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Illuminance and caustic surfaces in multi-interface variable-index media. 2: Application to radial dependent

|March 18, 2010

Summary

This study introduces a method to calculate illuminance and caustic points for variable-index lenses. The procedure is effective for various lens types and ray paths, enhancing optical design capabilities.

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Area of Science:

Optics and Photonics
Optical Engineering
Computational Optics

Background:

Calculating illuminance and caustic points is crucial for optical system design.
Variable-index lenses offer advanced optical control but pose computational challenges.
Existing methods may not cover all ray types or complex lens geometries.

Purpose of the Study:

To develop a comprehensive method for calculating illuminance and caustic points.
To address the specific challenges posed by radial-dependent variable-index lenses.
To ensure the method's applicability to diverse optical surfaces and ray types.

Main Methods:

Evaluation of all necessary terms for illuminance and caustic point calculation.
Application to radial-dependent variable-index singlets.
Extension to aspheric surfaces and multiple lens systems.

Main Results:

A complete procedure for calculating illuminance and caustic points along a ray path.
The method is valid for both meridional and skew rays.
Demonstrated applicability to complex optical designs including aspheric surfaces.

Conclusions:

The developed procedure accurately calculates illuminance and caustic points for variable-index lenses.
The method provides a versatile tool for optical designers.
It supports the design of advanced optical systems with improved performance.