In this paper aberrations in Alvarez–Lohmann lenses are analyzed, and a semi-analytical
strategy for compensation is derived. An x–y polynomial model is used to describe the …

Alvarez and Lohmann lenses are variable focus optical devices based on lateral shifts of two
lenses with cubic-type surfaces. I analyzed the optical performance of these types of lenses …

The Alvarez lens offers variable focal lengths through lateral shifting of two lens elements.
Imaging characteristics and alignment tolerances of the Alvarez lens are studied, and one …

We first explore the operating principle and optical performances of dioptric-power and
astigmatism-variation lens doublets based on the LW Alvarez design. These fall within the …

The optical power distribution and the symmetry of the lens components are two important
attributes that decide the ultimate lens performance and characteristics. Lens form …

As in the lens optimization process, ophthalmic lens designers have usually constructed
error functions with 0.5, 0.7, and 1.0 at only three oblique fields. This seems enough to …

Gradient-index Alvarez lenses (GALs), a new, to the best of our knowledge, type of freeform
optical component, are surveyed in this work for their unique properties in generating …

We present and characterize an optical zoom system with lateral movement of an Alvarez
freeform lens for imaging. Mathematical analysis for determining the required freeform …

We consider using the Alvarez lens concept to perform focal length change in conventional
optical systems. The Alvarez pair are a good example of freeform surfaces that are used to …

We present a comprehensive approach for the design of adjustable-focus lenses based on
the Alvarez principle. The design methodology consists of dividing the lens into two parts …