METHOD FOR SIMULATING THE OPTICAL POWER OF A LAMINATED GLASS
20210089690 ยท 2021-03-25
Inventors
Cpc classification
B32B2307/40
PERFORMING OPERATIONS; TRANSPORTING
G01N2021/8883
PHYSICS
B32B17/10036
PERFORMING OPERATIONS; TRANSPORTING
G02B27/0012
PHYSICS
G01N21/958
PHYSICS
International classification
G01N21/958
PHYSICS
Abstract
A simulation method, implemented by computer, simulates the optical power of a laminated glass of given shape liable to be obtained by laminating at least two glass sheets and at least one lamination interlayer, the laminated glass being liable to have an edge, a first main face, and a second main face. The method is suitable for determining a minimum value of optical quality index which a combination of glass sheets must satisfy so as to form a laminated glass of given shape with a given optical quality constraint.
Claims
1. A simulation method, implemented by computer, for simulating the optical power of a laminated glass of given shape to be obtained by laminating at least two glass sheets and at least one lamination interlayer, said laminated glass to have an edge, a first main face, and a second main face, and said method comprising the following steps: a1. geometric modeling of a first surface to correspond to the first main face of the laminated glass on the basis of a numerical model of the shape of said laminated glass so as to form a first modeled surface; b1. geometric modeling of a second surface obtained by translation of the surface modeled in step (a1) along a direction of smallest dimension of the laminated glass by a distance corresponding to the thickness of the laminated glass, and along a direction of one of the two larger dimensions of the laminated glass by a defined distance , a ratio of the distance over the largest dimension of the laminated glass being greater than 0 and less than or equal to 0.01, and said geometric modeling of the second surface providing a second modeled surface; c1. calculating the geometric offset , at each of the points of the modeled surfaces, by subtraction of the first modeled surface and of the second modeled surface; d1. calculating the geometric thickness , at each of the points of the modeled surfaces, by addition of the distance and of the geometric offset ; e1. calculating the topological thickness , at each of the points of the modeled surfaces, by subtraction of the topographic profiles of the surfaces of the glass sheets to correspond to the first main face and second main face of the laminated glass; f1. calculating the optical power PO, at each of the points of the modeled surfaces, on the basis of the value of the Laplacian of the sum of the geometric thickness and topological thickness .
2. The simulation method as claimed in claim 1, wherein the geometric thickness and topological thickness are each weighted by an optical amplification factor dependent on the angle, , formed between the direction normal to the first surface and a reference direction of observation of the laminated glass.
3. The simulation method as claimed in claim 1, wherein the topographic profiles of the surfaces of glass sheets to correspond to the first main face and to the second main face of the laminated glass are profiles measured by profilometric methods with or without contact.
4. The simulation method as claimed in claim 1, wherein the topographic profiles of the surfaces of glass sheets to correspond to the first main face and to the second main face of the laminated glass are numerically simulated profiles.
5. The simulation method as claimed in claim 1, further comprising, after step (f1) a step of determining an optical fluctuation index on the basis of the values of the optical powers PO obtained at each of the points of the modeled surfaces.
6. The simulation method as claimed in claim 5, wherein the optical fluctuation index is the standard deviation of the values of the optical powers PO or to the maximum value of the optical powers.
7. The simulation method as claimed in claim 5, wherein the optical fluctuation index is the maximum value of a set of values corresponding to the differences between the maximum and minimum values of the optical powers PO in a sliding sampling window.
8. The simulation method as claimed in claim 7, wherein the sliding sampling window is a square or rectangular sampling window whose lateral dimensions lie between 2 mm and 100 mm.
9. The simulation method as claimed in claim 5, wherein the determination of the optical fluctuation index is carried out in a limited region of the modeled surfaces.
10. The simulation method as claimed in claim 9, wherein the limited region of the laminated glass is the region delimited by the intersection of the main faces of said laminated glass with a square-based pyramid whose apex is situated at a defined distance from the main faces and the two angles at the vertex between the opposing lateral faces of said pyramid lie respectively between 10 and 20, and between 5 and 15.
11. A determination method, implemented by computer, for determining an interval of optical quality indices required for a combination of glass sheets to form a laminated glass of given shape to be obtained by laminating at least two glass sheets and at least one lamination interlayer, said laminated glass having a given optical quality constraint, , and said method comprising the following steps: a2. selecting a combination of glass sheets from among a set of glass sheets with which are associated at least one identifier, a topographic profile and an optical quality index; b2. calculating the optical quality index of the combination of glass sheets on the basis of the optical quality indices of the two glass sheets of the combination, one of the surfaces of each of said two glass sheets to correspond respectively to the first main face or to the second main face of the laminated glass; c2. determining an optical fluctuation index of a laminated glass to comprise the combination of the glass sheets with the aid of a simulation method as claimed in claim 5; d2. repeating steps (a2) to (c2) with a new combination of glass sheets so as to obtain a set of values of optical fluctuation indices for the various possible combinations; e2. comparing the values of the optical fluctuation indices, , with the value of the optical quality constraint ; f2. selecting the interval of the optical quality indices of the combinations of the glass sheets satisfying the result of the comparison of step (e2).
12. The method as claimed in claim 11, wherein the optical quality index of the combinations of the glass sheets is the root mean square of the mean optical quality indices of the two glass sheets of the combination, one of whose surfaces is to correspond respectively to the first main face and to the second main face of the laminated glass, said mean optical quality indices being obtained by ombroscopic methods.
13. A computer program comprising instructions executable by a computer allowing the execution of the steps of a method as claimed in claim 1.
14. A non-transitory storage medium decipherable by a computer comprising a computer program comprising instructions executable by a computer allowing the execution of the steps of a method as claimed in claim 1.
15. A data processing system comprising circuitry for implementing the steps of a method as claimed in claim 1.
16. A procedure for manufacturing a laminated glass comprising at least two glass sheets and at least interlayer, said laminated glass of given shape having an edge, a first main face and a second main face, said laminated glass having a given optical quality constraint, , said procedure comprises the following steps: a. selecting, implemented by computer, a combination of glass sheets from among a set of glass sheets with which are associated at least one identifier, a topographic profile and an optical quality index, said combination of glass sheets to form said laminated glass; b. calculating, implemented by computer, the optical quality index of the combination of glass sheets on the basis of the optical quality indices of the two glass sheets of the combination, one of the surfaces of each of said two glass sheets to correspond respectively to the first main face or to the second main face of the laminated glass; c. geometric modeling, implemented by computer, of a first surface corresponding to the first main face of the laminated glass on the basis of a numerical model of said laminated glass so as to form a first modeled surface; d. geometric modeling, implemented by computer, of a second surface obtained by translation of the surface modeled in step a along the direction of smallest dimension of the laminated glass by a distance corresponding to the thickness of the laminated glass, and along the direction of one of the two larger dimensions of the laminated glass by a defined distance , the ratio of the distance over the largest dimension of the laminated glass being greater than 0 and less than or equal to 0.01, and said modeling making it possible to obtain a second modeled surface; e. calculating, implemented by computer, of the geometric offset obtained by subtraction of the first modeled surface and of the second modeled surface at each of the points of the surfaces; f. calculating, implemented by computer, of the geometric thickness by addition of the distance and of the geometric offset at each of the points of the surfaces; g. calculating, implemented by computer, of the topological thickness obtained by subtraction of the topographic profiles of the surfaces of the glass sheets to correspond to the first main face and second main face of the laminated glass at each of the points of the faces; h. calculating, implemented by computer, of the optical power PO on the basis of the value of the Laplacian of the sum of the geometric thickness and topological thickness at each of the points of the modeled surfaces; i. calculating, implemented by computer, of an optical fluctuation index corresponding to the maximum value of a set of values corresponding to the maximum values of the differences between the maximum and minimum values of the optical powers PO in a sliding sampling window; j. repeating steps (a) to (i) with a new combination of glass sheets so as to obtain a set of values of optical fluctuation indices for each possible combination; k. comparing, implemented by computer, the values of the optical fluctuation indices, , with the value of the optical quality constraint ; l. selecting, implemented by computer, the interval of the optical quality indices of the combinations of the glass sheets satisfying the result of the comparison of step (j); m. manufacturing a laminated glass comprising a combination of the glass sheets whose optical quality index lies in the interval determined in step (k).
17. The simulation method as claimed in claim 8, wherein the lateral dimensions lie between 5 mm and 50 mm.
Description
[0084] The characteristics and the advantages of the invention are illustrated by the figures hereinbelow.
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[0100] The simulation method of the invention is represented in logic chart form in
[0107] .sub.k(E) of k glass sheets chosen from among a set E of glass sheets with which are associated at least one identifier, a topographic profile and an optical quality index; [0113] f. the initialization 14005 of an iterative variable l; [0114] g. the selection E4006 of a combination c.sub.l in the set
.sub.k (E); [0115] h. the calculation E4007 of the topological thickness , at each of the points of the modeled surfaces, obtained by subtraction of the topographic profiles PT.sup.1 and PT.sup.2 of the surfaces of glass sheets liable to correspond to the first main face 1001 and to the second main face 1002 of the laminated glass liable to comprise the combination c.sub.l; [0116] i. the calculation E4008 of the optical power PO, at each of the points of the modeled surfaces, on the basis of the value of the Laplacian of the sum of the geometric thickness and topological thickness ; [0117] j. the calculation E4008 of the optical fluctuation index corresponding to the maximum value of the set of differences between the maximum and minimum values of the optical powers PO in a sliding sampling window; [0118] k. the calculation E4009 of the optical quality index
.sub.k(E); [0121] n. the selection E4012 of the interval I of the optical quality indices
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[0126] d. a comparison means 5003d for comparing the values of the optical fluctuation indices with the value of the optical quality constraint ; [0127] e. a selection means 5003e for selecting the interval of the optical quality indices of the combinations of the glass sheets satisfying the result of the comparison.
[0128] The computing infrastructure furthermore comprises a database 5003f containing for each glass sheet of a laminated glass set, an identifier, a topographic profile and an optical quality index. The computer comprises an input-output graphical interface 5002 allowing human-machine interactions.
[0129] An exemplary modeling 6000 of the shape of the laminated glass of
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EXAMPLE 1
[0137] The first example compares the values of optical power of a laminated glass with the aid of the simulation method of the invention and with the aid of the method of ray tracing, which is known from the prior art and used frequently in the technical field.
[0138] The laminated glass comprises two sheets of soda-lime glass and a lamination interlayer. Its shape and its structure are represented schematically in
[0139] The thickness of the glass sheets is 2.1 mm. The refractive index of the glass is 1.51.
[0140] Extracts of the topographic profiles PT.sup.1 and PT.sup.2 of the surfaces of the glass sheets corresponding to the first main face 1001 and to the second main face 1002 of the laminated glass respectively are represented in
[0141] The two methods have been implemented with the aid of a data processing system comprising a computer of standard performance.
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[0143] The comparison of
[0144] Comparison of
EXAMPLE 2
[0145] The second example illustrates the advantages of the simulation method of the invention when it is used in a method of an interval of optical quality indices required for a combination of glass sheets liable to form a laminated glass of given shape liable to be obtained by laminating at least two glass sheets and at least one lamination interlayer, said laminated glass having a given optical quality constraint, .
[0146] The interval of optical quality indices required for a combination of two glass sheets liable to form a laminated glass comprising two glass sheets (Glass 1 and Glass 2) and a lamination interlayer has been determined for two shapes 1 and 2 of laminated glass. The combination of two glass sheets is chosen from among a set of 10 glasses.
[0147] The optical quality index
[0148] The table hereinbelow groups together the 45 combinations evaluated. In the first row (Glass 1) and the first column (Glass 2) of the table are indicated in bold the values of the optical quality indices of each of the ten glasses. Each intersection of the rows and columns represents a combination of two glasses Glass 1 and Glass 2. The value at each intersection is the value of the quality index
TABLE-US-00001 Glass 1 9.54 11.32 12.97 14.06 15.29 16.31 18.23 19 20.14 21.86 Glass 2 9.54 11.32 10.47 12.97 11.38 12.17 14.06 12.01 12.76 13.53 15.29 12.74 13.45 14.18 14.69 16.31 13.36 14.04 14.73 15.23 15.81 18.23 14.55 15.17 15.82 16.28 16.82 17.30 19 15.03 15.64 16.27 16.71 17.25 17.71 18.62 20.14 15.76 16.34 16.94 17.37 17.88 18.33 19.21 19.58 21.86 16.87 17.41 17.97 18.38 18.86 19.29 20.13 20.48 21.02
[0149] For each combination and each of the two shapes of the laminated glass, an optical fluctuation index has been calculated. In the example, the optical fluctuation index is defined as the maximum value of a set of values corresponding to the differences between the maximum and minimum values of the optical powers in a square sliding sampling window. The lateral dimension of the sampling window is 80 mm. The calculation of the optical fluctuation indices has been carried out in a region of the laminated glass. This region is the region delimited by the intersection of the main faces of said laminated glass with a square-based pyramid whose apex is situated at a defined distance from the main faces and the two angles at the vertex between the opposing lateral faces of said pyramid lie respectively between 10 and 20, and between 5 and 15. The lateral dimensions of this region on the laminated glass are 200 mm1000 mm. The unit of is the millidiopter (mD).
[0150] The results are represented in
[0151] For shape 1, the optical quality constraint is satisfied when the value of the optical quality index
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