TY - JOUR
T1 - Well-Organized MZT-ME-PML Approach for THz BP Metasurface Implementations
AU - Li , Xue-Shi
AU - Feng , Naixing
AU - Zhang , Yuxian
JO - Communications in Computational Physics
VL - 2
SP - 588
EP - 605
PY - 2020
DA - 2020/12
SN - 29
DO - http://doi.org/10.4208/cicp.OA-2020-0021
UR - https://global-sci.org/intro/article_detail/cicp/18475.html
KW - Black phosphorous, complex-frequency-shifted perfectly matched layer, finite-difference time-domain, metasurface, matched Z-transform, matrix exponential.
AB - <p style="text-align: justify;">Via adopting the matrix exponential (ME) approach, efficient and tight
complex-frequency-shifted perfectly matched layer (CFS-PML) formulations using the
matched Z-transform (MZT) method are well organized and proposed to truncate the
monolayer black phosphorous (BP) metasurface problems in the infrared regime. Due
to introducing ME approach, the proposed MZT-ME-PML develops into the compact
first-order differential matrix form used to the circumvent convolution manipulations,
the variable replacements, or the formulation rearrangements during the mathematical
derivations. Furthermore, the MZT-ME-PML can not only flexibly truncate arbitrary
materials due to using the <strong>DB</strong> constitutive relation, but efficiently attenuate evanescent waves and reduce late-time reflections with the CFS scheme. Besides, in view of
the discretization effect on Terahertz (THz) BP metasurface implementation, the MZT
technique is added deliberately into this proposal in that it is more suitable for simulating fine structures. Finally, the ME-based proposal can maintain high absorption
when it comes closer to terminate finite-difference time-domain (FDTD) domains so
that smaller physical regions can be applied, leading to palpable improvements in
memory and CPU time. The three-dimensional (3D) numerical simulations on monolayer BP THz problems have been carried out to illustrate the validity and accuracy of
the proposal.</p>