Abstract
A short description of a rigorous electromagnetic theory based on the numerical integration of a differential system is given. It allows the study of the stop-bands of a corrugated waveguide. Dispersion curves in the first and the second-order stop-bands are computed for various periodic waveguides. A selection rule due to the symmetry of the corrugation is found. The reflection of a plane wave by the guide is examined. It is demonstrated that under peculiar circumstances, the reflection coefficient has a modulus equal to unity.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
M.L.Dakss, L.Kuhn, P.F.Heidrich, B.A.Scott: Appl. Phys. Lett.16, 513 (1970)
D.B.Ostrowsky, A.Jacques: Appl. Phys. Lett.18, 556 (1971)
H.Kogelnik, C.V.Shank: Appl. Phys. Lett.18, 152–154 (1971)
S.Wang: Wave Electron1, 31–59 (1974)
T.Tamir, S.T.Peng: Appl. Phys.14, 235–254 (1977)
A.Jacques, D.B.Ostrowsky: Opt. Commun.13, 74–77 (1975)
M.Nevière, R.Petit, M.Cadilhac: Opt. Commun.8, 113–117 (1973)
M.Nevière, P.Vincent, R.Petit, M.Cadilhac: Opt. Commun.9, 48–53 (1973)
M.Nevière, P.Vincent, R.Petit, M.Cadilhac: Opt. Commun.9, 240–245 (1973)
S.T.Peng, T.Tamir: IEEE Trans. MTT23, 123 (1975)
H.Kogelnik, C.V.Shank: J. Appl. Phys.43 2327–2335 (1972)
K.O.Hill, A.Watanabe: Appl. Opt.14, 950–961 (1975)
M.Nevière, P.Maystre, P.Vincent: J. Opt.8, 231–242 (1977)
M.Nevière, P.Vincent, R.Petit: Nouv. Rev. Opt.5, 65–77 (1974)
P.Vincent Appl. Phys.17, 239–248 (1978)
P.Yeh, A.Yariv, C.S.Hong: J. Opt. Soc. Am.67, 423–438 (1977)
E.Merzbacher:Quantum Mechanics (John Wiley, New York, London 1961)
C.Cohen-Tannoudji, B.Diu, F.Laloe:Mécanique Quantique (Hermann, Paris 1973)
P.Vincent: Thesis, Université Aix-Marseille III (1978)
C.E.Baum: The Singularity Expansion Method. InTransient Electromaanetic Fields, ed. by L.B.Felsen. Topics Appl. Phys.10 Springer, Berlin, Heidelbegg, New York 1976)
P.Vincent, M.Nevière: Opt. Acta (to be published)
A.Roger, D.Maystre: Rev. Phys. Appl.12, 1095–1103 (1977)
T.Tamir (ed.):Integrated Optics, Topics Appl. Phys.7 (Springer, Berlin, Heidelberg, New York 1975)