Title :
A numerical method for determining the coupling strengths and resonant frequencies of a nonperiodic coupled cavity chain
Author :
Foley, M. ; Jurgens, T.
Author_Institution :
Fermi Nat. Accel. Lab., Batavia, IL, USA
Abstract :
Traditionally the coupling strengths and individual cavity resonant frequencies for a chain of coupled oscillators with periodic or biperiodic geometry have been calculated from the dispersion relation. A dispersion relation does not exist for a chain of coupled oscillators with nonperiodic geometry. A numerical procedure for estimating the unknown coupling strengths and resonant frequencies for individual elements of coupled oscillator chains has been developed and tested. This procedure has the novel capability that it is applicable to both periodic and nonperiodic structures
Keywords :
beam handling equipment; cavity resonators; biperiodic geometry; coupled oscillator chain; coupling strengths; dispersion relation; nonperiodic coupled cavity chain; nonperiodic structures; periodic geometry; periodic structures; resonant frequencies; Acceleration; Coupling circuits; Dispersion; Equations; Geometry; Nearest neighbor searches; Oscillators; Q factor; Resonance; Resonant frequency;
Conference_Titel :
Particle Accelerator Conference, 1993., Proceedings of the 1993
Conference_Location :
Washington, DC
Print_ISBN :
0-7803-1203-1
DOI :
10.1109/PAC.1993.309035
