Intensity of light transmitted by a polarizer when the incident light is unpolarized

my question is similar to this older one, but I have not enough privileges to answer it or comment on it. I do realize that the question has received detailed answers by Selene Routley, and I sort of get them. My concern is for high school students who barely know integrals, let alone distributions or quantum mechanics. Our textbook does not mention...

9h

'Isotropy' for Clausius-Mossotti equation

The famous C-M equation $$ \mathbf E_{\text{eff}} = \mathbf E + \frac{\mathbf P}{3\epsilon_0} $$ for an isotropic dielectric made of point dipoles relates the field that a dipole experiences, $\mathbf E_{\text{eff}}$, the spatial average of the microscopic field at the dipole's location, $\mathbf E$, and the net dipole moment (in the same volume...

3d

Zee Quantum Field Theory page 35

About spin 2 polarization tensors $$\varepsilon_{\mu\nu}^{(a)}, $$ it is claimed that $$\sum_{a} \varepsilon_{\mu\nu}^{(a)}(k)\varepsilon_{\lambda\sigma}^{(a)}(k) = A(G_{\mu\lambda}G_{\nu\sigma}+G_{\mu\sigma}G_{\nu\lambda}) + B(G_{\mu\nu}G_{\lambda\sigma}),$$ with normalization by setting $$ \sum_a \varepsilon_{12}^{(a)}(k)\varepsilon_{12}^{(a)}(k)...

3d

Is perfectly monochromatic light always polarized and vice-versa?

Is perfectly monochromatic light always polarized and polarized light always monochromatic? I am not totally sure but I think that the answer to the first is 'YES'. Because if a radiation is unpolarized, its polarization changes randomly with time so that a Fourier analysis would immediately tell us that it composed of many frequencies. What about polarized...

5d

Can Gauss law can be used at this situation?

We define the following dielectric and the plate. The dielectric of the permeability $\epsilon$ exists. The plate which has the infinite length and the plate was made of the dielectric. It has been assumed that the plate is placed in the vacuum vertically against the x-axis of cartesian coordinate system. We define the $3$ domains. domain $1:=$...

6d

Calculating the degree of polarization of reflecting light, given the angle of incidence and IOR's of the interfacing materials

I am looking for in an equation thats spits out the degree of polarization of reflected light, with incidence angle and the refractive indexes as inputs. This article that has a graph that describes the degree of polarization as a value between 0 and 1 plotted against the angle of incidence. https://www.osapublishing.org/DirectPDFAccess/6F93302A-C5AC-4609-85C53BE23D278A3B_363594/ao-56-19-G36.pdf?da=1&id=363594&seq=0&mobile=no...

1w

Double-Slit with Polarizing Filter

A polarizing filter is placed in front of each slit with the two filters aligned perpendicularly to each other. My question is why does the produced pattern not have any dark bands? In terms of what happens to the waves to prevent destructive interference from taking place?

2w

Landau's derivation of polarization

In "Electrodynamics of Continuous Media" Landau writes the following: The total charge in the volume of the dielectric is zero; even if it is placed in an electric field we have $\int\bar{\rho}dV=0$. This integral equation, which must be valid for a body of any shape, means that the average density can be written as the divergence of a certain vector,...

2w

How do e-rays and o-rays relate to the optical axis?

I'm unsure exactly what happens for birefringence and how the things named in title relate.

3w

If the Brewster's angle is considered to happen with no reflection, then how is the refraction angle considered to be 90°?

So basically my questions are these: Is the refraction angle always 90 in relation to Brewster's angle? And if the refraction angle is the angle between the reflected ray and the ray that passed the surface, and if there's no reflection for the Brewster's angle(which is how Wikipedia defined it), then how is there a refraction angle? Giving many...

3w