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We give a discussion on the evolution properties of the finite array Airy beams (FAAB) in the misaligned slab system constituting of right handed materials (RHMs) and double negative materials (DNMs) on the basis of the light transfer matrix and the generalized Huygens-Fresnel integral equation. The beam intensity distribution on several observation plane and its side transmission view are investigated numerically with different misaligned parameters, which is beneficial to precise discussion of this beam transmitting in the misaligned optical model because the mishap is inevitable more or less in practical optical system design and manufacture. Moreover, we theoretically put forward a kind of Fabry-Perot resonator to detect Na2CO3 solution concentration based on the derived misaligned conclusions, the influence of curvature radius on the emerging beam’s evolution characteristics is discussed, the empirical formulae between FAAB’s normalized peak intensity and Na2CO3 solution concentration are derived by using the fit linear analysis in misaligned and aligned sensors, respectively. It is hoped that the related method and design philosophy can be applied in the environmental monitoring, medical care and public health chemical synthesis and so on.

We presented an investigation on the evolution properties of the finite Airy beam array (FAiBA) in metamaterial’s slab system constituting of right-handed materials and double negative materials combining the generalized Huygens–Fresnel integral equation and the light transfer matrix. The beam intensity distribution on the receiver plane and its side transmission view on the (z, x) plane are demonstrated numerically with several array numbers. Moreover, we put forward a kind of folded resonator to detect glucose solution density based on the derived principle and conclusion; the influence of curvature radius on the emerging beam’s evolution characteristics is discussed, and the empirical formula between FAiBA’s received power and glucose solution density is derived by using the fit linear analysis. We hope that the present concept and the derived conclusions can be employed for monitoring in the environmental field, as well as the biomedical and food safety detection.

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