Biomedical subjects

Jacob Rubinstein

Publications and source records attributed to Jacob Rubinstein.

5 recordsLinked to original sources

PubMed2007

Intensity control with a free-form lens.

A family of free-form lenses for intensity control is designed. The lens can shape an incident collimated beam with a given intensity distribution I1 into a new collimated beam with intensity distribution I2. No symmetry is assumed for the two intensity profiles. The key idea is that the lens design problem can be formulated and solved in terms of an optimization process involving a specific action functional. It is further shown that the free-form lens can be manufactured by a surfacing process using a convex tool.

Journal Article↗

PubMed2006

Wavefront sensing and reconstruction from gradient and Laplacian data measured with a Hartmann-Shack sensor.

A new wavefront sensing and reconstruction technique is presented. It is possible to measure Laplacian and gradient information of a wavefront with a Hartmann-Shack setup. By simultaneously using the Laplacian and gradient data we reconstruct the wavefront by sequentially solving two partial differential equations.

Journal Article↗

PubMed2005

Weighted Zernike expansion with applications to the optical aberration of the human eye.

We propose to use weighted Zernike functions to represent the aberrations of an eye. Methods for computing the phase of an aberrated ophthalmic wavefront in terms of weighted Zernike functions are discussed. In particular, we consider several options for integrating the phase out of its measured slopes. The weighted functions involve a free parameter. Clinical data on subjective refraction and aberration maps of individual subjects are used to determine an estimate for this parameter.

Adult↗

PubMed2004

A variational principle in optics.

We derive a new variational principle in optics. We first formulate the principle for paraxial waves and then generalize it to arbitrary waves. The new principle, unlike the Fermat principle, concerns both the phase and the intensity of the wave. In particular, the principle provides a method for finding the ray mapping between two surfaces in space from information on the wave's intensity there. We show how to apply the new principle to the problem of phase reconstruction from intensity measurements.

Journal Article↗

PubMed2003

Differential relations for the imaging coefficients of asymmetric systems.

We consider imaging properties embedded in the point eikonal for first-order asymmetric optical systems. We provide geometrical interpretations for the coefficients of the eikonal functions and proceed to show that there exist differential relations between them. The differentials are computed with respect to the position of the reference planes in the object or image spaces.

Journal Article↗