Synthesis of Beam Lines with Necessary Properties

In this paper a new approach to the problem of synthesis of beam lines is discussed. Usually this problem can be overcome by the use of numerical simulation and opti mal control theory methods. But this results in sufficiently great number of variable parameters and functions. Obviously, that this d...

Full description

Saved in:
Bibliographic Details
Main Author: Andrianov, S.N.
Format: Conference Proceeding
Language:English
Subjects:
Algebra
Degradation
Focusing
Length measurement
Linear approximation
Numerical simulation
Optical beams
Optimal control
Particle beams
Process design
Online Access:Request full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper a new approach to the problem of synthesis of beam lines is discussed. Usually this problem can be overcome by the use of numerical simulation and opti mal control theory methods. But this results in sufficiently great number of variable parameters and functions. Obviously, that this degrades quality of a modeling procedure. The suggested approach is demonstrated on a problem of a microprobe design problem. Essence of the problem is that necessary to design a high precision focusing system which satisfies some additional conditions. For solution of this problem we use an algebraic treatment based on Lie algebraic methods and computer algebra techniques. Using the symmetry ideology this approach allows rewriting beam properties to enough simple conditions for control parameters and functions. This leads a set of desired solutions and show results in some most suitable form. Moreover, this approach decreases the number of variable parameters.
ISSN:1944-4680
2152-9582
DOI:10.1109/PAC.2005.1590670