在先前本實驗室透過熱蒸鍍 （Thermal evaporation） 的方式，將鎵金屬鍍入高分子彈性基板 （PDMS） 中，並成功製作出成本低廉、製作方式快速且具有可調控性質的電漿子結構。在本實驗中我們通過調整PDMS固化劑的比例來控制蒸鍍進PDMS中的鎵奈米金屬顆粒的大小，並運用掃描式電子顯微鏡 （SEM） 與穿透式電子顯微鏡 （TEM） 來觀察此自主裝形成的奈米電漿子結構的表面輪廓及橫截面形貌。隨後使用紫外光-可見光光譜儀測量光-物質耦合的特徵光譜，並利用Hopfield Hamiltonian公式計算並模擬不同鎵奈米顆粒大小下的光-物質耦合色散曲線，確認奈米鎵金屬顆粒的集體共振特性，發現鎵奈米顆粒的集體耦合共振強度在直徑50 nm時拉比頻率(Rabi Frequency)為1.68 eV，歸一化耦合強度為0.49；直徑24 nm拉比頻率為1.1629 eV，歸一化耦合強度為0.32。兩種顆粒大小的歸一化耦合強度皆大於0.1，因此可確定其光-物質耦合強度皆位於超強耦合區間。隨後，透過自製的二維拉伸載台拉伸主劑與固化劑比例為8：1 的PDMS試片，發現當拉伸量超過143.1%時，由於x-y軸拉伸z軸壓縮，而非等距移動。造成強烈的退耦合現象，並在拉伸量152.1%時掉出超強耦合區間。;In our previous work, we developed a cost-effective and rapidly producible plasmonic structure with tunable properties by thermally evaporating gallium metal into a polymeric elastic substrate (PDMS). In this study, we controlled the size of gallium nanoparticles deposited in PDMS by adjusting the ratio of the PDMS curing agent. Scanning electron microscopy (SEM) and transmission electron microscopy (TEM) were employed to observe the surface and cross-sectional morphology of the self-assembled plasmonic nanostructures. Subsequently, UV-visible spectroscopy was used to measure the characteristic spectra of light-matter coupling. The Hopfield Hamiltonian formula was applied to calculate and simulate the light-matter coupling dispersion curves for different sizes of gallium NPs.We confirmed the collective resonance properties of the gallium nanoparticles, finding that the Rabi frequency for particles with a diameter of 50 nm was 1.68 eV with a normalized coupling strength of 0.49. For particles with a diameter of 24 nm, the Rabi frequency was 1.1629 eV with a normalized coupling strength of 0.32. The normalized coupling strengths for both particle sizes were greater than 0.1, indicating that the light-matter coupling strength lies within the ultrastrong coupling regime. Additionally, by stretching an 8:1 PDMS sample using a custom-made two-dimensional stretching platform, we observed a significant decoupling phenomenon when the stretch exceeded 143.1%. This decoupling occurred due to compression along the z-axis as the x-y axis stretched, resulting in a transition out of the ultrastrong coupling regime at 152.1% stretch
