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Non-physical, linearly increasing and constant current components are induced in marching on-in-time solution of time domain surface integral equations when initial conditions on time derivatives of (unknown) equivalent currents are not enforced properly. This problem can be remedied by solving the time integral of the surface integral for auxiliary currents that are defined to be the time derivatives...
A marching on-in-time (MOT) scheme for analyzing transient electromagnetic wave interactions on devices consisting of graphene sheets and dielectric substrates is proposed. The MOT scheme discretizes time domain resistive boundary condition (TD-RBC) and Poggio-Miller-Chang-Harrington-Wu-Tsai (TD-PMCHWT) integral equation, which are enforced on the surfaces of the graphene and dielectric substrate,...
When two structures are within sub-nanometer distance of each other, quantum tunneling, i.e., electrons "jumping" from one structure to another, becomes relevant. Classical electromagnetic solvers do not directly account for this additional path of current. In this work, an auxiliary tunnel made of Drude material is used to "connect" the structures as a support for this current...
When two structures are within sub-nanometer distance of each other, quantum tunneling, i.e., electrons "jumping" from one structure to another, becomes relevant. Classical electromagnetic solvers do not directly account for this additional path of current. In this work, an auxiliary tunnel made of Drude material is used to "connect" the structures as a support for this current...
Graphene is a monolayer of carbon atoms structured in the form of a honeycomb lattice. Recent experimental studies have revealed that it can support surface plasmons at Terahertz frequencies thanks to its dispersive conductivity. Additionally, characteristics of these plasmons can be dynamically adjusted via electrostatic gating of the graphene sheet (K. S. Novoselov, et al., Science, 306, 666–669,...
Analysis of electromagnetic interactions on nanodevices can oftentimes be carried out accurately using “traditional” electromagnetic solvers. However, if a gap of sub-nanometer scale exists between any two surfaces of the device, quantum-mechanical effects including tunneling should be taken into account for an accurate characterization of the device's response. Since the first-principle quantum simulators...
A marching on in time (MOT) scheme for solving the Poggio-Miller-Chan-Harrington-Wu-Tsai (PMCHWT) surface integral equation on plasmonic nanostructures is described. The proposed scheme calls for temporal convolutions of the permittivity and Green function of the plasmonic medium with the temporal basis function. Time domain samples of the permittivity and the Green function required by these convolutions...
A marching on-in-time (MOT) scheme for analyzing transient electromagnetic wave interactions on graphene sheets is described. The proposed scheme discretizes a time domain-resistive boundary condition (TDRBC) enforced on the infinitesimally thin graphene sheet. Time domain samples of the graphene's surface resistivity required by the MOT-TDRBC solver are computed from its frequency domain samples...
Transient electromagnetic interactions on conductive dielectric scatterers are analyzed by solving the Poggio–Miller–Chan–Harrington–Wu–Tsai (PMCHWT) surface integral equation with a marching on-in-time (MOT) scheme. The proposed scheme, unlike the previously developed ones, permits the analysis on scatterers with multiple volumes of different conductivity. This is achieved by maintaining an extra...
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