We are using the textbook by Jin, "Theory and Comutation of Electromagnetic Fields".
In the section on metamaterialshe derives the dispersion relationship. He shows that when ε'= -ε & μ' = μ
then the dispersion equation γ =\sqrt{jωμ( jωε +σ )} = α + jβ goes to
γ = α = ω \sqrt{μ'ε'}...
Homework Statement
ln the figure below you (b, which is taken from Jenö Sólyom Fundamentals of the physics of solids. Volume 2 chapter 19) see the Fermi sphere of radius k_F inside one section in two dimensions of the Brillouin zone of Na. Draw the dispersion relation E(k) from the I point in...
Homework Statement
Homework Equations
The Attempt at a Solution
## v = \frac { \omega } k ##
## \omega = \sqrt{ kg \tanh (k) } ##
I have no idea to guess the graph.
I put g = 9.8 and tried to calculate ## \omega ## for different values of k.
## \omega (0 ) = 0,
\omega...
The Nonlinear Schrodinger Equation (NSE) is presented as:
$$i\frac{∂A}{∂z} = \frac{1}{2}β_2\frac{∂^2A}{∂t^2}-\gamma|A^2|A$$
The steady state solution
$$A(z)$$
Can be derived as an Ansatz given by:
$$ A(z) = \rho(z)e^{i\phi(z)}$$
By substituting and solving the ODE, the steady state...
So I see them in the books labelled as accoustic and optical phonons but I don't seem to find a comprehensive treatment of the matter for a beginner who doesn't know a thing about the dispersion curves. I'd prefer not to dwell too much into the mechanical treatment if possible since I just need...
Hello everybody,
since I have to plan an experiment to map the energy-momentum dispersion of a bosonic excitation, I have a question related to the difference between the excitations probed by Inelastic X-ray Scattering (IXS) and Electron Energy Loss Spectroscopy (EELS). Both the techniques are...