Parabolic equation method for electromagnetic guiding structures

International Conference on Transparent Optical Networks

Volumn 2001-January, Issue , 2001, Pages 42-46

  Popov, A V ^a   Kurokhtin, A N ^a  

^a PUSHKOV INSTITUTE OF TERRESTRIAL MAGNETISM   (Russian Federation)

Author keywords

Computational efficiency; Computational modeling; Electromagnetic fields; Electromagnetic scattering; Electromagnetic waveguides; Optical propagation; Optical waveguides; Partial differential equations; Radio communication; Radiowave propagation

Indexed keywords

COMPUTATIONAL EFFICIENCY; COMPUTATIONAL ELECTROMAGNETICS; EFFICIENCY; ELECTROMAGNETIC FIELDS; ELECTROMAGNETIC WAVE PROPAGATION; LIGHT PROPAGATION; OPTICAL COMMUNICATION; OPTICAL WAVEGUIDES; PARTIAL DIFFERENTIAL EQUATIONS; RADIO COMMUNICATION; RADIO TRANSMISSION; WAVE EQUATIONS; WAVEGUIDES;

APPLIED ELECTROMAGNETICS; COMPUTATIONAL MODEL; ELECTROMAGNETIC SCATTERING; ELECTROMAGNETIC WAVEGUIDES; FRESNEL MICROLENSE; IMAGING PERFORMANCE; PARABOLIC EQUATION METHOD; PARABOLIC WAVE EQUATION;

TRANSPARENT OPTICAL NETWORKS;

EID: 70449400985     PISSN: None     EISSN: 21627339     Source Type: Conference Proceeding    
DOI: 10.1109/ICTON.2001.934714     Document Type: Conference Paper

References (19)

1. M.A.Leontovich, V.A.Fock. Solution of the problem of EM wave propagation along the earth surface by the parabolic equation method, J. Phys., USSR, v. 10, No 1, pp. 13-23, 1946.
2. V.A.Fock. Electromagnetic Diffraction and Propagation Problems, Internat. Series of Monographs on Electromagnetic Waves, v. 1, Pergamon Press, Oxford, 1965.
3. G.D.Malyuzhinets. Progress in understanding diffraction phenomena (in Russian), Sov. Phys. Uspekhi, V. 69 No 2, pp. 321-334, 1959.
4. V.M.Babich, V.S.Buldyrev. Short-Wavelength Diffraction Theory: Asymptotic Methods, Springer Series on Wave Phenomena, v. 4, Springer-Verlag, Berlin, 1991.
5. L.A.Weinstein. Open resonators and open waveguides (in Russian), Soviet Radio, Moscow, 1966.
6. G.D.Malyuzhinets, A.V.Popov, Yu.N.Cherkashin. On the development of a numerical method in diffraction theory (in Russian), in Proceedings of the 3rd Symposium on Diffraction, pp.176-178, Nauka, Moscow, 1964.
7. A.V.Popov. Numerical solution of the wedge diffraction problem by the transversal diffusion method, Sov. Phys. Acoust., v. 15, No 2, pp.226-233, 1969.
8. A.V.Popov. Numerical solution of the parabolic equation of diffraction theory by the finite difference method (in Russian). J. Comp. Math. and Math. Phys., v. 8, No 5, pp.1140-1144, 1968.
9. F.D.Tappert. The parabolic approximation method, in Lecture Notes in Physics, v. 70: Wave Propagation and Underwater Acoustics, pp. 224-287, Springer Verlag, New York, 1977.
10. M.Levy. Parabolic Equation Methods for Electromagnetic Wave Propagation, IEE Electromagnetic Waves Series, v. 45, London, 2000.
11. A.V. Popov, N.Y. Zhu. Modeling radio wave propagation in tunnels with a vectorial parabolic equation, IEEE Trans. AP, v. 48, No.9, pp. 1403-1412, 2000.
12. V.A.Baranov, A.V.Popov. Adiabatic modes of curved EM waveguides of arbitrary cross section, in: 13th Annual Review of Progress in Applied Computational Electromagnetics, pp.1036-1044, Monterey, CA, 1997.
13. A.V.Popov, Ning Yan Zhu. Curved oversized EM waveguides: adiabatic modes and parabolic equation, Day on Diffraction 99, St. Petersburg, pp. 220-231. 1999.
14. A.A.Samarskij. Introduction into Finite Difference Methods (in Russian), Nauka, Moscow, 1971.
15. V.A.Baskakov, A.V.Popov. Implementation of transparent boundaries for numerical solution of the Schroedinger equation, Wave Motion, v. 14, No 1, pp. 123-128, 1991.
16. S.V.Marcus. A generalized impedance method for application of the parabolic approximation to underwater acoustics, J. Acoust. Soc. Am., v. 89, pp. 391-398, 1991.
17. A.V.Popov. Accurate modeling of transparent boundaries in quasi-optics, Radio Science, v. 31, No 6, pp. 1781-1790, 1996.
18. Yu.Kopylov, A.V.Popov, A.V.Vinogradov. Application of the parabolic wave equation to X-ray diffraction optics, Opt. Commun., v. 118, pp. 619-636, 1995.
19. Yu.Kopylov, A.V.Popov, A.V.Vinogradov. Diffraction phenomena inside thick Fresnel zone plates, Radio Science, v. 31, No 6, pp.1815-1822 (1996).