Method of initial design of a two-element double-sided telecentric optical system

Area of Science:

• Optics and Optical Engineering
• Lens Design
• Optical System Design

Background:

• Telecentric lenses are crucial for accurate measurements in imaging systems.
• Designing initial lens configurations can be complex and time-consuming.
• Existing methods may require extensive computational resources or empirical adjustments.

Purpose of the Study:

• To introduce a novel algebraic method for determining the fundamental parameters of a starting design for a two-element double-sided telecentric lens.
• To provide a systematic approach for generating initial optical designs.
• To facilitate the subsequent optimization of telecentric lens systems using specialized software.

Main Methods:

• Utilizing third-order aberration theory to derive fundamental design parameters.
• Developing an algebraic solution for the starting configuration of the telecentric lens.
• Applying the method to a specific double-sided telecentric lens example.

Main Results:

• The algebraic method successfully determines the initial parameters for the double-sided telecentric lens.
• The derived parameters provide a robust starting point for optical design software.
• The method demonstrates its efficacy through a practical design example.

Conclusions:

• The proposed algebraic method offers an efficient and reliable way to obtain initial designs for double-sided telecentric lenses.
• This approach simplifies the preliminary stages of optical system design.
• The method contributes to the advancement of lens design methodologies for metrology and machine vision applications.