THE VISIBILITY OF SINGLE LINES AT VARIOUS ILLUMINATIONS AND THE RETINAL BASIS OF VISUAL RESOLUTION

The visual resolution of a single opaque line against an evenly illuminated background has been studied over a large range of background brightness. It was found that the visual angle occupied by the thickness of the line when it is just resolved varies from about 10 minutes at the lowest illuminations to 0.5 second at the highest illuminations, a range of 1200 to 1. The relation between background brightness and just resolvable visual angle shows two sections similar to those found in other visual functions; the data at low light intensities represent rod vision while those at the higher intensities represent cone vision. With violet light instead of white the two sections become even more clearly defined and separated. The retinal image produced by the finest perceptible line at the highest brightness is not a sharp narrow shadow, but a thin broad shadow whose density distribution is described in terms of diffraction optics. The line of foveal cones occupying the center of this shadow suffers a decrease in the light intensity by very nearly 1 per cent in comparison either with the general retinal illumination or with that on the row of cones to either side of the central row. Since this percentage difference is near the limit of intensity discrimination by the retina, its retinal recognition is probably the limiting factor in the visual resolution of the line. The resolution of a line at any light intensity may also be limited by the just recognizable intensity difference, because this percentage difference varies with the prevailing light intensity. As evidence for this it is found that the just resolvable visual angle varies with the light intensity in the same way that the power of intensity discrimination of the eye varies with light intensity. It is possible that visual resolution of test objects like hooks and broken circles is determined by the recognition of intensity differences in their diffracted images, since the way in which their resolution varies with the light intensity is similar to the relation between intensity discrimination and light intensity.     

Degree of polarization of light diffracted from resting striated muscle

A laser light diffractometer has been developed to measure directly the total degree of polarization of (alpha t) of light diffracted and randomly scattered from striated muscle fibers. From alpha t the degree of polarization (alpha d) of light diffracted from the periodically arranged contractile filaments is determined. Measurements on single muscle fibers and small fiber bundles indicate that both alpha t and alpha d of the first-order diffraction decrease monotonically with sarcomere length. For the second-order diffraction, alpha t and alpha d exhibit a peak at sarcomere length of about 3.0 micron. A proposed theory based on the anisotropic light scattering efficiencies of the thick and thin filaments can account for the measurements. The comparison between the theory and measurements indicates that the A-band, as well as the I-band, are optically anisotropic.     

Optical polarization properties of the diffraction spectra from single fibers of skeletal muscle.

The diffraction spectra of laser light from single fibers of skeletal muscle exhibit a large degree of optical depolarization. When the linearly polarized incident laser source is oriented at polarization angles between 0 less than theta less than pi/2 rad with respect to the fiber axis, the diffracted light is elliptically polarized. These results show that the phase angle of the ellipse rotates by as much as 20 degrees when the fiber is stretched from 2.4 to 3.8 microns. To further ascertain that the observed phenomenon is diffraction related, an experiment monitoring the spectra of scattered light in between diffraction orders showed this signal to be significantly more linearly polarized. These results suggest that the degree of elliptical polarization of the diffraction spectra is a sensitive probe of A-band dynamics, including changes of the anisotropic S-2 elements.     

Degree of polarization of light diffracted from resting striated muscle

A laser light diffractometer has been developed to measure directly the total degree of polarization of ({ie145-1}) of light diffracted and randomly scattered from striated muscle fibers. From {ie145-2} the degree of polarization ({ie145-3}) of light diffracted from the periodically arranged contractile filaments is determined. Measurements on single muscle fibers and small fiber bundles indicate that both {ie145-4} and {ie145-5} of the firstorder diffraction decrease monotonically with sarcomere length. For the second-order diffraction, {ie145-6} and {ie145-7} exhibit a peak at sarcomere length of about 3.0 μm. A proposed theory based on the anisotropic light scattering efficiencies of the thick and thin filaments can account for the measurements. The comparison between the theory and measurements indicates that the A-band, as well as the I-band, are optically anisotropic.     

Sarcomere length determination using laser diffraction. Effect of beam and fiber diameter

An experimental and theoretical analysis is presented involving the effect of variation in fiber and beam diameter upon the determination of average sarcomere length in isolated single muscle fibers using laser light diffraction. The muscle diffraction phenomenon is simplified by first considering diffraction order position and intensity to be the result of grating and Bragg diffraction. It is the product of the intensity profiles, which results from these types of diffraction, that produces the diffracted order. These simplifying assumptions are then extended to the case of the real muscle. Based on these considerations and the theory that we recently presented, conditions are set forth under which grating information (i.e., sarcomere length) can be maximally expressed to yield accurate average sarcomere length values.     

Microsecond time scale rotation measurements of single F1-ATPase molecules

A novel method for detecting F(1)-ATPase rotation in a manner sufficiently sensitive to achieve acquisition rates with a time resolution of 2.5 micros (equivalent to 400,000 fps) is reported. This is sufficient for resolving the rate at which the gamma-subunit travels from one dwell state to another (transition time). Rotation is detected via a gold nanorod attached to the rotating gamma-subunit of an immobilized F(1)-ATPase. Variations in scattered light intensity allow precise measurement of changes in the angular position of the rod below the diffraction limit of light. Using this approach, the transition time of Escherichia coli F(1)-ATPase gamma-subunit rotation was determined to be 7.62 +/- 0.15 (standard deviation) rad/ms. The average rate-limiting dwell time between rotation events observed at the saturating substrate concentration was 8.03 ms, comparable to the observed Mg(2+)-ATPase k(cat) of 130 s(-)(1) (7.7 ms). Histograms of scattered light intensity from ATP-dependent nanorod rotation as a function of polarization angle allowed the determination of the nanorod orientation with respect to the axis of rotation and plane of polarization. This information allowed the drag coefficient to be determined, which implied that the instantaneous torque generated by F(1) was 63.3 +/- 2.9 pN nm. The high temporal resolution of rotation allowed the measurement of the instantaneous torque of F(1), resulting in direct implications for its rotational mechanism.     

Fine structure in near-field and far-field laser diffraction patterns from skeletal muscle fibers.

Regions of muscle fibers that are many sarcomeres in length and uniform with regard to striation spacing, curvature, and tilt have been observed by light microscopy. We have investigated the possibility that these sarcomere domains can explain the fine structure in optical diffraction patterns of skeletal muscle fibers. We studied near-field and far-field diffraction patterns with respect to fiber translation and to masking of the laser beam. The position of diffracted light in the near-field pattern depends on sarcomere length and position of the diffracting regions within the laser beam. When a muscle fiber was translated longitudinally through a fixed laser beam, the fine structural lines in the near-field diffraction pattern moved in the same direction and by the same amount as the fiber movement. Translation of the muscle fiber did not result in fine structure movement in the far-field pattern. As the laser beam was incrementally masked from one side, some fine structural lines in both the near-field and far-field diffraction patterns changed in intensity while others remained the same. Eventually, all the fine structural lines broadened and decreased in intensity. Often a fine structural line increased in intensity or a dark area in the diffraction pattern became brighter as the laser beam was restricted. From these results we conclude that the fine structure in the laser diffraction pattern is due to localized and relatively uniform regions of sarcomeres (domains) and to cross interference among light rays scattered by different domains.     

The molecular origin of birefringence in skeletal muscle. Contribution of myosin subfragment S-1.

The state of optical polarization of He-Ne laser light diffracted by single skinned frog skeletal muscle fibers has been determined after decoration of the thin filaments of rigor fibers with exogenous S-1. Light on the first diffraction order was analyzed using optical ellipsometry for changes occurring in total birefringence (delta nT) and total differential field ratio (rT) and the experimental results compared with theoretical predictions. Fibers were examined with SDS-gel electrophoresis and electron microscopy as independent assays of S-1 binding. The binding of S-1 to the thin filaments caused a significant increase in rT and a small but significant decrease in delta nT. Release of bound exogenous S-1 with magnesium pyrophosphate demonstrated that the effect of S-1 on the optical parameters was reversible and both electrophoresis and electron microscopy demonstrated the presence of S-1 specifically bound to the thin filaments. Model simulations based on the theory of Yeh, Y., and R. Baskin (1988. Biophys. J. 54:205-218) showed that the values of delta nT and rT were sensitive to the axial bonding angle of exogenous S-1 as well as to the volume fraction of added S-1. Analysis of the data in light of the model showed that an average axial S-1 binding angle of 68 degrees +/- 7 degrees best fit the data.     

Sarcomeric domain organization within single skinned rabbit psoas fibers and its effects on laser light diffraction patterns.

Total intensity and fine structure of first-order laser light diffraction maxima from single skinned rabbit psoas fibers were studied. Total intensity of the diffraction maxima was measured as a function of the incidence angle (omega-scan). In the most homogeneous fibers, most of the intensity in the diffraction maxima is confined to a rather narrow range of incidence angles. Fibers with less homogeneous striation patterns, apparently composed of several regions of distinct sarcomere length and tilt of striation (domains), give rise to several narrow intensity peaks in their omega-scans. Left and right first-order diffraction lines produce omega-scans of almost identical shape, composed of one or more intensity peaks, with each pair of corresponding peaks separated by about the same angle. The data indicated that in single skinned rabbit psoas fibers, light diffraction is dominated by Bragg diffraction and that the peaks within omega-scans can be directly correlated with domains within the illuminated fiber segment. In the most homogeneous fiber segments the diameter of domains, estimated from the width of the corresponding maxima in the omega-scans, could almost be as large as the fiber diameter. On average, from the number of peaks in the omega-scans two to three domains with an average length of approximately 250-350 microns can be identified in a fiber cross-section. Therefore, on average only a small number of domains (8 per mm) are found within skinned rabbit psoas fiber segments. In contrast, the number of substructural lines within the diffraction maxima is large even for microscopically homogeneous fibers. Substructural lines appear to be present only when several domains are illuminated simultaneously. Separation and width of these substructural lines are approximately inversely proportional to the length of the illuminated region of the fiber. These data suggest that the substructural lines are due to interference between domains, illuminated simultaneously by a light source with a high degree of spatial coherence (laser). The relevance of these findings for measurements of sarcomere length by laser light diffraction is discussed.     

Novel Perspectives on the Characterization of Species-Dependent Optical Signatures of Bacterial Colonies by Digital Holography

The use of light diffraction for the microbiological diagnosis of bacterial colonies was a significant breakthrough with widespread implications for the food industry and clinical practice. We previously confirmed that optical sensors for bacterial colony light diffraction can be used for bacterial identification. This paper is focused on the novel perspectives of this method based on digital in-line holography (DIH), which is able to reconstruct the amplitude and phase properties of examined objects, as well as the amplitude and phase patterns of the optical field scattered/diffracted by the bacterial colony in any chosen observation plane behind the object from single digital hologram. Analysis of the amplitude and phase patterns inside a colony revealed its unique optical properties, which are associated with the internal structure and geometry of the bacterial colony. Moreover, on a computational level, it is possible to select the desired scattered/diffracted pattern within the entire observation volume that exhibits the largest amount of unique, differentiating bacterial features. These properties distinguish this method from the already proposed sensing techniques based on light diffraction/scattering of bacterial colonies. The reconstructed diffraction patterns have a similar spatial distribution as the recorded Fresnel patterns, previously applied for bacterial identification with over 98% accuracy, but they are characterized by both intensity and phase distributions. Our results using digital holography provide new optical discriminators of bacterial species revealed in one single step in form of new optical signatures of bacterial colonies: digital holograms, reconstructed amplitude and phase patterns, as well as diffraction patterns from all observation space, which exhibit species-dependent features. To the best of our knowledge, this is the first report on bacterial colony analysis via digital holography and our study represents an innovative approach to the subject.     

Efficiency of light diffraction by cross-striated muscle fibers under stretch and during isometric contraction.

When light is diffracted by a single frog muscle fiber the intensities I kappa of the different orders kappa (kappa = 1,2,3) strongly depend on the angle between the axis of the incident beam and the fiber axis. Maximum intensity is not obtained with perpendicular incidence (omega = 0 degree) but at angles that can be calculated for each order number and sarcomere length using Bragg's formula. In analogy to techniques developed for x-ray structure analysis of mosaic crystals we have rotated the fiber around an axis perpendicular to the fiber axis and to the incident beam axis within an angular range delta omega = +/- 35 degrees and recorded the light intensities I kappa. Diffraction efficiencies defined as E kappa = integral of I kappa d omega were studied as a function of sarcomere length and during isometric contraction. The sarcomere length dependences of the efficiencies E kappa of the first three orders show characteristic trends. E1 increases with fiber stretch, E2 has a minimum at a sarcomere length near 2.8 micrometers, and E3 has a maximum near 2.5 micrometers. These trends as well as the observed efficiency ratios are in fairly good agreement with predictions by the intensity formula developed for x-ray structure analysis. During isometric contraction, the diffraction efficiencies of the fiber decrease, with the decreases becoming greater the higher the order number. These decreases might be caused by a longitudinal displacement of myofibrils of up to 0.4 micrometers. The efficiency of light diffraction strongly depends on the tonicity of the bathing fluid. Hypertonic (3/2 x normal) solution reduces E1 to less than half, hypotonic (2/3 x normal) solution increases E1 to almost twice the value obtained in normal Ringer's solution.     

声光可调谐滤波器的细胞生物学研究应用

波长选择在荧光光谱仪和显微镜等光学应用中发挥了至关重要的作用。声光可调谐滤波器(AOTF)作为一种电光器件可实现多光源入射波长、功率的同时调制。在声光可调谐滤波器中,压电换能器结合于二氧化碲或石英晶体产生高频声波,改变晶体折射率形成周期性分布。该现象在晶体中生成衍射光栅,使以布拉格角正交入射的光束被高效衍射至一阶光束。当改变施加到晶体的信号频率时将改变折射率变化周期,因此,衍射光的波长随之改变。同时,衍射光强度由施加到晶体的信号振幅决定。本文从声光可调谐滤波器原理和特点出发,总结了声光可调谐滤波器在细胞生物学研究系统中的应用模型。得益于作用时间短、波长分辨率高、无振动部件等特性,声光可调谐滤波器提升了多波长光源功率调制能力,使细胞计数系统具备了细胞高光谱成像能力。所以不仅限于传统细胞生物学研究,包含声光可调谐滤波器件的系统还将在多参数高内涵成像分析、扫描荧光显微术、药物毒理研究等领域成为有力的研究工具。     

Morphological structure and optical properties of the wings of Morphidae

The morphological structure and optical properties of the wings of 14 species of Morphidae have been investigated. Most of the scales of the iridescent species of Morphidae （Lepidoptera） present a very particular structure. The ground scales, responsible for the major part of the optical properties, are covered by a very regular set of longitudinal ridges. The ridges themselves are constituted by a superposition of lamellae that act locally as a multilayered structure. This very specific morphology leads to both interferences and diffraction effects. The first one is responsible of the brilliant blue coloration of the males, while the second one diffracts this colored light at a very large angle. These two phenomena give to the butterfly a very effective long-range communication system. The morphological characteristics of the scales of the various species are presented in detail. Two types of optical measurement were performed on the iridescent wings of 14 different species of Morphidae： spectroscopic measurements under various incidences and gonioscopic measurements for a given incidence angle and wavelength. The first allows a determination of the index of refraction of the cuticular material. The second leads to the drawing of spatial diffraction maps. It shows that most of the reflected light is diffracted laterally over a very large angle （90° 〈 0 〈 120°, according to the different species） and that this repartition depends of the polarization of incident light. As predicted by previous calculations, the dissymmetric structure of the ridge is responsible for the separation of the polarization modes in the various diffraction orders.     

Rotational and translational motions of human spermatozoa: angle dependence of dynamic laser light scattering

We have studied how the dynamic components of laser light scattered from human spermatozoa depend on the scattering angle. This was done by investigating the halfwidth of the intensity autocorrelation function. A model of the spermatozoa as freely rotating and translating linear objects was adequate to describe the scattered light. Rotational motions determined the halfwidth of the intensity autocorrelation function at very small scattering angles and contribution from translational motions was dominant at scattering angles larger than 20 degrees. The contribution from translational motions increased with increasing scattering angle. We found a nearly linear relationship between the translation speed and the rotation frequency. However, the ratio between the two properties varied more than expected from the methodological error. Therefore we introduced a propelling efficacy as a concept to describe the swimming efficiency. This property might contain important information about the swim characteristics.Abbreviations ACF Autocorrelation function - _1/2 halfwidth - RGD Rayleigh-Gans-Debye - SD Standard deviation Correspondence to: P. Thyberg     

Zeitgebers for animals in the continuous daylight of high arctic summer

Summary To find out which of daily oscillating environmental factors in the continuous daylight of arctic summer are responsable for synchronization of animal activity period with the rotation of the earth, in Spitsbergen (78° N) a whole summer continuous measurements of temperature (°C), light intensity (lux) and spectral composition of the light (colour temperature in °K) were done. With a daily amplitude of 4–5° C in the air, resp. 10° C at the ground surface, temperature can only act as a Zeitgeber for heterothermic animals. Measurements of light intensity (with a photocell directed vertical upward to the zenith) showed relatively large daily oscillations. But since light intensity depends on the cosine of the angle of incidence of the light (Lambert's cosine law) and in high latitudes the angle of incidence of the sun is always very great, in fact measurements have to be done with the photocell directed to the sun or, as the latter meets with mechanical problems, all dates got with the photocell vertical upward must be converted after Lambert's cosine law. Converted dates of light intensity oscillate not nearly as intense as measured dates. This small daily amplitude of light intensity, which in addition is strongly influenced by sudden changes of the wheather, can hardly come into consideration as a Zeitgeber of animal activity period. Colour temperature however showed large and regular daily oscillations and therefore could be a Zeitgeber of animal activity period in high arctic summer, particularly because in the laboratory the synchroniing effect of an artificial daily alternation of colour temperature is already proved. Nest (feeding) activity of local snowbuntings and perch hopping activity of greenfinches, brought from Germany, were registrated with light traps. Activity period of both bird species was clearly synchronized with the rotation of the earth. In a narrow valley the activity pattern of greenfinches was identical as in open country, in spite of temporarily total other conditions of light intensity (shading by mountains). Apparently even the activity period of non arctic animals can be synchronized by weak Zeitgebers like colour temperature.     

Polarization changes in light diffracted from contracting muscle fibers

Single fibers were isolated from the semitendinosus muscle of frog and illuminated with an He-Ne laser. The polarization of the laser beam was varied by a photoelastic modulator. The time course of the degree of polarization of light diffracted from the muscle fiber during an isometric contraction was measured directly with a time resolution of 1 ms. Tension, sarcomere length, and diffraction intensity were also measured. During the contraction cycle, the degree of polarization of the active fiber exhibited a biphasic variation relative to that of the resting fiber. Analysis identifies the movement of heavy meromyosin toward actin and the rise in myoplasmic calcium ion concentration as the main contributors to the polarization transient of active fibers. A quantitative theory describing the polarized diffraction from muscle fibers is formulated. There is good agreement between the theory and measurements.     

Polarization changes in light diffracted from contracting muscle fibers

Single fibers were isolated from the semitendinosus muscle of frog and illuminated with an He-Ne laser. The polarization of the laser beam was varied by a photoelastic modulator. The time course of the degree of polarization of light diffracted from the muscle fiber during an isometric contraction was measured directly with a time resolution of 1 ms. Tension, sarcomere length, and diffraction intensity were also measured. During the contraction cycle, the degree of polarization of the active fiber exhibited a biphasic variation relative to that of the resting fiber. Analysis identifies the movement of heavy meromyosin toward actin and the rise in myoplasmic calcium ion concentration as the main contributors to the polarization transient of active fibers. A quantitative theory describing the polarized diffraction from muscle fibers is formulated. There is good agreement between the theory and measurements.     

Theory of light diffraction by single skeletal muscle fibers.

A theoretical discussion is presented describing the diffraction of laser light by a single fiber of striated muscle. The complete three-dimensional geometry of the fiber has been taken into consideration. The basic repeated unit is taken as the sarcomere of a single myofibril, including its cylindrical geometry. The single fiber is considered as the sum of myofibrils up to the fiber dimensions. When proper phasing is taken into account, three cases of interest are analyzed. (a) When the adjacent myofibrils are totally aligned with respect to their index of refraction regions (e.g., A and I bands), then the diffraction pattern reflects that of a larger striated cylinder with the dimensions of the fiber. (b) When a particular skew plane develops for the myofibril elements, additional Bragg reflection occurs at certain specific sarcomere lengths, and intensity asymmetry amongst the diffracted orders occurs. (c) When the myofibril phasing changes in a random fashion, while all sarcomeres remain at the same length, then intensity decrease is directly related to the phase deviation from a reference phase point. This condition may well describe a fiber undergoing active isometric contraction.     

Measurement of sarcomere shortening in skinned fibers from frog muscle by white light diffraction.

A new optical-electronic method has been developed to detect striation spacing of single muscle fibers. The technique avoids Bragg-angle and interference-fringe effects associated with laser light diffraction by using polychromatic (white) light. The light is diffracted once by an acousto-optical device and then diffracted again by the muscle fiber. The double diffraction reverses the chromatic dispersion normally obtained with polychromatic light. In frog skinned muscle fibers, active and passive sarcomere shortening were smooth when observed by white light diffraction, whereas steps and pauses occurred in the striation spacing signals obtained with laser illumination. During active contractions skinned fibers shortened at high rates (3-5 microns/s per half sarcomere, 0-5 degrees C) at loads below 5% of isometric tension. Compression of the myofibrillar lateral filament spacing using osmotic agents reduced the shortening velocity at low loads. A hypothesis is presented that high shortening velocities are observed with skinned muscle fibers because the cross-bridges cannot support compressive loads when the filament lattice is swollen.