Warpage amount estimation device and warpage amount estimation method

By calculating the radial pixel value change rate on the substrate surface, the problem of device enlargement under large warpage was solved, and efficient and accurate warpage estimation was achieved.

CN116324332BActive Publication Date: 2026-07-14TOKYO ELECTRON LTD

Patent Information

Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
TOKYO ELECTRON LTD
Filing Date
2021-10-13
Publication Date
2026-07-14

AI Technical Summary

Technical Problem

When the substrate warpage is large, existing technologies require large-scale camera systems to calculate the warpage, which increases the size of the device and makes it impossible to effectively estimate the warpage.

Method used

A warpage estimation device is used to acquire a camera image of the substrate surface, calculate the rate of change of pixel values ​​in the radial direction of the substrate, and estimate the warpage using a pre-determined correlation, thus avoiding the need for large-scale devices.

Benefits of technology

Even when the substrate warpage is large, the warpage can be accurately estimated without the need for large-scale equipment, thus improving processing efficiency and space utilization.

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Abstract

A warpage amount estimation device that estimates a warpage amount of a substrate, the warpage amount estimation device including: an acquisition unit that acquires an imaging image of one surface of an estimation target substrate; a calculation unit that calculates a rate of change in pixel value with respect to a substrate radial direction in the imaging image of the one surface of the estimation target substrate; and an estimation unit that estimates the warpage amount of the estimation target substrate based on a correlation between the rate of change in pixel value with respect to the substrate radial direction in the imaging image of the one surface of the substrate and the warpage amount of the substrate, which is obtained in advance, and a calculation result of the calculation unit.
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Description

Technical Field

[0001] This disclosure relates to a warpage estimation device and a warpage estimation method. Background Technology

[0002] The wafer processing method disclosed in Patent Document 1 includes the following steps: using a camera to photograph the end face of a reference wafer with a known warpage across its entire periphery, thereby acquiring shape data of the end face of the reference wafer across its entire periphery; using a camera to photograph the end face of the wafer across its entire periphery, thereby acquiring shape data of the end face of the wafer across its entire periphery; and calculating the warpage of the wafer based on the shape data. Furthermore, the above processing method includes the following steps: forming a resist film on the surface of the wafer; determining the supply position of an organic solvent for the periphery of the resist film based on the warpage, and dissolving the periphery using the organic solvent supplied from the supply position to remove the periphery from the wafer.

[0003] Existing technical documents

[0004] Patent documents

[0005] Patent Document 1: Japanese Patent Application Publication No. 2017-150849 Summary of the Invention

[0006] The problem the invention aims to solve

[0007] The technology disclosed herein enables the estimation of substrate warpage even when the substrate warpage is large, without requiring the device to be scaled up.

[0008] Solution for solving the problem

[0009] One aspect of this disclosure is a warpage estimation apparatus for estimating the warpage of a substrate. The warpage estimation apparatus includes: an acquisition unit that acquires a photographic image of a surface of a substrate to be estimated; a calculation unit that calculates the rate of change of pixel values ​​in the photographic image of the surface of the substrate with respect to the radial direction of the substrate; and an estimation unit that estimates the warpage of the substrate based on a pre-determined correlation between the rate of change of pixel values ​​in the photographic image of the surface of the substrate with respect to the radial direction of the substrate and the warpage of the substrate, and the calculation result of the calculation unit.

[0010] The effects of the invention

[0011] According to this disclosure, even when the substrate warpage is large, the amount of substrate warpage can be estimated without increasing the size of the device. Attached Figure Description

[0012] Figure 1This is a top view showing an outline of the structure of a wafer processing system equipped with the warp estimation device according to this embodiment.

[0013] Figure 2 This is a schematic diagram showing the outline of the internal structure of the front side of the wafer processing system according to this embodiment.

[0014] Figure 3 This is a schematic diagram showing the outline of the internal structure of the back side of the wafer processing system according to this embodiment.

[0015] Figure 4 This is a cross-sectional view showing the general structure of the inspection device.

[0016] Figure 5 This is a longitudinal sectional view showing the outline of the structure of the inspection device.

[0017] Figure 6 It is a block diagram that schematically shows the outline of the structure of the control unit.

[0018] Figure 7 This is a diagram showing a wafer in a state without warping and a wafer in a state with warping.

[0019] Figure 8 This is an example of a photographic image showing the periphery of the back side of a wafer.

[0020] Figure 9 This is a flowchart illustrating an example of the processing flow in the control department.

[0021] Figure 10 This is a diagram illustrating an example of an abnormal part.

[0022] Figure 11 This is a diagram showing other examples of abnormal parts.

[0023] Figure 12 This is a diagram showing other examples of abnormal parts.

[0024] Figure 13 This is a diagram showing an example of a region about the circumference of a wafer, used for estimating the amount of warpage, in a photographic image of the periphery of the back side of the wafer.

[0025] Figure 14 This is a diagram showing another example of a region about the circumference of a wafer used for estimating warpage in a photographic image of the periphery of the back side of the wafer.

[0026] Figure 15 This is a diagram used to illustrate examples of pixel values ​​used in estimations of warp amount, etc.

[0027] Figure 16This is a graph showing the estimation results of the warp amount for each estimation method.

[0028] Figure 17 This is a cross-sectional view showing the general structure of the inspection device involved in other examples.

[0029] Figure 18 This is a longitudinal sectional view showing the outline of the structure of the inspection device involved in other examples.

[0030] Figure 19 This is an explanatory diagram illustrating the structure of a peripheral camera subunit.

[0031] Figure 20 This is a graph showing the results of confirming test 1.

[0032] Figure 21 This is a graph showing the results of confirming test 2.

[0033] Figure 22 This is a longitudinal sectional view showing the outline of the structure of the inspection device involved in other examples. Detailed Implementation

[0034] In the manufacturing process of semiconductor devices, a prescribed process is performed to form a resist pattern on a semiconductor wafer (hereinafter sometimes referred to as a "wafer"). This prescribed process includes, for example, resist coating, which involves supplying a resist solution to the wafer to form a resist film; exposure, which involves exposing the resist film to a prescribed pattern; PEB (photoresist coating) treatment, which involves heating after exposure to promote chemical reactions within the resist film; and development, which involves developing the exposed resist film. Additionally, during the formation of the resist pattern, an EBR (Edge Bead Removal) treatment is sometimes performed to remove the resist film from the periphery of the wafer.

[0035] Sometimes, wafer warping occurs before or after any of the aforementioned processes. The amount of wafer warping can be used to adjust processing conditions (e.g., EBR processing conditions), therefore, its measurement and estimation are in high demand.

[0036] Therefore, for example, as disclosed in Patent Document 1, a camera is used to photograph the end face of the wafer across the entire periphery, and the amount of wafer warpage is calculated based on the photographic results.

[0037] Furthermore, in fields such as 3D NAND semiconductor devices, multilayer films have been formed on wafers in recent years. Consequently, wafer warpage has increased to, for example, around 1 mm due to film stress and other factors. With such significant wafer warpage, the following situation arises: to calculate the wafer warpage based on the image captured by a camera of the wafer's peripheral edge, as disclosed in Patent Document 1, a moving mechanism is needed to move the camera system, including the camera, along the height direction. In this case, the device becomes larger, corresponding to the size of the space required to mount the moving mechanism. Alternatively, a method has been considered that expands the camera's field of view to capture images of the peripheral edge of a wafer with large warpage, without the aforementioned moving mechanism. However, expanding the field of view also requires space, leading to a larger device.

[0038] Therefore, the technology disclosed herein enables the estimation of substrate warpage even when the substrate warpage is large, without requiring the device to be enlarged.

[0039] The warpage estimation apparatus and warpage estimation method according to this embodiment will now be described with reference to the accompanying drawings. Furthermore, in this specification and the accompanying drawings, elements having substantially the same functional structure are labeled with the same reference numerals, thereby omitting repeated descriptions.

[0040] Figure 1 This is a top view showing an outline of the structure of a wafer processing system 1 equipped with the warp estimation device according to this embodiment. Figure 2 and Figure 3 These are schematic diagrams showing the outlines of the internal structures of the front and back sides of the wafer processing system 1. Furthermore, in this embodiment, the wafer processing system 1 will be described as an example of a coating and developing system for coating and developing wafer W.

[0041] Wafer processing system 1 Figure 1 As shown, the wafer processing system 1 has a cassette station 10 for loading and unloading multiple wafers W into and out of cassettes C, and a processing station 11 equipped with multiple processing devices for performing prescribed processing on the wafers W. Furthermore, the wafer processing system 1 has a structure in which the cassette station 10, the processing station 11, and an interface station 13 adjacent to the processing station 11 for transferring wafers W to and from the exposure apparatus 12 are connected as a single unit.

[0042] A cassette loading stage 20 is provided at the cassette station 10. A plurality of cassette loading boards 21 are provided on the cassette loading stage 20 for loading cassettes C when they are moved in and out of the wafer processing system 1.

[0043] The cassette station 10 is equipped with a wafer transport device 23 that moves freely on a transport path 22 extending in the X direction. The wafer transport device 23 is also free to move in the vertical direction and around the vertical axis (θ direction), thereby enabling the transport of wafers W between the cassette C on each cassette mounting plate 21 and the handover device of the third block G3 of the processing station 11 described later.

[0044] Processing station 11 is equipped with multiple, for example, four blocks G1, G2, G3, and G4, each equipped with various devices. For example, on the front side of processing station 11 ( Figure 1 The first G1 is located on the negative X-direction side of the processing station 11. Figure 1 A second G2 is installed on the positive X-direction side. Additionally, on the side of the processing station 11 adjacent to the box station 10 ( Figure 1 A third G3 is installed on the negative Y-direction side of the processing station 11, near the interface station 13. Figure 1 A fourth G4 is set on the positive Y-direction side.

[0045] In the first G1, such as Figure 2 As shown, multiple liquid processing devices are arranged sequentially from bottom to top, such as a developing device 30, a lower antireflective film forming device 31, a resist coating device 32, and an upper antireflective film forming device 33. The developing device 30 develops the wafer W, and the lower antireflective film forming device 31 forms an antireflective film (hereinafter referred to as the "lower antireflective film") on the lower layer of the resist film on the wafer W. The resist coating device 32 coats the wafer W with resist liquid to form a resist film, and the upper antireflective film forming device 33 forms an antireflective film (hereinafter referred to as the "upper antireflective film") on the upper layer of the resist film on the wafer W.

[0046] For example, the developing device 30, the lower antireflective film forming device 31, the resist coating device 32, and the upper antireflective film forming device 33 are each arranged in three units in a horizontal direction. Furthermore, the number and arrangement of these developing devices 30, lower antireflective film forming device 31, resist coating device 32, and upper antireflective film forming device 33 can be arbitrarily selected.

[0047] In these developing apparatus 30, lower antireflective film forming apparatus 31, resist coating apparatus 32, and upper antireflective film forming apparatus 33, spin coating of a specified coating solution is performed, for example, on a wafer W. In spin coating, for example, the coating solution is sprayed from a coating nozzle onto the wafer W, and the wafer W is rotated to spread the coating solution on the surface of the wafer W.

[0048] Furthermore, in this embodiment, the resist coating apparatus 32 is configured to also perform EBR processing, which removes the resist film from the periphery of the wafer W in a ring shape.

[0049] In the second G2, such Figure 3 As shown, the device includes a heat treatment apparatus 40 for heating and cooling the wafer W, an adhesion apparatus 41 for improving the fixing properties between the resist solution and the wafer W, and a peripheral exposure apparatus 42 for exposing the outer periphery of the wafer W. These heat treatment apparatus 40, adhesion apparatus 41, and peripheral exposure apparatus 42 are arranged in a vertical and horizontal configuration, and their number and arrangement can be arbitrarily selected.

[0050] For example, in the third board G3, multiple handover devices 50, 51, 52, 53, 54, and 55, as well as an inspection device 56 serving as a substrate inspection device, are arranged sequentially from bottom to top. The structure of the inspection device 56 will be described later. Additionally, in the fourth board G4, multiple handover devices 60, 61, and 62 are arranged sequentially from bottom to top.

[0051] like Figure 1 As shown, a wafer transport region D is formed in the area surrounded by the first G1 to the fourth G4. A wafer transport device 70 is disposed in the wafer transport region D.

[0052] The wafer transport device 70 has a transport arm 70a that can move freely, for example, along the Y, X, θ directions and the vertical direction. The wafer transport device 70 moves within the wafer transport area D and can transport wafers W to designated cells within the surrounding first G1, second G2, third G3, and fourth G4 blocks. The wafer transport device 70, for example... Figure 3 As shown, multiple units are configured on the upper and lower levels, for example, capable of transporting wafers W to specified cells of the same height as each of blocks G1 to G4.

[0053] In addition, a shuttle conveyor 80 is provided in the wafer conveying area D to linearly convey wafers W between the third G3 and the fourth G4.

[0054] Shuttle conveyor 80, for example, along Figure 3 The shuttle conveyor 80 moves freely in the Y direction while supporting the wafer W, and can transport the wafer W between the transfer device 52 of the third G3 and the transfer device 62 of the fourth G4.

[0055] like Figure 1 As shown, a wafer transport device 90 is provided near the positive X-direction side of the third G3. The wafer transport device 90 has a transport arm 90a that can move freely along, for example, the X-direction, the θ-direction, and the vertical direction. The wafer transport device 90 moves vertically while supporting the wafer W, and can transport the wafer W to each transfer device within the third G3.

[0056] Interface station 13 is equipped with a wafer transport device 100 and a transfer device 101. The wafer transport device 100 has a transport arm 100a that can move freely in, for example, the Y direction, the θ direction, and the up and down direction. The wafer transport device 100 supports the wafer W on the transport arm 100a, for example, and can transport the wafer W between the transfer devices, the transfer device 101, and the exposure device 12 within the fourth block G4.

[0057] Next, the structure of the inspection device 56 described above will be explained. Figure 4 and Figure 5 These are cross-sectional and longitudinal cross-sectional views showing the general structure of the inspection device 56.

[0058] Inspection device 56 Figure 4 As shown, the device has a housing 150. A loading / unloading outlet 150a is formed on one side wall of the housing 150 for loading and unloading wafers W relative to the housing 150.

[0059] Additionally, within the housing 150, such as Figure 5 As shown, a wafer holding disk (chuck) 151 is provided as a substrate support. The wafer holding disk 151 is used to hold the wafer W. The wafer W is supported on the wafer holding disk 151 such that its peripheral portion extends out of the wafer holding disk 151.

[0060] A side extending from one end of the housing 150 is provided on the bottom surface of the housing 150. Figure 4 The X-direction positive direction side extends to the other end side ( Figure 4 The guide rail 152 (on the negative X-direction side) is provided on the guide rail 152. A drive unit 153 is provided on the guide rail 152 to rotate the wafer holding disk 151 and move freely along the guide rail 152. With this structure, the wafer W held on the wafer holding disk 151 can move between a first position near the loading / unloading outlet 150a and a second position near the back-side camera subunit 170, which will be described later.

[0061] Furthermore, a surface camera subunit 160 and a rear camera subunit 170 are provided inside the housing 150.

[0062] The surface imaging subunit 160 includes a camera 161 and an illumination module 162.

[0063] Camera 161 is disposed on the other end side of the housing 150 as described above. Figure 4 Above the negative X-direction side, the camera 161 has a lens (not shown) and imaging elements (not shown) such as a CMOS image sensor.

[0064] An illumination module 162 is disposed in the upper center of the housing 150. The illumination module 162 includes a semi-reflective mirror 163 and a light source 164. The semi-reflective mirror 163 is positioned opposite the camera 161 with its surface tilted upwards at a 45-degree angle from its vertically downward orientation towards the camera 161. The light source 164 is positioned above the semi-reflective mirror 163. Illumination from the light source 164 is directed downwards after passing through the semi-reflective mirror 163. Furthermore, light passing through the semi-reflective mirror 163 is reflected by an object below it and further reflected by the mirror before being captured by the camera 161. That is, the camera 161 can capture images of objects within the illumination area of ​​the light source 164. Therefore, when the wafer holding disk 151 holding the wafer W moves along the guide rail 152, the camera 161 can capture images of the surface of the wafer W passing through the illumination area of ​​the light source 164. Furthermore, the data of the images captured by the camera 161 is input to the control unit 200, which will be described later.

[0065] Rear camera subunit 170 Figure 5 As shown, it has a camera 171 and a lighting module 172.

[0066] Camera 171 is disposed on the other end side of the housing 150 as described above. Figure 5 Below the negative X-direction side, the camera 171 has a lens (not shown) and imaging elements (not shown) such as a CMOS image sensor.

[0067] The illumination module 172 is positioned below the periphery of the wafer W held on the wafer holding disk 151, illuminating the periphery of the back side of the wafer W extending from the wafer holding disk 151. The illumination module 172 includes, for example, a semi-reflective mirror (not shown) and a light source (not shown). The semi-reflective mirror is positioned opposite the camera 171 with its surface tilted downwards at a 45-degree angle from its vertically upward orientation. The light source is positioned below the semi-reflective mirror. Illumination from the light source is directed upwards through the semi-reflective mirror. Furthermore, light passing through the semi-reflective mirror is reflected by an object above it and further reflected by the mirror before being captured by the camera 171. In other words, the camera 171 can capture images of objects within the illumination area of ​​the light source of the illumination module 172. Therefore, when the wafer W held on the wafer holding disk 151 is in the second position, the camera 171 can capture images of the back side of the wafer W, specifically the periphery of the back side of the wafer W. Furthermore, the image data captured by the camera 171 is input to the control unit 200, which will be described later.

[0068] In the inspection apparatus 56 configured as described above, when the wafer W is in the second position, the rear-side camera subunit 170, which serves as the camera unit, takes an image synchronously with the rotation of the wafer holding disk 151 holding the wafer W. Thus, an image obtained by scanning substantially circumferentially about the entire periphery of the back side of the wafer W is obtained.

[0069] In the wafer processing system 1 described above, such as Figure 1 As shown, a control unit 200 is provided. The control unit 200 is, for example, a computer equipped with a CPU, memory, etc., and has a program storage unit (not shown). The program storage unit stores a program for controlling the processing of wafer W in the wafer processing system 1, including the following programs: a program for controlling the inspection of wafer W based on a wafer image that is a substrate image captured by the inspection device 56, and a program for estimating the warpage of wafer W based on the wafer image captured by the inspection device 56. Furthermore, the above programs can also be recorded on a computer-readable storage medium H and installed from this storage medium H onto the control unit 200. The storage medium H can be transient or non-transient. Additionally, part or all of the program can be implemented using dedicated hardware (circuit board).

[0070] Next, the processing of wafer W performed using the wafer processing system 1 configured as described above will be explained.

[0071] First, a cassette C containing multiple wafers W is placed on a designated mounting plate 21 of the cassette station 10. Then, the wafer transfer device 23 sequentially removes each wafer W from the cassette C and transfers it to, for example, a transfer device 52 of the third G3 in the processing station 11.

[0072] Next, the wafer transport device 70 transports the wafer W to the heat treatment apparatus 40 of the second G2 for temperature conditioning. Then, the wafer transport device 70 transports the wafer W to, for example, the lower anti-reflective coating forming apparatus 31 of the first G1, to form a lower anti-reflective coating on the wafer W. Afterwards, the wafer W is transported to the transfer device 53 of the third G1, and then by the wafer transport device 90 to the inspection device 56. The wafer W is then placed into the inspection device 56, for example, with a predetermined orientation.

[0073] In the inspection apparatus 56, the surface imaging subunit 160 captures images synchronously with the movement of the wafer holding disk 151 holding the wafer W along the guide rail 152. Furthermore, in the inspection apparatus 56, after the wafer W is moved to the aforementioned second position, the back-side imaging subunit 170 captures images synchronously with the rotation of the wafer holding disk 151 holding the wafer W. The imaging results from the surface imaging subunit 160 are input to the control unit 200, acquiring an image of the surface of the wafer W. Furthermore, the control unit 200 performs defect inspection on the surface of the wafer W based on the image of the surface of the wafer W. Additionally, the imaging results from the back-side imaging subunit 170 are input to the control unit 200, acquiring an image of the back side of the wafer W as described later. Furthermore, the control unit 200 estimates the warpage of the wafer W and performs defect inspection on the back side of the wafer W based on the image of the back side of the wafer W. Defect inspection of the surface and back side of wafer W based on photographic images of wafer W can be performed using known methods. Furthermore, a method for estimating the warpage of wafer W based on photographic images of the back side of wafer W will be described later.

[0074] Next, wafer W is transferred to transfer unit 54. Then, wafer transfer unit 70 transfers wafer W to the first G1 resist coating unit 32. In resist coating unit 32, a resist film is formed on wafer W, and wafer W undergoes EBR processing. The EBR processing conditions are determined, for example, based on an estimate of the warpage of wafer W.

[0075] Next, wafer W is transferred to the upper anti-reflective film forming apparatus 33 of the first G1 wafer, where an upper anti-reflective film is formed on wafer W. Then, wafer W is transferred by wafer transfer device 70 to transfer device 52, and then by shuttle transfer device 80 to transfer device 62 of the fourth G4 wafer. Next, wafer W is transferred by wafer transfer device 100 of interface station 13 to exposure device 12, where wafer W is exposed to a predetermined pattern. Next, wafer transfer device 100 transfers wafer W to transfer device 60 of the fourth G4 wafer. Then, wafer transfer device 70 transfers wafer W to heat treatment device 40 for post-exposure baking. Finally, wafer transfer device 70 transfers wafer W to developing device 30 for developing.

[0076] After development, wafer W is transferred to heat treatment apparatus 40 for post-baking. Next, wafer transfer device 70 transfers wafer W to the transfer device 50 of the third G3. Then, wafer transfer device 23 of cassette station 10 transfers wafer W to cassette C of the designated cassette mounting plate 21, completing a series of photolithography processes. Furthermore, this series of photolithography processes is also performed on subsequent wafers W within the same cassette C.

[0077] Next, the structure of the control unit 200 involved in the estimation and processing of wafer warpage will be explained. Figure 6 This is a block diagram that schematically shows the outline of the structure of the control unit 200.

[0078] Control unit 200 Figure 6 As shown, it has a storage unit 210, an acquisition unit 220, a calculation unit 230, and an estimation unit 240.

[0079] Storage unit 210 is used to store various types of information. Storage unit 210 stores information such as the correlation between the rate of change of pixel values ​​in the radial direction of the wafer and the warpage of the wafer W in the photographed image of the peripheral portion of the back side of the wafer W, which will be described later.

[0080] The acquisition unit 220 acquires an image of the back side of the wafer W based on the image captured by the back-side camera subunit 170. Specifically, the acquisition unit 220 performs the necessary image processing on the image captured by the back-side camera subunit 170, thereby obtaining an image of the peripheral portion of the back side of the wafer W obtained by scanning the entire surface of the peripheral portion circumferentially.

[0081] Here, in such Figure 7 As shown in (A), considering the case where wafer W does not warp, the following is obtained: Figure 8 The state of the photographic image Im on the back side of wafer W, as shown in (A). That is, considering the photographic image Im as the back side of wafer W, we obtain information about the wafer's radial direction ( Figure 8 The state of an image with uniform pixel values ​​in the vertical direction.

[0082] In this state, as Figure 7 In the case of (B) where wafer W experiences convex warping (warping where the central portion protrudes towards the wafer surface), such as Figure 8 As shown in (B), in the photographed image Im on the back side of wafer W, the pixel value increases as it moves toward the radial center of the wafer. Figure 8 The rate of change of pixel values ​​with respect to the wafer radial direction in the image Im on the back side of wafer W becomes smaller. This is because the center of the wafer is farther from the light source, i.e., the illumination module 172, compared to the periphery. Furthermore, as the warpage increases, the absolute value of the aforementioned rate of change of pixel values ​​with respect to the wafer radial direction increases.

[0083] Similarly, in the above-described state, in such a situation... Figure 7 In the case of (C) where wafer W experiences concave warping (warping where the central portion protrudes towards the back side of the wafer), such as Figure 8 As shown in (C), in the photographed image Im on the back side of wafer W, the pixel value increases as it moves toward the radial center of the wafer. Figure 8The rate of change of pixel values ​​with respect to the wafer radial direction in the image Im on the back side of wafer W is positive. This is because the central part of the wafer is closer to the light source, i.e., the illumination module 172, than the periphery of the wafer. Moreover, as the concave warpage increases, the absolute value of the aforementioned rate of change of pixel values ​​with respect to the wafer radial direction increases.

[0084] It is believed that there is a correlation between the rate of change of pixel values ​​with respect to the wafer radial direction in the back-side image Im of wafer W and the amount of warpage of wafer W. Therefore, it is believed that when this correlation is known in advance, the amount of warpage of wafer W can be estimated based on the rate of change of pixel values ​​with respect to the wafer radial direction in the back-side image of wafer W, which is the object of warpage estimation, and the aforementioned correlation.

[0085] Therefore, the calculation unit 230 calculates the rate of change of pixel values ​​with respect to the radial direction (hereinafter, sometimes abbreviated as "estimated wafer W") in the photographic image of the back side of the wafer W (hereinafter, sometimes abbreviated as "radial direction"), which is the object of warpage estimation. Specifically, the calculation unit 230 calculates the rate of change of pixel values ​​with respect to the radial direction in the photographic image of the peripheral portion of the back side of the estimated wafer W acquired by the acquisition unit 220.

[0086] Furthermore, the estimation unit 240 estimates the warpage of the target wafer W based on the correlation between the rate of change of pixel values ​​in the back-side image of the wafer W and the warpage of the wafer W, which was calculated in advance, and the calculation results of the calculation unit 230.

[0087] Next, the processing performed by the control unit 200, including the estimation of the warpage of the wafer W, will be explained. Figure 9 This is a flowchart illustrating an example of the processing flow performed by the control unit 200.

[0088] (1. Obtain calibration information)

[0089] For example, such as Figure 8As shown, before estimating the warpage of wafer W, the control unit 200 acquires information (hereinafter, sometimes referred to as "calibration information") required to capture an image of the peripheral portion of the back side of the calibration wafer W (step S1). The calibration is performed such that when the calibration is performed on an image of the peripheral portion of the back side of a calibration wafer W without warpage, the pixel values ​​in the calibrated image are fixed radially. This acquisition of calibration information is performed, for example, during startup or maintenance of the wafer processing system 1. Furthermore, in this process, for example, a bare wafer confirmed to be warpage-free by an external device (not shown) is used as the calibration wafer W. First, the calibration wafer W is transported to the inspection device 56, and the peripheral portion of the back side of the calibration wafer W is captured using the back-side camera subunit 170. Then, the acquisition unit 220 acquires an image of the peripheral portion of the back side of the calibration wafer W based on the imaging results of the back-side camera subunit 170, and the control unit 200 acquires the aforementioned calibration information based on this image.

[0090] (2. Obtain a camera image of the back side of the estimated target wafer W)

[0091] When estimating the warpage of wafer W, firstly, the acquisition unit 220 acquires an image of the peripheral portion of the back side of the target wafer W based on the imaging results captured by the back-side imaging subunit 170 in the inspection device 56 (step S2). In this embodiment, the image of the peripheral portion of the back side of wafer W is an image obtained by scanning the peripheral portion of the back side of wafer W from a predetermined portion (e.g., a notch). However, in cases where a wafer W rotation mechanism is not provided, it may also be an image of a line from the predetermined portion of the peripheral portion of the back side of wafer W. Furthermore, the acquisition unit 220 calibrates the acquired image of the peripheral portion of the back side of the target wafer W based on the calibration information described above. Furthermore, unless otherwise specified, "the photographic image of the back side of the estimated object wafer W" refers to "the calibrated photographic image of the back side of the estimated object wafer W", and "the photographic image of the peripheral portion of the back side of the estimated object wafer W" refers to "the calibrated photographic image of the peripheral portion of the back side of the estimated object wafer W".

[0092] (3. Remove outliers and select the calculation area)

[0093] Next, the calculation unit 230 removes the portion showing pixel values ​​that do not depend on the warp amount, i.e., abnormal portions, from the photographed image of the peripheral portion of the back side of the calibrated estimated target wafer W, and selects the region about the wafer circumference for the calculation of the warp amount in the photographed image (step S3).

[0094] The abnormal parts are, for example, predetermined; specifically, such as... Figure 10As shown, portion P3 in the photographic image It of the periphery of the back side of the target wafer W corresponds to a region within a predetermined distance from the outer periphery of the wafer W. This portion P3 includes portion P1 corresponding to protective film, deposition marks, etc., and portion P2 corresponding to notches. Alternatively, the region corresponding to the contact area of ​​the conveyor arm 70a can be designated as an abnormal region. If an abnormal region is predetermined, information about the abnormal region is stored in the storage unit 210.

[0095] Alternatively, the calculation unit 230 can be configured to determine abnormal regions based on a photographic image of the periphery of the back side of the target wafer W. For example, such as... Figure 11 As shown, the image It of the periphery of the back side of the target wafer W can be segmented into a "rising bean" shape, and the portion P4 with an average pixel value exceeding the threshold and differing from the surrounding area is designated as an abnormal portion. Additionally, as... Figure 12 As shown, the portion P5 that is a defect detected in the defect inspection of the camera image It based on the periphery of the back side of the estimated object can also be set as the abnormal portion.

[0096] The region about the wafer's circumference used for calculating warpage (hereinafter, sometimes referred to as the "circumferential region"), for example... Figure 13 The image shown is a linear region R1 corresponding to a pre-specified angle in the photographic image It of the periphery of the back side of the target wafer W. Additionally, the circumferential region used for calculating the warpage is as follows: Figure 14 As shown, it can also be equivalent to multiple linear regions R2 at multiple pre-specified angles.

[0097] Furthermore, in subsequent processing, the pixel values ​​within the linear region R1 in the photographic image It of the periphery of the back side of the target wafer W are used. For example, the pixel values ​​within the linear region R1 are... Figure 15 As shown, the pixel value can be averaged along the circumferential direction of the wafer within a strip region R3 that includes a linear region R1 and is wider than the linear region R1 in the circumferential direction of the wafer.

[0098] (4. Exclude outliers)

[0099] Next, the calculation unit 230 excludes outliers from the pixel values ​​contained in the image of the peripheral area of ​​the back side of the target wafer W (step S4). Specifically, the calculation unit 230 excludes outliers from the pixel values ​​within the linear region R1 selected in step S3 in the image of the peripheral area of ​​the back side of the target wafer W after the aforementioned outliers have been removed. Outliers are, for example, values ​​whose absolute value of the difference from the average pixel value within the linear region R1 exceeds a threshold (e.g., 3σ (σ is the standard deviation of the pixel value)).

[0100] (5. Calculate the rate of change of pixel values ​​with respect to the wafer radial direction)

[0101] Next, the calculation unit 230 calculates the rate of change of pixel values ​​with respect to the radial direction in the photographed image of the peripheral area of ​​the back side of the target wafer W (step S5). Specifically, it calculates the rate of change (e.g., average rate of change) of pixel values ​​with respect to the radial direction in the photographed image of the peripheral area of ​​the back side of the target wafer W after removing abnormal portions. Pixel values ​​excluded in step S4 are not considered during this calculation.

[0102] (6. Estimate the amount of warpage)

[0103] Then, the estimation unit 240 estimates the warpage of the target wafer W based on a pre-determined calibration line that represents the correlation between the rate of change of pixel values ​​with respect to the wafer radial direction in the photographic image of the back side of the wafer W and the amount of warpage of the wafer W, and the rate of change of pixel values ​​with respect to the radial direction calculated in the calculation process described above (step S6).

[0104] The aforementioned calibration curve can be expressed, for example, by the following equation (1).

[0105] T = a·x + b…(1)

[0106] T: Estimated value of the warpage of the target wafer W

[0107] x: Estimated rate of change of pixel values ​​with respect to the radial direction in the photographic image of the periphery of the back side of the target wafer W.

[0108] a, b: constants

[0109] Alternatively, the calibration curves can be configured to use different calibration curves depending on the diameter of the wafer holding disk 151.

[0110] Alternatively, steps S1 to S6 can be performed for each of the multiple colors, such as R (Red), G (Green), B (Blue), and gray. In this case, for example, the average of the estimated warpage values ​​of the target wafer W obtained for each of the multiple colors can be used as the estimated warpage of the target wafer W.

[0111] Alternatively, steps S1 to S6 can be performed only for a specific color among multiple colors (hereinafter referred to as the "estimated object color"). The estimated object color is predetermined. For example, multiple estimates can be performed in advance for each of the multiple colors, similar to the above, based on a photographic image of the back side of a reference wafer W with known warp amount, and the color for which an estimated value close to the actual warp amount is obtained can be set as the estimated object color.

[0112] Alternatively, in this case, it can be configured such that the estimated warpage amount, based on the photographic image of the back side of the reference wafer W with known warpage amount and the color of the object being estimated, and the actual warpage amount, is predetermined with respect to correction information (e.g., a correction formula). Furthermore, it can be configured such that the estimated value of the warpage amount of the object wafer W is corrected based on this correction information. Specifically, based on the estimated warpage amount, based on the photographic image of the back side of the reference wafer W with known warpage amount and the color of the object being estimated, and the actual warpage amount, a correction formula expressed by the following equation (2) is predetermined, for example.

[0113] Ta=c·T+d…(2)

[0114] T: Estimated value of the warpage of the target wafer W

[0115] Ta: Estimated value of warpage of the target wafer W after correction.

[0116] c, d: constants

[0117] Moreover, it can also be set up to correct the estimated value of the warpage of the target wafer W based on the correction formula of equation (2).

[0118] Alternatively, the method for determining the color of the object can be as follows. In this method, for example, not only the back-facing camera subunit 170 is used, but also the peripheral camera subunit that captures the peripheral end face of the wafer W is used. Furthermore, in this method, the following (X) and (Y) directions are performed at each of the multiple different circumferential positions of the common reference wafer W.

[0119] (X) An estimate of the warpage of wafer W based on a photographic image of the back side of the aforementioned reference wafer W for each of the multiple colors.

[0120] (Y) Estimation of the warpage of the aforementioned reference wafer W based on the photographic image of the peripheral end face of the wafer W.

[0121] Therefore, the trend of the warpage estimate of the aforementioned reference wafer with respect to the wafer circumference is understood in two cases: estimation based on the back side image and estimation based on the peripheral end face image. In the former case, the aforementioned trend is understood for each of the various colors. Let the color to be estimated be the color whose aforementioned trend in the warpage estimate based on the back side image is close to the aforementioned trend in the warpage estimate based on the peripheral end face image. Specifically, in Figure 16 In the example, among the warpage estimates based on the backside image for each color (R, G, B, and gray), the warpage estimate for B shows a trend similar to that of the warpage estimate based on the periphery image. In this case, the estimated object color is set to B.

[0122] The aforementioned peripheral camera subunit can be housed in the same inspection apparatus, i.e., the same housing, as the rear camera subunit 170, or it can be housed in a different inspection apparatus. In the case of being housed in a different inspection apparatus, this different inspection apparatus can also be located in a semiconductor manufacturing apparatus different from the wafer processing system.

[0123] Figure 17 and Figure 18 These are cross-sectional and longitudinal sectional views showing the general structure of an inspection device in which the rear camera subunit and the peripheral camera subunit are housed in the same housing. Figure 19 This is a diagram showing an example of the structure of a peripheral camera subunit.

[0124] Figure 17 and Figure 18 The inspection device 56a has a rear camera subunit 170 and a peripheral camera subunit 180 inside the housing 150.

[0125] Peripheral camera sub-unit 180 Figures 17-19 As shown, it includes a camera 181, an illumination module 182, and a mirror component 183.

[0126] The camera 181 has imaging elements (not shown) such as a lens (not shown) and a CMOS image sensor.

[0127] like Figure 19 As shown, the illumination module 182 is positioned above the wafer W held on the wafer holding disk 151, and includes a light source (not shown) and a transflective mirror 184. The light source is positioned above the transflective mirror 184. The transflective mirror 184 is positioned opposite the camera 181 with its mirror surface tilted upwards at a 45-degree angle from its vertically downward orientation towards the camera 181.

[0128] The mirror component 183 is disposed below the illumination module 182. When the wafer W held on the wafer holding disk 151 is in the second position, the reflective surface 185 of the mirror component 183 faces the peripheral end face (i.e., side end face) Wc of the wafer W held on the wafer holding disk 151.

[0129] In the illumination module 182, light emitted from the light source shines downwards after passing through the semi-transparent mirror 184. When the wafer W held on the wafer holding disk 151 is in the second position, the diffused light passing through the semi-transparent mirror 184 is reflected at the peripheral region Wd of the surface Wa of the wafer W located below the semi-transparent mirror 184 or at the reflecting surface 185 of the mirror member 183. Furthermore, the reflected light reflected at the reflecting surface 185 mainly illuminates the peripheral end face Wc of the wafer W.

[0130] The reflected light from the peripheral end face Wc of wafer W is reflected sequentially at the reflecting surface 185 of mirror component 183 and the semi-transparent mirror 184 of illumination module 182, and then incident on camera 181 (see reference). Figure 19 (The arrow). Thus, camera 181 is able to capture images of the peripheral end face Wc of wafer W. The image data captured by camera 181 is input to control unit 200.

[0131] In the control unit 200, for example, in addition to estimating the warpage of wafer W based on a photographic image of the back surface Wb of the target wafer W, the control unit 200 also estimates the warpage of wafer W based on a photographic image of the peripheral end face Wc of the target wafer W, as follows: The control unit 200 acquires shape data of the peripheral end face Wc of the reference wafer W from the photographic image of the peripheral end face Wc of the reference wafer W, and acquires shape data of the peripheral end face Wc of the target wafer W from the photographic image of the peripheral end face Wc of the target wafer W. Furthermore, the control unit 200 calculates (estimates) the warpage of the target wafer based on the shape data of the peripheral end face Wc of the reference wafer W and the shape data of the peripheral end face Wc of the target wafer W.

[0132] When using the inspection device 56a described above, the following (A) and (B) can be performed at each of the multiple different circumferential positions of the wafer W to be estimated.

[0133] (A) Estimation of the warpage of the object wafer W based on a photographic image of the back side of the object wafer W for each of multiple colors.

[0134] (B) Estimation of the warpage of the target wafer W based on a photographic image of the peripheral end face of the target wafer W

[0135] Therefore, the trend of the estimated warpage amount of the target wafer W with respect to the wafer circumference is understood in both the case of estimation based on the back image and the case of estimation based on the peripheral end face image. In the case of the former, the aforementioned trend is understood for each of the multiple colors. For example, the control unit 200 selects the warpage estimate of the color with a trend close to that of the warpage estimate based on the back image for each of the multiple colors as the optimal estimate and outputs the optimal estimate. Specifically, in Figure 16 In the example, among the warpage estimates based on the backside image for each color (R, G, B, and gray), the warpage estimate for B shows a trend similar to that of the warpage estimate based on the periphery image. In this case, the control unit 200 selects and outputs the warpage estimate based on the backside image for B.

[0136] Furthermore, after performing both (A) and (B) above, if the estimation of either method fails, the result of the other method is selected, thus ensuring that an estimation result is always calculated. This is because it is assumed that, in the case of large warpage, in (B) above, the wafer is located outside the image area and estimation cannot be performed.

[0137] Furthermore, the estimated object color and the correction information mentioned above can be predetermined for each type of film formed on the surface of the estimated object wafer W and for each device used in the processing of the estimated object wafer W. Moreover, it can be configured that when estimating the warpage, the estimated object color and correction information corresponding to the aforementioned film type and device are used. Furthermore, when multiple films are stacked on the surface of the estimated object wafer W, "each type of film" refers, for example, "each type of the outermost film," "each combination of films," etc. Additionally, when multiple devices are used in the processing of the estimated object wafer, "each device" refers, for example, "each device used in the film formation process immediately preceding the backside image," "each combination of devices," etc.

[0138] As described above, in this embodiment, the warpage of the target wafer W is estimated based on a pre-determined correlation between the radial variation rate of pixel values ​​in the back-side image of wafer W and the warpage of wafer W, and the radial variation rate of pixel values ​​in the back-side image of the target wafer W. This estimation method can perform estimation regardless of the size of the warpage. Furthermore, in this estimation method, even when the warpage is large, for example, 1 mm or more, a mechanism for moving the back-side camera subunit 170 in accordance with the warpage amount is not required. Therefore, according to this embodiment, even when the warpage of wafer W is large, the warpage of the wafer can be estimated without increasing the size of the device.

[0139] When estimating the warpage of wafer W, as previously mentioned, abnormal portions can be removed from the image taken from the back side of wafer W. By removing abnormal portions in this way, the warpage of wafer W can be estimated more accurately.

[0140] Furthermore, as mentioned earlier, the circumferential region of the wafer used for calculating the warpage in the back-side image of wafer W can be one or multiple. When there is only one region, the warpage estimation of wafer W can be performed at high speed. When there are multiple regions, the overall shape of the wafer can be determined; for example, it is possible to determine warpage that results in a saddle-shaped warpage. Additionally, when there are multiple regions, the average of the estimated warpage amounts can be used as the estimated warpage amount of the target wafer W.

[0141] Furthermore, as mentioned above, the color of the object to be estimated can be predetermined for each type of film formed on the surface of the wafer W to be estimated, and for each device used in the processing of the wafer W to be estimated. When estimating the warpage, the color of the object to be estimated, corresponding to the type of film and the device, is used. Thus, regardless of the type of film or the device, the warpage of the wafer W can be accurately estimated.

[0142] Furthermore, as mentioned above, the aforementioned correction information can be predetermined for each type of film formed on the surface of the wafer W to be estimated, and for each device used in the processing of the wafer W to be estimated. When estimating the warpage, the correction information corresponding to the type of film and the device can be used. Thus, regardless of the type of film or the device, the warpage of the wafer W can be estimated more accurately.

[0143] Additionally, as mentioned above, a correlation formula corresponding to the diameter of the wafer holding disk 151 can also be used. Thus, regardless of the diameter of the wafer holding disk 151, the warpage of the wafer W can be accurately estimated. Alternatively, after estimating using a common correlation formula regardless of the diameter of the wafer holding disk 151, correction can be performed using the same correction formula (2) pre-determined for each diameter of the wafer holding disk 151.

[0144] Alternatively, the warpage can be estimated in the same way as described above, using a camera image of the surface instead of a camera image of the back side.

[0145] (Confirmation Test 1)

[0146] In verification test 1, bare wafers without warpage, wafers with a warpage of -1000 μm, -750 μm, 750 μm, and 1000 μm were prepared, and photographic images of the peripheral back side of each wafer were acquired (specifically, photographic images of the peripheral back side after the aforementioned calibration). Furthermore, the rate of change of pixel values ​​(R) with respect to the wafer's radial direction in the photographic images of the peripheral back side of each wafer was calculated. Additionally, wafers showing negative warpage values ​​are convex warped wafers.

[0147] Figure 20 This is a graph showing the relationship between the warpage of wafer W and the rate of change of pixel values ​​of R in the radial direction of the wafer in a photographic image of the periphery of the back side of wafer W. Figure 20 In the diagram, the horizontal axis represents the warping amount, and the vertical axis represents the aforementioned rate of change.

[0148] As shown in the figure, in verification test 1, the aforementioned rate of change tends to increase as the warpage increases. Therefore, if a calibration curve representing the correlation between the warpage of wafer W and the aforementioned rate of change is created based on the results of verification test 1, the warpage of the target wafer W can be estimated based on this calibration curve and the aforementioned rate of change with respect to the target wafer W.

[0149] (Confirmation Test 2)

[0150] In confirmation experiment 2, bare wafers without warpage, wafers with a warpage of -1000 μm, and wafers with a warpage of 1000 μm were prepared, along with four wafer holding disks 151 (holding disks A to D) of different diameters. Furthermore, the diameters of the holding disks were arranged in the order of holding disk A < holding disk B < holding disk C < holding disk D. Moreover, for each wafer holding disk 151, a photographic image of the peripheral portion of the back side of each wafer was acquired, and the rate of change of the pixel value R with respect to the wafer radial direction in the photographic image of the peripheral portion of the back side was calculated.

[0151] Figure 21 The figure shows the results of confirming test 2, illustrating the relationship between the warpage of wafer W and the rate of change of pixel values ​​of R with respect to the wafer radial direction in the photographic image of the periphery of the back side of wafer W for each holding disk diameter. In the figure, the horizontal axis represents the warpage, and the vertical axis represents the aforementioned rate of change.

[0152] As shown in the figure, in confirmatory test 2, regardless of the retaining disc diameter, the aforementioned rate of change tended to increase as the warpage increased. However, the correlation differed for each retaining disc diameter; specifically, the smaller the retaining disc diameter, the greater the change in the aforementioned rate of change relative to the warpage.

[0153] Based on these results, the following can be determined: First, by pre-obtaining correlations separately for each holding pad diameter, the warpage of wafer W is estimated based on the correlation corresponding to the diameter of the holding pad 151 holding the wafer W being estimated, ensuring accurate estimation regardless of the holding pad diameter. Second, by estimating the warpage of wafer W using a common correlation regardless of the diameter of the holding pad 151, and then correcting it using a correction formula pre-derived for each diameter of the holding pad 151, accurate estimation is also possible regardless of the holding pad diameter.

[0154] Figure 22 This is a longitudinal sectional view showing the outline of the inspection apparatus involved in other examples.

[0155] In the example above, the warpage of the target wafer W was estimated based on a camera image of the back side of the target wafer W. Alternatively, the warpage of the target wafer W could be estimated based on a camera image of the surface of the target wafer W.

[0156] In this case, for example, such as Figure 22 As shown, in the inspection device 56b, a surface camera subunit 190 is provided inside the housing 150 to replace the rear camera subunit 170 (see reference). Figure 4 The surface imaging subunit 190 captures images of the surface of the wafer, specifically the periphery of the surface of wafer W. The surface imaging subunit 190 includes a camera 191 and an illumination module 192.

[0157] The illumination module 192 is positioned near and above the periphery of the wafer W, which is held on the wafer holding disk 151. The camera 191 is positioned within the housing 150 at approximately the same height as the illumination module 162. The placement of the camera 191 and the illumination module 192 within the housing, as well as the object being imaged, differ from those of the camera 171 and the illumination module 172 within the housing of the rear camera subunit 170, but their functions and operations are the same.

[0158] Furthermore, regarding the estimation of the warpage of the target wafer W based on the photographic image of the surface of the target wafer W, although the photographic image used for estimation is different from the photographic image used for estimation of the warpage of the target wafer W based on the photographic image of the back side of the target wafer W, the actions required to acquire the photographic image and the computational processing for calculating the warpage based on the photographic image are the same.

[0159] Furthermore, when estimating the warpage of the target wafer W based on the photographic image of the surface of the target wafer W, the surface imaging subunit 190 may be omitted, and the photographic image of the surface of the wafer W captured by the surface imaging subunit 160 may be used instead.

[0160] It should be considered that all points in the embodiments disclosed herein are illustrative rather than restrictive. The above embodiments may be omitted, substituted, or modified in various ways without departing from the appended claims and their spirit.

[0161] Explanation of reference numerals in the attached figures

[0162] 56: Inspection device; 220: Acquisition unit; 230: Calculation unit; 240: Estimation unit.

Claims

1. A warpage estimation device for estimating the warpage of a substrate, the warpage estimation device comprising: The acquisition unit acquires a photographic image of one surface of the substrate to be estimated; The calculation unit calculates the rate of change of pixel values ​​with respect to the radial direction of the substrate in a photographic image of one surface of the estimated substrate. as well as The estimation unit estimates the warpage of the substrate based on the correlation between the rate of change of continuous pixel values ​​in the radial direction of the substrate in the photographic image of one surface of the substrate and the amount of warpage of the substrate, as well as the calculation results of the calculation unit.

2. The warpage estimation device according to claim 1, characterized in that, The calculation unit removes abnormal portions from the photographic image of one surface of the estimated target substrate, and performs the calculation based on the photographic image of the one surface of the estimated target substrate after the abnormal portions have been removed.

3. The warpage estimation device according to claim 2, characterized in that, The abnormal part is predetermined.

4. The warpage estimation device according to claim 2 or 3, characterized in that, The calculation unit determines the abnormal portion in the photographic image of the one surface of the estimated target substrate based on the photographic image of the one surface of the estimated target substrate.

5. The warpage estimation device according to claim 4, characterized in that, The calculation unit determines the portion of the image of one surface of the estimated target substrate where the pixel value is outside the specified range as the abnormal portion.

6. The warpage estimation device according to claim 5, characterized in that, The calculation unit will determine the portion that is identified as a defect in the defect inspection based on the camera image of one surface of the estimated target substrate as the abnormal portion.

7. The warpage estimation device according to claim 1, characterized in that, The calculation unit selects a region about the circumference of the substrate from a photographic image of one surface of the substrate to be estimated for the calculation.

8. The warpage estimation device according to claim 7, characterized in that, The calculation unit selects multiple regions about the circumference of the substrate for the calculation.

9. The warpage estimation device according to claim 1, characterized in that, The calculation unit performs the calculation based on a photographic image of one surface of the estimated target substrate after averaging along the circumference of the substrate.

10. The warpage estimation device according to claim 1, characterized in that, The calculation unit excludes outliers from the pixel values ​​contained in the photographic image of one surface of the estimated target substrate used for the calculation.

11. The warpage estimation device according to claim 1, characterized in that, The estimation unit performs the estimation using a correlation that varies depending on the diameter of the substrate support portion that supports the substrate in a manner that extends the periphery of the substrate when the camera unit photographs one surface of the substrate to be estimated.

12. The warpage estimation device according to claim 1, characterized in that, For a predetermined pixel value of a color, the calculation unit performs the calculation, and the estimation unit performs the estimation.

13. The warpage estimation device according to claim 1, characterized in that, The calculation unit calibrates the image of the back side of the estimation target substrate based on the image of one surface of the calibration substrate without warping, and performs the calculation based on the calibrated image of the back side of the estimation target substrate.

14. A method for estimating warpage amount, wherein the method includes the following steps: Acquire a photographic image of one surface of the substrate to be estimated; Calculate the rate of change of pixel values ​​with respect to the radial direction of the substrate in the photographic image of one surface of the estimated substrate; as well as The warpage of the substrate is estimated based on the pre-determined correlation between the rate of change of pixel values ​​with respect to the radial direction of the substrate in the photographic image of one surface of the substrate and the amount of warpage of the substrate, and the calculation results of the rate of change of continuous pixel values ​​with respect to the radial direction of the substrate in the photographic image of one surface of the substrate to be estimated.