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Boundary Value Problem
Characteristic Equation
Numerical Analysis
Phase Shift
Phase Shifter
Wave Propagation
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Effect of the dielectric filling on the phase behaviour of the circular waveguide with azimuthally magnetized ferrite toroid and dielectric cylinder
Effect of the dielectric filling on the phase behaviour of the circular waveguide with azimuthally magnetized ferrite toroid and dielectric cylinder,1
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Effect of the dielectric filling on the phase behaviour of the circular waveguide with azimuthally magnetized ferrite toroid and dielectric cylinder
(
Citations: 9
)
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Georgi Nikolov Georgiev
,
Mariana Nikolova GeorgievaGrosse
The phase characteristics of the circular waveguide, comprising an azimuthally magnetized ferrite toroid and a dielectric cylinder of relative permittivity, larger than that of the ferrite, under normal TE01 mode excitation, are figured. The analysis reveals that they are finite for both directions of magnetization, limited by the cutoff frequencies and by specific envelope lines, depending on certain positive real numbers (L numbers), related to the roots of the
characteristic equation
of the structure. The expansion of the region, occupied by dielectric and the increase of its relative permittivity entails a moving of the position and a shortening of the length of the curves mentioned (a shrinking of the areas of wave propagation), as well as a change of the sign of the differential
phase shift
provided.
Conference:
Microwave , AsiaPacific Conference  APMC
, 2009
DOI:
10.1109/APMC.2009.5384298
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Citation Context
(8)
...The circular waveguides, completely or partially filled with azimuthally magnetized ferrite that support normal n TE0 modes, are suitable for the development of various passive microwave components: phase shifters, cutoff switches and isolators with application in the electronically scanned antenna arrays [
19
]...
...Finding them, however, is a very difficult task [
17
]...
... the coaxial ferrite geometry with an axial conductor of finite thickness [3]; iii) the twolayered circular configuration whose inner area is occupied by ferrite and the outer one – by isotropic dielectric, assuming identical values of the relative permittivities of the media [1]; iv) the twolayered circular transmission line with an inner area, taken by isotropic dielectric and an outer one – by ferrite of relative permittivity less [
5
], ...
...The transmission lines studied are nonreciprocal (their properties depend on the sign of ferrite magnetization) [
17
]...
...procedure, using the zeros of the relevant characteristic equations) reveals their main features [
17
]: i) There are sets of values of the parameters of the configurations: of the waveguide radius, of the central switching conductor to waveguide radius ratio (if the geometry is coaxial), of the central ferrite (dielectric) cylinder to waveguide radius ratio (in case the structure is doublelayered and the anisotropic load is located in its ...
...the ferrite permeability tensor, of the ratio of the relative permittivities of the ferrite and dielectric medium (on the understanding that the line comprises two strata) and frequencies for which propagation along the positive z – direction of their axes is possible both for (only for) positive (counterclockwise) and (or only for) negative (clockwise) magnetization [
17
]; ii) For each of the aforesaid sets and for frequencies, greater ...
...are different and partially overlap [
17
]; iii) The cutoff frequencies of geometries depend on the magnitude of α but not on its sign...
...r – plane, pertinent to them serve as sources of pairs of phase characteristics for each α [
17
]; iv) The curves brought up may be finite, terminating at a peculiar envelop line(s) or infinite, going beyond the frequency range above...
...These from the side of higher frequencies are formed by the envelopes referred to [
17
]; v) The abscissas of the points of the envelopes are functions of certain positive real numbers ( L numbers) [17]; vi) Under the conditions of item ii), if there are two working points, it may hold: + − > β β , + − < β β or...
...These from the side of higher frequencies are formed by the envelopes referred to [17]; v) The abscissas of the points of the envelopes are functions of certain positive real numbers ( L numbers) [
17
]; vi) Under the conditions of item ii), if there are two working points, it may hold: + − > β β , + − < β β or...
...In case there is solely one working point, latching r M brings the geometry from transmission to a state in which it does not sustain the electromagnetic fields [
17
]; vii) A magnetically controlled cutoff is observed in which the structures do not guide the modes or are in a propagation regime when the direction of magnetization is reversed [17]; viii) There is a region of doublevaluedness of the phase curves for 0...
...In case there is solely one working point, latching r M brings the geometry from transmission to a state in which it does not sustain the electromagnetic fields [17]; vii) A magnetically controlled cutoff is observed in which the structures do not guide the modes or are in a propagation regime when the direction of magnetization is reversed [
17
]; viii) There is a region of doublevaluedness of the phase curves for 0...
...below cutoff. A forward and a backward wave with different phase constants might get excited in it [
17
]...
...ε ≠ [
5
,7], discloses the following complementary features of the doublelayered configurations: i) The phase curves for both signs of magnetization of the filling are finite...
...[1,4,
5
,7]); iii) The one of the two characteristics, belonging to certain pair for the same α lies partly or entirely below and the other one – entirely above cutoff...
...zero) function of its parameters) [1,4,
5
,7]...
Mariana Nikolova GeorgievaGrosse
,
et al.
Transmission properties of the circular waveguides completely or parti...
...The development of nonreciprocal digital phase shifters, operating in the normal 01 TE mode, is one of the basic reasons for investigation of the circular waveguides with azimuthally magnetized ferrite [1][
8
]...
...Different configurations with such type of filling have been studied and some peculiarities of their transmission properties have been revealed [1][
8
]...
M. N. GeorgievaGrosse
,
et al.
Differential phase shift characteristics of normal TE0n modes in an az...
...The study of the phase and differential phase shift characteristics of the circular ferrite waveguides with azimuthal magnetization, propagating normal 01 TE mode is of interest in view of the potentialities of these transmission lines as nonreciprocal digital phase shifters [
14
]...
Georgi Nikolov Georgiev
,
et al.
Analysis of the differential phase shift in the circular ferritediele...
...It is considered that the circular waveguides, containing coaxially positioned cylindrical or toroidal inserts of azimuthally magnetized ferrite that sustain normal 01 TE mode, are natural microwave structures for digital nonreciprocal phase shifters [
116
]...
Mariana Nikolova GeorgievaGrosse
,
et al.
Criteria for phase shifter operation of an azimuthally magnetized coax...
...Under certain conditions the azimuthally magnetized circular ferrite and ferritedielectric waveguides, operating in the normal 01 TE mode, might produce differential phase shift [
13
]...
...The computation of this quantity, of use in the development of digital phase shifters for electronically scanned antenna arrays, based on the geometries mentioned, is a complicated mathematical task [
111
]...
M. N. GeorgievaGrosse
,
et al.
Numerical results for the differential phase shift in the circular wav...
References
(9)
Propagation in anisotropic radially stratified circular waveguides
(
Citations: 16
)
P. J. B. Clarricoats
,
A. D. Olver
Journal:
Electronics Letters  ELECTRON LETT
, vol. 2, no. 1, 1966
Dispersion analysis of multilayer cylindrical transmission lines containing magnetized ferrite substrates
(
Citations: 15
)
Nihad Dib
,
Amjad Omar
Journal:
IEEE Transactions on Microwave Theory and Techniques  IEEE TRANS MICROWAVE THEORY
, vol. 50, no. 7, pp. 17301736, 2002
Cutoff Characteristics of Modes in a Circular Waveguide Filled With Microwave Ferrite
(
Citations: 3
)
W. Che
,
E. K. Yung
,
J. Wen
Journal:
Journal of Electromagnetic Waves and Applications  J ELECTROMAGNET WAVE APPLICAT
, vol. 16, no. 8, pp. 11031118, 2002
A new property of the complex Kummer function and its application to waveguide propagation
(
Citations: 20
)
C. N. Georgiev
,
Mariana Nikolova GeorgievaGrosse
Journal:
IEEE Antennas and Wireless Propagation Letters  IEEE ANTENN WIREL PROPAG LETT
, vol. 2, no. 21, pp. 306309, 2003
An approximate method for analysis of azimuthally magnetized circular ferrite waveguide phase shifter
(
Citations: 6
)
Georgi Nikolov Georgiev
,
Mariana Nikolova GeorgievaGrosse
Conference:
European Conference on Antennas and Propagation  EuCAP
, 2006
Sort by:
Citations
(9)
Transmission properties of the circular waveguides completely or partially filled with azimuthally magnetized ferrite: Review of recent results
Mariana Nikolova GeorgievaGrosse
,
Georgi Nikolov Georgiev
Conference:
IEEEAPS Conference on Antennas and Propagation for Wireless Communications  APWC
, 2011
Differential phase shift characteristics of normal TE0n modes in an azimuthally magnetized coaxial ferrite waveguide
(
Citations: 8
)
M. N. GeorgievaGrosse
,
G. N. Georgiev
Published in 2010.
Analysis of the differential phase shift in the circular ferritedielectric waveguide with azimuthal magnetization
(
Citations: 7
)
Georgi Nikolov Georgiev
,
M. N. GeorgievaGrosse
Conference:
Antennas and Propagation Society International Symposium  APSURSI
, pp. 14, 2010
Criteria for phase shifter operation of an azimuthally magnetized coaxial ferrite waveguide
(
Citations: 4
)
Mariana Nikolova GeorgievaGrosse
,
Georgi Nikolov Georgiev
Published in 2010.
Numerical results for the differential phase shift in the circular waveguide with azimuthally magnetized ferrite
(
Citations: 2
)
M. N. GeorgievaGrosse
,
G. N. Georgiev
Conference:
International Conference on Mathematical Methods in Electromagnetic Theory  MMET
, 2010