Optical profiler using improved phase shifting interferometry
First Claim
1. A method of producing information representing the distribution of the phase difference between first and second interfering beams, the first and second interfering beams producing an interference pattern, the method comprising the steps of:
- (a) changing the phase difference between the first and second beams at a constant rate;
(b) guiding the interference pattern into an array of photodetectors;
(c) integrating photocurrents produced by the individual photodetectors, respectively, to produce integrated buckets that correspond to intensities of various points across the interference pattern;
(d) measuring first, second, third and fourth integrated buckets produced by each photodetector at times that correspond to first, second, third, and fourth approximately 90 degree changes in the phase difference between the first and second beams while continuously maintaining the rate of change of the phase difference between the first and second beams at a constant value;
(e) computing a first phase value corresponding to each photodetector from the first, second, and third integrated buckets produced by that photodetector;
(f) computing a second phase value, corresponding to each photodetector, from the second, third, and fourth integrated buckets produced by that photodetector; and
(g) adding the first and second phase values corresponding to each of the photodetectors to cancel sinusoidal error produced by small errors in the approximately 90 degree changes in the phase difference between the first and second beams.
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Abstract
An optical profiler includes a two-beam interferometer. An interference pattern produced thereby is focused onto an array of photocells. Phase shift in a reference beam of the interferometer is produced by accelerating a piezoelectric transducer supporting the interferometer mirror to a constant velocity. The velocity is maintained constant for at least 360° of phase shift, during which four integrated buckets are obtained from each photocell. The outputs of the photodetector array are continuously integrated and effectively read out every 90° of phase shift of the reference beam by a computer that computes a first value of phase corresponding to each photocell output from the first, second, and third integrated buckets produced by that photocell and a second phase value from the second, third, and fourth integrated bucket values obtained from that photocell. The two phase values are averaged, eliminating the effects of sinusoidal noise produced by inaccuracies in the reference beam phase at which integrated buckets are initiated and terminated. Data points at which intensity modulation produced by the reference beam phase variation is less than a noise threshold are masked from phase calculations. The intensity of the interferometer light source is automatically controlled by averaging intensity of the intereference pattern at angles that differ by 180° to cancel out the effects of the interference and obtain an average intensity. The lamp voltage is automatically adjusted to maintain the average intensity.
132 Citations
24 Claims
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1. A method of producing information representing the distribution of the phase difference between first and second interfering beams, the first and second interfering beams producing an interference pattern, the method comprising the steps of:
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(a) changing the phase difference between the first and second beams at a constant rate; (b) guiding the interference pattern into an array of photodetectors; (c) integrating photocurrents produced by the individual photodetectors, respectively, to produce integrated buckets that correspond to intensities of various points across the interference pattern; (d) measuring first, second, third and fourth integrated buckets produced by each photodetector at times that correspond to first, second, third, and fourth approximately 90 degree changes in the phase difference between the first and second beams while continuously maintaining the rate of change of the phase difference between the first and second beams at a constant value; (e) computing a first phase value corresponding to each photodetector from the first, second, and third integrated buckets produced by that photodetector; (f) computing a second phase value, corresponding to each photodetector, from the second, third, and fourth integrated buckets produced by that photodetector; and (g) adding the first and second phase values corresponding to each of the photodetectors to cancel sinusoidal error produced by small errors in the approximately 90 degree changes in the phase difference between the first and second beams. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16)
- 11. The method of claim 10 wherein the first beam is a test beam reflected from a test surface, the method including computing the height of variations in the test surface in accordance with the equation
- space="preserve" listing-type="equation">h(x)=(λ
/(4π
)φ
(x).
- space="preserve" listing-type="equation">h(x)=(λ
-
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12. The method of claim 10 further including determining if modulation of intensity of the reference beam caused in response to variations in the phase difference between the first and second beams exceeds a predetermined noise threshold before computing the first and second phases.
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13. The method of claim 12 including assigning a predetermined mask value to an average phase variable for a particular photodetector if the modulation of the intensity corresponding to that photodetector does not exceed the predetermined noise threshold.
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14. The method of claim 12 including determining whether the modulation of the intensity exceeds the predetermined noise threshold by performing the steps of comparing the absolute values of C-B, A-B, D-C, and B-C to the predetermined noise threshold and determining that the modulation of intensity is greater than the noise threshold if at least one of those quantities is greater than the predetermined noise threshold.
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15. The method of claim 1 including determining a first group of intensities corresponding to integrated buckets produced by a predetermined group of photocells at a first phase difference between the first and second beams, shifting the phase difference between the first and second beams by 180 degrees, determining a second group of intensities detected by the same group of photocells, respectively, from the integrated buckets produced thereby, adding corresponding first and second intensities to cancel variations due to interference between the first and second beams and to obtain an average intensity value, and adjusting the filament voltage of a light source from which the first and second beams are derived so that the average intensity value equals a predetermined intensity level.
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16. The method of claim 1 wherein the small errors are in the range of zero degrees to approximately five degrees.
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17. A method of providing information representing the distribution of phase difference between first and second interfering beams, the first and second interfering beams producing an interference pattern, the method comprising the steps of:
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(a) changing the phase difference between the first and second beams at a constant rate; (b) guiding the interference pattern into a photodetector; (c) integrating the interference pattern by of the photodetector to produce integrated buckets that correspond intensities of various points across the interference pattern; (d) measuring first, second, third, and fourth integrated buckets produced by the photodetector at times that correspond to first, second, third, and fourth approximately 90 degree changes in the phase difference between the first and second beams while continuously maintaining the rate of change of the phase difference between the first and second beams at a constant value; (e) computing a first phase value from the first, second, and third integrated buckets; (f) computing a second phase value from the second, third, and fourth integrated buckets; and (g) adding the first and second phase values to cancel sinusoidal error produced by small errors in the 90 degree changes in the phase difference between the first and second beams.
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18. An interferometric apparatus comprising:
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(a) means for producing first and second beams and causing the first and second beams to interfere, producing an interference pattern; (b) means for changing a phase difference between the first and second beams at a constant rate; (c) means for guiding the interference pattern into an array of photodetectors, the array of photodetectors including means for integrating photocurrents produced by the individual photodetectors, respectively, to produce integrated buckets that correspond to intensities of various points across the interference pattern; (d) means for measuring first, second, third and fourth integrated buckets produced by each photodetector at times that correspond to first, second, third, and fourth approximately 90 degree changes in the phase difference between the first and second beams while the rate of change in the phase difference between the first and second beams remain constant; (e) means for computing a first phase value corresponding to each photodetector from the first, second, and third integrated buckets produced by that photodetector; (f) means for computing a second phase value, corresponding to each photodetector, from the second, third, and fourth integrated buckets produced by that photodetector; and (g) means for adding the first and second phase values corresponding to each of the photodetectors to cancel sinusoidal error produced by small errors in the approximately 90 degree changes in the phase difference between the first and second beams. - View Dependent Claims (19, 20, 21, 22, 23, 24)
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Specification