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Volumn 23, Issue 2, 2006, Pages 314-328

Coherence solution for bidirectional reflectance distributions of surfaces with wavelength-scale statistics

Author keywords

[No Author keywords available]

Indexed keywords

ALUMINUM; APPROXIMATION THEORY; CORRELATION METHODS; INTEGRATION; INTERPOLATION; LIGHT REFLECTION; RANDOM PROCESSES; SURFACE ROUGHNESS;

EID: 33644552426     PISSN: 10847529     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAA.23.000314     Document Type: Article
Times cited : (20)

References (92)
  • 1
    • 0000373891 scopus 로고    scopus 로고
    • "Effects of target shape and reflection on laser radar cross sections"
    • O. Steinvall, "Effects of target shape and reflection on laser radar cross sections," Appl. Opt. 39, 4381-4391 (2000).
    • (2000) Appl. Opt. , vol.39 , pp. 4381-4391
    • Steinvall, O.1
  • 2
    • 0035758504 scopus 로고    scopus 로고
    • "Three-dimensional laser radar modelling"
    • G. W. Kamerman, ed., Proc. SPIE 4377
    • O. Steinvall and T. Carlsson, "Three-dimensional laser radar modelling," inLaser Radar Technology and Applications VI, G. W. Kamerman, ed., Proc. SPIE 4377, 23-24 (2001).
    • (2001) Laser Radar Technology and Applications VI , pp. 23-24
    • Steinvall, O.1    Carlsson, T.2
  • 3
  • 4
    • 0031646990 scopus 로고    scopus 로고
    • "BRDF models to predict spectral reflectance and emissivity in the thermal infrared"
    • W. C. Snyder and Z. Wan, "BRDF models to predict spectral reflectance and emissivity in the thermal infrared," IEEE Trans. Geosci. Remote Sens. 36, 214-225 (1998).
    • (1998) IEEE Trans. Geosci. Remote Sens. , vol.36 , pp. 214-225
    • Snyder, W.C.1    Wan, Z.2
  • 5
    • 0006664590 scopus 로고    scopus 로고
    • "Shapes and scattering properties of large irregular bodies from photometric data"
    • M. Kaasalainen, K. Muinonen, and T. Laakso, "Shapes and scattering properties of large irregular bodies from photometric data," Opt. Express 8, 296-301 (2001).
    • (2001) Opt. Express , vol.8 , pp. 296-301
    • Kaasalainen, M.1    Muinonen, K.2    Laakso, T.3
  • 8
    • 0035758812 scopus 로고    scopus 로고
    • "Modeling and simulation tools for high-energy laser safety applications"
    • A. F. Sisti and D. A. Trevisani, eds., Proc. SPIE 4367
    • P. A. Smith, D. A. van Veldhuizen, and K. S. Keppler, "Modeling and simulation tools for high-energy laser safety applications," in Enabling Technology for Simulation Science V, A. F. Sisti and D. A. Trevisani, eds., Proc. SPIE 4367, 478-485 (2001).
    • (2001) Enabling Technology for Simulation Science V , pp. 478-485
    • Smith, P.A.1    van Veldhuizen, D.A.2    Keppler, K.S.3
  • 9
    • 0035526423 scopus 로고    scopus 로고
    • "The importance of scatter in stray light analysis"
    • S. H. C. P. McCall, "The importance of scatter in stray light analysis," Opt. Photonics News 12(11), 40-47 (2001).
    • (2001) Opt. Photonics News , vol.12 , Issue.11 , pp. 40-47
    • McCall, S.H.C.P.1
  • 10
    • 0035369737 scopus 로고    scopus 로고
    • "Validation proposal for global illumination and rendering techniques"
    • F. Drago and K. Myszkowski, "Validation proposal for global illumination and rendering techniques," Comput. Graphics 25, 511-518 (2001).
    • (2001) Comput. Graphics , vol.25 , pp. 511-518
    • Drago, F.1    Myszkowski, K.2
  • 12
    • 5044227712 scopus 로고    scopus 로고
    • "3D texture recognition using bidirectional feature histograms"
    • O. G. Cula and K. J. Dana, "3D texture recognition using bidirectional feature histograms," Int. J. Comput. Vis. 59, 33-60 (2004).
    • (2004) Int. J. Comput. Vis. , vol.59 , pp. 33-60
    • Cula, O.G.1    Dana, K.J.2
  • 14
    • 0034131844 scopus 로고    scopus 로고
    • "Digital materials and virtual weathering"
    • J. Dorsey and P. Hanrahan, "Digital materials and virtual weathering," Sci. Am. 282(2), 64-71 (2000).
    • (2000) Sci. Am. , vol.282 , Issue.2 , pp. 64-71
    • Dorsey, J.1    Hanrahan, P.2
  • 16
    • 0036572489 scopus 로고    scopus 로고
    • "Acquiring, stitching, and blending diffuse appearance attributes on 3D models"
    • C. Rocchini, P. Cignoni, C. Montani, and R. Scopigno, "Acquiring, stitching, and blending diffuse appearance attributes on 3D models," Visual Comput. 18, 186-204 (2002).
    • (2002) Visual Comput. , vol.18 , pp. 186-204
    • Rocchini, C.1    Cignoni, P.2    Montani, C.3    Scopigno, R.4
  • 17
    • 0347899494 scopus 로고    scopus 로고
    • "Reflectance field based real-time, high-quality rendering of bidirectional texture functions"
    • J. Meseth, G. Müller, and R. Klein, "Reflectance field based real-time, high-quality rendering of bidirectional texture functions," Comput. Graphics 28, 105-112 (2004).
    • (2004) Comput. Graphics , vol.28 , pp. 105-112
    • Meseth, J.1    Müller, G.2    Klein, R.3
  • 18
    • 0001363539 scopus 로고
    • "Scattering from very rough metallic and dielectric surfaces: A theory based on the modified Kirchhoff approximation"
    • A. Ishimaru and J. S. Chen, "Scattering from very rough metallic and dielectric surfaces: a theory based on the modified Kirchhoff approximation," Waves Random Media 1, 25-34 (1991).
    • (1991) Waves Random Media , vol.1 , pp. 25-34
    • Ishimaru, A.1    Chen, J.S.2
  • 20
    • 0036663854 scopus 로고    scopus 로고
    • "High-order high-frequency solutions of rough surface scattering problems"
    • 10.1029/2000 RS002551
    • O. P. Bruno, A. Sei, and M. Caponi, "High-order high-frequency solutions of rough surface scattering problems," Radio Sci. 37, 10.1029/ 2000 RS002551 (2002).
    • (2002) Radio Sci. , vol.37
    • Bruno, O.P.1    Sei, A.2    Caponi, M.3
  • 21
    • 0035394370 scopus 로고    scopus 로고
    • "Rigorous solutions for electromagnetic scattering from rough surfaces"
    • M. Saillard and A. Sentenac, "Rigorous solutions for electromagnetic scattering from rough surfaces," Waves Random Media 11, R103-R137 (2001).
    • (2001) Waves Random Media , vol.11
    • Saillard, M.1    Sentenac, A.2
  • 22
    • 6344284493 scopus 로고    scopus 로고
    • "A critical survey of approximate scattering wave theories from random rough surfaces"
    • T. M. Elfouhaily and C.-A. Guérin, "A critical survey of approximate scattering wave theories from random rough surfaces," Waves Random Media 14, R1-R40 (2004).
    • (2004) Waves Random Media , vol.14
    • Elfouhaily, T.M.1    Guérin, C.-A.2
  • 23
    • 84980088843 scopus 로고
    • "Reflection of electromagnetic waves from slightly rough surfaces"
    • S. O. Rice, "Reflection of electromagnetic waves from slightly rough surfaces," Commun. Pure Appl. Math. 4, 351-378 (1951).
    • (1951) Commun. Pure Appl. Math. , vol.4 , pp. 351-378
    • Rice, S.O.1
  • 26
    • 0016520298 scopus 로고
    • "Scattering from rough surfaces"
    • G. S. Agarwal, "Scattering from rough surfaces," Opt. Commun. 14, 161-166 (1975).
    • (1975) Opt. Commun. , vol.14 , pp. 161-166
    • Agarwal, G.S.1
  • 27
    • 84975649471 scopus 로고
    • "Light scattering from random rough dielectric surfaces"
    • J. A. Sánchez-Gil and M. Nieto-Vesperinas, "Light scattering from random rough dielectric surfaces," J. Opt. Soc. Am. A 8, 1270-1286 (1991).
    • (1991) J. Opt. Soc. Am. A , vol.8 , pp. 1270-1286
    • Sánchez-Gil, J.A.1    Nieto-Vesperinas, M.2
  • 31
    • 1942424309 scopus 로고
    • "Scattering and diffraction"
    • S. Silver, ed. (McGraw-Hill) Chap. 5
    • S. Silver, "Scattering and diffraction," in Microwave Antenna Theory and Design, S. Silver, ed. (McGraw-Hill, 1949), Chap. 5.
    • (1949) Microwave Antenna Theory and Design
    • Silver, S.1
  • 32
    • 0015161301 scopus 로고
    • "Bidirectional scattering of electromagnetic waves from rough surfaces"
    • J. C. Leader, "Bidirectional scattering of electromagnetic waves from rough surfaces," J. Appl. Phys. 42, 4808-4816 (1971).
    • (1971) J. Appl. Phys. , vol.42 , pp. 4808-4816
    • Leader, J.C.1
  • 33
    • 0018458394 scopus 로고
    • "Analysis and prediction of laser scattering from rough-surface materials"
    • J. C. Leader, "Analysis and prediction of laser scattering from rough-surface materials," J. Opt. Soc. Am. 69, 610-628 (1979).
    • (1979) J. Opt. Soc. Am. , vol.69 , pp. 610-628
    • Leader, J.C.1
  • 34
    • 0040042398 scopus 로고
    • "A note on the theory of scattering from an irregular surface"
    • R. D. Kodis, "A note on the theory of scattering from an irregular surface," IEEE Trans. Antennas Propag. AP-14, 77-82 (1966).
    • (1966) IEEE Trans. Antennas Propag. AP-14 , pp. 77-82
    • Kodis, R.D.1
  • 35
    • 0001397551 scopus 로고
    • "Theory for off-specular reflection from roughened surfaces"
    • K. E. Torrance and E. M. Sparrow, "Theory for off-specular reflection from roughened surfaces," J. Opt. Soc. Am. 57, 1105-1114 (1967).
    • (1967) J. Opt. Soc. Am. , vol.57 , pp. 1105-1114
    • Torrance, K.E.1    Sparrow, E.M.2
  • 36
    • 84937999805 scopus 로고
    • "Rough surface scattering based on the specular point theory"
    • D. E. Barrick, "Rough surface scattering based on the specular point theory," IEEE Trans. Antennas Propag. AP-16, 449-454 (1968).
    • (1968) IEEE Trans. Antennas Propag. AP-16 , pp. 449-454
    • Barrick, D.E.1
  • 38
    • 0026119709 scopus 로고
    • "Numerical study of scattering by rough surfaces with intermediate and large scale roughness"
    • K. Ivanova, M. A. Michalev, and O. I. Yordanov, "Numerical study of scattering by rough surfaces with intermediate and large scale roughness," Radio Sci. 26, 505-510 (1991).
    • (1991) Radio Sci. , vol.26 , pp. 505-510
    • Ivanova, K.1    Michalev, M.A.2    Yordanov, O.I.3
  • 39
    • 0001655894 scopus 로고    scopus 로고
    • "Matrix treatment for partially polarized, partially coherent beams"
    • F. Gori, "Matrix treatment for partially polarized, partially coherent beams," Opt. Lett. 23, 241-243 (1998).
    • (1998) Opt. Lett. , vol.23 , pp. 241-243
    • Gori, F.1
  • 40
    • 0141908084 scopus 로고    scopus 로고
    • "Unified theory of coherence and polarization of random electromagnetic beams"
    • E. Wolf, "Unified theory of coherence and polarization of random electromagnetic beams," Phys. Lett. A 312, 263-267 (2003).
    • (2003) Phys. Lett. A , vol.312 , pp. 263-267
    • Wolf, E.1
  • 41
    • 28044452687 scopus 로고    scopus 로고
    • "Coherence and polarization properties of far-fields generated by quasi-homogeneous electromagnetic sources"
    • O. Korotkova, B. G. Hoover, V. L. Gamiz, and E. Wolf, "Coherence and polarization properties of far-fields generated by quasi-homogeneous electromagnetic sources," J. Opt. Soc. Am. A 22, 2547-2556 (2005).
    • (2005) J. Opt. Soc. Am. A , vol.22 , pp. 2547-2556
    • Korotkova, O.1    Hoover, B.G.2    Gamiz, V.L.3    Wolf, E.4
  • 42
    • 0003072301 scopus 로고
    • "Error function and Fresnel integrals"
    • 9th ed., M. Abramowitz and I. A. Stegun, eds. (Dover) Chap. 7
    • W. Gautschi, "Error function and Fresnel integrals," in Handbook of Mathematical Functions, 9th ed., M. Abramowitz and I. A. Stegun, eds. (Dover, 1972), Chap. 7.
    • (1972) Handbook of Mathematical Functions
    • Gautschi, W.1
  • 43
    • 0001008989 scopus 로고
    • "Numerous neat algorithms for the Voight profile function"
    • W. J. Thompson, "Numerous neat algorithms for the Voight profile function," Comput. Phys. 7, 627-631 (1993).
    • (1993) Comput. Phys. , vol.7 , pp. 627-631
    • Thompson, W.J.1
  • 44
    • 0032965820 scopus 로고    scopus 로고
    • "Rapid approximation to the Voight/Faddeeva function and its derivatives"
    • R. J. Wells, "Rapid approximation to the Voight/Faddeeva function and its derivatives," J. Quant. Spectrosc. Radiat. Transf. 62, 29-48 (1999).
    • (1999) J. Quant. Spectrosc. Radiat. Transf. , vol.62 , pp. 29-48
    • Wells, R.J.1
  • 45
    • 0000092297 scopus 로고    scopus 로고
    • "Emission polarization of roughened glass and aluminum surfaces"
    • D. L. Jordan, G. D. Lewis, and E. Jakeman, "Emission polarization of roughened glass and aluminum surfaces," Appl. Opt. 35, 3583-3590 (1996).
    • (1996) Appl. Opt. , vol.35 , pp. 3583-3590
    • Jordan, D.L.1    Lewis, G.D.2    Jakeman, E.3
  • 46
    • 84894019336 scopus 로고
    • "Theory of radar scatter from rough surfaces, bistatic and monostatic, with application to lunar radar return"
    • A. K. Fung, "Theory of radar scatter from rough surfaces, bistatic and monostatic, with application to lunar radar return," J. Geophys. Res. 69, 1063-1073 (1964).
    • (1964) J. Geophys. Res. , vol.69 , pp. 1063-1073
    • Fung, A.K.1
  • 47
    • 5244239591 scopus 로고
    • "Scattering by composite rough surfaces"
    • P. Beckmann, "Scattering by composite rough surfaces," Proc. IEEE 53, 1012-1015 (1965).
    • (1965) Proc. IEEE , vol.53 , pp. 1012-1015
    • Beckmann, P.1
  • 48
    • 33644504046 scopus 로고
    • "Effects of structure size on moon and earth radar returns at various angles"
    • A. K. Fung and R. K. Moore, "Effects of structure size on moon and earth radar returns at various angles," J. Geophys. Res. 69, 1075-1081 (1964).
    • (1964) J. Geophys. Res. , vol.69 , pp. 1075-1081
    • Fung, A.K.1    Moore, R.K.2
  • 49
    • 84894017224 scopus 로고
    • "Angular scattering law for the moon at 6-meter wavelength"
    • W. K. Klemperer, "Angular scattering law for the moon at 6-meter wavelength," J. Geophys. Res. 70, 3798-3800 (1965).
    • (1965) J. Geophys. Res. , vol.70 , pp. 3798-3800
    • Klemperer, W.K.1
  • 50
    • 0042770498 scopus 로고
    • "Radar studies of planetary surfaces"
    • J. V. Evans, "Radar studies of planetary surfaces," Annu. Rev. Astron. Astrophys. 7, 201-248 (1969).
    • (1969) Annu. Rev. Astron. Astrophys. , vol.7 , pp. 201-248
    • Evans, J.V.1
  • 51
    • 0014770919 scopus 로고
    • "Unacceptable height correlation coefficients and the quasi-specular component in rough surface scattering"
    • D. E. Barrick, "Unacceptable height correlation coefficients and the quasi-specular component in rough surface scattering," Radio Sci.5, 647-654 (1970).
    • (1970) Radio Sci. , vol.5 , pp. 647-654
    • Barrick, D.E.1
  • 52
    • 0041532831 scopus 로고    scopus 로고
    • "Generalization of the geometrical-optics scattering limit for a rough conducting surface"
    • K. E. Warnick and D. V. Arnold, "Generalization of the geometrical-optics scattering limit for a rough conducting surface," J. Opt. Soc. Am. A 15, 2355-2361 (1998).
    • (1998) J. Opt. Soc. Am. A , vol.15 , pp. 2355-2361
    • Warnick, K.E.1    Arnold, D.V.2
  • 53
    • 0002068881 scopus 로고
    • "Statistical properties of laser speckle patterns"
    • 2nd enlarged ed., J. C. Dainty, ed. (Springer-Verlag) Chap. 2
    • J. W. Goodman, "Statistical properties of laser speckle patterns," in Laser Speckle and Related Phenomena, 2nd enlarged ed., J. C. Dainty, ed. (Springer-Verlag, 1984), Chap. 2.
    • (1984) Laser Speckle and Related Phenomena
    • Goodman, J.W.1
  • 54
    • 0004290293 scopus 로고
    • A review of the radiometric units and notation used in this paper is provided in (Wiley)
    • A review of the radiometric units and notation used in this paper is provided in E. L. Dereniak and D. G. Crowe, Optical Radiation Detectors (Wiley, 1984).
    • (1984) Optical Radiation Detectors
    • Dereniak, E.L.1    Crowe, D.G.2
  • 55
    • 0000572780 scopus 로고
    • "Radiometry and coherence"
    • A. Walther, "Radiometry and coherence," J. Opt. Soc. Am. 58, 1256-1259 (1968).
    • (1968) J. Opt. Soc. Am. , vol.58 , pp. 1256-1259
    • Walther, A.1
  • 56
    • 0016485695 scopus 로고
    • "Angular distribution of radiant intensity from sources of different degrees of spatial coherence"
    • E. Wolf and W. H. Carter, "Angular distribution of radiant intensity from sources of different degrees of spatial coherence," Opt. Commun. 13, 205-209 (1975).
    • (1975) Opt. Commun. , vol.13 , pp. 205-209
    • Wolf, E.1    Carter, W.H.2
  • 58
    • 0019033571 scopus 로고
    • "Similarities and distinctions between coherence theory relations and laser scattering phenomena"
    • J. C. Leader, "Similarities and distinctions between coherence theory relations and laser scattering phenomena," Opt. Eng. (Bellingham) 19, 593-601 (1980).
    • (1980) Opt. Eng. (Bellingham) , vol.19 , pp. 593-601
    • Leader, J.C.1
  • 60
    • 17644392839 scopus 로고    scopus 로고
    • "Diffractive bidirectional reflectance distributions of surfaces with large effective roughness in one dimension"
    • U. N. Singh, ed., Proc. SPIE 5575
    • B. G. Hoover and V. L. Gamiz, "Diffractive bidirectional reflectance distributions of surfaces with large effective roughness in one dimension," in Laser Radar Techniques for Atmospheric Sensing, U. N. Singh, ed., Proc. SPIE 5575, 137-142 (2004).
    • (2004) Laser Radar Techniques for Atmospheric Sensing , pp. 137-142
    • Hoover, B.G.1    Gamiz, V.L.2
  • 62
    • 84894021418 scopus 로고    scopus 로고
    • note
    • x and Δx represent two-dimensional vectors in the plane of the average surface, i.e., x=xx̂+yŷ.
  • 64
    • 0014770919 scopus 로고
    • "Unacceptable height correlation coefficients and the quasi-specular component in rough surface scattering"
    • and references therein
    • See Ref. 51 and references therein.
    • (1970) Radio Sci. , vol.5 , pp. 647-654
    • Barrick, D.E.1
  • 70
    • 0003453053 scopus 로고
    • (Academic) Note that the function defined in this reference has its real and imaginary parts switched relative to the plasma dispersion function defined in Refs. 42-44 and 71
    • B. D. Fried and S. D. Conte, The Plasma Dispersion Function: The Hilbert Transform of the Gaussian (Academic, 1961). Note that the function defined in this reference has its real and imaginary parts switched relative to the plasma dispersion function defined in Refs. 42-44 and 71.
    • (1961) The Plasma Dispersion Function: The Hilbert Transform of the Gaussian
    • Fried, B.D.1    Conte, S.D.2
  • 71
    • 0004808456 scopus 로고
    • Tables of Values of the Function w(z)=e-z2) (1 + 21/√πλ0zet2 dt) for Complex Argument
    • V. A. Fok ed., translated by D. G. Fry (Pergamon)
    • V. N. Faddeeva and N. M. Terent'ev, Tables of Values of the Function w(z)=e-z2) (1 + 21/√πλ0z et2 dt) for Complex Argument, V. A. Fok ed., translated by D. G. Fry (Pergamon, 1961).
    • (1961)
    • Faddeeva, V.N.1    Terent'ev, N.M.2
  • 74
    • 0016548920 scopus 로고
    • "Coherence properties of Lambertian and non-Lambertian sources"
    • W. H. Carter and E. Wolf, "Coherence properties of Lambertian and non-Lambertian sources," J. Opt. Soc. Am. 65, 1067-1071 (1975).
    • (1975) J. Opt. Soc. Am. , vol.65 , pp. 1067-1071
    • Carter, W.H.1    Wolf, E.2
  • 75
    • 0016986714 scopus 로고
    • "Spectral coherence and the radiant intensity from statistically homogeneous and isotropic planar sources"
    • H. P. Baltes, B. Steinle, and G. Antes, "Spectral coherence and the radiant intensity from statistically homogeneous and isotropic planar sources," Opt. Commun. 18, 242-246 (1976).
    • (1976) Opt. Commun. , vol.18 , pp. 242-246
    • Baltes, H.P.1    Steinle, B.2    Antes, G.3
  • 76
    • 84894018795 scopus 로고    scopus 로고
    • note
    • The meanings of the terms "high frequency" and "low frequency" in coherence theory are unfortunately essentially opposite their meanings in scattering theory. Use of these terms in this context is therefore avoided.
  • 79
    • 84975569656 scopus 로고
    • "Experimental study of scattering from characterized random surfaces"
    • K. A. O'Donnell and E. R. Méndez, "Experimental study of scattering from characterized random surfaces," J. Opt. Soc. Am. A 4, 1194-1205 (1987).
    • (1987) J. Opt. Soc. Am. A , vol.4 , pp. 1194-1205
    • O'Donnell, K.A.1    Méndez, E.R.2
  • 80
    • 0014078406 scopus 로고
    • "Depolarization of linearly polarized EM waves backscattered from rough metals and inhomogeneous dielectrics"
    • J. Renau, P. K. Cheo, and H. G. Cooper, "Depolarization of linearly polarized EM waves backscattered from rough metals and inhomogeneous dielectrics," J. Opt. Soc. Am. 57, 459-466 (1967).
    • (1967) J. Opt. Soc. Am. , vol.57 , pp. 459-466
    • Renau, J.1    Cheo, P.K.2    Cooper, H.G.3
  • 81
    • 0014536757 scopus 로고
    • "Wavelength dependence of total and depolarized backscattered laser light from rough metallic surfaces"
    • P. K. Cheo and J. Renau, "Wavelength dependence of total and depolarized backscattered laser light from rough metallic surfaces, J. Opt. Soc. Am. 59, 821-826 (1969).
    • (1969) J. Opt. Soc. Am. , vol.59 , pp. 821-826
    • Cheo, P.K.1    Renau, J.2
  • 82
    • 0141725321 scopus 로고
    • "Direct and inverse problems for light scattered by rough surfaces"
    • E. Marx and T. V. Vorburger, "Direct and inverse problems for light scattered by rough surfaces," Appl. Opt. 29, 3613-3626 (1990).
    • (1990) Appl. Opt. , vol.29 , pp. 3613-3626
    • Marx, E.1    Vorburger, T.V.2
  • 83
    • 84894018559 scopus 로고    scopus 로고
    • "Optical measurements facility"
    • Air Force Research Laboratory, Materials & Manufacturing Directorate, Rep. AFRL-ML-WP-TR-1999-4142
    • L. Brainard, W. Lynn, D. Ramer, and W. Shemano, "Optical measurements facility," Air Force Research Laboratory, Materials & Manufacturing Directorate, Rep. AFRL-ML-WP-TR-1999-4142 (1999).
    • (1999)
    • Brainard, L.1    Lynn, W.2    Ramer, D.3    Shemano, W.4
  • 84
    • 0017947008 scopus 로고
    • "Explanation of the experimental results of light backscattered from a very rough surface"
    • C. C. Sung and W. D. Eberhardt, "Explanation of the experimental results of light backscattered from a very rough surface," J. Opt. Soc. Am. 68, 323-328 (1978).
    • (1978) J. Opt. Soc. Am. , vol.68 , pp. 323-328
    • Sung, C.C.1    Eberhardt, W.D.2
  • 85
    • 0018441820 scopus 로고
    • "Vector scattering theory"
    • A review of theory and measurements in the small-roughness regime is provided
    • A review of theory and measurements in the small-roughness regime is provided in J. M. Elson and J. M. Bennett, "Vector scattering theory," Opt. Eng. (Bellingham) 18, 116-124 (1979).
    • (1979) Opt. Eng. (Bellingham) , vol.18 , pp. 116-124
    • Elson, J.M.1    Bennett, J.M.2
  • 86
    • 0000997354 scopus 로고
    • "Comparison of surface scattering between identical, randomly rough metal and dielectric diffusers"
    • A. J. Sant, J. C. Dainty, and M.-J. Kim, "Comparison of surface scattering between identical, randomly rough metal and dielectric diffusers," Opt. Lett. 14, 1183-1185 (1989).
    • (1989) Opt. Lett. , vol.14 , pp. 1183-1185
    • Sant, A.J.1    Dainty, J.C.2    Kim, M.-J.3
  • 87
    • 84975674680 scopus 로고
    • "Experimental study of enhanced backscattering from one-and two-dimensional random rough surfaces"
    • M.-J. Kim, J. C. Dainty, A. T. Friberg, and A. J. Sant, "Experimental study of enhanced backscattering from one-and two-dimensional random rough surfaces," J. Opt. Soc. Am. A 7, 569-577 (1990).
    • (1990) J. Opt. Soc. Am. A , vol.7 , pp. 569-577
    • Kim, M.-J.1    Dainty, J.C.2    Friberg, A.T.3    Sant, A.J.4
  • 88
    • 84947822909 scopus 로고
    • "Multiple scattering from rough dielectric and metal surfaces using the Kirchhoff approximation"
    • N. C. Bruce and J. C. Dainty, "Multiple scattering from rough dielectric and metal surfaces using the Kirchhoff approximation," J. Mod. Opt. 38, 1471-1481 (1991).
    • (1991) J. Mod. Opt. , vol.38 , pp. 1471-1481
    • Bruce, N.C.1    Dainty, J.C.2
  • 89
    • 0000523912 scopus 로고    scopus 로고
    • "Radar scattering from a self-affine fractal surface: Near-nadir regime"
    • M. K. Shepard and B. A. Campbell, "Radar scattering from a self-affine fractal surface: near-nadir regime," Icarus 141, 156-171 (1999).
    • (1999) Icarus , vol.141 , pp. 156-171
    • Shepard, M.K.1    Campbell, B.A.2
  • 90
    • 0032022863 scopus 로고    scopus 로고
    • "Reciprocity of the bidirectional reflectance distribution function (BRDF) in measurements and models of structured surfaces"
    • W. C. Snyder, "Reciprocity of the bidirectional reflectance distribution function (BRDF) in measurements and models of structured surfaces," IEEE Trans. Geosci. Remote Sens. 36, 685-691 (1998).
    • (1998) IEEE Trans. Geosci. Remote Sens. , vol.36 , pp. 685-691
    • Snyder, W.C.1
  • 91
    • 84894020764 scopus 로고    scopus 로고
    • note
    • It is possible to dispense with the quasi-monochromatic conditions by using the cross-spectral density W(x1, x2, v) =λC(x1,x2,τ)exp(2πvτ)dτ rather than the coherence function, thus proceeding in the space-frequency rather than the space-time domain. Under the quasi-monochromatic conditions these two approaches are essentially equivalent.
  • 92
    • 84894014723 scopus 로고    scopus 로고
    • note
    • Some authors use the symbol μ, to represent the normalized mutual intensity function. We reserve μ for the analogous correlation function in the space-frequency domain.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.