An Empirical Expression to Predict the Resonant Frequencies of Archimedean Spirals

Author

Hooker, Jerris W. ; Ramaswamy, Vijaykumar ; Arora, Rajendra K. ; Edison, Arthur S. ; Withers, Richard S. ; Nast, Robert E. ; Brey, William W.

Author_Institution

Nat. High Magn. Field Lab., Florida State Univ., Tallahassee, FL, USA

Volume

63

Issue

7

fYear

2015

fDate

Jul-15

Firstpage

2107

Lastpage

2114

Abstract

This paper 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 ten or more turns.

Keywords

dielectric properties; high-temperature superconductors; method of moments; superconducting resonators; Archimedean spirals; disk-shaped spiral; empirical expression; fundamental resonances; ground plane; high-temperature superconducting spiral resonators; higher order resonances; method-of-moment simulations; resonant frequency prediction; thin-ring spiral; uniform dielectric medium; Coils; High-temperature superconductors; Integrated circuit modeling; Nuclear magnetic resonance; Probes; Spirals; High-temperature superconducting (HTS) spiral resonators; nuclear magnetic resonance (NMR);

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/TMTT.2015.2434814

Filename

7117033