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An optical system includes a window, an optical corrector formed of a curved piece of a transparent material having a front surface and a back surface, and a sensor system with a sensor positioned such that the optical corrector is between the window and the sensor. At least one of the front surface

An optical system includes a window, an optical corrector formed of a curved piece of a transparent material having a front surface and a back surface, and a sensor system with a sensor positioned such that the optical corrector is between the window and the sensor. At least one of the front surface and the back surface of the optical corrector is a segment of a convex aspheric curve rotated about a center, otherwise known as a torus.

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1. An optical system, comprising:a window; an optical corrector comprising a curved piece of a transparent material having a front surface and a back surface, at least one of the front surface and the back surface having a torus shape defined in Cartesian coordinates by the relation Z(x,y)=Zprev(x,y

1. An optical system, comprising:a window; an optical corrector comprising a curved piece of a transparent material having a front surface and a back surface, at least one of the front surface and the back surface having a torus shape defined in Cartesian coordinates by the relation Z(x,y)=Zprev(x,y)+Lx(x,y)+Ly(y), whereinZprev(x,y)=cA"2/[1+(1-(kA+1)cA2"2)1/2]+dA"4+eA"6+fA"8+gA"10, "2=x2+y2, Ly(y)=C1y2/[1+(1-(C2+1)C12y2)1/2]+C3y4+C4y6+C5y8+C6y10+C7y12+C8y14, Lx(x,y)=Cxx2/[1+(1-(kx+1)Cx2x2)1/2]+C13x4+C14x6+C15x8+C16x10+C17x12+C18x14, Cx=C11+C21y+C31y2, andkxC12+C22y +C32y2, andwherein cA, kA, dA, eA, fA, gA, C1-C8, C11-C18, C21-C22, and C31-C32 are constants; anda sensor system comprising a sensor positioned such that the optical corrector is between the window and the sensor.