Abstract
A power flow equation describing the power flow of electromagnetic waves in a real multimode waveguide represented by a linear multichannel trasmission system exhibiting an attenuation, dispersion, and an interchannel interaction is solved in three iterative ways. In the case of constant attenuation and constant propagation velocities in all channels and for the convolution interchannel interaction, a closed analytical solution of the problem is presented. Interesting forms of the solution, transfer function, and impulse response of the system which enable us to separate and compare the attenuation, dispersion, and coupling effects independently of each other are derived. The transfer function, the impulse response, and excitation conditions for their measurements are further discussed. Relations which make it possible to compare different experimental data obtained under specific excitation conditions in various laboratories are determined. Finally, a linear system with memory in time is studied and it is shown that the real multimode waveguide as a linear multichannel transmission system can be considered as a general linear system with memory in space.
Similar content being viewed by others
References
Marcuse D.: Bell Syst. Techn. J.51 (1972) 229.
Vacek R.: Opt. Commun.38 (1981) 173.
Papežová S.: Transmission Characteristics of Optical Fibres (PhD Thesis), Faculty of Electro Engineering of the Czech Technical University, Prague, 1984 (in Czech).
Vacek R.: J. Electromagn. Waves and Appl.3 (1989) 209.
Whittaker E. T. and Watson G. N.: A Course of Modern Analysis, Cambridge University Press, Cambridge, 1958.
Karásek M.: Signal Dispersion in Optical Fibres (Doctoral Thesis), Inst. of Radio Engineering and Electronics, Czechoslovak Acad. Sci., Prague, 1989 (in Czech).
Santer E. G. and Gran G. K.: Electron. Lett.16 (1980) 748.
Vacek R.:in Abstracts of Progr. in Electromagn. Res. Symp. — PIERS'94, 11–15 July 1994, Noordwijk, The Netherlands, p. 63; Proc. of the PIERS'94, p. 249.
Solimeno S., Crosignani B., and DiPorto P.: Guiding, Diffraction, and Confinement of Optical Radiation, Academic Press, Orlando, 1986.
Ishimaru A.: Wave Propagation and Scattering in Random Media, Academic Press, New York, 1978.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Vacek, R. Electromagnetic waves propagation in real multimode waveguide structures. Czech J Phys 46, 781–791 (1996). https://doi.org/10.1007/BF01742449
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01742449