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0 votes
1 answer
123 views

Wave propagation in inhomogeneous media

There is a problem I'm trying to solve for some time now and is about the standard (?) approximation that it is made when one tries to solve the Helmholtz equation in inhomogeneous media, that is \...
user1524841's user avatar
0 votes
1 answer
84 views

Why does the relative permittivity of Sapphire not match the square of its refractive index?

According to the Wikipedia, the refractive index of sapphire is around $n = 1.8$ while its relative permittivity $\varepsilon_{\mathrm r}$ is between $9$ and $11$ (depending on the direction). Given ...
schtandard's user avatar
1 vote
1 answer
112 views

Where can I find tables of the refractive index (real and complex part) or dielectric function as a function of frequency for different materials?

I need this information to do simulations for my master's thesis but I don't know if there is a bibliography or a repository on the internet with this information. They are simple materials, water, ...
2 votes
1 answer
204 views

Reflectivity coefficients at dielectric interface

In the book Principles of Lasers by Orazio Svelto, at chapter 4.3 "Wave Reflection and Transmission at a Dielectric Interface", the author tells that If the wave is initially in the medium ...
SimoBartz's user avatar
  • 1,904
3 votes
0 answers
73 views

Time lag between observed electrical field and polarity of light?

I was listening to the Feynman lectures on physics Vol. 3, Ch.2 the other day, and he was talking about the relationship between light polarity and the electric field of light as it is transmitting ...
Chris's user avatar
  • 361
19 votes
1 answer
2k views

How can the refractive index be below 1 in a dielectric?

Upon checking the optical properties of different dielectrics, I found the interesting case of $Al_2O_3$. It seems to be reported with a refractive index below 1 in the infrared range of $10 - 12~\mu ...
DK2AX's user avatar
  • 4,788
1 vote
2 answers
451 views

Contradiction on the behavior of refractive index

The refractive index is given by: $$ n = \sqrt{\mu_r \epsilon_r} $$ This equation is symmetric about wavelength and is same for all wavelength of light i.e. since $\mu_r$ and $\epsilon_r$ are ...
Parth Goyal's user avatar
1 vote
0 answers
141 views

Dielectric constants from refractive index and absorption spectra

I would like to calculate the dispersion relation (dielectric constants $\varepsilon'$ and $\varepsilon''$) from two spectra: refractive index $n$ and absorption (in %). I tried to use the relation $$\...
DK2AX's user avatar
  • 4,788
1 vote
0 answers
560 views

Reflection and transmission coefficients

Suppose we have a plane wave with s-polarization travelling through a medium with refractive index $n_1$ in direction $\vec{k}$ perpendicular to a surface of a dieletric with refractive index $n_2$; ...
Andrea Caldiroli's user avatar
0 votes
1 answer
2k views

Variation of refractive index with concentration of salt in water

I know that the refractive index of water increases with increased concentration of salt. But I also read that $$n = \sqrt{\varepsilon_r\mu_r}$$ And that the relative dielectric constant decreases ...
Adithya Eshwarla's user avatar
6 votes
2 answers
3k views

Refractive index of dielectric in different frames of reference

The setup A transparent isotropic dielectric medium moving in the negative $x'$ direction at speed $v$ in frame $S'$ is stationary in frame $S$, where it has refractive index $n$. In other words, ...
gj255's user avatar
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