Eigenvalue analysis of electromagnetic wave propagation for circular domain with and without the presence of the crack is done. Combination of triangular and quadrilateral edge elements are used to discretize the circular domain. Conversion algorithm is used to convert the nodal element data to edge element data. We compared the results of both the domains obtained with edge element along with the analytical and nodal element values. Convergence study is also performed to know the effectiveness of both lower and higher order edge elements for normal and cracked circular domains. For the cracked circular domain, nodal elements fail to capture the singular eigenvalue which is well captured by the edge element.