Electrostatic Force Detector With Improved Shielding And Method Of Using An Electrostatic Force Detector
20190072519 ยท 2019-03-07
Inventors
Cpc classification
G01Q70/04
PHYSICS
G01N27/60
PHYSICS
G01R29/0885
PHYSICS
International classification
G01N27/60
PHYSICS
Abstract
An electrostatic force detector (EFD) for measuring electrostatic force of a surface under test (SUT) includes a force detector comprising a cantilevered arm and a probe. The EFD has a shield with a hole through which the probe extends and is positioned to prevent electromagnetic energy from the SUT from reaching the cantilevered arm and most of the probe, and preventing light from reaching the SUT. A method for selecting a voltage range for an EFD measuring a charge on an SUT includes measuring with the EFD two voltages at or near the end-points of an estimated voltage-range, and then comparing the polarities. If the polarities differ, the estimated voltage-range is selected. However, if the polarities are the same, then the estimated voltage range is adjusted to provide a new estimated voltage-range, which is then tested for purposes of determining whether the charge on the SUT is within the range.
Claims
1. An electrostatic force detector (EFD) for measuring electrostatic force of a surface under test (SUT), the EFD comprising: (a) a force detector having a cantilevered arm and a probe, the probe extending from the cantilevered arm at a location that is distal from a fulcrum of the cantilevered arm and oriented so that electrostatic force due to electrostatic charge on the SUT is induced at a tip of the probe; (b) an optical system for transforming bending of the cantilevered arm due to electrostatic force induced at the tip into an electrical signal containing a frequency component of the electrostatic force induced at the tip; (c) a voltage source for applying bias voltage to the force detector; (d) a frequency detector for detecting the frequency component of the electrical signal so that a measurement of electrostatic charge on the SUT can be obtained; and (e) a shield having a surface defining a hole through the shield, the hole being sized to allow movement of the probe relative to the shield, and the shield being positioned to inhibit electromagnetic energy from the SUT from reaching the cantilevered arm and to prevent light from reaching the SUT, wherein the shield is located between the cantilevered arm and the SUT, and a portion of the probe extends through the hole in the shield.
2. The EFD of claim 1, wherein the shield is located closer to the SUT than to the cantilevered arm.
3. The EFD of claim 1, wherein the shield is maintained at the same electrical potential as the force detector so that lines of electrostatic force are terminated at the shield.
4. The EFD of claim 1, wherein a length of the cantilevered arm is between 900 m and 3600 m.
5. The EFD of claim 1, wherein a width of the cantilevered arm is between 400 m and 1400 m.
6. The EFD of claim 5, wherein a width of the shield is equal to or greater than the width of the cantilevered arm.
7. The EFD of claim 1, wherein a width of the shield is equal to or greater than a width of the cantilevered arm.
8. (canceled)
9. (canceled)
10. (canceled)
11. (canceled)
12. (canceled)
13. (canceled)
14. (canceled)
15. (canceled)
Description
BRIEF DESCRIPTION OF THE DRAWINGS
[0031] For a fuller understanding of the nature and objects of the invention, reference should be made to the accompanying drawings and the subsequent description. Briefly, the drawings are:
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[0044]
FURTHER DESCRIPTION OF THE INVENTION
[0045] The present invention is an EFD, such as an EFM, for measuring electric charge on an SUT. The invention may be used in devices other than an EFM, and the invention is therefore not limited to an EFM. The invention may be used with an SUT that is an electrophotography drum in a photocopier, or for piezoceramic manufacturing. So, even though the description sometimes focuses on EFM's, claims in this document are not necessarily limited to an EFM, unless such a claim expressly calls out an EFM.
[0046] The invention may be embodied as an EFD that includes a force detector. The force detector may be comprised of a cantilevered arm and a probe extending from the cantilevered arm. The force detector may be formed from a single piece of material. The probe may be comprised of a shaft that terminates in a tip, and the tip ideally has a small surface area. In use, the tip of the probe is positioned close to the SUT so that charges on the SUT induce an electrostatic force at the tip. The force exerted on the tip is transmitted via the shaft of the probe to the cantilevered arm so that the cantilevered arm is caused to bend. A laser may be pointed at a reflective surface of the cantilevered arm. Laser light from the laser is reflected from the cantilevered arm and received at a photo detector. The location of the received laser light is indicative of the curvature of the cantilevered arm, and the curvature is indicative of the force being exerted on the cantilevered arm. Thus, by detecting the location of the reflected laser light on the photo detector, it is possible to determine the force being exerted on the cantilevered arm. For example, a detection circuit may be designed and/or calibrated to correlate a particular location on the photo detector with a particular amount of charge on the SUT.
[0047] Since the curvature of the cantilevered arm is used to determine the amount of charge on the SUT, and since the curvature is caused by forces exerted on the probe, it is beneficial to limit such forces to those forces that are exerted on the tip as a result of charges on the SUT. To improve measurement accuracy, one or more shields may be employed in order to prevent electrostatic charges on the SUT from exerting forces on the force detector at locations other than the probe tip, such as on the cantilevered arm and/or the shaft of the probe near the cantilevered arm.
[0048] Furthermore, light that is received by the SUT could affect the charge on the SUT, particularly when the SUT is photosensitive. Such light may originate from the laser, or elsewhere. For example, such SUT-received light may result from (a) imperfect reflection of the laser light off of the cantilevered arm, (b) imperfect transmission of the laser light through the ambient medium, which may be caused by contaminates in the ambient gas, and/or (c) less than full absorption of light received at the photo detector. To reduce the amount of SUT-received light, embodiments of our invention may employ one or more shields, one or more of which may be placed between the cantilevered arm and the SUT, and also may extend beyond the probe. When an embodiment of our invention has a shield that extends beyond the probe, an orifice may be provided in the shield in order to allow the probe to extend through the shield. Furthermore, one or more of the shields may be wider than the cantilevered arm.
[0049] A representative configuration of a prior art electrostatic force microscope to which the present invention may be applied is shown is
[0050] Electrostatic force is induced at the tip 16 of the detector 10 due to a charge on the SUT 40. The electrostatic force on the tip 16 causes the cantilevered arm 12 to bend from a fulcrum 85 because one end of the cantilevered arm 12 is fixed, in this case to a transducer 90. The transducer 90 may be a piezoelectric device that creates motion on the arm 12 corresponding to an electric signal provided to the transducer 90.
[0051] The amount that the cantilevered arm bends is transduced to an electrical signal by using the optical-lever method. An external bias voltage, which has a DC and an AC component, is applied via conductor 92 to the transducer 90 in order to distinguish the polarity of the charge on the SUT 40. The bias voltage Vt is given by the equation:
V.sub.t=V.sub.AC Sin t+V.sub.DCEq. 1
[0052] The photo detector 24 receives reflected laser light, which has been modulated by the electric signal applied to the transducer 90, and provides the detector 30 with a signal which contains the frequency components of and 2. If the relation between the tip 16 and the SUT 40 is considered as a parallel plane model (see
[0053] In the foregoing equations, Vt is the external bias voltage, is the density of the charge distribution on the SUT 40, is the dielectric constant of the SUT 40, d.sub.o is the thickness of the SUT 40, d is the distance between the probe tip 16 and the metal substrate 300 and S is the area of the SUT 40 that is being sensed by the tip 16. If and d.sub.o are known, it is possible to calculate p (the density of the charge distribution) by detecting F.sub. ( component of electrostatic force), or by measuring V.sub.DC, which is given to the detector as a feedback to let F.sub. become zero. If d.sub.o is zero, it means that the surface under test is a solid metal, and the probe is no longer positioned over the SUT 40. Since one has to measure the charge distribution on the dielectric film 100, the condition of d.sub.o=0 is not realistic, therefore one has to measure F.sub.2 directly.
[0054] In order to be able to calculate the density of the charge distribution on the SUT 40 for a particular location (i.e. the charge on the SUT 40), the electrostatic force that is induced between the probe tip 16 and surface charge on the SUT 40 must be determined. To obtain the voltage distribution, Poisson's equation may be useful:
.sup.2V=/.sub.oEq. 4
where V is the voltage to be obtained from this calculation, p is the density of the charge distribution, and .sub.o is the dielectric constant of vacuum.
[0055] The electrostatic field distribution of the area being sensed by the probe tip 16 may be determined by utilizing the above mentioned voltage distribution (.sup.2V). One calculates the electrostatic force which is induced between the tip 16 and the charge on the SUT 40 from data obtained through the previous two steps.
[0056]
[0057] With reference to Eq. 3, F.sub.2 can be used to provide information about roughness of the SUT 40. It may be useful to provide some detail regarding how this can be accomplished. With reference to
[0058] The electrostatic force detector with cantilevered arm described above has been designed and manufactured so that electrostatic charge on a dielectric film, which is located on a conductive surface, can be detected. With the method and apparatus as described, scanning in a relatively large area (e.g. several hundred square millimeters) may be provided with relatively high spatial resolution and a precise measurement of charge distribution. To achieve such a precise measurement, it is necessary to measure the thickness of the dielectric film that holds the charge.
[0059] It has been ascertained that systems and methods of determining the electrostatic charge on a film having a thickness d.sub.o via the effects of an electrostatic force are susceptible to errors that arise from a change in the electrostatic force that results from a change of the film thickness d.sub.o because the equivalent tip area which sees the SUT 40 changes due to the change of d.sub.o. Thus, in order to determine a more accurate measurement about the amount of electrostatic charge on the SUT 40, one must adjust the data that is gathered by the EFD using information about changes in the dielectric film thickness. A film thickness measurement method is proposed herein which utilizes a detected F.sub.2 component arising from the AC bias voltage. By adjusting the measured force data to take film thickness into account, the error that would otherwise be present can be reduced to less than 10%, and most of that error can be attributed to the change of film thickness d.sub.o.
[0060] A probe 14 that is in keeping with the invention may be made to detect electrostatic charge with less than 1 fC sensitivity and a spatial resolution of 10 m. Such a probe 14 may be made from nickel foil. With such a probe 14, the invention may be used to measure both electrostatic charge on the SUT 40 and film thickness of the SUT 40 simultaneously so that one can then adjust the measured electrostatic charge, and thereby determine the actual amount of electrostatic charge on the SUT 40.
[0061] When an electrostatic force is applied to the tip 16 of the probe 14, additional electrostatic force caused by the same electrostatic field may appear at the cantilevered arm 12, which can cause a measurement error and reduce the spatial resolution of the probe. In accordance with the present invention, the cantilevered arm 12 and a large portion of the shaft 204 of the probe 14 are shielded from the SUT 40 in order to prevent the charges on the SUT 40 from acting on the shielded sections of the probe 14 so that the accuracy of the measurement system is improved. Referring to
[0062] The force detector 200 and shield 210 may be maintained at the same or nearly the same electrical potential. This is represented diagrammatically in
[0063] Having provided an overview of an EFD that is in keeping with the present invention, additional detail about the invention will be provided below.
[0064] In some situations, such as electrophotography, the charges on the SUT 40 that need to be measured are quite high, e.g. +/1 kV. Furthermore, the SUT 40 is quite large relative to the resolution required, and thus many measurement readings are required in order to provide useful information about the SUT 40. For example, in many situations, the total area to be analyzed is about several hundred square millimeters, and the required spatial resolution is on the order of 10 micrometers. Although a conventional Kelvin Force Microscope (KFM) has the capability to measure surface voltage with a spatial resolution of 10 nm to 100 nm, the area over which a KFM can realistically measure is in the range of a few hundred square micrometers, which is very small compared to what is expected of electrophotography. By way of contrast, prior art electrostatic voltmeters that employ capacitive coupling between the sensor and the SUT 40 have the ability to scan a wide area (e.g. 200 mm.sup.2), but the spatial resolution is normally only as low as a few millimeters. Ideally, an improved EFD would have the ability to scan a much wider area than a typical KFM, have an input voltage range of +/1 kV, and have a spatial resolution of about 10 micrometers.
[0065] Our invention utilizes an optical leverage method for an EFD in combination with a large shield to detect the deflection of the cantilevered arm 12 for voltage measurement, and thus our EFD can be categorized as a kind of scanning probe microscope (SPM). Our invention is configured to detect small variations in the vibrations of the cantilevered arm 12 that are caused by the presence of a charge on the SUT 40, and the shield 210 may be configured to reduce the effects that light may have on certain types of SUTs 40in particular, those SUTs 40 that have photosensitive materials (e.g. a photoreceptor which reacts to the presence of light).
[0066] Surface voltage on a photoreceptor naturally decays even if the photoreceptor is located in a dark place (a.k.a. dark decay). Our EFD may include features to compensate for the expected dark decay characteristics of the specific photoreceptor of the SUT 40 in order to obtain an accurate estimate of the surface voltage when the measurement is actually made. One way of compensating for dark decay is to normalize the data produced by our EFD using information known about the dark decay rate and the difference in time between when the voltage was applied and when it was measured. Such compensation may be accomplished using a computer that has been programmed to receive force-information from the force detector 200, determine how much time has lapsed since the charge was applied to the SUT 40, select a compensation value corresponding to the lapsed time, and apply that compensation value to the force-information derived from the force detector 200.
[0067] The shield 210 described herein may be used as a means by which the surface voltage measurement by an EFD may be improved because the shield 210 reduces or eliminates scattered and leaked laser light that would otherwise expose photosensitive materials of the SUT 40. Also as described above, such a shield 210 can be positioned and operatively configured so as to reduce the ability of electrostatic forces to act on the force detector 200 in areas other than the tip 16e.g. the cantilevered arm 12 or that portion of the shaft 204 that is nearest to the arm 12. With such a system, an EFD according to our invention may be configured to detect latent images on a photoreceptor SUT 40, which is a significant improvement over prior art EFD systems.
[0068] At the risk of repeating some of the information above, we provide the following information.
[0069] A schematic diagram of an embodiment of our EFD is shown in
If a DC bias voltage is applied to the probe 14, and that DC bias voltage is equal to the surface voltage (d.sub.0/) of the SUT 40, then from equation 2 we understand that F.sub. is zero. Whenever the surface voltage measurement is conducted with the EFD, the bias voltage V.sub.DC is controlled so as to bring F.sub. equal to zero, and this may be done by controlling the feedback loop. This method allows for measuring the surface voltage of the SUT 40 without arcing between the tip 16 and the SUT 40. High spatial resolution measurement can be done with this method as well.
[0070] Surface Voltage Measurement on Photoreceptor with EFM.
[0071] Light Leakage Suppression Apparatus:
[0072] In operation of an embodiment of our EFD that employs an optical leverage system, laser light may be directed to a reflective surface on the cantilevered arm 12. Assuming a measurement duration of 100 sec, one embodiment of our invention may be configured to control the light leakage amount to less than 1.5 nW. In order to satisfy these conditions, that embodiment of our invention may incorporate one or more of three improvements: (1) a change in the shape of the cantilevered arm 12, (2) use of the improved shield 210, and (3) improvements of the procedures used to measure changes on the SUT 40. These three improvements are described below.
[0073] Change of Cantilever Shape.
[0074] To be a more efficient light shield, embodiments of the invention may have a cantilevered arm 12 that is wider than arms found in the prior art. However, if the width of the cantilevered arm 12 is increased, and nothing else changes, then the spring constant of the cantilevered arm 12 will increase. Since the spring constant impacts important elements of the system (such as resonant frequency and detecting sensitivity) it is desirable to minimize the change in spring constant, and this may be accomplished by increasing the length of the cantilevered arm 12. Table 1 shows information corresponding to a prior art arm 12 and an arm 12 according to the invention.
TABLE-US-00001 TABLE 1 Dimensions of new cantilever and detector Cantilever Cantilever Resonant length width frequency L [m] B [m] [Hz] Conventional 800 350 3000 cantilever New 1800 700 1257 cantilever
Table 1 is further described below in conjunction with
[0075] Confirmation of Light Shield Performance.
[0076] As mentioned, we changed the cantilevered arm's 12 dimensions to make it wider and longer than cantilevered arms 12 found in the prior art. By utilizing a wider and longer arm 12, light is prevented from reaching the SUT. Alternatively or in addition, our invention may deploy a larger shield 210, and having a pin hole 212 in the shield 210 in order to reduce the ability of light to reach the SUT 40. Such a shield 210 also reduces the unwanted electrostatic forces on the force detector 200 by limiting the electrostatic forces to that portion of the probe 14 that resides between the shield 210 and the SUT 40. In order to improve the ability of the shield 210 to prevent light from reaching the SUT 40, the pin hole 212 diameter should be carefully sized so as not to be larger than is needed to allow free movement of the probe tip 16.
[0077]
[0078] In one embodiment of the invention, we measured the relation between the current flow into the laser diode of the laser 22 versus light power of leaked laser light, and the relationship is shown in
[0079] Improvements on Measurement Routine for Photosensitive Materials.
[0080] With reference to
[0081] Feedback control may be accomplished by applying to the probe 14 an initial DC voltage having a certain range (V.sub.DC-HIGH to V.sub.DC-LOW) in order to obtain a V.sub.DC where V.sub. becomes zero from V.sub.(V.sub.DC-HIGH) and V.sub.(V.sub.DC-LOW) while a measurement is underway. Therefore, prior to commencement of each charge measurement, an expected voltage range may be established. The target voltage and range are used to adjust the input range of the AD/DA converter, and also to bias the probe 14 so that the charge on the SUT 40 can be accurately measured as well as to prevent arcing between the tip 16 and the SUT 40.
[0082] The flow chart of
[0083] To determine whether to shift the range up or down, the polarities of V.sub. and V.sub.+ are examined, and if both polarities are less than zero, then the range is shifted down, but if both polarities are greater than zero, then the range is shifted up. In
[0084] By executing such a method, arcing between the SUT 40 and the probe 14 may be avoided. For example, the probe tip 16 may be initially positioned at a distance that is far from the SUT 40, and then executing the method described above to determine a range of voltages that includes the charge. With that range having been selected, the probe tip 16 may then be moved closer to the SUT 40, but not so close that arcing is likely to occur, and the method is again executed using the previously selected range as a starting point, and modifying the range until the polarities differ. Once a new range has been selected, the probe tip 16 can again be moved closer to the SUT 40, but not so close that arcing is likely to occur, and the method is repeated again. This process can be repeated until the probe tip 16 is a desired distance from the SUT 40, at which point the charge on the SUT 40 is measured and provided to a user. It will now be recognized that a method according to the invention may be thought of as moving the probe tip 16 incrementally so as to approach the SUT 40 without risking the generation of an arc between the SUT 40 and probe tip 16.
[0085] Light Decay Measurement with EFM.
[0086] For a particular embodiment of the invention, we made measurements of a photoreceptor using an EFM having a light shield 210 according to our invention and our new measurement routine described above. For comparison purposes, we made similar surface 40 voltage measurements with a conventional electrostatic voltmeter (Trek Model 347). In order to secure the same measurement conditions, the relative humidity in the measurement area was set at 1.2% for both the EFM and the electrostatic voltmeter. The EFM included a shield 210 with a pin hole 212 having a diameter of 100 micrometers through which the probe 14 extended. At the location where the probe 14 extended through the hole 212, the probe's diameter was 50 m. The current flow to the laser diode was set at 7 mA.
[0087] Measurement of Latent Image on Photoreceptor.
[0088] We tried to measure a latent image on a photoreceptor SUT 40 using an EFD that is in keeping with our invention. For purposes of comparison, we used SUT's 40 having conventional organic photoreceptors with either high mobility or low mobility. A scorotron was used to apply charge on the SUT 40 photoreceptors. To the tungsten wire of the scorotron, we applied 4 kV, and 800 V to the grid. For the purpose of creating a latent image on the SUT 40 photoreceptors, a laser 22 having a beam diameter of 50 micrometers and a wavelength of 670 nm was employed. Upon creation of the latent image, a pulse generator was used to control the exposure time. Table 2 shows that the exposure energy density was controlled to be in the range of 1.7 to 28.5 mJ/m.sup.2.
TABLE-US-00002 TABLE 2 Exposed timeenergy density Exposure time Energy Energy density 30 3.4 1.7 50 5.6 2.9 100 11.2 5.7 300 33.6 17.1 500 56.0 28.5
The test results are shown in
[0089] We have obtained the latent image voltage in accordance with several different exposure energy density levels. These data are shown in
[0090] We measured the surface potential of an SUT 40 photoreceptor, as well as a latent image. Our EFD with a light shield 210 and measurement routine for the surface voltage measurement on an SUT 40 photoreceptor achieved superior results. Additionally, our data shows an ability to detect a latent image using our EFD in situations having different mobility, and we have confirmed that our EFD has the capability to characterize the photoreceptor's mobility difference.
[0091] Although the present invention has been described with respect to one or more particular embodiments, it will be understood that other embodiments of the present invention may be made without departing from the spirit and scope of the present invention. Hence, the present invention is deemed limited only by the appended claims and the reasonable interpretation thereof.