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Published byAlfred Grant Modified over 9 years ago
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due to the oscillating charge in the antenna Along this line one does not observe any acceleration Radiation from a dipole-antenna To get the dimension right ! Electromagnetic radiation Here one observes the full acceleration, but delayed in time by R/c ! Guess that 2
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Polarisation P=cos 2 (ψ) P=1
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Interference (mathematical) z r k’ Q Number density many wavecrest k 1 2 as drawn #2 is behind #1 for ”in” but ahead for ”out”, therefore ” – ” Phase 0. 1,2 … many
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The dream experiment
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1,2 … many
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Detector Viewing Field Detector X-ray beam Kr Gas cell Measuring atomic and molecular formfactors from gas scattering
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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
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Unit sphere dd dd r Q r
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Fourier transform of a Gaussian
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Convolution of 2 Gaussians i.e. h(x) is also Gaussian with
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Side View Top View Ring wave (2D) or Spherical wave (3D) Energy density Surface area locally a plane wave
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Aperture d Almost plane wave when Perfect plane wave k’ k A point scatterer in the beam Spherical wave Defines the scattering cross section Area is scattering length
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2L L =(N+1)( 2L L =N No real beam is perfectly monochromatic From the 2 equations, derive the longitudinal coherence length P( wavelength band
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No real beam is perfectly collimated P( D LTLT Here and B beams in phase A and B out-of-phase show from the figure that With R being the distance from to source observation point A B The transverse coherence length
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Absorption
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The experimental setup X-rays Sample Rotation Scintillator 20 m CCD < 2 mdeg E = 8-27 keV 0.7 x 0.7 mm
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Tomography Study the bulk structures, 3D Nondestructive Small lengthscales (350 nm) Fra http://www.unge-forskere.dk/ Galathea III Single slice 100 microns
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Compton Scattering Energy and momentum conservation
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