THE LEONTOVICH BOUNDARY VALUE PROBLEM FOR THE TIME-HARMONIC MAXWELL EQUATIONS by H. Ammari, C. Latiri-Grouz and J.-C. N\'ed\'elec The limiting behavior of the unique solution to Maxwell's equations in an exterior domain with a Leontovich boundary condition as the impedance tends to zero is investigated. This is accomplished by reducing the impedance boundary value problem for the Maxwell equations to a system of three integral equations. It is shown that the Leontovich boundary condition leads to a singular perturbation problem for the Maxwell equations. A specific numerical treatment is required to achieve a sufficient accuracy. The whole paper is available as a compressed Postscript file by internet procedure FTP anonymous on host barbes.polytechnique.fr ( 129.104.4.100) in the directory pub/RI/1997 under the name ammari_latiri_nedelec_369.oct.ps.gz or by Netscape or any other www client via the CMAP www server "http://www.cmap.polytechnique.fr/"