Solutions to axion electrodynamics in various geometries

Recently there has been a surge of new experimental proposals to search for ultralight axion dark matter with axion mass, m_{a}≲1  μeV. Many of these proposals search for small oscillating magnetic fields induced in or around a large static magnetic field. Lately, there has been interest in alternat...

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Main Authors: Bogorad, Zachary, Ouellet, Jonathan L, Bogorad, Zachary A.
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: American Physical Society 2019
Online Access:http://hdl.handle.net/1721.1/121020
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author Bogorad, Zachary
Ouellet, Jonathan L
Bogorad, Zachary A.
author2 Massachusetts Institute of Technology. Department of Mathematics
author_facet Massachusetts Institute of Technology. Department of Mathematics
Bogorad, Zachary
Ouellet, Jonathan L
Bogorad, Zachary A.
author_sort Bogorad, Zachary
collection MIT
description Recently there has been a surge of new experimental proposals to search for ultralight axion dark matter with axion mass, m_{a}≲1  μeV. Many of these proposals search for small oscillating magnetic fields induced in or around a large static magnetic field. Lately, there has been interest in alternate detection schemes which search for oscillating electric fields in a similar setup. In this paper, we explicitly solve Maxwell’s equations in a simplified geometry and demonstrate that in this mass range, the axion-induced electric fields are heavily suppressed by boundary conditions. Unfortunately, experimentally measuring axion-induced electric fields is not feasible in this mass regime using the currently proposed setups with static primary fields. We show that at larger axion masses, induced electric fields are not suppressed, but boundary effects may still be relevant for an experiment’s sensitivity. We then make a general argument about a generic detector configuration with a static magnetic field to show that the electric fields are always suppressed in the limit of large wavelength.
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spelling mit-1721.1/1210202022-10-03T11:12:13Z Solutions to axion electrodynamics in various geometries Bogorad, Zachary Ouellet, Jonathan L Bogorad, Zachary A. Massachusetts Institute of Technology. Department of Mathematics Massachusetts Institute of Technology. Department of Physics Massachusetts Institute of Technology. Laboratory for Nuclear Science Ouellet, Jonathan L Bogorad, Zachary A. Recently there has been a surge of new experimental proposals to search for ultralight axion dark matter with axion mass, m_{a}≲1  μeV. Many of these proposals search for small oscillating magnetic fields induced in or around a large static magnetic field. Lately, there has been interest in alternate detection schemes which search for oscillating electric fields in a similar setup. In this paper, we explicitly solve Maxwell’s equations in a simplified geometry and demonstrate that in this mass range, the axion-induced electric fields are heavily suppressed by boundary conditions. Unfortunately, experimentally measuring axion-induced electric fields is not feasible in this mass regime using the currently proposed setups with static primary fields. We show that at larger axion masses, induced electric fields are not suppressed, but boundary effects may still be relevant for an experiment’s sensitivity. We then make a general argument about a generic detector configuration with a static magnetic field to show that the electric fields are always suppressed in the limit of large wavelength. National Science Foundation (U.S.) (Award No. 1806440) 2019-03-18T17:02:25Z 2019-03-18T17:02:25Z 2019-03 2018-09 2019-03-12T18:00:11Z Article http://purl.org/eprint/type/JournalArticle 2470-0010 2470-0029 http://hdl.handle.net/1721.1/121020 Ouellet, Jonathan and Zachary Bogorad. "Solutions to axion electrodynamics in various geometries." Physical Review D, 99, 055010 (2019) en http://dx.doi.org/10.1103/PhysRevD.99.055010 Physical Review D Creative Commons Attribution http://creativecommons.org/licenses/by/3.0 application/pdf American Physical Society American Physical Society
spellingShingle Bogorad, Zachary
Ouellet, Jonathan L
Bogorad, Zachary A.
Solutions to axion electrodynamics in various geometries
title Solutions to axion electrodynamics in various geometries
title_full Solutions to axion electrodynamics in various geometries
title_fullStr Solutions to axion electrodynamics in various geometries
title_full_unstemmed Solutions to axion electrodynamics in various geometries
title_short Solutions to axion electrodynamics in various geometries
title_sort solutions to axion electrodynamics in various geometries
url http://hdl.handle.net/1721.1/121020
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