Rhett AllainNew #electrodynamics #physics video - looking at reflection and transmission of electromagnetic waves. Snell's law and Brewster's angle.
Here's a #python animation I made for #electrodynamics
YouTube
j_bertolotti#PhysicsFactlet
Scattering VS Extinction
In #Optics, the concepts of scattering and extinction are closely related. So closely related that many people tend to confuse them.
Imagine to illuminate a small object with a beam of light. If the object is small the scattered field will be essentially a spherical wave, and the total field will be the incident one plus the scattered field.
If we were able to measure directly the field (as we can do in the microwave regime) we could happily stop here, but in optics we can only measure intensities, and the intensity is defined as the time average of the modulus of the Pointing vector. In most cases of interest, the modulus of the Poynting vector is proportional to the modulus squared of the electric field (which explains why we often that a shortcut and just talk about |E|²).
So the quantity we measure is proportional to |Eᵢₙ +Eₛ|², which is the sum of the Poynting vector of the incident field, the Poynting vector of the scattered field, plus the cross terms. These cross terms are what we usually call "extinction" and are the result of the interference between the incident and scattering fields(and the reason why you get a "shadow" behind the scatterer).
Here is my lecture on EM plane waves for #electrodynamics #physics. Yes, I include a #python model for a plane wave
Electrodynamics: Maxwell's Equations and Plane Waves
Paul Balduf#paperOfTheDay "On the identification of gravitation with a massless spin 2 field" from 1986. This article deals with the general theory of #relativity . Namely, if one starts from a generic field theory of a spin-2 particle, the resulting theory has a symmetry that suggests to identify it with general relativity. However, if one stays as closely as possible analogous to #electrodynamics and the conventional assumptions of field theory (fields decay at infinity), then the only possibility seems to be that the universe is asymptotically flat an has no holes or any other topological features, and the cosmological constant must be zero.
I am not sufficiently familiar with general relativity to assess if this is in fact the only possible conclusion. In any case, the paper is a nice exposition of field theory with spin 2, a topic which is not usually covered in introductory physics lectures.
https://link.springer.com/article/10.1007/BF03053785
I am not sufficiently familiar with general relativity to assess if this is in fact the only possible conclusion. In any case, the paper is a nice exposition of field theory with spin 2, a topic which is not usually covered in introductory physics lectures.
https://link.springer.com/article/10.1007/BF03053785
On the identification of gravitation with a massless spin 2 field - Acta Physica Hungarica
The identification of gravitation with a massless spin 2 field (the gauge group is the symmetry group of translations) requires to restrict the solutions of Einstein’s equations to the class of topologically trivial manifold. It is shown that the validity of this restriction in nature is supported by the present-day empirical facts. The identification has a drastic impact on cosmology, because the fulfilment of the cosmological principle is claimed to be improbable.
Michael Katzmann🐈This is an interesting paper examining the transmission of DC current as ω→0 in the telegrapher's equation using the Heaviside step function.
Abstract—We explore the question of how direct current (DC) power is transmitted by electromagnetic fields in TEM/Quasi-TEM structures despite the static curl laws ∇ × E = 0 and ∇ × H = J. In this work we treat DC as the long-time limit of a causal step excitation.
I think this #physics #python video turned out better than I expected. Verifying Faraday's Law for #electrodynamics
Electrodynamics: Modeling Faraday's Law with Python - Part 2
New #physics #python #electrodynamics post. Deeper dive into Faraday's law - using the changing magnetic vector potential to calculate the electric field to show emf = -dPhi/dt
https://rjallain.medium.com/the-boom-moment-using-python-to-show-faradays-law-always-works-2f79e5941cf0?sk=c0a11665abb669f1671ac91a762c9119
https://rjallain.medium.com/the-boom-moment-using-python-to-show-faradays-law-always-works-2f79e5941cf0?sk=c0a11665abb669f1671ac91a762c9119
New #physics #electrodynamics video. Calculating the force and torque on a loop of current near a bar magnet. Of course I do this two ways - first by treating the loop as a bunch of tiny wires and second using m x B and del(m dot B). #python
https://youtu.be/GqPPqCDN7go
https://youtu.be/GqPPqCDN7go
