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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Georgiev, G.N. Georgieva-Grosse, M.N. |
| Copyright Year | 2010 |
| Description | Author affiliation: Faculty of Mathematics and Informatics, University of Veliko Tirnovo “St. St. Cyril and Methodius”, BG-5000 Veliko Tirnovo, Bulgaria (Georgiev, G.N.) || 2, Tcherny vrikh Str., BG-5138 Polikraishte, Bulgaria (Georgieva-Grosse, M.N.) |
| Abstract | The principles of electrodynamic analysis of the characteristics of the ferrite control components (nonreciprocal digital phase shifters, cut-off switches and isolators) which use circular waveguides, entirely filled with azimuthally magnetized ferrite or containing a coaxial disc- or ring-shaped area of the medium alluded to and a dielectric one, surrounding it or taking up its hollow, resp., and work in the normal TE01 mode, are enunciated: i) employment of complex confluent hypergeometric and eventually also of real cylindrical functions; ii) indispensability of inventing of numerical methods for evaluation of some special functions of the mathematical physics: the Euler gamma function, its logarithmic derivative and the confluent functions in the complex field, as well as of the cylindrical ones in the real domain; iii) elaboration of techniques for numerical solution of complicated transcendental equations, involving complex confluent and possibly real cylindrical functions, too; iv) introduction of a new class of real numbers, called L numbers, connected with the purely imaginary roots of the equations mentioned; v) development of numerical schemes for computation of the phase curves of geometries regarded and of iterative procedures for finding the differential phase shift provided by them; vi) laying down of criteria for the operation of configurations as phase shifters, magnetically controlled cut-off switches and isolators. Each of the maxims pointed out is elucidated in detail. |
| Starting Page | 1 |
| Ending Page | 6 |
| File Size | 267952 |
| Page Count | 6 |
| File Format | |
| ISBN | 9781424456130 |
| ISSN | 21555753 |
| e-ISBN | 9781424456147 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2010-06-16 |
| Publisher Place | Lithuania |
| Access Restriction | Subscribed |
| Rights Holder | Geozondas Co. |
| Subject Keyword | Boundary value problems numerical methods transcendental equations Electromagnetic waveguides ferrite control components Dielectrics Equations Physics electromagnetic modelling computational electromagnetics L numbers Ferrites Geometry propagation Mathematical model circular waveguides special functions |
| Content Type | Text |
| Resource Type | Article |
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