Advanced optical materials: catenary function meets electromagnetic wave

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catenary functions in subwavelength Electromagnetics: firstly the hyperbolic cosine form of catenary function is a special solution of wave equation the catenary light field generated by the coupling of near-field evanescent wave can compensate the attenuation of high spatial frequency evanescent wave which has been applied in super-resolution imaging. Secondly the sub wavelength structure with catenary shape is one of the ideal choices for generating geometric phase. It has been used to construct various functional hypersurfaces such as monolithic hyperlens with large field of view perfect orbital angular momentum Bessel beam Airy beam generator. In addition it is found that the dispersion curves of many capacitive superstructures have the characteristics of equal intensity catenary function which provides a mathematical physical model for predicting the optical electromagnetic properties of superstructures.
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