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Mathematics of Zernike polynomials: a review
Colm McAlinden1, Mark McCartney, Jonathan Moore
1School of Biomedical Sciences, University of Ulster, Coleraine, UK. colm.mcalinden@gmail.com
Clinical & Experimental Ophthalmology
|November 5, 2011
Summary
This review details monochromatic aberrations in the eye, focusing on Zernike polynomial analysis. Aberrometers are crucial for understanding these aberrations, with applications extending beyond refractive surgery to various ophthalmology fields.
Area of Science:
- Ophthalmology and optical science.
Background:
- Monochromatic aberrations primarily stem from the cornea and crystalline lens.
- Aberrometers analyze either the reflected wavefront or an image on the retina.
Purpose of the Study:
- To review the principles and mathematical aspects of monochromatic aberrations and their measurement.
- To explore the expanding clinical applications of aberrometers in ophthalmology.
Main Methods:
- Analysis of wavefront or retinal image using aberrometers.
- Description of Zernike polynomials for aberration fitting.
- Review of mathematical principles behind Zernike expansion.
Main Results:
- Aberrations are classified as lower or higher order.
- Zernike polynomials are the standard method for fitting aberration data.
- Aberrometers have diverse applications in ophthalmology.
Conclusions:
- Aberrometers are essential tools for quantifying ocular aberrations.
- Clinical uses of aberrometers have expanded significantly beyond refractive surgery.
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