| Several issues in the design of linear accelerator structures are examined in the context of producing electron beams for free electron lasers. Among the issues discussed are: accelerator structure requirements of harmonic acceleration; advantages of short, high gradient, low impedance, superconducting structures; interactions of an electron beam with structure modes, with particular attention given to anomalously trapped modes and regenerative beam breakup; and finally, acceleration gradient limitations in the proposed structures. Results and analysis of tests of two prototype structures are also presented.; The major findings of this dissertation are: (1) harmonic acceleration of relativistic electrons can produce a superior beam when the fundamental and harmonic fields are spatially separated rather than superimposed; (2) single or double cell, low impedance, superconducting structures have definite advantages over traditional accelerator structures in dealing with higher order structure modes; (3) electron multipacting may be effectively eliminated with appropriate design of the accelerator cell geometry; and (4) superconducting structures of the type described herein may be expected to consistently reach 8 MV/m acceleration gradients, limited by electron field emission, if high thermal conductivity niobium is used in construction. |