WITHDRAWN: Theoretical models of axion electromagnetism for haloscope searches

Hoang, Phuong Le; Jeong, J. H.; Cao, Binh Xuan; Shin, Yunchang; Ko, ByungRok; Semertzidis, Yannis K.

doi:10.1016/j.dark.2017.04.004

Cited by 5 publications

(17 citation statements)

References 22 publications

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“…Previous axion-electrodynamics studies [29,42,48] for cavity setups aim to find modes of closed cavities. In the case of a dish antenna and dielectric haloscopes we are Figure 1: Exemplary mesh for a minimal dielectric haloscope, which consists of a circular PEC at z = 0.02 m and a dielectric disk of thickness 0.5 cm, as considered in section 7.…”

Section: Specialized Finite Element Methods (Fem)mentioning

confidence: 99%

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A first look on 3D effects in open axion haloscopes

Knirck¹,

Schütte-Engel²,

Millar³

et al. 2019

J. Cosmol. Astropart. Phys.

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We explore finite size 3D effects in open axion haloscopes such as a dish antenna, a dielectric disk and a minimal dielectric haloscope consisting of a mirror and one dielectric disk. Particularly dielectric haloscopes are a promising new method for detecting dark matter axions in the mass range above 40 µeV. By using two specialized independent approaches -based on finite element methods and Fourier optics -we compute the electromagnetic fields in these settings expected in the presence of an axion dark matter field. This allows us to study diffraction and near field effects for realistically sized experimental setups in contrast to earlier idealized 1D studies with infinitely extended mirrors and disks. We also study axion velocity effects and disk tiling. Diffraction effects are found to become less relevant towards larger axion masses and for the larger disk radii for example aimed at in full size dielectric haloscopes such as MAD-MAX. The insights of our study not only provide a foundation for a realistic modelling of open axion dark matter search experiments in general, they are in particular also the first results taking into account 3D effects for dielectric haloscopes.

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Section: Specialized Finite Element Methods (Fem)mentioning

confidence: 99%

“…However, it is computationally very expensive to solve this highly coupled system of PDEs. To obtain uncoupled equations, we extend the perturbation approach [42,43] to all fields, i.e., we expand all fields in g aγ :…”

Section: )mentioning

confidence: 99%

A first look on 3D effects in open axion haloscopes

Knirck¹,

Schütte-Engel²,

Millar³

et al. 2019

J. Cosmol. Astropart. Phys.

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“…For general haloscope experiments (see for examples [17,[20][21][22][23] and references therein), the induced electromagnetic fields E ind and B ind are considered as response from the presence of axion when nonzero external magnetic field B 0 = B 0 (r) and zero external electric field i.e E 0 = 0 are applied. The Klein-Gordon equation of axion field (7) simply becomes the one of free axion:…”

Section: B Axion Haloscope Under Dual Symmetric Axion Electrodynamics...mentioning

confidence: 99%

“…a a 2 is axion self Lagrangian which preserves the duality relation under the substitution of axion coupled term, ω a is the angular frequency of the axion 's oscillation and g aγγ is axion-biphoton coupling constant [16]. From equation (1), the new set of modified Maxwell equations proposed by L. Visinelli is manifested as the following [12,13,17,18]:…”

Section: Introductionmentioning

confidence: 99%

“…Therefore, in the viewpoint of duality conservation, the conventional axion electrodynamics equations (4) are valid if and only if there is magnetic monopole sources ρ m = 0, J m = 0. Inversely, when there is no magnetic monopole sources ρ m = 0, J m = 0, the axion electrodynamics equations becomes [12,13,17,18] ∇ ∇ ∇ • (E − cg aγγ aB) = ρ e ε 0 (6a)…”

Section: Introductionmentioning

confidence: 99%

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Duality-symmetric axion electrodynamics and haloscopes of various geometries

Le,

Hoang,

Cao

2021

Preprint

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Duality-symmetric axion electrodynamics and haloscopes of various geometries

Hoang

Cao

2022

J. Cosmol. Astropart. Phys.

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

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WITHDRAWN: Theoretical models of axion electromagnetism for haloscope searches

Cited by 5 publications

References 22 publications

A first look on 3D effects in open axion haloscopes

A first look on 3D effects in open axion haloscopes

Duality-symmetric axion electrodynamics and haloscopes of various geometries

Duality-symmetric axion electrodynamics and haloscopes of various geometries

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