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Modal wave-front reconstruction with Zernike polynomials and Karhunen–Loève functions

1996; Optica Publishing Group; Volume: 13; Issue: 6 Linguagem: Inglês

10.1364/josaa.13.001218

1520-8532

Guang-ming Dai,

Meteorological Phenomena and Simulations

Modal wave-front reconstruction by use of Zernike polynomials and Karhunen–Loève functions from average slope measurements with circular and annular apertures is discussed because of its practical applications in astronomy. A new error source, referred to as the remaining error, is formulated theoretically and evaluated numerically. The total reconstruction error is found to be the sum of the uncompensated wave-front residual error, the measurement error, and the remaining error. Numerical calculation shows that modal wave-front reconstruction with atmospheric Karhunen–Loève functions results in a smaller residual error than with Zernike polynomials.