Our research covers optics, signal processing, computer algorithms and system design. Optical waves can be treated in a signal processing framework, where optical beams are represented as complex fields split up into spatial frequencies and temporal frequencies (color). Coherence is the 2nd order correlation function of a statistical optical beam. We aim to measure and control all of these parameters for better imaging systems.

Phase Imagingphase is important

Light is a wave, having both an amplitude and phase. Our eyes and cameras, however, only see real values (i.e. intensity), so cannot measure phase directly. Phase is important, especially in biological imaging, where cells are typically transparent (i.e. invisible) but yet impose phase delays. When we can measure the phase delays, we get back important shape and density maps. We develop methods for phase imaging from simple experimental setups and efficient algorithms which can be implemented in optics, X-ray, neutron imaging, etc.

Phase from chromatic aberrations: L. Waller, S. Kou, C. Sheppard, G. Barbastathis, Optics Express 18(22), 22817-22825 (2010).
Phase from through-focus: L. Waller, M. Tsang, S. Ponda, G. Barbastathis, Opt. Express 19 (2011).
Z. Jingshan, J Dauwels, M. A. Vasquez, L. Waller, Optics Express 21(15), 18125-18137 (2013).
Z. Jingshan, L. Tian, J. Dauwels, L. Waller, Biomedical Optics Express 6(1), 257-265 (2014)
Applications in lithography: A. Shanker, M. Sczyrba, B. Connolly, F. Kalk, A. Neureuther, L. Waller, in SPIE Photomask Technology (2013).
A. Shanker, M. Sczyrba, B. Connolly, F. Kalk, A. Neureuther, L. Waller, in SPIE Advanced Lithography paper 9052-49, February 2014, San Jose, CA.
R. Claus, A. Neureuther, P. Naulleau, L. Waller, Optics Express 23(20), 26672-26682 (2015).

LED array microscope

We work on a new type of microscope hack, where the lamp of a regular microscope is replaced with an LED array, allowing many new capabilities. We do brightfield, darkfield, phase contrast, super-resolution or 3D phase imaging, all by computational illumination tricks. Click the photo to the right to see high resolution phase images across a huge field of view.

L. Tian, Z. Liu, L. Yeh, M. Chen, Z. Jingshan, L. Waller, Optica 2(10), 904-911 (2015).
L. Tian, X. Li, K. Ramchandran, L. Waller, Biomedical Optics Express 5(7), 2376-2389 (2014).
L. Tian, J. Wang, L. Waller, Optics Letters, 39(5), 1326-1329 (2014).

Fourier ptychography algorithms

The algorithms behind achieving large field-of–view and high resolution are rooted in phase retrieval. We use large-scale nonlinear non-convex optimization, much like neural networks in machine learning, but we have new challenges for imaging applications.

Yeh, J. Dong, Z. Jingshan, L. Tian, M. Chen, G. Tang, M. Soltanolkotabi, L. Waller, Optics Express 23(26), 33212-33238 (2015).


Computational CellScope

In collaboration with the CellScope group at Berkeley (Fletcher Lab), we work on computational illumination and algorithms  for cell-phone based microscopes – in particular, the CellScope.

Phillips, M. D’Ambrosio, L. Tian, J. Rulison, H. Patel, N. Sadras, A. Gande, N. Switz, D. Fletcher, L. Waller, PLOS ONE (2015).


10x, NA~0.25, 10 Hz, Elegans (Dillin lab)

Real-time multi-mode microscope system

We show here a single-camera imaging system that can simultaneously acquire brightfield, darkfield and phase contrast (DPC) images in real-time. Our method uses a programmable LED array as the illumination source, which provides flexible patterning of illumination angles. We achieve a frame rate of 50 Hz with 2560X2160 pixels and 100Hz with 1920X1080 pixels, with speed only limited by the camera.
Z. Liu, L. Tian, S. Liu, and L. Waller, Real-time brightfield, darkfield, and phase contrast imaging in a light-emitting diode array microscope,” Journal of Biomedical Optics 19(10), p. 106002, 2014.

Coherence engineering – phase space/statistical optics – light fields

Partially coherent beams do not have a well-defined phase. Light at any point in space doesn’t travel in a single direction (with a single spatial frequency), but rather, has a statistical distribution of frequencies (phase values). This means that a spatially partially coherent 2D beam can only be described by a 4D coherence function, akin to a covariance matrix. We aim to measure these 4D correlations with high resolution in all 4D, which creates engineering challenges for data management and compression. Basically, it’s big data for imaging.

L. Waller, G. Situ, J. W. Fleischer, Nature Photonics 6, 474-479 (2012).














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