Corrigendum
for the book:
The Theory of the Moiré Phenomenon

In spite of all proofreading efforts, printing errors and typos still remain unavoidable. This book is no exception to this rule.

In this page we provide a list of corrections for the main typos and printing errors detected in the original edition of the book, published in March 2000 by Kluwer. These (and other) corrections have been incorporated in the second, revised edition of Vol. I, now being published by Springer.

List of corrections:

P. xi, line 6:   "cases" should be replaced by "layers".
P. 20, line 13: Eq. (2.10) should read: (*)
              T_M = T / 2|sin(alpha/2)|,
              phi_M = (theta₁ + theta₂)/2 - 90°       if alpha > 0
                          (theta₁ + theta₂)/2 + 90°       if alpha < 0.
P. 20, line 18: second part of Eq. (2.11) should read: (*)
              phi_M = theta           if T₂ > T₁
                          theta + 180°       if T₂ < T₁
P. 20, line 18:   "f₂ - f₁" should be replaced by "f₁ - f₂".
P. 32, line -4:   "Eq. (2.27)" should be replaced by "Eq. (2.26)".
P. 36, line -3:   should read "reappearance".
P. 37, line 5:   "2.5(f)" should be replaced by "2.6(f)".
P. 40, line 16:   should read "is identical".
P. 48, line 5:   delete "(or the dot size)".
P. 58, line 4:   should read "description".
P. 85, line 7 of the figure legend:   "2.8(d)-(f)" should be replaced by "2.9".
P. 94, line -3:   "Eq. (4.10)" should be replaced by "Eq. (4.11)".
P. 97, last line:   "white" should be replaced by "white or transparent".
P. 98, line 21:   "white" should be replaced by "white or transparent".
P. 101, last line:   should read "these basic vectors are perpendicular to the bisectors".
P. 102, lines 2-3:   should read "are closely perpendicular to the original screens".
P. 102, line 6:   should read "This perpendicularity of the (1,0,-1,0)-moiré with respect
              to the original screens".
P. 102, line 7:   should read "2D analog of the orientation of the (1,-1)-moiré in the
              superposition of two gratings".
P. 112, line -5:   "linear independent" should be replaced by "linearly independent".
P. 112, line -4:   "linear independent" should be replaced by "linearly independent".
P. 120, line -2:   should read "Examples 5.8 and 5.9".
P. 125, line 24:   should read "Examples 5.5-5.7".
P. 134, line 2:   "linear independent" should be replaced by "linearly independent".
P. 134, line 3:   "linear independent" should be replaced by "linearly independent".
P. 156, last formula:   the second index of the term c within the second summation should be
              "s - n₁" rather than "r - n₁".
P. 179, line 3 of Example 7.2:   replace "Eq. (7.24)" by "Eq. (7.25)".
P. 189, line 16:   "7.11" should be replaced by "7-11".
P. 189, line -15:   replace "Graphics" by "Graphic Security".
P. 234, line -14:   replace "1(a)" by "9.1(a)".
P. 250, line 23:   replace "over the x,y" by "over the x', y'".
P. 251, line 2 of Example 10.1:   replace "over the x,y" by "over the x',y'".
P. 256, second line of Footnote 5:   delete the minus sign in the equation.
P. 260, line 14:   replace "transform" by "transforms".
P. 281, lines 8, 9 and 12:   the indices of c⁽¹⁾ and c⁽²⁾ should be, respectively, "n₁,n₂" and "n₃,n₄"
              (rather than "m,n").
P. 284, Fig. 10.9(f):   delete the vertical lines passing through the black dots.
P. 284, line -9:   replace "Fig. 10.9(d)" by "Fig. 10.9(f)".
P. 296, footnote 23:   replace "Eq. (10.20)" by "Eq. (10.26)".
P. 331, line 17:   replace the arrow by "=".
P. 332, line -13:   replace the arrow by "=".
P. 337, line 12:   should read "is straightforward".
P. 337, two last lines:   the indices of c⁽¹⁾ and c⁽²⁾ should be, respectively, "n₁,n₂" and "n₃,n₄"
              (rather than "m,n").
P. 339, first line:   the indices of c⁽¹⁾ and c⁽²⁾ should be, respectively, "n₁,n₂" and "n₃,n₄"
              (rather than "m,n").
P. 341, line -16:   replace each of the arrows by "=".
P. 341, line -16:   replace "g₁(x,y)" by "(x',y')".
P. 341, line -16:   replace "g₂(x,y)" by "(x',y')".
P. 341, last line:   replace the arrow by "=".
P. 342, line 6:   replace the arrow by "=".
P. 342, two last lines before Example 10.23:   delete the commas before "+".
P. 355, lines 1-2:   these lines should read:
              "lines in Fig. 11.1, which correspond here to the (1,-1)-moiré, like in Fig. 2.5).
              Note that in general, the eye automatically selects as the most prominent moiré the
              locus of intersection points in which the density of crossing points is the greatest; in
              the case of Fig. 2.6, for example, this would be the (2,-1)-moiré.".
P. 355, line 20:   add "T₁" between "y" and "sin".
P. 404, line 18:   replace in the equation "k_i" by "n_i".
P. 436, line -3:   replace "g(x,y)" by "g(x,y)".
P. 437, line 11:   replace "g(x,y)" by "g(x,y)".
P. 442, line 1:   replace "Sec. D.8 in Appendix D" by "Sec. C.8 in Appendix C".

(*) Note that the modified version of formulas (2.10) and (2.11) takes into account the positive or negative direction of the moiré. While this distinction may seem superfluous in the simple case of cosinusoidal or binary gratings, it becomes important in more complex cases such as the superposition of sawtooth gratings or 2D dot-screens. The direction of the moiré as expressed by the modified formulas can be also easily verified by sketching a spectral vector diagram (see, for example, Figs. 2.8, 2.11 and 4.8 in the book).

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