Innovation in Mathematics: Proceedings of the Second International Mathematica Symposium
Year:
1997
Page range:
499-506
Description
Standard optical imaging systems change their focal length by mechanical movement of lenses and lens groups along the optical axes. An alternative approach is realized in nature: many biological vision systems employ stationary flexible lenses enabling different lens power dependent of the surface shape. This paper presents an entirely Mathematica-based modelling and simulation of an innovative imaging system with a liquid-filled flexible lens design. Central issue is the investigation of the exact lens surface shape as a function of the internal liquid pressure. Therefore a new Mathematica package for Zernike-Polynomials was realized. Zernike-Polynomials allow surface data fits with an accuracy below 50 nm. Spline-Interpolation is used to parametrize Zernike-Coefficients over the entire pressure range applicable in the experiment. The lens surface is implemented in the Optica package for exact modelling of the experimental setup. Ray-tracing and additional procedures for lens performance calculations have been developed. the modelling and simulation was realized on a Pentium Pro 200 MHz platform.
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