Title :
Invariant metrics for Hamilton systems
Author :
Rangarajan, Govindan ; Dragt, Alex J. ; Neri, Filippo
Author_Institution :
Lawrence Berkeley Lab., California Univ., CA, USA
Abstract :
Invariant metrics are constructed for Hamiltonian systems. These metrics give rise to norms on the space of homogeneous polynomials of phase-space variables. For an accelerator lattice described by a Hamiltonian, these norms characterize the nonlinear content of the lattice. Therefore, the performance of the lattice can be improved by minimizing the norm as a function of parameters describing the beam-line elements in the lattice. A fourfold increase in the dynamic aperture of a model FODO cell is obtained using this procedure.<>
Keywords :
beam handling techniques; Hamilton systems; accelerator lattice; beam-line elements; homogeneous polynomials; invariant metrics; model FODO cell; phase-space variables; Equations; Lattices; Polynomials; Solids; Storage rings;
Conference_Titel :
Particle Accelerator Conference, 1991. Accelerator Science and Technology., Conference Record of the 1991 IEEE
Conference_Location :
San Francisco, CA, USA
Print_ISBN :
0-7803-0135-8
DOI :
10.1109/PAC.1991.164726
