Height measurement using optical interference
AssigneeInternational Business Machines Corporation
InventorsRichard A. Haight, James B. Hannon, Rudolf M. Tromp
Life of this patent
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Abstract
Methods and systems for measuring a distance include measuring a first interference pattern between a lens and a target surface using a light source at a first wavelength. A second interference pattern is measured between the lens and the target surface using a light source at a second wavelength, different from the first wavelength. An absolute measurement of a distance between the lens and the target surface is determined based on the first interference pattern and the second interference pattern.
Claims16
A method for measuring a distance, comprising:
- measuring a first interference pattern between a lens and a target surface using a light source at a first wavelength;
- measuring a second interference pattern between the lens and the target surface using a light source at a second wavelength, different from the first wavelength;
- and
- determining an absolute measurement of a distance between the lens and the target surface using a processor based on the first interference pattern and the second interference pattern by measuring a radius of a smallest ring in the first interference pattern and a radius of a smallest ring in the second interference pattern and solving:
- λ
- 1
- 2
-
- n
- 0
-
- (
- N
- +
- 1
- 2
- -
- r
- 1
- )
- =
- λ
- 2
- 2
-
- n
- 0
-
- (
- M
- +
- 1
- 2
- -
- r
- 2
- )
- where λ1 is the first wavelength, λ2 is the second wavelength, n0 is the index of refraction of a medium between the lens and the target surface, r1 is a ratio between the radius of the smallest ring in the first interference pattern and the squared spacing between rings in the first interference pattern, r2 is a ratio between the radius of the smallest ring in the second interference pattern and the squared spacing between rings in the second interference pattern, and N and M are integers to be determined.
A system for measuring a distance, comprising:
- a lens positioned a distance above a target surface;
- a camera configured to measure a first interference pattern between the lens and the target surface using a light source at a first wavelength and to measure a second interference pattern between the lens and the target surface using a light source at a second wavelength;
- a processor configured to determine an absolute measurement of the distance between the lens and the target surface based on the first interference pattern and the second interference pattern to measure a radius of a smallest ring in the first interference pattern and a radius of a smallest ring in the second interference pattern, and to solve:
- λ
- 1
- 2
-
- n
- 0
-
- (
- N
- +
- 1
- 2
- -
- r
- 1
- )
- =
- λ
- 2
- 2
-
- n
- 0
-
- (
- M
- +
- 1
- 2
- -
- r
- 2
- )
- where λ1 is the first wavelength, λ2 is the second wavelength, n0 is the index of refraction of a medium between the lens and the target surface, r1 is a ratio between the radius of the smallest ring in the first interference pattern and the squared spacing between rings in the first interference pattern, r2 is a ratio between the radius of the smallest ring in the second interference pattern and the squared spacing between rings in the second interference pattern, and N and M are integers to be determined.
A system for measuring a distance, comprising:
- a lens positioned a distance above a target surface;
- a camera configured to measure a first interference pattern between the lens and the target surface using a light source at a first wavelength and to measure a second interference pattern between the lens and the target surface using a light source at a second wavelength;
- a processor configured to determine an absolute measurement of the distance between the lens and the target surface based on the first interference pattern and the second interference pattern;
- and
- an optical system configured such that a beam of light from the first light source overlaps in space with a beam of light from the second light source and emerges from the lens at a same point as the beam of light from the second light source such that each beam of light measures a same distance between the lens and the target surface.
Dependencies are inferred from the claim text.