scholarly journals New didactic formulation of the laws of reflection of light

Author(s):  
Ángel Luis Pérez-Rodríguez ◽  
Guadalupe Martínez-Borreguero ◽  
María Isabel Suero-López

This work presents a new formulation of the laws of reflection of light, and it is shown the equivalence between the new and the classic formulations. The proposed formulation has a significant educational value, as it allows drawing analogies between the phenomena of light reflection and elastic collisions, which are very well known by students. The new developed statement of the law of reflection allows the resolution of traditional problems of geometrical optics, and in some cases the solution is much simpler and more intuitive than that obtained using the traditional statement of the laws of reflection. As an example, this formulation is applied for the resolution of the classic reflection problem of the three plane mirrors forming a trirectangular trihedron, also known as corner reflector.

2019 ◽  
Vol 54 (5) ◽  
pp. 055024 ◽  
Author(s):  
Himawan Putranta ◽  
Abdul Aziz Nur Rohman ◽  
Ernasari ◽  
Rida Siti Nur’aini Mahmudah ◽  
Wipsar Sunu Brams Dwandaru

2020 ◽  
pp. paper16-1-paper16-13
Author(s):  
Vladimir Budak ◽  
Dmitry Efremenko

One of the most critical problems of realistic visualization of the real-world objects is physically adequate modeling of their reflection of light. Reflection of light by objects occurs both from the surface and the bulk of matter (scattering). Accounting for the light reflection from the surface of objects was solved almost a century ago based on its representation as a Fresnel randomly rough surface. Scattering by a bulk of matter is the subject of radiation transfer theory, which has only recently received its known completion in the form of discrete transfer theory. Strict analytical methods for solving the radiation transport equation (RTE) are often not highly effective for calculating the radiance factor. For a long time, in the absence of effective numerical methods for solving problems and the unavailability of high-speed computers for practical calculations, approximate methods for solving RTE were developed. However, their accuracy and applicability limits were poorly defined. The discrete transfer theory allowed us to evaluate the existing approximate methods for solving the UPI, their accuracy, and the efficiency of application for calculating the radiance factor. It is shown that the most effective method is the method of synthetic iterations. The method is based on the selection of the solution anisotropic part based on a small-angle approximation of the RTE solution. The solution regular part can be calculated by any approximation. Then a simple iteration from the complete solution is performed to refine the angular distribution of the radiance factor.


In the Rede Lecture which he delivered in 1878 Clerk Maxwell wrote : ‘ The special educational value of this combined study of music and acoustics is that more than almost any other study it involves a continual appeal to what we must observe for ourselves.’ It had been the defect of musical theory in the preceding century or more that it had continually failed to make this appeal. If, however, we go to earlier days still, to the sixteenth and seventeenth centuries, before Rameau (1683-1764) ‘ discovered ’ the so-called chord of nature in the harmonic overtones of a musical note, we find a different story. True, we find the curious-minded speculating, as the Pythagoreans had done, about the fundamental nature of music ; but we do not find them laying down the law for composers, as the English neo-Pythagoreans attempted to do in the nineteenth century. From this point of view, as well as from that of the history of acoustics, some of the early papers in the Philosophical Transactions are as significant as they are interesting. Two of these papers appear, at first sight, to be primarily scientific. Their importance in the history of musical theory will emerge later in this paper.


1970 ◽  
Vol 2 (02) ◽  
pp. 202-216
Author(s):  
Abdur Rokhim Hasan

This article tries to explain that the Qur'an explains a lot about musabaqah, but it is general in nature. Because of his generality, in this case, the writer traces the law and his views through the views of the commentators' scholars. In addition, the author also traces the traditions of the Prophet that explain the recommended reading of the Qur'an with a melodious song and voice. The results of this study prove that musabaqah existed at the time of the Prophet, even the Prophet did. Many scholars believe that the implementation of the Musabaqah Tilawatil Qur’an (MTQ) is permissible, even encouraged. In addition, musabaqoh indirectly has an educational value, namely competitive character education.


1996 ◽  
Vol 118 (1) ◽  
pp. 161-165
Author(s):  
K. Yamaguchi ◽  
M. Uchida ◽  
F. Mondori

In the present study, the authors propose a method to determine the pressure distribution acting on contact surfaces and detail the development of a measuring device. The principle of pressure measurement is based on the scattered reflection of light from the surface after contact. The device developed measures the pressure distribution and displays it in three dimensions. Pressure distributions measured on various contact surfaces are shown.


2013 ◽  
Author(s):  
Ángel Luis Pérez ◽  
Guadalupe Martínez ◽  
María Isabel Suero

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