Zernike aberration coefficients transformed to and from Fourier series coefficients for wavefront representation.
The set of Fourier series is discussed following some discussion of Zernike polynomials. Fourier transforms of Zernike polynomials are derived that allow for relating Fourier series expansion coefficients to Zernike polynomial expansion coefficients. With iterative Fourier reconstruction, Zernike representations of wavefront aberrations can easily be obtained from wavefront derivative measurements.
AMO Laser Vision Correction Group, Home of VISX Technology, 3400 Central Expressway, Santa Clara, California 95051, USA. george.dai@amo-inc.com
Guang-Ming
GM
Dai