Analytical solutions for full-field radiations of magnetoelectric antennas with nonlinear magnetoelastic coupling

考虑非线性磁-弹耦合的磁电天线近/远场辐射解析解

This paper presents analytical solutions for full-field radiation in magnetoelectric(ME)antennas,considering a fully magnetoelastic coupled constitutive relation.A nonlinear converse ME coupling model is established,incorporating mechanical,electric,and magnetic variables with generalized Maxwell equations.This model emphasizes the essence of ME antennas,where radiation is achieved through strain/stress-mediated coupling between different phases.The magnetic flux density and electric displacement obtained from the model are used as sources to solve the full-field radiations of ME antennas.The proposed model is validated through existing experiments and simulations,demonstrating that the radiation performance of ME antennas is strongly influenced by nonlinear magneto-elastic coupling.The material parameters and magnetic bias significantly impact the magnetic flux density and far-field radiation due to the nonlinear magnetization process.The study reveals the mechanisms behind enhanced working bandwidth and frequency tuning by examining the frequency response of the radiation impedance with material parameters.By adjusting the initial magnetization rate,saturation magnetostriction,and saturation magnetization,the radiation efficiency/gain can be increased by 340%,108%,and 112%respectively.This model enhances our understanding of the full-field radiation of ME antennas and provides a foundation for designing tunable ME antennas.

本文提出了考虑磁-弹耦合本构关系的磁电天线辐射场解析解.利用与磁场和力学场相关的非线性等效参数,推导非线性磁-力-电控制方程,进而发展出非线性逆磁电耦合模型.该模型强调了磁电天线的本质,即辐射是通过不同相位之间的应变/应力介导的耦合来实现的.接着,将获得的磁通密度和电位移作为求解磁电天线全场辐射的源,实现力学量、电学量和磁学量与广义麦克斯韦方程组中变量的耦合.通过已有实验数据和仿真结果验证了所提出的模型.结果表明,磁电天线的辐射性能在很大程度上取决于非线性磁-弹耦合.由于非线性磁化过程,磁通密度和远场辐射随材料参数和偏磁场而显著变化.通过用材料参数调节辐射阻抗的频率响应,揭示了提高工作带宽和频率调谐的机制.通过调整初始磁化率、饱和磁致伸缩和饱和磁化,辐射效率/增益分别提高了340%,108%和112%.本文模型有助于理解磁电天线的全场辐射,为设计可调谐磁电天线提供依据.