[Numerical simulation of a new nonlinear iteration tomography based on deflection spectra]

Area of Science:

• Fluid dynamics
• Optical physics
• Computational imaging

Context:

• Flow field analysis is crucial in various scientific and engineering disciplines.
• Traditional tomography methods may have limitations in certain flow field applications.
• Developing advanced imaging techniques is essential for accurate fluid dynamics research.

Purpose:

• To introduce and validate a new deflection tomography technique for flow field reconstruction.
• To develop and implement a program system named Nonlinear Iteration Tomography Based on Deflection Spectra.
• To assess the accuracy and effectiveness of the proposed method using simulated data.

Summary:

• A novel deflection tomography approach was developed, utilizing optical refraction principles and tomography's mathematical significance.
• The system, Nonlinear Iteration Tomography Based on Deflection Spectra, employs a custom simple self-correlative algebraic reconstruction technique (SSART).
• Simulated complex flow fields were accurately reconstructed, with mean-square error (MSE) between 0.000 09-0.000 11 and peak error (PE) between 0.007-0.013 after 503 iterations.

Impact:

• The developed deflection tomography system demonstrates high accuracy in reconstructing complex flow fields.
• This technique provides a valuable tool for quantitative analysis in fluid dynamics research.
• The findings validate the effectiveness of SSART and deflection spectra in advanced flow field imaging.