EP0174708A2
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EP
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A method of measuring refractive index profile of cylinder
Assignee: Kyoto University
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Filing: 1985-03-28
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Granted: —
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Expires: 2005-03-28
Abstract
Abstract Parallel light rays are applied to a cylinder and true exit positions of the rays from the cylinder are measured, phantom exit positions for the incident rays are calculated by using a mathematical function representing a phantom refractive index profile, and the mathematical function is modified so as to minimize the sum of the squared differences between the true and phantom exit positions.
Inventors
- 👤 Hiroshi Jinno
- 👤 Takeshi Yao
Bibliographic Details
Application Number
—
Jurisdiction
EP
Data Source
google_patents
Last Synchronized
2026-11-09 14:18
CPC Classifications
G; G01; G01N; G01N21/00; G01N21/17; G01N21/41; G01N21/412
Claims Analysis
Total Claims: 7
Claim 1
Independent Claim
156 words
A method of measuring refractive index profile of a cylinder, comprising steps of applying k distinct parallel rays of light to the cylinder so that the rays enter the cylinder at incident positions P I , P 2 , ···, Pk and leave the cylinder at true exit positions Q 1 , Q 2 ,···, Qk, said rays being on one plane perpendicular to longitudinal axis of said cylinder, measuring said true exit positions, assuming a mathematical function representing a phantom refractive index profile of the cylinder on said plane, calculating phantom exit positions Q 1 ', Q 2 ', ···, Q k ' for the parallel rays from said incident positions based on said assumed mathematical function, modifying said function so as to minimize sum of squared distances between the true and phantom exit positions for the rays from said incident positions, whereby the thus modified function represents the refractive index profile of the cylinder.
Claim 2
Independent Claim
156 words
A method of measuring refractive index profile of a cylinder, comprising steps of applying k distinct parallel rays of light to the cylinder so that the rays enter the cylinder at incident positions P I , P 2 , ···, Pk and leave the cylinder at true exit positions Q 1 , Q 2 ,···, Qk, said rays being on one plane perpendicular to longitudinal axis of said cylinder, measuring said true exit positions, assuming a mathematical function representing a phantom refractive index profile of the cylinder on said plane, calculating phantom exit positions Q 1 ', Q 2 ', ···, Q k ' for the parallel rays from said incident positions based on said assumed mathematical function, modifying said function so as to minimize sum of squared distances between the true and phantom exit positions for the rays from said incident positions, whereby the thus modified function represents the refractive index profile of the cylinder.
Claim 3
Dependent Claim
72 words
A method of measuring refractive index profile of a cylinder as set forth in claim 1, wherein said mathematical function is in a form of r being distance from an arbitrary point to the longitudinal axis of the cylinder, a l through a m being parameters representing pattern of the refractive index profile of the cylinder, the number m of the parameters being not greater the number k of the rays (k≧m).
Claim 4
Dependent Claim
63 words
A method of measuring refractive index profile of a cylinder as set forth in claim 1, wherein said mathematical function is in a form of n being refractive index, no being refractive index at the longitudinal axis of the cylinder, r being distance from an arbitrary point in the cylinder to said longitudinal axis of the cylinder, and g being a focusing constant.
Claim 5
Dependent Claim
66 words
A method of measuring refractive index profile of a cylinder as set forth in claim 1, wherein the method further comprises steps of shifting said plane in the longitudinal direction of the cylinder while keeping the plane perpendicular to said longitudinal axis, and determining a refractive index profile on the thus moved plane, whereby refractive index profile in the longitudinal direction of the cylinder is measured.
Claim 6
Dependent Claim
66 words
A method of measuring refractive index profile of a cylinder as set forth in claim 2, wherein the method further comprises steps of shifting said plane in the longitudinal direction of the cylinder while keeping the plane perpendicular to said longitudinal axis, and determining a refractive index profile on the thus moved plane, whereby refractive index profile in the longitudinal direction of the cylinder is measured.
Claim 7
Dependent Claim
66 words
A method of measuring refractive index profile of a cylinder as set forth in claim 3, wherein the method further comprises steps of shifting said plane in the longitudinal direction of the cylinder while keeping the plane perpendicular to said longitudinal axis, and determining a refractive index profile on the thus moved plane, whereby refractive index profile in the longitudinal direction of the cylinder is measured.
References Cited (Backward Citations)
No citation records indexed.
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