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Mirror surface autocovariance functions and their associated visible scattering
1Perkin-Elmer Corporation, 100 Wooster Heights Road, Danbury, Connecticut 06810, USA.
Applied Optics
|April 15, 2010
Summary
This study reveals that short-scale surface roughness (around 1 micrometer) dominates visible light scattering at angles greater than 3 degrees. Understanding these roughness scales is crucial for optical scattering and finish measurements of polished mirrors.
Area of Science:
- Optics
- Materials Science
- Surface Metrology
Background:
- Optical scattering is influenced by surface topography.
- Characterizing surface roughness is essential for high-performance optical components.
Purpose of the Study:
- To compare measured visible scattering with predictions from surface roughness data.
- To identify the contributions of different roughness scales to scattering.
- To highlight the significance of spatial frequency bandwidth in optical finish analysis.
Main Methods:
- Measurement of visible light scattering.
- Surface roughness profiling.
- Analysis of scattering contributions from different spatial frequencies.
Main Results:
- Identified two dominant surface roughness scales: short (approx. 1 micrometer) and long (30-150 micrometers).
- Short-scale roughness was found to be the sole contributor to scattering at angles > 3 degrees.
- Demonstrated the critical role of spatial frequency bandwidth limits in scattering and finish measurements.
Conclusions:
- Surface roughness characterization must consider multiple scales for accurate scattering prediction.
- Short-scale roughness is a primary factor in light scattering for highly polished surfaces at wider angles.
- Bandwidth limitations in measurement techniques significantly impact optical finish assessment.
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