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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

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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Journal: Piers Online , vol. 6, no. 4, pp. 370-374, 2010
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    • ...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 [1-3]...
    • ...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 Georgieva-Grosseet 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 [1-5], 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 [1-5] however, hampers their usage in practice...
    • ...mode, could be reckoned up by the formula [2,3,5]:...

    Mariana Nikolova Georgieva-Grosseet 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 [1-5], 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 [1-5] however, hampers their usage in practice...
    • ...mode, could be reckoned up by the formula [2,3,5]:...

    Mariana Nikolova Georgieva-Grosseet al. Comparative study on the computational modeling and application of the...

    • ...ε 0 = , is subject to the equation [5-10]: a Φ x () 0 , 0 = (22)...
    • ...It could be counted in normalized form either employing complicated iterative schemes [9] or using the formula [5-8]: 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 Georgievet 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 [1-11]...
    • ...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 [1,5,9-11]:...

    M. N. Georgieva-Grosseet al. Numerical results for the differential phase shift in the circular wav...

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