D. J. Schroeder, Astronomical Optics (Academic, New York, 1987), Chap. 14.A comprehensive treatment of gratings is given in this book. However, the aberration function given by Eq. (14.2.1) is for a reflection grating, although Figure 14.1 is for a transmission grating. The correct expression for a transmission grating is obtained if the sign of the first term in each square bracket is made minus [D. J. Schroeder, Professor Emeritus, Department of Physics and Astronomy, Beloit College, Beloit, Wisconsin 53511 (personal communication, 2000)].

W. T. Welford, “Aberration theory of gratings and grating mountings,” in Progress in Optics, E. Wolf, ed. (North-Holland, Amsterdam, 1965), Vol. IV, Chap. 6.

A. Sommerfeld, Optics (Academic, New York, 1972), Vol. 4, pp. 199–201; substitute Eq. (8) on p. 201 into Eq. (6) on p. 199.

J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968), pp. 43–44; substitute Eq. (3-23) on p. 44 into Eq. (3-15) on p. 43.

V. N. Mahajan, Optical Imaging and Aberrations. Part I: Ray Geometrical Optics (SPIE, Bellingham, Wash., 1998), Sec. 5.2.

V. N. Mahajan, Optical Imaging and Aberrations. Part I: Ray Geometrical Optics (SPIE, Bellingham, Wash., 1998), Sec. 3.2.

V. N. Mahajan, “Comparison of geometrical and diffraction point-spread functions,” in International Conference on Optics and Optoelectronics ’98, K. Singh, O. P. Nijhawan, A. K. Gupta, A. K. Musla, eds., Proc. SPIE3729, 434–445 (1998).

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