due to the oscillating charge in the antenna Along this line one does not observe any acceleration Radiation from a dipole-antenna R charge ; ( ,) ( /) rad rad E q E Rt observed acceleration t Rc 2 0 1 1 ( ,) ( /) ; 4 rad e E Rt acc t Rc R c To get the dimension right ! Electromagnetic radiation ( /) 0 (/) 0 mass acceleration force=chargefield [ ] ( /) [ ] [ ] [ ] () i t Rc in i t i cR i kR in m acc eE t R c eEe eEe e eE t e 0 2 5 0 2 0 () ; () 1 2.8210 4 i kR rad in E t e r E t R e r Ang mc Here one observes the full acceleration, but delayed in time by R/c ! 1 () rad E R R Guess that 2 2 2 2 1 1 4 rad E energy density radiated energy R R R 2 0 2 2 m /sec Force = Energy 1 ( ,) 4 OK (m /sec) rad e acc eE Rt R c 2
Along this line one does not observe any acceleration. Here one observes the full acceleration, but delayed in time by R/c !. Radiation from a dipole-antenna. Guess that. 2. To get the dimension right !. Electromagnetic radiation. due to the oscillating charge in the antenna. - PowerPoint PPT Presentation
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due to the oscillating charge in the antenna
Along this line onedoes not observeany acceleration
Radiation from a dipole-antenna
R
charge ; ( , ) ( / )rad radE q E R t observed acceleration t R c
20
1 1( , ) ( / ) ;
4rad
eE R t acc t R c
R c
To get the dimension right !
Electromagnetic radiation( / )
0
( / )0
mass acceleration force=charge field
[ ] ( / ) [ ]
[ ]
[ ] ( )
i t R cin
i t i c R
i kRin
m acc e E t R c e E e
e E e e
e E t e
0
25
0 20
( ) ;
( )
1 2.82 10
4
i kRrad
in
E t er
E t R
er Ang
mc
Here one observes the full acceleration,but delayed in time by R/c !
1( )radE R
R
Guess that
2 22 2
1 14radE energy density radiated energy R
R R
20
2
2
m/sec Force = Energy
1( , )
4
OK(m/sec)
rad
e acce E R t
R c
2
Polarisation
P=cos2(ψ)
P=1
Interference (mathematical)
z
r
rk zkz
in
2
k’ Q
rk ' outrQrkk )' ( res
0. . (1 )isc ampl r e Q r
0. . ( ) isc ampl r e d Q rr r
Number density
0. . ji
j
sc ampl r e Q r
many
wavecrest
k1
2
as drawn #2 is behind #1 for ”in”
but ahead for ”out” , therefore ” – ”
Phase
0 .
1,2 … many
The dream experiment
2 *2 1 2 2 2 2;i iA f e f e I A A 1Q r Q r
2 2
1 2 1 2
2 1 2 1 2
( ) ( )2 21 2 1 2 1 2
{ } { }
i i i i
i i
I f e f e f e f e
f f f f e f f e
1 1Q r Q r Q r Q r
Q r r Q r r
2 2 122 1 2 1 2.
12
sin( )2
orient average
Q rI f f f f
Q r
2
.
sin( )2 i j
i i jorient averagei i j i j
Q rI f f f
Q r
1,2 … many
DetectorViewingField
Detector
X-ray beam
Kr
Gas cell
sin2
)(2sin
1 2
kQ
QfIntensity
Measuring atomic and molecular formfactors from gas scattering
j
ijmol
ielatom
jeff
def
rQ
rQ rr)(
a=[15.2354 6.70060 4.35910 2.96230]; b=[3.0669 0.241200 10.7805 61.4135];c=1.71890; % Ga
a=[16.6723 6.0710 3.4313 4.27790];b=[2.63450 0.2647 12.9479 47.7972];c=2.531; % As