Device and method for measuring microwave surface resistance of dielectric conductor deposition interface
20230152360 · 2023-05-18
Inventors
- Cheng Zeng (Chengdu, CN)
- Tianhui Sun (Chengdu, CN)
- Junsong Ning (Chengdu, CN)
- Shirong Bu (Chengdu, CN)
- Zhanping Wang (Chengdu, CN)
Cpc classification
G01N22/00
PHYSICS
G01R27/02
PHYSICS
G01R27/04
PHYSICS
International classification
Abstract
A device for measuring a microwave surface resistance of a dielectric conductor deposition interface includes: a test platform, a calibration component, a sealing cavity and a support plate; wherein the test platform comprises: a shielding cavity having an open bottom, a dielectric rod, an input coupling structure, an output coupling structure, and a dielectric supporter; the dielectric conductor test sample and the test platform form a TE.sub.0m(n+δ) mode dielectric resonator; the calibration component and the dielectric conductor test sample are mounted on the test platform to measure corresponding quality factors, thereby calculating the microwave surface resistance of the deposition interface of the dielectric conductor test sample. The present invention requires no pre-measurement of relative permittivity and loss tangent of the dielectric conductor test sample. After calibration, the microwave surface resistance of the dielectric conductor deposition interface can be obtained by only one non-destructive measurement.
Claims
1. A device for measuring a microwave surface resistance of a dielectric conductor deposition interface, comprising: a test platform, a calibration component, a sealing cavity and a support plate; wherein the test platform comprises: a shielding cavity having an open bottom, a dielectric rod, an input coupling structure, an output coupling structure, and a dielectric supporter; wherein the input coupling structure and the output coupling structure are symmetrically distributed on two sides of the shielding cavity; the dielectric rod is located inside the shielding cavity, and is fixed to the shielding cavity by the dielectric supporter; a bottom end of the dielectric rod and a bottom end of the shielding cavity are on a same plane; wherein a dielectric conductor test sample is placed on the bottom end of the dielectric rod and a bottom concave of the shielding cavity, and is detachably fastened by the support plate to form a TE.sub.0m(n+δ) (m, n=1, 2, 3 . . . ) mode dielectric resonator with the test platform; wherein the dielectric conductor test sample is obtained by depositing a conductor on a dielectric; a dielectric side of the dielectric conductor test sample faces an interior of the dielectric resonator, and a conductor side is attached to the support plate; wherein the calibration component is detachably arranged on the bottom end of the shielding cavity; and wherein the sealing cavity is detachably arranged on an extension part of the bottom end of the shielding cavity.
2. The device, as recited in claim 1, wherein the calibration component comprises: a calibration plate, a calibration holder, and two calibration dielectric plates; wherein the calibration plate is a conductor plate with a known microwave surface resistance; the calibration dielectric plate comprises two dielectric plates, and sizes and materials of the two dielectric plates are identical to those of a dielectric layer in the dielectric conductor test sample; an internal resonant structure of the calibration holder is identical to that of the test platform, and the calibration holder are placed opposite to the test platform; the calibration holder and the test platform are symmetrical about end faces.
3. The device, as recited in claim 1, wherein the shielding cavity is made of a hard metal material; the dielectric rod is rutile, sapphire or beryllium oxide ceramics; and the dielectric supporter is nylon, polytetrafluoroethylene or polyethylene foam.
4. The device, as recited in claim 1, wherein both the input coupling device and the output coupling device adopt a coupling hole-to-coaxial structure.
5. The device, as recited in claim 1, wherein for the TE.sub.0m(n+δ) (m, n=1, 2, 3 . . . ) mode dielectric resonator, a resonant frequency and a physical size thereof are calculated through analyzing Maxwell's equations based on boundary conditions.
6. A method for measuring a microwave surface resistance of a dielectric conductor deposition interface with the device as recited in claim 1, comprising steps of: step 1: mounting the calibration plate and one calibration dielectric plate on the test platform, fastening with the support plate, and then sealing with the sealing cavity; keeping an obtained test device at a working temperature of the dielectric conductor test sample, and measuring an unloaded quality factor Q.sub.1; step 2: mounting the calibration holder and two calibration dielectric plates on the test platform, and then sealing with the sealing cavity; keeping the obtained test device at the working temperature of the dielectric conductor test sample, and measuring an unloaded quality factor Q.sub.2; step 3: mounting the dielectric conductor test sample on the test platform, fastening with the support plate, and then sealing with the sealing cavity; keeping the obtained test device at the working temperature of the dielectric conductor test sample, and measuring an unloaded quality factor Q.sub.0; and step 4: calculating with a formula:
Description
BRIEF DESCRIPTION OF THE DRAWINGS
[0027]
[0028]
[0029]
[0030]
[0031]
ELEMENT REFERENCE
[0032] 1—test platform; 2—dielectric conductor test sample; 3—support plate; 4—sealing cavity; 5—shielding cavity; 6—resonant cavity; 7—input coupling structure; 8—output coupling structure; 9—dielectric supporter; 10—dielectric rod; 11—calibration dielectric plate; 12—calibration plate; 13—calibration holder.
DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENT
[0033] In order to make the objects, technical solutions and advantages clearer, the present invention will be further illustrated below in conjunction with embodiments and accompanying drawings. The embodiments and description thereof are exemplary only and not intended to be limiting.
Embodiment 1
[0034] The embodiment 1 provides a device for measuring a microwave surface resistance of a dielectric conductor deposition interface, comprising: a test platform 1, a calibration component, a sealing cavity 4 and a support plate 3. Referring to
[0035] The input coupling structure 7 and the output coupling structure 8 are symmetrically distributed on two sides of the shielding cavity 5, which adopt a coupling hole-to-coaxial structure, so as to effectively avoid direct coupling and have high test accuracy.
[0036] The dielectric rod 10 is located inside the shielding cavity 5, and is fixed to the shielding cavity 5 by the dielectric supporter 9; a bottom end of the dielectric rod 10 and a bottom concave of the shielding cavity 5 are on a same plane. A depth of the bottom concave is the same as a thickness of a test sample, and the test platform 1 is concentric with the dielectric rod 10 and the dielectric supporter 9.
[0037] A dielectric conductor test sample 2 is placed on the bottom end of the dielectric rod 10 and the bottom concave of the shielding cavity 5, whose size is larger than an internal diameter of the shielding cavity 5; the dielectric conductor test sample 2 is detachably fastened by the support plate 3 to form a TE.sub.0m(n+δ) mode dielectric resonator with the test platform 1, wherein a central area of the dielectric resonator is a resonant cavity 6. The dielectric conductor test sample 2 is formed by depositing a conductor on a dielectric; a dielectric side of the dielectric conductor test sample 2 faces an interior of the dielectric resonator, and a conductor side is attached to the support plate 3. A cross-sectional structure of the device for measuring the microwave surface resistance of the dielectric conductor deposition interface after loading the dielectric conductor test sample 2 is shown in
[0038] The calibration component is detachably arranged on the bottom ends of the dielectric rod 10 and the shielding cavity 5, comprising: a calibration plate 12, a calibration holder 13, and a calibration dielectric plate 11; wherein the calibration plate 12 is a conductor plate with a known microwave surface resistance, which is placed on the bottom end of the dielectric rod 10 loaded with one calibration dielectric plate and the bottom end of the shielding cavity 5. A cross-sectional structure of the device after loading a calibration dielectric plate 11 and the calibration plate 12 is shown in
[0039] The sealing cavity 4 is detachably arranged on an extension part of the bottom end of the shielding cavity 5, so as to shield the calibration component, or the support plate 3 and the dielectric conductor test sample 2.
[0040] The shielding cavity 5 is made of silver-plated brass, with an internal diameter of about 40 mm and an internal height of about 20 mm; the dielectric rod 10 is made of a material with low-loss, high-dielectric constant and high Q value, preferably sapphire with a diameter of about 10 mm and a height of about 5 mm; the dielectric supporter 9 is made of a material with low loss and low dielectric constant, preferably polytetrafluoroethylene, with a lower part diameter of about 10 mm, a lower part height of about 10 mm, an upper part diameter of about 15 mm and, an upper part height of about 5 mm.
[0041] According to the embodiment 1, a relationship between an unloaded quality factor Q.sub.0 of the dielectric resonator formed by the dielectric conductor test sample 2 and the test platform 1 at a test frequency and a microwave surface resistance R.sub.s of the dielectric conductor test sample is:
Q.sub.0.sup.−1=X+YR.sub.s (1)
wherein the working mode is TE.sub.0m(n+δ); X and Y are constants that are not affected by the microwave surface resistance of the deposition interface of the dielectric conductor test sample, but are determined by a structure of the test device; wherein a derivation process of the formula is as follows.
[0042] The unloaded quality factor Q.sub.0 of the dielectric resonator formed by the dielectric conductor test sample 2, walls of the shielding cavity 5, and the dielectric material (comprising the dielectric supporter 9 and the dielectric rod 10) can be expressed as:
[0043] wherein ω.sub.0 is a resonant angular frequency of the dielectric resonator; P.sub.c is a power consumed by the shielding cavity 5; P.sub.d is a power consumed by the dielectric material; P.sub.sample is a power consumed by the microwave surface resistance R.sub.s of the deposition interface of the dielectric conductor test sample 2; and W refers to average energy stored in the dielectric resonator within one cycle of the working mode TE.sub.0m(n+δ) at a resonant frequency f.sub.0.
[0044] According to the electromagnetic field theory, if the electromagnetic field distribution in the dielectric cavity is known, calculation formulas are as follows:
[0045] wherein V.sub.rod, V.sub.ring, V.sub.sub and V.sub.air are volumes respectively occupied by the dielectric rod 10, the dielectric supporter 9, the dielectric layer of the dielectric conductor test sample 2, and air in the dielectric resonant cavity; S.sub.Ag and S.sub.sample are respectively surface areas of an internal surface of the shielding cavity 5 and a conductor layer of the dielectric conductor test sample 2; ε′.sub.1−jε″.sub.1, ε′.sub.2−jε″.sub.2 and ε′.sub.3−jε″.sub.3 are respectively dielectric constants of the dielectric rod 10, the dielectric supporter 9 and the dielectric layer of the dielectric conductor test sample 2; ε.sub.0 and μ.sub.0 are respectively permittivity and permeability in vacuum; E is electric field intensity; H is magnetic field intensity; H.sub.t is tangential magnetic field intensity; R.sub.SAg and R.sub.Ssample are respectively surface microwave resistances at the deposition interface of the shielded cavity 5 and the dielectric conductor test sample 2.
[0046] After combining the above formulas, it can be concluded that:
[0047] wherein X and Y are ratios of electromagnetic field integrals; when the dielectric resonant cavity is fixed and field distribution thereof is not affected by perturbation of the dielectric conductor test sample 2, values of X and Y are independent from the dielectric conductor test sample 2, and will not change due to the change of the dielectric conductor test sample 2; at the same time, since X and Y are both constants that have nothing to do with amplitude of the electromagnetic field, after the values of X and Y are determined, the microwave surface resistance R.sub.s can be obtained by measuring the unloaded quality factor Q.sub.0 of the dielectric resonator loaded with the dielectric conductor test sample 2:
[0048] although the values of X and Y can be determined by evaluating the electromagnetic field distribution inside the dielectric resonator, a solution process thereof is very complicated; alternatively, the values of X and Y can be determined by experimental calibration.
[0049] Similarly, the above derivation process and the formula (7) are applicable to the dielectric resonant cavity formed after the device is loaded with the calibration plate 12 with a microwave surface resistance R.sub.S1 as well as the dielectric resonant cavity formed after the device is loaded with the calibration holder 13 and the calibration dielectric plate 11. At this time, R.sub.Ssample is replaced with R.sub.S1 and 0, respectively. Since TE.sub.0m(n+δ) modes have no radial current and there is no loss on the mirror symmetry plane.
[0050] Furthermore, the embodiment 1 also provides a method for measuring a microwave surface resistance of a dielectric conductor deposition interface with the above device, wherein a working temperature can be 4.2-800K. The method comprises steps of:
[0051] step 1: mounting the calibration plate 12 and one calibration dielectric plate 11 on the test platform 1, fastening with the support plate 3, and then sealing with the sealing cavity 4; keeping an obtained test device at a working temperature of the dielectric conductor test sample 2, and measuring an unloaded quality factor Q.sub.1;
[0052] step 2: mounting the calibration holder 13 and two calibration dielectric plates 11 on the test platform 1, and then sealing with the sealing cavity 4; keeping the obtained test device at the working temperature of the dielectric conductor test sample 2, and measuring an unloaded quality factor Q.sub.2;
[0053] step 3: mounting the dielectric conductor test sample 2 on the test platform 1, fastening with the support plate 3, and then sealing with the sealing cavity 4; keeping the obtained test device at the working temperature of the dielectric conductor test sample 2, and measuring an unloaded quality factor Q.sub.0; and
[0054] step 4: putting the unloaded quality factors Q.sub.1 and Q.sub.2 obtained in the steps 1 and 2 into the formula (7) respectively to get X=1/Q.sub.2, Y=1/Q.sub.1−X/R.sub.s1, thereby obtaining the microwave surface resistance R.sub.s of the dielectric conductor test sample 2 at the test frequency:
[0055] wherein the microwave surface resistance R.sub.s of the dielectric conductor test sample 2 is obtain, and R.sub.s1 is a microwave surface resistance of the calibration plate 12 converted from conductivity to the resonance frequency.
[0056] In order to further describe the present invention, microwave surface resistance test results of two different dielectric-conductor material deposition interfaces according to the steps and formulas in the embodiment 1 are given below.
Embodiment 2
[0057] The dielectric material of the dielectric conductor test sample 2 in the embodiment 2 was made of titanium dioxide and polyphenylene sulfide, wherein copper was coated on one side by a high-temperature and high-pressure process. Two pieces of test samples (sample A and sample B) were prepared, with a diameter of 40 mm, a dielectric layer thickness of 0.5 mm, and a conductor layer thickness of 0.035 mm. The two test samples were tested by the device and the method of the embodiment 1. Calibration test data are shown in Table 1, wherein a working frequency was 11.24 GHz and a working temperature is room temperature 293K. According to the step 1, after loading the calibration plate 12 and one calibration dielectric plate 11, the quality factor Q.sub.1 of the working mode test platform 1 was 16063; according to the step 2, after loading two calibration dielectric plates 11 and the calibration holder 13, the quality factor Q.sub.2 of the working mode test platform 1 was 35410, which leads to X=2.824×10.sup.−5, Y=9.006×10.sup.−5. Among them, material and size of the calibration dielectric plate 11 were the same as those of the dielectric part of the dielectric conductor test sample 2. The conductivity of the calibration plate 12 was 3.1×10.sup.7S/m, so the microwave surface resistance R.sub.S1=37.84 mΩ when converted to the resonance frequency. Thereafter, to test the microwave surface resistance of the deposition interface of the dielectric conductor test sample made of the same material, it is only necessary to test the quality factor of the working mode test platform 1 once after loading the dielectric conductor test sample 2. Table 2 and Table 3 show test results of the microwave surface resistance at the deposition interface of the two above-mentioned dielectric conductor test samples (sample A and sample B), respectively. Each sample was tested three times according to the step 3, wherein relative standard deviations of the microwave surface resistance R.sub.S and conductivity σ were no more than 0.1%, indicating excellent repeatability of the device.
TABLE-US-00001 TABLE 1 Calibration test data of samples A and B Resonance Test frequency f.sub.0 Quality step (GHz) factor X Y Step 1 11.24 16063 2.824 × 10.sup.−5 9.006 × 10.sup.−5 Step 2 11.24 35410
TABLE-US-00002 TABLE 2 Microwave surface resistance test results of sample A deposition interface Resonance Qual- Surface Conduc- R.sub.S relative σ relative Sample frequency ity resistance tivity σ standard standard A f.sub.0 (GHz) factor R.sub.S (mΩ) (S/m) deviation deviation First 11.24 9228 89.13 5.59 × 10.sup.6 0.03% 0.10% Second 11.24 9226 89.16 5.58 × 10.sup.6 Third 11.24 9225 89.18 5.58 × 10.sup.6
TABLE-US-00003 TABLE 3 Microwave surface resistance test results of sample B deposition interface Resonance Qual- Surface Conduc- R.sub.S relative σ relative Sample frequency ity resistance tivity σ standard standard B f.sub.0 (GHz) factor R.sub.S (mΩ) (S/m) deviation deviation First 11.24 9231 89.10 5.59 × 10.sup.6 0.06% 0.10% Second 11.24 9236 89.03 5.60 × 10.sup.6 Third 11.24 9239 88.99 5.60 × 10.sup.6
[0058] Embodiment 3 The dielectric material is zirconia, and the dielectric is single-sided magnetron sputtering and electroplating.
[0059] The dielectric material of the dielectric conductor test sample 2 in the embodiment 3 was made of zirconia, wherein copper was coated on one side by single-sided magnetron sputtering and electroplating. Two pieces of test samples (sample I and sample II) were prepared, with a diameter of 40 mm, a dielectric layer thickness of 0.5 mm, and a conductor layer thickness of 0.035 mm. The two test samples were tested by the device and the method of the embodiment 1. Calibration test data are shown in Table 4, wherein a working frequency was 11.21 GHz and a working temperature is room temperature 293K. According to the step 1, after loading the calibration plate 12 and one calibration dielectric plate 11, the quality factor Q.sub.1 of the working mode test platform 1 was 11570; according to the step 2, after loading two calibration dielectric plates 11 and the calibration holder 13, the quality factor Q.sub.2 of the working mode test platform 1 was 30139, which leads to X=3.318×10.sup.−5, Y=1.110×10.sup.−6. Among them, material and size of the calibration dielectric plate 11 were the same as those of the dielectric part of the dielectric conductor test sample 2. The conductivity of the calibration plate 12 was 3.1×10.sup.7S/m, so the microwave surface resistance R.sub.S1=37.78 mΩ when converted to the resonance frequency. Thereafter, to test the microwave surface resistance of the deposition interface of the dielectric conductor test sample made of the same material, it is only necessary to test the quality factor of the working mode test platform 1 once after loading the dielectric conductor test sample 2. Table 5 and Table 6 show test results of the microwave surface resistance at the deposition interface of the two above-mentioned dielectric conductor test samples (sample I and sample II), respectively. Each sample was tested three times according to the step 3, wherein relative standard deviations of the microwave surface resistance R.sub.S and conductivity σ were no more than 0.4%, indicating excellent repeatability of the device.
TABLE-US-00004 TABLE 4 Calibration test data of samples I and II Resonance Test frequency f.sub.0 Quality step (GHz) factor X Y Step 1 11.21 11570 3.318 × 10.sup.−5 1.110 × 10.sup.−6 Step 2 11.21 30139
TABLE-US-00005 TABLE 5 Microwave surface resistance test results of sample I deposition interface Resonance Qual- Surface Conduc- R.sub.S relative σ relative Sample frequency ity resistance tivity σ standard standard I f.sub.0 (GHz) factor R.sub.S (mΩ) (S/m) deviation deviation First 11.21 12539 33.04 4.05 × 10.sup.7 0.13% 0.29% Second 11.21 12554 32.97 4.07 × 10.sup.7 Third 11.21 12536 33.05 4.05 × 10.sup.7
TABLE-US-00006 TABLE 6 Microwave surface resistance test results of sample II deposition interface Resonance Qual- Surface Conduc- R.sub.S relative σ relative Sample frequency ity resistance tivity σ standard standard II f.sub.0 (GHz) factor R.sub.S (mΩ) (S/m) deviation deviation First 11.21 12584 32.84 4.10 × 10.sup.7 0.19% 0.37% Second 11.21 12590 32.81 4.11 × 10.sup.7 Third 11.21 12610 32.72 4.13 × 10.sup.7
[0060] According to the embodiment 2 and the embodiment 3, it requires no pre-measurement of relative permittivity and loss tangent of the dielectric material test sample. The calibration plate 12 can adapt to dielectric-conductor samples of various sizes and materials. For dielectric-conductor test samples of the same type, once the calibration is completed, the microwave surface resistance of the dielectric conductor deposition surface can be obtained in a one-step test, which provides high test efficiency in mass testing.
[0061] It should be noted that the present invention and accompanying drawings has illustrated the preferred embodiments of the testing method to help readers better understand the present invention, while various modifications and substitutions can be made to the present invention. All modifications, substitutions, improvements, etc. made within the spirit and principles of the present invention shall fall in the protection scope of the appended claims.