Abstract. We propose a mathematical model of multiple interference phenomena occurring inside the dielectric cavity of the metasurface absorber. Subsequently, it derived the expressions for electric and magnetic fields within the structure. The model enables one to mathematically interpret wave propagation, standing wave formation, and absorption in terms of electric and magnetic fields. We also discussed the effect of change in the polarization angle of the incident electromagnetic wave on the standing wave pattern and surface-current orientation. The study reveals that the theory is equally applicable for transverse electric and transverse magnetic polarized incident waves. All the mathematical aspects of the theory have been analytically established through the validation of simulation data. It has been found that the theory is in good agreement with the analytically obtained results.

中文翻译：

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超表面吸收器中波传播、驻波共振和吸收的数学解释

摘要。我们提出了在超表面吸收器的介电腔内发生的多重干涉现象的数学模型。随后，它推导出了结构内电场和磁场的表达式。该模型使人们能够从电场和磁场的角度对波传播、驻波形成和吸收进行数学解释。我们还讨论了入射电磁波极化角的变化对驻波模式和表面电流方向的影响。研究表明，该理论同样适用于横向电和横向磁极化入射波。该理论的所有数学方面都已通过仿真数据的验证通过分析建立。