Formation mechanism and application of phononic band gaps due to Fano effects

2023 Fiscal Year Final Research Report

• Project/Area Number: 20K05341
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Review Section: Basic Section 29030:Applied condensed matter physics-related
• Research Institution: Hokkaido University
• Principal Investigator: Mizuno Seiji 北海道大学, 工学研究院, 講師 (90222322)
• Project Period (FY): 2020-04-01 – 2024-03-31
• Keywords: フォノニック結晶 / ファノ共鳴

Outline of Final Research Achievements

For solid-liquid superlattices, where non-Bragg gaps occur, we determined the imaginary part of the Bloch wave vector in the band gap as a function of frequency. We demonstrated that the gaps in this system can be classified into Bragg gaps and gaps based on Fano resonance. Furthermore, we theoretically elucidated the formation mechanism of the latter gaps. Additionally, we derived analytical expressions for the resonance profile in the mechanical system of coupled oscillators subjected to periodic external forces. Particularly, by expressing the Fano parameter as a function of known parameters, we provided a foundation for controlling the resonance profile.

Free Research Field

応用物理学

Academic Significance and Societal Importance of the Research Achievements

固体液体超格子における非ブラッグギャップの形成メカニズムをファノ共鳴の観点から理論的に解明することは、ファノ効果に基づくギャップとブラッグギャップの定性的違いを明確に理解するという基礎学問としての意義がある。また、ファノ共鳴に起因したギャップにおいては、系が数周期の有限でありながら、ギャップとバンドの間の急峻な境界が現れるため、この特性を利用した、高感度センサー、スイッチング素子等のデバイスへの応用へとつながる。