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On the A, B, C Numbers and Their Application in the Theory of Circular Waveguide with Azimuthally Magnetized Ferrite
On the A, B, C Numbers and Their Application in the Theory of Circular Waveguide with Azimuthally Magnetized Ferrite,10.2529/PIERS090828145859,Piers O
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On the A, B, C Numbers and Their Application in the Theory of Circular Waveguide with Azimuthally Magnetized Ferrite
(
Citations: 5
)
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Mariana Nikolova GeorgievaGrosse
,
Georgi Nikolov Georgiev
Journal:
Piers Online
, vol. 6, no. 4, pp. 370374, 2010
DOI:
10.2529/PIERS090828145859
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piers.mit.edu
)
Citation Context
(5)
...The differential phase shift provided by the azimuthally magnetized circular and coaxial ferrite waveguides for normal n TE 0 modes can directly be computed from their parameters through the classes of real A , B and C numbers [
13
]...
...The complicated way in which they have been determined [1] and the insufficient information for them [1,
2
] however, hampers their usage in practice...
Mariana Nikolova GeorgievaGrosse
,
et al.
On the class of A1 numbers: Definition, numerical modeling, domain of ...
...The A , B and C numbers appeared in the theory of the azimuthally magnetized circular and coaxial ferrite waveguides, propagating normal n TE0 modes [
15
], based on the complex confluent hypergeometric functions [6], as a means for computation of the differential phase shift, afforded by these structures [1]...
...The elaborate way in which they have been advanced [2] and the insufficient yet information for them [
15
] however, hampers their usage in practice...
...mode, could be reckoned up by the formula [2,
3
,5]:...
Mariana Nikolova GeorgievaGrosse
,
et al.
Comparative study on the computational modeling and application of the...
...The A , B and C numbers appeared in the theory of the azimuthally magnetized circular and coaxial ferrite waveguides, propagating normal n TE0 modes [
15
], based on the complex confluent hypergeometric functions [6], as a means for computation of the differential phase shift, afforded by these structures [1]...
...The elaborate way in which they have been advanced [2] and the insufficient yet information for them [
15
] however, hampers their usage in practice...
...mode, could be reckoned up by the formula [2,
3
,5]:...
Mariana Nikolova GeorgievaGrosse
,
et al.
Comparative study on the computational modeling and application of the...
...ε 0 = , is subject to the equation [
510
]: a Φ x () 0 , 0 = (22)...
...It could be counted in normalized form either employing complicated iterative schemes [9] or using the formula [
58
]: Δβ = AB / C (23)...
...the A , B , C numbers, however, also is difficult [
8
]...
...47604. Ignoring the slight effect of α on A , of 0 on B and of both α and 0 r on C [
8
], it is easy to show that the phase shift for any admissible couple of parameters {} 0 α [5] could be reckoned from the expression:...
Georgi Nikolov Georgiev
,
et al.
An application of the zeros of Laguerre polynomials
...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
]...
...They allowed to reckon the phase shift with a negligible error directly from the structure parameters by simple formulae, written through suitably defined new real numbers [9,
10
]...
...The propagation of normal n TE0 modes in the circular waveguide, uniformly filled with ferrite, magnetized in azimuthal direction to remanence by an infinitely thin central switching wire, is subject to the equation [1,5,
911
]:...
M. N. GeorgievaGrosse
,
et al.
Numerical results for the differential phase shift in the circular wav...
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Citations
(5)
On the class of A1 numbers: Definition, numerical modeling, domain of existence and application
(
Citations: 2
)
Mariana Nikolova GeorgievaGrosse
,
Georgi Nikolov Georgiev
Conference:
General Assembly and Scientific Symposium  URSI
, 2011
Comparative study on the computational modeling and application of the classes of A, B, C numbers
(
Citations: 1
)
Mariana Nikolova GeorgievaGrosse
,
Georgi Nikolov Georgiev
Conference:
IEEEAPS Conference on Antennas and Propagation for Wireless Communications  APWC
, 2011
Comparative study on the computational modeling and application of the classes of A, B, C numbers
Mariana Nikolova GeorgievaGrosse
,
Georgi Nikolov Georgiev
Conference:
International Conference on Electromagnetics in Advanced Applications  ICEAA
, 2011
An application of the zeros of Laguerre polynomials
(
Citations: 4
)
Georgi Nikolov Georgiev
,
Mariana Nikolova GeorgievaGrosse
Conference:
International Conference on Electromagnetics in Advanced Applications  ICEAA
, 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