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Microfabrication of Implantable Optics Integrated in a Microstructured Imaging Window for Advanced In Vivo Imaging

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Aspherical lens design.

Cristian E Gutiérrez

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

|December 11, 2013

Summary

Researchers designed a novel surface F to control radiation refraction using a lens. This surface F, based on a given surface G, can direct radiation to a specific point or direction.

Area of Science:

Optics and Photonics
Mathematical Physics

Background:

Designing optical elements for precise radiation control is crucial in various scientific fields.
Existing methods often rely on rotationally symmetric designs, limiting applications.

Purpose of the Study:

To design a refractive surface F for non-rotationally symmetric lenses.
To achieve controlled refraction of radiation towards a specific point or direction.

Main Methods:

The study involves designing a surface F based on a given surface G.
A system of first-order partial differential equations is formulated and solved.
The solution depends on the geometry of surface G and material refractive indices.

Main Results:

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A method is presented to design surface F for arbitrary surface G.

The designed surface F enables precise control over radiation refraction.

The solution is derived analytically using differential equations.

Conclusions:

The developed method provides a way to design complex, non-rotationally symmetric lenses.
This advancement can lead to new optical devices for tailored radiation manipulation.