Synchronization of generally uncertain Markovian inertial neural networks with random connection weight strengths and image encryption application

This article focuses on the synchronization problem of delayed inertial neural networks (INNs) with generally uncertain Markovian jumping and their applications in image encryption. The random connection weight strengths and generally uncertain Markovian are discussed in the INNs model. Compared with most existing INNs models that have constant connection weight strengths, our model is more practical because connection weight strengths of INNs may randomly vary due to the external and internal environment and human factor. The delay-range-dependent synchronization conditions (DRDSCs) could be obtained by adopting the delay-product-term Lyapunov-Krasovskii functional (DPTLKF) and higher order polynomial-based relaxed inequality (HOPRII). In addition, the desired controllers are obtained by solving a set of linear matrix inequalities. Finally, two examples are shown to demonstrate the effectiveness of the proposed results

Supplementary document for On-chip Ultracompact Multimode Vortex Beam Emitter Based on Vertical Modes - 6054031.pdf

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Enhancing Photon Throughput of Miniaturized Passive Depth-Detection Cameras via Broadband Dispersion-Engineered Metalenses

With the continuous advancement of technology, there is a growing demand for depth-detection cameras with a small footprint and high photon throughput. Metalenses offer an excellent platform for implementing single-lens depth-detection cameras. However, the narrow operational bandwidth of the metalenses used in these miniaturized cameras significantly limits the photon throughput. Here, we propose a broadband dispersionless double-helix metalens (DL-DH metalens) to enhance the photon throughput and mitigate motion blur in miniaturized passive depth-detection cameras. Through engineering the dispersion, the DL-DH metalens was designed to achieve an irrotational double-helix point spread function (DH-PSF) over the broadband wavelength, thus eliminating the depth-detection error caused by chromatic aberration. The operational bandwidth of the fabricated metalens was expanded to 200 nm for obtaining higher-photon throughput, resulting in a 10-fold reduction in the exposure time compared with that observed for a narrow operational bandwidth of 30 nm. The sharp images could be captured by the DL-DH metalens to acquire accurate depth information, even in the presence of moving objects. Our proposed metalens provides a solution for enhancing the photon throughput in miniaturized passive depth-detection cameras operated in low-light environments