October 5, 2006

Quantitative phase imaging and applications: a review

 

Gabriel Popescu

George R. Harrison Spectroscopy Laboratory Massachusetts Institute of Technology, Cambridge, MA 02139

 

Contributors: Takahiro Ikeda, YounKeun Park, Niyom Lue, Wonshik Choi, Lauren Deflores, Kamran Badizadegan, Ramachandra R. Dasari, and Michael S. Feld

 

Collaborators: Catherine Best-Popescu (Harvard Medical School/ Brigham and Women’s Hospital) and Michael Laposata (Harvard Medical School/ Mass. Gen. Hospital)

 

Abstract

We present a review of the quantitative phase imaging techniques developed in the George R. Harrison Spectroscopy Laboratory at Massachusetts Institute of Technology. The applications of these techniques to cell biology are presented according to the time scales of the phenomena under investigation . The work is shown in the broader context of quantitative phase imaging and the research of other laboratories.


Table of contents

Review of quantitative phase imaging.. 1

Table of contents.. 2

1. Introduction.. 3

2. Point measurements.. 4

3. Full-field quantitative phase imaging.. 6

3.1. Fourier phase microscopy.. 6

3.2. Hilbert phase microscopy.. 9

3.3. Diffraction phase microscopy.. 11

4. Applications of full field techniques.. 14

4.1 Static imaging.. 14

4.1.1. Red blood cell volumetry. 14

4.1.2. Cell dry mass. 16

4.1.3. Cell refractometry. 19

4.2. Slow cell dynamics (minutes-days) 21

4.2.1. Cell growth. 21

4.2.2. Cell motility. 23

4.3 Rapid cell dynamics (milliseconds-seconds) 26

4.3.1. Cell membrane fluctuations. 26

4.3.2. Fresnel particle tracking using diffraction phase microscopy. 29

5. Summary and outlook.. 33

REFERENCES.. 34

 


 

1. Introduction

            Phase contrast (PC) and differential interference contrast (DIC) microscopy have been used extensively to infer morphometric features of live cells without the need for exogenous contrast agents1. These techniques transfer the information encoded in the phase of the imaging field into the intensity distribution of the final image. Thus, the optical phase shift through a given sample can be regarded as a powerful endogenous contrast agent, as it contains information about both the thickness and refractive index of the sample. However, both PC and DIC are qualitative in terms of optical path-length measurement, i.e. the relationship between the irradiance and phase of the image field is generally nonlinear2, 3.

            Quantifying the optical phase shifts associated with cells gives access to information about morphology and dynamics at the nanometer scale. Over the past decade, the development of quantitative phase imaging techniques has received increased scientific interest. The technology can be divided into single-point and full-field measurements, according to the experimental geometry employed. Several point-measurement techniques have been applied for investigating the structure and dynamics of live cells4-10. This type of measurement allows for fiber-optic implementation and also high-speed punctual phase measurement by using a single, fast photodetector. Full-filed phase measurement techniques, on the other hand, provide simultaneous information from a large number of points on the sample, which has the benefit of studying both the temporal and spatial behavior of the biological system under investigation11-23.

            In this paper, we review the main quantitative phase imaging techniques and their applications reported in the literature by the Spectroscopy Laboratory and others. The paper is organized as follows.


2. Point measurements

The quantitative retrieval of the phase delay associated with a biological sample offers detailed information about the structure and its temporal evolution. This type of information is not accessible through either amplitude-based microscopes (including optical coherence tomography), or qualitative phase-based techniques (such as phase contrast and interference contrast microscopy).

Various point-measurement techniques have been developed over the years for quantifying phase shifts at a given point through biological samples. This class of techniques can be described as an extension of optical coherence tomography 24 to measurements of phase, phase dispersion and birefringence associated with biological structures. DeBoer et al. demonstrated depth-resolved birefringence measurements with a polarization sensitive OCT system 25. Differential phase-contrast OCT images have also generated with a polarization-sensitive OCT instrument 26. Recently, polarization-sensitive OCT was used to quantify phase retardation in the retinal nerve fiber 27. An instantaneous quadrature techniques was proposed based on using a 1xN fiber coupler and the inherent phase shift between different output fibers 28. Electrokinetic 29 and thermo-refractive 30 properties of tissue and tissue phantoms have been measured by differential phase OCT. Phase sensitive OCT-type measurements have also been performed for studying static cells 10, for monitoring electric activity in nerves 8, 9, and spontaneous beating in cardiomyocytes 6.

            The development of new technology for investigating biological structure and dynamics at the nanometer level has been a subject of intense research in the Low-coherence interferometry group at the Spectroscopy Laboratory. Thus, using a harmonically-related pair of wavelengths, a novel interferometer has been developed, which can provide high-stability phase dispersion information about transparent samples 5, 31. This technique was subsequently extended to the investigation of 3-dimensional objects; the new technique is referred to phase dispersion optical tomography