Conditions under which two-element variable power lenses can be created. Part 2. Application to specific designs.

Area of Science:

• Optics
• Optical Engineering

Background:

• Part 1 of this paper established that only quadratic optical effects are achievable with laterally translating two-element variable power lenses.
• The study of rotationally translating lenses requires mapping Cartesian designs to polar coordinates.

Purpose of the Study:

• To investigate the feasibility of creating true variable power optical effects using rotationally translating two-element lenses.
• To analyze existing and theoretical designs for rotational variable power lenses.

Main Methods:

• Mapping laterally translating lens designs from Cartesian space to polar coordinate space.
• Examining manufactured and theoretical designs of rotationally translating two-element lenses.

Main Results:

• Identified specific designs that achieve true variable power optical effects through rotational translation.
• Demonstrated the relationship between lateral translation designs and their rotational counterparts.

Conclusions:

• Rotationally translating two-element lenses offer a viable method for achieving true variable power optical effects.
• The mapping technique provides a framework for designing and analyzing such optical systems.