IEICE TRANSACTIONS on Electronics
Permittivity Estimation Based on Transmission Coefficient for Gaussian Beam in Free-Space Method
Summary :
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
Authors
Koichi HIRAYAMA
Kitami Institute of Technology
Yoshiyuki YANAGIMOTO
EM Labs Inc.
Jun-ichiro SUGISAKA
Kitami Institute of Technology
Takashi YASUI
Kitami Institute of Technology
Keyword
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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
Copy
@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},}
Copy
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 -
English
