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Bandlimited Distortionless Material Design by an Approximation of the Heaviside Condition
IEEE Transactions on Electromagnetic Compatibility ( IF 2.1 ) Pub Date : 2020-04-01 , DOI: 10.1109/temc.2019.2910761
Andreas Hartman , Giulio Antonini , Jonas Ekman , Maria De Lauretis

The distortionless propagation of signals in a medium offers a way to preserve the signal integrity. There exists a condition for distortionless propagation on a transmission line known as the Heaviside condition. This paper proposes the use of the Heaviside condition to characterize and design magneto-dielectric materials that provide distortionless propagation in a specified finite frequency band. Plane wave propagation in a magneto-dielectric material is modeled by a transmission line model, thereby assuming transverse electromagnetic mode propagation. Then, the Heaviside condition is employed to derive the frequency-dependent permittivity and permeability functions of the material in rational form, so they satisfy the condition in a specified frequency interval. A procedure to design such materials is described. A numerical example of the design process is provided and an illustration of the effectiveness of modeled material in fulfilling the Heaviside condition in a specified frequency interval both in the time and frequency domains is given, indicating the validity of the approximation. The design procedure is as such a suitable preliminary design guide for deriving a realizable description of a magnetodielectric, exhibiting the distortionless property in the desired frequency interval, with certain specified requirements put on the loss, or the permeability and permittivity values satisfied. The obtained results may initiate further investigations into the bandwidth restrictions of the approximation, on closed-form design solutions, and the practical realization of such materials.

中文翻译:

基于重边条件近似​​的带限无失真材料设计

信号在介质中的无失真传播提供了一种保持信号完整性的方法。在传输线上存在无失真传播的条件,称为 Heaviside 条件。本文建议使用 Heaviside 条件来表征和设计在指定的有限频带内提供无失真传播的磁电介质材料。磁介电材料中的平面波传播由传输线模型建模,从而假设横向电磁模式传播。然后,利用Heaviside条件以有理形式导出材料的频率相关介电常数和磁导率函数,使它们在指定的频率区间内满足条件。描述了设计此类材料的过程。提供了设计过程的数值示例,并给出了建模材料在时域和频域中在指定频率间隔内满足 Heaviside 条件的有效性的说明,表明了近似的有效性。设计程序是这样一个合适的初步设计指南,用于推导出磁电介质的可实现描述,在所需的频率区间内表现出无失真特性,对损耗或满足磁导率和介电常数值提出某些特定要求。获得的结果可能会引发对近似的带宽限制、封闭形式设计解决方案以及此类材料的实际实现的进一步研究。
更新日期:2020-04-01
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