Topological trivial and nontrivial properties in electromagnetic metamaterials

The review explores topologically trivial and nontrivial properties in electromagnetic metamaterials, focusing on their design principles and applications. Electromagnetic metamaterials, known for their ability to manipulate electromagnetic waves through artificial structures, have significantly advanced due to topological concepts. Topologically trivial metamaterials rely on traditional unit structures like resonators, employing geometric patterns to achieve desired wave control, such as absorption and polarization. In contrast, topologically nontrivial metamaterials utilize periodic arrangement and unique unit cells, leading to robust edge states and waveguiding properties protected against defects. Recent developments, including Möbius strip-inspired designs, demonstrate how these topological effects enhance electromagnetic functionality. The review emphasizes that the fusion of topology with metamaterials opens avenues for advanced applications in optics, communications, and quantum computing unlock new functionalities in various technological fields.