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Notes on McMorran's Thesis.nb
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Notes on McMorran's Thesis.nb
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"CHAPTER 2 - PRESENT STUDY\n\n2.1 - Theory\n\tInterference -- of one and \
two grating systems highly sensitive to:\n\t\tLocation & Orientation of \
Gratings\n\t\tCollimation and Spatial Coherence of Illuminating Beam\n\t\n\
Appendix A. Model for partial coherence and wavefront curvature in grating \
interferometers (McMorran, 2008)\n\tDevelops an understanding of role of \
spatial coherence in an interferometer\n\tCan be used to efficiently model \
variety of interferometers with gratings\n\tAssumes gratings illuminated by \
Gaussian Schell-model (GSM) beam:\n\t\tA particular kind of coherent wave \
field\n\t\tProvides efficient way to model:\n\t\t\t1. Width of illuminating \
beam \n\t\t\t2. Its spatial coherence\n\t\t\t3. How its divergence or \
convergence affects the behaviour of the interferometer\n\t\tAn appropriate \
model for real beams in atom and electron optics, as discussed in Appendix B. \
Gaussian Schell source as model for slit-collimated atomic and molecular \
beams (McMorran, 2008)\n\t\tMain purposes:\n\t\t\t1. to explain how a GSM \
beam can be made using two consecutive Gaussian slits\n\t\t\t2. to \
quantitatively compare this arrangement to atom beam sources used in matter \
wave interferometers\nSoftware code that implements theory can be found in \
Appendix L, used to generate all of the simulations of interference patterns \
featured in the dissertation\n\n2.2 - Experiments\n\nWhy must the gratings \
must be coated with metal?\n\nAPPENDIX A - MODEL FOR PARTIAL COHERENCE AND \
WAVEFRONT CURVATURE IN GRATING INTERFEROMETERS\n\nIf optical beam is \
sufficiently coherent, then downstream of transmission grating on finds, in \
order:\n\t1. Shadow of grating bars\n\t2. Talbot revivals\n\t3. Far-field \
(Fraunhoffer) diffraction patterns\nSecond grating can be added to make \
doubly diffracted beams overlap, forming Mach-Zehnder interferometer\n\nIf \
optical beam is disordered, ie. incoherent, then\n\t1. Talbot revivals & \
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harder to isolate\n\nIn general, to analyze interference phenomena one needs \
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paper, expression derived [Eq. 18]:\n\n\tthat models:\n\t\t1. Talbot revivals\
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