The effect of the thickness of the dielectric boundary layer that connects amaterial of refractive index n1 to another of index n2 is considered for the propagation of an electromagnetic pulse.A qubit lattice algorith...The effect of the thickness of the dielectric boundary layer that connects amaterial of refractive index n1 to another of index n2 is considered for the propagation of an electromagnetic pulse.A qubit lattice algorithm(QLA),which consists of a specially chosen non-commuting sequence of collision and streaming operators acting on a basis set of qubits,is theoretically determined that recovers theMaxwell equations to second-order in a small parameterǫ.For very thin but continuous boundary layer the scattering properties of the pulse mimics that found from the Fresnel discontinuous jump conditions for a plane wave-except that the transmission to incident amplitudes are augmented by a factor of√n2/n1.As the boundary layer becomes thicker one finds deviations away from the discontinuous Fresnel conditions and eventually one approaches the expectedWKB limit.However there is found a small but unusual dip in part of the transmitted pulse that persists in time.Computationally,the QLA simulations still recover the solutions to Maxwell equations even when this parameterǫ→1.On examining the pulse propagation in medium n1,ǫcorresponds to the dimensionless speed of the pulse(in lattice units).展开更多
基金supported by Department of Energy(Grants DE-SC0021647,DE-FG02-91ER-54109,DE-SC0021651,DE-SC0021857,DE-SC0021653).
文摘The effect of the thickness of the dielectric boundary layer that connects amaterial of refractive index n1 to another of index n2 is considered for the propagation of an electromagnetic pulse.A qubit lattice algorithm(QLA),which consists of a specially chosen non-commuting sequence of collision and streaming operators acting on a basis set of qubits,is theoretically determined that recovers theMaxwell equations to second-order in a small parameterǫ.For very thin but continuous boundary layer the scattering properties of the pulse mimics that found from the Fresnel discontinuous jump conditions for a plane wave-except that the transmission to incident amplitudes are augmented by a factor of√n2/n1.As the boundary layer becomes thicker one finds deviations away from the discontinuous Fresnel conditions and eventually one approaches the expectedWKB limit.However there is found a small but unusual dip in part of the transmitted pulse that persists in time.Computationally,the QLA simulations still recover the solutions to Maxwell equations even when this parameterǫ→1.On examining the pulse propagation in medium n1,ǫcorresponds to the dimensionless speed of the pulse(in lattice units).
