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Information Journal Paper

Title

LEAST SQUARE SOLUTION OF THE JUNCTION OF CYLINDRICAL WAVEGUIDES OF ARBITRARY CROSS-SECTION

Pages

  131-146

Keywords

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Abstract

 In this paper a least square numerical method is presented for the solution of the junction of cylindrical waveguides. First, the electromagnetic fields in the input, output and the aperture waveguides are expressed by their modal expansions. Then, using the boundary conditions on the tangential electric and magnetic fields over the waveguide junction, an error function is constructed which is a positive definite quadratic function of the modal amplitudes. The unique minimum point of this error function may be obtained by the inverse of a hermitian matrix. This method of least squares (MLS) is applied to parallel- plate and also rectangular waveguide junctions including conducting diaphrgms. The outputs from computer implementations are compared with the data in the literature. In the present version of MLS similar to the method of moments for the solution of waveguide junction problems, the phenomenon of relative convergence appears where the relative number of modes in various sections of the waveguide has a definite effect on convergence of the numerical methods and should be selected in proportions to the size of the waveguides. On the other hand, in the customary method of least squares, a weighting factor appears in the error functions [1], which has a definite effect on the solution and the conservation of power and reaction should be used to determind its correct value. Therefore, there is an uncertainty of the solution of the waveguide junction problems by the various versions of the method of least squares, and it is necessary to adopt appropriate measures to reduce errors.

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    APA: Copy

    ARIZI, H., & KHALILI, REZA. (2002). LEAST SQUARE SOLUTION OF THE JUNCTION OF CYLINDRICAL WAVEGUIDES OF ARBITRARY CROSS-SECTION. INTERNATIONAL JOURNAL OF INDUSTRIAL ENGINEERING AND PRODUCTION MANAGEMENT (IJIE) (INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE) (PERSIAN), 12(4), 131-146. SID. https://sid.ir/paper/66006/en

    Vancouver: Copy

    ARIZI H., KHALILI REZA. LEAST SQUARE SOLUTION OF THE JUNCTION OF CYLINDRICAL WAVEGUIDES OF ARBITRARY CROSS-SECTION. INTERNATIONAL JOURNAL OF INDUSTRIAL ENGINEERING AND PRODUCTION MANAGEMENT (IJIE) (INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE) (PERSIAN)[Internet]. 2002;12(4):131-146. Available from: https://sid.ir/paper/66006/en

    IEEE: Copy

    H. ARIZI, and REZA KHALILI, “LEAST SQUARE SOLUTION OF THE JUNCTION OF CYLINDRICAL WAVEGUIDES OF ARBITRARY CROSS-SECTION,” INTERNATIONAL JOURNAL OF INDUSTRIAL ENGINEERING AND PRODUCTION MANAGEMENT (IJIE) (INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE) (PERSIAN), vol. 12, no. 4, pp. 131–146, 2002, [Online]. Available: https://sid.ir/paper/66006/en

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    مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources
    مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources
    مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources
    مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources
    مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources
    مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources
    مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources
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