%0 Journal Article %A Arti Vaish and Harish Parthasarathy %D 2011 %J International Journal of Physical and Mathematical Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 51, 2011 %T A Novel System of Two Coupled Equations for the Longitudinal Components of the Electromagnetic Field in a Waveguide %U https://publications.waset.org/pdf/4089 %V 51 %X In this paper, a novel wave equation for electromagnetic waves in a medium having anisotropic permittivity has been derived with the help of Maxwell-s curl equations. The x and y components of the Maxwell-s equations are written with the permittivity () being a 3 × 3 symmetric matrix. These equations are solved for Ex , Ey, Hx, Hy in terms of Ez, Hz, and the partial derivatives. The Z components of the Maxwell-s curl are then used to arrive to the generalized Helmholtz equations for Ez and Hz. %P 514 - 517