Premium
Geometrical optical approach for electromagnetic wave propagation in rectangular mine tunnels
Author(s) -
Mahmoud Samir F.,
Wait James R.
Publication year - 1974
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/rs009i012p01147
Subject(s) - modal , imperfect , wavelength , waveguide , electromagnetic radiation , geometrical optics , electromagnetic field , field (mathematics) , modal analysis , coupling (piping) , optics , physics , acoustics , mathematics , engineering , materials science , mechanical engineering , philosophy , linguistics , quantum mechanics , polymer chemistry , pure mathematics , vibration
Electromagnetic wave propagation inside an empty rectangular mine tunnel with imperfect walls is considered. The modal expansion of the fields is complicated by the coupling of the basic modes by the imperfect walls. To avoid this difficulty, and in view of the large guide dimensions relative to the free space wavelength, a geometrical ray approach is proposed. To provide a theoretical foundation for the method, we first consider an idealized waveguide model with two perfectly reflecting side walls. The modal field expansion for this prototype model is fully analyzed to provide a satisfactory comparison between the modal and the geometrical ray sums. The proposed general ray method is then applied to the rectangular waveguide when all four walls are imperfectly conducting. Finally, the influence of wall roughness is considered by a relatively simple method.