Lithography model for 3D topographic wafers
First Claim
1. A method for characterizing radiation within a resist layer on a substrate, the method comprising:
- identifying features in or underlying the resist layer;
identifying one or more scattering functions based on one or more characteristics of the features; and
determining, by a hardware computer, a substrate-specific scattering function from the one or more scattering functions, wherein the substrate-specific scattering function characterizes scattering of incident radiation within the resist layer by the identified features.
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Abstract
Described herein is a method for simulating an image formed within a resist layer on a substrate resulting from an incident radiation, wherein the method accounts for scattering of the incident radiation due to features in or underlying the resist layer. Embodiments of the invention include calculating a forward propagating electric field or forward propagating magnetic field resultant from the incident radiation at a depth in the resist layer, calculating a backward propagating electric field or backward propagating magnetic field resultant from the incident radiation at the depth in the resist layer, and calculating a radiation field at the depth in the resist layer from the forward propagating electric field or forward propagating magnetic field and from the backward propagating electric field or backward propagating magnetic field.
22 Citations
24 Claims
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1. A method for characterizing radiation within a resist layer on a substrate, the method comprising:
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identifying features in or underlying the resist layer; identifying one or more scattering functions based on one or more characteristics of the features; and determining, by a hardware computer, a substrate-specific scattering function from the one or more scattering functions, wherein the substrate-specific scattering function characterizes scattering of incident radiation within the resist layer by the identified features. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17)
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18. A method for characterizing radiation within a resist layer on a substrate, the method comprising:
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determining a scattering function of a feature element of a feature in or underlying the resist layer based on a characteristic of the feature element, wherein the scattering function characterizes scattering of incident radiation within the resist layer by the feature element, and determining, by a hardware computer, a substrate-specific scattering function, wherein the substrate-specific scattering function characterizes scattering of the incident radiation from a substantial part of a design layout to be formed within the resist layer by the feature elements underlying an image area of the substantial part of the design layout, the determining of the substrate-specific scattering function comprising incorporating the scattering function of the feature element into the substrate-specific scattering function.
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19. A non-transitory computer readable medium having instructions recorded thereon, the instructions when executed by a computer implementing a method comprising:
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identifying one or more scattering functions based on one or more characteristics of features in or underlying a resist layer on a substrate; and determining a substrate-specific scattering function from the one or more scattering functions, wherein the substrate-specific scattering function characterizes scattering of incident radiation within the resist layer by the features.
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20. A non-transitory computer readable medium having instructions recorded thereon, the instructions when executed by a computer implementing a method comprising:
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determining a scattering function of a feature element of a feature in or underlying a resist layer on a substrate based on a characteristic of the feature element, wherein the scattering function characterizes scattering of incident radiation within the resist layer by the feature element, and determining a substrate-specific scattering function, wherein the substrate-specific scattering function characterizes scattering of the incident radiation from a substantial part of a design layout to be formed within the resist layer by feature elements underlying an image area of the substantial part of the design layout, the determining of the substrate-specific scattering function comprising incorporating the scattering function of the feature element into the substrate-specific scattering function.
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- 21. A non-transitory computer readable medium having a library of scattering functions of feature elements recorded thereon, wherein the feature elements are components of features in or underlying a resist layer on a substrate, and wherein each of the scattering functions in the library respectively characterizes scattering of incident radiation within a resist layer by one of the feature elements.
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23. A method for determining an electromagnetic field inside a resist layer disposed on a substrate, wherein the substrate, or the resist layer, or both, have features defined by protrusions and/or recesses, the method comprising:
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computing, by a hardware computer, a substrate-specific scattering function based on the features and one or more scattering functions, each of the one or more scattering functions characterizing electromagnetic radiation scattering associated with at least one of the features; and computing, by the hardware computer, the electromagnetic field inside the resist layer based on the substrate-specific scattering function and an electromagnetic field provided to the resist layer.
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24. A non-transitory computer readable medium having instructions recorded thereon, the instructions, when executed, configured to cause a hardware computer to:
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compute a substrate-specific scattering function based on features defined by protrusions and/or recesses of a resist layer disposed on a substrate, of the substrate, or both, and on one or more scattering functions, each of the one or more scattering functions characterizing electromagnetic radiation scattering associated with at least one of the features; and compute an electromagnetic field inside the resist layer based on the substrate-specific scattering function and an electromagnetic field provided to the resist layer.
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Specification