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This monograph describes lumped-element modeling techniques for inductively-coupled pulsed accelerators, starting from the basic physical description of the various processes and then bringing all the pieces together into solutions. Coilguns, inductive pulsed plasma thrusters, and compact toroids have each been individually studied using the methods used in this monograph. This monograph is of interest to researchers and graduate students in physics, engineering, and mathematics presently studying inductively-coupled pulsed accelerators.
Devices and machines that couple with and accelerate objects through a magnetic field have become ubiquitous in our lives over the last century. Examples can be found in a wide variety of applications, from everyday electric induction motors to high-tech maglev trains, from in-space plasma thrusters to pumps for conducting fluids, from particle accelerators to fusion reaction drivers. In this monograph, we describe a modeling technique and how it applies to specific types of accelerators that are inductively-coupled to conducting media, driving currents in the media through the application of time-varying magnetic fields.
Inductively-coupled accelerators, while sharing many similarities with directly-coupled accelerators, such as railguns or pulsed plasma thrusters, are different in distinct ways. While the moving media complete the circuit in directly-coupled accelerators, the external drive circuit in an inductive accelerator is completed independent of the moving, accelerated body. As such, current in the external drive circuit of an inductive accelerator can flow without any moving media present. In addition, the current in the directly-coupled circuit is in line with and driven by the external power source, while the current in the moving inductively-coupled media is driven by time-varying fields in the manner described above. This makes time variation of the current in the external drive circuit necessary and essential to the inductively-coupled acceleration process. Finally, if current in the external circuit is flowing without a movable, conducting media present, then the energy driven in the external circuit will simply be resistively dissipated without performing any useful work