Lens systems: aplanatic anastigmatic two and three element.

Area of Science:

• Optical Engineering
• Aberration Theory

Background:

• Chromatic aberration correction is not always necessary in specific optical applications, such as thermal imaging.
• Understanding higher-order aberrations is key for advanced optical system design.

Purpose of the Study:

• To compare different forms of aplanatic doublets regarding high-order aberrations.
• To develop a method for generating aplanatic anastigmatic two-element aspheric systems.
• To extend this method to three-element systems.

Main Methods:

• A set of equations was derived to generate aplanatic anastigmatic two-element single aspheric systems.
• The method allows for specified lens separation and back focus.
• The approach was applied to Petzval, telephoto, and inverse telephoto systems.

Main Results:

• The described equations successfully generate aplanatic anastigmatic systems.
• The method is applicable to various optical system configurations, including germanium-based designs.
• This provides a systematic approach to designing complex lens systems with specific aberration correction.

Conclusions:

• The developed method offers a robust way to design two- and three-element optical systems with excellent aberration control.
• These systems are suitable for demanding optical applications where high image quality is paramount.
• The findings contribute to the advancement of optical design methodologies.