arrow
Volume 33, Issue 1
The Effect of the Width of the Incident Pulse to the Dielectric Transition Layer in the Scattering of an Electromagnetic Pulse — A Qubit Lattice Algorithm Simulation

George Vahala, Linda Vahala, Abhay K. Ram & Min Soe

Commun. Comput. Phys., 33 (2023), pp. 22-38.

Published online: 2023-02

Export citation
  • Abstract

The effect of the thickness of the dielectric boundary layer that connects a material of refractive index $n_1$ to another of index $n_2$ 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 the Maxwell equations to second-order in a small parameter $\epsilon.$ 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 $\sqrt{ n_2/n_1}.$ As the boundary layer becomes thicker one finds deviations away from the discontinuous Fresnel conditions and eventually one approaches the expected WKB 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 parameter $\epsilon → 1.$ On examining the pulse propagation in medium $n_1 , \epsilon$ corresponds to the dimensionless speed of the pulse (in lattice units).

  • AMS Subject Headings

52.35.g, 03.67.Ac

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{CiCP-33-22, author = {Vahala , GeorgeVahala , LindaRam , Abhay K. and Soe , Min}, title = {The Effect of the Width of the Incident Pulse to the Dielectric Transition Layer in the Scattering of an Electromagnetic Pulse — A Qubit Lattice Algorithm Simulation}, journal = {Communications in Computational Physics}, year = {2023}, volume = {33}, number = {1}, pages = {22--38}, abstract = {

The effect of the thickness of the dielectric boundary layer that connects a material of refractive index $n_1$ to another of index $n_2$ 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 the Maxwell equations to second-order in a small parameter $\epsilon.$ 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 $\sqrt{ n_2/n_1}.$ As the boundary layer becomes thicker one finds deviations away from the discontinuous Fresnel conditions and eventually one approaches the expected WKB 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 parameter $\epsilon → 1.$ On examining the pulse propagation in medium $n_1 , \epsilon$ corresponds to the dimensionless speed of the pulse (in lattice units).

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2022-0034}, url = {http://global-sci.org/intro/article_detail/cicp/21423.html} }
TY - JOUR T1 - The Effect of the Width of the Incident Pulse to the Dielectric Transition Layer in the Scattering of an Electromagnetic Pulse — A Qubit Lattice Algorithm Simulation AU - Vahala , George AU - Vahala , Linda AU - Ram , Abhay K. AU - Soe , Min JO - Communications in Computational Physics VL - 1 SP - 22 EP - 38 PY - 2023 DA - 2023/02 SN - 33 DO - http://doi.org/10.4208/cicp.OA-2022-0034 UR - https://global-sci.org/intro/article_detail/cicp/21423.html KW - Unitary algorithms, qubits, Maxwell equations, pulse propagation. AB -

The effect of the thickness of the dielectric boundary layer that connects a material of refractive index $n_1$ to another of index $n_2$ 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 the Maxwell equations to second-order in a small parameter $\epsilon.$ 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 $\sqrt{ n_2/n_1}.$ As the boundary layer becomes thicker one finds deviations away from the discontinuous Fresnel conditions and eventually one approaches the expected WKB 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 parameter $\epsilon → 1.$ On examining the pulse propagation in medium $n_1 , \epsilon$ corresponds to the dimensionless speed of the pulse (in lattice units).

George Vahala, Linda Vahala, Abhay K. Ram & Min Soe. (2023). The Effect of the Width of the Incident Pulse to the Dielectric Transition Layer in the Scattering of an Electromagnetic Pulse — A Qubit Lattice Algorithm Simulation. Communications in Computational Physics. 33 (1). 22-38. doi:10.4208/cicp.OA-2022-0034
Copy to clipboard
The citation has been copied to your clipboard