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12:14
The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
Published on: August 12, 2013
Geometrical analysis of third-order aberrations for a solid immersion lens.
Matthew Lang1, Eric Aspnes, Tom D Milster
1College of Optical Sciences, University of Arizona, Tucson, Arizona 85721, USA. mattlang@gmail.com
Optics Express
|November 26, 2008
Summary
This study presents a general method for analyzing aberrations in solid-immersion lenses (SILs). It reveals critical thickness tolerances for high-index SILs and hemispheres, impacting optical system design.
Area of Science:
- Optics and Optical Engineering
- Lens Design and Aberration Theory
Background:
- Solid-immersion lenses (SILs) are crucial for sub-wavelength imaging.
- Third-order aberrations limit the performance of optical systems, including SILs.
- Previous treatments for SIL aberrations were not general across all media, thicknesses, and ray specifications.
Purpose of the Study:
- To develop a generalized treatment for calculating third-order aberrations in solid-immersion lenses.
- To perform a tolerance analysis for SILs, focusing on thickness and field of view limitations.
- To provide insights into the design constraints for high-index and hemispherical SILs.
Main Methods:
- Utilizing a polynomial power expansion of the wavefront based on spherical aberration.
- Developing a general mathematical framework applicable to any incident/lens media, thickness, and chief-ray specification.
- Conducting a detailed tolerance analysis based on the derived aberration treatment.
Main Results:
- A general method for calculating third-order aberrations in SILs is established.
- Very tight thickness tolerances are identified for high-index hyperhemisphere SILs.
- A specific thickness tolerance window, skewed below the radius of curvature, is found for hemispheres.
Conclusions:
- The generalized treatment provides a robust tool for analyzing SIL aberrations.
- Thickness tolerance is a critical parameter, especially for high-index and hemispherical SIL designs.
- Understanding these tolerances is essential for optimizing the field of view and overall performance of SIL-based systems.
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