• Corpus ID: 220935523

A Matrix Basis Formulation For The Green's Functions Of Maxwell's Equations And The Elastic Wave Equations In Layered Media

@article{Zhang2020AMB,
  title={A Matrix Basis Formulation For The Green's Functions Of Maxwell's Equations And The Elastic Wave Equations In Layered Media},
  author={Wenzhong Zhang and Bo Wang and Wei Cai},
  journal={ArXiv},
  year={2020},
  volume={abs/2008.01047}
}
A matrix basis formulation is introduced to represent the 3 x 3 dyadic Green's functions in the frequency domain for the Maxwell's equations and the elastic wave equation in layered media. The formulation can be used to decompose the Maxwell's Green's functions into independent TE and TM components, each satisfying a Helmholtz equation, and decompose the elastic wave Green's function into the S-wave and the P-wave components. In addition, a derived vector basis formulation is applied to the… 

References

SHOWING 1-10 OF 17 REFERENCES

Electromagnetic scattering and radiation by surfaces of arbitrary shape in layered media. I. Theory

An accurate and general procedure for the analysis of electromagnetic radiation and scattering by perfectly conducting objects of arbitrary shape embedded in a medium consisting of an arbitrary

Integral Equation Methods for Electromagnetic and Elastic Waves

  • W. ChewM. TongB. Hu
  • Mathematics
    Integral Equation Methods for Electromagnetic and Elastic Waves
  • 2008
Important relevant knowledge for integral equations are consolidated in one place and researchers need only read the pertinent chapters in this book to gain important knowledge needed for integral equation research.

Exponential Convergence for Multipole and Local Expansions and Their Translations for Sources in Layered Media: Two-Dimensional Acoustic Wave

The multipole expansion (ME) and local expansion (LE) for far fields from wave sources in two-dimensional (2-D) layered media as well as the multipole-to-local transl...

Fast Multipole Method For 3-D Helmholtz Equation in Layered Media

A fast multipole method (FMM) is proposed to compute long-range interactions of wave sources embedded in 3-dimensional (3-D) layered media.

Electromagnetic scattering and radiation by surfaces of arbitrary shape in layered media. II. Implementation and results for contiguous half-spaces

For pt.I see ibid., vol.38, no.3, p.335-44 (1990). In pt.I, three mixed-potential electric field integral equations (MPIEs) for conducting surfaces of arbitrary shape residing in plane-stratified

Nonuniqueness of resolution of hertz vector in presence of a boundary, and the horizontal dipole problem

It is proved that Sommerfeld's resolution of \Pi, \Pi=(\Pi_{x},0,\Pi_{z}) for the x directed dipole source in the classical dipole problem is not unique and is just one of four acceptable

Waves and Fields in Inhomogeneous Media

Preface. Acknowledgements. 1: Preliminary background. 2: Planarly layered media. 3: Cylindrically and spherically layered media. 4: Transients. 5: Variational methods. 6: Mode matching method. 7:

Taylor expansion based fast multipole method for 3-D Helmholtz equations in layered media

Computational Methods for Electromagnetic Phenomena: Electrostatics in solvation

This chapter discusses electrostatics in Solvations, transport models in plasma media and numerical methods, and Solving Schrodinger equations in waveguides and quantum dots.