KFKI Research Institute for Particle and Nuclear Physics, Budapest, Hungary L. Deák Magnetic domains: theory and evaluation of diffuse resonant evaluation of diffuse resonant photon and photon and neutron scattering neutron scattering Nano-scale Materials: Growth - Dynamics - Magnetism, Nano-scale Materials: Growth - Dynamics - Magnetism, ESRF Grenoble, France ESRF Grenoble, France 6-8 February, 2007 6-8 February, 2007
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KFKI Research Institute for Particle and Nuclear Physics, Budapest, Hungary L. Deák Magnetic domains: theory and evaluation of diffuse resonant photon.
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KFKI Research Institute for Particle and Nuclear Physics, Budapest, Hungary
L. Deák
Magnetic domains: theory and evaluation of Magnetic domains: theory and evaluation of diffuse resonant photon and diffuse resonant photon and
Experiment: L. Bottyán et al. 2002, SPring-8, Japan
L. Bottyán et al., SPring-8, Japan
= 4.6 m
ConclusionsConclusions
SMR and PNR are efficient tools of studying (magnetic) multilayers and thin films
The computer program EFFI2 is available from ftp://nucssp.rmki.kfki.hu/effi2 for fitting off-specular SMR (and soon polarized neutron reflectometry) spectra
A common DWA method was introduced for calculating off-specular SMR, x-ray and polarized neutron reflectometry spectra
The new approximation results in a faster algorithm then the standard DWBA, but has limited range of validity
L.Deák, L. Bottyán, D. L. Nagy, H. Spiering, Yu. N. Khaidukov and Y. Yoda, „Perturbative Theory of Off-Specular Synchrotron Mössbauer Reflectometry”
KFKI Research Institute for Particle and Nuclear Physics, Budapest, Hungary
Joint Institute for Nuclear Research, Dubna, Russia
Defining IIrll we can separate the rcoh (coherent) specular and roff off-specular fields
rr lkIk 22 rr llk II
2 with rrr offcoh
rrr cohlloff kIk II
22 rr offlk II2
11stst DWA DWA
T h e s a m e l i n e a r d i f f e r e n t i a l e q u a t i o n f o r N E U T R O N a n d M Ö S S B A U E R r e f l e c t o m e t r y :
zWzikMzWz
d
d.
I n t h e c a s e o f s t r a t i f i e d m e d i a , w h i c h c o n s i s t s o f S l a y e r s w i t h t h i c k n e s s d l : ( l = 1 . . . S )
M ( z ) = M l = c o n s t . f o r t h e l t h l a y e r , t h e s o l u t i o n m a y b e g i v e n b y t h e 44 c h a r a c t e r i s t i c m a t r i x L , t h a t i s t h e p r o d u c t o f t h e c h a r a c t e r i s t i c m a t r i c e s lll MikdL exp o f t h e i n d i v i d u a l l a y e r s
112212 expexp...exp... MikdMikdMikdLLLL sss .
D e n o t i n g t h e 22 s u b m a t r i c e s o f L w i t h ijL ( i j = 1 , 2 ) t h e 22 r e f l e c t i v i t y m a t r i x r r e a d s
22211211122211211 LLLLLLLLr
. T h e r e f l e c t e d i n t e n s i t y I r i s
rrTrI r , w h e r e i s t h e 22 d e n s i t y m a t r i x o f t h e i n c i d e n t r a d i a t i o n .
THE COMMON FORMALISM:THE COMMON FORMALISM:
rIrLMnf
Method:
EFFI
II2
IIIIIIII d rrrRR llllllC
rrr cohlloff kIk II
22 rr offlk II2
Off-specular SMR: TheoryOff-specular SMR: Theory 11stst DWBA DWBA