We have been developing a polarized light microscope with liquid crystal universal compensator and circular polarizer (the LC-PolScope) for recording images, which are independent of the orientation of birefringent objects. Separate images show the retardance and the slow axis azimuth distributions of the in-plane birefringence of the focused region in the specimen. However the measured (apparent) retardance still depends on the angle between the crystal optic axis and the axis of the illuminating beam of light. If the illuminating beam is close to parallel to the optic axis the measured retardance value decreases dramatically and becomes zero when the two axes are parallel. The description of birefringent objects oriented in 3-dimensional space requires the introduction of two additional parameters: the principal retardance and the inclination angle. Together with the azimuth angle they completely characterize the birefringence properties of a specimen, assuming the specimen has a uniaxial optical indicatrix. We devised a new technique for measuring the three birefringence parameters without moving the specimen. For exploring the out-of-plane birefringence the new instrument which is based on the LC-PolScope technique contains an additional spatial light modulator, implemented here as a liquid crystal mask. The mask is located in the aperture plane of the condenser lens. Partial occlusion of the condenser aperture changes the direction of the central ray of the cone of light converging on the specimen. So we can obtain the retardance and azimuth images using different sets of illumination rays. For experimental verification we used a biological object called an aster. An aster consists of nearly parallel arrays of microtubules, a stiff biopolymer, radiating from a common organizing center called a centrosome. The object is spherically symmetric, and its 3 dimensional distribution of birefringence orientation can be predicted. Experimental results have shown the developed polarizing microscope can successfully be used for imaging and measuring three-dimensional orientation of birefringent objects
Image processing algorithms for measuring two-dimensional distributions of linear birefringence using a pair of variable retarders are proposed. Several algorithms using from 2 to 5 recorded frames allow to make fast or real time measurements, increase sensitivity and suppress measurement errors. Moreover, the described algorithms can be applied for proposed birefringence imaging systems with fixed retarders and/or Faraday rotators, including systems with images acquired in time sequences or as sets of parallel images.
The article presents a new design of a polarization microscope with a scanning liquid crystal aperture. The scanning device is based on the earlier reported Pol-Scope technique and includes a liquid crystal universal compensator. It is mounted in the front focal plane of the high numerical aperture condenser lens on the microsccope. By occluding different portions of the aperture, an oblique beam of variable tilt angle and azimuth is created for illuminating the specimen. Birefringence measurements are recorded for different mask configurations and results are evaluated to determine the retardance magnitude, azimuth and direction of optic axis of the specimen. We report measurements using small calcite crystals that confirm our theoretical predictions.
We report on the theoretical analysis, measurement and active rectification of depolarization caused by the differential transmission and phase shift of p- and s- polarized components of an axial beam passing through lens surfaces. Our theoretical analysis finds the polarization of output rays as a function of the input ray parameters, the shape factor and refractive index of the lenses used. For rays that are inclined to the optical axis we find optimal lens shape factors that minimize the rays' polarization aberrations. We report measurements of polarization aberrations that were detected in the back-focal plane of a modern microscope equipped with high numerical aperture lenses. Finally, we discuss strategies for polarization rectification and introduce new designs including a liquid crystal rectifier that can actively compensate a wide variety of polarization aberrations.
We have been developing and applying a new type of polarized light microscope, the new Pol-Scope, which dramatically enhances the unique capabilities of the traditional polarizing microscope. In living cells, without applying exogenous dyes or florescent labels, we have studied the dynamic organization of filamentous actin in neuronal growth cones and improved the efficiency of spindle imaging for in-vitro fertilization and enucleation procedures.
We used a new type of polarized light microscope (Pol-Scope) equipped with a precision universal compensator to record images of small, uniaxial birefringent crystals. Pol-Scope measurements of small calcite crystals represent complete in-focus and out-of-focus retardance maps of the crystals. We relate the 3-D retardance maps to the crystal morphologies and the directions of their optic axes in three dimensional space. In addition to single crystal measurements, we also recorded 3-D retardance maps of small clusters of crystals to study the superposition of overlapping image features. We demonstrate that the retardance of overlapping image features in cluster images can be theoretically predicted by combining separately recorded single crystal images. Our experimental and theoretical analysis indicates that the superposition of retardance features is equivalent to adding incoherently the respective intensity values that were recorded with the Pol-Scope using different compensator settings. This analysis is part of a larger effort towards establishing 3-D image restoration procedures for polarized light imaging.
A new type of imaging polarimeter for fast and orientation independent measurement of birefringent fine structures is proposed. The new imaging polarimeter was implemented as a polarized light microscope incorporating a precision universal compensator made of two electro-optic modulators. A video camera and computer-assisted image analysis system provide fast measurements of optical anisotropy (retardance magnitude and azimuth) in the specimen at ALL POINTS of the image constituting the field of view. The images document fine structural and molecular organization within a thin optical section of the specimen. The sensitivity of the current instrument is 0.1 nm of specimen retardance, measured in 0.43 seconds at all 640 X 480 image points. Examples of measurements of birefringent fine structures are presented.
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