Abstract

Recent advances in metamaterials have revealed the possibility of overcoming the diffraction limit, opening the door for high-density-integration photonic devices including waveguides and cavities. Here we investigate the condition required to have air cavities within a uniaxial metamaterial clad waveguide. Our work reveals that air-cavity sizes much smaller than the operating wavelength ($D^{2}h/{\lambda }^3=1/({35}^2\times 100)$) are achievable under specific cladding material conditions, which could have a great impact on the miniaturization of electromagnetic devices. Harnessing metamaterials enables engineering of the required condition at a desired wavelength, unlike plasmonic cavities where the condition is reached at a specific wavelength.

© 2016 Optical Society of America

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