M. Berry, I. Marzoli, W. Schleich, “Quantum carpets, carpets of light,” Phys. World 14, 39–44 (2001).

O. V. Angelsky, P. P. Maksimyak, V. V. Ryukhtin, S. G. Hanson, “New feasibilities for characterizing rough surfaces by optical-correlation techniques,” Appl. Opt. 40, 5693–5707 (2001).

[Crossref]

Y.-P. Zhao, C.-F. Cheng, G.-C. Wang, T.-M. Lu, “Power law behavior in diffraction from fractal surfaces,” Surf. Sci. Lett. 409, L703–L708 (1998).

[Crossref]

M. S. Soskin, M. V. Vasnetsov, “Nonlinear singular optics,” Pure Appl. Opt. 7, 301–311 (1998).

[Crossref]

N. M. Astafyeva, “Wavelet-analysis: theoretical principles and application examples,” Usp. Phys. Nauk 166, 1145–1170 (1996), in Russian.

[Crossref]

P. Hall, S. Davies, “On direction invariance of fractal dimension on a surface,” Appl. Phys. A 60, 271–274 (1995).

[Crossref]

A. Dogariu, J. Uozumi, T. Asakura, “Angular power spectra of fractal structures,” J. Mod. Opt. 41, 729–738 (1994).

[Crossref]

M. Hasegawa, J. Liu, Y. Konishi, “Characterization of engineering surfaces by fractal analysis,” Int. J. Jpn. Soc. Prec. Eng. 27, 192–196 (1993).

A. Dogariu, J. Uozumi, T. Asakura, “Sources of error in optical measurements of fractal dimension,” Pure Appl. Opt. 2, 339–350 (1993).

[Crossref]

M. V. Berry, J. H. Hannay, “Topography of random surfaces,” Nature 273, 573–576 (1978).

[Crossref]

J. F. Nye, M. Berry, “Dislocations in wave trains,” Proc. R. Soc. London Ser. A 336, 165–190 (1974).

[Crossref]

O. V. Angelsky, P. P. Maksimyak, V. V. Ryukhtin, S. G. Hanson, “New feasibilities for characterizing rough surfaces by optical-correlation techniques,” Appl. Opt. 40, 5693–5707 (2001).

[Crossref]

O. V. Angelsky, S. G. Hanson, P. P. Maksimyak, Use of Optical Correlation Techniques for Characterizing Scattering Objects and Media, Vol. PM71 of SPIE Press Monograph Series (SPIE Press, Bellingham, Wash., 1999).

A. Arneodo, G. Grasseau, M. Holschneider, “Wavelet transform of multifractals,” Phys. Rev. Lett. 61, 2281–2284 (1988).

[Crossref]
[PubMed]

A. Arneodo, “Wavelet analysis of fractals: from the mathematical concept to experimental reality,” in Wavelets: Theory and Application, M. Y. Hussaini, ed. (Oxford University, New York, 1996), pp. 352–497.

J. Uozumi, N. Asakura, Fractal Optics (Hokkaido University Press, Sapporo, Japan, 1995).

A. Dogariu, J. Uozumi, T. Asakura, “Angular power spectra of fractal structures,” J. Mod. Opt. 41, 729–738 (1994).

[Crossref]

A. Dogariu, J. Uozumi, T. Asakura, “Sources of error in optical measurements of fractal dimension,” Pure Appl. Opt. 2, 339–350 (1993).

[Crossref]

N. M. Astafyeva, “Wavelet-analysis: theoretical principles and application examples,” Usp. Phys. Nauk 166, 1145–1170 (1996), in Russian.

[Crossref]

P. Beckmann, A. Spizzichino, Reflection of Electromagnetic Waves from Rough Surfaces (Basingstoke, Macmillan, London, 1963).

J. M. Bennett, L. Mattson, Introduction to Surface Roughness and Scattering (Optical Society of America, Washington, D.C., 1989).

M. Berry, I. Marzoli, W. Schleich, “Quantum carpets, carpets of light,” Phys. World 14, 39–44 (2001).

J. F. Nye, M. Berry, “Dislocations in wave trains,” Proc. R. Soc. London Ser. A 336, 165–190 (1974).

[Crossref]

M. Berry, “Singularities in waves and rays,” in Physics of Defects, R. Bahan, ed. (North-Holland, Amsterdam, 1981).

M. V. Berry, J. H. Hannay, “Topography of random surfaces,” Nature 273, 573–576 (1978).

[Crossref]

Y.-P. Zhao, C.-F. Cheng, G.-C. Wang, T.-M. Lu, “Power law behavior in diffraction from fractal surfaces,” Surf. Sci. Lett. 409, L703–L708 (1998).

[Crossref]

P. Hall, S. Davies, “On direction invariance of fractal dimension on a surface,” Appl. Phys. A 60, 271–274 (1995).

[Crossref]

A. Dogariu, J. Uozumi, T. Asakura, “Angular power spectra of fractal structures,” J. Mod. Opt. 41, 729–738 (1994).

[Crossref]

A. Dogariu, J. Uozumi, T. Asakura, “Sources of error in optical measurements of fractal dimension,” Pure Appl. Opt. 2, 339–350 (1993).

[Crossref]

M. Francon, Laser Speckle and Applications in Optics (Academic, New York, 1979).

A. Arneodo, G. Grasseau, M. Holschneider, “Wavelet transform of multifractals,” Phys. Rev. Lett. 61, 2281–2284 (1988).

[Crossref]
[PubMed]

P. Hall, S. Davies, “On direction invariance of fractal dimension on a surface,” Appl. Phys. A 60, 271–274 (1995).

[Crossref]

M. V. Berry, J. H. Hannay, “Topography of random surfaces,” Nature 273, 573–576 (1978).

[Crossref]

O. V. Angelsky, P. P. Maksimyak, V. V. Ryukhtin, S. G. Hanson, “New feasibilities for characterizing rough surfaces by optical-correlation techniques,” Appl. Opt. 40, 5693–5707 (2001).

[Crossref]

O. V. Angelsky, S. G. Hanson, P. P. Maksimyak, Use of Optical Correlation Techniques for Characterizing Scattering Objects and Media, Vol. PM71 of SPIE Press Monograph Series (SPIE Press, Bellingham, Wash., 1999).

M. Hasegawa, J. Liu, Y. Konishi, “Characterization of engineering surfaces by fractal analysis,” Int. J. Jpn. Soc. Prec. Eng. 27, 192–196 (1993).

A. Arneodo, G. Grasseau, M. Holschneider, “Wavelet transform of multifractals,” Phys. Rev. Lett. 61, 2281–2284 (1988).

[Crossref]
[PubMed]

J. Kertész, T. Vicsek, “Self-affine surfaces,” in Fractals in Science, A. Bunde, S. Havlin, eds. (Springer-Verlag, Berlin, 1994).

[Crossref]

M. Hasegawa, J. Liu, Y. Konishi, “Characterization of engineering surfaces by fractal analysis,” Int. J. Jpn. Soc. Prec. Eng. 27, 192–196 (1993).

M. Hasegawa, J. Liu, Y. Konishi, “Characterization of engineering surfaces by fractal analysis,” Int. J. Jpn. Soc. Prec. Eng. 27, 192–196 (1993).

Y.-P. Zhao, C.-F. Cheng, G.-C. Wang, T.-M. Lu, “Power law behavior in diffraction from fractal surfaces,” Surf. Sci. Lett. 409, L703–L708 (1998).

[Crossref]

O. V. Angelsky, P. P. Maksimyak, V. V. Ryukhtin, S. G. Hanson, “New feasibilities for characterizing rough surfaces by optical-correlation techniques,” Appl. Opt. 40, 5693–5707 (2001).

[Crossref]

O. V. Angelsky, S. G. Hanson, P. P. Maksimyak, Use of Optical Correlation Techniques for Characterizing Scattering Objects and Media, Vol. PM71 of SPIE Press Monograph Series (SPIE Press, Bellingham, Wash., 1999).

B. B. Mandelbrot, Fractal Geometry of Nature (Freeman, San Francisco, Calif., 1984).

M. Berry, I. Marzoli, W. Schleich, “Quantum carpets, carpets of light,” Phys. World 14, 39–44 (2001).

J. M. Bennett, L. Mattson, Introduction to Surface Roughness and Scattering (Optical Society of America, Washington, D.C., 1989).

J. F. Nye, M. Berry, “Dislocations in wave trains,” Proc. R. Soc. London Ser. A 336, 165–190 (1974).

[Crossref]

M. Berry, I. Marzoli, W. Schleich, “Quantum carpets, carpets of light,” Phys. World 14, 39–44 (2001).

M. S. Soskin, M. V. Vasnetsov, “Nonlinear singular optics,” Pure Appl. Opt. 7, 301–311 (1998).

[Crossref]

P. Beckmann, A. Spizzichino, Reflection of Electromagnetic Waves from Rough Surfaces (Basingstoke, Macmillan, London, 1963).

A. S. Toporets, Optics of Rough Surfaces (Mashinostroenie, Leningrad, 1988), in Russian.

A. Dogariu, J. Uozumi, T. Asakura, “Angular power spectra of fractal structures,” J. Mod. Opt. 41, 729–738 (1994).

[Crossref]

A. Dogariu, J. Uozumi, T. Asakura, “Sources of error in optical measurements of fractal dimension,” Pure Appl. Opt. 2, 339–350 (1993).

[Crossref]

J. Uozumi, N. Asakura, Fractal Optics (Hokkaido University Press, Sapporo, Japan, 1995).

M. S. Soskin, M. V. Vasnetsov, “Nonlinear singular optics,” Pure Appl. Opt. 7, 301–311 (1998).

[Crossref]

J. Kertész, T. Vicsek, “Self-affine surfaces,” in Fractals in Science, A. Bunde, S. Havlin, eds. (Springer-Verlag, Berlin, 1994).

[Crossref]

T. Vicsek, “Dynamics of growing self-affine surfaces,” in From Statistical Physics to Chaos, G. Györgyi, I. Kondor, L. Sasvári, T. Tél, eds. (World Scientific, Singapore, 1992).

Y.-P. Zhao, C.-F. Cheng, G.-C. Wang, T.-M. Lu, “Power law behavior in diffraction from fractal surfaces,” Surf. Sci. Lett. 409, L703–L708 (1998).

[Crossref]

V. G. Zakharov, “Elaboration and application of wavelet-analysis to nonlinear hydrodynamical systems,” Ph.D. dissertation (Institute of Mechanics of Continua, Ural Division, Russian Academy of Sciences, Perm, Russia, 1997), in Russian.

Y.-P. Zhao, C.-F. Cheng, G.-C. Wang, T.-M. Lu, “Power law behavior in diffraction from fractal surfaces,” Surf. Sci. Lett. 409, L703–L708 (1998).

[Crossref]

P. Hall, S. Davies, “On direction invariance of fractal dimension on a surface,” Appl. Phys. A 60, 271–274 (1995).

[Crossref]

M. Hasegawa, J. Liu, Y. Konishi, “Characterization of engineering surfaces by fractal analysis,” Int. J. Jpn. Soc. Prec. Eng. 27, 192–196 (1993).

A. Dogariu, J. Uozumi, T. Asakura, “Angular power spectra of fractal structures,” J. Mod. Opt. 41, 729–738 (1994).

[Crossref]

M. V. Berry, J. H. Hannay, “Topography of random surfaces,” Nature 273, 573–576 (1978).

[Crossref]

A. Arneodo, G. Grasseau, M. Holschneider, “Wavelet transform of multifractals,” Phys. Rev. Lett. 61, 2281–2284 (1988).

[Crossref]
[PubMed]

M. Berry, I. Marzoli, W. Schleich, “Quantum carpets, carpets of light,” Phys. World 14, 39–44 (2001).

J. F. Nye, M. Berry, “Dislocations in wave trains,” Proc. R. Soc. London Ser. A 336, 165–190 (1974).

[Crossref]

M. S. Soskin, M. V. Vasnetsov, “Nonlinear singular optics,” Pure Appl. Opt. 7, 301–311 (1998).

[Crossref]

A. Dogariu, J. Uozumi, T. Asakura, “Sources of error in optical measurements of fractal dimension,” Pure Appl. Opt. 2, 339–350 (1993).

[Crossref]

Y.-P. Zhao, C.-F. Cheng, G.-C. Wang, T.-M. Lu, “Power law behavior in diffraction from fractal surfaces,” Surf. Sci. Lett. 409, L703–L708 (1998).

[Crossref]

N. M. Astafyeva, “Wavelet-analysis: theoretical principles and application examples,” Usp. Phys. Nauk 166, 1145–1170 (1996), in Russian.

[Crossref]

A. Arneodo, “Wavelet analysis of fractals: from the mathematical concept to experimental reality,” in Wavelets: Theory and Application, M. Y. Hussaini, ed. (Oxford University, New York, 1996), pp. 352–497.

V. G. Zakharov, “Elaboration and application of wavelet-analysis to nonlinear hydrodynamical systems,” Ph.D. dissertation (Institute of Mechanics of Continua, Ural Division, Russian Academy of Sciences, Perm, Russia, 1997), in Russian.

B. B. Mandelbrot, Fractal Geometry of Nature (Freeman, San Francisco, Calif., 1984).

J. Kertész, T. Vicsek, “Self-affine surfaces,” in Fractals in Science, A. Bunde, S. Havlin, eds. (Springer-Verlag, Berlin, 1994).

[Crossref]

T. Vicsek, “Dynamics of growing self-affine surfaces,” in From Statistical Physics to Chaos, G. Györgyi, I. Kondor, L. Sasvári, T. Tél, eds. (World Scientific, Singapore, 1992).

O. V. Angelsky, S. G. Hanson, P. P. Maksimyak, Use of Optical Correlation Techniques for Characterizing Scattering Objects and Media, Vol. PM71 of SPIE Press Monograph Series (SPIE Press, Bellingham, Wash., 1999).

A. S. Toporets, Optics of Rough Surfaces (Mashinostroenie, Leningrad, 1988), in Russian.

J. M. Bennett, L. Mattson, Introduction to Surface Roughness and Scattering (Optical Society of America, Washington, D.C., 1989).

P. Beckmann, A. Spizzichino, Reflection of Electromagnetic Waves from Rough Surfaces (Basingstoke, Macmillan, London, 1963).

M. Berry, “Singularities in waves and rays,” in Physics of Defects, R. Bahan, ed. (North-Holland, Amsterdam, 1981).

M. Francon, Laser Speckle and Applications in Optics (Academic, New York, 1979).

J. Uozumi, N. Asakura, Fractal Optics (Hokkaido University Press, Sapporo, Japan, 1995).