussian-like aperture distributions : a comparison. 7thColloquium on microwave communications, Budapest (6–10 sept. 1982), pp. 295–298.
Deschamps (G. A.). Gaussian beam as a bundle of complex rays.Electron. Lett., GB (nov. 1971),7, pp. 684–685.
Jones (D. S.). The theory of electromagnetism.The Macmillan Co., New York (1974).
Ludwig (A. C.). Calculation of scattered patterns form asymmetrical reflectors.JPL Tech. Rep., 32–1430 (feb. 1970).
Hasselmann (F. J. V.),Felsen (L. B.). Asymptotic analysis of parabolic reflector antennas.IEEE Trans. AP, USA (jul. 1982),30, pp. 677–685.
Ludwig (A. C.). The definition of cross-polarization.IEEE Trans. AP, USA (Jan. 1973),21, pp. 116–119.
Albertsen (N. C.), Pontoppidan (K.). Subreflector analysis by complex rays.IEEE AP-S Symposium Digest, Albuquerque (1982), pp. 608–611.
Van Blaricum (M. L.),Mittra (R.). A technique for extracting the poles and residues of a system directly from its transient response.IEEE Trans. AP, USA (nov. 1975),23, pp. 777–781.
Wang (W. D.),Deschamps (G. A.). Application of complex ray tracing to scattering problems.Proc. IEEE, USA (1974),62, pp. 1541–1551.
Lee (S. W.). Geometrical theory of diffraction in electromagnetics : vol. 1 : Geometrical optics.Interaction, Note 364 (1978).
Felsen (L. B.),Marcuvitz (N.). Radiation and scattering of waves.Prentice Hall, Englewood Cliffs, New Jersey (1973).
Kouyoumjian (R. G.), Pathak (P. H.). A uniform geometrical theory of diffraction for an edge in a perfectly conducting surface.Proc. IEEE, USA (1974), pp. 1448–1461.
Bowman (J. J.),Senior (T. B. A.),Uslenghi (P. L. E.). Electromagnetic and acoustic scattering by simple shapes. Chap. 8, «The Half Plane», by J. J. Bowman and T. B. A. Senior,North Holland Publ. Co., Amsterdam (1969), pp. 308–345.
Abramowitz (M.),Stegun (I. A.). Handbook of mathematical functions.Dover Pub. Inc., New York (1965).
Felsen (L. B.). Evanescent waves.J. opt. Soc. American (1976),66, pp. 751–760.
Bertoni (H. L.), Green (A. C.), Felsen (L. B.). Shadowing of an inhomogeneous plane wave by an edge.J. opt. Soc. american (1978), pp. 983–989.
Green (A. C.),Bertoni (H. L.),Felsen (L. B.). Properties of the shadow cast by a half-screen when illuminated by a Gaussian beam.J. opt. Soc. american (1979),69, pp. 1503–1508.
Author information
Authors and Affiliations
Additional information
Ce travail a pu être réalisé grâce à l’appui, d’une part du Consiglio Nazionale delle Ricerche et d’autre part du CSI-Piémonté.
Rights and permissions
About this article
Cite this article
Montrosset, I., Orta, R. La méthode des rayons complexes. Ann. Télécommun. 38, 135–144 (1983). https://doi.org/10.1007/BF02995899
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02995899
Mots clés
- Antenne hyperfréquence
- Approximation asympto-tique
- Tracé rayon
- Fonction complexe
- Onde évanescente
- Champ électromagnétique
- Antenne ouverture
- Source illumination
- Antenne réflecteur
- Diffraction onde
- Méthode géométrique
- Coordonnée complexe