Huygens principle

Continued part 1, part 2 of ebook "Physics of oscillations and waves: With use of Matlab and Python" provides readers with contents including: Chapter 10 - Reflection, transmission and polarization; Chapter 11 - Measurements of light, dispersion, colours; Chapter 12 - Geometric optics; Chapter 13 - Interference diffraction; Chapter 14 - Wavelet transform; Chapter 15 - Coherence, dipole radiation and laser; Chapter 16 - Skin depth and waveguides;...

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Lecture Physics A2: Diffraction. After studying this section will help you understand: diffraction by a single slit, diffraction by N slits, diffraction Grating, X-ray diffraction,...

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The article is devoted to Circle covering problem for a bounded set in a two- dimensional metric space with a given amount of circles. Here we focus on a more complex problem of constructing reserve and multiply coverings. Besides that, we consider the case where covering set is a multiply-connected domain. The numerical algorithms based on fundamental physical principles, established by Fermat and Huygens, is suggested and implemented. It allows us to solve the problems for the cases of non-convex sets and non-Euclidean metrics.

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Since its first demonstration in 1960, the laser has found widespread application in diverse areas including medicine, materials processing, optical communications and information technology. The number of engineers and scientists working on lasers or in laser related fields is continuously increasing as new applications for this exciting technology are being discovered. This also means that more and more people need to gain a detailed knowledge of lasers and their characteristics.

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BASIC THEORY OF ELECTROMAGNETIC SCATTERING 1 11 . 12 . . 13 14 . 2 3 4 Dyadic Green’s Function Green’s Functions Plane Wave Represent at ion Cylindrical Waves Spherical Waves Huygens’ Principle and Extinction Sensing and Bistatic Theorem Scattering 54 54 55 57 59 60 66 68 73 73 and Active Remote Coefficients Optical Reciprocity Reciprocity Reciprocal Scattering Symmetry Eulerian T-Matrix T-Matrix Unitarity Theorem

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Diffraction When light passes an edge, it will deviate from rectilinear propagation. This phenomenon (which is a natural consequence of the wave nature of light) is known as diffraction and plays an important role in optics. The term diffraction has been conveniently defined by Sommerfeld as ‘any deviation from rectilinear paths which cannot be interpreted as reflection or refraction’. A rigorous theory of diffraction is quite complicated. Here we develop expressions for the diffracted field based on Huygens’ principle of secondary spherical wavelets.

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