<p>This paper presents an enhanced optical configuration for a single-pass quantitative Schlieren imaging system that achieves an optical resolution of approximately 4.6 <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12650_2025_1082_Article_IEq1.gif" Format="GIF" Height="12" Rendition="HTML" Resolution="72" Type="Linedraw" Width="29" /> </InlineMediaObject> <EquationSource Format="TEX">\(\mu m\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>μ</mi> <mi>m</mi> </mrow> </math></EquationSource> </InlineEquation>. The modified setup decouples sensitivity from resolution, enabling independent optimization of these critical parameters. Using this high-resolution system, quantitative analyses of supersonic jets emitted from sub-millimeter nozzles into the atmosphere were conducted, and shock waves induced by knife blades interacting with these jets in a vacuum environment were investigated. The fine resolution allows for detailed visualization of shock wave structures and accurate measurement of density gradients. The system’s effectiveness was demonstrated by examining the density gradient profile along the shock diamonds and mapping density profiles across shock waves. These density profiles were analyzed for their relevance in laser-plasma applications, including laser wakefield acceleration and the Analog Black Hole Evaporation via Laser (AnaBHEL) experiment. The results indicate that this system can help determine key parameters such as peak density, plateau length, and shock wave thickness—essential for optimizing electron acceleration and achieving specific plasma density profiles. Consequently, this high-resolution quantitative Schlieren imaging technique serves as a valuable tool for exploring complex fluid dynamics and supporting advancements in laser-plasma physics research.</p> Graphical abstract <p></p>

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Characterization of supersonic jet and shock wave with high-resolution quantitative Schlieren imaging

  • Yung-Kun Liu,
  • Ching-En Lin,
  • Jiwoo Nam,
  • Pisin Chen

摘要

This paper presents an enhanced optical configuration for a single-pass quantitative Schlieren imaging system that achieves an optical resolution of approximately 4.6 \(\mu m\) μ m . The modified setup decouples sensitivity from resolution, enabling independent optimization of these critical parameters. Using this high-resolution system, quantitative analyses of supersonic jets emitted from sub-millimeter nozzles into the atmosphere were conducted, and shock waves induced by knife blades interacting with these jets in a vacuum environment were investigated. The fine resolution allows for detailed visualization of shock wave structures and accurate measurement of density gradients. The system’s effectiveness was demonstrated by examining the density gradient profile along the shock diamonds and mapping density profiles across shock waves. These density profiles were analyzed for their relevance in laser-plasma applications, including laser wakefield acceleration and the Analog Black Hole Evaporation via Laser (AnaBHEL) experiment. The results indicate that this system can help determine key parameters such as peak density, plateau length, and shock wave thickness—essential for optimizing electron acceleration and achieving specific plasma density profiles. Consequently, this high-resolution quantitative Schlieren imaging technique serves as a valuable tool for exploring complex fluid dynamics and supporting advancements in laser-plasma physics research.

Graphical abstract