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JP6908834B2 - Dielectric spectroscopy sensor and permittivity measurement method - Google Patents
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JP6908834B2 - Dielectric spectroscopy sensor and permittivity measurement method - Google Patents

Dielectric spectroscopy sensor and permittivity measurement method Download PDF

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JP6908834B2
JP6908834B2 JP2017109688A JP2017109688A JP6908834B2 JP 6908834 B2 JP6908834 B2 JP 6908834B2 JP 2017109688 A JP2017109688 A JP 2017109688A JP 2017109688 A JP2017109688 A JP 2017109688A JP 6908834 B2 JP6908834 B2 JP 6908834B2
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昌人 中村
昌人 中村
卓郎 田島
卓郎 田島
鈴代 井上
鈴代 井上
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Description

本発明は、微量な液体試料の複素誘電率を測定する技術に関する。 The present invention relates to a technique for measuring the complex permittivity of a trace amount of liquid sample.

高齢化が進み、成人病に対する対応が大きな課題になっている。血糖値などの検査は血液の採取が必要なために患者にとって大きな負担である。そのため、血液を採取しない非侵襲な成分濃度測定装置が注目されている。 As the population ages, dealing with adult diseases has become a major issue. Testing such as blood glucose level is a heavy burden on the patient because it requires blood sampling. Therefore, a non-invasive component concentration measuring device that does not collect blood is drawing attention.

非侵襲な成分濃度測定装置としては、近赤外光などの光学的な手法と比べ生体内での散乱が少ない、1フォトンの持つエネルギーが低い、などの理由からマイクロ波−ミリ波帯の電磁波を用いた手法が提案されている。 As a non-invasive component concentration measuring device, electromagnetic waves in the microwave-millimeter wave band are less scattered in the living body than optical methods such as near-infrared light, and the energy of one photon is low. A method using is proposed.

例えば、非特許文献1に示される共振構造を用いた手法がある。この手法は、アンテナや共振器などのQ値の高いデバイスと測定試料を接触させ、共振周波数周辺の周波数特性を測定する。共振周波数はデバイスの周囲の複素誘電率により決定されるため、共振周波数のシフト量と成分濃度との間の相関を予め予測することにより、共振周波数のシフト量から成分濃度を推定する。 For example, there is a method using the resonance structure shown in Non-Patent Document 1. In this method, a device having a high Q value such as an antenna or a resonator is brought into contact with a measurement sample, and the frequency characteristics around the resonance frequency are measured. Since the resonance frequency is determined by the complex permittivity around the device, the component concentration is estimated from the shift amount of the resonance frequency by predicting the correlation between the shift amount of the resonance frequency and the component concentration in advance.

マイクロ波−ミリ波帯の電磁波を用いた他の手法としては、特許文献1に示す誘電分光法が提案されている。誘電分光法は、皮膚内に電磁波を照射し、測定対象である血液成分、例えば、グルコース分子と水の相互作用に従い、電磁波を吸収させ、電磁波の振幅及び位相を観測する。観測される電磁波の周波数に対する振幅及び位相から、誘電緩和スペクトルを算定する。誘電緩和スペクトルは、一般的には、Cole−Cole式に基づき緩和カーブの線形結合として表現し、複素誘電率を算定する。生体成分の計測では、例えば血液中に含まれるグルコースやコレステロール等の血液成分の量に複素誘電率は相関があり、その変化に対応した電気信号(振幅、位相)として測定される。複素誘電率変化と成分濃度との相関を予め測定することによって検量モデルを構築し、計測した誘電緩和スペクトルの変化から成分濃度の検量を行う。 As another method using electromagnetic waves in the microwave-millimeter wave band, the dielectric spectroscopy method shown in Patent Document 1 has been proposed. Dielectric spectroscopy irradiates the skin with electromagnetic waves, absorbs the electromagnetic waves according to the interaction between the blood component to be measured, for example, glucose molecules and water, and observes the amplitude and phase of the electromagnetic waves. The dielectric relaxation spectrum is calculated from the amplitude and phase of the observed electromagnetic wave with respect to the frequency. The dielectric relaxation spectrum is generally expressed as a linear combination of relaxation curves based on the Core-Cole equation, and the complex permittivity is calculated. In the measurement of biological components, for example, the complex permittivity has a correlation with the amount of blood components such as glucose and cholesterol contained in blood, and is measured as an electric signal (amplitude, phase) corresponding to the change. A calibration model is constructed by measuring the correlation between the change in the complex permittivity and the component concentration in advance, and the component concentration is calibrated from the measured change in the dielectric relaxation spectrum.

いずれの手法を用いる場合でも、対象となる成分と相関の強い周波数帯を選定することにより測定感度の向上が期待できるため、あらかじめ広帯域な誘電分光により誘電率の変化を測定しておくことは重要である。 Regardless of which method is used, it is important to measure the change in permittivity in advance by wideband dielectric spectroscopy because the measurement sensitivity can be expected to improve by selecting a frequency band that has a strong correlation with the target component. Is.

誘電分光法の中でも、非特許文献2に示すようなコプレーナ線路(Coplanar Waveguide:CPW)にマイクロ流路を集積したデバイスを用いた誘電分光は、DC−100GHz帯の誘電率情報の取得が報告されており、またサンプルの量が数10μl程度で測定可能なため、生体試料など高額な物質の誘電分光特性にも適している。 Among the dielectric spectroscopy methods, it has been reported that dielectric spectroscopy in the DC-100 GHz band is obtained by dielectric spectroscopy using a device in which microchannels are integrated on a Coplanar line (CPW) as shown in Non-Patent Document 2. Moreover, since the amount of the sample can be measured with about several tens of μl, it is also suitable for the dielectric spectroscopic characteristics of expensive substances such as biological samples.

特開2013−32933号公報Japanese Unexamined Patent Publication No. 2013-32933

M. Hofmann, G. Fischer, R. Weigel, and D. Kissinger, "Microwave-Based Noninvasive Concentration Measurements for Biomedical Applications", IEEE Transactions on Microwave Theory and Techniques, May 2015, Vol. 16, No. 5, pp. 2195-2203M. Hofmann, G. Fischer, R. Weigel, and D. Kissinger, "Microwave-Based Noninvasive Concentration Measurements for Biomedical Applications", IEEE Transactions on Microwave Theory and Techniques, May 2015, Vol. 16, No. 5, pp. 2195-2203 K.Grenier, D. Dubuc, P-E. Poleni, M. Kumemura, H. Toshiyoshi, T. Fujii, and H. fujita, "Integrated Broadband Microwave and Microfluidic Sensor Dedicated to Bioengineering", IEEE Transactions on Microwave Theory and Techniques, December 2009, Vol. 57, No. 12, pp. 3246-3253K.Grenier, D. Dubuc, PE. Poleni, M. Kumemura, H. Toshiyoshi, T. Fujii, and H. fujita, "Integrated Broadband Microwave and Microfluidic Sensor Dedicated to Bioengineering", IEEE Transactions on Microwave Theory and Techniques, December 2009, Vol. 57, No. 12, pp. 3246-3253

従来のCPW型誘電分光センサはGSGプローブなどの高周波プローブを介してベクトルネットワークアナライザ(Vector Network Analyzer:VNA)やインピーダンスアナライザ(Impedance Analyzer:IA)と接続される。このため、測定者によるプローブの位置合わせのバラつきが生じる、プローブによりCPWが傷つくことにより伝送特性が変化するといった理由から繰り返し測定を行う際の測定再現性が低下してしまうという課題があった。 A conventional CPW type dielectric spectroscopy sensor is connected to a vector network analyzer (VNA) or an impedance analyzer (Impedance Analyzer: IA) via a high frequency probe such as a GSG probe. For this reason, there is a problem that the measurement reproducibility at the time of repeated measurement is lowered because the position of the probe varies depending on the measurer and the transmission characteristics change due to the CPW being damaged by the probe.

本発明は、上記に鑑みてなされたものであり、誘電分光において再現性よく誘電率を測定することを目的とする。 The present invention has been made in view of the above, and an object of the present invention is to measure the dielectric constant with good reproducibility in dielectric spectroscopy.

の本発明に係る誘電分光センサは、コプレーナ線路を形成した基板と試料を配置するマイクロ流路を形成した母材と前記コプレーナ線路の両端に配置したコネクタを備えた第1高周波基板と、コプレーナ線路を形成した基板とマイクロ流路を形成していない母材と前記コプレーナ線路の両端に配置したコネクタを備えた第2高周波基板と、前記第2高周波基板の半分の大きさのコプレーナ線路を形成した基板とマイクロ流路を形成していない母材と前記コプレーナ線路の片端に配置したコネクタとを備えた反射測定用の第3,第4高周波基板と、を有することを特徴とする。 The first dielectric spectroscopic sensor according to the present invention includes a substrate on which a coplanar line is formed, a base material on which a microchannel for arranging a sample is formed, and a first high-frequency substrate having connectors arranged at both ends of the coplanar line. A second high-frequency board having a substrate on which a coplanar line is formed, a base material on which no microchannel is formed, connectors arranged at both ends of the coplanar line, and a coplanar line having a size half that of the second high-frequency board. It is characterized by having a third and fourth high frequency substrates for reflection measurement including a formed substrate, a base material not forming a microchannel, and a connector arranged at one end of the coplanar line.

の本発明に係る誘電率測定方法は、コプレーナ線路を形成した基板と試料を配置するマイクロ流路を形成した母材と前記コプレーナ線路の両端に配置したコネクタを備えた第1高周波基板と、コプレーナ線路を形成した基板とマイクロ流路を形成していない母材と前記コプレーナ線路の両端に配置したコネクタを備えた第2高周波基板と、前記第2高周波基板の半分の大きさのコプレーナ線路を形成した基板とマイクロ流路を形成していない母材と前記コプレーナ線路の片端に配置したコネクタとを備えた反射測定用の第3,第4高周波基板とを有する誘電分光センサを用いて前記試料の誘電率を測定する誘電率測定方法であって、前記マイクロ流路に試料を配置していない状態で前記第1高周波基板のSパラメータを測定するステップと、前記第2高周波基板のSパラメータを測定するステップと、前記第3,第4高周波基板のSパラメータを測定するステップと、測定されたSパラメータからTRL校正を用いて誤差係数を算出するステップと、前記マイクロ流路に試料を配置した状態で前記第1高周波基板のSパラメータを測定し、前記誤差係数で補正したSパラメータを算出するステップと、前記補正したSパラメータに基づいて伝搬定数を計算するステップと、前記伝搬定数から実効誘電率を計算するステップと、前記実効誘電率から前記試料の誘電率を計算するステップと、を有することを特徴とする。 The second method for measuring the dielectric constant according to the present invention includes a substrate on which a coplanar line is formed, a base material on which a microchannel for arranging a sample is formed, and a first high-frequency substrate having connectors arranged at both ends of the coplanar line. A second high-frequency board having a substrate on which a coplanar line is formed, a base material on which no microchannel is formed, and connectors arranged at both ends of the coplanar line, and a coplanar line that is half the size of the second high-frequency board. The dielectric spectroscopic sensor having a third and fourth high-frequency substrates for reflection measurement including a substrate on which a microchannel is formed, a base material on which a microchannel is not formed, and a connector arranged at one end of the coplanar line is used. A dielectric constant measuring method for measuring the dielectric constant of a sample, wherein the S parameter of the first high frequency substrate is measured in a state where the sample is not arranged in the microchannel, and the S parameter of the second high frequency substrate is measured. A step of measuring the S-parameters of the third and fourth high-frequency substrates, a step of calculating an error coefficient from the measured S-parameters using TRL calibration, and a sample placed in the microchannel. In this state, the S parameter of the first high frequency substrate is measured and the S parameter corrected by the error coefficient is calculated, the propagation constant is calculated based on the corrected S parameter, and the propagation constant is effective. It is characterized by having a step of calculating the dielectric constant and a step of calculating the dielectric constant of the sample from the effective dielectric constant.

本発明によれば、誘電分光において再現性よく誘電率を測定することができる。 According to the present invention, the dielectric constant can be measured with good reproducibility in dielectric spectroscopy.

本実施形態における2種類の高周波基板を有する誘電分光センサの構成を示す図である。It is a figure which shows the structure of the dielectric spectroscopic sensor which has two kinds of high frequency substrates in this embodiment. 本実施形態における誘電分光センサの構成を示す分解斜視図である。It is an exploded perspective view which shows the structure of the dielectric spectroscopic sensor in this embodiment. 試料の誘電率を測定する処理の流れを示すフローチャートである。It is a flowchart which shows the flow of the process of measuring the dielectric constant of a sample. 本実施形態における4種類の高周波基板を有する誘電分光センサの構成を示す図である。It is a figure which shows the structure of the dielectric spectroscopic sensor which has four kinds of high frequency substrates in this embodiment. 図4の誘電分光センサを用いた試料の誘電率を測定する処理の流れを示すフローチャートである。It is a flowchart which shows the flow of the process of measuring the dielectric constant of a sample using the dielectric spectroscopic sensor of FIG.

以下、本発明の実施の形態について図面を用いて説明する。 Hereinafter, embodiments of the present invention will be described with reference to the drawings.

図1は、本実施形態における2種類の高周波基板を有する誘電分光センサの構成を示す図である。図1(a)は、マイクロ流路を形成した高周波基板1Aであり、図1(b)は、マイクロ流路を形成していない高周波基板1Bである。 FIG. 1 is a diagram showing a configuration of a dielectric spectroscopy sensor having two types of high-frequency substrates in the present embodiment. FIG. 1A is a high-frequency substrate 1A having a microchannel formed therein, and FIG. 1B is a high-frequency substrate 1B not forming a microchannel.

高周波基板1Aは、基板11、CPW12、マイクロ流路14を形成した母材13を備え、CPW12の両端にRFコネクタ15を実装した。 The high-frequency substrate 1A includes a substrate 11, a CPW 12, and a base material 13 on which a microchannel 14 is formed, and RF connectors 15 are mounted on both ends of the CPW 12.

高周波基板1Bは、基板11、CPW12、マイクロ流路14を形成していない母材13を備え、CPW12の両端にRFコネクタ15を実装した。 The high-frequency substrate 1B includes a substrate 11, a CPW 12, and a base material 13 on which a microchannel 14 is not formed, and RF connectors 15 are mounted on both ends of the CPW 12.

高周波基板1A,1BがRFコネクタ15を備えることで、再現性よく、かつ、CPW12の金属パターンを傷つけることなく測定できる。 Since the high-frequency substrates 1A and 1B are provided with the RF connector 15, measurement can be performed with good reproducibility and without damaging the metal pattern of CPW12.

基板11の材料としては、例えば、ガラスエポキシ、テフロン、シリコン(Si)、アルミナ、石英、ガラス、低温焼成セラミック(LTCC)、ガリウムヒ素やインジウムリンなどが挙げられる。 Examples of the material of the substrate 11 include glass epoxy, Teflon, silicon (Si), alumina, quartz, glass, co-fired ceramics (LTCC), gallium arsenide and indium phosphorus.

CPW12は、基板11上に、その特性インピーダンスが50Ωとなるように形成される。例えば、基板11にガラスエポキシ基板を用いる場合、CPW12のシグナル線幅を約200μm、シグナル線−グラウンド線間のギャップを約100μmとして形成する。CPWの特性インピーダンスZは次式(1)で計算できる。 The CPW 12 is formed on the substrate 11 so that its characteristic impedance is 50Ω. For example, when a glass epoxy substrate is used for the substrate 11, the signal line width of the CPW 12 is set to about 200 μm, and the gap between the signal line and the ground line is set to about 100 μm. The characteristic impedance Z of CPW can be calculated by the following equation (1).

Figure 0006908834
Figure 0006908834

ここで、ε0およびμ0は真空の誘電率および透磁率、関数K(x)は変数xに対する第一種完全楕円積分、wはCPWのシグナル線幅、gはCPWのシグナル−グラウンド線間のギャップ幅、εsubは基板の比誘電率である。 Here, ε 0 and μ 0 are the permittivity and permeability of the vacuum, the function K (x) is the first-class elliptic integral with respect to the variable x, w is the signal line width of CPW, and g is the signal-ground line of CPW. The gap width, ε sub, is the relative permittivity of the substrate.

ただし、基板厚が1mm以下程度まで薄くなった場合、式(1)の値と実際の特性インピーダンスの間にずれが生じやすくなるため、電磁界解析による計算で詳細なパラメータを決定する。 However, when the substrate thickness is reduced to about 1 mm or less, a deviation is likely to occur between the value of the equation (1) and the actual characteristic impedance, so detailed parameters are determined by calculation by electromagnetic field analysis.

CPW12の材料には、基板11との密着性のよい材料、例えば銅や金、アルミニウムなどを用いる。 As the material of CPW 12, a material having good adhesion to the substrate 11, for example, copper, gold, aluminum, or the like is used.

RFコネクタ15は、例えば、GPPO、G3PO、SMA、K、2.4mm、V、1mmコネクタなどを用いる。 As the RF connector 15, for example, a GPPO, G3PO, SMA, K, 2.4 mm, V, 1 mm connector or the like is used.

母材13は、基板11上に集積される。母材13としては、PMMA(ポリメタクリル酸メチル樹脂)、PDMS(ポリジメチルシロキサン)などが挙げられる。母材13と基板11とは厚さ25−300μm程度の両面テープで接着される。 The base material 13 is integrated on the substrate 11. Examples of the base material 13 include PMMA (polymethylmethacrylate resin) and PDMS (polydimethylsiloxane). The base material 13 and the substrate 11 are adhered to each other with a double-sided tape having a thickness of about 25 to 300 μm.

高周波基板1Aでは、母材13の中央に、マイクロ流路14を形成する。マイクロ流路14は両面テープの中央を切り取ることで形成可能である。または、両面テープを接着させた母材13の中央部をレーザーカッター等で切削することでも形成可能である。マイクロ流路14と基板11の中心部が一致するように基板11と母材13とを接着する。マイクロ流路14の幅は500μm〜1mm程度とする。 In the high frequency substrate 1A, the microchannel 14 is formed in the center of the base material 13. The micro flow path 14 can be formed by cutting off the center of the double-sided tape. Alternatively, it can also be formed by cutting the central portion of the base material 13 to which the double-sided tape is adhered with a laser cutter or the like. The substrate 11 and the base material 13 are adhered so that the microchannel 14 and the central portion of the substrate 11 coincide with each other. The width of the micro flow path 14 is about 500 μm to 1 mm.

高周波基板1Bでは、マイクロ流路14を形成しないで母材13のみを集積する。高周波基板1Bの母材13の長さは、高周波基板1Aの母材13の長さからマイクロ流路14の幅を差し引いた長さとする。 In the high-frequency substrate 1B, only the base material 13 is integrated without forming the microchannel 14. The length of the base material 13 of the high-frequency substrate 1B is the length obtained by subtracting the width of the microchannel 14 from the length of the base material 13 of the high-frequency substrate 1A.

高周波基板1Aの長さは、RFコネクタ15を除いて、CPW12の長さが5mm−20mm程度となるようにする。高周波基板1Bの長さは、高周波基板1Aの長さからマイクロ流路14の幅を差し引いた長さとする。高周波基板1A,1Bの幅は、CPW12全体の幅の2倍以上とする。 The length of the high frequency substrate 1A is such that the length of the CPW 12 is about 5 mm to 20 mm, excluding the RF connector 15. The length of the high-frequency substrate 1B is the length obtained by subtracting the width of the microchannel 14 from the length of the high-frequency substrate 1A. The width of the high frequency substrates 1A and 1B shall be at least twice the width of the entire CPW12.

図2の分解斜視図に示すように、位置合わせ用のパターンや位置合わせ用のガイド穴を設けることで集積の精度が向上する。図2の例では、基板11、母材13、及び両面テープ16の大きさを同じとし、位置決めピン17を挿入するガイド穴を設けた。 As shown in the exploded perspective view of FIG. 2, the accuracy of integration is improved by providing the alignment pattern and the alignment guide hole. In the example of FIG. 2, the size of the substrate 11, the base material 13, and the double-sided tape 16 are the same, and a guide hole for inserting the positioning pin 17 is provided.

次に、試料の誘電率の測定について説明する。 Next, the measurement of the dielectric constant of the sample will be described.

図3は、試料の誘電率を測定する処理の流れを示すフローチャートである。 FIG. 3 is a flowchart showing a flow of processing for measuring the dielectric constant of a sample.

高周波基板1A,1BのSパラメータを測定する(ステップS11,S12)。高周波基板1Aは、誘電率を測定したい液体試料をマイクロ流路14内に設置した状態でSパラメータを測定する。Sパラメータの測定には、例えばVNAを用いることができる。インピーダンスアナライザなど2端子回路のインピーダンスを測定可能な機器を用いてもよい。 The S-parameters of the high-frequency substrates 1A and 1B are measured (steps S11 and S12). The high-frequency substrate 1A measures the S parameter in a state where the liquid sample whose dielectric constant is to be measured is placed in the microchannel 14. For the measurement of S parameter, for example, VNA can be used. An instrument capable of measuring the impedance of a two-terminal circuit such as an impedance analyzer may be used.

測定したSパラメータを用いて、伝搬定数γを計算する(ステップS13)。高周波基板1AのSパラメータ[Sline 11line 12line 21line 22]、高周波基板1BのSパラメータ[Sthru 11thru 12thru 21thru 22]を用いると、伝搬定数γは次式(2)で求めることができる。 The propagation constant γ is calculated using the measured S-parameters (step S13). Using the S-parameters of the high-frequency substrate 1A [S line 11 S line 12 S line 21 S- line 22 ] and the S-parameters of the high-frequency substrate 1B [S thru 11 S thru 12 S thru 21 S thru 22 ], the propagation constant γ is as follows. It can be obtained by the formula (2).

Figure 0006908834
Figure 0006908834

fluidは流路長である。 L fluid is the flow path length.

求めた伝搬定数γから実効誘電率εeffを計算する(ステップS14)。実効誘電率εeffは、次式(3)で求めることができる。 The effective permittivity ε eff is calculated from the obtained propagation constant γ (step S14). The effective permittivity ε eff can be obtained by the following equation (3).

Figure 0006908834
Figure 0006908834

実効誘電率εeffから試料の誘電率εmを計算する(ステップS15)。実効誘電率εeffはセンサの基板の誘電率εsubと試料の誘電率εmからなる値であり、試料の誘電率εmは、次式(4)を用いて導出できる。 The permittivity ε m of the sample is calculated from the effective permittivity ε eff (step S15). The effective dielectric constant epsilon eff is a value of a dielectric constant epsilon m of the dielectric constant epsilon sub and the sample substrate of the sensor, the dielectric constant epsilon m of the sample can be derived using the following equation (4).

Figure 0006908834
Figure 0006908834

もしくは、次式(5)を満たすα,βを電磁界シミュレーションにより予め導出しておくことで換算する。 Alternatively, α and β satisfying the following equation (5) are derived in advance by electromagnetic field simulation and converted.

Figure 0006908834
Figure 0006908834

基板が薄膜であったり、CPWの金属膜厚が無視できないような構造であったりする場合、式(4)の関係が成り立たなくなるため、式(5)を用いた換算手法が有効である。 When the substrate is a thin film or the structure is such that the metal film thickness of CPW cannot be ignored, the relationship of the equation (4) does not hold, so the conversion method using the equation (5) is effective.

上記の計算処理は、コンピュータが実行してもよい。 The above calculation process may be executed by a computer.

次に、別の誘電分光センサについて説明する。 Next, another dielectric spectroscopy sensor will be described.

図4は、本実施形態における4種類の高周波基板を有する誘電分光センサの構成を示す図である。同図に示す誘電分光センサは、図1に示した高周波基板1A,1Bに、反射測定用の高周波基板1C,1Dを追加したものである。 FIG. 4 is a diagram showing a configuration of a dielectric spectroscopy sensor having four types of high-frequency substrates in the present embodiment. The dielectric spectroscopy sensor shown in FIG. 1 is obtained by adding high-frequency substrates 1C and 1D for reflection measurement to the high-frequency substrates 1A and 1B shown in FIG.

図4(c),図4(d)に示す高周波基板1C,1Dは、CPW12の片側の端面のみにRFコネクタ15を実装した。高周波基板1C,1Dの長さは、高周波基板1Bの長さの半分である。高周波基板1C,1Dは、高周波基板1Aあるいは高周波基板1Bを切断して作製できる。 In the high frequency substrates 1C and 1D shown in FIGS. 4C and 4D, the RF connector 15 is mounted only on one end surface of the CPW12. The length of the high frequency substrates 1C and 1D is half the length of the high frequency substrate 1B. The high frequency substrates 1C and 1D can be manufactured by cutting the high frequency substrate 1A or the high frequency substrate 1B.

RFコネクタ15の実装されていない側の端面と母材13の端面が一致するように母材13を基板に接着する。 The base material 13 is adhered to the substrate so that the end face of the RF connector 15 on the non-mounted side and the end face of the base material 13 coincide with each other.

高周波基板1A〜1Dは、同一ロットで加工された基板を用いることで、製品ごとのバラつきによる測定精度の劣化の抑制が期待できる。 By using substrates processed in the same lot for the high-frequency substrates 1A to 1D, it can be expected that deterioration of measurement accuracy due to variations in each product can be suppressed.

次に、4種類の高周波基板を用いた試料の誘電率の測定について説明する。 Next, the measurement of the dielectric constant of the sample using four types of high-frequency substrates will be described.

図5は、4種類の高周波基板を用いて試料の誘電率を測定する処理の流れを示すフローチャートである。 FIG. 5 is a flowchart showing a flow of processing for measuring the dielectric constant of a sample using four types of high-frequency substrates.

高周波基板1A〜1DのSパラメータを測定する(ステップS21〜S23)。高周波基板1Aは、試料を設置しない状態でSパラメータを測定する。 The S-parameters of the high-frequency substrates 1A to 1D are measured (steps S21 to S23). The high-frequency substrate 1A measures S-parameters without a sample placed.

ステップS21,S22,S23の測定結果をthru,reflect,lineであるとして、TRL校正を用いて誤差係数を算出する(ステップS24)。 Assuming that the measurement results of steps S21, S22, and S23 are thru, reflect, and line, the error coefficient is calculated using TRL calibration (step S24).

試料を設置した高周波基板1AのSパラメータを測定後(ステップS25)、誤差係数を補正した流路内のSパラメータを算出し(ステップS26)、Sパラメータを用いて、伝搬定数γを計算する(ステップS27)。 After measuring the S-parameters of the high-frequency substrate 1A on which the sample is placed (step S25), the S-parameters in the flow path with the error coefficient corrected are calculated (step S26), and the propagation constant γ is calculated using the S-parameters (step S26). Step S27).

補正されたSパラメータをTパラメータへ変換した行列Tfluidは、次式(6)で表される。 The matrix T fluid obtained by converting the corrected S parameter into a T parameter is represented by the following equation (6).

Figure 0006908834
Figure 0006908834

そのため、流路部分の伝搬定数γは、導出したTfluidより、次式(7)で表すことができる。 Therefore, the propagation constant γ of the flow path portion can be expressed by the following equation (7) from the derived T fluid.

Figure 0006908834
Figure 0006908834

以降は、図1の高周波基板1A,1Bを用いた場合と同様に、実効誘電率εeffを計算して、試料の誘電率εmを計算する(ステップS28,S29)。 After that, the effective permittivity ε eff is calculated and the permittivity ε m of the sample is calculated in the same manner as when the high frequency substrates 1A and 1B of FIG. 1 are used (steps S28 and S29).

以上説明したように、本実施の形態によれば、コプレーナ線路(CPW)12を形成した基板11と試料を配置するマイクロ流路14を形成した母材13とCPW12の両端に実装したRFコネクタ15を備えた高周波基板1Aと、CPW12を形成した基板11とマイクロ流路14を形成していない母材13とRFコネクタ15を備えた高周波基板1Bとを有する誘電分光センサを用いて、高周波基板1A,1BのSパラメータを測定し、測定したSパラメータに基づいて伝搬定数を計算し、伝搬定数から実効誘電率を計算し、実効誘電率から試料の誘電率を計算することにより、試料の設置されたCPW12の伝送特性をディエンベッドし、誘電分光において再現性よく誘電率を測定することが可能となる。本実施形態の高周波基板1A,1BはRFコネクタ15を備えるので、測定者によるプローブの位置合わせのバラつきや、プローブによりCPW12が傷つくことを抑止できる。 As described above, according to the present embodiment, the substrate 11 on which the coplanar line (CPW) 12 is formed, the base material 13 on which the microchannel 14 for arranging the sample is formed, and the RF connector 15 mounted on both ends of the CPW 12 High-frequency substrate 1A using a dielectric spectroscopic sensor having a high-frequency substrate 1A provided with a CPW 12, a base material 13 not forming a microchannel 14 and a high-frequency substrate 1B provided with an RF connector 15. , 1B S-parameters are measured, the propagation constant is calculated based on the measured S-parameters, the effective dielectric constant is calculated from the propagation constant, and the dielectric constant of the sample is calculated from the effective dielectric constant. By de-embedding the transmission characteristics of the CPW12, it is possible to measure the dielectric constant with good reproducibility in dielectric spectroscopy. Since the high-frequency substrates 1A and 1B of the present embodiment include the RF connector 15, it is possible to prevent the position of the probe from being uneven by the measurer and the CPW 12 from being damaged by the probe.

本実施の形態によれば、高周波基板1A,1Bに加えて、反射測定用の高周波基板1C,1Dを有する誘電分光センサを用いて、高周波基板1A〜1DのSパラメータの測定結果からTRL校正を用いて誤差係数を算出し、試料を設置した高周波基板1AのSパラメータの測定結果から誤差係数を補正したSパラメータを算出し、補正されたSパラメータを用いて伝搬定数を計算し、伝搬定数から実効誘電率を計算し、実効誘電率から試料の誘電率を計算することにより、誘電分光において再現性よく誘電率を測定することが可能となる。 According to this embodiment, TRL calibration is performed from the measurement results of S-parameters of high-frequency substrates 1A to 1D using a dielectric spectroscopy sensor having high-frequency substrates 1C and 1D for reflection measurement in addition to high-frequency substrates 1A and 1B. The error coefficient is calculated using, the S parameter corrected for the error coefficient is calculated from the measurement result of the S parameter of the high frequency substrate 1A on which the sample is placed, the propagation constant is calculated using the corrected S parameter, and the propagation constant is used. By calculating the effective dielectric constant and calculating the dielectric constant of the sample from the effective dielectric constant, it is possible to measure the dielectric constant with good reproducibility in dielectric spectroscopy.

1A〜1D…高周波基板
11…基板
12…CPW
13…母材
14…マイクロ流路
15…RFコネクタ
16…両面テープ
17…位置決めピン
1A to 1D ... High frequency board 11 ... Board 12 ... CPW
13 ... Base material 14 ... Micro flow path 15 ... RF connector 16 ... Double-sided tape 17 ... Positioning pin

Claims (2)

コプレーナ線路を形成した基板と試料を配置するマイクロ流路を形成した母材と前記コプレーナ線路の両端に配置したコネクタを備えた第1高周波基板と、
コプレーナ線路を形成した基板とマイクロ流路を形成していない母材と前記コプレーナ線路の両端に配置したコネクタを備えた第2高周波基板と、
前記第2高周波基板の半分の大きさのコプレーナ線路を形成した基板とマイクロ流路を形成していない母材と前記コプレーナ線路の片端に配置したコネクタとを備えた反射測定用の第3,第4高周波基板と、
を有することを特徴とする誘電分光センサ。
A substrate on which a coplanar line is formed, a base material on which a microchannel for arranging a sample is formed, and a first high-frequency substrate having connectors arranged at both ends of the coplanar line.
A substrate on which a coplanar line is formed, a base material on which no microchannel is formed, and a second high-frequency substrate having connectors arranged at both ends of the coplanar line.
The third and third for reflection measurement provided with a substrate having a coplanar line formed to be half the size of the second high-frequency substrate, a base material not forming a microchannel, and a connector arranged at one end of the coplanar line. 4 high frequency board and
A dielectric spectroscopic sensor characterized by having.
コプレーナ線路を形成した基板と試料を配置するマイクロ流路を形成した母材と前記コプレーナ線路の両端に配置したコネクタを備えた第1高周波基板と、コプレーナ線路を形成した基板とマイクロ流路を形成していない母材と前記コプレーナ線路の両端に配置したコネクタを備えた第2高周波基板と、前記第2高周波基板の半分の大きさのコプレーナ線路を形成した基板とマイクロ流路を形成していない母材と前記コプレーナ線路の片端に配置したコネクタとを備えた反射測定用の第3,第4高周波基板とを有する誘電分光センサを用いて前記試料の誘電率を測定する誘電率測定方法であって、
前記マイクロ流路に試料を配置していない状態で前記第1高周波基板のSパラメータを測定するステップと、
前記第2高周波基板のSパラメータを測定するステップと、
前記第3,第4高周波基板のSパラメータを測定するステップと、
測定されたSパラメータからTRL校正を用いて誤差係数を算出するステップと、
前記マイクロ流路に試料を配置した状態で前記第1高周波基板のSパラメータを測定し、前記誤差係数で補正したSパラメータを算出するステップと、
前記補正したSパラメータに基づいて伝搬定数を計算するステップと、
前記伝搬定数から実効誘電率を計算するステップと、
前記実効誘電率から前記試料の誘電率を計算するステップと、
を有することを特徴とする誘電率測定方法。
A substrate on which a coplanar line is formed, a first high-frequency board having a base material on which a microchannel for arranging a sample is formed, connectors arranged at both ends of the coplanar line, and a substrate on which a coplanar line is formed and a microchannel are formed. A second high-frequency board having a base material and connectors arranged at both ends of the coplanar line, and a board having a coplanar line half the size of the second high-frequency board do not form a microchannel. A dielectric constant measuring method for measuring the dielectric constant of a sample using a dielectric spectroscopic sensor having a base material and a third and fourth high frequency substrates for reflection measurement having a connector arranged at one end of the coplanar line. hand,
A step of measuring the S parameter of the first high frequency substrate in a state where the sample is not arranged in the microchannel, and a step of measuring the S parameter.
The step of measuring the S parameter of the second high frequency substrate and
The step of measuring the S-parameters of the third and fourth high-frequency substrates, and
The step of calculating the error coefficient from the measured S-parameters using TRL calibration, and
A step of measuring the S-parameters of the first high-frequency substrate with the sample placed in the microchannel and calculating the S-parameters corrected by the error coefficient.
The step of calculating the propagation constant based on the corrected S parameter, and
The step of calculating the effective permittivity from the propagation constant and
The step of calculating the permittivity of the sample from the effective permittivity, and
A method for measuring a dielectric constant.
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