Wavefront optimization for tuning scanner based on performance matching
A method for determining a wavefront parameter of a patterning process. The method includes obtaining a reference performance (e.g., a contour, EPE, CD) of a reference apparatus (e.g., a scanner), a lens model for a patterning apparatus configured to convert a wavefront parameter of a wavefront to actuator movement, and a lens fingerprint of a tuning apparatus (e.g., a to-be-matched scanner). Further, the method involves determining the wavefront parameter (e.g., a wavefront parameter such as tilt, offset, etc.) based on the lens fingerprint of the tuning apparatus, the lens model, and a cost function, wherein the cost function is a difference between the reference performance and a tuning apparatus performance.
1. A computer readable non-transitory storage medium comprising instructions, the instructions, when executed by a computer system, configured to cause the computer system to at least:
obtain (i) a reference performance of a reference apparatus, (ii) a lens model for a patterning apparatus configured to convert a wavefront parameter of a wavefront to actuator movement, and (iii) a lens fingerprint of a tuning apparatus; and
determine the wavefront parameter based on the lens fingerprint, the lens model, and a cost function, wherein the cost function comprises a difference between the reference performance and a tuning apparatus performance.
2. The medium of claim 1 , wherein the instructions configured to cause the computer system to determine the wavefront parameter are configured to do so in an iterative process, an iteration comprising:
generation, via simulation with the lens model using the lens fingerprint of the tuning apparatus, of an initial wavefront;
determination of a substrate pattern from the initial wavefront;
determination of the tuning apparatus performance from the substrate pattern;
evaluation of the cost function based on the tuning apparatus performance and the reference performance; and
adjustment of the wavefront parameter of the initial wavefront based on a gradient of the cost function, such that the cost function is improved.
3. The medium of claim 2 , wherein the adjustment of the wavefront parameter is further based on a performance fingerprint of the lens model.
4. The medium of claim 2 , wherein the determination of the substrate pattern comprises simulation with a process model of the patterning process using the initial wavefront or the adjusted wavefront parameter-.
5. The medium of claim 2 , wherein the determination of the substrate pattern comprises:
receipt, via a metrology tool, of substrate measurements of an exposed substrate, wherein the substrate is exposed using the initial wavefront or the adjusted wavefront parameter; and
determination of the substrate pattern based on contour extraction from the substrate measurement.
6. The medium of claim 1 , wherein the wavefront parameter comprises the lens fingerprint of the tuning apparatus and a performance fingerprint of the lens model.
7. The medium of claim 1 , wherein the cost function is minimized or maximized.
8. The medium of claim 1 , wherein the cost function represents an edge placement error, CD and/or an error within a tolerance band of edge placement.
9. The medium of claim 1 , wherein the lens model includes constraints related to a correction limitation of an apparatus corresponding to the wavefront parameter.
10. The medium of claim 1 , wherein the wavefront parameter comprises an offset, a tilt, a curvature, and/or up to third order parameter associated with an optical system of the patterning apparatus.
11. The medium of claim 1 , wherein the wavefront is a through-slit wavefront.
12. The medium of claim 11 , wherein the slit has a rectangular shape.
13. The medium of claim 1 , wherein the wavefront is represented by a Zernike polynomial across a slit.
14. The medium of claim 13 , wherein the wavefront parameter is expressed as a vector of Zernike coefficients.
15. The medium of claim 1 , wherein the instructions are further configured to cause the computer system to:
convert, via the lens model, the wavefront parameter to the actuator movement; and
actuate the optical system of the tuning apparatus based on the actuator movement.
16. A computer readable non-transitory storage medium comprising instructions, the instructions, when executed by a computer system, configured to cause the computer system to at least:
obtain (i) a reference performance of a reference apparatus corresponding to a reference lens fingerprint, and (ii) a lens fingerprint of a tuning apparatus; and
determine a wavefront parameter of the tuning apparatus based on the lens fingerprint and a cost function, wherein the cost function computes a difference between the reference performance and a tuning apparatus performance.
17. The medium of claim 16 , wherein the instructions configured to cause the computer system to obtain the reference performance are further configured to cause the computer system to:
obtain a measurement of the reference lens fingerprint of the reference apparatus;
generate, via simulation with a process model, a reference pattern based on the measured reference lens fingerprint and a patterning device pattern corresponding to a design layout; and
determine the reference performance based on a contour of the reference pattern.
18. The medium of claim 16 , wherein the instructions configured to cause the computer system to determine the wavefront parameter are configured to do so in an iterative process, an iteration comprising:
determination via simulation with a process model, a substrate pattern using a patterning device pattern and a lens fingerprint of the tuning apparatus;
determination of the tuning apparatus performance based on the substrate pattern;
evaluation of the cost function based on the tuning apparatus performance and the reference performance; and
adjustment of the wavefront parameter based on a gradient of the cost function with respect to the wavefront parameter, such that the cost function is improved.
19. The medium of claim 18 , wherein the patterning device pattern is generated via simulation of a mask optimization or source mask optimization process, wherein a lens aberration model is included in the process model.
20. A computer readable non-transitory storage medium comprising instructions, the instructions, when executed by a computer system, configured to cause the computer system to at least:
obtain (i) a plurality of hot spot patterns corresponding to a layer of a substrate, (ii) a plurality of wavefronts corresponding to the plurality of hot spot patterns, and (iii) a lens fingerprint of a tuning apparatus;
determine, via simulation of a patterning process using the lens fingerprint, a tuning apparatus performance; and
select a wavefront parameter for the tuning apparatus from the plurality of wavefronts based on comparison between the tuning apparatus performance and a reference performance.