A progressive multifocal ophthalmic lens with optimized center of curvature and preparation method thereof
A progressive multi-focus, center of curvature technology, applied in glasses/goggles, optical components, instruments, etc., can solve problems such as unfavorable astigmatism, and achieve the effect of improving optical performance and wearing comfort.
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Embodiment 1
[0116] In this embodiment, an internal progressive multifocal lens with an addition power of 2 diopters is designed according to the needs of the spectacle wearer. The refractive index of the lens material is 1.532, and the lens diameter The designed focal power of the inner surface distance zone Φ PA It is -4 diopters; the focal power of the near zone is Φ PB is -2 diopters.
[0117] According to the contour line design method disclosed in Chinese invention CN103246080A, the contour line distribution u(x, y) is obtained, the values of h, L, m, and l are taken as 30, 12, 9 and 6 respectively, and the grid point step size is 3mm. Substituting u(x, y) into formula (1) and formula (4) to obtain R, ξ, η, ζ, wherein η=0, substituting R, ξ, η, ζ into formula (3) to obtain progressive multifocal ophthalmic The initial sagittal height of the lens.
[0118] Using the central difference method to find the first and second partial derivatives of z: Substitute and solve the bina...
Embodiment 2
[0125] The initially designed lenses in this example are exactly the same as those in Example 1. Substituting u (x, y) into formula (1) and formula (4) to obtain ζ, R, ξ, η, wherein η=0, substituting ζ, R, ξ, η into formula (3) to obtain progressive multifocal ophthalmic The initial sagittal height z of the lens.
[0126] The optimization function (2) is used for optimization.
[0127] The central difference method is used to calculate the first and second partial derivatives and third partial derivatives of the initial design R, ζ and ξ, respectively, to obtain
[0128] Substituting the above quantities into formula (16) to obtain the expression F of the square of the principal curvature difference (2) , the F (2) Substitute into formula (28) to get about c 1 、c 2 system of binary nonlinear equations. set c 1 、c 2 Initially they are all zero, and the root of the nonlinear equation system formula (28) is c 10 = 0.0813 and c 20 =-0.0007, after trying, take the adj...
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