TY - GEN
T1 - Metamaterials, Gyroscopes, and two century-old problems in number theory
AU - Steinberg, Ben Z.
AU - Kazma, I.
N1 - Publisher Copyright:
© 2020 IEEE.
PY - 2020/9/27
Y1 - 2020/9/27
N2 - We discuss the electrodynamics of slowly rotating metamaterials as observed in their rest frame of reference, and present a corresponding first order polarizability theory. A formulation governing the response of an arbitrary array of scatterers to excitation under rotation is provided and used to explore the rotation footprint properties, whith applications to non-reciprocal dynamics, rotation sensors and optical gyroscopes. The metamaterial sensitivity to rotation is rigorously defined, and the associated physical mechanisms are exposed. These can be intimately related to two century-old problems in number theory: the no-three-in-line problem, and the Heilbronn triangle problem. New arrays, base on Erds solution to the former, are proposed. It is shown that structures inspired by Erds solution may achieve rotation sensitivities that outperform that of the Sagnac loop gyroscope.
AB - We discuss the electrodynamics of slowly rotating metamaterials as observed in their rest frame of reference, and present a corresponding first order polarizability theory. A formulation governing the response of an arbitrary array of scatterers to excitation under rotation is provided and used to explore the rotation footprint properties, whith applications to non-reciprocal dynamics, rotation sensors and optical gyroscopes. The metamaterial sensitivity to rotation is rigorously defined, and the associated physical mechanisms are exposed. These can be intimately related to two century-old problems in number theory: the no-three-in-line problem, and the Heilbronn triangle problem. New arrays, base on Erds solution to the former, are proposed. It is shown that structures inspired by Erds solution may achieve rotation sensitivities that outperform that of the Sagnac loop gyroscope.
UR - http://www.scopus.com/inward/record.url?scp=85099291266&partnerID=8YFLogxK
U2 - 10.1109/Metamaterials49557.2020.9284972
DO - 10.1109/Metamaterials49557.2020.9284972
M3 - ???researchoutput.researchoutputtypes.contributiontobookanthology.conference???
AN - SCOPUS:85099291266
T3 - 2020 14th International Congress on Artificial Materials for Novel Wave Phenomena, Metamaterials 2020
SP - 382
EP - 384
BT - 2020 14th International Congress on Artificial Materials for Novel Wave Phenomena, Metamaterials 2020
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 14th International Congress on Artificial Materials for Novel Wave Phenomena, Metamaterials 2020
Y2 - 27 September 2020 through 3 October 2020
ER -