摘要:

A necessity of introducing into the spectral analysis the concept of non–degenerated (degenerated) Morse critical points due to which one can completely explain an effect of intertype oscillations is substantiated. To this end the Morse points and the arising intertype oscillations are studied for a cavity open resonator and the one study inclusions with dielectric. The of the Morse points of the open resonator dispersion equation leads to fundamental changes of ideas concerning the processes in electrodynamics including the classification of fundamental frequencies.

ISSN:0272-6343    

DOI:10.1080/02726349308908348

出版商:Taylor & Francis Group    

年代:1993

数据来源: Taylor

摘要:

Fundamental results of the theory of local excitation of one-dimensionally periodic structures are presented. The theory is based on a study of dispersion properties of gratings as open periodic waveguides. Figures illustrate new effects and phenomena detected on carrying out numerical experiments.

ISSN:0272-6343    

DOI:10.1080/02726349308908349

出版商:Taylor & Francis Group    

年代:1993

数据来源: Taylor

摘要:

A computing model is constructed describing spectrum and energy characteristics of two-dimensional Open Resonators (OR) that contain various types of inhomo-geneities (dielectric, ideally conducting, resonance, etc.). This model is based on the spectral theory of analytical operator functions in the Hilbert space and on the procedure of quasi-inversion of the operators corresponding to the initial boundary value problems. A number of numerical experiments were carried out, using a computer to study the physical features of spectrum characteristics of inhomogeneous OR, aimed at their implementation in devices of the mm wave range. Wavelengths, geometrical parameters of OR mirrors and their mutual arrangements, and inhomogeneity dimensions were varied in a broad range. In particular, the wave dimensions of the inhomogeneous OR were such that for their analysis the known quasi-optical OR models are inapplicable.

ISSN:0272-6343    

DOI:10.1080/02726349308908350

出版商:Taylor & Francis Group    

年代:1993

数据来源: Taylor

摘要:

Spectral and diffraction characteristics of cylindrical resonators loaded on various cylindrical or coaxial waveguides are investigated. The partial inversion method is used to solve this class of problems and to develop the corresponding numerical algorithms. It is demonstrated that the observed effects of total resonant reflection and transmission are caused by the excitation of induced oscillations close to the eigenmodes of the problem. The spectral domain solution enables us to predict the effects of complete mode transformation by open waveguide resonators (OWR). Detailed investigation of coupled eigenmodes in OWRs has determined that the phenomenon is due to the Morse critical points (MCP) of the characteristic determinant of the boundary value problem.

ISSN:0272-6343    

DOI:10.1080/02726349308908351

出版商:Taylor & Francis Group    

年代:1993

数据来源: Taylor

摘要:

A number of relationships are given in this paper which allow to connect the values of S-matrices elements of open nodes with a discrete spatial spectrum (waveguides and gratings) on various sheets of analytic continuation of a frequency parameter, to find zeroes of these elements, etc. According to it, a scheme of reconstructing frequency dependences of S-matrices by the known sets of complex eigen frequencies has been constructed. A number of simple expressions are presented due to which one can carry out an effective analysis of the resonance properties of diffraction characteristics of various modes.

ISSN:0272-6343    

DOI:10.1080/02726349308908352

出版商:Taylor & Francis Group    

年代:1993

数据来源: Taylor

摘要:

There exist many methods of analyzing electromagnetic fields scattered by thin unclosed screens of arbitrary configuration. But all these methods as a rule result in ill-conditioned matrices; that is the condition number of these matrices rapidly increases together with the matrix size. So far these methods cannot guarantee the solution with the settled accuracy.

ISSN:0272-6343    

DOI:10.1080/02726349308908353

出版商:Taylor & Francis Group    

年代:1993

数据来源: Taylor