Phenomena and Principles of Neutron Optics ... By applying the principles of
neutron optics,we can build ... Fundamental aspects of Neutron Optics ,V.F.Sears.
Conf. on Neutron Scattering, Oak Ridge National Laboratory. Brun T 0, Carpenter J M, Krohn V, Ringo G R, Cronin J W, Dombeck T W, Lynn J W and Werner S.
We will discuss polarized light; some of the optical components used to control, ...
Since light is a transverse wave, the polarization state .... retardation will be M +
0.25 where M is an integer in the range of ~ 12 to 24 waves. .... A relativel
[Schmidtke & Stille 2003]. Absorptive dyes are mainly used to ..... Hans-Peter Herzig and Dr. Holger Stark for reviewing the thesis and being members of the jury.
Reconfiguring process of polarization states. A polarization state depends on the relative phases and the amplitudes of its two orthogonal components.
May 2, 2018 - [4] S.I.Vinitsky, V.L.Derbov, V.N.Dubovik, B.L.Markovski, and Yu.P.Stepanovsky,. Sov. Phys. Usp. 33 (1990) 403. [5] D.N. Klyshko, Phys. Lett.
We study the effects of vacuum polarization and bound atoms on the atmosphere
structure and spectra. ... features due to bound species; therefore, spectral lines
or features in thermal radiation are ... E-mail address: [email protected]
(W.
The Role of Electric Polarization in Nonlinear optics. Sumith Doluweera.
Department of Physics. University of Cincinnati. Cincinnati, Ohio 45221. Abstract.
Apr 1, 2001 - imaging based on polarization gating in diluted milk and chopped chicken breast tissue, ... ing of human tissues based on time gating of trans-.
matches or exceeds the best ever reported. APPLICATIONS. Fast neutron ... (PSD) methods exploit this effect to separate
Aug 11, 2004 - alloy, core. The magnetic field created by the solenoid ... polarimeter's magnetic field. ... 495 turns of 16 AWG Super Hyslik1 200 magnet wire.
Jul 25, 2013 - perform the ppt. In this paper, two fundamental studies to realise ppt are ... protein crystallography (NPC) is one of the most powerful ... However, the hydrogen atom has a large neutron ... proton polarization without destroying the
Sep 16, 2015 - case of blackbody emission from a neutron star with either a dipolar or a ...... Weisskopf M.C., Silver E. H., Kastenbaum K. S., Long K. S.,.
Neutron polarimetry. 6. Neutron spin transport/flipping. General references: V.F.
Sears, Neutron Optics, Oxford 1989. Rauch and Werner, Neutron Interferometry,
...
Neutron Optics and Polarization T. Chupp University of Michigan With assistance from notes of R. Gähler; ILL Grenoble
1.
Neutron waves
2.
Neutron guides
3.
Supermirrors break
4.
Neutron polarization
5.
Neutron polarimetry
6.
Neutron spin transport/flipping
General references: V.F. Sears, Neutron Optics, Oxford 1989 Rauch and Werner, Neutron Interferometry, Oxford 2000 Fermi: Nuclear Physics (notes by Orear et al. U. Chicago Press - 1949) QM Text (e.g. Griffiths)
Optics Optics: the behavior of light (waves) interacting with matter Waves characterized by wavelength λ Matter characterized by permeability κ, susceptibility µ, dissipation (ρ/σ) Interaction characterized by n (index of refraction); δ (skin depth)
Useful when " >> a (atomic spacing)
!
deBroglie: massive particles behave as waves
k=
2" p = # h
2 2
kB T = !
pc 2mc 2
2 2 4 # (hc) "2 = 2mc 2 k B T
mc2 = = 939.6 MeV
!
! MeV-fm = 1973 eV-Å hc = 197.3 v = 2200 m/s
!
λ = 1.8 Å
(thermal neutrons - 300° K)
Note also: " #
!
1 T
Wave Properties Ey
• Polarization • Reflection
• Refraction • Interference
Superposition
different x Vertically polarized light
mirror
i
meaning
(angle of incidence = angle of reflection)
r
i t
+
ni sin i = nt sin t n=c0/cc0=2.97x108 m/s = m λ=W sin θ
• Diffraction
The wave equations for light and matter waves in vacuum: k=
2" p = # h
EM wave equation (E, B)
Schrödinger equation
2 1 % # m $# 2 2 =0 Time dependent: " # $ !2 " # + 2i =0 2 c %t h $t r r r "( r ,t) = ak e i( k # r $% k t ) v v Time independent 2 2 " #( Helmholtz ! equation: ! r ) + k #(r ) = 0 Schroedinger equation
Dispersion relations:!
! Phase velocity:
!
2 E k2 = (hc) 2
2mE k = 2 h 2
" m 2c 2 " c v ph = 1+ 2 # k p kv
" v ph = = c k (E = h" )
!
(
E=
p 2c 2 + m 2c 4
)
Interactions V(r) v 2m v " #( r ) + 2 [ E $ V ( r )] #(r) = 0 Time independent Schroedinger equation h f (# ) ikv $ rv v ikz Incoming plane wave "( r ) = e + e Outgoing spherical wave r 2
!
!
1 2i# l f (" ) = (2l + 1)[e $1]Pl (cos" ) Partial waves % 2ik l ! 1 2i# 0 1 s-wave scattering f (" ) = [e $1] = 2ik [k cot #0 $ ik] "0 = #kro V(r)=0 at ro a
f (" ) = #a + ika 2 + O(k 2 ) !
!
f (" ) # $a
!
a=- δ__0 : scattering length k (-5 fm < a < 15 fm) ka=-δ0 ~ 10-4
Coherent Scattering Lengths _____ a b = A+1 A
element
b (fm)
H
-3.74
Be
7.79
C
6.65
Al
3.45
Si
4.15
Ti
-3.44
Fe
9.45
Co
2.49
Ni/58Ni
10.3/14.4
Cu/65Cu
7.72/10.6
Cd
4.87-0.7i
1 2i# 0 f (" ) = [e $1] 2ik
"0 = #ka
Index of refraction v 2m v 2 " #( r ) + 2 [ E $ V ( r )] #(r) = 0 h v v 2 2 " #( r ) + K #(r ) = 0
Time independent Schroedinger equation
2m v K = 2 [ E " V ( r )] ! h ! For light: c " c = K n k v In general, n is a tensor, i.e. V(r) ! V (r ) v n( r ) = 1" depends on propogation direction E ! 2"h 2 3 r r v V (r ) = # b$ ( r % ri ) Fermi Pseudopotenital m i ! be
