Role of Tunable Nonlinearities of Metamaterials on Tightly Focused Beam Generation

Abstract

MetaMaterials (MMs) offer strong tunability of optical properties, enabling diverse photonic applications. We investigate the role of tunable optical nonlinearities in the formation of Tightly Focused Beam (TFB). The system is described by a nonlinear Schrödinger equation, and modulation instability is analyzed both analytically and numerically to identify parameter regimes supporting localized beam formation. The dynamics of Gaussian and hollow Gaussian beams are further studied using numerical simulations, with emphasis on TFB generation. Results show that adjustable nonlinearities in MMs significantly enhance control over beam focusing characteristics. Notably, hollow Gaussian beams generate higher-intensity TFB clusters compared to standard Gaussian beams. These findings suggest potential applications in optical trapping and high-density data storage.