The course aims at giving the students the basics of modern photonics and consider the basic practical tasks in this area. The course begins with a study of the theory of metallic and dielectric waveguides and optical resonators. The physical effects underlying the control of electromagnetic radiation are examined in detail. We will study methods that allow us to analyze the capture of light in resonators and its propagation in the simplest waveguide systems. Moreover, the course presents the basics of the theory of photonic crystals, coupled modes approach and scattering theory including Mie-task.