Title :
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
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);
Journal_Title :
Microwave Theory and Techniques, IEEE Transactions on
DOI :
10.1109/TMTT.2015.2434814
