Phase Shifter Operation of the Azimuthally Magnetized Coaxial Ferrite Waveguide

• Authors: M. Georgieva-Grosse , G. Georgiev
• Languages of publication: EN

Abstracts

EN

The terms for operation of the coaxial waveguide, entirely filled with azimuthally magnetized latching ferrite, as a digital nonreciprocal phase shifter for the normal TE_{01} 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 L_2(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.

Keywords

EN

02.60.Lj; 02.90.+p; 41.20.-q; 41.20.Jb; 85.70.Ge

Discipline

• 41.20.Jb: Electromagnetic wave propagation; radiowave propagation(for light propagation, see 42.25.Bs; for electromagnetic waves in plasma, see 52.35.Hr; for atmospheric, ionospheric, and magnetospheric propagation, see 92.60.Ta, 94.20.Bb, and 94.30.Tz, respectively; see also 94.05.Pt Wave/wave, wave/particle interactions, in space plasma physics)
• 85.70.Ge: Ferrite and garnet devices
• 41.20.-q: Applied classical electromagnetism(for submillimeter wave, microwave, and radiowave instruments and equipment, see 07.57.-c)
• 02.60.Lj: Ordinary and partial differential equations; boundary value problems
• 02.90.+p: Other topics in mathematical methods in physics (restricted to new topics in section 02)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2012
• Volume: 122
• Issue: 1
• Pages: 63-70

Dates

published

2012-07

received

2012-05-05

Contributors

author

M. Georgieva-Grosse

• 2, Tcherny Vrikh Str., BG-5138 Polikraishte, Bulgaria

author

G. Georgiev

• Faculty of Mathematics and Informatics, University of Veliko Tirnovo "St. St. Cyril and Methodius" BG-5000 Veliko Tirnovo, Bulgaria

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Identifiers

DOI

10.12693/APhysPolA.122.63