Three-element optical system with a given fixed position of optical center

Area of Science:

• Optical Engineering
• System Design

Background:

• Traditional optical systems often have variable optical center positions.
• Achieving a fixed optical center is crucial for specific imaging applications.

Purpose of the Study:

• To theoretically analyze a three-element optical system with a fixed optical center.
• To derive formulas for calculating paraxial parameters of such systems.

Main Methods:

• Detailed theoretical analysis of a three-element optical system.
• Derivation of formulas for paraxial parameter calculation.
• Application of derived formulas through examples.

Main Results:

• Formulas for calculating paraxial parameters of optical systems with a constant optical center position are derived.
• A subset of optical systems with zero principal plane separation and corrected Petzval sum is identified.
• The axial position of the optical center is maintained regardless of object distance.

Conclusions:

• The analyzed optical system offers a constant optical center position, advantageous for specific applications.
• This work contributes to the understanding of optical systems with a stable optical center.