TY - GEN
T1 - Three Dimensional Time Domain Simulation of the Quantum Magnetic Susceptibility
AU - Houle, Jennifer
AU - Sullivan, Dennis
AU - Crowell, Ethan
AU - Mossman, Sean
AU - Kuzyk, Mark G.
N1 - Publisher Copyright:
© 2019 IEEE.
PY - 2019/5/14
Y1 - 2019/5/14
N2 - A way of using the Finite Difference Time Domain method is described to simulate the magnetic susceptibility of a quantum toroid. This simulation is based on the direct implementation of the time-dependent Schrödinger equation in three dimensions. First, the ground state eigenenergy and eigenstate are found. Next, the expectation value of the quantum magnetic dipole operator is calculated as a function of the applied magnetic field strength with a static magnetic field, and the results are compared with classical results. Then the magnetic dipole moment is calculated with a time-oscillating magnetic field applied. These expectation values are used to calculate the linear and nonlinear magnetic susceptibility of a torus, both without a grating and with a grating to increase irregularities in the shape, by repeating the calculations at various frequencies. The results are consistent with the expected results. This method can be used to calculate the quantum magnetic susceptibility of any structure in order to search for structures with better nonlinear properties.
AB - A way of using the Finite Difference Time Domain method is described to simulate the magnetic susceptibility of a quantum toroid. This simulation is based on the direct implementation of the time-dependent Schrödinger equation in three dimensions. First, the ground state eigenenergy and eigenstate are found. Next, the expectation value of the quantum magnetic dipole operator is calculated as a function of the applied magnetic field strength with a static magnetic field, and the results are compared with classical results. Then the magnetic dipole moment is calculated with a time-oscillating magnetic field applied. These expectation values are used to calculate the linear and nonlinear magnetic susceptibility of a torus, both without a grating and with a grating to increase irregularities in the shape, by repeating the calculations at various frequencies. The results are consistent with the expected results. This method can be used to calculate the quantum magnetic susceptibility of any structure in order to search for structures with better nonlinear properties.
KW - Computer simulation
KW - Finite difference methods
KW - Magnetic susceptibility
KW - Nonlinear optics
KW - Quantum mechanics
UR - http://www.scopus.com/inward/record.url?scp=85066778278&partnerID=8YFLogxK
UR - https://doi.org/10.1109/WMED.2019.8714141
U2 - 10.1109/WMED.2019.8714141
DO - 10.1109/WMED.2019.8714141
M3 - Conference contribution
AN - SCOPUS:85066778278
T3 - IEEE Workshop on Microelectronics and Electron Devices, WMED
SP - 27
EP - 31
BT - 2019 IEEE Workshop on Microelectronics and Electron Devices, WMED 2019
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 17th Annual IEEE Workshop on Microelectronics and Electron Devices, WMED 2019
Y2 - 26 April 2019
ER -