Optimal transport of particle beams

Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment

Volumn 384, Issue 2-3, 1997, Pages 322-332

  Allen, Christopher K ^a   Reiser, Martin ^a  

^a UNIVERSITY OF MARYLAND   (United States)

Author keywords

49 Calculus of variations and optimal control; 65p99 none of the above, but in this section (nonlinear programming); 77g05 electron and ion beams; Optimization

Indexed keywords

COMPUTER AIDED DESIGN; DYNAMIC PROGRAMMING; ELECTRON TRANSPORT PROPERTIES; MATHEMATICAL MODELS; NONLINEAR PROGRAMMING; OPTIMAL CONTROL SYSTEMS; OPTIMIZATION; PARTICLE BEAM DYNAMICS; VARIATIONAL TECHNIQUES;

MULTISTAGE CONTROL NETWORKS; PARTICLE BEAM TRANSPORT; SOFTWARE PACKAGE SPOT;

PARTICLE BEAMS;

EID: 0030783274     PISSN: 01689002     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9002(96)00796-6     Document Type: Article

References (10)

1. C.R. Chang, E. Horowitz and M. Reiser, SPIE Vol. 1226, Intense Microwave and Particle Beams (1990) p. 483.
2. I.M. Kapchinskij and V.V. Vladimirskij, Proc. Int. Conf. on High-Energy Accelerators and Instrumentation, CERN, 1959, pp. 274-288.
3. M. Reiser, Theory and Design of Charged Particle Beams (Wiley, 1994), Chapts. 4.4.2, 3.4.2.
4. F.R. Sacherer, IEEE Trans. Nucl. Sci. NS-18 (1971) 1105.
5. A.E. Bryson and Y.C. Ho, Applied Optimal Control (Wiley, 1975), Chapt. 2.
6. W.P. Press, B.P. Flannery, S.A. Teukolsky and W.T. Vetterling, Numerical Recipes in C, The Art of Scientific Computing (Cambridge University Press, 1988), Chapt. 15.
7. See any standard text on nonlinear programming such as D.G. Luenberger, Linear and Nonlinear Programming, 2nd Ed. (Addison-Wesley, 1984), Chapt. 8.
8. P.P Varaiya, Notes on Optimization (Van Nostrand Reinhold, 1972), Chapt. 9.
9. S.K. Guharay, C.K. Allen and M. Reiser, Nucl. Instr. and Meth. A 339 (1994) 429.
10. See any advanced text on ordinary differential equations, such as E.A. Coddington and N. Levinson, Theory of Ordinary Differential Equations (McGraw-Hill, 1955) Chapts. 1, 2.