(0 chapter: basic knowledge)
grad
important vector identities
(2)
(1)
eulers formula
with …
gaussian (formula integral)
plane wave
div
div: sink or source?
Laplacian
curl / rot
curl / rot:
curl = 0 ?
curl < 0 ?
curl > 0 ?
eigenvalues
delta function (FT)
linear = ?
homogenous = ?
isotropic = ?
Matrixaddition
Matrixmultiplication
(chapter 2)
auxilary fields
MW equ. macroscopic
MW eq. microscopic
charge density and current density
either use
P, M, electric and magnetic constant
E, B, D, H, roh, j
real part of E
FT of E
MW in FD
and
time domain derivation
wave eq. for the magnetic field
frequency domain derivation for the electric field (wave eq.)
frequency domain for the magnetic field (wave eq.)
Decoupling of the vectorial wave eq. (rot rot of E with polarisation)
Basics of linear response theory: P in FD and TD
Basic of the linear responce theory: response function R
Basic of the linear responce theory: susceptibility
R —> FT —>
Lorenz-solution:
!!!!!!!!!!!!!!!!!!
wave eq. for the electric field
without current density
and also the auxiliary fields for this case
—> Helmholtz equ.
Helmholtz equ.
(in FD and TD)
(for homogeneous media)
(in FD)
(for inhomogeneous media)
?
Pol.? in FD
and susceptibility (definition and sum)
current density in FD
with
conductivity:
—> plasma frequency:
hormonic oscillator equation?
A) Dielectrics (isulators) in the IR spectral range
B) Dielectrics (in the VIS spectral range
(and Sellmeier formula)
Sellmeier formula:
Sellmeier formula
C) metals in the visible spectral range
D and P in FD for homogeneous and isotropic media
Dielectrics: Drude-Lorenz-model of bound charges as damaped harmonic oscillators
P(r,t)=…
Metals:
Drude-Lorenz-model of free charges with no restoring forces.
j(r,t)=…
time averaged Poynting vector
… shows …
… energie flux
formula:
Time averaged Poynting vector
intensity with poynting vector?
Time averaged Poynting vector:
generalized dielectric function
Poyntings theorem:
energie flux
not so important:
….
(chapter 3)
HIER weiter machen!!!!!!!!!!!!!!!!!!!!!!
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