title: An Empirical Expression to Predict the Resonant Frequencies of Archimedean Spirals.
abstract: This work presents an empirical formula to accurately determine the frequencies of the fundamental and higher order resonances of an Archimedean spiral in a uniform dielectric medium in the absence of a ground plane. The formula is based on method-of-moments simulations which have been experimentally validated. This empirical formula is widely applicable to a broad range of spirals from thin-ring to disk-shaped (ratio of inner to outer radii 0 to 1), with 10 or more turns.
authors.affiliation: National High Magnetic Field Laboratory, Florida State University, Tallahassee, FL 32310 USA.
authors.forename: Jerris W
authors.initials: JW
authors.lastname: Hooker
authors.affiliation: University of Florida and National High Magnetic Field Laboratory, Gainesville, FL 32610 USA.
authors.forename: Vijaykumar
authors.initials: V
authors.lastname: Ramaswamy
authors.affiliation: Department of Electrical and Computer Engineering, Florida State University, Tallahassee, FL, 32310 USA.
authors.forename: Rajendra K
authors.initials: RK
authors.lastname: Arora
authors.affiliation: University of Florida and National High Magnetic Field Laboratory, Gainesville, FL 32610 USA.
authors.forename: Arthur S
authors.initials: AS
authors.lastname: Edison
authors.affiliation: Maxim Integrated, San Jose, CA, 95134 USA.
authors.forename: Richard S
authors.initials: RS
authors.lastname: Withers
authors.affiliation: Out of the Fog Research, Mountain View, CA, 94043 USA.
authors.forename: Robert E
authors.initials: RE
authors.lastname: Nast
authors.affiliation: National High Magnetic Field Laboratory, Florida State University, Tallahassee, FL 32310 USA.
authors.forename: William W
authors.initials: WW
authors.lastname: Brey
keywords: High-temperature superconducting (HTS) spiral resonators; nuclear magnetic resonance