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01:01:34 Linear Imaging Theory Linear Imaging Theory	Linear Imaging Theory 2017 PARADIM Linear Imaging Theory Robert Hovden d.n.a. dark field aperture size object function total intensity collaboration increases concepts in physics convergence angle area spherical aberration wide range covering today geometric shapes d.n.a. structure central minimum electron microscopy focal point intensity increases linear imaging model wave vectors control theory optical devices collection angle larger aperture electron microscope high angle architectural elements signal processing photography high pass filter transfer function uncorrected system phase shift darkfield regime functional form scattered electrons higher frequency bright field stem egyptian artefact types diffraction pattern science of photography point spread function high intensity probe elementary geometry integrals spatial frequency optics objective lens bright field regime bright spots real space low frequency reciprocal space blurring contribution sphere collaboration uncorrected instrument characteristic dimension incoherent imaging condition surfaces aperture function wave front atomic physics imaging mode contract transfer function white noise scanning transmission electron cohere imaging previous lecture distant plane elementary shapes stem higher angles high resolution incoherent linear image mil rating detector geometries field cone geometry types of functions aberration corrected constant phase length lower frequencies chromatic aberration conic sections amplitude squared aberration free scientific techniques microscopes measuring instruments intensity squared optic axis intensity decreases contrast transfer diffraction limit stem image individual atom radio spectrum incoherent imaging quantum mechanics aberration free probe multivariable calculus people meters focal plane bright field low angle amateur radio systems theory image plane coherent imaging condition collecting electrons blurring function transmission electron microscopy physical quantities digital photography angular spread double integral coherent imaging largest range face shift higher order aberrations raleigh criterion pio fairly interpretable transmission electron microscope square pulse geometrical optics digital signal processing 1st order caption complete probe tails nyquist limit blue curve subroutines broadcasting filter frequency response maximum frequency high frequency caustic curve hand side low pass filter spatial coordinates atoms closer coherent image sparrow criterion structural system pico meter dark background frequency space optimal aperture t.m. complex conjugate contrast transfer function wave function measure ultimately imaging condition annular darkfield incoherent imaging mode atomic number field stem atomic column inelastic interactions nobel prize angle medium chemistry focal imaging probe size From James Overhiser 78 plays
$Thumbnail for entry Diffraction (Part 1)$ 01:18:03 Diffraction (Part 1) Diffraction (Part 1)	Diffraction (Part 1) 2017 PARADIM Diffraction part 1 David Muller d.n.a. solid pole concepts in physics outgoing spherical wave positive nuclei ray diffraction experiment atomic physics diffracted beam nicely lined higher order silicon atom electron microscopy focal point image intensity zone axis symmetry zone axes optical devices fia fraction pattern teaching shape factor electron microscope audio engineering high angle nuclear physics fit scattering beautiful thing good approximation thin sample imaging method chip chip chip reciprocal lattice phase shift elastic scattering digital audio english indie rock groups diffraction pattern diffraction space geometric optics chemical elements big angles spatial resolution small angle scattering elementary special functions badly tilted spatial frequency adam layer real space lattice spacing delta function small angle measurement crystallography particle physics musical quintets time frequencies quantum chemistry scattering happened 1st column scattering oral communication plane wave atom column biology and pharmacology of chemical elements titanium column multi slice transmission function electron beam finite object surface normal big spacing periodic crystal soft moon forward direction synchrotron-related techniques wave number constant phase infinite series change shape travel parallel infinitely large crystal scientific techniques main thing sol microscopes mathematical physics contrast imaging optic axis shape fact transition metals initial wave forward scattering stem image reciprocal space spherical wave electronics terminology quantum mechanics field image neighboring column 1st approximation reducing agents fourier analysis analytic geometry furcal wave focal plane time varying bright field angle scattering order spot multi slice simulation image plane didactics scattering event physical aperture diffraction spot momentum space physical quantities phoria transform times worse 2nd ring single atom objective aperture dietary minerals absorption and radiative transfer (optics) trigonometry strong phase approximation unit cell field imaging carbon nitrogen stem mode metals diffraction peak inverse angstroms english alternative rock groups dog field geometrical optics parallel beam 1st order momentum transfer atomic resolution image year transform crystallography definition periodic table fiber optic waveguide pyrotechnic fuels central spot semiconductor materials mathematical notation caption complete finite size lattice image d.c. large angle fall field sine wave fraction spot functional analysis random orientation t.m. bad news initial wave function educational psychology acoustics information theory diffraction atomic number long rod wave function From James Overhiser 135 plays