A survey is given of a variety of effects that can arise in the scattering of electromagnetic waves from one- and two-dimensional randomly rough surfaces. The focus is primarily on multiple-scattering effects such as enhanced backscattering, enhanced transmission, satellite peaks, new features in speckle correlations and in second harmonic generation in reflection. Theoretical treatments of these phenomena are outlined, and experimental results illustrating them are presented.
McGurnA. R., MaradudinA. A., and CelliV. (1985) Localization effects in the scattering of light from a randomly rough grating. Phys. Rev., B 31, 4866–4871.
2.
MéndezE. R., and O'DonnellK. A. (1987) Observation of depolarization and backscattering enhancement in light scattering from Gaussian random surfaces. Opt. Commun., 61, 91–95.
3.
O'DonnellK. A., and MéndezE. R. (1987) Experimental study of scattering from characterized random surfaces. J. Opt. Soc. Am., A 4, 1194–1205.
4.
BergmannG. (1983) Physical interpretation of weak localization: a time-of-flight experiment with conduction electrons. Phys. Rev., B 28, 2914–2920.
5.
Khmel'nitskiiD. E. (1984) Localization and coherent scattering of electrons. Physica, 126B, 235–241.
6.
AbrahamsE., AndersonP. W., LicciardelloD. C., and RamakrishnanT. V. (1979) Scaling theory of localization: Absence of quantum diffusion in two dimensions. Phys. Rev. Lett., 42, 673–676.
7.
AndersonP. W. (1958) Absence of diffusion in certain random lattices. Phys. Rev., 109, 1492–1505.
8.
ShengP.Introduction to Wave Scattering, Localization, and Mesoscopic Phenomena. (Academic Press, San Diego, 1995).
9.
MaradudinA. A., LunaR. E., and MéndezE. R. (1993) The Brewster effect for a one-dimensional random surface. Waves in Random Media, 3, 51–60.
10.
LeskovaT. A., and MaradudinA. A. (1997) X-ray scattering from a randomly rough surface. Waves in Random Media, 7, 395–434.
11.
MaradudinA. A., and MéndezE. R. (1993) Enhanced backscattering of light from a weakly rough, random metal surface. Appl. Opt., 32, 3335–3343.
12.
See, for example, MaradudinA. A.Interaction of surface polaritons and plasmons with surface roughness. In: Surface Polaritons, AgranovichV. M., and MillsD. L. (eds.), (North-Holland, Amsterdam, 1982), pp. 405–510.
13.
WestC. S., and O'DonnellK. A. (1995) Observations of backscattering enhancement from polaritons on a rough metal surface. J. Opt. Soc. Am., A 12, 390–397.
14.
MaradudinA. A., McGurnA. R., and MéndezE. R. (1995) Surface plasmon polariton mechanism for enhanced backscattering of light from one-dimensional randomly rough metal surfaces. J. Opt. Soc. Am., A 12, 2500–2506.
15.
MaradudinA. A., MichelT., McGurnA. R., and MéndezE. R. (1990) Enhanced backscattering of light from a random grating. Ann. Phys. (N.Y.), 203, 255–307.
16.
MaradudinA. A., MéndezE. R., and MichelT.Backscattering effects in the elastic scattering of p-polarized light from a large amplitude random grating. In: Scattering in Volumes and Surfaces, Nieto-VesperinasM., and DaintyJ. C. (eds.), (North-Holland, Amsterdam, 1990), pp. 157–174.
17.
O'DonnellK. A., and KnottsM. E. (1991) Polarization dependence of scattering from one-dimensional rough surfaces. J. Opt. Soc. Am., A 8, 1126–1131.
18.
MichelT. R., KnottsM. E., and O'DonnellK. A. (1992) Stokes matrix of a one-dimensional perfectly conducting rough surface. J. Opt. Soc. Am., A 9, 585–596.
19.
KnottsM. E., MichelT. R., and O'DonnellK. A. (1993) Comparisons of theory and experiment in light scattering from a randomly rough surface. J. Opt. Soc. Am., A 10, 928–941.
20.
MéndezE. R., NavarreteA. G., and LunaR. E. (1995) Statistics of the polarization properties of one-dimensional randomly rough surfaces. J. Opt. Soc. Am., A 12, 2507–2516.
21.
LiL., ChanC. H., and TsangL. (1994) Numerical simulation of conical diffraction of tapered electromagnetic waves from random rough surfaces and applications to passive remote sensing, Radio Sci., 29, 587–598.
22.
LunaR. E., and MéndezE. R. (1995) Scattering by one-dimensional random rough metallic surfaces in a conicalconfiguration. Opt. Lett., 20, 657–659.
23.
LunaR. E. (1996) Scattering by one-dimensional random rough metallic surfaces in a conical configuration: several polarizations. Opt. Lett., 21, 1418–1420.
24.
NovikovI. V., and MaradudinA. A. (1997) Stokes matrix in conical scattering from a one-dimensional randomly rough metal surface. SPIE, 3141, 171–185.
25.
LunaR. E., Acosta-OrtizS. E., and ZouL.-F. (1998) Mueller matrix for characterization of one-dimensional rough perfectly reflecting surfaces in a conical configuration. Opt. Lett., 23, 1075–1077.
26.
NovikovI. V., and MaradudinA. A. (1999) The Stokes matrix in conical scattering from a one-dimensional perfectly conducting randomly rough surface. Radio Sci., 34, 599–614.
27.
MaystreD.Rigorous vector theories of diffraction gratings. In: Progress in Optics, Vol. XXI, WolfE. (ed.), (North-Holland, Amsterdam, 1984), pp. 1–67.
28.
LunaR. E. (2002) Scattering by rough surfaces in a conical configuration: experimental Mueller matrix. Opt. Lett., 27, 1510–1512.
29.
KnottsM. E., and O'DonnellK. A. (1993) Backscattering enhancement from a conducting surface with isotropic roughness. Opt. Commun., 99, 1–6.
30.
ChaikinaE. I., Negrete-RegagnonP., Ruiz-CortésV., and MéndezE. R. (2002) Measurements of the hemispherical scattering distribution function of rough dielectric surfaces. Opt. Commun., 208, 215–221.
31.
McGurnA. R., and MaradudinA. A. (1987) Localization effects in the elastic scattering of light from a randomly rough surface. J. Opt. Soc. Am., B 4, 910–926.
32.
TranP., and MaradudinA. A. (1992) Scattering of a scalar beam from a two-dimensional randomly rough hard wall: Enhanced backscattering. Phys. Rev., B 45, 3936–3939.
33.
MacaskillC., and KachoyanB. J. (1998) Iterative approach for the numerical simulation of scattering from one- and two-dimensional rough surfaces. Appl. Opt., 32, 2839–2847.
34.
TranP., and MaradudinA. A. (1993) Scattering of a scalar beam from a two-dimensional randomly rough hard wall: Dirichlet and Neumann boundary conditions. Appl. Opt., 32, 2848–2851.
35.
See, for example, MathewsJ., and WalkerR. L. (1970) Mathematical Methods of Physics, 2nd ed. (Addison-Wesley, Reading, MA, 1970), Section 11–3.
36.
TranP., CelliV., and MaradudinA. A. (1994) Electromagnetic scattering from a two-dimensional, randomly rough, perfectly conducting surface: iterative methods. J. Opt. Soc. Am., A 11, 1686–1689.
37.
TranP., and MaradudinA. A. (1994) The scattering of electromagnetic waves from a randomly rough 2D metallic surface. Opt. Commun., 110, 269–273.
38.
MichielssenE., BoagA., and ChewW. C. (1996) Scattering from elongated objects: direct solution in O(N log2 N) operations. IEEE Proc. Microwave Antennas, Propag., 143, 277–283.
39.
WagnerR. L., SongJ., and ChewW. C. (1997) Monte Carlo simulation of electromagnetic scattering from two-dimensional random rough surfaces. IEEE Trans. Antennas Propag., 45, 235–245.
40.
TsangL., ChenC. H., PakK., and SanganiH. (1995) Monte Carlo simulations of large scale problems of random rough surface scattering and applications to grazing incidence with the BMIA/canonical grid method. IEEE Trans. Ant. Prop., 43, 851–859.
41.
TsangL., ChenC. H., and PakK. (1994) Backscattering enhancement of a two-dimensional random rough surface (three-dimensional scattering) based on Monte Carlo simulations. J. Opt. Soc. Am., A 11, 711–715.
42.
PakK., TsangL., ChenC. H., and JohnsonJ. T. (1995) Backscattering enhancement of electromagnetic waves from two-dimensional perfectly conducting random rough surfaces based on Monte Carlo simulations. J. Opt. Soc. Am., A 12, 2491–2499.
43.
PakK., TsangL., and JohnsonJ. T. (1997) Numerical simulations and backscattering enhancement of electromagnetic waves from two-dimensional dielectric random rough surfaces with sparse matrix canonical grid method. J. Opt. Soc. Am., A 14, 1515–1529.
44.
TorrengruengD., and JohnsonJ. T. (2001) An improved FB/NSA algorithm for the computation of scattering from two-dimensional large-scale rough surfaces. J. Electromagnetic waves applications, 15, 1337–1362.
45.
WarnickK. F., and ChewW. C. (2001) Numerical simulation methods for rough surface scattering. Waves in Random Media, 11, R1–R30.
46.
SaillardM., and SentenacA. (2001) Rigorous solutions for electromagnetic scattering from rough surfaces. Waves Random Media, 11, R103–R137.
47.
JohnsonJ. T.Computer simulations of rough surface scattering. In: Light Scattering and Nanoscale Surface Roughness, MaradudinA. A. (ed.), (Springer, New York, 2006), pp. 181–210.
48.
MaradudinA. A., MéndezE. R., and MichelT. (1989) Backscattering effects in the elastic scattering of p-polarized light from a large-amplitude random metallic grating. Opt. Lett., 14, 151–153.
49.
LuJun Q., MaradudinA. A., and MichelT. (1991) Enhanced backscattering from a rough dielectric film on a reflecting substrate. J. Opt. Soc. Am., B 8, 311–318.
50.
JakemanE. (1988) Enhanced backscattering through a deep random phase screen. J. Opt. Soc. Am., A 5, 1638–1648.
51.
TapsterP. R., WeeksA. R., and JakemanE. (1989) Observation of backscattering enhancement through atmospheric phase screens. J. Opt. Soc. Am., A 6, 517–522.
52.
JakemanE.The physical optics of enhanced backscattering. In: Scattering in Volumes and Surfaces, Nieto-VesperinasM., and DaintyJ. C. (eds.), (North-Holland, Amsterdam, 1990), pp. 111–123.
53.
MaradudinA. A., LuJun Q., MichelT., GuZu-Han, DaintyJ. C., SantA. J., MéndezE. R., and Nieto-VesperinasM. (1991) Enhanced backscattering and transmission of light from random surfaces on semi-infinite substrates and thin films. Waves Random Media, 1, S129–S141.
54.
See, for example, WallisR. F.Surface magnetoplasmons on semiconductors. In: Electromagnetic Surface Modes, BoardmanA. D. (ed.), (Wiley, New York, 1982), pp. 575–631.
55.
McGurnA. R., MaradudinA. A., and WallisR. F. (1991) Enhanced backscattering in a magnetic field. Waves Random Media, 1, 43–57.
56.
LuJun Q., MaradudinA. A., and WallisR. F. (1991) Enhanced backscattering in a magnetic field. Waves Random Media, 1, 309–339.
57.
FreilikherV., KanzieperE., and MaradudinA. A. (1997) Coherent scattering enhancement in systems bounded by rough surfaces. Phys. Rep., 288, 127–204.
58.
Ruiz-SantosB. E.Estudio numérico de la interacción de luz con superficies y guias de onda rugosas basado en la hipótesis de Rayleigh, Masters Thesis (CICESE, México, 2001).
59.
McGurnA. R., and MaradudinA. A. (1989) An analogue of enhanced backscattering in the transmission of light through a thin film with a randomly rough surface. Opt. Commun., 72, 279–285.
60.
WolfE.Non-cosmological redshifts of spectral lines. Nature (London)326, 363–365.
61.
WolfE. (1987) Red shifts and blue shifts of spectral lines emitted by two correlated sources. Phys. Rev. Lett., 58, 2646–2648.
62.
WolfE. (1987) Redshifts and blueshifts of spectral lines caused by source correlations. Opt. Commun., 62, 12–16.
63.
WolfE., FoleyJ. T., and GoriF. (1989) Frequency shifts of spectral lines produced by scattering from spatially random media. J. Opt. Soc. Am., A 6, 1142–1149.
64.
FoleyJ. T., and WolfE. (1989) Frequency shifts of spectral lines generated by scattering from space-time fluctuations. Phys. Rev., A 40, 588–598.
65.
WolfE. (1989) Correlation-induced Doppler-type frequency shifts of spectral lines. Phys. Rev. Lett., 63, 2220–2223.
66.
JamesD. F. V., and WolfE. (1990) Doppler-like frequency shifts generated by dynamic scattering. Phys. Lett., A 146, 167–171.
67.
LagendijkA. (1990) Terrestrial redshifts from a diffuse light source. Phys. Lett., A 147, 389–392.
68.
LagendijkA. (1990) Comment on Invariance of the spectrum of light on propagation.Phys. Rev. Lett., 65, 2082–2082.
69.
ShiraiT., and AsakuraT. (1995) Spectral changes of light induced by scattering from spatially random media under the Rytov approximation. J. Opt. Soc. Am., A 12, 1354–1363.
70.
ShiraiT., and AsakuraT. (1996) Multiple light scattering from spatially random media under the second-order Born approximation. Opt. Commun., 123, 234–249.
71.
LeskovaT. A., MaradudinA. A., ShchegrovA. V., and MéndezE. R. (1997) Spectral changes of light scattered from a bounded medium with a random surface. Phys. Rev. Lett., 79, 1010–1013.
72.
MalyshkinV., McGurnA. R., LeskovaT. A., MaradudinA. A., and Nieto-VesperinasM. (1997) Speckle correlations in the light scattered from weakly rough random metal surfaces. Waves in Random Media, 7, 479–520.
73.
ArsenievaA. D., and FengS. (1993) Correspondence between correlation functions and enhanced backscattering peak for scattering from smooth random surfaces. Phys. Rev., B 47, 13047–13050.
74.
BrownG. C., CelliV., CoopersmithM., and HallerM. (1982) Unitary formation for scattering from a hard corrugated wall. Phys. Lett., A 90, 361–363.
ShchegrovA. V., MaradudinA. A., and MéndezE. R.Multiple scattering of light from randomly rough surfaces. In: Progress in Optics, Vol. 46, WolfE. (ed.), (Elsevier, Amsterdam, 2004), pp. 117–241.
77.
LeskovaT. A., and MaradudinA. A.Multiple-scattering effects in angular intensity correlation functions. In: Light Scattering and Nanoscale Surface Roughness, MaradudinA. A. (ed.), (Springer, New York, 2006), pp. 371–408.
78.
FreilikherV., and YurkevichI. (1993) Some aspects of electromagnetic wave scattering from a nonabsorbing rough surface. Phys. Lett., A 183, 253–256.
79.
WestC. S., and O'DonnellK. A. (1999) Angular correlation functions of light scattered from weakly rough metal surfaces. Phys. Rev., B 59, 2393–2406.
80.
MalyshkinV., McGurnA. R., LeskovaT. A., MaradudinA. A., and Nieto-VesperinasM. (1997) Speckle correlations in the light scattered from weakly rough one-dimensional random metal surfaces. Opt. Lett., 22, 946–948.
81.
GoodmanJ. W.Statistical Optics(Wiley, New York, 1985), Ch. 2.
82.
StoffregenB. (1979) Speckle statistics for general scattering objects: II. Mean covariance and power spectrum of image speckle patterns. Optik, 52, 385–399.
83.
SimonsenI., LeskovaT. A., and MaradudinA. A. (2002) The angular intensity functions C(1) and C(10) for the scattering of light from randomly rough dielectric and metal surfaces. Waves in Random Media, 12, 307–319.
84.
Sanchez-GilJ. A., MaradudinA. A., and MéndezE. R. (1995) Limits of validity of three perturbation theories of the coherent scattering of light from one-dimensional randomly rough dielectric surfaces. J. Opt. Soc. Am., A 12, 1547–1558.
85.
Sánchez-GilJ. A. (1997) Degenerate optical memory effect in dielectric films with randomly rough surfaces. Phys. Rev., B 55, 15928–15936.
86.
McGurnA. R., and MaradudinA. A. (1998) Speckle correlations in the light scattered by a dielectric film with a rough surface: Guided wave effects. Phys. Rev., B 58, 5022–5031.
87.
McGurnA. R., and MaradudinA. A. (1998) Speckle correlations in the light reflected and transmitted by metal films with rough surfaces: surface wave effects. Opt. Commun., 155, 79–90.
88.
JohnsonP. W., and ChristieR. W. (1972) Optical constants of noble metals. Phys. Rev., B 6, 4370–4379.
89.
BursteinE., HartsteinA., SchoenwaldJ., MaradudinA. A., MillsD. L., and WallisR. F.Surface polaritons-electromagnetic waves at interfaces. In: Polaritons, BursteinE., and de MartiniF. (eds.), (Pergamon Press, New York, 1974), pp. 89–110.
90.
MaimanT. H. (1960) Optical and microwave-optical experiments in ruby. Phys. Rev. Lett., 4, 564–566.
91.
BrownF., ParksR. E., and SleeperA. M. (1965) Nonlinear optical reflection from a metallic boundary. Phys. Rev. Lett., 14, 1029–1031.
92.
BrownF., and ParksR. E. (1966) Magnetic-dipole contribution to optical harmonics in silver. Phys. Rev. Lett., 16, 507–509.
93.
JhaS. S. (1965) Nonlinear Optical Reflection from a Metal Surface. Phys. Rev. Lett., 15, 412–414.
94.
JhaS. S. (1966) Second-Order Optical Processes and Harmonic Fields in Solids. Phys. Rev., 145, 500–506.
95.
BloembergenN., ChangR. K., and LeeC. H. (1966) Second harmonic generation of light in reflection from media within version symmetry. Phys. Rev. Lett., 16, 986–989.
96.
BloembergenN., ChangR. K., JhaS. S., and LeeC. H. (1968) Optical second-harmonic generation in reflection from media with inversion simmetry. Phys. Rev., 174, 813–822.
97.
OttoA. (1968) Excitation of surface plasma waves in silver by the method of frustrated total reflection. Z. Physik, 216, 398–410.
98.
OttoA. (1970) Optical excitation of nonradiative surface plasma waves. physica status solidi (b), 42, K37–K39.
99.
KretschmannE. (1971) The determination of the optical constants of metals by excitation of surface plasmons. Z. Physik, 241, 313–324.
100.
SimonH. J., MitchellD. E., and WatsonJ. G. (1974) Optical second-harmonic generation with surface plasmons in silver films. Phys. Rev. Lett., 33, 1531–1534.
101.
SimonH. J., MitchellD. E., and WatsonJ. G. (1975) Second harmonic generation with surface plasmons in alkali metals. Opt. Commun., 13, 294–298.
102.
SipeJ. E., SoV. C. Y., FukuiM., and StegemanG. (1980) Analysis of second-harmonic generation at metal surfaces. Phys. Rev., B 21, 4389–4402.
103.
FariasG. A., and MaradudinA. A. (1984) Second harmonic generation in reflection from a metallic grating. Phys. Rev., B 30, 3002–3012.
104.
CoutazJ. L., NeviereM., PicE., and ReinischR. (1985) Experimental study of surface-enhanced second-harmonic generation on silver gratings. Phys. Rev., B 32, 2227–2232.
105.
SimonH. J., HuangC., QuailJ. C., and ChenZ. (1988) Second-harmonic generation with surface plasmons from a silvered quartz grating. Phys. Rev., B 38, 7408–7414.
106.
DeckR. T., and GrygierR. K. (1984) Surface-plasmon enhanced harmonic generation at a rough metal surface. Appl. Opt., 23, 3202–3213.
107.
McGurnA. R., AgranovichV. M., and LeskovaT. A. (1991) Weak-localization effects in the generation of second harmonics of light at a randomly rough vacuum-metal grating. Phys. Rev., B 44, 11441–11456.
108.
See, for example, ShenY. R., and DeMartiniF.Nonlinear wave interaction involving surface polaritons. In: Surface Polaritons, AgranovichV. M., and MillsD. L. (eds.), (North-Holland, Amsterdam, 1982), pp. 629–660.
109.
WangX., and SimonH. J. (1991) Directionally scattered optical second-harmonic generation with surface plasmons. Opt. Lett., 16, 1475–1477.
110.
SimonH. J., WangY., ZhouL.-B., and ChanZ. (1992) Coherent backscattering of optical second-harmonic generation with long-range surface plasmons. Opt. Lett., 17, 1268–1270.
111.
WangY., and SimonH. J. (1993) Coherent backscattering of optical second-harmonic generation in silver films. Phys. Rev., B 47, 13 695–699.
112.
AktsipetrovO. K., GolovkinaV. N., KapustaO. I., LeskovaT. A., and NovikovaN. N. (1992) Anderson localization effects in the second harmonic generation at a weakly rough metal surface. Phys. Lett., A 170, 231–234.
113.
KuangL., and SimonH. J. (1995) Diffusely scattered second harmonic generation from a silver film due to surface plasmons. Phys. Lett., A 197, 257–261.
114.
BozhevolnyiS. I., and PedersenK. (1997) Second harmonic generation due to surface plasmon localization. Surf. Sci., 377–9, 384–387.
115.
O'DonnellK. A., TorreR., and WestC. S. (1996) Observations of backscattering effects in second-harmonic generation from a weakly rough metal surface. Opt. Lett., 21, 1738–1740.
116.
O'DonnellK. A., TorreR., and WestC. S. (1997) Observations of second-harmonic generation from randomly rough metal surface. Phys. Rev., B 55, 7985–7992.
117.
O'DonnellK. A., and TorreR. (1997) Second-harmonic generation from strongly rough metal surfaces. Opt. Comm., 138, 341–344.
118.
Leyva-LuceroM., MéndezE. R., LeskovaT. A., MaradudinA. A., and LuJ. Q. (1996) Multiple scattering effects in the second harmonic generation of light in reflection from a randomly rough metal surface. Opt. Lett., 21, 1809–1811.
119.
Leyva-LuceroM. A., MéndezE. R., LeskovaT. A., and MaradudinA. A. (1999) Destructive interference effects in the second harmonic light generated at randomly rough metal surfaces. Opt. Commun., 161, 79–94.
120.
MaradudinA. A., LeskovaT. A., Leyva-LuceroM., and MéndezE. R.Multiple-scattering effects in the second harmonic generation of light in reflection from a randomly rough metal surface. In: Current topics in Physics in Honor of Sir Roger J. Elliott, BarrioR. A., and KaskiK. K. (Imperial College Press, London, 2005), pp. 245–297.
121.
BoydR. W.Nonlinear Optics (Academic Press, New York, 1992).
122.
McGilpJ. F. (1995) Optical characterization of semiconductor surfaces and interfaces. Progress in Surface Science, 49, 1–106.
123.
LüpkeG. (1999) Characterization of semiconductor interfaces by second-harmonic generation. Surface Science Reports, 35, 75–161.
124.
ShenY. R.The Principles of Nonlinear Optics (Wiley, New York, 1984), p. 10.
125.
ValenciaC. I., MéndezE. R., and MendozaB. S. (2003) Second-harmonic generation in the scattering of light by two-dimensional particles. J. Opt. Soc. Am., B 20, 2150–2161.
126.
SipeJ. E., and StegemanG. I.Nonlinear Optical Response of Metal Surfaces. In: SurfacePolaritons, AgranovichV. M., and MillsD. L. (eds.), (North-Holland, Amsterdam, 1982), pp. 661–701.
127.
LeskovaT. A., Leyva-LuceroM., MéndezE. R., MaradudinA. A., and NovikovI. V. (2000) The surface enhanced second harmonic generation of light from a randomly rough metal surface in the Kretschmann geometry. Opt. Commun., 183, 529–545.
128.
NovikovI. V., MaradudinA. A., LeskovaT. A., MéndezE. R., and Leyva-LuceroM. (2001) Second harmonic generation of light in the Kretschmann attenuated total reflection geometry in the presence of surface roughness. Waves Random Media, 11, 183–231.
129.
NevotL., and CroceP. (1980) Caractérisation des surfaces par réflexion rasante de rayons X. Application à l'étude du polissage de quelques verres silicates. Rev. Phys. Appl., 15, 761–769.
130.
SinhaS. K., SirotaE. E., GaroffS., and StanleyH. B. (1988) X-ray and neutron scattering from rough surfaces. Phys. Rev., B 38, 2297–2311.
131.
de BoerD. K. G. (1994) Influence of the roughness profile on the specular reflectivity of x-rays and neutrons. Phys. Rev., B 49, 5817–5820.
132.
Xiao-LinZhou, and Sow-HsinChen. (1995) Theoretical foundation of x-ray and neutron reflectometry. Phys. Rep., 257, 224–348.
133.
DietrichS., and HaaseA. (1995) Scattering of x-rays and neutrons at interfaces. Phys. Rep., 260, 1–138.
134.
DeBoerD. K. G. (1995) X-ray reflection and transmission by rough surfaces. Phys. Rev., B 51, 5297–5305.
135.
LeskovaT. A., MaradudinA. A., and Munoz-LopezJ. (2005) Coherence of light scattered from a randomly rough surface. Phys. Rev., E71, 036606–1–10.
136.
GreffetJ.-J., and CarminatiR.Speckle pattern in the near field. In: Light Scattering and Nanoscale Surface Roughness, MaradudinA. A. (ed.), (Springer, New York, 2006), pp. 409–433.
137.
YonedaY. (1963) Anaomalous surface reflection of X rays. Phys. Rev., 131, 2010–2013.
138.
GuentertO. J. (1963) Study of the anomalous surface reflection of X rays. J. Appl. Phys., 36, 1361–1366.
139.
NigamA. N. (1965) Origin of anomalous surface reflection of X rays. Phys. Rev., 138A, 1189–1191.
140.
KortrightJ. B. (1991) Nonspecular x-ray scattering from multilayer structures. J. Appl. Phys., 70, 3620–3625.
141.
SanyalM. K., SinhaS. K., HuangK. G., and OckoB. M. (1991) X-ray scattering study of capillary-wave fluctuations at a liquid surface. Phys. Rev. Lett., 66, 628–631.
142.
ApostolA. A., and DogariuA. (2003) Spatial correlations in the near field of random media. Phys. Rev. Lett., 91, 093901-1-4.
143.
ApostolA., and DogariuA. (2005) Non-Gaussian statistics of optical near-fields. Phys. Rev., E72, 025602–1–4.
144.
EganW. G., and HilgemanT. (1976) Retroreflectance measurements of photometric standards and coatings. Appl. Opt., 15, 1845–1849.
145.
EganW. G., and HilgemanT. (1977) Retroreflectance measurements of photometric standards and coatings. Part 2. Appl. Opt., 16, 2861–2864.
