Narrow-Bandpass One-Step Leapfrog Hybrid Implicit-Explicit Algorithm with Convolutional Boundary Condition for Its Applications in Sensors

Abstract

A large number of sensors work in the narrow bandpass circumstance. Meanwhile, some of them hold fine details merely along one and two dimensions. In order to efficiently simulate these sensors and devices, the one-step leapfrog hybrid implicit-explicit (HIE) algorithm with the complex envelope (CE) method and absorbing boundary condition is proposed in the narrow bandpass circumstance. To be more precise, absorbing boundary condition is implemented by the higher order convolutional perfectly matched layer (CPML) formulation to further enhance the absorption during the entire simulation. Numerical examples and their experiments are carried out to further illustrate the effectiveness of the proposed algorithm. The results show considerable agreement with the experiment and theory resolution. The relationship between the time step and mesh size can break the Courant–Friedrichs–Levy condition which indicates the physical size/selection mesh size. Such a condition indicates that the proposed algorithm behaviors are considerably accurate due to the rational choice in discretized mesh. It also shows decrement in simulation duration and memory consumption compared with the other algorithms. In addition, absorption performance can be improved by employing the proposed higher order CPML algorithm during the whole simulation.

Analysis of Scattering Characteristics Based on Crank-Nicolson Direct-Splitting Algorithm for Remote Sensing Problems

“…The convolutional PML (CPML) can be regarded as an efficient way [41]. Similarly, higher order CPML which holds the advantages of enhanced absorption is proposed in explicit scheme and halfimplicit schemes [42][43][44]. However, these algorithms cannot be employed into the fully-implicit algorithm.…”

Accurate Nonstandard Path Integral Models for Arbitrary Dielectric Boundaries in 2-D NS-FDTD Domains

“…Therefore, the discrete space treatment is unsuitable for realistic problems with arbitrarily shaped objects and fine details, not aligned to the grid axes [4,5,[7][8][9][10][11], owing to the use of the insufficient staircase approximation on orthogonal grids in an effort to model the realistic object under study. Such structures can be, frequently, encountered in various applications, ranging from electromagnetic compatibility configurations [12][13][14] and microwave devices [15][16][17] to antennas [18][19][20], optical arrangements [21][22][23][24][25], and designs of low observability, including RCS scenarios. To circumvent such a drawback, a path integral (PI) model, based on the path integral form of Ampere's and Faraday's laws, has been previously presented [26][27][28].…”

Domain Decomposition Hybrid Implicit–Explicit Algorithm with Higher-Order Perfectly Matched Layer Formulation for Electrical Performance Evaluation under Low-Pressure Discharge Phenomenon

“…Therefore, the two main issues are precisely simulating the plasma characteristics and electronic behavior. The full-wave simulation method can be immediately connected to the computational fluid dynamics (CFD) method to derive the plasma parameters [10]. As of right now, a few techniques for simulating anisotropic magnetized plasma have been established based on the finite-difference time-domain (FDTD) algorithm, which exhibits notable accuracy and efficiency [11][12][13][14].…”