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Radiation Effects and Defects in Solids
Incorporating Plasma Science and Plasma Technology
Volume 176, 2021 - Issue 1-2: Editor's Special
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Articles

One- and two-dimensional quantum lattice algorithms for Maxwell equations in inhomogeneous scalar dielectric media. II: Simulations

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Pages 64-72 | Received 14 Dec 2020, Accepted 20 Jan 2021, Published online: 12 Apr 2021
 

Abstract

Long-time quantum lattice algorithm (QLA) simulations are performed for the multiple reflection–transmission of an initial electromagnetic pulse propagating normally to a boundary layer region joining two media of different refractive index. For these one-dimensional (1D) simulations, there is excellent agreement between x-, y- and z-representations, as well as very good agreement with nearly all the standard plane wave boundary condition results for reflection and transmission off a dielectric discontinuity. In the QLA simulation, no boundary conditions are imposed at the continuous, but sharply increasing, dielectric boundary layers. Two-dimensional (2D) QLA scattering simulations in the xz plane are performed for an electromagnetic pulse interacting with a conical dielectric obstacle for the 8–16 qubit model.

Acknowledgments

L. V. was partially supported by an AFRL STTR Phase I with Semicyber LLC contract number FA864919PA049. G. V., L. V. and M. S. were partially supported by an AFRL STTR Phase 2 with Semicyber LLC contract number FA864920P0419. A. K. R. was supported by DoE Grant Number DE-FG02-91ER-54109 and DE-SC0018090. The 2D simulations used resources of the National Energy Research Scientific Computing Center (NERSC), a U.S. Department of Energy Office of Science User Facility operated under Contract No. DE-AC02-05CH11231, as well as the U.S. Department of Defense High-Performance Supercomputer at ERDC.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

L. V. was partially supported by an AFRL STTR Phase I with Semicyber LLC contract number FA864919PA049. G. V., L. V. and M. S. were partially supported by an AFRL STTR Phase 2 with Semicyber LLC contract number FA864920P0419. A. K. R. was supported by DoE Grant Number DE-FG02-91ER-54109 and DE-SC0018090. The 2D simulations used resources of the National Energy Research Scientific Computing Center (NERSC), a U.S. Department of Energy Office of Science User Facility operated under Contract No. DE-AC02-05CH11231, as well as the U.S. Department of Defense High-Performance Supercomputer at ERDC.

Notes on contributors

George Vahala

George Vahala is a Professor of Physics at William & Mary, Williamsburg, VA. The author received his MS and PhD (Physics) from the University of Iowa and a BSc (Applied Math) from the University of Western Australia. The author's areas of research include turbulence modeling in plasma physics, wave propagation in tokamaks, lattice Boltzmann and quantum lattice algorithms for the study of solitons, quantum vortices in scalar and spinor BECs and in plasmas.

Min Soe

Min Soe is a Professor in the Department of Mathematics and Physical Sciences at Rogers State University, Claremore, OK. The author received his PhD (Physics) from William & Mary, MS (mathematics) from Hampton University, and BSc (Physics) from Rangoon University, Rangoon, Burma. The author's area of research spans magnetohydrodynamics and plasma physics, kinetic theory of turbulence modeling, mesoscale simulation methods and optimizations for large-scale parallel computing.

Linda Vahala

Linda Vahala is an Associate Professor of Electrical & Computer Engineering at Old Dominion University. Norfolk, VA. The author received her PhD (Physics) from Old Dominion University, MS (Physics) from the University of Iowa and BS (Phsyics) from the University of Illinois. The author's areas of research include cell phone transmission effects in aircraft fuselage, neural networks, wave propagation in tokamaks, lattice algorithms for nonlinear physics and for plasmas.

Abhay K. Ram

Abhay K. Ram is a Principal Research Scientist at the Plasma Science and Fusion Center, MIT, Cambridge, MA. He received his PhD from MIT and the BSc from the University of Nairobi, Kenya. His research encompasses a broad range of topics in wave propagation and scattering in plasma physics and controlled fusion.

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