Duality-symmetric axion electrodynamics and haloscopes of various geometries

Abstract Within the dual symmetric point of view, theory for seeking axion dark matter via haloscope experiments is derived by exactly solving electrodynamics equation. Notwithstanding that conventional presented in [9,11] more commonly used theory, we show has advantages to apply into theory. First, and perspective coincide under long-wavelength approximation. Moreover, can obtain an exact analytical expression axion-induced electromagnetic field any states axion. This solution been The difference between two theories occur directional detection or electric sensing haloscopes. For illustrative purposes, consider various type resonant cavities: cylindrical solenoid, spherical two-parallel-sheet cavity, toroidal solenoid with a rectangular cross-section, circular cross-section. resonance signal as well ratio energy over stored inside cavity are investigated these types cavity.