Methods and restrictions to increase the volume of resonant rectangular-section haloscopes for detecting dark matter axions

Haloscopes are resonant cavities that serve as detectors of dark matter axions when they are immersed in a strong static magnetic field. In order to increase the volume and improve its introduction within dipole or solenoid magnets for axion searches, various haloscope design techniques for rectangular geometries are discussed in this study. The volume limits of two types of haloscopes are explored: based on single cavities and based on multicavities. For both cases, possibilities for increasing the volume in long and/or tall structures are presented. For multicavities, 1D geometries are explored to optimize the space in the magnets. Also, 2D and 3D geometries are introduced as a first step for laying the foundations for the development of these kind of topologies. The results prove the usefulness of the developed methods, evidencing the ample room of improvement in rectangular haloscope designs nowadays. A factor of three orders of magnitude improvement in volume compared with a single cavity based on WR-90 standard waveguide is obtained with the design of a long and tall single cavity. Similar procedures have been applied for long and tall multicavities. Experimental measurements are shown for prototypes based on tall multicavities and 2D structures, demonstrating the feasibility of using these types of geometries to increase the volume in real haloscopes.