Compressive phase space tomography
Event details
| Date | 17.11.2011 |
| Hour | 12:30 |
| Speaker | George Barbastathis, MIT & SMART Centre, Singapore |
| Location | |
| Category | Conferences - Seminars |
Correlation functions completely characterize many physical quantities, e.g. the state of coherence of classical stationary optical fields and the wavefunction of quantum systems with conservative Hamiltonian. For classical Optical fields, the measurement can be done either by interferometry of by capturing a “stack” of intensity images while moving the camera along the optical axis. In this talk, we concentrate on the interpretation of the stack of intensity measurements using two methods: the transport-of-intensity equation and the phase space (also known as Wigner distribution function.) In the second case, the estimation problem becomes equivalent to tomography and thus is subject to the same artifacts due to sparse and non-¬‐uniform sampling in Fourier (ambiguity) space. We have shown experimentally that the undersampling problems are significantly improved using a compressive reconstruction with the coherent mode decomposition as set of basic functions and a low-¬‐entropy prior on the field. The mutual intensities obtained are physically correct and provide good agreement with estimates obtained independently using the van Cittert – Zernike theorem. The experiment was completely classical, but it does suggest that a directly analogous quantum implementation should be equally accurate.
Practical information
- General public
- Free
Contact
- carole berthet