High-Fidelity Harmonic Generation in Optical Micro-Resonators Using BFGS Algorithm

• Published in: Micromachines (Basel) Vol. 11; no. 7; p. 686
• Main Authors: Aşırım, Özüm Emre, Yolalmaz, Alim, Kuzuoğlu, Mustafa
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 15.07.2020; MDPI
• Subjects: Ablation; Accuracy; Algorithms; Antennas; Efficiency; Gamma rays; Generators; harmonic generation; Harmonic generations; Harmonic generators; Linear programming; micro-resonator; non-linear programming; non-linear wave mixing; Nonlinear programming; Optimization; Partial differential equations; Propagation; Resonators; Studies; Ultraviolet radiation
• ISSN: 2072-666X; 2072-666X
• DOI: 10.3390/mi11070686

Harmonic generation is an attractive research field that finds a variety of application areas. However, harmonic generation within a medium of micron-scale interaction length limits the magnitude of nonlinear coupling and leads to poor harmonic generation efficiency. In this study, we present a constrained non-linear programming approach based on the Quasi-Newton Broyden–Fletcher–Goldfarb–Shanno (BFGS) algorithm to obtain high-fidelity harmonic generation in optical micro-resonators. Using this approach, one can achieve high-intensity harmonic generation in a simple Fabry–Perot type optical micro-resonator. The generation of super-intense harmonics at a typical ultraviolet (UV)-ablation frequency of 820 THz and at pure yellow-light (515 THz) is investigated in particular. Moreover, we achieved more than 98% accuracy compared to well-known theoretical results. Our approach enables the design of highly efficient microscale harmonic generators to be used in integrated photonic devices.