2004
DOI: 10.1109/tmtt.2004.831567
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Mixed-Potential Volume Integral-Equation Approach for Circular Spiral Inductors

Abstract: Abstract-The electromagnetic behavior of circular spiral inductors on layered substrates is analyzed by using the concentric ring approximation. The problem is formulated in terms of mixedpotential volume integral equations. The latter are semianalytically solved within the quasi-one-dimensional approximation. The result is a fast computationally efficient model, which takes into account substrate RF loss, as well as nonuniform current density distribution across inductor windings. The results are in good agre… Show more

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Cited by 19 publications
(11 citation statements)
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“…According to the Eqs. (1)(2)(3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14), the number of independent elements in Figure 1 is reduced form 28 to only seven (L s1 , L p11 , R p11 , C ox1 , R sub1 , C sub1 , C s ). Then, these seven independent model elements will be calculated by the scalable model comprises of the geometry and process parameters.…”
Section: Scalable Modeling Methodologymentioning
confidence: 99%
“…According to the Eqs. (1)(2)(3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14), the number of independent elements in Figure 1 is reduced form 28 to only seven (L s1 , L p11 , R p11 , C ox1 , R sub1 , C sub1 , C s ). Then, these seven independent model elements will be calculated by the scalable model comprises of the geometry and process parameters.…”
Section: Scalable Modeling Methodologymentioning
confidence: 99%
“…High‐accuracy inductor model is vital for the success of radio‐frequency (RF) and millimeter‐wave circuit design . Considerable study works on this topic have been reported in the literature . These modeling methods of spiral inductors are generally described as numerical techniques, behavioral macromodels, and compact circuit models .…”
Section: Introductionmentioning
confidence: 99%
“…1 Considerable study works on this topic have been reported in the literature. [2][3][4][5][6] These modeling methods of spiral inductors are generally described as numerical techniques, behavioral macromodels, 7,8 and compact circuit models. 9 Numerical techniques have a large computational load, and a small change in geometrical or process parameters could require a completely new simulation.…”
Section: Introductionmentioning
confidence: 99%
“…For the circular spiral coils in [7] the N -turn spiral is approximated by N coaxial loops. Artillan et al [8] implemented a PEEC model for circular spiral coils.…”
Section: Introductionmentioning
confidence: 99%