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Optimal illumination and wave form design for imaging in random media
Liliana Borcea1, George Papanicolaou, Chrysoula Tsogka
1Computational and Applied Mathematics, MS 134, Rice University, 6100 Main Street, Houston, Texas 77005-1892, USA.
The Journal of the Acoustical Society of America
|February 6, 2008
Summary
This study introduces an adaptive coherent interferometric (CINT) imaging method to optimize illumination for array imaging. The adaptive CINT improves image resolution by balancing statistical stability and reducing blurring in cluttered environments.
Area of Science:
- Array imaging
- Signal processing
- Computational electromagnetics
Background:
- Selective array imaging of small, closely spaced scatterers in clutter presents significant challenges.
- Existing imaging algorithms often face trade-offs between image stability and resolution due to smoothing effects.
Purpose of the Study:
- To develop an optimal illumination strategy for selective array imaging.
- To enhance image resolution and reduce blurring in the presence of clutter.
Main Methods:
- Utilized the coherent interferometric (CINT) imaging functional, a smoothed version of travel-time migration.
- Developed an adaptive CINT algorithm to optimize the trade-off between statistical stability and blurring.
- Formulated optimal illumination as a constrained optimization problem based on adaptive CINT image quality.
Main Results:
- Adaptive CINT provides statistical stability while mitigating blurring.
- The proposed algorithm achieves optimal illumination and selectivity for array imaging.
- Numerical simulations demonstrate significant improvements in image resolution.
Conclusions:
- The adaptive CINT approach effectively addresses the challenges of imaging small, unresolved scatterers in clutter.
- Optimal illumination strategies derived from adaptive CINT lead to superior image resolution and selectivity.
- This method offers a robust solution for enhancing the quality of array imaging data.
