Complex Frequencies Eigenvalue Problem of Laser Based on Quantum Wire with Two Graphene Strips

The H-polarized modes of the laser, which consists of a circular cylindrical quantum wire and two graphene strips inside it are considered. The active material of the wire has complex-valued refractive index. We seek the pairs of the frequency and material gain which satisfy the threshold conditions. To solve the corresponding boundary-value problem we use the method of integral equations.