Method and apparatus relating to the optical zone of an optical element

A machine readable medium storing an executable instruction for altering a surface of an aberrated optical system to create a corrective optical surface, wherein the instruction instructs the machine in producing a corrective optical surface having a meridional cross sectional profile defined by

• zi=(r2/Ri)/{1+{square root}[1−(1+ki)r2/R2]}+ai+Bir,
• where for each conic meridian, i,
• r=a radial component (mm),
• Ri=the vertex radius (mm) of meridian (i),
• ki=the conic constant of meridian (i),
• zi=the sag of meridian (i),
• ai=a piston coefficient (mm) of meridian (i), and
• Bi=a radial tilt coefficient (constant) of meridian (i), further wherein the profile extends over an optical zone radius ROZ that is greater than a measured aberration zone radius Rmeas.

A system for making an aberration correcting surface in an optical element, comprising:

• a device cooperatively engageable with the optical element which has a surface intended to be altered to provide the optical aberration correction, said device being suitable for altering the surface of the optical element upon an executable instruction;
• a control system operatively associated with the device and adapted to receive a medium including the instruction and to provide the instruction to the device for execution;
• and
• a medium including the executable instruction suitable for reading by the control system and for execution of the instruction by the device,
• wherein the instruction instructs the device to make a corrective optical surface having a meridional cross sectional profile defined by
• zi=(r2/Ri)/{1+{square root}[1−(1+ki)r2/R2]}+ai+Bir,
• where for each conic meridian, i,
• r=a radial component (mm),
• Ri=the vertex radius (mm) of meridian (i),
• ki=the conic constant of meridian (i),
• zi=the sag of meridian (i),
• ai=a piston coefficient (mm) of meridian (i), and
• Bi=a radial tilt coefficient (constant) of meridian (i),
• further wherein the profile extends over an optical zone radius ROZ that is greater than a measured aberration zone radius Rmeas.