Abstract
We address and correct errors that we found in the polynomials and figures in our paper [V. N. Mahajan and G.-m. Dai, J. Opt. Soc. Am. A 24, 2994 (2007) [CrossRef] ].
© 2012 Optical Society of America
We have found errors in some polynomials and figures in our paper [1]. The correct polynomials are listed below:
where
where and
Note that 201 in the definition of was written incorrectly as 210. The polynomial corrections also apply to Chapter 11 on “Orthonormal polynomials in wavefront analysis” in the Handbook of Optics [2].
Equations (23) and (24) are in error. They should read as
and
Section 8 should start with “Letting ”. There is a minor error in Table 16 in that the last item in the first column should be .
The interferograms and PSFs for the astigmatism and spherical aberration polynomials , , , and given in Fig. 12 are also in error. Their correct form is given here in Fig. 1. The second sentence of the caption of Fig. 5 should read “Half width of the square is .”
ACKNOWLEDGMENTS
The author gratefully acknowledges help from José A. Díaz, Robert W. Gray, and William H. Swantner for identifying the errors and helping with their corrections.
REFERENCES
1. V. N. Mahajan and G.-m. Dai, “Orthonormal polynomials in wavefront analysis: analytical solution,” J. Opt. Soc. Am. A 24, 2994–3016 (2007). [CrossRef]
2. V. N. Mahajan, “Orthonormal polynomials in wavefront analysis,” Handbook of Optics, 3rd ed., V. N. Mahajan, ed., Vol. II (McGraw Hill, 2009), pp. 11.3–11.41.
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