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Systematic errors in Hadamard transform optics.

N J Sloane, M Harwit, M H Tai

|March 6, 2010

Summary

This summary is machine-generated.

This study identifies systematic errors in Hadamard transform optical instruments, such as mask issues and diffraction. It presents methods to reduce these errors, improving spectral intensity measurements.

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Area of Science:

Optical instrumentation
Spectroscopy
Metrology

Background:

Hadamard transform optical instruments are susceptible to systematic errors.
These errors can arise from various sources including mask imperfections and data loss.

Purpose of the Study:

To analyze systematic errors in Hadamard transform optical instruments.
To describe techniques for error reduction in these instruments.

Main Methods:

Analysis of systematic errors including mask movement, alignment, fabrication, missing data, and diffraction.
Mathematical modeling using matrix equations to characterize instrument behavior.

Main Results:

Identified key sources of systematic errors in Hadamard transform optical instruments.
Developed a matrix equation (eta = TWa + e) to model instrument performance and errors.

Conclusions:

Systematic errors significantly impact Hadamard transform optical instrument accuracy.
Techniques exist to mitigate these errors, enhancing the reliability of spectral intensity measurements.