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In a free-space method using a pair of horn antennas with dielectric lenses, we demonstrated that the permittivity of a sample can be estimated with good accuracy by equalizing a measured transmission coefficient of a sample to a transmission coefficient for a Gaussian beam, which is approximately equal to the transmission coefficient for a plane wave multiplied by a term that changes the phase. In this permittivity estimation method, because the spot size at the beam waist in a Gaussian beam needs to be determined, we proposed an estimation method of the spot size by employing the measurement of the Line in Thru-Reflect-Line calibration; thus, no additional measurement is required. The permittivity estimation method was investigated for the *E*-band (60-90 GHz), and it was demonstrated that the relative permittivity of air with a thickness of 2mm and a sample with the relative permittivity of 2.05 and a thickness of 1mm is estimated with errors less than ±0.5% and ±0.2%, respectively. Moreover, in measuring a sample without displacing the receiving horn antenna to avoid the error in measurement, we derived an expression of the permittivity estimation for S parameters measured using a vector network analyzer, and demonstrated that the measurement of a sample without antenna displacement is valid.

- Publication
- IEICE TRANSACTIONS on Electronics Vol.E106-C No.6 pp.335-343

- Publication Date
- 2023/06/01

- Publicized
- 2022/12/09

- Online ISSN
- 1745-1353

- DOI
- 10.1587/transele.2022ECP5030

- Type of Manuscript
- PAPER

- Category
- Microwaves, Millimeter-Waves

Koichi HIRAYAMA

Kitami Institute of Technology

Yoshiyuki YANAGIMOTO

EM Labs Inc.

Jun-ichiro SUGISAKA

Kitami Institute of Technology

Takashi YASUI

Kitami Institute of Technology

The copyright of the original papers published on this site belongs to IEICE. Unauthorized use of the original or translated papers is prohibited. See IEICE Provisions on Copyright for details.

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Koichi HIRAYAMA, Yoshiyuki YANAGIMOTO, Jun-ichiro SUGISAKA, Takashi YASUI, "Permittivity Estimation Based on Transmission Coefficient for Gaussian Beam in Free-Space Method" in IEICE TRANSACTIONS on Electronics,
vol. E106-C, no. 6, pp. 335-343, June 2023, doi: 10.1587/transele.2022ECP5030.

Abstract: In a free-space method using a pair of horn antennas with dielectric lenses, we demonstrated that the permittivity of a sample can be estimated with good accuracy by equalizing a measured transmission coefficient of a sample to a transmission coefficient for a Gaussian beam, which is approximately equal to the transmission coefficient for a plane wave multiplied by a term that changes the phase. In this permittivity estimation method, because the spot size at the beam waist in a Gaussian beam needs to be determined, we proposed an estimation method of the spot size by employing the measurement of the Line in Thru-Reflect-Line calibration; thus, no additional measurement is required. The permittivity estimation method was investigated for the *E*-band (60-90 GHz), and it was demonstrated that the relative permittivity of air with a thickness of 2mm and a sample with the relative permittivity of 2.05 and a thickness of 1mm is estimated with errors less than ±0.5% and ±0.2%, respectively. Moreover, in measuring a sample without displacing the receiving horn antenna to avoid the error in measurement, we derived an expression of the permittivity estimation for S parameters measured using a vector network analyzer, and demonstrated that the measurement of a sample without antenna displacement is valid.

URL: https://global.ieice.org/en_transactions/electronics/10.1587/transele.2022ECP5030/_p

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@ARTICLE{e106-c_6_335,

author={Koichi HIRAYAMA, Yoshiyuki YANAGIMOTO, Jun-ichiro SUGISAKA, Takashi YASUI, },

journal={IEICE TRANSACTIONS on Electronics},

title={Permittivity Estimation Based on Transmission Coefficient for Gaussian Beam in Free-Space Method},

year={2023},

volume={E106-C},

number={6},

pages={335-343},

abstract={In a free-space method using a pair of horn antennas with dielectric lenses, we demonstrated that the permittivity of a sample can be estimated with good accuracy by equalizing a measured transmission coefficient of a sample to a transmission coefficient for a Gaussian beam, which is approximately equal to the transmission coefficient for a plane wave multiplied by a term that changes the phase. In this permittivity estimation method, because the spot size at the beam waist in a Gaussian beam needs to be determined, we proposed an estimation method of the spot size by employing the measurement of the Line in Thru-Reflect-Line calibration; thus, no additional measurement is required. The permittivity estimation method was investigated for the *E*-band (60-90 GHz), and it was demonstrated that the relative permittivity of air with a thickness of 2mm and a sample with the relative permittivity of 2.05 and a thickness of 1mm is estimated with errors less than ±0.5% and ±0.2%, respectively. Moreover, in measuring a sample without displacing the receiving horn antenna to avoid the error in measurement, we derived an expression of the permittivity estimation for S parameters measured using a vector network analyzer, and demonstrated that the measurement of a sample without antenna displacement is valid.},

keywords={},

doi={10.1587/transele.2022ECP5030},

ISSN={1745-1353},

month={June},}

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TY - JOUR

TI - Permittivity Estimation Based on Transmission Coefficient for Gaussian Beam in Free-Space Method

T2 - IEICE TRANSACTIONS on Electronics

SP - 335

EP - 343

AU - Koichi HIRAYAMA

AU - Yoshiyuki YANAGIMOTO

AU - Jun-ichiro SUGISAKA

AU - Takashi YASUI

PY - 2023

DO - 10.1587/transele.2022ECP5030

JO - IEICE TRANSACTIONS on Electronics

SN - 1745-1353

VL - E106-C

IS - 6

JA - IEICE TRANSACTIONS on Electronics

Y1 - June 2023

AB - In a free-space method using a pair of horn antennas with dielectric lenses, we demonstrated that the permittivity of a sample can be estimated with good accuracy by equalizing a measured transmission coefficient of a sample to a transmission coefficient for a Gaussian beam, which is approximately equal to the transmission coefficient for a plane wave multiplied by a term that changes the phase. In this permittivity estimation method, because the spot size at the beam waist in a Gaussian beam needs to be determined, we proposed an estimation method of the spot size by employing the measurement of the Line in Thru-Reflect-Line calibration; thus, no additional measurement is required. The permittivity estimation method was investigated for the *E*-band (60-90 GHz), and it was demonstrated that the relative permittivity of air with a thickness of 2mm and a sample with the relative permittivity of 2.05 and a thickness of 1mm is estimated with errors less than ±0.5% and ±0.2%, respectively. Moreover, in measuring a sample without displacing the receiving horn antenna to avoid the error in measurement, we derived an expression of the permittivity estimation for S parameters measured using a vector network analyzer, and demonstrated that the measurement of a sample without antenna displacement is valid.

ER -