In this work,we develop a novel computational method,referred to as SCT-Z-FDTD,which integrates the Z-transform finite-difference time-domain algorithm with a scale-compressed technique incorporating wave vectors.The ...In this work,we develop a novel computational method,referred to as SCT-Z-FDTD,which integrates the Z-transform finite-difference time-domain algorithm with a scale-compressed technique incorporating wave vectors.The proposed approach fa-cilitates accurate modeling of electromagnetic wave propagation through multi-layered anisotropic media,enabling precise evalua-tion of reflection and refraction coefficients over short time intervals.On first place,considering constitutive relationship between electromagnetic fields(E,H)and fluxes(D,B),Z-transform is employed to the anisotropic Maxwell’s curl equations for completing discrete-time form,and then the transverse wave vectors are exploited along a single direction to design the electromagnetic numerical differential process.After that,with the analysis corresponding flow chart,the plane waves are employed with different modes such as transverse electromagnetic,transverse electric,and transverse magnetic to detect the specific propagation.To further verify lower memory and higher efficiency,we select various multi-layered examples with anisotropies for executing the proposed method.Compared with the popular commercial software COMSOL,those data from multi-layered computation are quite consistent with the approximate trend the 2nd-order error convergence.展开更多
In this paper,the temperature distribution in the multi-layer of the skin is studied when the skin surface is subjected to most generalized boundary condition.Our skin model consists of three layers known as the epide...In this paper,the temperature distribution in the multi-layer of the skin is studied when the skin surface is subjected to most generalized boundary condition.Our skin model consists of three layers known as the epidermis,dermis,and subcutaneous layers.All layers of skin are assumed to be connected with point of interface condition and taking the barrier in between each of the two layers by symmetric flux condition and analyzing each layer separately.The classical Fourier and non-Fourier(DPL)models are extended to analyze the behavior of heat transfer in the multi-layer of the skin.The Laplace transform technique is used to derive analytical solutions for the multi-layer of skin models.The effects of the variability of different parameters such as relaxation time,layer thickness,and different types of boundary conditions on the behavior of temperature distribution in the multi-layer of skin are analyzed and discussed in detail.All the effects are shown graphically.It has been observed that during temperature distribution in the multi-layer of skin,the measurement of skin damage is less on the DPL model(rq>Tt)in comparison to the classical Fourier model.展开更多
基金supported by the National Natural Science Foundation of China(NSFC)(Grant No.62101333)the Program for Excellent Scientific and Innovation Research Team(Grant No.2022AH010002)the 2024 Anhui Province University Science and Engineering Teachers’Internship Program in Enterprises(Grant No.2024jsqygz02).
文摘In this work,we develop a novel computational method,referred to as SCT-Z-FDTD,which integrates the Z-transform finite-difference time-domain algorithm with a scale-compressed technique incorporating wave vectors.The proposed approach fa-cilitates accurate modeling of electromagnetic wave propagation through multi-layered anisotropic media,enabling precise evalua-tion of reflection and refraction coefficients over short time intervals.On first place,considering constitutive relationship between electromagnetic fields(E,H)and fluxes(D,B),Z-transform is employed to the anisotropic Maxwell’s curl equations for completing discrete-time form,and then the transverse wave vectors are exploited along a single direction to design the electromagnetic numerical differential process.After that,with the analysis corresponding flow chart,the plane waves are employed with different modes such as transverse electromagnetic,transverse electric,and transverse magnetic to detect the specific propagation.To further verify lower memory and higher efficiency,we select various multi-layered examples with anisotropies for executing the proposed method.Compared with the popular commercial software COMSOL,those data from multi-layered computation are quite consistent with the approximate trend the 2nd-order error convergence.
文摘In this paper,the temperature distribution in the multi-layer of the skin is studied when the skin surface is subjected to most generalized boundary condition.Our skin model consists of three layers known as the epidermis,dermis,and subcutaneous layers.All layers of skin are assumed to be connected with point of interface condition and taking the barrier in between each of the two layers by symmetric flux condition and analyzing each layer separately.The classical Fourier and non-Fourier(DPL)models are extended to analyze the behavior of heat transfer in the multi-layer of the skin.The Laplace transform technique is used to derive analytical solutions for the multi-layer of skin models.The effects of the variability of different parameters such as relaxation time,layer thickness,and different types of boundary conditions on the behavior of temperature distribution in the multi-layer of skin are analyzed and discussed in detail.All the effects are shown graphically.It has been observed that during temperature distribution in the multi-layer of skin,the measurement of skin damage is less on the DPL model(rq>Tt)in comparison to the classical Fourier model.
