JPH0835909A - Evaluation simulation method for aspheric lens - Google Patents

Abstract

PURPOSE:To provide an evaluation simulation method, of an aspheric lens, in which data on an arbitrary shape can be obtained by an operation to one model and in which a computation amount can be reduced remarkably. CONSTITUTION:In a simulation which evaluates the deviation amount of an aspheric lens, the lens is modeled by a solid model, a coordinate transformation which is required for the simulation is performed by the solid model, and coordinates of a point on a face are acquired. Alternatively, in a simulation which evaluates the deviation amount of an aspheric lens, the lens is modeled by a solid model, only information which is required for the simulation is owned jointly by a negative function, a parameter function or the like, a face-coating coordinate transformation or the like on a display is performed by the solid model, a change point in the solid model is updated to face information when the face information is acquired, and information which is required for the simulation is acquired. In addition, in a simulation which evaluates the curved surface of an aspheric lens, information on the cross section of the lens is acquired by the solid model.

Description

Detailed Description of the Invention

[0001]

FIELD OF THE INVENTION This invention relates to simulations for evaluating aspherical lenses.

[0002]

2. Description of the Related Art When an optical lens is manufactured, a slight deviation of the lens shape causes a problem such as a shift of an optical axis, which makes it difficult to obtain a desired function. It is necessary to measure whether the configuration is as designed. For example, as shown in FIG. 6, in the lens of the optical axis rotating object, the cross section in the plane including the optical axis may be evaluated, but as shown in FIG. 7, the setting between the lens measuring device and the lens is performed. An error occurs and it is practically difficult to remove this setting error. Therefore, in order to analyze the relationship between the setting error and the measurement result, that is, as a method for evaluating an aspherical lens, each data of the aspherical lens is conventionally input to a computer or the like, and an aspherical expression (implicit function), etc. The information required for the simulation was obtained from.

However, in the conventionally used simulation, only the information on the necessary surface is given, and when the three-dimensional display such as the inclination of the lens is performed or the three-dimensional confirmation is performed, another model is used. Was needed.
Therefore, there is a problem that the data used for display, coordinate conversion, deviation simulation, and the like requires operations on a plurality of models, and the amount of calculation increases.

[0004]

SUMMARY OF THE INVENTION The present invention has been made in order to eliminate such conventional problems, and it is possible to obtain data of an arbitrary shape by an operation on one model and to significantly reduce the amount of calculation. It is an object of the present invention to provide an evaluation simulation method for an aspherical lens that can be used.

[0005]

In order to achieve such an object, the first feature of the present invention is that a lens is modeled by a solid model in a simulation for evaluating the deviation amount of an aspherical lens, and the solid model is required for the simulation. It is characterized in that the coordinates of points on the surface are acquired by performing coordinate conversion and the like. The second feature of the present invention is that in a simulation for evaluating the deviation amount of an aspherical lens, the lens is modeled by a solid model, and only the information necessary for the simulation is combined with an implicit function, a parameter function, etc. The conversion is performed by a solid model, and when the surface information is acquired, the changes in the solid model are updated to the surface information, and the information required for the simulation is acquired. The third feature of the present invention is that in the simulation for evaluating the curved surface of the aspherical lens, the information on the lens cross section is acquired from the solid model.

According to the first feature described above, the data required for the deviation simulation can be obtained from the solid model, and since the lens data is a complete solid model, the data of any shape can be obtained from one database. Obtainable. According to the second feature, by including both the solid model and the curved surface function in the database, the operation required for the simulation can be easily performed by the solid model and the result can be easily obtained. The amount of calculation for obtaining the data from the curved surface can be reduced. According to a third aspect of the invention,
Since the data required for curved surface evaluation can be obtained from the solid model, the data is a complete solid model, and the cross-sectional position required for curved surface evaluation can be easily set, calculated, and displayed by general operation of the solid model. Is possible.

[0007]

DESCRIPTION OF THE PREFERRED EMBODIMENTS The aspherical lens evaluation simulation method according to the present invention will be described in detail below with reference to the embodiments shown in the drawings. FIGS. 1A, 1B, and 1C are diagrams showing a deviation simulation process according to the present invention. First, a solid model of an aspherical lens, which is an object to be inspected, is created, and then, Coordinate conversion is performed as shown in (b), and the position of the model in a certain coordinate system is moved. The reason why the solid model having a three-dimensional shape is created and the position of the solid model is subjected to coordinate conversion is to intuitively grasp the spatial position of the lens. By grasping the spatial position in this way, The posture of the lens placed on the lens mounting portion of the measuring instrument can be easily assumed.

Next, as shown in (c), the coordinates (x, y, z) of an arbitrary point on the surface are obtained, and the geometric data is obtained. The geometrical data obtained here differs depending on the use of the evaluation simulation, but for example,
Data in the area normal direction can also be obtained from the solid model. That is, when the number of points of the coordinates to be acquired increases, the amount of calculation by the solid model increases almost linearly, but if the calculation of the points is calculated from the curved surface function formula, the processing time can be significantly shortened. In this way, the geometric data obtained from the solid modeling is regarded as the actual measurement result, and the shape is evaluated, that is, the actual shape of the lens is created as designed by predicting the error range by comparing with the measured value. It is possible to judge whether or not there is.

FIG. 2 is a diagram showing the procedure of the deviation simulation according to the present invention, in which 10 is a solid modeling step, 20 is a coordinate conversion step, 30 is a geometric data acquisition step, and 40 is a deviation amount analysis step. In the solid modeling step 10, the aspherical lens is modeled, and the modeling information is converted to the coordinate conversion step 20 in the next stage.
In the coordinate conversion step 20, the conditions for parallel and rotational movement of the lens are obtained by coordinate conversion with respect to the solid model. Since the data is a solid model at this stage, three-dimensional display can be easily performed, and after the conditions are determined, the geometric data of the lens is calculated and acquired in the geometric data acquisition step 30.

Here, as the geometric data of the lens, for example, a point on the surface or a point inside the lens can be arbitrarily obtained. As a method of calculating the geometric data, for example, a vertex is generated at a desired point position by a set operation. May be. The data calculated in this way is supplied to the deviation amount analysis step 40, and the processing required for the deviation amount analysis is performed. That is, according to the method of obtaining the data necessary for the deviation simulation from the solid model, since the lens data is a complete solid model, it is possible to obtain any shape data from one database.

Next, the curved surface evaluation simulation will be described with reference to FIG. In the figure, 10 is a solid modeling step, 50 is a cross-section position designation step, 6
0 is a cross-section data acquisition step, and 70 is a curved surface evaluation analysis step. First, after performing solid modeling in the same manner as the solid modeling step of FIG. 1, in the cross-section position designation step 50, the position of the curved surface evaluation cross section is designated. Here, when the set operation is used to acquire the cross-section data, the cross-section position only needs to be specified by the position of the solid to be subtracted. Next, after the cross-section position is determined,
In the cross-section data acquisition step, a cross-section is generated by, for example, a set operation, and the cross-section data to be acquired may be a sequence of points or a curve expression depending on the processing in the curved surface evaluation analysis step 70 in the subsequent stage. In the curved surface evaluation analysis step 70, the acquired cross-section data is received and the curved surface evaluation is analyzed. The cross-sectional position used for curved surface evaluation is, for example, the surface with respect to the surface on which the lens is present as shown in FIG. 4, and this can be specified at various angles with respect to the lens.

Next, the configuration of the simulation having both the solid model and the curved surface data will be described with reference to FIG. The same parts as those in FIGS. 1 and 2 are designated by the same reference numerals, and the description thereof will be omitted. In the figure, 80 is a curved surface function / constraint condition, and 90 is a geometric data acquisition step. First, in the same manner as that shown in FIGS. 1 and 2, in the solid model step 10, the lens is modeled by the solid modeler, and information about the target curved surface is given to the curved surface function / constraint 80.

Coordinate conversion for simulation is performed in the coordinate conversion step 20, and geometric data is calculated in the geometric data acquisition step. At this time, the curved surface from which the geometric data is obtained corresponds to the function / constraint condition of the curved surface. If, then the geometric data is calculated from the equation of the curved surface without using the data obtained from the solid model. Here, as an example of obtaining geometric data from a function of a curved surface, it is conceivable to solve an implicit function by a convergence method. The geometric data thus obtained is formatted and output in a format suitable for the deviation amount analysis unit 40, and the deviation amount of the aspherical lens is analyzed. That is, by using the surface function given in advance, the geometric data is acquired without using the data of the solid model, so that the amount of calculation for obtaining the data of the target surface can be significantly reduced.

[0014]

As described above, the lens data is a complete individual model when the method for obtaining the data necessary for the deviation simulation from the solid model is used.
Arbitrary shape data can be obtained from one database. Moreover, in the method of obtaining the data required for the deviation simulation from the database having both the solid model and the surface function, the operation required for the simulation and the result can be easily performed by the solid model.
The amount of calculation for obtaining data from the target curved surface can be reduced by the curved surface function. Furthermore, according to the method of obtaining the data required for curved surface evaluation from the solid model, the data is a complete individual model, and the cross-sectional position required for curved surface evaluation can be easily set, calculated, and displayed by general operation of the solid model. can do.

[Brief description of drawings]

1A is a diagram showing a deviation simulation process according to the present invention, FIG. 1B is a diagram showing a deviation simulation process according to the present invention, and FIG. 1C is a deviation simulation process according to the present invention. The figure which showed.

FIG. 2 is a diagram showing a configuration of a deviation simulation according to the present invention.

FIG. 3 is a diagram showing a curved surface evaluation simulation according to the present invention.

FIG. 4 is a diagram showing an example of a cross-sectional position used for curved surface evaluation according to the present invention.

FIG. 5 is a diagram showing a configuration of a simulation having both a solid model and curved surface data according to the present invention.

FIG. 6 is a diagram for explaining evaluation of a lens of an optical axis rotating object.

FIG. 7 is a diagram for explaining a setting error between a lens measuring device and a lens.

[Explanation of symbols]

10 ... Solid modeling step, 20 ...
-Coordinate conversion step, 30 ... Geometric data acquisition step, 40 ... Deviation amount analysis step, 50 ...
Cross-section position designation step, 60 ... Cross-section data acquisition step, 70 ... Curved surface analysis step,
80: curved surface function / constraint 90: geometric data acquisition step

Claims (3)

[Claims] 1. In a simulation for evaluating the deviation amount of an aspherical lens, the lens is modeled by a solid model, the coordinate transformation required for the simulation is performed by the solid model, and the coordinates of points on the surface are acquired. Deviation simulation method. 2. In a simulation for evaluating the deviation amount of an aspherical lens, the lens is modeled by a solid model, and only the information necessary for the simulation is combined with an implicit function, a parameter function, etc. A deviation simulation method characterized in that a solid model is used, and when the surface information is acquired, the changes in the solid model are updated to the surface information and the information necessary for the simulation is acquired. 3. A curved surface evaluation simulation method characterized in that in a simulation for evaluating a curved surface of an aspherical lens, information on a lens cross section is acquired from a solid model.