RF Harmonic Distortion of CPW Lines on HR-Si and Trap-Rich HR-Si Substrates

In this paper, the nonlinear behavior of coplanar waveguide (CPW) transmission lines fabricated on Si and high-resistivity (HR) Si substrates is thoroughly investigated. Simulations and experimental characterization of 50- <formula formulatype="inline" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex Notation="TeX">Ω</tex></formula> CPW lines are analyzed under small- and large-signal operation at 900 MHz for a wide variety of Si substrates with nominal resistivities from 10 <formula formulatype="inline" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex Notation="TeX">Ω-cm</tex></formula> up to values higher than 10 <formula formulatype="inline" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex Notation="TeX">kΩ-cm</tex></formula> . The introduction of a trap-rich layer to recover the Si substrate nominal HR characteristics is also considered. We experimentally demonstrate that the distortion level of a CPW line lying on Si substrate decreases with the effective resistivity sensed by the coplanar structure. Si substrates of effective resistivity higher than 3 <formula formulatype="inline" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex Notation="TeX">kΩ -cm</tex></formula> present harmonic levels below <formula formulatype="inline" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex Notation="TeX">$-$</tex></formula> 80 dBm for an output power of <formula formulatype="inline" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex Notation="TeX">$+$</tex></formula> 15 dBm.