Complex Envelope Approximate CN-PML Algorithm With Improved Absorption

Int J RF Mic Comp-Aid Eng

Jiang

et al. 2022

Self Cite

For an accurate and efficient calculation of fine geometry along a single direction in open regions, a bandpass one‐step hybrid implicit–explicit (HIE) procedure with promoted absorption is implemented in this study. More precisely, the proposed scheme is modified by integrating complex envelope (CE) method, higher order concept, perfectly matched layer (PML) formulation, and one‐step leapfrog HIE procedure. Furthermore, by introducing property variables, efficiency can be improved significantly. In addition, the proposed scheme not only overcomes the Courant–Friedrich–Levy stability condition but also solves the efficiency decrement problem of implicit algorithms. The effectiveness of the proposed algorithm is validated and demonstrated both numerically and experimentally. According to the results, we can conclude that the proposed scheme is advantageous in terms of enhanced accuracy, promoted absorption, improved efficiency for fine geometry along a single direction in bandpass open region problems.

Section: Numerical Results and Discussionmentioning

confidence: 99%

Section: Wave Scattering: Active Radar Cross Sectionmentioning

confidence: 99%

Section: Theoretical Formulationmentioning

confidence: 99%

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Bandpass leapfrog hybrid implicit–explicit procedure with promoted absorption for obtaining fine geometry in a single direction

Int J RF Mic Comp-Aid Eng

Jiang

et al. 2022

Self Cite

“…[35][36][37] Most of them and their bandpass forms are based on unconditionally stable schemes which are inefficient in structures with fine details along a single direction. [38][39][40][41] Alternative HIE algorithm is proposed with improved absorption for bandpass unmagnetized plasma simulation in open regions. The higher order concept is introduced into PML formulation for improving absorption.…”

Section: Introductionmentioning

confidence: 99%

Bandpass signal formulation with hybrid implicit‐explicit procedure in open regions for unmagnetized plasma

Wang²,

Int J RF Microw Comput Aided Eng

et al. 2021

Self Cite

The finite-difference time-domain (FDTD) algorithm shows disadvantages in bandpass signal simulation with fine structures along a single direction. The reason is that FDTD algorithm exists the Courant-Friedrichs-Levy (CFL) condition and bases on the lowpass-sampling theorem. Based on the numerical implementation, hybrid implicit-explicit procedure and complex envelope method are introduced. As a full-wave simulation method, higher order concept is incorporated into perfectly matched layer (PML) formulation for improving absorption at boundaries of the lattice. For unmagnetized plasma simulation, piecewise linear recursive convolution method is modified according to the bandpass signal. Through numerical example, the proposed algorithm shows considerable performance during the entire simulation which can be concluded from several aspects: (1) It takes advantages of higher order concept which shows enhanced absorption. ( 2) The proposed algorithm can overcome the CFL condition and maintain stability with the increment of time steps. (3) It shows considerable efficiency and accuracy in simulating structures with fine details along a single direction. (4) It can alleviate time increment problem among implicit algorithms with lower CFL numbers.

“…29 Due to the material-dependent PML formulation, existing schemes are unusable. 24,25,[30][31][32] Thus, the formulation must be modified for metamaterial simulation using the CN scheme.…”

mentioning

confidence: 99%

Narrow‐bandpass Crank–Nicolson algorithm with enhanced absorbing performance for metamaterials

Yue²,

Int J Numerical Modelling

et al. 2021

Self Cite

In this paper, an alternative algorithm for simulating metamaterials under a narrow bandpass condition is proposed. To calculate metamaterial regions with unique double negative property, the Drude model is used to solve the constitutive relationship. The effectiveness of the proposed algorithm over existing methods is demonstrated in terms of accuracy, efficiency, and simulation of absorption. For the numerical example, a metamaterial slab with a dipole antenna model is introduced. Compared with previous works, the numerical results indicate that the proposed algorithm is considerably efficient and simulates absorption. Most importantly, the algorithm can maintain stability and reduce simulation duration.