Physical DC Modes in the Microwave Resonator With Complex Geometric Topology

Jiang, Wei

doi:10.1109/tmag.2019.2928785

Cited by 4 publications

(6 citation statements)

References 20 publications

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“…When the geometry Ω of the resonant cavity has a very complex geometric topology such that both PDEs (1) and PDEs (2) have physical dc modes, in this case, it is worthwhile to point out that these dc modes are not equivalent between PDEs (1) and PDEs (2). For details, please see [11].…”

Section: The Governing Equations Of 3-d Resonant Cavity Problemmentioning

confidence: 99%

“…Restricting the mixed variational form (10) on W h 2 × S h 2 , one can get the discrete mixed variational form associated with (10), and that is 11) and (Λ h , E h , p h ) in ( 12) are an approximations of the exact solution (Λ, H, q) in ( 9) and (Λ, E, p) in ( 10) respectively. Next, the MFEM is applied to solve the discrete mixed variational forms (11) and (12).…”

Section: A Mixed Variational Formsmentioning

confidence: 99%

“…However, the boundary conditions (3c)-(3d) need a special treatment in the numerical implementation of MFEM, since the boundary conditions (3c)-(3d) are two essential boundary condition in FEM. Here, we only list the matrix eigenvalue problem corresponding to the mixed variational form (11), and that is…”

Section: B Generalized Eigenvalue Problemmentioning

confidence: 99%

“…In order to distinguish the numerical eigenvalues from (11) and (12). The numerical eigenvalues from (11) and (12) are denoted by Λ h (cu, H) and Λ h (cu, E), respectively.…”

Section: Numerical Experimentsmentioning

confidence: 99%

“…In order to distinguish the numerical eigenvalues from (11) and (12). The numerical eigenvalues from (11) and (12) are denoted by Λ h (cu, H) and Λ h (cu, E), respectively. The numerical eigenvalues obtained by the projection method in [8] to solve PDEs (2) are denoted by Λ h (pr, H).…”

Section: Numerical Experimentsmentioning

confidence: 99%

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Numerical Eigensolver for Solving Eigenmodes of Cavity Resonators Filled With both Electric and Magnetic Lossy, Anisotropic Media

Jiang¹,

Liu²,

Zheng³

2021

Preprint

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This article presents the numerical eigensolver to find the resonant frequencies of 3-D closed cavity resonators filled with both electric and magnetic lossy, anisotropic media. By introducing a dummy variable with zero value in the 3-D linear vector Maxwell eigenvalue problem for the electric field, we enforce the divergence-free condition for electric flux density in a weak sense. In addition, by introducing a dummy variable with constant value in the 3-D linear vector Maxwell eigenvalue problem for the magnetic field, we enforce the divergence-free condition for magnetic flux density in a weak sense. Moreover, it is theoretically proved that the novel method of introducing dummy variables can be free of all the spurious modes in solving eigenmodes of the 3-D closed cavity problem. Numerical experiments show that the numerical eigensolver supported by this article can eliminate all the spurious modes, including spurious dc modes.

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Section: The Governing Equations Of 3-d Resonant Cavity Problemmentioning

confidence: 99%

Section: A Mixed Variational Formsmentioning

confidence: 99%

Section: B Generalized Eigenvalue Problemmentioning

confidence: 99%

“…In order to distinguish the numerical eigenvalues from (11) and (12). The numerical eigenvalues from (11) and (12) are denoted by Λ h (cu, H) and Λ h (cu, E), respectively.…”

Section: Numerical Experimentsmentioning

confidence: 99%