Last modified: 2015-09-30

#### Abstract

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In this research , we used the fundamentals of the finite difference time domain (FDTD) meth od to solve Maxwell's equations in the time domain . The Finite Difference Time Domain has become the most widely used for modeling and simulation tools of Electromagnetic phenomena ; this method depends on the replacement of derivatives by finite difference and it has been applied to many problems of propagation , radiation and scattering of Electromagnetic waves .The FDTD method employs a second order finite central approximation to the space and time derivatives in Maxwell’s curl equations , and giving rise to a new discrete Electromagnetism with a particular space position. These solutions and analysis of Electromagnetic waves (Microwaves) where done by using FDTD definition for an orthogonal cubic unit spatial grid whose depending on Yee unit cell.

**Key words :** Maxwell's equations , The Finite Difference Time Domain (FDTD) , wave equation , stability condition . ** **