N. A. Novoselova - Ph.D. (Eng.), Associate Professor of Department of Physics and Technology of Optical Communication, Nizhny Novgorod State Technical University n.a. R.E. Alekseev E-mail: physics@nntu.nnov.ru S. B. Raevskij - Dr.Sc. (Eng.), Professor of Department of Physics and Technology of Optical Communication, Nizhny Novgorod State Technical University n.a. R.E. Alekseev; Honored Scientist of RF V. V. Shcherbakov - Ph.D. (Eng.), Associate Professor of Department of Physics and Technology of Optical Communication, Nizhny Novgorod State Technical University n.a. R.E. Alekseev

Complex resonance (CR) is detected in any range of existence of complex waves, provided their pair excitation in inhomogeneous guiding structures matched at the ends. Mathematically, this structure is described by nonself-adjoint boundary value problem. Because the condition of pair excitation of complex waves is provided by the source, it can be argued that the complex resonance is realized at obligatory presence of the latter. In reality, the matched condition is running approximately and has a frequency dependence, resulting in the characteristics of complex resonance differ somewhat from the ideal ones. With good matching and with the exception of the frequency dependence of the excitation device the structure with complex resonance has a frequency response that is close to rectangular, which makes it very promising for use as a bandpass filter. Mathematically, the existence of CR in the whole range of existence of complex waves is explained by the degeneracy (in this range) of a matrix of the characteristic equation of the oscillatory system caused by adjointness of boundary value problem describing the complex resonance. As for the occurrence of CR pair excitement of complex waves is required, this resonance cannot exist without a source, i.e. it is \"attached\" to the last one.

 

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