41 citations · 281 across the 31 of their papers we have counts for
31 papers
A Transient Port-Extraction Technique for Antenna Feed Optimization
Sean F. DePalma, Omkar H. Ramachandran, Leo C. Kempel +1
Optimization of strongly non-linear tightly coupled feeds attached to antennas is a challenging problem from a purely computational perspective. One can imagine that an optimizatio…
A Charge Conserving Exponential Predictor Corrector FEMPIC Formulation for Relativistic Particle Simulations
Omkar H. Ramachandran, Leo C. Kempel, John Luginsland +1
The state of art of charge-conserving electromagnetic finite element particle-in-cell has grown by leaps and bounds in the past few years. These advances have primarily been achiev…
Analytic preconditioners for decoupled potential integral equations and wideband analysis of scattering from PEC objects
J. A. Hawkins, L. Baumann, H. M. Aktulga +2
Many integral equations used to analyze scattering, such as the standard combined field integral equation (CFIE), are not well-conditioned for a wide range of frequencies and multi…
An Envelope Tracking Approach for Particle in Cell Simulations
Omkar H. Ramachandran, Zane D. Crawford, Scott O'Connor +2
The state of the art in electromagnetic Finite Element Particle-in-Cell (EM-FEMPIC) has advanced significantly in the last few years. These have included understanding function spa…
Transient dynamics of subradiance and superradiance in open optical ensembles
Elliot Lu, B. Shanker, Carlo Piermarocchi
We introduce a computational Maxwell-Bloch framework for investigating out-of-equilibrium optical emitters in open systems. To do so, we compute the pulse-induced dynamics of each…
A Complete Helmholtz Decomposition on Multiply Connected Subdivision Surfaces and Its Application to Integral Equations
A. M. A. Alsnayyan, L. Kempel, B. Shanker
The analysis of electromagnetic scattering in the isogeometric analysis (IGA) framework based on Loop subdivision has long been restricted to simply-connected geometries. The inabi…
Higher Order Charge Conserving Electromagnetic Finite Element Particle in Cell Method
Zane D. Crawford, O. H. Ramachandran, Scott O'Connor +2
Until recently, electromagnetic finite element PIC (EM-FEMPIC) methods that demonstrated charge conservation used explicit field solvers. It is only recently, that a series of pape…
Iso-geometric Integral Equation Solvers and their Compression via Manifold Harmonics
A. M. A. Alsnayyan, B. Shanker
The state of art of electromagnetic integral equations has seen significant growth over the past few decades, overcoming some of the fundamental bottlenecks: computational complexi…
Laplace-Beltrami based Multi-Resolution Shape Reconstruction on Subdivision Surfaces
A. M. A. Alsnayyan, B. Shanker
The eigenfunctions of the Laplace-Beltrami operator have widespread applications in a number of disciplines of engineering, computer vision/graphics, machine learning, etc. These e…
Port Parameter Extraction Based Self Consistent Coupled EM-Circuit FEM Solvers
O. H. Ramachandran, Scott O'Connor, Zane D. Crawford +2
Self consistent solution to electromagnetic (EM)-circuit systems is of significant interest for a number of applications. This has resulted in exhaustive research on means to coupl…
Quasi-Helmholtz Decomposition, Gauss' Laws and Charge Conservation for Finite Element Particle-in-Cell
Scott O'Connor, Zane D. Crawford, O. H. Ramachandran +2
Development of particle in cell methods using finite element based methods (FEMs) have been a topic of renewed interest; this has largely been driven by (a) the ability of finite e…
Time Integrator Agnostic Charge Conserving Finite Element PIC
Scott O'Connor, Zane D. Crawford, O. H. Ramachandran +2
Developing particle-in-cell (PIC) methods using finite element basis sets, and without auxiliary divergence cleaning methods, was a long standing problem until recently. It was sho…
A Set of Benchmark Tests for Validation of 3D Particle In Cell Methods
S. O'Connor, Z. D. Crawford, J. Verboncoeur +2
While the particle-in-cell (PIC) method is quite mature, verification and validation of both newly developed methods and individual codes has largely focused on an idiosyncratic ch…
Rubrics for Charge Conserving Current Mapping in Finite Element Particle in Cell Methods
Zane D. Crawford, Scott O'Connor, John Luginsland +1
Modeling of kinetic plasmas using electromagnetic particle in cell methods (EM-PIC) is a problem that is well worn, in that methods developed have been used extensively both unders…
High Performance Evaluation of Helmholtz Potentials using the Multi-Level Fast Multipole Algorithm
Michael P. Lingg, Stephen M. Hughey, Hasan Metin Aktulga +1
Evaluation of pair potentials is critical in a number of areas of physics. The classicalN-body problem has its root in evaluating the Laplace potential, and has spawned tree-algori…
Acceleration techniques for semiclassical Maxwell-Bloch systems: An application to discrete quantum dot ensembles
C. Glosser, E. Lu, T. J. Bertus +2
The solution to Maxwell-Bloch systems using an integral-equation-based framework has proven effective at capturing collective features of laser-driven and radiation-coupled quantum…
Decoupled Potential Integral Equations for Electromagnetic Scattering from Dielectric Objects
Jie Li, Xin Fu, Balasubramaniam Shanker
Recent work on developing novel integral equation formulations has involved using potentials as opposed to fields. This is a consequence of the additional flexibility offered by us…
Potential Integral Equations in Electromagnetics
Jie Li, Xin Fu, Balasubramaniam Shanker
In this work, a new integral equation (IE) based formulation is proposed using vector and scalar potentials for electromagnetic scattering. The new integral equations feature decou…
Collective Rabi dynamics of electromagnetically-coupled quantum dot ensembles
Connor Glosser, B. Shanker, Carlo Piermarocchi
Rabi oscillations typify the inherent nonlinearity of optical excitations in quantum dots. Using an integral kernel formulation to solve the 3D Maxwell-Bloch equations in ensembles…
Generalized Debye Sources Based EFIE Solver on Subdivision Surfaces
Xin Fu, Jie Li, Li Jun Jiang +1
The electric field integral equation is a well known workhorse for obtaining fields scattered by a perfect electric conducting (PEC) object. As a result, the nuances and challenges…
Subdivision based Isogeometric Analysis technique for Electric Field Integral Equations for Simply Connected Structures
Jie Li, Daniel Dault, Beibei Liu +2
The analysis of electromagnetic scattering has long been performed on a discrete representation of the geometry. This representation is typically continuous but {\em not} different…
Time-dependent Debye-Mie Series Solutions for Electromagnetic Scattering
Jie Li, Balasubramaniam Shanker
Frequency domain Mie solutions to scattering from spheres have been used for a long time. However, deriving their transient analogue is a challenge as it involves an inverse Fourie…
The Generalized Method of Moments for Electromagnetic Boundary Integral Equations
Daniel Dault, Naveen V. Nair, Jie Li +1
The Generalized Method of Moments (GMM) is a partition of unity based technique for solving electromagnetic and acoustic boundary integral equations. Past work on the GMM for elect…
A Stable Higher Order Space-Time Galerkin Scheme for Time Domain Integral Equations
A. J. Pray, Y. Beghein, N. V. Nair +3
Stability of time domain integral equation (TDIE) solvers has remained an elusive goal for many years. Advancement of this research has largely progressed on four fronts: (1) Exact…