Broadband Green's function and applications to fast electromagnetic modeling of high speed interconnects

2015 ◽  
Author(s):  
Shaowu Huang ◽  
Leung Tsang
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
High Speed ◽  
Electromagnetic Modeling ◽  
High Speed Interconnects

scholarly journals Electromagnetic Model of a SPR Sensor Coupled to Array of Nanoparticles by Periodic Green’s Function

2019 ◽  
Vol 2019 ◽  
pp. 1-19
Author(s):  
André Cruz ◽  
Victor Dmitriev ◽  
Tommaso Del Rosso ◽  
Karlo Costa
Keyword(s):  
Green’S Function ◽  
Surface Plasmon ◽  
Green's Function ◽  
Theoretical Method ◽  
Magnetic Potential ◽  
Electromagnetic Modeling ◽  
Electromagnetic Model ◽  
Sensor Structure ◽  
Resonance Sensor ◽  
Planar Array

In this paper, we present a theoretical study of a Surface Plasmon Resonance Sensor in the Surface Plasmon Coupled Emission (SPCE) configuration. A periodic planar array of core-shell gold nanoparticles (AuNps), chemically functionalized to aggregate fluorescent molecules, is coupled to the sensor structure. These nanoparticles, characterized as target particles, are modeled as equivalent nanodipoles. The electromagnetic modeling of the device was performed using the spectral representation of the magnetic potential by Periodic Green’s Function (PGF). Parametric results of spatial electric and magnetic fields are presented at wavelength 632.8nm. We also present a spectral analysis of the magnetic potential, where we verify the appearance of the surface plasmon polariton (SPP) waves. To validate the analytical method, we compared the limit case of small concentration of nanoparticles with published works. We also present a convergence analysis of the solution as a function of the concentration of nanoparticles in the periodic array. The results show that the theoretical method of PFG can be efficiently used as a tool for design of this sensing device.

Induced‐polarization and electromagnetic modeling of a three‐dimensional body buried in a two‐layer anisotropic earth

Geophysics ◽  
1986 ◽  
Vol 51 (12) ◽  
pp. 2235-2246 ◽  
Author(s):  
Zonghou Xiong ◽  
Yanzhong Luo ◽  
Shoutan Wang ◽  
Guangyao Wu
Keyword(s):  
Integral Equation ◽  
Green’S Function ◽  
Green's Function ◽  
Lower Layer ◽  
Integral Equation Method ◽  
Induced Polarization ◽  
Equation Method ◽  
Frequency Effect ◽  
Electromagnetic Modeling ◽  
The Earth

The integral equation method is used for induced‐polarization (IP) and electromagnetic (EM) modeling of a finite inhomogeneity in a two‐layer anisotropic earth. An integral equation relates the exciting electric field and the scattering currents in the homogeneity through the electric tensor Green’s function deduced from the vector potentials in the lower layer of the earth. Digital linear filtering and three‐point parabolic Lagrangian interpolation with two variables speed up the numerical evaluation of the Hankel transforms in the tensor Green’s function. The results of this integral equation method for isotropic media are checked by direct comparisons with results by other workers. The results for anisotropic media are indirectly verified, mainly by checking the tensor Green’s function. The calculated results show that the effects of anisotropy on apparent resistivity and percent frequency effect are to reduce the size of the anomalies, shift the anomaly region downward toward the lower centers of the pseudosections, and enhance the effect of overburden; in other words, to shade the target from detection. This is due to the increase of currents flowing horizontally through the earth over the target. The effects of anisotropy on horizontal‐loop EM responses are to reduce the amplitude and lower the critical frequency of the maximum of the quadrature component.

Passive Extraction of Dynamic Transfer Function From Arbitrary Ambient Excitations: Application to High-Speed Rail Inspection From Wheel-Generated Waves

2017 ◽  
Vol 1 (1) ◽  
Author(s):  
Francesco Lanza di Scalea ◽  
Xuan Zhu ◽  
Margherita Capriotti ◽  
Albert Y. Liang ◽  
Stefano Mariani ◽  
...  
Keyword(s):  
Transfer Function ◽  
Green’S Function ◽  
Green's Function ◽  
High Speed ◽  
Ultrasonic Inspection ◽  
Maximum Speed ◽  
High Speed Rail ◽  
Ground Shaking ◽  
Novel Concept ◽  
General Topic

The general topic of this paper is the passive reconstruction of an acoustic transfer function from an unknown, generally nonstationary excitation. As recently shown in a study of building response to ground shaking, the paper demonstrates that, for a linear system subjected to an unknown excitation, the deconvolution operation between two receptions leads to the Green's function between the two reception points that is independent of the excitation. This is in contrast to the commonly used cross-correlation operation for passive reconstruction of the Green's function, where the result is always filtered by the source energy spectrum (unless it is opportunely normalized in a manner that makes it equivalent to a deconvolution). This concept is then applied to high-speed ultrasonic inspection of rails by passively reconstructing the rail's transfer function from the excitations naturally caused by the rolling wheels of a moving train. A first-generation prototype based on this idea was engineered using noncontact air-coupled sensors, mounted underneath a test railcar, and field tested at speeds up to 80 mph at the Transportation Technology Center (TTC), Pueblo, CO. This is the first demonstration of passive inspection of rails from train wheel excitations and, to the authors' knowledge, the first attempt ever made to ultrasonically inspect the rail at speeds above ∼30 mph (that is the maximum speed of common rail ultrasonic inspection vehicles). Once fully developed, this novel concept could enable regular trains to perform the inspections without any traffic disruption and with great redundancy.

GREEN'S FUNCTION MATCHING METHOD FOR REALISTIC CALCULATIONS OF INTERFACES

1985 ◽  
Vol 46 (C4) ◽  
pp. C4-321-C4-329 ◽  
Author(s):  
E. Molinari ◽  
G. B. Bachelet ◽  
M. Altarelli
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Matching Method
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