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This manuscript introduces a novel wideband metamaterial absorber targeting the 2 GHz to 20 GHz range. The design employs a chaos theory, specifically the Chen attractor system, to generate fractal-structured patterns that enhance electromagnetic absorption. These patterns exhibit multi-resonant behaviour, providing superior efficiency compared to conventional periodic designs. The absorber is further optimized with a Magtrex 555 substrate (0.51 mm thick), known for its frequency-dependent permittivity and permeability, which amplifies performance. This combination of chaotic structures and optimized substrate achieves over 90% absorption efficiency across a broad frequency range. Comprehensive simulations and parametric studies validate the absorber effectiveness, significantly improving bandwidth and absorption capacity. The design is well-suited for electromagnetic shielding, energy harvesting, and stealth technology applications. Future works will emphasize real-world performance testing to validate practical applications in wireless communication, sensing technologies, and defence. By combining chaotic dynamics with substrate optimization, this work contributes significantly to next-generation electromagnetic absorbers, offering enhanced broadband absorption for various applications.
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