G. Rasigni, F. Varnier, M. Rasigni, J. P. Palmari, and A. Llebaria, "Autocovariance functions, root-mean-square roughness height, and autocovariance length for rough deposits of copper, silver and gold," Phys. Rev. B 25, 2315–2323 (1982).

F. Varnier, M. Rasigni, G. Rasigni, J. P. Palmari, and A. Llebaria, "Height and slope distributions for surfaces of rough metallic deposits," Appl. Opt. 21, 3681–3684 (1982).

P. Bousquet, F. Flory, and P. Roche, "Scattering from multilayer thin films: theory and experiment," J. Opt. Soc. Am. 71, 1115–1123 (1981).

M. Rasigni, G. Rasigni, J. P'. Palmari, and A. Llebaria, "Study of surface roughness using a microdensitometer analysis of electron micrographs of surface replicas: I. Surface profiles," J. Opt. Soc. Am. 71, 1124–1133 (1981).

M. Rasigni, G. Rasigni, J. P. Palmari, and A. Llebaria, "Study of surface roughness using a microdensitometer analysis of electron micrographs of surface replicas: II. Autocovariance functions," J. Opt. Soc. Am. 71, 1230–1237 (1981).

J. M. Bennett and J. H. Dancy, "Stylus profiling instrument for measuring statistical properties of smooth optical surfaces," Appl. Opt. 20, 1785–1802 (1981).

M. Rasigni, F. Varnier, G. Rasigni, J. P. Palmari, and A. Llebaria, "Validity of surface-roughness study using microdensitometer analysis of electron micrographs of surface replicas," J. Opt. Soc. Am. 71, 1549–1550 (1981).

J. M. Elson, J. P. Rahn, and J. M. Bennett, "Light scattering from multilayers optics: comparison of theory and experiments," Appl. Opt. 19, 669–679 (1980).

J. M. Bennett, S. M. Wong, and G. Krauss, "Relation between the optical and metallurgical properties of polished molybdenum mirrors," Appl. Opt. 19, 3562–3584 (1980).

J. M. Elson and J. M. Bennett, "Relation between the angular dependance of scattering and the statistical properties of optical surfaces," J. Opt. Soc. Am. 69, 31–47 (1979).

C. K. Carniglia, "Scalar scattering theory for multilayer optical coatings," Opt. Eng. 18, 104–115 (1979).

F. Martin, J. Borgnino, C. Aimé, G. Ricort, and F. Roddier, "Erreurs d'estimation sur la détermination de la covariance de processus aléatoires, stationnaires, ergodiques, à valeur moyenne non nulle," .J. Opt. (Paris) 10, 99–108 (1979).

J. Eastman and P. Baumeister, "The microstructure of polished optical surfaces," Opt. Commun. 12, 418–420 (1974).

E. Kretschmann, "Die Bestimmung der Oberflächenrauhigkeit dunner Schichten durch Messung der Winkelabhängigkeit der Streustrahlung Von oberflächen Plasmaschwingungen," Opt. Commun. 10, 353–356 (1974).

E. Kröger and E. Kretschmann, "Scattering of light by slightly rough surfaces on thin films including plasma resonance emission," Z. Phys. 237, 1–15 (1970).

F. Martin, J. Borgnino, C. Aimé, G. Ricort, and F. Roddier, "Erreurs d'estimation sur la détermination de la covariance de processus aléatoires, stationnaires, ergodiques, à valeur moyenne non nulle," .J. Opt. (Paris) 10, 99–108 (1979).

J. Eastman and P. Baumeister, "The microstructure of polished optical surfaces," Opt. Commun. 12, 418–420 (1974).

P. Beckmann and A. Spizzichino, The Scattering of Electromagnetic Waves from Rough Surfaces (Pergamon. New York, 1963).

J. S. Bendat, Principles and Applications of Random Noise Theory (Wiley, New York, 1958), p. 189.

J. M. Bennett and J. H. Dancy, "Stylus profiling instrument for measuring statistical properties of smooth optical surfaces," Appl. Opt. 20, 1785–1802 (1981).

J. M. Elson, J. P. Rahn, and J. M. Bennett, "Light scattering from multilayers optics: comparison of theory and experiments," Appl. Opt. 19, 669–679 (1980).

J. M. Bennett, S. M. Wong, and G. Krauss, "Relation between the optical and metallurgical properties of polished molybdenum mirrors," Appl. Opt. 19, 3562–3584 (1980).

J. M. Elson and J. M. Bennett, "Relation between the angular dependance of scattering and the statistical properties of optical surfaces," J. Opt. Soc. Am. 69, 31–47 (1979).

J. M. Bennett, "Measurement of the rms roughness, autocovariance function and other statistical properties of optical surfaces using a FECO scanning interferometer," Appl. Opt. 15, 2705–2720 (1976).

F. Martin, J. Borgnino, C. Aimé, G. Ricort, and F. Roddier, "Erreurs d'estimation sur la détermination de la covariance de processus aléatoires, stationnaires, ergodiques, à valeur moyenne non nulle," .J. Opt. (Paris) 10, 99–108 (1979).

E. O. Brigham, The Fast Fourier Transform (Prentice-Hall, Englewood Cliffs, N.J., 1974), p. 110.

C. K. Carniglia, "Scalar scattering theory for multilayer optical coatings," Opt. Eng. 18, 104–115 (1979).

J. C. Dainty and R. Shaw, Image Science, Principles, Analysis and Evaluation of Photographic-Type Imaging Processes (Academic, London, 1974), p. 197.

J. L. Doob, Stochastic Processes (Wiley, London, 1953).

J. Eastman and P. Baumeister, "The microstructure of polished optical surfaces," Opt. Commun. 12, 418–420 (1974).

J. M. Eastman, "Scattering by all-dielectric multilayers, bandpass filters and mirror for lasers," in Physics of Thin Films, G. Hass and M. H. Francombe, eds. (Academic, New York, 1978), Vol. 10, p. 167.

J. M. Elson, J. P. Rahn, and J. M. Bennett, "Light scattering from multilayers optics: comparison of theory and experiments," Appl. Opt. 19, 669–679 (1980).

J. M. Elson and J. M. Bennett, "Relation between the angular dependance of scattering and the statistical properties of optical surfaces," J. Opt. Soc. Am. 69, 31–47 (1979).

J. M. Elson, "Light scattering from surfaces with a single dielectric overlayer," J. Opt. Soc. Am. 66, 682–694 (1976); "Diffraction and diffuse scattering from dielectrics multilayers," J. Opt. Soc. Am. 69, 48–54 (1979).

R. K. Otnes and L. Enochson, Digital Time Series Analysis (Wiley, New York, 1972), p. 225.

L. R. Rabiner and B. Gold, Theory and Application of Digital Signal Processing (Prentice-Hall, Englewood Cliffs, N.J., 1975), p. 105.

G. M. Jenkins and D. G. Watts, Spectral Analysis and Its Applications (Holden-Day, San Francisco, 1968), p. 174.

E. Kretschmann and E. Kröger, "Reflection and transmission of light by a rough surface, including results for surfaces plasmon effects," J. Opt. Soc. Am. 65, 150–154 (1975).

E. Kretschmann, "Die Bestimmung der Oberflächenrauhigkeit dunner Schichten durch Messung der Winkelabhängigkeit der Streustrahlung Von oberflächen Plasmaschwingungen," Opt. Commun. 10, 353–356 (1974).

E. Kröger and E. Kretschmann, "Scattering of light by slightly rough surfaces on thin films including plasma resonance emission," Z. Phys. 237, 1–15 (1970).

Y. W. Lee, Statistical Theory of Communication (Wiley, New York, 1960), p. 72.

F. Varnier, M. Rasigni, G. Rasigni, J. P. Palmari, and A. Llebaria, "Height and slope distributions for surfaces of rough metallic deposits," Appl. Opt. 21, 3681–3684 (1982).

G. Rasigni, F. Varnier, M. Rasigni, J. P. Palmari, and A. Llebaria, "Autocovariance functions, root-mean-square roughness height, and autocovariance length for rough deposits of copper, silver and gold," Phys. Rev. B 25, 2315–2323 (1982).

M. Rasigni, G. Rasigni, J. P. Palmari, and A. Llebaria, "Study of surface roughness using a microdensitometer analysis of electron micrographs of surface replicas: II. Autocovariance functions," J. Opt. Soc. Am. 71, 1230–1237 (1981).

M. Rasigni, F. Varnier, G. Rasigni, J. P. Palmari, and A. Llebaria, "Validity of surface-roughness study using microdensitometer analysis of electron micrographs of surface replicas," J. Opt. Soc. Am. 71, 1549–1550 (1981).

M. Rasigni, G. Rasigni, J. P'. Palmari, and A. Llebaria, "Study of surface roughness using a microdensitometer analysis of electron micrographs of surface replicas: I. Surface profiles," J. Opt. Soc. Am. 71, 1124–1133 (1981).

F. Martin, J. Borgnino, C. Aimé, G. Ricort, and F. Roddier, "Erreurs d'estimation sur la détermination de la covariance de processus aléatoires, stationnaires, ergodiques, à valeur moyenne non nulle," .J. Opt. (Paris) 10, 99–108 (1979).

H. J. Nussbaumer, Fast Fourier Transform and Convolution Algorithm (Springer-Verlag, Berlin, 1981), p. 32.

A. V. Oppenhein and R. W. Shafer, Digital Signal Processing (Prentice Hall, Englewood Cliffs, N.J., 1975), p. 539.

R. K. Otnes and L. Enochson, Digital Time Series Analysis (Wiley, New York, 1972), p. 225.

F. Varnier, M. Rasigni, G. Rasigni, J. P. Palmari, and A. Llebaria, "Height and slope distributions for surfaces of rough metallic deposits," Appl. Opt. 21, 3681–3684 (1982).

G. Rasigni, F. Varnier, M. Rasigni, J. P. Palmari, and A. Llebaria, "Autocovariance functions, root-mean-square roughness height, and autocovariance length for rough deposits of copper, silver and gold," Phys. Rev. B 25, 2315–2323 (1982).

M. Rasigni, F. Varnier, G. Rasigni, J. P. Palmari, and A. Llebaria, "Validity of surface-roughness study using microdensitometer analysis of electron micrographs of surface replicas," J. Opt. Soc. Am. 71, 1549–1550 (1981).

M. Rasigni, G. Rasigni, J. P'. Palmari, and A. Llebaria, "Study of surface roughness using a microdensitometer analysis of electron micrographs of surface replicas: I. Surface profiles," J. Opt. Soc. Am. 71, 1124–1133 (1981).

M. Rasigni, G. Rasigni, J. P. Palmari, and A. Llebaria, "Study of surface roughness using a microdensitometer analysis of electron micrographs of surface replicas: II. Autocovariance functions," J. Opt. Soc. Am. 71, 1230–1237 (1981).

G. Rasigni, J. P. Palmari, and M. Rasigni, "Plasma resonance in granular deposits and rough surfaces of magnesium," Phys. Rev. B 12, 1121–1131 (1975).

A. Papoulis, Probability, Random Variables and Stochastic Processes (McGraw-Hill, New York, 1965), pp. 437 and 503.

L. R. Rabiner and B. Gold, Theory and Application of Digital Signal Processing (Prentice-Hall, Englewood Cliffs, N.J., 1975), p. 105.

G. Rasigni, F. Varnier, M. Rasigni, J. P. Palmari, and A. Llebaria, "Autocovariance functions, root-mean-square roughness height, and autocovariance length for rough deposits of copper, silver and gold," Phys. Rev. B 25, 2315–2323 (1982).

F. Varnier, M. Rasigni, G. Rasigni, J. P. Palmari, and A. Llebaria, "Height and slope distributions for surfaces of rough metallic deposits," Appl. Opt. 21, 3681–3684 (1982).

M. Rasigni, F. Varnier, G. Rasigni, J. P. Palmari, and A. Llebaria, "Validity of surface-roughness study using microdensitometer analysis of electron micrographs of surface replicas," J. Opt. Soc. Am. 71, 1549–1550 (1981).

M. Rasigni, G. Rasigni, J. P'. Palmari, and A. Llebaria, "Study of surface roughness using a microdensitometer analysis of electron micrographs of surface replicas: I. Surface profiles," J. Opt. Soc. Am. 71, 1124–1133 (1981).

M. Rasigni, G. Rasigni, J. P. Palmari, and A. Llebaria, "Study of surface roughness using a microdensitometer analysis of electron micrographs of surface replicas: II. Autocovariance functions," J. Opt. Soc. Am. 71, 1230–1237 (1981).

G. Rasigni, J. P. Palmari, and M. Rasigni, "Plasma resonance in granular deposits and rough surfaces of magnesium," Phys. Rev. B 12, 1121–1131 (1975).

F. Varnier, M. Rasigni, G. Rasigni, J. P. Palmari, and A. Llebaria, "Height and slope distributions for surfaces of rough metallic deposits," Appl. Opt. 21, 3681–3684 (1982).

G. Rasigni, F. Varnier, M. Rasigni, J. P. Palmari, and A. Llebaria, "Autocovariance functions, root-mean-square roughness height, and autocovariance length for rough deposits of copper, silver and gold," Phys. Rev. B 25, 2315–2323 (1982).

M. Rasigni, G. Rasigni, J. P. Palmari, and A. Llebaria, "Study of surface roughness using a microdensitometer analysis of electron micrographs of surface replicas: II. Autocovariance functions," J. Opt. Soc. Am. 71, 1230–1237 (1981).

M. Rasigni, G. Rasigni, J. P'. Palmari, and A. Llebaria, "Study of surface roughness using a microdensitometer analysis of electron micrographs of surface replicas: I. Surface profiles," J. Opt. Soc. Am. 71, 1124–1133 (1981).

M. Rasigni, F. Varnier, G. Rasigni, J. P. Palmari, and A. Llebaria, "Validity of surface-roughness study using microdensitometer analysis of electron micrographs of surface replicas," J. Opt. Soc. Am. 71, 1549–1550 (1981).

G. Rasigni, J. P. Palmari, and M. Rasigni, "Plasma resonance in granular deposits and rough surfaces of magnesium," Phys. Rev. B 12, 1121–1131 (1975).

H. Reather, "Surface plasma oscillations and their applications," in Physics of Thin Films, G. Hass, ed. (Academic, New York, 1977), Vol. 9, p. 145.

F. Martin, J. Borgnino, C. Aimé, G. Ricort, and F. Roddier, "Erreurs d'estimation sur la détermination de la covariance de processus aléatoires, stationnaires, ergodiques, à valeur moyenne non nulle," .J. Opt. (Paris) 10, 99–108 (1979).

F. Martin, J. Borgnino, C. Aimé, G. Ricort, and F. Roddier, "Erreurs d'estimation sur la détermination de la covariance de processus aléatoires, stationnaires, ergodiques, à valeur moyenne non nulle," .J. Opt. (Paris) 10, 99–108 (1979).

A. V. Oppenhein and R. W. Shafer, Digital Signal Processing (Prentice Hall, Englewood Cliffs, N.J., 1975), p. 539.

J. C. Dainty and R. Shaw, Image Science, Principles, Analysis and Evaluation of Photographic-Type Imaging Processes (Academic, London, 1974), p. 197.

P. Beckmann and A. Spizzichino, The Scattering of Electromagnetic Waves from Rough Surfaces (Pergamon. New York, 1963).

F. Varnier, M. Rasigni, G. Rasigni, J. P. Palmari, and A. Llebaria, "Height and slope distributions for surfaces of rough metallic deposits," Appl. Opt. 21, 3681–3684 (1982).

G. Rasigni, F. Varnier, M. Rasigni, J. P. Palmari, and A. Llebaria, "Autocovariance functions, root-mean-square roughness height, and autocovariance length for rough deposits of copper, silver and gold," Phys. Rev. B 25, 2315–2323 (1982).

M. Rasigni, F. Varnier, G. Rasigni, J. P. Palmari, and A. Llebaria, "Validity of surface-roughness study using microdensitometer analysis of electron micrographs of surface replicas," J. Opt. Soc. Am. 71, 1549–1550 (1981).

G. M. Jenkins and D. G. Watts, Spectral Analysis and Its Applications (Holden-Day, San Francisco, 1968), p. 174.

J. M. Bennett, "Measurement of the rms roughness, autocovariance function and other statistical properties of optical surfaces using a FECO scanning interferometer," Appl. Opt. 15, 2705–2720 (1976).

J. M. Elson, J. P. Rahn, and J. M. Bennett, "Light scattering from multilayers optics: comparison of theory and experiments," Appl. Opt. 19, 669–679 (1980).

J. M. Bennett, S. M. Wong, and G. Krauss, "Relation between the optical and metallurgical properties of polished molybdenum mirrors," Appl. Opt. 19, 3562–3584 (1980).

J. M. Bennett and J. H. Dancy, "Stylus profiling instrument for measuring statistical properties of smooth optical surfaces," Appl. Opt. 20, 1785–1802 (1981).

F. Varnier, M. Rasigni, G. Rasigni, J. P. Palmari, and A. Llebaria, "Height and slope distributions for surfaces of rough metallic deposits," Appl. Opt. 21, 3681–3684 (1982).

F. Martin, J. Borgnino, C. Aimé, G. Ricort, and F. Roddier, "Erreurs d'estimation sur la détermination de la covariance de processus aléatoires, stationnaires, ergodiques, à valeur moyenne non nulle," .J. Opt. (Paris) 10, 99–108 (1979).

J. M. Elson and J. M. Bennett, "Relation between the angular dependance of scattering and the statistical properties of optical surfaces," J. Opt. Soc. Am. 69, 31–47 (1979).

M. Rasigni, F. Varnier, G. Rasigni, J. P. Palmari, and A. Llebaria, "Validity of surface-roughness study using microdensitometer analysis of electron micrographs of surface replicas," J. Opt. Soc. Am. 71, 1549–1550 (1981).

E. Kretschmann and E. Kröger, "Reflection and transmission of light by a rough surface, including results for surfaces plasmon effects," J. Opt. Soc. Am. 65, 150–154 (1975).

S. A. Armstrong and P. T. Gough, "Investigations of errors in sample autocovariance functions and their corresponding power spectra," J. Opt. Soc. Am. 68, 568–572 (1978).

P. Bousquet, F. Flory, and P. Roche, "Scattering from multilayer thin films: theory and experiment," J. Opt. Soc. Am. 71, 1115–1123 (1981).

M. Rasigni, G. Rasigni, J. P'. Palmari, and A. Llebaria, "Study of surface roughness using a microdensitometer analysis of electron micrographs of surface replicas: I. Surface profiles," J. Opt. Soc. Am. 71, 1124–1133 (1981).

M. Rasigni, G. Rasigni, J. P. Palmari, and A. Llebaria, "Study of surface roughness using a microdensitometer analysis of electron micrographs of surface replicas: II. Autocovariance functions," J. Opt. Soc. Am. 71, 1230–1237 (1981).

J. Eastman and P. Baumeister, "The microstructure of polished optical surfaces," Opt. Commun. 12, 418–420 (1974).

E. Kretschmann, "Die Bestimmung der Oberflächenrauhigkeit dunner Schichten durch Messung der Winkelabhängigkeit der Streustrahlung Von oberflächen Plasmaschwingungen," Opt. Commun. 10, 353–356 (1974).

C. K. Carniglia, "Scalar scattering theory for multilayer optical coatings," Opt. Eng. 18, 104–115 (1979).

G. Rasigni, J. P. Palmari, and M. Rasigni, "Plasma resonance in granular deposits and rough surfaces of magnesium," Phys. Rev. B 12, 1121–1131 (1975).

G. Rasigni, F. Varnier, M. Rasigni, J. P. Palmari, and A. Llebaria, "Autocovariance functions, root-mean-square roughness height, and autocovariance length for rough deposits of copper, silver and gold," Phys. Rev. B 25, 2315–2323 (1982).

E. Kröger and E. Kretschmann, "Scattering of light by slightly rough surfaces on thin films including plasma resonance emission," Z. Phys. 237, 1–15 (1970).

J. M. Elson, "Light scattering from surfaces with a single dielectric overlayer," J. Opt. Soc. Am. 66, 682–694 (1976); "Diffraction and diffuse scattering from dielectrics multilayers," J. Opt. Soc. Am. 69, 48–54 (1979).

G. M. Jenkins and D. G. Watts, Spectral Analysis and Its Applications (Holden-Day, San Francisco, 1968), p. 174.

A. V. Oppenhein and R. W. Shafer, Digital Signal Processing (Prentice Hall, Englewood Cliffs, N.J., 1975), p. 539.

A. Papoulis, Probability, Random Variables and Stochastic Processes (McGraw-Hill, New York, 1965), pp. 437 and 503.

P. Beckmann and A. Spizzichino, The Scattering of Electromagnetic Waves from Rough Surfaces (Pergamon. New York, 1963).

J. M. Eastman, "Scattering by all-dielectric multilayers, bandpass filters and mirror for lasers," in Physics of Thin Films, G. Hass and M. H. Francombe, eds. (Academic, New York, 1978), Vol. 10, p. 167.

L. R. Rabiner and B. Gold, Theory and Application of Digital Signal Processing (Prentice-Hall, Englewood Cliffs, N.J., 1975), p. 105.

Ref. 17, P. 556.

R. K. Otnes and L. Enochson, Digital Time Series Analysis (Wiley, New York, 1972), p. 225.

E. O. Brigham, The Fast Fourier Transform (Prentice-Hall, Englewood Cliffs, N.J., 1974), p. 110.

H. J. Nussbaumer, Fast Fourier Transform and Convolution Algorithm (Springer-Verlag, Berlin, 1981), p. 32.

Ref. 20, p. 403.

Ref. 20, p. 404.

Y. W. Lee, Statistical Theory of Communication (Wiley, New York, 1960), p. 72.

J. S. Bendat, Principles and Applications of Random Noise Theory (Wiley, New York, 1958), p. 189.

J. L. Doob, Stochastic Processes (Wiley, London, 1953).

H. Reather, "Surface plasma oscillations and their applications," in Physics of Thin Films, G. Hass, ed. (Academic, New York, 1977), Vol. 9, p. 145.

J. C. Dainty and R. Shaw, Image Science, Principles, Analysis and Evaluation of Photographic-Type Imaging Processes (Academic, London, 1974), p. 197.