Dyadic Green's functions for general uniaxial media

We determined that the electromagnetic vertical transverse isotropic response in a layered earth can be obtained by solving two equivalent scalar equations, which were for the vertical electric field and for the vertical magnetic field, involving only a scalar global reflection coefficient. Besides the complete derivation of the full electromagnetic response, we also developed the corresponding computer code called EMmod, which models the full electromagnetic fields including internal multiples in the frequency-wavenumber domain and obtains the frequency-space domain solutions through a Hankel transformation by computing the Hankel integral using a 61-point Gauss-Kronrod integration routine. The code is able to model the 3D electromagnetic field in a 1D earth for diffusive methods such as controlled source electromagnetics as well as for wave methods such as ground penetrating radar. The user has complete freedom to place the source and the receivers in any layer. The modeling is illustrated with three examples, which aim to present the different capabilities of EMmod, while assessing its correctness.

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“…This is done in this section and results in similar expressions as, for example, found by Weiglhofer (1990) or Abubakar and Habashy (2006).…”

Section: The Space Frequency Domain Homogeneous Space Green's Functionssupporting

confidence: 60%

The electromagnetic response in a layered vertical transverse isotropic medium: A new look at an old problem

2015

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“…There exist considerable effects of the material parameters on the cutoff frequencies of the propagating waves, especially the TM modes. The dyadic Green's functions for various kinds of anisotropic media with different structures have been studied by many authors [14][15][16][17][18][19][20]. The problems, however, are mostly analyzed in spectral domain in terms of Fourier transform, due to the difficulty of finding the expansion of the dyadic Green's functions in terms of vector wave functions for anisotropic media.…”

Section: Introductionmentioning

confidence: 99%

Rectangular Conducting Waveguide Filled with Uniaxial Anisotropic Media: a Modal Analysis and Dyadic Green's Function

Liu¹,

Li²,

Leong³

et al. 2000

PIER

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“…Similarly, µ // and µ ⊥ are the relative permeability along the // and ⊥ axes. For nonmagnetic (μ =Ī) uniaxial dielectric media, the dyadic Green's functions take the form [14] G e = iωµ 0 4π…”

Section: Integral Equationsmentioning

confidence: 99%

“…β n B n (14) where N is the total number of basis functions, and α n and β n are the unknown expansion coefficients. The basis functions B n take the form of (7).…”

Section: Integral Equationsmentioning

confidence: 99%

Higher Order Hierarchical Legendre Basis Functions Application to the Analysis of Scattering by Uniaxial Anisotropic Objects

Lv¹,

Shi²,

Chen³

2010

PIER M

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Abstract-An efficient technique for the analysis of scattering by uniaxial anisotropic objects is presented. The technique is based on the method of higher order MoM of the surface integral equations. This higher order MoM solution uses the higher order hierarchical basis functions which are based on the modified Legendre polynomials. Numerical results are given to demonstrate that the higher order hierarchical basis functions are more accurate and efficient in the calculations of uniaxial anisotropic objects scattering problem than the low-order basis function.

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Dyadic Green's functions for general uniaxial media

Cited by 85 publications

References 1 publication

The electromagnetic response in a layered vertical transverse isotropic medium: A new look at an old problem

The electromagnetic response in a layered vertical transverse isotropic medium: A new look at an old problem

Rectangular Conducting Waveguide Filled with Uniaxial Anisotropic Media: a Modal Analysis and Dyadic Green's Function

Higher Order Hierarchical Legendre Basis Functions Application to the Analysis of Scattering by Uniaxial Anisotropic Objects

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