METHOD FOR DESIGNING A REFRACTIVE OR REFLECTIVE OPTICAL SYSTEM AND METHOD FOR DESIGNING A DIFFRACTION OPTICAL ELEMENT
First Claim
1. Method of designing a lens and optical system, comprising the steps of:
- deriving a non-error allotted merit function E0 for a state S0 which yields no error for prescribed parameters defining the lens system or the optical system;
deriving an error allotted merit function E1, E2, . . . for states S1, S2, . . . which import errors to one or more than one parameter;
calculating an integrated merit function E=w0E0+w1E1+w2E2+ . . . =Σ
wkEk by multiplying weights wk by the merit functions Ek and summing up the weighted merit functions;
minimizing the integrated merit function by changing values of the parameters; and
determining a set of the parameters which minimize the integrated merit function.
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Abstract
In the design of a lens system, lens parameters are determined by minimizing a merit function which is a sum of squares of ray aberrations or wavefront errors at many sampling points. Prior methods often select the parameters which give very narrow tolerances to production errors. The small tolerance increases the difficulty of production. In order to increase the tolerance, states which allot errors ±δ to some chosen parameters are considered. Merit functions corresponding the error-allotted states are made. An integrated merit function is produced by adding the error-allotted merit functions to the non-error allotted normal merit function. Parameters are determined by minimizing the integrated merit function. The optimized parameters will give wider tolerances for the error-allotted parameters.
DOE (diffraction optical element) design includes the steps of considering error-allotted states S1, S2, . . . in addition to a non-error state S0, making merit functions E1, E2, . . . for S1, S2, . . . besides E0 for S0, defining an integrated merit function E=ΣWkEk by multiplying the merit function with weights and summing up, minimizing the integrated merit function and determining optimum variables for the DOE.
13 Citations
7 Claims
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1. Method of designing a lens and optical system, comprising the steps of:
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deriving a non-error allotted merit function E0 for a state S0 which yields no error for prescribed parameters defining the lens system or the optical system;
deriving an error allotted merit function E1, E2, . . . for states S1, S2, . . . which import errors to one or more than one parameter;
calculating an integrated merit function E=w0E0+w1E1+w2E2+ . . . =Σ
wkEk by multiplying weights wk by the merit functions Ek and summing up the weighted merit functions;
minimizing the integrated merit function by changing values of the parameters; and
determining a set of the parameters which minimize the integrated merit function.
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2. Method of designing a diffractive optical element, comprising the steps of:
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defining a non-error state S0 and error-allotted states S1, S2, . . . ;
deriving a merit function E0 of the non-error state S0 and merit functions E1, E2, . . . of the error-allotted states S1, S2, . . . ;
multiplying the merit functions E0, E1, E2, . . . by weights w0, w1, W2, . . . ;
calculating an integrated merit function E=w0E0+w1E1+w2E2 . . . by summing up products w0E0, w1E1, w2E2, . . . ;
minimizing the integrated merit function; and
determining optimum variables for the diffractive optical element. - View Dependent Claims (3, 4, 5, 6, 7)
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Specification
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- Resources
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Current AssigneeSumitomo Electric Industries Limited (Sumitomo Corporation)
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Original AssigneeSumitomo Electric Industries Limited (Sumitomo Corporation)
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InventorsFUSE, KEIJI
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Granted Patent
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Time in Patent OfficeDays
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Field of Search
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US Class Current703/6
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CPC Class CodesG02B 13/14 for use with infrared or ul...G02B 13/18 with lenses having one or m...G02B 27/0012 Optical design, e.g. proced...G02B 5/1847 Manufacturing methods
