Enhancement of second harmonic generation in a doubly resonant metamaterial
Tetsuo Kanazawa, Yasuhiro Tamayama, Toshihiro Nakanishi, and Masao, Kitano

TL;DR
This paper demonstrates that a doubly resonant metamaterial significantly enhances second harmonic generation by resonating at both fundamental and SH frequencies, achieving 4.6 times greater efficiency than singly resonant structures.
Contribution
It introduces a novel doubly resonant metamaterial design that simultaneously resonates at fundamental and SH frequencies to boost nonlinear optical processes.
Findings
SH generation is 4.6 times larger than in singly resonant metamaterials
Resonance at both fundamental and SH frequencies enhances nonlinear response
Doubly resonant design improves efficiency of second harmonic generation
Abstract
We investigate second harmonic (SH) generation in a doubly resonant metamaterial. We show that SH generation can be enhanced when the resonant condition is satisfied for the SH frequency as well as for the fundamental frequency. A unit cell of the doubly resonant metamaterial consists of two coupled resonators, one of which resonates at the fundamental frequency, whereas the other resonates around the SH frequency. We observe that the SH generation in the doubly resonant metamaterial is 4.6 times as large as that in a singly resonant metamaterial.
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