A NEW METHOD OF POLARIZATION MICROSCOPIC ANALYSIS : I. Scanning with a Birefringence Detection System

A new method of polarized light analysis is described in which a highly sensitive electronic detector specific for birefringence is used to identify the crystalline axes of an object and then measure its phase retardation due to birefringence. The microscopic system employed in the method consists of an electronic birefringence detection system (BDS), a microscope with strain-free lenses, and a driven stage for passing the specimen at appropriate velocities across the image of an aperture placed at the field stop and imaged in the specimen plane by the condenser. The detector registers retardations directly as voltage at a constant deflection sensitivity of ca. 1.1 v per angstrom unit over a range of 120 angstrom units. The basal rms noise level is 0.002 A for a spot 36 µ in diameter formed by a 95 x, N. A. 1.25 objective pair, and increases in proportion to the reciprocal of the diameter of the scanning spot. The increase in noise with high resolution scanning can be offset by increasing the instrumental time constant, which is adjustable in decades between 0.004 and 0.4 seconds. A number of difficult problems in high extinction polarization microscopy are avoided by the use of modulated light and a rapid electronic detector. For example: (a) The measured distribution of birefringence is unaffected by the usual diffraction anomaly; therefore polarization rectifiers are not required. (b) The detector is selective for birefringence, so that there is no problem in separating contrast due to different optical properties (e.g. dichroism, light scattering). (c) The speed and sensitivity are both increased by between one and two orders of magnitude over that attainable by visual or photographic methods, thereby rendering a vast number of weakly birefringent, light-scattering, and motile objects readily analyzable for the first time with polarized light.     

Analysis of edge birefringence.

We present an experimental and theoretical study of the phenomenon of edge birefringence that appears near boundaries of transparent objects which are observed with high extinction and high resolution polarized light microscopy. As test objects, thin flakes of isotropic KCl crystals were immersed in media of various refractive indices. The measured retardation near crystal edges increased linearly with both the crystal thickness (tested between 0.3 and 1 micron), and the difference in refractive indices n between crystal (n = 1.49) and immersion liquids (n between 1.36 and 1.62). The specific edge birefringence, i.e., the retardation per thickness and per refractive index difference, is 0.029 on the high refractive index side of the boundary and -0.015 on the low refractive index side. The transition through zero birefringence specifies the position of a boundary at a much higher precision than predicted by the diffraction limit of the optical setup. The theoretical study employs a ray tracing procedure modeling the change in phase and polarization of rays passing through the specimen. We find good agreement between the model calculations and the experimental results indicating that edge birefringence can be attributed to the change in polarization of light that is refracted and reflected by dielectric interfaces.     

Optic methods for measurements of muscle fiber birefringence

An optical method for measuring the birefringence of muscle fibers was developed, which is realized on an automated Linnick interferometer microscope equipped with a laser. It was shown that the method has some advantages over the methods based on measurements of the intensity of light passing through a crossed polarizer, an analyzer, and a fiber (light polarized microscopy). The method involves direct phase measurements of optical path length at the parallel and perpendicular orientations of the polarization plane of probing radiation. The phase image is reconstructed automatically from interferograms with the use of the four-frame phase-shifting algorithm. The phase images of one and the same central part of the fiber at different orientations of the polarization plane represent two-dimensional numerical maps of the optical path length. The subtraction of these images gives a two-dimensional map of the phase shift, which includes information about the birefringence of the fiber. A formula for birefringence measurements was deduced, which has a certain advantage in comparison to that used earlier in that it does not take into account the thickness of a fiber that depends on the measurement point. The birefringence is normalized to a value of the half sum of phases, which are measured separately in the course of the experiment.     

位相分辨偏振灵敏光学相干层析术:组织双折射特性的成像与定量分析

我们研制了一种基于光纤的位相分辨偏振灵敏光学相干层析成像系统。该系统中的偏振状态控制设量在参考臂而非光源臂上,因而使得光抵达样品的传输效率大大提高。鉴于光源的部分偏振性,入射于样品上的光含有任意偏振状态的分量,通过对参考光偏振状态的调制,就可相干地提取对应于入射光四种正交偏振状态并经样品后向散射的光信号。基于斯托克斯矢量夹角在无损光纤系统传输的变换不变性,我们能利用测量臂中光信号的斯托克斯参数来确定双折射样品深度分辨的位相延迟信息。利用所研制的偏振灵敏光学相干层析成像系统,不仅确认了韧带和软骨的双折射性质,而且定量分析了不同条件下韧带的双折射变化．研究结果表明：韧带松弛可使其双折射特性明显减弱,而韧带经拉伸后,其双折射特性的变化却不明显。     

Modulated polarization microscopy: a promising new approach to visualizing cytoskeletal dynamics in living cells

In an effort to visualize cytoskeletal filaments in living cells, we have developed modulated polarization microscopy. Modulated polarization microscopy visualizes cytoskeletal filaments based on their birefringence but differs from the standard polarization microscopy by exploiting the angle dependence of birefringence. A prototype instrument has been developed using two Faraday rotators under computer control to change the angle of plane polarized light at a known rate. By placing one Faraday rotator before and one after the specimen, rotation produced by the first Faraday rotator is cancelled by the second. This allows the use of fixed polarizer and analyzer in a crossed configuration and continuous imaging of the specimen between crossed polarizers. The variation in polarization angle of light illuminating the specimen causes birefringent elements to oscillate in brightness. Images acquired as polarization angle is varied are then processed by a Fourier filter image-processing algorithm. The Fourier filtering algorithm isolates those signals that vary at the proper rate, whereas static or random signals are removed. Here we show that the modulated polarization microscope can reveal cytoskeletal elements including stress fibers and microtubules in living cells.     

Analysis of the contraction of an organelle using its birefringency: the R-fibre of the Ceratium (Dinoflagellate) flagellum

Some organelles responsible for contraction consist of bundles of 2-4 nm filaments called nanofilaments. Such organelles are present in the longitudinal flagellum of Ceratium (Dinoflagellate): the R-fibre is the motor system for contraction and parallels the axoneme, which is responsible for wave generation. We used a highly sensitive polarization microscope developed by one of the authors to measure the birefringence of these nanofilament bundles during contraction in vivo. Our results show that the R-fibre gives a highly birefringent signal, retarding the polarization to much the same extent irrespective of the direction of polarization. By rotating the axis of the microscope compensator we confirmed that the birefringence is positive, suggesting that the bundles run parallel to the longitudinal axis of the flagellum. Conversely, when the compensator was rotated contrary to the direction of retardation, the bundle appeared dark (except when the organelle was in a fully contracted state). Experiments performed on detergent-treated and ATP-reactivated flagella show that a portion of the flagella regained activity with the addition of ATP in the presence of low Ca(2+) concentrations. This demonstrates the ability to reactivate flagellar motility after permeabilization and that axonemal microtubules were not responsible for the strong flagellar birefringence. Combined with complementary data from DIC microscopy of demembranated flagella and electron microscopy, these findings have led to the development of a model of the R-fibre and a comparison with other types of birefringent nanofilament bundles, such as the myoneme of Acantharia.     

Retinal nerve fiber layer birefringence evaluated with polarization sensitive spectral domain OCT and scanning laser polarimetry: A comparison

A polarization‐sensitive spectral domain optical coherence tomography (PS‐SD‐OCT) system is used to measure phase retardation and birefringence of the human retinal nerve fiber layer (RNFL) in vivo. The instrument records three parameters simultaneously: intensity, phase retardation and optic‐axis orientation. 3D data sets are recorded in the optic nerve‐head area of a healthy and a glaucomatous eye, and the results are presented in various ways: En‐face phase‐retardation maps of the RNFL are generated from the recorded 3D data and results are compared with scanning laser polarimetry (SLP). The depth information provided by OCT is used to segment the RNFL in the intensity image and measure the RNFL thickness. From the retardation and thickness data, 2D birefringence maps of the RNFL are derived. Circumpapillary plots of RNFL retardation and thickness obtained by PS‐SD‐OCT are quantitatively compared with those obtained by SLP. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

A long-lasting birefringence change recorded from a tetanically stimulated squid giant axon.

A long-lasting birefringence change (the delayed response) was found to be produced in a tetanically stimulated squid giant axon. The change was independent of the concurrent membrane potential change, summated on repetitive stimulation, and always had a sign representing a decrease in resting birefringence. The axons was placed between a polarizer and an analyzer with their polarizing axes crossed, making an angle of 45 degrees with the longitudinal direction of the axon. The light beam that passed through the axon and the other optical elements was received by a photodiode. The change in light intensity evoked by repetitive stimulation was composed of brief initial responses, which took place in response to individual stimuli, and a delayed response, which developed gradually and lasted for several hundred msec. It was necessary to differentiate the effect of birefringence change from that of turbidity change. Formulas were derived on the assumption that the optical properties of the axon could be represented by a model of a uniaxial crystal that was not only birefringent but also dichroic, its extinction coefficients and the angle of retardation being changed independently on excitation. Calculations with them yielded the resting retardation, which agreed well with those obtained by the Senarmont's method, and the change in birefringence, which agreed well with the other calculated value derived from experiments using a quarter-wave plate. The results of the calculation confirmed the existence of the long-lasting birefringence change in the tetanically stimulated axon.     

Doppelbrechung und Orientierungsrate der Leptonen fließenden Protoplasmas

Summary At defined speeds threads of protoplasm have been drawn out mechanically from a fusion of isolated gymnoplasts using an experimental arrangement described by Gerendás [3]. The polarization device, as well as the method of measuring the birefringence by means of a variable azimuth compensator of fixed retardation, viz. a rotating /30-mica plate, is the same as described formerly [7g-i. Then in dependence on the variable speeds of formation the protoplasmic threads show a different intensity of negative birefringence, and, what is more, it is found a distinct parallelism between birefringence, as an expression of the orientation rate of the leptones, and the speed of spinning. Always when a birefringent gel like protoplasm is put under tension, the intensity of its original birefringence or its orientation rate increases (and in the reverse order). It is to conclude that in order to analyse the leptonic structures in dependence on the effective forces, there is a great need for a quantitative approach to the anisotropy of protoplasmic constituents.     

Specimen preparation and quantification of collagen birefringence in unstained sections of articular cartilage using image analysis and polarizing light microscopy

To establish an optimal method for analysis of the collagen structures from unstained tissue sections, a computerized image analysis system using a charge coupled device camera coupled to a polarizing light microscope was used. Retardation values of birefringence, which are proportional to the content and fibril orientation of collagen in the extracellular matrix of articular cartilage, were determined from sections prepared in different ways. In the superficial zone of articular cartilage, the highest retardation values were recorded from sections cut parallel to the so-called split lines indicating the anisotropic arrangement of collagen. Complete digestion of glycosaminoglycans reduced the retardation value by approximately 6.0%, suggesting a minor, but not insignificant, contribution of glycosaminoglycans to the birefringence of the matrix. The use of a mounting medium with a refractive index close to that of the collagen (e.g. DPX) increased the specificity of the method, since the optical anisotropy of collagen derives predominantly from the intrinsic (structural) birefringence. In conclusion, analysis of unstained sections after careful removal of paraffin and glycosaminoglycans from the tissues provides a sensitive and rapid quantitative assessment of oriented collagen structures in articular cartilage     

Improved accuracy of quantitative birefringence imaging by polarization sensitive OCT with simple noise correction and its application to neuroimaging

Polarization-sensitive optical coherence tomography (PS-OCT) enables three-dimensional imaging of biological tissues based on the inherent contrast provided by scattering and polarization properties. In fibrous tissue such as the white matter of the brain, PS-OCT allows quantitative mapping of tissue birefringence. For the popular PS-OCT layout using a single circular input state, birefringence measurements are based on a straight-forward evaluation of phase retardation data. However, the accuracy of these measurements strongly depends on the signal-to-noise ratio (SNR) and is prone to mapping artifacts when the SNR is low. Here we present a simple yet effective approach for improving the accuracy of PS-OCT phase retardation and birefringence measurements. By performing a noise bias correction of the detected OCT signal amplitudes, the impact of the noise floor on retardation measurements can be markedly reduced. We present simulation data to illustrate the influence of the noise bias correction on phase retardation measurements and support our analysis with real-world PS-OCT image data.     

Enhanced polarizing microscopy as a new tool in aneuploidy research in oocytes

Chromosomal non-disjunction in female meiosis gives rise to reduced fertility and trisomy in humans. Human oocytes, especially from aged women, appear especially susceptible to non-disjunction. The oocyte spindle is crucial for high fidelity of chromosome segregation at meiotic divisions, and alterations in spindle morphology are therefore indicators of adverse conditions during oocyte development that may result in meiotic aneuploidy. In the past, oocytes had to be fixed for spindle analysis, precluding direct non-invasive identification of aneugens and adverse maturation conditions that affect spindle integrity and chromosome behaviour. Aneuploidy research for detection of spindle aberrations was therefore mainly focused on in vivo or in vitro exposed, fixed animal oocytes or cytogenetic analysis of spread oocytes. Orientation independent enhanced polarizing microscopy with nearly circularly polarized light and electronically controlled liquid crystal compensator optics is a new tool to study spindle morphology non-invasively in vivo for qualitative as well as quantitative analysis. Image generation by polarization microscopy depends on the intrinsic optical properties of the spindle with its paracrystalline microtubule lattice. When polarized light passes through such a lattice it induces a splitting of the beam and shift in the plane of vibration and retardation of light (termed birefringence and retardance). Studies of animal oocytes and follicle-cell denuded human oocytes fertilized by intracytoplasmic sperm injection for assisted conception have demonstrated the safety and efficacy of enhanced polarization microscopy. The method can be employed in aneuploidy research for non-invasive dose-response studies to detect spindle aberrations, for instance, in combination with cytogenetic analysis. Due to the non-invasive nature of the technique it may be employed in routine analysis of human oocytes to assess risks by lifestyle factors, and occupational and adverse environmental exposures.     

Concomitant use of polarization and negative phase contrast microscopy for the study of microorganisms

A simultaneous application of negative phase contrast and polarization microscopy was used to study the internal structure of microbial cells. Negative phase contrast allowed us to display the fine cell structures with a refractive index of light approaching that of the environment, e.g., the cytoplasm, and converted an invisible phase image to a visible amplitude one. In the polarizing microscope, cross-polarizing filters, together with first-order quartz compensator and a turntable, showed maximum birefringence of individual structures. Material containing algae was collected in ponds in the villages Sýko?ice and Zbe?no (Protected Landscape Area K?ivoklátsko). Objects were studied in a laboratory microscope (Carl Zeiss Jena, type NfpK), equipped with a basic body In Ph 160 with an exchangeable module Ph, LOMO St. Petersburg turntable mounted on a centering holder of our own construction and a Nikon D 70 digital SLR camera. Anisotropic granules were found only in the members of two orders of algae (Euglenales, Euglenophyceae and Chlorococcales, Chlorophyceae). They always showed strong birefringence and differed in both number and size. An important finding concerned thin pellicles in genus Euglena (Euglenales, Euglenophyceae) which exhibited weak birefringence. In genus Pediastrum (Chlorococcales, Chlorophyceae), these granules were found only in living coenobium cells. In contrast, dead coenobium cells contained many granules without birefringence—an important finding. Another important finding included birefringent lamellar structure of the transverse cell wall and weak birefringence of pyrenoids in filamentous algae of genus Spirogyra (Zygnematales, Conjugatophyceae). It was clearly displayed by the negative phase contrast and has not been documented by other methods. This method can also record the very weak birefringence of the frustule of a diatom of genus Pinnularia (Naviculales, Bacillariophyceae), which was further reinforced by the use of quartz compensator—an important finding. Simultaneous use of negative phase contrast and polarization microscopy allowed us to study not only birefringent granules of storage substances in microorganisms, but also the individual lamellae of the cell walls of filamentous algae and very thin frustule walls in diatoms. These can be visualized only by this contrast method, which provides a higher resolution (subjective opinion only) than other methods such as positive phase contrast or relief contrast.     

A long-lasting birefringence change recorded from a tetanically stimulated squid giant axon

A long-lasting birefringence change (the delayed response) was found to be produced in a tetanically stimulated squid giant axon. The change was independent of the concurrent membrane potential change, summated on repetitive stimulation, and always had a sign representing a decrease in resting birefringence. The axon was placed between a polarizer and an analyzer with their polarizing axes crossed, making an angle of 45° with the longitudinal direction of the axon. The light beam that passed through the axon and the other optical elements was received by a photodiode. The change in light intensity evoked by repetitive stimulation was composed of brief initial responses, which took place in response to individual stimuli, and a delayed response, which developed gradually and lasted for several hundred msec. It was necessary to differentiate the effect of birefringence change from that of turbidity change. Formulas were derived on the assumption that the optical properties of the axon could be represented by a model of a uniaxial crystal that was not only birefringent but also dichroic, its extinction coefficients and the angle of retardation being changed independently on excitation. Calculations with them yielded the resting retardation, which agreed well with those obtained by the Sénarmont's method, and the change in birefringence, which agreed well with the other calculated value derived from experiments using a quarter-wave plate. The results of the calculation confirmed the existence of the long-lasting birefringence change in the tetanically stimulated axon.     

Investigation of the temperature dependence of the cross bridge parameters for attachment,force generation and detachment as deduced from mechano-chemical studies in glycerinated single fibres from the dorsal longitudinal muscle of Lethocerus maximus

Birefringence change during excitation was studied by using Nitellopsis obtusa. The velocity change of cytoplasmic streaming during an action potential was measured simultaneously by fluctuation analysis of transmitted light intensity. The origin of the retardation change was discussed by comparing optical retardation change to the time course of the action potential, the cytoplasmic streaming velocity change and the cell contraction.By the time course analysis of retardation change, we concluded that the change of the birefringence might be the sum of the changes of cytoplasmic flow and that of the size of length and diameter of the cell. But it is still difficult to separate the change to its components.     

Multicontrast endomyocardial imaging by single‐channel high‐resolution cross‐polarization optical coherence tomography

A single‐channel high‐resolution cross‐polarization (CP) optical coherence tomography (OCT) system is presented for multicontrast imaging of human myocardium in one‐shot measurement. The intensity and functional contrasts, including the ratio between the cross‐ and co‐polarization channels as well as the cumulative retardation, are reconstructed from the CP‐OCT readout. By comparing the CP‐OCT results with histological analysis, it is shown that the system can successfully delineate microstructures in the myocardium and differentiate the fibrotic myocardium from normal or ablated myocardium based on the functional contrasts provided by the CP‐OCT system. The feasibility of using A‐line profiles from the 2 orthogonal polarization channels to identify fibrotic myocardium, normal myocardium and ablated lesion is also discussed.      

Mueller matrix decomposition for polarized light assessment of biological tissues

The Mueller matrix represents the transfer function of an optical system in its interactions with polarized light and its elements relate to specific biologically or clinically relevant properties. However, when many optical polarization effects occur simultaneously, the resulting matrix elements represent several “lumped” effects, thus hindering their unique interpretation. Currently, no methods exist to extract these individual properties in turbid media. Here, we present a novel application of a Mueller matrix decomposition methodology that achieves this objective. The methodology is validated theoretically via a novel polarized‐light propagation model, and experimentally in tissue simulating phantoms. The potential of the approach is explored for two specific biomedical applications: monitoring of changes in myocardial tissues following regenerative stem cell therapy, through birefringence‐induced retardation of the light's linear and circular polarizations, and non‐invasive blood glucose measurements through chirality‐induced rotation of the light's linear polarization. Results demonstrate potential for both applications. (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

Measuring collagen fiber orientation: a two-dimensional quantitative macroscopic technique.

This paper describes the design, evaluation, and application of a new system for quantifying two-dimensional collagen fiber orientation in soft tissue. Series of transmitted polarized light images were collected using a custom-designed macroscope. Combined analysis of pixel brightness, and hue from images collected with a compensator plate, permitted the assignment of each pixel into the appropriate orientation band. Experiments were performed to quantify the linearity and noise of the system. Validation was performed on a specimen composed of strain-birefringent plastic strips at various orientations. Preliminary collagen fiber orientation data is presented from a tendon specimen. This study demonstrates the utility of this approach for studying collagen fiber orientation across large areas.     

Birefringence signals in mammalian and frog myocardium. E-C coupling implications

Birefringence signals from mammalian and frog hearts were studied. The period between excitation and the onset of contraction in which optical signals were free of movement artifact was determined by changes in scattered incandescent light and changes in laser diffraction patterns. The birefringence signal preceding contraction was found to behave as a change in retardation and was not contaminated measurably by linear dichroic or isotropic absorption changes. There were two components of the birefringence signal in mammalian heart muscles but only one component in the frog heart. The first component of the birefringence signals in both mammalian and frog hearts had a time course coincident with the action potential upstroke. The second component in mammalian preparations was sensitive to inotropic interventions, such as variation of extracellular Ca2+, stimulation frequency, temperature, and epinephrine, in a manner that correlated with the maximum rate of rise of tension. Caffeine (2-10 mM) not only failed to generate a second component in the frog heart, but also suppressed the second component in the mammalian heart while potentiating twitch tension. The results suggest that the second component of the birefringence signal in the mammalian myocardium is related to Ca2+ release from the sarcoplasmic reticulum.     

In vivo measurement of glucose concentration with lasers.

Common polarimeters defined the concentration of an optically active sample by measuring the intensity of the light beam after it has passed through the analyser. Consequently, it can be stated that up to now, there have been the disadvantages of having a signal dependent on absolute light intensity. The new method that is described has a sensitivity that is in great measure independent of absolute light intensity, whereby only one light trace is necessary. The new principle uses no mechanical rotations. Instead, an electrical signal indicates the amount of optical rotation of the sample. The high sensitivity that can be reached is theoretically only limited by polarization noise. By going to the uttermost physical and electronic lengths, sensitivity values of more than 10(-5) degrees can be reached. Furthermore, the mechanical dimensions of the apparatus can be made very small by the application of a solid-state laser.