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Published on: June 27, 2013
Phase retrieval from intensity-only data by relative entropy minimization.
1General Dynamics Information Technology, 5100 Springfield Pike, Suite 509, Dayton, Ohio 45431, USA. ross.deming@hanscom.af.mil
Summary
A new recursive algorithm estimates wave field amplitude and phase from intensity data. This method, minimizing relative entropy, shows improved robustness and performance with noisy data compared to existing techniques.
Area of Science:
- Wave propagation and optics
- Computational physics
- Signal processing
Background:
- Phase retrieval is crucial for reconstructing wave fields.
- Existing methods like Misell's Gerchberg-Saxton algorithm have limitations with noisy data.
- Intensity-only measurements are often more accessible than full field data.
Purpose of the Study:
- To introduce a novel recursive algorithm for wave field phase retrieval.
- To compare the new algorithm's performance against established methods.
- To evaluate the algorithm's robustness and effectiveness with low signal-to-noise ratio data.
Main Methods:
- A recursive algorithm is developed for amplitude and phase estimation.
- The problem is formulated as a nonlinear optimization task.
- Relative entropy (Kullback-Leibler divergence) is minimized between measured and reconstructed intensities.
Main Results:
- The new algorithm demonstrates a computational structure similar to Misell's approach.
- Simulated noisy data indicate enhanced robustness compared to Misell's method.
- The algorithm yields superior results with low signal-to-noise ratio data.
Conclusions:
- The presented recursive algorithm offers a promising alternative for phase retrieval.
- It shows improved performance and robustness, particularly in challenging noisy conditions.
- Further examination of the algorithm's convergence properties is warranted.
