Title :
A closed-form integral model of spiral inductor using the Kramers-Kronig relations
Author :
Chen, C.C. ; Huang, J.K. ; Cheng, Y.T.
Author_Institution :
Dept. of Electron. Eng., Nat. Chiao Tung Univ., Hsinchu, Taiwan
Abstract :
In this letter, a closed-form integral model is presented for the rectangular micromachined spiral inductor. The Kramers-Kronig relations provide an elegant theory to describe the inductor behavior without having complicated geometric analysis. Simulation and measurement results validate that the model can provide satisfactory prediction to the inductance of on-chip freely-suspended spiral inductors. Meanwhile, unlike conventional Greenhouse-based formulations, the self-resonant frequency of inductor can be predicted using the integral model.
Keywords :
Kramers-Kronig relations; inductors; integral equations; radiofrequency integrated circuits; semiconductor device models; Kramers-Kronig relations; closed-form integral model; geometric analysis; radio frequency integrated circuit; rectangular micromachined inductor; self-resonant frequency; spiral inductor; Absorption; Circuit simulation; Dispersion; Frequency; Inductance; Inductors; Predictive models; Radiofrequency integrated circuits; Resonance; Spirals; Kramers–Kronig relations; radio frequency integrated circuit (RFIC); self-resonant frequency; spiral inductor;
Journal_Title :
Microwave and Wireless Components Letters, IEEE
DOI :
10.1109/LMWC.2005.859019
