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REVIEW 4 major objections 5 minor 47 references

Permittivity Characterization of 3D-Printed Materials at Millimeter Waves

T0 review · 4 major / 5 minor · reviewed 2026-08-01 · deepseek-v4-flash

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Pith's one-line read The paper measures the complex permittivity of nine common 3D-printing materials across 70–110 GHz and finds them low-loss, nearly dispersion-free, and isotropic.

desk verdict Useful new W-band permittivity numbers for cheap 3D-print materials, but the extraction rests on an unverified air-gap assumption and the loss data are admitted to be shaky. read the letter →

arxiv 2607.16937 v1 pith:IJYUQLBT submitted 2026-07-18 physics.optics physics.app-ph

Kamil An{i}l Iş{i}k , Mohammad Mahdi Asgari , Xuchen Wang , Maxim Masyukov , Irina Nefedova , Zachary Taylor , Viktar S. Asadchy This is my paper
classification physics.opticsphysics.app-ph
keywords permittivity3DprintingmillimeterwavesPLAresinopen-waveguidemethodlosstangent6Gmaterials
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

This paper sets out to fill a gap in measured material data: the complex permittivity of commonly used 3D-printable plastics and resins in the 70–110 GHz millimeter-wave band, a range relevant to future 6G devices. Using an open-waveguide extraction technique that does not require precise sample shaping, the authors determine the real permittivity and loss tangent of seven PLA varieties and two resins. They report frequency-averaged real permittivities between 2.45 and 2.75, loss tangents below 0.03 that grow with frequency, and no sign of resonances or anisotropy. The contribution is a set of practical material parameters plus a methodology tuned for thin, rough, 3D-printed slabs that can extend to higher frequencies.

What carries the argument

The central mechanism is the open-waveguide extraction method: a dielectric slab is squeezed between two waveguide flanges and modeled as a shunt admittance in a π-circuit. The measured S-parameters give the shunt admittance through an analytical formula, and a full-wave numerical fit then recovers the complex permittivity. Because the equivalent shunt impedance depends only on the slab permittivity, the method tolerates imprecise sample shape and positioning, which is the key advantage for rough, thin 3D-printed samples at millimeter waves.

What would settle it

A measurement of the same PLA and resin samples in a setup that does not rely on flange contact—such as a free-space or resonator method at overlapping frequencies—would either reproduce permittivities within the quoted spread or expose an air-gap bias. Deliberately adding a known micron-scale air gap with a spacer and observing a shift in extracted permittivity would confirm the sensitivity.

Watch

Extended reading notes

Core claim

The authors establish that commercial 3D-printing materials remain non-resonant, effectively isotropic, and low-loss in the 70–110 GHz band, with real permittivity stable across frequency. Silver PLA and black resin sit near the top (around 2.7), blue PLA near the bottom (about 2.45), and loss tangents rise with frequency but stay under roughly 0.03. Color and resin type change the dielectric response measurably even within one brand. The paper also finds that careful, torque-controlled clamping is essential: excessive or uneven screw pressure bends the sample and produces non-physical negative loss tangents.

Load-bearing premise

The whole extraction assumes that after clamping, the waveguide flanges touch the sample exactly so that the separation equals the sample thickness d, with no air gap; 3D-printed surfaces are rough, and any unmodeled air gap biases the inferred permittivity.

Editorial extensions

If this is right

  • Designers can now use these measured permittivity and loss-tangent values for 3D-printed PLA and resin components in antennas, lenses, and metasurfaces operating at 70–110 GHz.
  • The data indicate these materials can serve as low-loss dielectrics in this band, with only Silver PLA and Black Resin exceeding a loss tangent of about 0.02.
  • The methodology can be applied to other printable dielectrics and extended to 110–200 GHz by adjusting sample thickness.
  • The paper documents procedural requirements—torque-limited clamping, drilling holes after printing, and averaging thickness measurements—that prevent non-physical negative loss tangents.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • If the measured isotropy holds, designers can rotate printed parts in simulations without concern; but the paper infers isotropy from untextured observations rather than a dedicated anisotropy measurement, so an oriented measurement that rotates the sample would be a direct testable confirmation.
  • The color-dependent permittivity differences suggest that pigments and additives are not electromagnetically inert in this band; this implies material datasheets should specify color and batch, not just polymer type.
  • Because loss tangents are low and rise with frequency, printed dielectric lenses or radomes at even higher sub-THz frequencies may need loss re-evaluation, and the method's reliance on thicker samples than the thin-slab formula suggests a practical upper frequency bound.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

4 major / 5 minor

Summary. The paper characterizes the complex permittivity of seven commercial Ultimaker PLA filaments and two Formlabs resins over 70–110 GHz using an open-waveguide extraction method. The samples are placed between WR10 waveguide flanges, the shunt admittance is obtained from TRL-calibrated S-parameters via Eq. (1), and the permittivity is extracted by fitting measured and HFSS-simulated admittance. The reported frequency-averaged real permittivity values range from about 2.45 (Blue PLA) to 2.75 (Silver PLA/Black Resin), with loss tangents generally below 0.03 and increasing with frequency. The authors conclude that all materials are non-resonant, effectively isotropic, and suitable for millimeter-wave antennas and metasurfaces. They also discuss practical measurement issues, such as torque control of the flange screws and thickness variation of printed samples.

Significance. If the extracted values are reliable, the dataset is useful: it fills a documented gap between 50 GHz and 200 GHz for common 3D-printed materials and directly supports 6G-oriented design. The application of the open-waveguide method to FDM/SLA samples, together with the practical guidance on clamping torque and sample machining, is a reasonable contribution to a measurement-focused venue. The paper does not ship code or a full data table, but the method itself is standard and reproducible from the described procedure. The main scientific value is the new data and the explicit discussion of measurement pitfalls, not a new extraction technique.

major comments (4)
  1. [Section II, Eq. (1)] The extraction assumes that the flange separation exactly equals the sample thickness d, with no air gap at the sample-flange interfaces. The text states that the flanges are tightened 'until they barely touch the sample, ensuring that the separation between the flanges is equal to d.' For FDM-printed surfaces this is not a controlled equality: contact occurs at asperities, and the residual gap is set by roughness, clamping force, and local flatness. Since Eq. (1) uses Yp as the only measured input, an unmodeled series air gap directly biases the extracted complex permittivity. For a 0.7 mm sample at 90 GHz, a 50 µm gap is roughly a 7% change in longitudinal electrical length, which is larger than the point-to-point scatter shown in Fig. 3 and comparable to the spread between different materials. This is load-bearing for the central claim of the reported permittivity values and their col
  2. [Section III, Figs. 3 and 4] No uncertainty bars or repeatability statistics are reported. The paper itself admits in Section III that the extracted loss tangent has 'stronger deviations from the mean' and that uncertainties in S-parameters and Yp lead to inaccuracies for low-loss samples; the Introduction similarly states that the imaginary part is 'effective mainly for materials with medium to high losses.' Yet Fig. 4 plots loss tangent values without any error estimates, and the abstract/conclusion treat the loss-tangent trends as findings. Given that the loss tangent values are below 0.03, the absolute uncertainty likely is of the same order as the values themselves. The loss-tangent data and the claim that loss increases with frequency are not substantiated without confidence intervals or repeated independent measurements.
  3. [Section III, 'no anisotropy was observed'] The paper states that 'no anisotropy was observed in the printed samples, as the material properties were uniform in all directions' and that isotropy was consistent across all materials. However, no measurement procedure is described that would probe orientation-dependent permittivity. The extraction model assumes a homogeneous isotropic slab, so any anisotropy would invalidate Eq. (1) and the HFSS fitting. If the isotropy claim is supported by additional measurements (e.g., samples printed in different orientations or rotated in the waveguide), please include that evidence; otherwise remove the unsupported assertion or present it only as an assumption.
  4. [General / validation] The extracted permittivity values are not validated against any independent method or published reference data. The method originates from a paper co-authored by one of the current authors (Ref. [43]), and the only comparison offered is internal consistency (agreement between measured and simulated Yp). Because the air-gap and thickness assumptions could produce systematic biases that are not visible in the fit quality, a cross-check with a resonant cavity, a free-space measurement, or literature values for PLA and resin in adjacent bands (e.g., Refs. [24], [25], [33]) is needed to establish that the reported differences between materials are real. At minimum, a quantitative discussion of expected error from the fitted parameters and the S-parameter calibration would be required.
minor comments (5)
  1. [Abstract/Introduction] The abstract states the frequency range as '70-110 GHz' while the body also uses '70 – 110 GHz' inconsistently with spacing. Please harmonize. Also, 'the open-waveguide extraction method' is introduced without a citation in the abstract; cite Ref. [43] there or in the first sentence of Section II.
  2. [Section II, Table I] The standard deviation of thickness is reported as approximately 0.015 mm, but it is not stated how many points were measured per sample or whether the same micrometer was used for all. Also, the resin samples and PLA samples may have different surface roughness, which is relevant to the air-gap concern; please report roughness data or at least acknowledge this difference.
  3. [Figures 3 and 4] The figure captions are duplicated in the text ('70 80 90 100 110' appears twice in each figure caption), and the individual material traces are not labeled with a legend in the captions. As a result, the reader cannot identify which curve corresponds to which material without guessing. Add a legend or a table of color/line styles.
  4. [Section III, last paragraph] The sentence 'While calculating average thicknesses of whole samples, standard deviation of the measured thicknesses are found approximately 0.015 mm' appears in Section II, not III, but the placement is awkward. Also, the phrase 'normal frequency dispersion behaviour' should be 'low normal dispersion' or 'weak frequency dispersion.'
  5. [References] Ref. [22] and Ref. [30] are the same paper (Ruan and Chan, 2019); Ref. [34] and Ref. [43] are also the same paper (Wang and Tretyakov, 2022). Please deduplicate. Additionally, the paper does not cite its own data availability statement with a DOI or repository; 'available within the paper' is insufficient for a dataset that is supposed to be used by the community.

Circularity Check

0 steps flagged · score 0.0 of 10

No circularity: measured permittivity is fitted to S-parameter data, not assumed; self-citation is to a method that is actually applied.

full rationale

The paper's derivation chain is: measure S-parameters of a dielectric slab in a waveguide → compute the shunt admittance Y_p via Eq. (1) → fit complex permittivity by matching simulated Y_p to measured Y_p in HFSS. The permittivity values are the unknown parameters obtained from fitting, not inputs. No fitted constant is renamed as a prediction, and no quantity in the claimed extraction is defined in terms of the extracted permittivity itself. The method is taken from the prior work [43] of co-author Xuchen Wang, but the current paper actually implements the method with new samples and new S-parameter measurements; the method is not the claimed result, and the permittivity data are independent outputs. The assumptions about flange contact and thickness uniformity (e.g., 'the waveguide flanges are tightened until they barely touch the sample, ensuring that the separation between the flanges is equal to d') are unverified accuracy risks, not circular reasoning, because they do not bake the answer into the derivation. Therefore no significant circularity is present.

Assumptions & free parameters 0 free parameters · 5 assumptions · 0 invented entities

The central claims rest on standard microwave measurement assumptions rather than on introduced constants. No hidden free parameters: the extracted permittivity values are the measured outputs, and thicknesses are measured inputs with stated scatter. The main unproven premises are the cleanliness of the flange-sample interface, the isotropy of printed parts, and the validity of the open-waveguide model.

assumptions (5)
  • standard math TE10 single-mode propagation in WR10 and absence of higher-order mode coupling at the sample
    Used in Eq. (1) via beta_d; standard for this band and waveguide.
  • domain assumption The pi-circuit equivalent and Eq. (1) from [43] model the sample discontinuity
    Adopted from prior work; its range of validity is invoked for the numerical fitting of thicker samples.
  • domain assumption The clamped sample has no air gap; flange separation equals sample thickness d
    Sec. II states flanges are tightened to 'barely touch'; surface roughness of FDM prints is not quantified.
  • domain assumption Printed materials are isotropic and homogeneous
    Sec. II asserts 'no anisotropy was observed' without a dedicated measurement; FDM layer structure can create directional properties.
  • domain assumption TRL calibration removes systematic errors and sets the phase reference correctly
    Standard VNA practice; no verification or residual error given.

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Cite this review

Pith. "Pith review of Permittivity Characterization of 3D-Printed Materials at Millimeter Waves." pith.science (2026). https://pith.science/paper/IJYUQLBT

@misc{pith2026260716937,
  author       = {Pith},
  title        = {Pith review of: Permittivity Characterization of 3D-Printed Materials at Millimeter Waves},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/IJYUQLBT}},
  note         = {Machine review of arXiv:2607.16937}
}
read the original abstract

In this study, we characterize the permittivity of various commercially available materials commonly used in 3D printing over the millimeter-wave frequency range of 70-110 GHz. The open-waveguide extraction method is employed to efficiently determine the permittivity of these 3D-printed materials, and key strategies for improving its accuracy are discussed. This methodology can be readily applied to the characterization of similar materials and extended to higher frequency ranges. The resulting permittivity data are expected to support advances in 6G and beyond wireless communication technologies, in which 3D-printed materials and millimeter-wave frequencies are anticipated to play an increasingly important role in the development of novel antennas and metasurfaces.

Figures

Figures reproduced from arXiv: 2607.16937 by the authors.

Figure 1
Figure 1. (a) The schematic of the experimental setup illustrating the [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. The measured samples, including seven different types of [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Real part of permittivity versus frequency for measured samples. The plot shows relatively stable permittivity values with minor [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figures from the paper (1 more)
Figure 4
Figure 4. Figure 4: The frequency dependency of loss tangent for measured samples. [PITH_FULL_IMAGE:figures/full_fig_p004_4.png]

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Reference graph

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Pith tools

Reviewed August 1, 2026 · model on record in the stance chip above.