Acoustics-based noninvasive wafer defect detection
Techniques are provided for detecting wafer defects. Example techniques include exciting a wafer using an acoustic signal to cause the wafer to exhibit vibrations, measuring one or more of linear frequency response metrics or nonlinear frequency responses metrics associated with the vibrations, and identifying any defects in the wafer based at least in part on one or more of the linear frequency response metrics or nonlinear frequency responses metrics. In embodiments, the wafer includes bismuth telluride (Bi 2 Te 3 ).
1. A method for detecting wafer defects, comprising:
exciting a wafer using an acoustic signal to cause the wafer to exhibit vibrations;
measuring one or more of linear frequency response metrics or nonlinear frequency responses metrics associated with the vibrations; and
identifying any defects in the wafer based at least in part on one or more of the linear frequency response metrics or nonlinear frequency responses metrics.
2. The method of claim 1 , wherein measuring the one or more of the linear frequency response metrics or nonlinear frequency responses metrics associated with the vibrations comprises using a laser vibrometer.
3. The method of claim 1 , wherein the acoustic signal comprises:
a low-frequency f L , high-amplitude pump signal that is configured to excite cracks in the wafer, causing the cracks to periodically open and close; and
a high-frequency f H , low-amplitude probe signal that is configured to pass through the cracks when the cracks close, and prohibited from passing through the cracks when the cracks open.
4. The method of claim 3 , wherein the low-frequency f L , high-amplitude pump signal comprises a linear chirp.
5. The method of claim 3 , wherein the low-frequency f L , high-amplitude pump signal covers one or more of one or more fundamental resonance modes of the wafer or a first three or four resonance modes of the wafer.
6. The method of claim 3 , wherein the high-frequency f H , low-amplitude probe signal comprises a fixed high frequency signal.
7. The method of claim 3 , wherein the high-frequency f H , low-amplitude probe signal is approximately 10× the low-frequency f L , high-amplitude pump signal.
8. The method of claim 1 , wherein the linear frequency response metrics or nonlinear frequency responses metrics associated with the vibrations comprise one or more of a mean resonance amplitude f L , a harmonic amplitude, nf L , or a modulated sideband amplitude f H ±nf L , where n is an integer.
9. The method of claim 1 , further comprising classifying the wafer as damaged or undamaged based at least in part on one or more of the linear frequency response metrics or nonlinear frequency responses metrics associated with the vibrations.
10. The method of claim 9 , wherein classifying the wafer is based at least in part on a trained machine learning model, wherein the trained machine learning model comprises one or more machine learning models trained using training data comprising known wafer defect data.
11. The method of claim 1 , wherein exciting the wafer comprises:
positioning the wafer on a top surface of a hemisphere, wherein the hemisphere is mounted to a transducer to achieve quasi-point contact between the transducer and the wafer; and
transmitting, using a function generator, a waveform to the transducer to generate standing elastic waves in the wafer.
12. The method of claim 1 , wherein the wafer comprises a plurality of measurement points.
13. The method of claim 12 , wherein the measuring the one or more of linear frequency response metrics or nonlinear frequency responses metrics associated with the vibrations comprises measuring a subset of the plurality of measurement points.
14. The method of claim 13 , wherein the subset of the plurality of measurement points comprises a number of measurement points determined based at least in part on dimensions of the wafer.
15. The method of claim 1 , further comprising:
measuring a surface velocity of the wafer in a time-domain as the wafer is excited.
16. The method of claim 15 , further comprising:
filtering and digitizing a signal representing the surface velocity and transforming the signal from the time-domain to a frequency-domain via a Fast Fourier Transform.
17. The method of claim 16 , wherein one or more of the linear frequency response metrics or nonlinear frequency responses metrics associated with the vibrations are measured from the frequency-domain signal and combined to identify defects in the wafer.
18. The method of claim 11 , wherein multiple vibrating modes of the wafer are excited to generate resonant vibrations that cause crack breathing.
19. The method of claim 1 , further comprising translating the wafer using a motorized x-y stage to measure multiple locations on a wafer surface.
20. A method for detecting wafer defects, comprising:
exciting a wafer using an acoustic signal to cause the wafer to exhibit vibrations;
measuring, at one or more measurement points of the wafer, one or more of linear frequency response metrics or nonlinear frequency responses metrics associated with the vibrations; and
identifying any defects in the wafer based at least in part on one or more of the linear frequency response metrics or nonlinear frequency responses metrics associated with the one or more measurement points of the wafer.