scholarly journals Generalized algorithm for finding the catacaustics of an optical system

Author(s):  
Evgenii Vladimirovich Lyubchinov

The author of the work has proposed an algorithm for determining catacaustics in a “source-reflector” optical system on a plane. Katakaustika is called the envelope of reflected rays from a given curve and the study of catacaustics in the design of optical systems is one of the main tasks. The paper gives examples of solving this problem and presents the corresponding visualization. Particular attention is paid to problems where the source and reflector are curved, because these tasks in the scientific literature have not been previously considered. The presented algorithm is based on the cyclographic projection of the spatial curve of the line and its optical property. It is versatile and suitable for all tasks where the source of optical radiation is given in the form of a central (point), parallel or scattered beam of direct (light rays). The main advantage of the algorithm is that in the end it turns out analytical, i.e. exact solution to the problem of determining catacaustics. The results of the study can be used in applied fields of geometric optics, as well as in various computer-aided design systems specializing in modeling lighting of geometric objects.

Author(s):  
Felicitas Pielsticker ◽  
Ingo Witzke ◽  
Amelie Vogler

AbstractDigital media have become increasingly important in recent years and can offer new possibilities for mathematics education in elementary schools. From our point of view, geometry and geometric objects seem to be suitable for the use of computer-aided design software in mathematics classes. Based on the example of Tinkercad, the use of CAD software — a new and challenging context in elementary schools — is discussed within the approach of domains of subjective experience and the Toulmin model. An empirical study examined the influence of Tinkercad on fourth-graders’ development of a model of a geometric solid and related reasoning processes in mathematics classes.


2018 ◽  
Vol 70 ◽  
pp. 307-315 ◽  
Author(s):  
Erdem Kaya ◽  
Sema Alacam ◽  
Yasin Findik ◽  
Selim Balcisoy

1989 ◽  
Vol 21 (3) ◽  
pp. 185
Author(s):  
Y. Mitani ◽  
H.R.R. Merchand ◽  
E. Velazquez

Author(s):  
Eric H. Nielsen ◽  
John R. Dixon ◽  
George E. Zinsmeister

Abstract The goal of “intelligent” computer-aided-design (CAD) systems is to provide greater support for the process of design, as distinguished from drafting and analysis. More supportive design systems should provide a quick and simple means of creating and modifying design configurations, automating evaluation procedures (e.g., for manufacturing), and automating interfaces to analysis procedures. In this paper we are concerned with the issues of representing in-progress designs so that such goals can be met. A feature-based representation is proposed in which features are defined as possessing not only form but also certain designer intentions regarding geometric relationships. A working experimental version of a design-with-features system using this representation for thin-walled components illustrates its use in composing a design as a configuration of feature-forms, in modifying the design geometry through automatic, intelligent incorporation and propagation of designer-initiated geometry changes, and in providing for the generation of user-defined features. In contrast to constraint-driven simultaneous equation solving methods, this system uses an intent-driven knowledge-based method to propagate and incorporate geometry modifications not only in fully-constrained designs, but also in over- and under-constrained designs. Issues of manageability, extensibility, and computationally efficiency were considered in the development of the core services of the system.


1986 ◽  
Vol 39 (9) ◽  
pp. 1345-1349 ◽  
Author(s):  
Dell K. Allen ◽  
W. Van Twelves

The importance of computer-aided design (CAD) has not been fully appreciated as it relates to computer integrated manufacturing (CIM). The CAD product definition model can provide essential information for many down-stream production, estimating, tooling, and quality assurance functions in the CIM environment. However, the product definition model may be inaccurate or incomplete, thus causing incomplete communication with possible scrap, re-work, and missed production deadlines. Other problems are related to the fact that many of our expert designers are retiring and taking their expertise with them. Merely being able to make 2D or 3D drawings on a CAD workstation does not make its operator a designer. A knowledge of production processes, tolerances, surface finish, and material selection is needed to supplement a designers knowledge of user needs, product functional requirements, operating conditions, cost, quality, and reliability targets. One of the most promising methods for providing timely and accurate information to the designer on an “as-needed” basis is through the use of expert design systems. Such systems promise to bridge the knowledge gap between CAD and CAM and help to incorporate these functions into the overall CIM environment.


2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
A. Alhaj Hasan ◽  
◽  
A.A. Kvasnikov ◽  
S.P. Kuksenko ◽  
T.R. Gazizov ◽  
...  

. Modeling of several antennas by the method of moments in the TALGAT system was performed for comparison with tested results. At first, the published results for half-wave and wave dipoles are compared with our results. Current module distributions and frequency dependences of the real and imaginary parts of the input impedance are obtained. The results showed a good match. Then the published experimental and analytical results for the radiation pattern and frequency dependence of the admittance of the gull shape antenna are compared with our results. The convergence of the results with segment length decreasing is shown. A good match is obtained. It is shown that detailed testing is important in the process of implementation and development of computer-aided design systems


2013 ◽  
Vol 3 (37) ◽  
Author(s):  
Viktor Mikhaylovich Sineglazov ◽  
Dmytro Anatoliovych Svynarenko

Sign in / Sign up

Export Citation Format

Share Document