Dyadic Green's Functions in Multilayered Stratified Gyroelectric Chiral Media

Abstract

To characterize electromagnetic waves in complex media has been an important topic because of its useful applications and scientific significance of its physical mechanism. Dyadic Green's functions, as a mathematical kernel or a dielectric medium response, relate directly the radiated electromagnetic fields and the source distribution. In terms of the vector wave functions in cylindrical coordinates, dyadic Green's functions in a unbounded and a planar, multilayered gyroelectric chiral media are formulated. By use of the scattering superposition principle and taking the multiple reflections into account, a general representation of the Green's dyadics is obtained. Furthermore, the scattering coefficients of the Green's dyadics are determined from the boundary conditions at each interface and are expressed in a greatly compact form of recurrence matrices. In the formulation of the Green's dyadics and their scattering coefficients, three cases are considered, i.e., the current source is impressed in (1) the first, (2) the intermediate, and (3) the last regions, respectively. Although the dyadic Green's functions for a unbounded gyroelectric chiral medium has been reported in the literature, some of the results are incorrect. As compared to the existing results, the current work basically contributes (1) a correct form of dyadic Green's function for a unbounded gyroelectric chiral medium, (2) the general representation of the dyadic Green's functions for a multi-layered gyroelectric chiral medium, and (3) a convincible and direct derivation of the irrotational Green's dyadic.

Analysis of Mm-Wave Bands Quasi-Optical Unstable Bessel-Gauss Resonator by Idgf Algorithm

“…The IDGF algorithm employs the dyadic Green's function to compute the diffraction field inside the cavity. The dyadic Green's function theory is an extremely powerful and efficient way in the study of electromagnetic wave propagation and scattering, and has been extensively developed to solve so many electromagnetic problems [25][26][27][28][29][30]. The electric and magnetic field components E and H of the dyadic Green's function diffraction integral formula can be written as [25]…”

Eigenfunctional Expansion of Dyadic Green's Functions in Gyrotropic Media Using Cylindrical Vector Wave Functions

“…where Ψ n (h, λ) is given by (9). In actuality, the differentiations are performed before the integration.…”

“…Although the DGFs in isotropic media have been well-documented in the last three decades, a complete formulation of the DGFs in various media using the eigenfunction expansion technique has not been achieved so far. For example, for the past three decades, the dyadic Greens functions in anisotropic media have been derived [4][5][6][7][8][9][10][11][12] using one of the three methods, namely the Fourier transform technique, the method of angular spectrum expansion and the transmission matrix method. However, there is still no available result for the DGF of gyrotropic media in terms of cylindrical vector wave functions; this hence motivates the present work.…”

Electromagnetic Analysis of a Non Invasive Microwave Radiometry Imaging System Emphasizing on the Focusing Sensitivity Optimization

“…In order to solve this problem, a Green's function technique is adopted [10][11][12][13][14][15][16]. According to the Reciprocity theorem, a response of a system to a source is unchanged when source and measurer are interchanged.…”