Estimation of the FR4 Microwave Dielectric Properties at Cryogenic Temperature for Quantum-Chip-Interface PCBs Design

Fuente: arXiv
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Main Authors: Paghi, Alessandro, Trupiano, Giacomo, Puglia, Claudio, Burgaud, Hannah, De Simoni, Giorgio, Greco, Angelo, Giazotto, Francesco
Format: Preprint
Published: 2023
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author Paghi, Alessandro
Trupiano, Giacomo
Puglia, Claudio
Burgaud, Hannah
De Simoni, Giorgio
Greco, Angelo
Giazotto, Francesco
author_facet Paghi, Alessandro
Trupiano, Giacomo
Puglia, Claudio
Burgaud, Hannah
De Simoni, Giorgio
Greco, Angelo
Giazotto, Francesco
contents Ad-hoc interface PCBs (Printed Circuit Boards) are today the standard connection between cryogenic cabling and quantum chips. Besides low-loss and low-temperature-dependent-dielectric-permittivity materials, Flame Resistance n.4 (FR4) provides a low-cost solution for fabrication of cryogenic PCBs. Here, we report on an effective way to evaluate the dielectric performance of a FR4 laminate used as substrate for cryogenic microwave PCBs. We designed a coplanar waveguide λ/2 open-circuit series resonator, and we fabricated the PCB using a low-cost manufacturing process, obtaining in-plane geometric features with maximum variations of 50-100 um compared to the PCB design. Such a geometry allows to exploit the resonance peak of the resonator to measure the variation of the complex permittivity as a function of the temperature. The resonance peak frequency was used to estimate the real permittivity, achieving a sensitivity of -470 MHz and a resolution of 1.2x10^-2. Similarly, the resonance peak magnitude was involved in the extrapolation of the loss tangent, reaching a sensitivity of ~-337 dB and a resolution of 1.6x^10-4. For the FR4 laminate used, we estimated a 9 % reduction of the real permittivity and a 70 % reduction of the loss tangent in the temperature range from 300 to 4 K. The proposed approach can be immediately extended to the detection of cryogenic temperature-dependent dielectric performance of any kind of substrate.
format Preprint
id arxiv_https___arxiv_org_abs_2310_01171
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Estimation of the FR4 Microwave Dielectric Properties at Cryogenic Temperature for Quantum-Chip-Interface PCBs Design
Paghi, Alessandro
Trupiano, Giacomo
Puglia, Claudio
Burgaud, Hannah
De Simoni, Giorgio
Greco, Angelo
Giazotto, Francesco
Instrumentation and Detectors
Applied Physics
Ad-hoc interface PCBs (Printed Circuit Boards) are today the standard connection between cryogenic cabling and quantum chips. Besides low-loss and low-temperature-dependent-dielectric-permittivity materials, Flame Resistance n.4 (FR4) provides a low-cost solution for fabrication of cryogenic PCBs. Here, we report on an effective way to evaluate the dielectric performance of a FR4 laminate used as substrate for cryogenic microwave PCBs. We designed a coplanar waveguide λ/2 open-circuit series resonator, and we fabricated the PCB using a low-cost manufacturing process, obtaining in-plane geometric features with maximum variations of 50-100 um compared to the PCB design. Such a geometry allows to exploit the resonance peak of the resonator to measure the variation of the complex permittivity as a function of the temperature. The resonance peak frequency was used to estimate the real permittivity, achieving a sensitivity of -470 MHz and a resolution of 1.2x10^-2. Similarly, the resonance peak magnitude was involved in the extrapolation of the loss tangent, reaching a sensitivity of ~-337 dB and a resolution of 1.6x^10-4. For the FR4 laminate used, we estimated a 9 % reduction of the real permittivity and a 70 % reduction of the loss tangent in the temperature range from 300 to 4 K. The proposed approach can be immediately extended to the detection of cryogenic temperature-dependent dielectric performance of any kind of substrate.
title Estimation of the FR4 Microwave Dielectric Properties at Cryogenic Temperature for Quantum-Chip-Interface PCBs Design
topic Instrumentation and Detectors
Applied Physics
url https://arxiv.org/abs/2310.01171