A Design Method for Illumination Optical System with Freeform Surface
A lighting optical system and design method technology, applied in optics, optical components, instruments, etc., can solve the problems of low design efficiency, difficulty, poor stability, etc.
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specific Embodiment approach 1
[0049] Specific implementation mode 1. Combination Figure 1 to Figure 6 Describe this embodiment, a design method of a free-form surface illumination optical system, the specific process is:
[0050] 1. According to figure 1 The overall system layout shown, using a new coordinate mapping relationship to replace formula (1), the expression is:
[0051] tx=ρ’ u ,ty=ρ’ v (6)
[0052] In the formula: ρ' is the virtual free-form surface parameter, ρ' u ,ρ' v represent the first-order partial derivatives of ρ' to u and v, respectively;
[0053] (2) According to the coordinate mapping relationship provided by equation (6), combined with the energy conservation equation (2), a new equation can be obtained
[0054] I(u,v)=L(tx,ty)|J'(tx,ty)| (7)
[0055] In the formula: J'(tx,ty)-formula (6) mapping relationship tx=ρ' u ,ty=ρ' v The Jacobin matrix.
[0056] (3) The virtual free-form surface needs to satisfy the boundary conditions while satisfying the energy equation of fo...
specific Embodiment approach 2
[0062] Specific embodiment 2. Combination Figure 2 to Figure 6 Describe this embodiment, which is an example of the design method for a free-form surface illumination optical system described in Embodiment 1:
[0063] The free-form surface illumination optical system adopts such as figure 2 The optical system shown, in which the Lambertian LED light source is located at the origin of the coordinate system, and the luminous intensity of the light source along the optical axis is set to be 1. The light emitted by the light source is reflected by the free-form surface to form an irradiance distribution in the shape of a letter A at 600mm in the z-axis direction of the system, and the intensity ratio between the letter A and the background is 2:1. The overall optical system is normalized by taking the distance from the light source to the target surface as 1, the light source is projected through a spherical surface, and the 0 area forms a A square area of in which the c...
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