This book is about designing terahertz antenna using graphene based artificial magnetic conductor (AMC). The book consists of six chapters Chapter one: presents an introduction to the graphene material properties and applications, terahertz technology and artificial magnetic conductor. Chapter two: the theory of graphene material, artificial magnetic conductor graphene physics and manufacturing and its model are present. Chapter three: this chapter contains a graphene modeling in CST. Chapter four: new types of graphene-based AMC with the bowtie antenna are designed and simulated using CST STUDIO. A toothed uniform and zigzag log periodic graphene-based AMC antennas are designed and simulated using CST STUDIO. Chapter six: contains conclusions and suggestions for the future works.