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E-raamat: Coherent X-Ray Optics illustrated edition [Oxford Scholarship Online e-raamatud]

(School of Physics, Monash University, Australia)
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Paganin (physics, Monash U.) makes the most of the third-generation synchrotron sources, which have allowed for applications from structural biology to fundamental atomic physics and femtosecond chemistry. In this first book of its kind, Paganin covers x-ray wave-fields in free space, including Fresnel and Fraunhofer diffraction, Kirshcoff and Rayleigh-Sommerfeld diffraction theory and partially coherent fields, x-ray interactions with matter, including wave equations in the presence of scatterers, Born series and dynamic scattering and multislice approximation, x-ray sources and their optical elements and detectors, including diffractive, reflective and refractive optical elements as will as virtual optical elements, coherent x-ray imaging including holography and phase retrieval and singular x-ray optics such as Nodal lines, domain walls and other topological phase defects and polynomial vortex solutions to the d'Alembert equation. One of the appendices includes a review of Fourier analysis. Annotation ©2006 Book News, Inc., Portland, OR (booknews.com)

This book gives a thorough treatment of the rapidly-expanding field of coherent x-ray optics, which has recently experienced something of a renaissance with the availability of third-generation synchrotron sources. It is the first book of its kind. The author begins with a treatment of the fundamentals of x-ray diffraction for both coherent and partially coherent radiation, together with the interactions of x-rays with matter. X-ray sources, optics elements and detectors are then discussed, with an emphasis on their role in coherent x-ray optics. Various facets of coherent x-ray imaging are then discussed, including holography, interferometry, self-imaging, phase contrast and phase retrieval. Lastly, the foundations of the new field of singular x-ray optics are examined. Most topics are developed from first principles, with numerous references given to the contemporary research literature. This book will be useful to x-ray physicists and students, together with optical physicists and engineers who wish to learn more about the fascinating subject of coherent x-ray optics.
X-ray wave-fields in free space
1(63)
Vacuum wave equations for electromagnetic fields
2(3)
Spectral decomposition and the analytic signal
5(1)
Angular spectrum of plane waves
6(4)
Fresuel diffraction
10(6)
Operator formulation
11(1)
Convolution formulation
12(4)
Fraunhofer diffraction
16(2)
Kirchhoff and Rayleigh-Sommerfeld diffraction theory
18(8)
Kirchhoff diffraction integral
18(5)
Rayleigh-Sommerfeld diffraction integrals
23(3)
Partially coherent fields
26(11)
Random variables and random processes
26(3)
Intermediate states of coherence
29(1)
Spatial coherence
30(6)
Temporal coherence
36(1)
The mutual coherence function
37(9)
Propagation of two-point correlation functions
46(13)
Vacuum wave equations
47(3)
Operator formulation
50(3)
Green function formulation
53(5)
Van Cittert--Zernike theorem
58(1)
Higher-order correlation functions
59(1)
Summary
60(4)
X-ray interactions with matter
64(72)
Wave equations in the presence of scatterers
65(6)
The projection approximation
71(6)
Point scatterers and the outgoing Green function
77(6)
First method for obtaining Green function
79(1)
Second method for obtaining Green function
80(3)
Integral-equation formulation of scattering
83(1)
First Born approximation for kinematical scattering
84(13)
Fraunhofer and first Born approximations
86(3)
Angular spectrum and first Born approximation
89(1)
The Ewald sphere
90(7)
Born series and dynamical scattering
97(2)
Multislice approximation
99(2)
Eikonal approximation and geometrical optics
101(7)
Scattering, refractive index, and electron density
108(7)
Inelastic scattering and absorption
115(7)
Compton scattering
115(4)
Photoelectric absorption and fluorescence
119(3)
Information content of scattered fields
122(8)
Scattered monochromatic fields
122(5)
Scattered polychromatic fields
127(3)
Summary
130(6)
X-ray sources, optical elements, and detectors
136(92)
Sources
137(15)
Brightness and emittance
137(1)
Fixed-anode and rotating-anode sources
138(1)
Synchrotron sources
139(6)
Free-electron lasers
145(4)
Energy-recovering linear accelerators
149(2)
Soft X-ray lasers
151(1)
Diffractive optical elements
152(34)
Diffraction gratings
152(8)
Fresnel zone plates
160(9)
Analyser crystals
169(7)
Crystal monochromators
176(2)
Crystal beam-splitters and interferometers
178(5)
Bragg Fresnel crystal optics
183(2)
Free space
185(1)
Reflective optical elements
186(9)
X-ray reflection from surfaces
186(5)
Capillary optics
191(1)
Square-channel arrays
192(1)
X-ray mirrors
193(2)
Refractive optical elements
195(8)
Prisms
195(3)
Compound refractive lenses
198(5)
Virtual optical elements
203(2)
X-ray detectors
205(11)
Critical detector parameters
205(3)
Types of X-ray detector
208(4)
Detectors and coherence
212(4)
Summary
216(12)
Coherent X-ray imaging
228(113)
Operator theory of imaging
230(10)
Imaging using coherent fields
230(7)
Imaging using partially coherent fields
237(1)
Cascaded systems
238(2)
Self imaging
240(14)
Talbot effect for monochromatic fields
242(4)
Talbot effect for polychromatic fields
246(3)
Montgomery effect for monochromatic fields
249(4)
Montgomery effect for polychromatic fields
253(1)
Holography
254(7)
In-line holography
254(4)
Off-axis holography
258(1)
Fourier holography
258(3)
Phase contrast
261(28)
Zernike phase contrast
263(5)
Differential interference contrast
268(2)
Analyser-based phase contrast
270(8)
Propagation-based phase contrast
278(6)
Hybrid phase contrast
284(5)
Phase retrieval
289(21)
Gerchberg-Saxton algorithm and extensions
291(4)
The transport-of-intensity equation
295(6)
One-dimensional phase retrieval
301(9)
Interferometry
310(12)
Bonse-Hart interferometer
311(4)
Young interferometer
315(3)
Intensity interferometer
318(3)
Other means for coherence measurement
321(1)
Virtual optics for coherent X-ray imaging
322(5)
General remarks on virtual optics
322(2)
Example of virtual optics
324(3)
Summary
327(14)
Singular X-ray optics
341(52)
Vortices in complex scalar fields
342(1)
Nodal lines
342(4)
Nodal lines are vortex cores
346(1)
Polynomial vortex solutions to d'Alembert equation
347(4)
Vortex dynamics
351(6)
Vortex nucleation and annihilation
351(2)
Stability with respect to perturbations
353(1)
Vortex interaction with a background field
354(3)
Means of generating wave-field vortices
357(23)
Interference of three coherent plane waves
357(6)
Synthetic holograms
363(7)
Spiral phase masks
370(3)
Spontaneous vortex formation
373(7)
Domain walls and other topological phase defects
380(2)
Caustics and the singularity hierarchy
382(5)
Summary
387(6)
A. Review of Fourier analysis
393(4)
Fourier transforms in one and two dimensions
393(1)
Convolution theorem
394(1)
Fourier shift theorem
395(1)
Fourier derivative theorem
395(1)
Sifting property of Dirac delta
396(1)
B. Fresnel scaling theorem
397(4)
C. Reciprocity theorem for monochromatic scalar fields
401(4)
Index 405


Dr. David Paganin 76 Princes Street Carlton North Victoria 3054 Australia



David Paganin is an optical physicist with particular interests in x-ray and electron optics, although he also works on the optics of both visible light and matter waves. He received his PhD from the University of Melbourne in 1999, for work in deterministic phase retrieval using both matter and radiation wave-fields. From 1999 until 2001 he was a postdoctoral fellow, working at both the University of Melbourne and the Commonwealth Scientific and Industrial Research Organisation (CSIRO), in x-ray phase contrast imaging and phase retrieval. From the beginning of 2002 until the present, he has worked as a physics lecturer at Monash University in Clayton, Australia.

In 2002 he shared an "R&D100 Award" for the co-invention of "Quantitative Phase Microscopy", the core algorithm for which was developed during his PhD studies. He has authored over 30 refereed publications, which have attracted almost 500 citations in the open literature, together with 2 book chapters and 2 patents.