scholarly journals Characterization of the Propagation Route of Light Passing Through Convex Lens

Author(s):  
Jiafa Mao ◽  
Weiguo Sheng ◽  
Yahong Hu ◽  
Kejie Mao ◽  
Hua Gao ◽  
...  

Abstract Existing optical theory states that the light directed to the optical center of the convex lens will travel in a straight line. Does the theory hold? If this is true, then why the images formed by the camera lens tends to be distorted? To answer the question, this paper studied the propagation mode of light passing through convex lens. Specifically, assuming the propagation medium on both sides of convex lens is homogeneous, we propose an angular affine transformation (AAT) theory. Based on the proposed theory, we first derive the refractive index of convex lens as well as the method of calculating the normal direction of each point within the radius of convex lens radius and then derive the refraction direction of each point within the radius of convex lens, thus completely characterizing the path diagram of light directed to the optical center. The correctness of the proposed theory has been verified using two sets of experiments: characterization of the route of light passing through the convex lens as well as camera imaging experiment. From the results, it can be concluded that the light directed to the optical center of convex lens does not travel in a straight line, but in a refraction line.

2000 ◽  
Vol 22 (3) ◽  
pp. 157-163 ◽  
Author(s):  
S. Dib ◽  
M. De La Bardonnie ◽  
A. Khoury ◽  
F. Pelanchon ◽  
P. Mialhe

A new method for extracting junction parameters of the single diode model is presented. A least squares method approach considers the deviation ∆V=f(I) between the experimental current-voltage (I-V) characteristic and a theoretical arbitrary characteristic. A specific case- the ∆V graph reducing to a straight line–is identified and the knowledge of the slope and of the intercept with the ordinate axis leads to the determination of the junction parameters. The method is applied to the characterization of the emitter-base junction of transistors and the results are discussed.


Proceedings ◽  
2018 ◽  
Vol 2 (8) ◽  
pp. 548
Author(s):  
Zhichao Hao ◽  
Yuankun Liu

This paper proposes a method for obtaining surface normal orientation and 3-D shape of plano-convex lens using refraction stereo. We show that two viewpoints are sufficient to solve this problem under the condition that the refractive index of the object is known. What we need to know is that (1) an accurate function that maps each pixel to the refraction point caused by the refraction of the object. (2) light is refracted only once. In the simulation, the actual measurement process is simplified: light is refracted only once; and the accurate one-to-one correspondence between incident ray and refractive ray is realized by known object points. The deformed grating caused by refraction point is also constructed in the process of simulation. A plano-convex lens with a focal length of 242.8571 mm is used for stereo data acquisition, normal direction acquisition, and the judgment of normal direction consistency. Finally, restoring the three-dimensional information of the plano-convex lens by computer simulation. Simulation results suggest that our method is feasibility. In the actual experiment, considering the case of light is refracted more than once, combining the calibration data acquisition based on phase measurement, phase-shifting and temporal phase-unwrapping techniques to complete (1) calibrating the corresponding position relationship between the monitor and the camera (2) matching incident ray and refractive ray.


1987 ◽  
Author(s):  
Dario C Altieri ◽  
Rossella Bader ◽  
Pier M Mannucci

We recently showed that human blood monocytes bind fibrinogen through a genuine surface antigen only in part similar to the platelet GP Ilb/IIIa. Moreover, some anti-GP IIb/IIIa Mabs cross-react with monocytes. In this study we used the 7E3 Mab which preferentially binds to the activated conformation of the platelet GP IIb/IIIa to characterize the dynamic mechanism of "exposure" of the monocyte fibrinogen receptor. 7E3 Mab (25 μg/ml) completely suppressed the binding of i25I-fibrinogen to ADP (10μM)-stimulated monocytes. However, differently from the platelet GP IIb/IIIa, 125I-7E3 binding to unstimulated monocytes was a non-specific and non-saturable reaction. In contrast, after stimulation with ADP (10 μM), suspensions of human monocytes bound 125I-7E3 with saturation of 25-30 μg/ml of added Mab. Scatchard plot analysis was a single-affinity straight line revealing 97,400 binding sites/monocyte with a dissociation constant of 5.2×10−8 M. The monocyte surface antigen uniquely expressed after ADP-activation recognized by 7E3 was visualized by immunoprecipitation studies. Surface iodinated platelet lysate subjected to immunoprecipitation with 7E3 revealed a single band with molecular weight (Mr) of 116,000 corresponding to the platelet GP IIb/IIIa. In contrast, monocytes showed a dimeric surface antigen precipitated by 7E3 in two subunits with Mr=l55,000 and 95,000 respectively. These data indicate that the adhesion properties of the monocyte fibrinogen receptor defined by an anti-platelet GP IIb/IIIa cross-reacting Mab are structurally and functionally distinct from those of the platelet receptor.


2012 ◽  
Vol 22 (05) ◽  
pp. 471-498 ◽  
Author(s):  
STEFAN HUBER ◽  
MARTIN HELD

This paper deals with the fast computation of straight skeletons of planar straight-line graphs (PSLGs) at an industrial-strength level. We discuss both the theoretical foundations of our algorithm and the engineering aspects of our implementation Bone. Our investigation starts with an analysis of the triangulation-based algorithm by Aichholzer and Aurenhammer and we prove the existence of flip-event-free Steiner triangulations. This result motivates a careful generalization of motorcycle graphs such that their intimate geometric connection to straight skeletons is maintained. Based on the generalized motorcycle graph, we devise a non-procedural characterization of straight skeletons of PSLGs and we discuss how to obtain a discretized version of a straight skeleton by means of graphics rendering. Most importantly, this generalization allows us to present a fast and easy-to-implement straight-skeleton algorithm. We implemented our algorithm in C++ based on floating-point arithmetic. Extensive benchmarks with our code Bone demonstrate an [Formula: see text] time complexity and [Formula: see text] memory footprint on 22 300 datasets of diverse characteristics. This is a linear factor better than the implementation provided by CGAL 4.0, which shows an [Formula: see text] time complexity and an [Formula: see text] memory footprint; the CGAL code has been the only fully-functional straight-skeleton code so far. In particular, on datasets with ten thousand vertices, Bone requires about 0.2–0.6 seconds instead of 4–7 minutes consumed by the CGAL code, and Bone uses only 20 MB heap memory instead of several gigabytes. We conclude our paper with a discussion of the engineering aspects and principles that make Bone reliable enough to compute the straight skeleton of datasets comprising a few million vertices on a desktop computer.


2021 ◽  
Author(s):  
Victor Parque

Abstract Curves are essential concepts that enable compounded aesthetic curves, e.g., to assemble complex silhouettes, match a specific curvature profile in industrial design, and construct smooth, comfortable, and safe trajectories in vehicle-robot navigation systems. New mechanisms able to encode, generate, evaluate, and deform aesthetic curves are expected to improve the throughput and the quality of industrial design. In recent years, the study of (log) aesthetic curves have attracted the community’s attention due to its ubiquity in natural phenomena such as bird eggs, butterfly wings, falcon flights, and manufactured products such as Japanese swords and automobiles. A (log) aesthetic curve renders a logarithmic curvature graph approximated by a straight line, and polar aesthetic curves enable to mode user-defined dynamics of the polar tangential angle in the polar coordinate system. As such, the curvature profile often becomes a by-product of the tangential angle. In this paper, we extend the concept of polar aesthetic curves and establish the analytical formulations to construct aesthetic curves with user-defined criteria. In particular, we propose the closed-form analytic characterizations of polar log-aesthetic curves meeting user-defined criteria of curvature profiles and dynamics of polar tangential angles. We present numerical examples portraying the feasibility of rendering the logarithmic curvature graphs represented by a straight line. Our approach enables the seamless characterization of aesthetic curves in the polar co-ordinate system, which can model aesthetic shapes with desirable aesthetic curvature profiles.


Many quality measures have been defined for graph drawings. In order to optimize these measures, slope number is considered to minimize the distinct edge slopes. The edges of the graphs are designed here as straight line segments. A number of distinct slopes required to draw the graph is called slope number. In this paper the slopenumber is discussed for known parallel architectures like hypercube, butterfly and benes networks. In addition to that the characterization of these networks is investigated and the results are observed for the defined problem.


Acarologia ◽  
2019 ◽  
Vol 59 (1) ◽  
pp. 120-128
Author(s):  
Marcela Massaro ◽  
Gilberto J. de Moraes

Amblyseius tamatavensis has been reported from over 20 countries around the world, and is also widely distributed in Brazil. It has been reported as potentially useful for the control of Bemisia tabaci, a pest/vector insect of great economic importance worldwide. Some studies have reported some biological differences among phytoseiid populations. The objective of this work was to compare 14 populations of different regions of Brazil (from the states of Alagoas, Goiás, Minas Gerais and São Paulo; straight line distance between northern and southern extremes of 2,560 km) in relation to the predation and oviposition potential when fed with eggs of B. tabaci biotype B. The morphological characterization of these mites showed that the population from Olhos d'Agua das Flores (Alagoas state) and a population from mixed origin maintained in the laboratory for about 5 years were constituted by mites with larger dorsal and ventrianal shield dimensions and presented the highest rates of daily predation (respectively 7.9 and 7.0 eggs/ female) and oviposition (1.2 and 1.1 eggs/ female). A positive and significant relationship was observed between mean population predation and oviposition rates. The results suggest that subsequent efforts should focus on exploring the variability of mites of these two populations in relation to predation and oviposition potential, in order to select a new, more promising population to control B . tabaci biotype B.


SPERMOVA ◽  
2021 ◽  
Vol 11 (1) ◽  
pp. 32-38
Author(s):  
Andres Moscoso Piedra ◽  
◽  
Marco Muñoz ◽  
Daniel Argudo Garzon ◽  
Jorge Samaniego ◽  
...  

Implementing alternatives methods to dorsal massage (e.g., electroejaculation) for recovering semen from fighting rooster, known to be very stressful due to its aggressiveness, has become a priority for breeders of this cock breed in Ecuador. Therefore, the objective of the present study was to evaluate two semen collection techniques in fighting roosters, one by electroejaculation (EE) and another by dorsal massage (DM) on seminal quality parameters. For this purpose, thirty attempts of semen recovery from six adult Spanish fighting roosters were carried out using DM (n = 12) and EE (n = 18). Electroejaculation was performed previous sedation, applying five stimulation cycles (of 2 s) generated from a handmade electroejaculation probe (9 to 12 V). The results showed that the EE produced lower response (P < 0.01) to semen ejaculation than the DM (44.4 % vs. 100.0 %, respectively). However, semen samples obtained by EE had better (P < 0.05) spermatic kinetic with greater values of straight-line velocity (VSL, µm/s), average path velocity (VAP, µm/s), and beat-cross frequency (BCF, Hz) as well as higher percentages (P < 0.01) of wobble and linearity compared to DM, irrespective of sperm viability. In addition, the number of urates present in the ejaculates obtained by EE was lower (P < 0.05) than those obtained by DM. In conclusion, electrical stimulation with prior sedation produced a low semen ejaculation response in fighting cocks. However, EE yielded semen ejaculates with better spermatic kinetic compared with the conventional dorsal massage technique.


1986 ◽  
Vol 251 (3) ◽  
pp. E357-E361 ◽  
Author(s):  
T. W. Gettys ◽  
P. M. Burrows ◽  
D. M. Henricks

Software packages for radioimmunoassay calibration assume that expected counting rate is a function of ligand dose. Previous studies have indicated that variances of counting rate are also related to dose, but the structure of individual assays does not permit precise estimation of counting rate variances at individual doses. The method described here uses results from an accumulation of assays to characterize the relationship between mean and variance of counting rate, thus providing a variance weighting function for the calibration. Analysis of 140 cortisol assays, all with two replicates of each of 50 sources (9 standard doses, 3 quality control preps, and 38 unknowns), led to an asymmetric rising ogive relating variances to means of counting rates. A rectangular hyperbola provided an adequate characterization of this relationship in an accumulation of 21 testosterone assays. Relationships between mean and variance of counting rate in 19 growth hormone assays and 7 triiodothyronine assays were characterized by a straight line and a rising exponential curve, respectively. Calibration curves, such as the commonly adopted logistic ogive in relation to log dose, are fitted by weighted least squares to observed counts directly using empirical weights proportional to the reciprocal of estimated counting variance. The advantage of this method is that all observations contribute to the calibration in accordance with their merit.


2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Alina-Mihaela Badescu ◽  
Alexandra Saftoiu

Salt deposits can be used as a natural dielectric medium for a UHE cosmic neutrino radio detector. Such a detector relies on the capability of reconstructing the initial characteristics of the cosmic neutrino from the measured radio electrical field produced at neutrino’s interaction in salt by the subsequent particle shower. A rigorous characterization of the propagation medium becomes compulsory. It is shown here that the amplitude of the electric field vector is attenuated by almost 90% after 100 m of propagation in a typical salt rock volume. The heterogeneities in salt also determine the minimal uncertainty (estimated at 19%) and the resolution of the detector.


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