This reference text covers the description, theory and history of room-sized or smaller ring accelerators and Paul traps for the exploration of advanced concepts and techniques in accelerator physics. The book describes the physics of five distinct small ring accelerators, or related devices, as case studies of scaled experiments to illustrate diverse accelerator and beam physics principles with potential applications to advanced larger machines: 1) small electron storage ring at University of Maryland; 2) larger electron/proton ring at Fermilab; 3) compact ion ring accelerator; 4) model fixed-field alternating gradient machine (a cyclotron/synchrotron-like device) that operated in the UK; and 5) Paul traps as RF (radio-frequency) very compact simulators of accelerators. The appendix summarizes basic scaling laws applicable to ring accelerators. It also includes a brief description of computer resources and examples for modelling accelerators.

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