We analyse the diffraction of a harmonic plane wave incident normally on the edge of a perfectly conducting half-plane S immersed in a bi-isotropic medium. This 2D-diffraction problem is essentially of scalar nature and we first discuss the 2D-solutions of Maxwell's equations in a bi-isotropic medium. Then, using a Bateman's theorem to get the diffracted components of the electromagnetic field, we prove that the total field (incident, reflected, diffracted) is a solution of the 2D-Helmholtz equation continuous outside S and such as the tangential components of the electric field and the normal derivative of the tangential components of the magnetic field are zero on S.
AsgharS. and LakhtakiaA., Int. J. Appl. Electromagn. Mater. 5 (1994), 181.
4.
BatemanH., Partial Differential Equations of Mathematical Physics, University Press, Cambridge, 1959, Chap. 11.
5.
StrattonJ.A., Electromagnetic Theory, McGraw-Hill, New York, 1941, p. 484.
6.
HillionP., Wave Motion23 (1996), 165.
7.
BornM. and WolfE., Principles of Optics, Pergamon Press, Oxford, 1965, Chap. 11.
8.
HillionP., Pure Appl. Opt. 4 (1995), 811.
9.
SeniorT.B.A., Radio Sci10 (1975), 911.
10.
CluchatT., Etude de validité de la condition d'impédance, Doctoral Thesis, University of Bordeaux, 1992.
11.
BernardJ.M.L., Sur les solutions explicites des problèmes de diffraction par un dièdre imparfaitement conducteur pour les équations de Maxwell, Doctoral Thesis, University of Paris-Orsay, 1995.
