Fully harnessing the vast design space enabled by metamaterials to control electromagnetic (EM) fields remains an open problem for researchers. Inverse-design techniques have shown to best exploit the degrees of freedom available in design, resulting in high-performing systems for wireless communications, sensing, and analog signal processing. Nonetheless, fundamental yet powerful properties of metamaterials are still to be revealed. In this paper, we introduce the concept of perfectly matched metamaterials (PMMs). PMMs are passive, inhomogeneous media that perform purely refractive field transformations under different excitations. Their advantage lies in their simplicity, reflectionless behavior, and suitability for both analytical and numerical design methods. Unlike transformation optics, PMM-based designs are devoid of coordinate transformations. Anisotropic unit cells are configured to control EM fields in a true-time delay manner. Simple analytical designs are reported, which demonstrate the broadband capability of PMM devices. Proposed PMMs may find application in wideband beamforming and analog computing, realizing functionalities such as spatial filtering and signal preprocessing.

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• Analog computation
• Electrical properties
• Electromagnetic field calculations
• Impedance
• Magnetic anisotropy
• Magneto-dielectric effect
• Metamaterials
• Optical & microwave phenomena
• Refraction
• Transformation optics
• Electromagnetic wave theory
• Methods in electromagnetism