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High-speed Continuous-wave Stimulated Brillouin Scattering Spectrometer for Material Analysis

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Evaluation of centricity of optical elements by using a point spread function.

Antonín Miks¹, Jirí Novák, Pavel Novák

¹Department of Physics, Czech Technical University, Prague, Czech Republic. miks@fsv.cvut.cz

|June 21, 2008

Summary

This study introduces a point spread function (PSF) technique for testing optical system centricity. Asymmetry in the PSF reveals optical element decentricity, enabling precise quality control and cementing process verification.

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Area of Science:

Optical Engineering
Metrology
Image Science

Background:

Accurate optical system alignment is critical for performance.
Detecting optical element decentricity is challenging with traditional methods.
Spherical aberration and coma can degrade image quality.

Purpose of the Study:

To develop a novel method for testing optical system centricity using point spread functions (PSFs).
To identify a specific object point where spherical aberration is minimal or zero for each optical element.
To enable precise detection of optical element decentricity and asymmetry.

Main Methods:

Utilizing the point spread function (PSF) to analyze optical system performance.
Identifying axial object points with zero or minimal spherical aberration.
Comparing the experimental PSF to a diffraction-limited PSF to detect asymmetry.
Deriving a formula for third-order coma coefficient caused by surface tilt.

Main Results:

A method is demonstrated to test optical element centricity by analyzing PSF asymmetry.
The PSF of an element imaging a specific axial point closely matches the diffraction-limited PSF when spherical aberration is minimal.
Asymmetry in the PSF directly indicates decentricity of the optical element.
A formula for coma coefficient due to tilt and a method for asymmetry detection are presented.

Conclusions:

The PSF-based method provides a sensitive and direct approach for testing optical element centricity.
This technique is applicable for quality control of precisely fabricated optical elements.
The method can also be employed during optical element cementing processes.
The derived formula and asymmetry detection method aid in understanding and quantifying aberrations caused by decentricity.