LEADER 04223nam 22006015 450 001 9910254635203321 005 20200705031347.0 010 $a4-431-55803-9 024 7 $a10.1007/978-4-431-55803-3 035 $a(CKB)3710000000621824 035 $a(EBL)4455189 035 $a(SSID)ssj0001654051 035 $a(PQKBManifestationID)16433175 035 $a(PQKBTitleCode)TC0001654051 035 $a(PQKBWorkID)14982231 035 $a(PQKB)10778314 035 $a(DE-He213)978-4-431-55803-3 035 $a(MiAaPQ)EBC4455189 035 $a(PPN)192770691 035 $a(EXLCZ)993710000000621824 100 $a20160322d2016 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aFrom Tracking Code to Analysis $eGeneralised Courant-Snyder Theory for Any Accelerator Model /$fby Etienne Forest 205 $a1st ed. 2016. 210 1$aTokyo :$cSpringer Japan :$cImprint: Springer,$d2016. 215 $a1 online resource (351 p.) 300 $aDescription based upon print version of record. 311 $a4-431-55802-0 320 $aIncludes bibliographical references and index. 327 $aIntroduction -- The linear transverse normal form: one degree of freedom -- The nonlinear transverse normal form: one degree of freedom -- Classification of linear normal forms -- Nonlinear normal forms -- Spin normal form -- The nonlinear spin-orbital phase advance: the mother of all algorithms -- Deprit-Guignard perturbation theory faithful to the code -- Here is the conclusion of this book -- Phasors basis: why do I reject symplectic phasors? -- The logarithm of a map -- Stroboscopic average for the ISF vector n -- Hierarchy of Analytical Methods. 330 $aThis book illustrates a theory well suited to tracking codes, which the author has developed over the years. Tracking codes now play a central role in the design and operation of particle accelerators. The theory is fully explained step by step with equations and actual codes that the reader can compile and run with freely available compilers. In this book, the author pursues a detailed approach based on finite ?s?-maps, since this is more natural as long as tracking codes remain at the centre of accelerator design. The hierarchical nature of software imposes a hierarchy that puts map-based perturbation theory above any other methods. The map-based approach, perhaps paradoxically, allows ultimately an implementation of the Deprit-Guignard-Schoch algorithms more faithful than anything found in the standard literature. This hierarchy of methods is not a personal choice: it follows logically from tracking codes overloaded with a truncated power series algebra package. After defining abstractly and briefly what a tracking code is, the author illustrates most of the accelerator perturbation theory using an actual code: PTC. This book may seem like a manual for PTC; however, the reader is encouraged to explore other tools as well. The presence of an actual code ensures that readers will have a tool with which they can test their understanding. Codes and examples will be available from various sites since PTC is in MAD-X (CERN) and BMAD (Cornell). 606 $aParticle acceleration 606 $aPhysics 606 $aComputer programming 606 $aParticle Acceleration and Detection, Beam Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P23037 606 $aNumerical and Computational Physics, Simulation$3https://scigraph.springernature.com/ontologies/product-market-codes/P19021 606 $aProgramming Techniques$3https://scigraph.springernature.com/ontologies/product-market-codes/I14010 615 0$aParticle acceleration. 615 0$aPhysics. 615 0$aComputer programming. 615 14$aParticle Acceleration and Detection, Beam Physics. 615 24$aNumerical and Computational Physics, Simulation. 615 24$aProgramming Techniques. 676 $a530 700 $aForest$b Etienne$4aut$4http://id.loc.gov/vocabulary/relators/aut$0746327 906 $aBOOK 912 $a9910254635203321 996 $aFrom Tracking Code to Analysis$92533250 997 $aUNINA