Charged Particle Optics Theory - download pdf or read online

By Timothy R. Groves

ISBN-10: 132263503X

ISBN-13: 9781322635033

ISBN-10: 1482229943

ISBN-13: 9781482229943

ISBN-10: 1482229951

ISBN-13: 9781482229950

Charged Particle Optics thought: An creation

identifies crucial ideas of charged particle optics concept, and derives each one mathematically from the 1st rules of physics. Assuming a sophisticated undergraduate-level realizing of calculus, this booklet follows a logical development, with each one suggestion development upon the previous one. starting with a non-mathematical survey of the optical nature of a charged particle beam, the text:

  • Discusses either geometrical and wave optics, in addition to the correspondence among them
  • Describes the two-body scattering challenge, that's necessary to the interplay of a quick charged particle with matter
  • Introduces electron emission as a realistic final result of quantum mechanics
  • Addresses the Fourier remodel and the linear second-order differential equation
  • Includes difficulties to enlarge and fill within the theoretical information, with strategies provided separately

Charged Particle Optics thought: An Introduction makes a fantastic textbook in addition to a handy reference at the theoretical origins of the optics of charged particle beams. it really is meant to arrange the reader to appreciate the big physique of released learn during this mature box, with the result translated instantly to useful application.

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Extra info for Charged Particle Optics Theory

Sample text

1) and n is the number of degrees of freedom needed to completely specify the system. For example, a three-dimensional Cartesian coordinate system can be used to completely specify position in ordinary space, and has three degrees of freedom. The Qj evolve under the influence of forces, and therefore depend implicitly on the time t. There exist velocities Q˙ j given by {Q˙ j } = Q˙ 1 , Q˙ 2 , . . , d Qj . 3) This is quite general, since n can take on any positive integral value. For example, a system of N interacting particles has n = 3N degrees of freedom.

Alternatively, one could treat the local transverse plane as the complex plane with coordinates u(z) = x(z) + iy(z) and u¯(z) = x(z) − iy(z). Alternatively, one could choose polar coordinates r(z) and θ(z) in the local transverse plane. The best choice is the one which allows one to express the problem in the simplest possible way. 106) ∂xj for j = 1, 2, where Px and Py are the transverse components of canonical momentum. 58). 106) n = P · ˆs = P · 2 δWab = (Pbj δxbj − Paj δxaj ). 108) j=1 In general δWab is non-zero, since the endpoints xaj and xbj can be independently displaced between the two rays by δxaj and δxbj , respectively.

Next we consider the special case where δxa = δxb = 0. 4, where, again, the unperturbed ray is represented by a straight line connecting the beginning point a and the endpoint b. The two neighboring rays emanating from a single point, with infinitesimally differing directions intersect the same endpoint. In this case the endpoints xa and xb are said to be optically conjugate. 59) that δWab = 0. This means that the two rays have identical optical path length Wab . This is equivalent to the statement that δWab is a perfect differential, since the line integral of Wab around the closed path of the two rays is zero.

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Charged Particle Optics Theory by Timothy R. Groves


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