Dyadic Green's function of the magnetic vector potential for unbounded uniaxial anisotropic media

Zhuo, Jianliang; Han, Feng; Liu, N.; Ye, L.; Liu, Q. H.

doi:10.1109/piers.2016.7734416

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“…By evaluating the dyadic Green's functions of the magnetic vector potential A (DGFA) and that of the electric vector potential F (DGFE) for an uniaxially anisotropic multilayered medium and solving for the electric and magnetic flux densities numerically, the background fields E i and H i can be calculated easily. With Sommerfeld integration, the calculation of DGFA in the uniaxial anisotropic medium is expressed as [20] G AJ (r, r ) = 1 (2π)…”

Section: B Dyadic Green's Functions In a Layered Uniaxially Anisotropic Mediummentioning

confidence: 99%

“…k is the wave vector, Z A and Z a A are the electric wave matrix and its adjoint, and |Z A | is determinant of Z A . More detailed derivation can be referred to [20].…”

Section: B Dyadic Green's Functions In a Layered Uniaxially Anisotropic Mediummentioning

confidence: 99%

“…( 9) cannot be directly used to compute DGFA because of the singularity. The numerical mean value is used to address the problem [20]. Finally, the DGFE can be obtained by the duality theorem.…”

Section: B Dyadic Green's Functions In a Layered Uniaxially Anisotropic Mediummentioning

confidence: 99%

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Mixed Spectral Element Method for Electromagnetic Secondary Fields in Stratified Inhomogeneous Anisotropic Media

et al. 2021

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The spectral element method (SEM) is widely used for analyzing high frequency electromagnetic wave propagation and scattering in complex structures. At low frequencies, however, the primary (direct) fields are usually much larger than the secondary fields caused by scattering, thus making it much more difficult to accurately simulate the secondary (scattered) fields because of the source singularity in the primary fields. To more effectively and accurately simulate the low-frequency secondary fields in subsurface structures, in this work the vector Helmholtz equation for the scattered fields is used to directly obtain the secondary field data in inhomogeneous anisotropic media. The computational method for the secondary electromagnetic fields is based on the mixed spectral element method (mixed SEM) for anisotropic objects in a layered anisotropic background medium. The electromagnetic field is separated into the background fields that are evaluated analytically using the dyadic Green's functions (DGFs) of a layered uniaxially anisotropic medium, and the secondary fields caused by anomalous bodies with arbitrary shapes are numerically computed by the mixed SEM. This avoids the source singularity, and allows the transmitters to be located outside the computational domain. By enforcing Gauss' law as the constraint condition, the mixed SEM efficiently eliminates the low frequency breakdown problem. Numerical results verify the proposed method over the traditional SEM in low-frequency scattering from objects in subsurface layered anisotropic media.INDEX TERMS Mixed spectral element method, secondary field, anisotropic media, source singularity.

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Section: B Dyadic Green's Functions In a Layered Uniaxially Anisotropic Mediummentioning

confidence: 99%

“…k is the wave vector, Z A and Z a A are the electric wave matrix and its adjoint, and |Z A | is determinant of Z A . More detailed derivation can be referred to [20].…”

Section: B Dyadic Green's Functions In a Layered Uniaxially Anisotropic Mediummentioning

confidence: 99%

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Mixed Spectral Element Method for Electromagnetic Secondary Fields in Stratified Inhomogeneous Anisotropic Media

et al. 2021

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Dyadic Green's function of the magnetic vector potential for unbounded uniaxial anisotropic media

Cited by 1 publication

References 0 publications

Mixed Spectral Element Method for Electromagnetic Secondary Fields in Stratified Inhomogeneous Anisotropic Media

Mixed Spectral Element Method for Electromagnetic Secondary Fields in Stratified Inhomogeneous Anisotropic Media

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