Download e-book for iPad: Principles of Electron Optics. Wave Optics by Peter W. Hawkes, E. Kasper

Posted On April 21, 2018 at 8:23 am by / Comments Off on Download e-book for iPad: Principles of Electron Optics. Wave Optics by Peter W. Hawkes, E. Kasper

By Peter W. Hawkes, E. Kasper

ISBN-10: 0123333547

ISBN-13: 9780123333544

The 3 volumes within the rules OF ELECTRON OPTICS sequence represent the first complete therapy of electron optics in over 40 years. whereas Volumes 1 and 2 are dedicated to geometrical optics, Volume 3 is anxious with wave optics and results because of wave size. topics lined include:

Derivation of the legislation of electron propagation from SchrUdinger's equation

Image formation and the concept of resolution

The interplay among specimens and electrons

Image processing

Electron holography and interference

Coherence, brightness, and the spectral function

Together, those works include a special and informative remedy of the topic. Volume 3, like its predecessors, will supply readers with either a textbook and a useful reference resource.

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Sample text

10). T h e wave-optical calculations pass essentially t h r o u g h t h e s a m e stages as t h e geometrical calculations. In a first step t h e spatial d o m a i n considered is so close t o t h e optic axis t h a t lens a b e r r a t i o n s can b e ignored; this is t h e paraxial domain. T h e corresponding solution describes perfect image for­ m a t i o n in wave-optical t e r m s . W h e n t h e corresponding wavefunctions h a v e b e e n established, t h e second step is t o use t h e m in a p e r t u r b a t i o n calculus a n d t h e r e b y include t h e effect of t h e lens a b e r r a t i o n s .

31 or 1956, eq. 10) in t h e following respects: (i) Relativistic correction t e r m s a r e included. (ii) C h r o m a t i c effects a r e included. 20) becomes m o r e clear w h e n we rewrite it t h u s : T h e first t e r m represents t h e kinetic energy of t h e transverse m o t i o n , t h e second a purely q u a d r a t i c focusing potential T h e r i g h t - h a n d side of t h e wave e q u a t i o n shows t h a t t h e role of t h e t i m e t h a s been t a k e n over by t h e axial coordinate z: t h e transformation dz = ν dt w i t h t h e velocity υ = g/m is self-explanatory.

We again a d o p t t h e n o t a t i o n introduced in C h a p t e r 15: t h e cartesian coordinates in t h e l a b o r a t o r y frame are Χ, Υ, ζ a n d t h e coordinates of t h e r o t a t i n g system x,y,z. 12) if we hold X a n d Y constant. T h i s implies t h a t we have t o distinguish carefully between p a r t i a l a n d t o t a l derivatives w i t h respect t o z, as will shortly become obvious. 156) are scalar invariants; t h e subscripts b e h i n d t h e vertical b a r denote p a r t i a l derivatives w i t h respect t o t h e corresponding coordinates.

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Principles of Electron Optics. Wave Optics by Peter W. Hawkes, E. Kasper

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