The present disclosure relates to methods for processing images of semiconductor substrates, in particular for device manufacturing using lithographic apparatus.
A lithographic apparatus is a machine that applies a desired pattern onto a substrate, usually onto a target portion of the substrate. A lithographic apparatus can be used, for example, in the manufacture of integrated circuits (ICs). In that instance, a patterning device, which is alternatively referred to as a mask or a reticle, may be used to generate a circuit pattern to be formed on an individual layer of the IC. This pattern can be transferred onto a target portion (e.g., including part of a die, one die, or several dies) on a substrate (e.g., a silicon wafer). Transfer of the pattern is typically via imaging onto a layer of radiation-sensitive material (resist) provided on the substrate. In general, a single substrate will contain a network of adjacent target portions that are successively patterned.
Most semiconductor devices require a plurality of pattern layers to be formed and transferred onto the substrate. For proper functioning of the device, there is usually a limit on the tolerable error in the positioning of edges, quantified in an edge placement error (EPE). EPE can arise because of errors in the relative positioning of successive layers, known as overlay, or due to errors in the dimensions (specifically the critical dimension (CD)) of features. With the continual desire in the lithographic art to reduce the size of features that can be formed (shrink), the limits on EPE are becoming stricter.
Overlay can arise from a variety of causes in the lithographic process, for example errors in the positioning of the substrate during exposure and aberrations in the projected image. Overlay can also be caused during process steps, such as etching, which are used to transfer the pattern onto the substrate. Some such process steps generate stresses within the substrate that lead to local or global distortions of the substrate. The formation of three dimensional structures on the substrate, such as is required for recently developed memory types and MEMS, can also lead to significant distortions of the substrate. CD variation can also derive from a variety of causes, including dose or focus errors.
The present disclosure aims to enable more accurate metrology, e.g. for use in lithographic device manufacturing processes.
According to some embodiments, there is provided a method for removing an artifact from an image of a semiconductor substrate, the method comprising:
obtaining an image of a structure on the semiconductor substrate;
encoding the image of the structure into a latent space thereby forming a first encoding;
subtracting an artifact vector, representative of an artifact in the image, from the encoding thereby forming a second encoding; and
decoding the second encoding to obtain a decoded image.
According to some embodiments, there is provided an inspection tool comprising: an imaging system configured to image a portion of a semiconductor substrate; and an image analysis system configured to:
obtain an image of a structure on the semiconductor substrate;
encode the image of the structure into a latent space thereby forming a first encoding;
subtract an artifact vector, representative of an artifact in the image, from the encoding thereby forming a second encoding; and
decode the second encoding to obtain a decoded image.
Some embodiments of the present disclosure provide a method of manufacture of a semiconductor substrate, the method comprising the steps of:
manufacturing at least part of the semiconductor substrate;
obtaining an image of a structure on the semiconductor substrate;
encoding the image of the structure into a latent space thereby forming a first encoding;
subtracting an artifact vector, representative of an artifact in the image, from the encoding thereby forming a second encoding;
decoding the second encoding to obtain a decoded image;
analyzing the decoded image to obtain a metric of the image;
comparing the metric to a target metric and taking remedial action when the metric does not meet the target metric.
Embodiments will now be described, by way of example, with reference to the accompanying drawings in which:
Electronic devices are constructed of circuits typically formed on a piece of silicon called a substrate, which may be referred to as a semiconductor substrate. Of course any other suitable material may be used for the substrate. Many circuits may be formed together on the same piece of silicon and are called integrated circuits or ICs. The size of these circuits has decreased dramatically so that many more of them can fit on the substrate. For example, an IC chip in a smartphone can be as small as a thumbnail and yet may include over 2 billion transistors, the size of each transistor being less than 1/1000th the size of a human hair.
Making these extremely small ICs is a complex, time-consuming, and expensive process, often involving hundreds of individual steps. Errors in even one step have the potential to result in defects in the finished IC, rendering it useless. Thus, one goal of the manufacturing process is to avoid such defects to maximize the number of functional ICs made in the process; that is, to improve the overall yield of the process.
One component of improving yield is monitoring the chip-making process to ensure that it is producing a sufficient number of functional integrated circuits. One way to monitor the process is to inspect the chip circuit structures at various stages of their formation. Inspection can be carried out using a scanning electron microscope (SEM), an optical inspection system, etc. Such systems can be used to image these structures, in effect, taking a “picture” of the structures of the wafer, with a SEM being able to image the smallest of these structures. The image can be used to determine if the structure was formed properly in the proper location. If the structure is defective, then the process can be adjusted, so the defect is less likely to recur.
In order to control errors in a lithographic manufacturing process, such as errors in the relative position of features in different layers (known as overlay) and the size of features (known as CD variation), it is necessary to measure the errors, such as by use of a scanning electron microscope (SEM), an optical inspection system, etc., before corrections can be applied. When using a SEM or other inspection system, images of the substrate are typically obtained and the size of features on the substrate are measured from the images. This allows, for example, determination of CD variation or EPE. However, the images obtained by the imaging techniques often comprise artifacts therein which can negatively impact the measurement of features therein. For example, when using a SEM, charging of the substrate can occur. This charging may be apparent on the images of the substrate, and can cause blurring of the features thereon. As a result, measurement of the features may not be wholly accurate and thus the charging may introduce an error in the measurements. Given the small tolerances in the measurements of the features on such substrates, errors of this type are less than desirable. Other artifacts which may be present in an image of a substrate, and thereby potentially cause errors in the measurement of features on the substrate, include noise and SEM-induced resist shrinkage. Disclosed below are new methods for the removal of artifacts or other undesirable image elements that enable more accurate measurements of features on the substrate.
Some methods disclosed herein process an image of a semiconductor substrate, which may have artifacts present therein, by encoding the image into a latent space, removing the artifacts in the latent space and decoding the encoding to reproduce the image with the artifacts removed. This advantageously produces an image with the artifacts removed therefrom which may then go on to be analyzed to determine the measurements of features of the image. The measurements of images with the artifacts removed therefrom will be more accurate. This improved accuracy may ensure that appropriate action is taken in the manufacturing process thus potentially maximizing the yield of the process. The lower dimensionality of the latent space compared to the dimensionality of the input space, i.e., the original images, may allow the artifacts to be removed more easily. Further, the inherent descriptive structure of a latent space may allow the identification of artifact-specific fingerprints more easily in the latent space, when compared to identifying such artifacts in the input space.
Before describing embodiments in detail, it is instructive to present an example environment in which the techniques disclosed herein may be implemented.
Known lithographic apparatus irradiate each target portion by illuminating the patterning device while synchronously positioning the target portion of the substrate at an image position of the patterning device. An irradiated target portion of the substrate is referred to as an “exposure field”, or simply “field”. The layout of the fields on the substrate is typically a network of adjacent rectangles or other shapes aligned in accordance to a Cartesian two-dimensional coordinate system (e.g. aligned along an X and a Y-axis, both axes being orthogonal to each other).
A requirement on the lithographic apparatus is an accurate reproduction of the desired pattern onto the substrate. The positions and dimensions of the applied product features need to be within certain tolerances. Position errors may give rise to an overlay error (often referred to as “overlay”). The overlay is the error in placing a first product feature within a first layer relative to a second product feature within a second layer. The lithographic apparatus reduces the overlay errors by aligning each wafer accurately to a reference prior to patterning. This is done by measuring positions of alignment marks which are applied to the substrate. Based on the alignment measurements, the substrate position is controlled during the patterning process in order to prevent occurrence of out of tolerance overlay errors. Alignment marks are typically created as part of the product image, forming the reference to which overlay is measured. Alternatively, alignment marks of a previously formed layer can be used.
An error in a critical dimension (CD) of the product feature may occur when the applied dose associated with the exposure 104 is not within specification. For this reason the lithographic apparatus 100 must be able to accurately control the dose of the radiation applied to the substrate. The exposure 104 is controlled by the measurement tool 102 which is integrated into the lithographic apparatus 100. CD errors may also occur when the substrate is not positioned correctly with respect to a focal plane associated with the pattern image. Focal position errors are commonly associated with non-planarity of a substrate surface. The lithographic apparatus reduces these focal position errors by measuring the substrate surface topography using a level sensor prior to patterning. Substrate height corrections are applied during subsequent patterning to assure correct imaging (focusing) of the patterning device onto the substrate.
To verify the overlay and CD errors associated with the lithographic process, the patterned substrates are inspected by a metrology apparatus 140. Common examples of a metrology apparatus are scatterometers and scanning electron microscopes. The scatterometer conventionally measures characteristics of dedicated metrology targets. These metrology targets are representative of the product features, except that their dimensions are typically larger in order to allow accurate measurement. The scatterometer measures the overlay by detecting an asymmetry of a diffraction pattern associated with an overlay metrology target. Critical dimensions are measured by analysis of a diffraction pattern associated with a CD metrology target. A CD metrology target is used for measuring the result of the most recently exposed layer. An overlay target is used for measuring the difference between the positions of the previous and most recent layers. An electron beam (e-beam) based inspection tool, such as a scanning electron microscope (SEM), may be well suited for the measurement of small overlay and CD values.
Within a semiconductor production facility, lithographic apparatus 100 and metrology apparatus 140 form part of a “litho cell” or “litho cluster”. The litho cluster comprises also a coating apparatus 108 for applying photosensitive resist to substrates W, a baking apparatus 110, a developing apparatus 112 for developing the exposed pattern into a physical resist pattern, an etching station 122, apparatus 124 performing a post-etch annealing step and possibly further processing apparatuses, 126, etc. The metrology apparatus is configured to inspect substrates after development at development apparatus 112, or after further processing (e.g. etching at etching station 122). The various apparatuses within the litho cell are controlled by a supervisory control system SCS, which issues control signals 166 to control the lithographic apparatus via lithographic apparatus control unit LACU 106 to perform recipe R. The SCS allows the different apparatuses to be operated giving maximum throughput and product yield. An important control mechanism is the feedback 146 of the metrology apparatus 140 to the various apparatus (via the SCS), in particular to the lithographic apparatus 100. Based on the characteristics of the metrology feedback, corrective actions are determined to improve processing quality of subsequent substrates. The SCS can be one computer or multiple computers, which may or may not communicate. The recipe R can be implemented as one recipe or as multiple independent recipes. For example, the recipe for a process step such as etch may be totally independent of the recipe to inspect the result of that process step (e.g. etch). For example, two or more recipes for individual steps may be interrelated such that one recipe is adjusted to take account of the results of performance of another recipe on the same or a different substrate.
The performance of a lithographic apparatus is conventionally controlled and corrected by methods such as advanced process control (APC) described for example in US2012008127A1. The advanced process control techniques use measurements of metrology targets applied to the substrate. A Manufacturing Execution System (MES) schedules the APC measurements and communicates the measurement results to a data processing unit. The data processing unit translates the characteristics of the measurement data to a recipe comprising instructions for the lithographic apparatus. This method is very effective in suppressing drift phenomena associated with the lithographic apparatus.
The processing of metrology data to corrective actions performed by the processing apparatus is important for semiconductor manufacturing. In addition to the metrology data, characteristics of individual patterning devices, substrates, processing apparatus and other context data may be needed to further optimize the manufacturing process. The framework wherein available metrology and context data is used to optimize the lithographic process as a whole is commonly referred to as part of holistic lithography. For example, context data relating to CD errors on a reticle may be used to control various apparatus (lithographic apparatus, etching station) such that said CD errors will not affect the yield of the manufacturing process. Subsequent metrology data may then be used to verify the effectiveness of the control strategy and further corrective actions may be determined.
To qualify the process window, separate CD and overlay measurements are performed with one or more of the existing tools and combined into an edge placement error (EPE) budget. Often, one metrology step might be performed after development (ADI) and another after an etch step (AEI), and there are inherent difficulties in calibrating two such different measurements to give equivalent results.
EPE is very important to ensure that a semiconductor device is working properly and, for example, it may affect whether, in a back end of line module, there is sufficient electrical contact. This makes EPE measurements very valuable to ensuring that the process window accommodates a sufficient EPE budget and to controlling the process to remain within window.
The method according to the present disclosure aims to address the above problems and enable more accurate measurement of structures on the substrate.
A variational autoencoder network comprising an encoder and decoder may be pre-trained in order to perform the steps described above. Training of the autoencoder network, i.e., optimizing the weights of the encoder and decoder, may be achieved by encoding training images and decoding to the encodings with the aim being to obtain an output image that is as close as possible to the input image. The weightings may be adjusted accordingly to achieve this. This training may be performed using a plurality of training images, preferably a large number of images, with varying levels of artifact present therein. The training images may, for example, be obtained using an SEM or the images may be synthetically produced.
The exemplary method described above with respect to
z′=encoder(x′) (1)
Encoding the image may take a high-dimensional image to a descriptive low-dimensional latent space. Once the first encoding is formed, the artifact vector, represented by αu, is subtracted in step S3 to form a second encoding z″. This is shown mathematically as:
z″=z′−αu (2)
With the artifact vector removed, the second encoding z″ is then decoded in step S4 to provide a decoded image x″. This is shown mathematically as:
x″=decoder(z″)=decoder(encoder(x′)−αu) (3)
This decoded image x″ therefore has the artifact removed therefrom.
z
+1
=E[encoder(x)], x ∈ X+1 (4)
z
+2
=E[encoder(x)], x ∈ X+2, (5)
where E is the expectation operator.
Once the average encodings for each of the training images in each set is determined, step S6 is performed in which the artifact direction in the latent space is determined. This may be achieved by normalizing a subtraction of the average encoding of the first set of images from the second set. This artifact direction is thus the unit length vector, u, given by equation:
The artifact strength is determined in step S7 and the artifact strength and direction are multiplied together to give the artifact vector in step S8. This artifact vector can then be used as described above in the method shown in
An exemplary method for determining the artifact strength is depicted in
In the exemplary case of removing SEM-charge induced artifacts, an optimized image may be an image which has maximum symmetry if the measured geometry is symmetric. Taking the case of the removal of SEM-charge induced artifacts, the artifact strength being determined in the method shown in
In the case of SEM-charge induced artifacts, the reason for performing the above optimization based on symmetry is because charging introduces asymmetry into images of otherwise symmetric patterns, as are typically present on semiconductor substrates. Accordingly, by minimizing the asymmetry, e.g. finding the artifact strength which when removed provides maximum symmetry, it is possible to find the length of the shift in the latent space which minimizes charging. These steps are helpful because it is difficult to have clean images without charging.
The optimization performed above for maximizing symmetry is merely one example of a type of optimization which may be performed to determine the artifact strength, and one which is particularly suited when determining the strength of a SEM-charge induced artifact. Any other appropriate optimization may be performed.
The artifact may be at least partially caused by noise in an image of the semiconductor substrate. In this instance, the same process as described above for SEM-charge induced artifacts may be carried out, except that instead of considering the symmetry of the adjusted images, the total variation may instead be considered. The total variation may be minimized in order to determine the artifact strength of a noise vector representative of noise within the image. Similarly to the process above for SEM-charge induced artifacts, a line search along the noise sensitive direction Δz may be performed and the artifact strength a of the noise artifact may be determined to be the artifact strength a which provides an adjusted image having a minimum total variation. The method shown in
It is known that noise increases the total variation of an image. Accordingly, by minimizing the total variation it may be possible to find the artifact strength for the noise artifact vector, e.g. the length of the shift in latent space, that minimizes noise. It is difficult to obtain images without any noise present and thus this technique provides a means for removing the noise from such images. Of course, total variation is not the only measure that is indicative of noise in an image and any other measure of noisiness may equally be employed in the optimization described above.
A process similar to those described above may also be employed for removing artifacts which are the result of resist shrinkage. Determination of the artifact strength for the resist shrink vector, i.e., the artifact vector, in a particular set of images may be performed by using the method shown in
It is known that resist shrink increases the CRA of an image. Accordingly, by minimizing the CRA it may be possible to find the artifact strength for the shrink artifact vector that minimizes the artifact introduced by resist-shrink.
In any of the methods described above, the artifact strength may be determined from a set of training images which may comprise the image from which the artifact will be removed, i.e., the image of the semiconductor substrate. This advantageously ensures that the artifact level in the image of interest, from which the artifact ultimately needs to be removed, is comparable to the artifact level of the images of the training set. This may be employed when removing SEM-charge induced artifacts, noise induced artifacts or resist-shrink induced artifacts.
With reference to the methods described above in which two sets of images having different levels of encoding therein are used,
The training images used in the methods described above may be any suitable training images. The training images may comprise images of semiconductor substrates with artifacts present therein. The training images may comprise images of multiple different semiconductor substrates with artifacts present therein. Further, the training images may comprise synthetic images, i.e., images which have been manufactured. For example, the synthetic images may comprise reflections, crops or other processes performed on an initial set of images of one or more semiconductor substrates.
In the embodiments described above, a single type of artifact is subtracted in each case. However, a single image may comprise multiple artifacts present therein. Accordingly, the method may comprise subtracting a plurality of different artifact vectors from the latent space. For example, a charge-induced artifact vector and a noise artifact vector may be removed in order to remove both charging and noise from the image. Any combination of artifact vectors may be removed.
The metrology apparatus 140 shown in
There is further disclosed herein a method of manufacture of a semiconductor substrate, the method comprising the steps of: manufacturing at least part of the semiconductor substrate; performing the method of removing an artifact from an image of a semiconductor substrate as disclosed herein; analyzing the decoded image to obtain a metric of the image; and comparing the metric to a target metric and taking remedial action when the metric does not meet the target metric. This manufacturing method may be performed by suitable parts of the apparatus shown in
The techniques disclosed herein can be used to improve metrology, for example SEM metrology, without compromising on throughput. Further, the techniques disclosed herein may be employed by existing commercial metrology products, for example SEM modeling products, in order to offer a fast solution for removing additional artifacts from the images obtained using the metrology process.
Advantageously the techniques disclosed herein do not necessarily require the existence of images which do not comprise artifacts therein in order to be able to determine the artifact vector. Instead, an optimization problem is solved in order to determine the length of the artifact vector.
Some of the techniques disclosed herein advantageously minimize, or even avoid, the need for other means for reducing the artifacts in images of semiconductor substrates. For example, it may no longer be necessary to: optimize the landing energy of an electron beam, coat the target with a conducting alloy, use faster scanning with lower charge dose, use more imaging frames, use opposing scan directions, perform multiple averaging, adjust electron dose per pixel, perform model-based extrapolation, or flood expose the target. All of these prior art techniques are known to have limitations, for example whilst some techniques reduce one type of artifact, they increase another type, or have other negative impacts such as reducing resolution or signal to noise ratio. Therefore by using the disclosed method for removing artifacts, it may be possible to obtain optimal images which have a reduced levels of artifacts present therein, potentially without negatively affecting the image in other ways, for example its resolution.
The techniques disclosed herein can reduce the complexity of SEM processes.
The techniques disclosed herein can be used in in-line measurements for control loops and wafer disposition.
While specific techniques have been described above, it will be appreciated that the disclosure may be practiced otherwise than as described.
The embodiments may include a computer program containing one or more sequences of machine-readable instructions configured to instruct various apparatus as depicted in
Although specific reference may have been made above to optical lithography, it will be appreciated that the techniques disclosed herein may be used in other applications, for example imprint lithography. In imprint lithography a topography in a patterning device defines the pattern created on a substrate. The topography of the patterning device may be pressed into a layer of resist supplied to the substrate whereupon the resist is cured by applying electromagnetic radiation, heat, pressure or a combination thereof. The patterning device is moved out of the resist leaving a pattern in it after the resist is cured.
The terms “radiation” and “beam” used herein encompass all types of electromagnetic radiation, including ultraviolet (UV) radiation (e.g., having a wavelength of or about 365, 355, 248, 193, 157 or 126 nm) and extreme ultra-violet (EUV) radiation (e.g., having a wavelength in the range of 1-100 nm), as well as particle beams, such as ion beams or electron beams. Implementations of scatterometers and other inspection apparatus can be made in UV and EUV wavelengths using suitable sources, and the present disclosure is in no way limited to systems using IR and visible radiation.
The term “lens”, where the context allows, may refer to any one or combination of various types of optical components, including refractive, reflective, magnetic, electromagnetic and electrostatic optical components. Reflective components are likely to be used in an apparatus operating in the UV or EUV ranges.
As used herein, unless specifically stated otherwise, the term “or” encompasses all possible combinations, except where infeasible. For example, if it is stated that a component may include A or B, then, unless specifically stated otherwise or infeasible, the component may include A, or B, or A and B. As a second example, if it is stated that a component may include A, B, or C, then, unless specifically stated otherwise or infeasible, the component may include A, or B, or C, or A and B, or A and C, or B and C, or A and B and C.
Aspects of the present disclosure are set out in the following numbered clauses:
obtaining an image of a structure on the semiconductor substrate;
encoding the image of the structure into a latent space thereby forming a first encoding;
subtracting an artifact vector, representative of an artifact in the image, from the encoding thereby forming a second encoding; and decoding the second encoding to obtain a decoded image.
encoding a plurality of semiconductor substrate training images into the latent space, wherein the plurality of training images comprises at least two sets of images, a first set having a first level of the artifact present therein and a second set having a second, higher level of the artifact present therein.
determining an average encoding of the first set of images and determining an average encoding of the second set of images;
determining an artifact direction by normalizing a subtraction of the average encoding of the first set from the second set;
determining an artifact strength; and
multiplying the artifact strength and the artifact direction to provide the artifact vector.
for a plurality of the training images, and for each value in a range of test artifact strength values, performing the following steps:
wherein the artifact strength is determined to be a particular one of the test artifact strength values for which the adjusted image corresponds to an optimized image.
an imaging system configured to image a portion of a semiconductor substrate; and
an image analysis system configured to:
the encoding thereby forming a second encoding; and
encoding a plurality of semiconductor substrate training images into the latent space, wherein the plurality of training images comprises at least two sets of images, a first set having a first level of the artifact present therein and a second set having a second, higher level of the artifact present therein.
determining an average encoding of the first set of images and determining an average encoding of the second set of images;
determining an artifact direction by normalizing a subtraction of the average encoding of the first set from the second set;
determining an artifact strength; and
multiplying the artifact strength and the artifact direction to provide the artifact vector.
for a plurality of the training images, and for each value in a range of test artifact strength values, performing the following steps:
wherein the artifact strength is determined to be a particular one of the test artifact strength values for which the adjusted image corresponds to an optimized image.
manufacturing at least part of the semiconductor substrate;
obtaining an image of a structure on the semiconductor substrate;
encoding the image of the structure into a latent space thereby forming a first encoding;
subtracting an artifact vector, representative of an artifact in the image, from the encoding thereby forming a second encoding;
decoding the second encoding to obtain a decoded image;
analyzing the decoded image to obtain a metric of the image; and
comparing the metric to a target metric and taking remedial action when the metric does not meet the target metric.
encoding a plurality of semiconductor substrate training images into the latent space, wherein the plurality of training images comprises at least two sets of images, a first set having a first level of the artifact present therein and a second set having a second, higher level of the artifact present therein.
determining an artifact direction by normalizing a subtraction of the average encoding of the first set from the second set;
determining an artifact strength; and
multiplying the artifact strength and the artifact direction to provide the artifact vector.
for a plurality of the training images, and for each value in a range of test artifact strength values, performing the following steps:
wherein the artifact strength is determined to be a particular one of the test artifact strength values for which the adjusted image corresponds to an optimized image.
The breadth and scope of the present techniques disclosed herein should not be limited by any of the above-described exemplary embodiments, but should be defined only in accordance with the following claims and their equivalents.
Number | Date | Country | Kind |
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20167449.6 | Apr 2020 | EP | regional |
This application claims priority of International application PCT/EP2021/058216, which was filed on 30 Mar. 2021, which claims priority of EP application 20167449.6 which was filed on Apr. 1, 2020, all of which are incorporated herein by reference in their entireties.
Number | Date | Country | |
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Parent | PCT/EP2021/058216 | Mar 2021 | US |
Child | 17957997 | US |