Abstract
A multigap resonant cavity can simply be regarded as either a slow-wave structure (SWS) with shorted ends or as a resonator. However, two distinct physical images will be obtained when characterizing the electromagnetic properties of such circuits. In particular, dispersion is no longer a necessary concept from the resonant cavity perspective. The periodicity of the circuit and the synchronization characteristics with the beam are incorporated in the longitudinal electric field shape. Thus, we present insights from the resonant cavity perspective by taking the resonant rectangular grating SWS as an example. It is found that even if the fields are originally expressed as normal modes, they can be transformed into the space harmonic form. This is thought to be the result of the periodicity of the circuit, which provides a connection between the multigap resonant cavity and the SWS. We present the findings and discuss their physical significance.
Highlights
Extended-interaction devices are promising terahertz radiation sources due to their high power, moderate bandwidth, and compact size.1–4 These features are largely due to the special interaction circuitry of their multigap resonant cavity
From the slow-wave structure (SWS) perspective, the electromagnetic properties of the finite length resonant SWS have been studied,7 where the formation of axial modes was interpreted as the transmission and reflection of the space harmonics
We derived the eigenequation for the modes instead of the dispersion relation of the space harmonics
Summary
Extended-interaction devices are promising terahertz radiation sources due to their high power, moderate bandwidth, and compact size. These features are largely due to the special interaction circuitry of their multigap resonant cavity. From the SWS perspective, the electromagnetic properties of the finite length resonant SWS have been studied, where the formation of axial modes was interpreted as the transmission and reflection of the space harmonics This occurs for a multigap resonant cavity when the reflection coefficients at both ends are equal to 1. We know that dispersion is important for the SWS because it plays a vital role in the synchronization characteristics of the circuit for interactions with electron beams This poses the question of how the dispersion relations for the synchronization characteristics of the resonant periodic circuits are characterized, for the multigap resonant cavity. The behavior of the multigap resonant cavity is highly dependent on its circuit length (or number of periods) We can address this more generally from the resonant cavity perspective..
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