Spherical wave transformations leave the form of spherical waves as well as the laws of optics and electrodynamics invariant in all inertial frames. They were defined between 1908 and 1909 by Harry Bateman and Ebenezer Cunningham, with Bateman giving the transformation its name. They correspond to the conformal group of "transformations by reciprocal radii" in relation to the framework of Lie sphere geometry, which were already known in the 19th century. Time is used as fourth dimension as in Minkowski space, so spherical wave transformations are connected to the Lorentz transformation of special relativity, and it turns out that the conformal group of spacetime includes the Lorentz group and the Poincaré group as subgroups. However, only the Lorentz/Poincaré groups represent symmetries of all laws of nature including mechanics, whereas the conformal group is related to certain areas such as electrodynamics. In addition, it can be shown that the conformal group of the plane (corresponding to the Möbius group of the extended complex plane) is isomorphic to the Lorentz group. A special case of Lie sphere geometry is the or Laguerre inversion, being a generator of the . It transforms not only spheres into spheres but also planes into planes. If time is used as fourth dimension, a close analogy to the Lorentz transformation as well as isomorphism to the Lorentz group was pointed out by several authors such as Bateman, Cartan or Poincaré. (Wikipedia).
Polarization of Light: circularly polarized, linearly polarized, unpolarized light.
3D animations explaining circularly polarized, linearly polarized, and unpolarized electromagnetic waves.
From playlist Physics
1_1 Introductory Notes in Transverse Waves.flv
Introductory notes in transverse waves. Explaining the basics behind the sinusoidal wave patterns of transverse waves.
From playlist Physics - Waves
Introduction to Spherical Coordinates
Introduction to Spherical Coordinates This is a full introduction to the spherical coordinate system. The definition is given and then the formulas for converting rectangular to spherical and spherical to rectangular. We also look at some of the key graphs in spherical coordinates. Final
From playlist Calculus 3
1_2 Introductory Notes in Transverse Waves.flv
Introductory notes in transverse waves. Explaining the basics behind the sinusoidal wave patterns of transverse waves.
From playlist Physics - Waves
Separation of Variables - Cylindrical Coordinates (Part 1)
A vibrating drum can be described by a partial differential equation - the wave equation. For a circular drum, the solution for the vibration can be found by using the technique of Separation of Variables in Cylindrical coordinates.
From playlist Mathematical Physics II Uploads
1_4 Introductory Notes in Transverse Waves.flv
Introductory notes in transverse waves. Explaining the basics behind the sinusoidal wave patterns of transverse waves.
From playlist Physics - Waves
Physics - Mechanics: Mechanical Waves (6 of 21) Finding Wave Eq. (with Phase Difference)
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain and develop equation 2 of the (phase difference) wave equation.
From playlist PHYSICS MECHANICS 5: WAVES, SOUND
Protein structure by X-Ray scattering
This video is about how mathematical formulas apply to the physical model based on biological purposes. Proteins are the constructor of life. They do almost all functions in us. And this is extremely important to know their structure. Example protein https://en.wikipedia.org/wiki/P53#/m
From playlist Summer of Math Exposition Youtube Videos
Polarization of electromagnetic waves with examples.
From playlist Physics - Waves
Math 139 Fourier Analysis Lecture 25: Wave equation in R^3 x R
Wave equation in R^3 x R: Fourier transform of the surface measure. Fourier transform of the spherical averaging operator; solution to the Cauchy problem for the wave equation. Cool observation about the solution: Huygen's principle. Wave equation in R^2 x R: Hadamard's method of descen
From playlist Course 8: Fourier Analysis
Black hole perturbation theory (Lecture 3) by Emanuele Berti
DATES Monday 25 Jul, 2016 - Friday 05 Aug, 2016 VENUE Madhava Lecture Hall, ICTS Bangalore APPLY Over the last three years ICTS has been organizing successful summer/winter schools on various topics of gravitational-wave (GW) physics and astronomy. Each school from this series aimed at foc
From playlist Summer School on Gravitational-Wave Astronomy
Lec 19 | MIT 2.71 Optics, Spring 2009
Lecture 19: The 4F system; binary amplitude & pupil masks Instructor: George Barbastathis, Colin Sheppard, Se Baek Oh View the complete course: http://ocw.mit.edu/2-71S09 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.m
From playlist MIT 2.71 Optics, Spring 2009
What We Covered In Graduate Math Methods of Physics
Finished my last lecture of mathematical methods of physics, so today I talk about the topics we covered.
From playlist Informative Videos For Physics Majors
Dispersive Estimates for Schroedinger's Equation with a Time-Dependent Potential - Marius Beceanu
Marius Beceanu Rutgers, The State University of New Jersey; Member, School of Mathematics January 15, 2013 I present some new dispersive estimates for Schroedinger's equation with a time-dependent potential, together with applications. For more videos, visit http://video.ias.edu
From playlist Mathematics
Lec 15 | MIT 2.71 Optics, Spring 2009
Lecture 15: Huygens principle; interferometers; Fresnel diffraction Instructor: George Barbastathis, Colin Sheppard, Se Baek Oh View the complete course: http://ocw.mit.edu/2-71S09 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.m
From playlist MIT 2.71 Optics, Spring 2009
Black hole perturbation theory (lecture 4) by Emanuele Berti
DATES Monday 25 Jul, 2016 - Friday 05 Aug, 2016 VENUE Madhava Lecture Hall, ICTS Bangalore APPLY Over the last three years ICTS has been organizing successful summer/winter schools on various topics of gravitational-wave (GW) physics and astronomy. Each school from this series aimed at foc
From playlist Summer School on Gravitational-Wave Astronomy
Solid State Physics in a Nutshell: Topic 3-1: General Theory of Diffraction
We discuss the general theory of diffraction and build an expression for intensity which can be tested experimentally. We also build a delta k vector which is critical to our understanding of diffraction.
From playlist CSM: Solid State Physics in a Nutshell | CosmoLearning.org Physics
Introduction to Cylindrical Coordinates
Introduction to Cylindrical Coordinates Definition of a cylindrical coordinate and all of the formulas used to convert from cylindrical to rectangular and from rectangular to cylindrical. Examples are also given.
From playlist Calculus 3
Light and Beyond (Lecture 3) by Rajaram Nityananda
SUMMER COURSES : LIGHT AND BEYOND SPEAKER : Rajaram Nityananda (Azim Premji University) DATE : 31 May 2020 to 28 June 2020 VENUE : Online Lectures and Tutorials This short and intensive advanced undergraduate level course starts with the understanding of light as an electromagnetic wave
From playlist Summer Course 2020: Light And Beyond