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Measuring Spatially- and Directionally-varying Light Scattering from Biological Material

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Three-dimensional freeform reflector design with a scattering surface.

Vì C E Kronberg, Martijn J H Anthonissen, Jan H M Ten Thije Boonkkamp

Journal of the Optical Society of America. A, Optics, Image Science, and Vision

|September 14, 2023

Summary

We present a new method for designing 3D freeform reflectors with scattering surfaces. This approach uses optimal transport and integral equations to accurately model light scattering for improved optical designs.

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Area of Science:

Optical Engineering
Computational Optics
Surface Science

Background:

Designing freeform optical reflectors with scattering surfaces presents significant challenges.
Traditional methods often struggle to accurately account for the complex nature of surface scattering.
Developing robust computational tools is crucial for advancing optical system design.

Purpose of the Study:

To introduce a novel computational approach for designing three-dimensional freeform reflectors incorporating surface scattering.
To provide a framework for solving the inverse problem of reflector design with scattering effects.
To validate the proposed method through simulation.

Main Methods:

The approach utilizes optimal transport theory to model light distribution.
A Fredholm integral equation is employed to mathematically express surface scattering.
The integral equation is solved using a deconvolution-like process, transforming the problem into a specular design task.
The design process is conceptualized as a two-step procedure: scattering compensation followed by specular design.

Main Results:

The proposed method successfully models and accounts for scattering effects in freeform reflector design.
The deconvolution-based solution effectively recovers a solvable specular design problem.
Verification using a custom raytracer confirmed the accuracy of the surface scattering model and the overall approach.

Conclusions:

The developed method offers an effective way to calculate three-dimensional freeform reflectors with scattering surfaces.
This approach simplifies the complex problem of scattering by reformulating it into a standard specular design problem.
The findings pave the way for more accurate and efficient design of optical systems with scattering components.