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Solution of electromagnetic propagation problems in shielded transmission lines using the eigenmode projection technique

By: Ashour, Mohamed O.
Contributor(s): Eshrah, Islam A.
Publisher: Haryana IOSR - International Organization of Scientific Research 2022Edition: Vol.12(6), Nov-Dec.Description: 30-39p.Subject(s): Computer EngineeringOnline resources: Click here In: IOSR journal of VLSI and signal processing (IOSR-JVSP)Summary: An eigenmode projection technique is utilized to solve the problems ofthe electromagnetic wave propagation in shielded transmission lines. The technique isadopted to solve theproblems ofinfinite length rectangular shaped loaded lineswhere a fictitious canonical cavity surrounded by perfect electric surfaceis chosen to enclose the line and the fields inside are expanded in terms ofthe cavitysolenoidal and irrotational eigenmodes where they are considered as a complete set torepresent any vector field inside the cavity. The fields in Maxwell’s equations inside theenclosed region are then expanded using the cavity eigenmodes. Finally, a set of equationsfor the eigenmodes are resulted by using thefields expansions in Maxwell’s equations ofthe cavity where mode projections are done. This set of equations aresolved together toget the line dispersion curve and the propagating modes.
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An eigenmode projection technique is utilized to solve the problems ofthe electromagnetic wave propagation in
shielded transmission lines. The technique isadopted to solve theproblems ofinfinite length rectangular shaped
loaded lineswhere a fictitious canonical cavity surrounded by perfect electric surfaceis chosen to enclose the
line and the fields inside are expanded in terms ofthe cavitysolenoidal and irrotational eigenmodes where they
are considered as a complete set torepresent any vector field inside the cavity. The fields in Maxwell’s equations
inside theenclosed region are then expanded using the cavity eigenmodes. Finally, a set of equationsfor the
eigenmodes are resulted by using thefields expansions in Maxwell’s equations ofthe cavity where mode
projections are done. This set of equations aresolved together toget the line dispersion curve and the
propagating modes.

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