Inductance: Loop and Partial

By C. Paul. 2009

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High-Frequency Modeling of TSVs for 3-D Chip Integration and Silicon Interposers Considering Skin-Effect, Dielectric Quasi-TEM and Slow-Wave Modes (2011, background): “are given in (9)–(12) [43]–[45], where d is the pitch and σ is the conductivity of the conductors.”
Stretchable self-tuning MRI receive coils based on liquid metal technology (LiquiTune) (2021, background): “The total self-inductance of a loop coil under a stretch α changes approximately as follows L = αL0 + μ0μr(3D/4)αln(α), (2) with the inductance L0 in the original unstretched state as given by [44] L0 = μ0μr(D/2){ln(8D/d) − 2}, (3) where μ0 = 4π10 H/m is the vacuum permeability, μr is the material p”
A New Analytical Calculation of the Mutual Inductance of the Coaxial Spiral Rectangular Coils (2014, methodology): “The greenhouse method [15], [19], [20] is an analytical method: the total mutual inductance is the sum of any two parallel conductors’ mutual inductance, which can be calculated according to [21], based on the concept of partial mutual inductance [22].”
Overview of Signal Integrity and EMC Design Technologies on PCB: Fundamentals and Latest Progress (2013, background): “It is worth mentioning a scholar contribution of Paul on loop and partial inductance, summarized in his recent book [3].”