Abstract: Methods and systems for monitoring band structure characteristics and predicting electrical characteristics of a sample early in a semiconductor manufacturing process flow are presented herein. High throughput spectrometers generate spectral response data from semiconductor wafers. In one example, the measured optical dispersion is characterized by a Gaussian oscillator, continuous Cody-Lorentz model. The measurement results are used to monitor band structure characteristics, including band gap and defects such as charge trapping centers, exciton states, and phonon modes in high-K dielectric layers and embedded nanostructures. The Gaussian oscillator, continuous Cody-Lorentz model can be generalized to include any number of defect levels. In addition, the shapes of absorption defect peaks may be represented by Lorentz functions, Gaussian functions, or both. These models quickly and accurately represent experimental results in a physically meaningful manner.

Abstract: A system and method for local film stress calculation is disclosed. The method may include specifying a plurality of measurement points on a substrate, the substrate being configured to receive a film deposition; obtaining a local film thickness measurement for each measurement point; obtaining a local wafer shape parameter for each measurement point; and calculating a local film stress value for each measurement point based on the local film thickness measurement and the local wafer shape parameter for each corresponding measurement point. The method may further include specifying a plurality of estimation points on the substrate; obtaining a local wafer shape parameter for each estimation point; calculating an estimated local film thickness for each estimation point; and calculating a local film stress value for each estimation point based on the estimated local film thickness and the local wafer shape parameter for each corresponding estimation point.

Abstract: Embodiments are generally directed to neural network training for library-based critical dimension metrology. An embodiment of a method includes optimizing a threshold for a principal component analysis of a spectrum data set to provide a principal component value, estimating a training target for one or more neural networks, training the one or more neural networks based both on the training target and on the principal component value provided from optimizing the threshold for the principal component analysis, and providing a spectral library based on the one or more trained neural networks.

Abstract: Methods and systems for determining band structure characteristics of high-k dielectric films deposited over a substrate based on spectral response data are presented. High throughput spectrometers are utilized to quickly measure semiconductor wafers early in the manufacturing process. Optical models of semiconductor structures capable of accurate characterization of defects in high-K dielectric layers and embedded nanostructures are presented. In one example, the optical dispersion model includes a continuous Cody-Lorentz model having continuous first derivatives that is sensitive to a band gap of a layer of the unfinished, multi-layer semiconductor wafer. These models quickly and accurately represent experimental results in a physically meaningful manner. The model parameter values can be subsequently used to gain insight and control over a manufacturing process.

Abstract: Metrology may be implemented during semiconductor device fabrication by a) modeling a first measurement on a first test cell formed in a layer of a partially fabricated device; b) performing a second measurement on a second test cell in the layer; c) feeding information from the second measurement into the modeling of the first measurement; and after a lithography pattern has been formed on the layer including the first and second test cells, d) modeling a third and a fourth measurement on the first and second test cells respectively using information from a) and b) respectively.

Abstract: Methods and tools for generating measurement models of complex device structures based on re-useable, parametric models are presented. Metrology systems employing these models are configured to measure structural and material characteristics associated with different semiconductor fabrication processes. The re-useable, parametric sub-structure model is fully defined by a set of independent parameters entered by a user of the model building tool. All other variables associated with the model shape and internal constraints among constituent geometric elements are pre-defined within the model. In some embodiments, one or more re-useable, parametric models are integrated into a measurement model of a complex semiconductor device. In another aspect, a model building tool generates a re-useable, parametric sub-structure model based on input from a user.

Abstract: Methods and systems for monitoring band structure characteristics and predicting electrical characteristics of a sample early in a semiconductor manufacturing process flow are presented herein. High throughput spectrometers generate spectral response data from semiconductor wafers. In one example, the measured optical dispersion is characterized by a Gaussian oscillator, continuous Cody-Lorentz model. The measurement results are used to monitor band structure characteristics, including band gap and defects such as charge trapping centers, exciton states, and phonon modes in high-K dielectric layers and embedded nanostructures. The Gaussian oscillator, continuous Cody-Lorentz model can be generalized to include any number of defect levels. In addition, the shapes of absorption defect peaks may be represented by Lorentz functions, Gaussian functions, or both. These models quickly and accurately represent experimental results in a physically meaningful manner.

Abstract: Disclosed are apparatus and methods for characterizing a plurality of structures of interest on a semiconductor wafer. A plurality of models having varying combinations of floating and fixed critical parameters and corresponding simulated spectra is generated. Each model is generated to determine one or more critical parameters for unknown structures based on spectra collected from such unknown structures. It is determined which one of the models best correlates with each critical parameter based on reference data that includes a plurality of known values for each of a plurality of critical parameters and corresponding known spectra. For spectra obtained from an unknown structure using a metrology tool, different ones of the models are selected and used to determine different ones of the critical parameters of the unknown structure based on determining which one of the models best correlates with each critical parameter based on the reference data.

Abstract: A metrology system, method, and computer program product that employ automatic transitioning between utilizing a library and utilizing regression for measurement processing are provided. In use, it is determined, by the metrology system, that a predetermined condition has been met. In response to determining that the predetermined condition has been met, the metrology system automatically transitions between utilizing a library and utilizing regression for measurement processing.

Abstract: A metrology performance analysis system includes a metrology tool including one or more detectors and a controller communicatively coupled to the one or more detectors. The controller is configured to receive one or more metrology data sets associated with a metrology target from the metrology tool in which the one or more metrology data sets include one or more measured metrology metrics and the one or more measured metrology metrics indicate deviations from nominal values. The controller is further configured to determine relationships between the deviations from the nominal values and one or more selected semiconductor process variations, and determine one or more root causes of the deviations from the nominal values based on the relationships between values of the one or more metrology metrics and the one or more selected semiconductor process variations.

Abstract: The present invention includes generating a three-dimensional design of experiment (DOE) for a plurality of semiconductor wafers, a first dimension of the DOE being a relative amount of a first component of the thin film, a second dimension of the DOE being a relative amount of a second component of the thin film, a third dimension of the DOE being a thickness of the thin film, acquiring a spectrum for each of the wafers, generating a set of optical dispersion data by extracting a real component (n) and an imaginary component (k) of the complex index of refraction for each of the acquired spectrum, identifying one or more systematic features of the set of optical dispersion data; and generating a multi-component Bruggeman effective medium approximation (BEMA) model utilizing the identified one or more systematic features of the set of optical dispersion data.

Abstract: Disclosed are apparatus and methods for characterizing a plurality of structures of interest on a semiconductor wafer. A plurality of models having varying combinations of floating and fixed critical parameters and corresponding simulated spectra is generated. Each model is generated to determine one or more critical parameters for unknown structures based on spectra collected from such unknown structures. It is determined which one of the models best correlates with each critical parameter based on reference data that includes a plurality of known values for each of a plurality of critical parameters and corresponding known spectra. For spectra obtained from an unknown structure using a metrology tool, different ones of the models are selected and used to determine different ones of the critical parameters of the unknown structure based on determining which one of the models best correlates with each critical parameter based on the reference data.

Abstract: Methods and systems for determining band structure characteristics of high-k dielectric films deposited over a substrate based on spectral response data are presented. High throughput spectrometers are utilized to quickly measure semiconductor wafers early in the manufacturing process. Optical models of semiconductor structures capable of accurate characterization of defects in high-K dielectric layers and embedded nanostructures are presented. In one example, the optical dispersion model includes a Cody-Lorentz model augmented by one or more oscillator functions sensitive to one or more defects of the unfinished, multi-layer semiconductor wafer. These models quickly and accurately represent experimental results in a physically meaningful manner. The model parameter values can be subsequently used to gain insight and control over a manufacturing process.

Abstract: Methods and systems for determining a meta-model to correct model based measurements are presented. Such systems are employed to measure structural and material characteristics (e.g., material composition, dimensional characteristics of structures and films, etc.) associated with different semiconductor fabrication processes. In one aspect, model-based measurement parameter values are corrected based on a meta-model that maps specimen parameter values determined based on the measurement model to reference parameter values determined based on a more accurate reference measurement. In another aspect, parameters of a meta-model are determined such that errors between reference parameter values and specimen parameter values determined based on the measurement model are minimized. In some embodiments, the accuracy of a corrected parameter value is an order of magnitude greater than the uncorrected parameter value.

Abstract: The disclosure is directed to improving optical metrology for a sample with complex structural attributes utilizing custom designed secondary targets. At least one parameter of a secondary target may be controlled to improve sensitivity for a selected parameter of a primary target and/or to reduce correlation of the selected parameter with other parameters of the primary target. Parameters for the primary and secondary target may be collected. The parameters may be incorporated into a scatterometry model. Simulations utilizing the scatterometry model may be conducted to determine a level of sensitivity or a level of correlation for the selected parameter of the primary target. The controlled parameter of the secondary target may be modified until a selected level of sensitivity or a selected level of correlation is achieved.

Abstract: Electromagnetic modeling of finite structures and finite illumination for metrology and inspection are described herein. In one embodiment, a method for evaluating a diffracting structure involves providing a model of the diffracting structure. The method involves computing background electric or magnetic fields of an environment of the diffracting structure. The method involves computing scattered electric or magnetic fields from the diffracting structure using a scattered field formulation based on the computed background fields. The method further involves computing spectral information for the model of the diffracting structure based on the computed scattered fields, and comparing the computed spectral information for the model with measured spectral information for the diffracting structure. In response to a good model fit, the method involves determining a physical characteristic of the diffracting structure based on the model of the diffracting structure.

Abstract: Methods of determining asymmetric properties of structures are described. A method includes measuring, for a grating structure, a first signal and a second, different, signal obtained by optical scatterometry. A difference between the first signal and the second signal is then determined. An asymmetric structural parameter of the grating structure is determined based on a calculation using the first signal, the second signal, and the difference.

Abstract: Methods and systems for estimating values of parameters of interest of actual device structures based on optical measurements of nearby metrology targets are presented herein. High throughput, inline metrology techniques are employed to measure metrology targets located near actual device structures. Measurement data collected from the metrology targets is provided to a trained signal response metrology (SRM) model. The trained SRM model estimates the value of one or more parameters of interest of the actual device structure based on the measurements of the metrology target. The SRM model is trained to establish a functional relationship between actual device parameters measured by a reference metrology system and corresponding optical measurements of at least one nearby metrology target. In a further aspect, the trained SRM is employed to determine corrections of process parameters to bring measured device parameter values within specification.

Abstract: A library expansion system, method, and computer program product for metrology are provided. In use, processing within a first multi-dimensional library is performed by a metrology system. During the processing within the first multi-dimensional library, a second multi-dimensional library is identified. The processing is then transitioned to the second multi-dimensional library. Further, processing within the second multi-dimensional library is performed by the metrology system.

Abstract: Provided are optimized scatterometry techniques for evaluating a diffracting structure. In one embodiment, a method includes computing a finite-difference derivative of a field matrix with respect to first parameters (including a geometric parameter of the diffracting structure), computing an analytic derivative of the Jones matrix with respect to the field matrix, computing a derivative of the Jones matrix with respect to the first parameters, and computing a finite-difference derivative of the Jones matrix with respect to second parameters (including a non-geometric parameter). In one embodiment, a method includes generating a transfer matrix having Taylor Series approximations for elements, and decomposing the field matrix into two or more smaller matrices based on symmetry between the incident light and the diffracting structure.