Solutions to axion electrodynamics in various geometries

Ouellet, J. L.; Bogorad, Zachary

doi:10.1103/physrevd.99.055010

Cited by 59 publications

(74 citation statements)

References 45 publications

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“…Since we are in free space we have µ = 1, = 1, ρ f = 0, and J f = 0. A full analytic solution can be obtained with the theory of retarded potentials for the axion charge and current terms [59,60] as in equations (2.13) and (2.14), because in our approach the axion-Maxwell equations are decoupled. This gives an electric field of…”

Section: Free Spacementioning

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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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: Free Spacementioning

confidence: 99%

A first look on 3D effects in open axion haloscopes

Knirck¹,

Schütte-Engel²,

Millar³

et al. 2019

J. Cosmol. Astropart. Phys.

View full text Add to dashboard Cite

show abstract

“…Using further that the external B-field is generated by a current j e with ∇ × B ext = j e one can rewrite this expression as 2 [17] (up to a missing factor 1/4π). There, they have been derived as solutions of the Maxwell's equations with the method of retarded Green's functions, confirming the equivalence of the two methods.…”

Section: Zero-velocity Axionsmentioning

confidence: 99%

“…We discuss the effect of gradient terms, and show that in the limit of a homogeneous axion field, we recover the results of Refs. [17,18], which were obtained by solving the classical Maxwell's equations to leading order in g aγ and imposing the relevant boundary conditions. In section 3, we provide an explicit example by applying our method to the case of an infinitely long solenoid.…”

Section: Introductionmentioning

confidence: 99%

Axion-electrodynamics: a quantum field calculation

Beutter

Pargner

Schwetz

et al. 2019

J. Cosmol. Astropart. Phys.

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An axion background field induces tiny oscillating electric and magnetic fields in an external static magnetic field. This signature is used to search for axion dark matter. We use standard quantum field theory techniques to obtain an expression for a transition amplitude, from which we identify the classical electromagnetic fields induced by the background axion field. We confirm previous results, that if the spatial size R of the applied static magnetic field is small compared to the axion Compton wavelength λ, the induced electric and magnetic fields are parametrically suppressed by the small numbers (R/λ) 2 and R/λ, respectively, relative to the case when R is larger than λ. Our approach allows an intuitive interpretation in terms of 4-momentum conservation and momentum exchange via the photon propagator.

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“…The Lagrangian (1) implies that a time-dependent background density of ADM modifies Maxwell's equations. In particular, in the presence of a static magnetic field B 0 , ADM generates an oscillating magnetic field, B a , as if sourced by an effective AC current density parallel to B 0 [8], J eff = g aγγ 2ρ DM B 0 cos(m a t).…”

Section: Introductionmentioning

confidence: 99%

First Results from ABRACADABRA-10 cm: A Search for Sub- μeV Axion Dark Matter

et al. 2019

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The axion is a promising dark matter candidate, which was originally proposed to solve the strong-CP problem in particle physics. To date, the available parameter space for axion and axion-like particle dark matter is relatively unexplored, particularly at masses ma 1 µeV. ABRACADABRA is a new experimental program to search for axion dark matter over a broad range of masses, 10 −12 ma 10 −6 eV. ABRACADABRA-10 cm is a small-scale prototype for a future detector that could be sensitive to the QCD axion. In this Letter, we present the first results from a 1 month search for axions with ABRACADABRA-10 cm. We find no evidence for axion-like cosmic dark matter and set 95% C.L. upper limits on the axion-photon coupling between gaγγ < 1.4 × 10 −10 GeV −1 and gaγγ < 3.3 × 10 −9 GeV −1 over the mass range 3.1 × 10 −10 eV -8.3 × 10 −9 eV. These results are competitive with the most stringent astrophysical constraints in this mass range.

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Solutions to axion electrodynamics in various geometries

Cited by 59 publications

References 45 publications

A first look on 3D effects in open axion haloscopes

A first look on 3D effects in open axion haloscopes

Axion-electrodynamics: a quantum field calculation

First Results from ABRACADABRA-10 cm: A Search for Sub- μeV Axion Dark Matter

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