Phase Shifter Operation of the Azimuthally Magnetized Coaxial Ferrite Waveguide |
| M.N. Georgieva-Grossea and G.N. Georgievb
a2, Tcherny Vrikh Str., BG-5138 Polikraishte, Bulgaria bFaculty of Mathematics and Informatics, University of Veliko Tirnovo "St. St. Cyril and Methodius", BG-5000 Veliko Tirnovo, Bulgaria |
| Received: May 5, 2012 |
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| The terms for operation of the coaxial waveguide, entirely filled with azi-muthally magnetized latching ferrite, as a digital nonreciprocal phase shifter for the normal TE01 mode, are found. They are classified as physical, mathematical and functional ones. The physical prerequisites are drawn from the phase curves of the structure and specify the boundaries of the interval in which it produces differential phase shift for a given numerical equivalent of the modulus of off-diagonal ferrite permeability tensor element. The mathematical condition brings the parameters of configuration together with certain roots of its characteristic equation, derived in terms of complex Kummer and Tricomi confluent hypergeometric functions and with the related to them positive real L2(c,ρ,n) numbers (c=3, 0<ρ<1, n=1). The functional criteria determine the borders of the domain of phase shifter operation of the geometry. These are functions, defined for a fixed central conductor thickness which express in normalized form: the impact of the guide radius on the phase shift at the cut-off frequencies and at the envelopes, denoting the termination of the phase curves for negative ferrite magnetization from the side of higher frequencies. The same are reckoned, employing iterative methods, consisting in a repeated numerical solution of the equation mentioned, followed by a computation of the guide radius and phase constant of the wave and are plotted graphically. The influence of the parameters of transmission line on the area referred to is analyzed. |
| DOI: 10.12693/APhysPolA.122.63 PACS numbers: 02.60.Lj, 02.90.+p, 41.20.-q, 41.20.Jb, 85.70.Ge |