DEFORMABLE MIRROR Russian patent published in 2015 - IPC G02B5/10 

FIELD: physics, optics.

SUBSTANCE: invention relates to optical instrument-making, particularly deformable mirrors. The deformable mirror includes an elastic plate with a reflecting front surface and a variable-thickness profile of the back surface, attached on the periphery to a chassis, as well as deformation means linked to the centre of the plate. The thickness profile of the plate satisfies the expression: $$\frac{dy}{dx}=\frac{32\frac{c^2}{a^2}-n^2(n-2)x^{n-3}{(\alpha +\beta \sin y)}^3}{3n(n-1+\nu )\beta \cos y{(\alpha +\beta \sin y)}^2{x}^{n-1}},$$ where ν is Poisson's ratio; $$a$$ - is the diameter of the deformable mirror; c is the diameter of the deformation means in contact with its back surface; $$x=\frac{r}{a},$$ where r is the current coordinate along the surface of the deformable mirror; n is a given constant 1≤n≤20; $$\beta =\mathrm{0,5}\frac{h_{\min }-h_{\max }}{h_{\max }},$$ $$\alpha =\mathrm{0,5}\frac{h_{\min }+h_{\max }}{h_{\max }},$$ where h_min, h_max denote the minimum and maximum thickness of the profile of the back surface of the plate, determined structurally; $$y=\arcsin \left[\frac{h(x)}{h_{\max }\beta }-\frac{\alpha }{\beta }\right],$$ where h(x) is the current thickness of the profile of the plate.

EFFECT: high accuracy of aberration compensation.

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