A Stochastic HIE-FDTD Algorithm for Modified Lorentz Model

Menglin Zhai; Shengling Jin; Rui Pei; Wei Bing Lu; Wen Yan Yin

doi:10.1109/LAWP.2025.3617979

A Stochastic HIE-FDTD Algorithm for Modified Lorentz Model

Menglin Zhai
, Shengling Jin
, Rui Pei^*
, Wei Bing Lu
, Wen Yan Yin

^*Corresponding author for this work

Xi'an Jiaotong-Liverpool University

Donghua University
Ministry of Education China
Donghua Univercity
Engineering Research Center of Digitized Textile and Fashion Technology
Southeast University, Nanjing
Zhejiang University

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

In this paper, a stochastic hybrid implicit-explicit finite-difference time-domain (S-HIE-FDTD) method is proposed for calculating electromagnetic wave propagation in random dispersive media described by modified Lorentz model. The stability condition of the proposed method is proven not to be restricted by the grid size in the direction of fine structures. Numerical results of a multilayer biological tissue model and frequency selective surface (FSS) show good accuracy and efficiency of the proposed S-HIE-FDTD method when compared to traditional stochastic FDTD and Monte Carlo method for problems with fine structures in one direction. This algorithm will have wide potential applications in biomedicine, electromagnetism, geophysical exploration, and other related fields.

Original language	English
Journal	IEEE Antennas and Wireless Propagation Letters
DOIs	https://doi.org/10.1109/LAWP.2025.3617979
Publication status	Accepted/In press - 2025

Keywords

auxiliary differential equation (ADE)
Monte Carlo
stochastic implicit-explicit finite-difference time-domain method (S-HIE-FDTD)
uncertainty quantification

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10.1109/LAWP.2025.3617979

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title = "A Stochastic HIE-FDTD Algorithm for Modified Lorentz Model",

abstract = "In this paper, a stochastic hybrid implicit-explicit finite-difference time-domain (S-HIE-FDTD) method is proposed for calculating electromagnetic wave propagation in random dispersive media described by modified Lorentz model. The stability condition of the proposed method is proven not to be restricted by the grid size in the direction of fine structures. Numerical results of a multilayer biological tissue model and frequency selective surface (FSS) show good accuracy and efficiency of the proposed S-HIE-FDTD method when compared to traditional stochastic FDTD and Monte Carlo method for problems with fine structures in one direction. This algorithm will have wide potential applications in biomedicine, electromagnetism, geophysical exploration, and other related fields.",

keywords = "auxiliary differential equation (ADE), Monte Carlo, stochastic implicit-explicit finite-difference time-domain method (S-HIE-FDTD), uncertainty quantification",

author = "Menglin Zhai and Shengling Jin and Rui Pei and Lu, \{Wei Bing\} and Yin, \{Wen Yan\}",

note = "Publisher Copyright: {\textcopyright} 2002-2011 IEEE.",

year = "2025",

doi = "10.1109/LAWP.2025.3617979",

language = "English",

journal = "IEEE Antennas and Wireless Propagation Letters",

issn = "1536-1225",

}

TY - JOUR

T1 - A Stochastic HIE-FDTD Algorithm for Modified Lorentz Model

AU - Zhai, Menglin

AU - Jin, Shengling

AU - Pei, Rui

AU - Lu, Wei Bing

AU - Yin, Wen Yan

PY - 2025

Y1 - 2025

N2 - In this paper, a stochastic hybrid implicit-explicit finite-difference time-domain (S-HIE-FDTD) method is proposed for calculating electromagnetic wave propagation in random dispersive media described by modified Lorentz model. The stability condition of the proposed method is proven not to be restricted by the grid size in the direction of fine structures. Numerical results of a multilayer biological tissue model and frequency selective surface (FSS) show good accuracy and efficiency of the proposed S-HIE-FDTD method when compared to traditional stochastic FDTD and Monte Carlo method for problems with fine structures in one direction. This algorithm will have wide potential applications in biomedicine, electromagnetism, geophysical exploration, and other related fields.

AB - In this paper, a stochastic hybrid implicit-explicit finite-difference time-domain (S-HIE-FDTD) method is proposed for calculating electromagnetic wave propagation in random dispersive media described by modified Lorentz model. The stability condition of the proposed method is proven not to be restricted by the grid size in the direction of fine structures. Numerical results of a multilayer biological tissue model and frequency selective surface (FSS) show good accuracy and efficiency of the proposed S-HIE-FDTD method when compared to traditional stochastic FDTD and Monte Carlo method for problems with fine structures in one direction. This algorithm will have wide potential applications in biomedicine, electromagnetism, geophysical exploration, and other related fields.

KW - auxiliary differential equation (ADE)

KW - Monte Carlo

KW - stochastic implicit-explicit finite-difference time-domain method (S-HIE-FDTD)

KW - uncertainty quantification

UR - https://www.scopus.com/pages/publications/105018846383

U2 - 10.1109/LAWP.2025.3617979

DO - 10.1109/LAWP.2025.3617979

M3 - Article

AN - SCOPUS:105018846383

SN - 1536-1225

JO - IEEE Antennas and Wireless Propagation Letters

JF - IEEE Antennas and Wireless Propagation Letters

ER -

A Stochastic HIE-FDTD Algorithm for Modified Lorentz Model

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Keywords

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