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Equation 3 · Part 2 · How Chiplets and Advanced Packaging Actually Work

subscript

ror_o
subscript

What this part means

The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.

Its job in the formula

A subscript distinguishes a version, component, step, or member of a quantity. It does not automatically mean multiplication.

The passage around this formula

with rir_i the via’s metal radius, ror_o the outer radius of the oxide liner, and εox\varepsilon_{\text{ox}} the liner’s permittivity, while the bulk silicon beyond it contributes a finite shunt resistance rather than an open circuit. A TSV’s insertion loss is therefore not one number but a function of frequency, set by which of those two paths — the liner’s capacitance or the silicon’s resistance — is doing more of the work at a given frequency. Wang and colleagues, testing single, dual-redundant and quad-redundant TSV structures built on high-resistivity silicon for millimetre-wave use, measured a single via’s insertion loss at 0.22 dB at 40 gigahertz, essentially matched by the dual-redundant…

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Learn the underlying idea

A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

Open the illustrated subscripts: which member of a family? guide →

Sources cited in the surrounding passage

These citations provide research context; check each source for the exact claim it supports.