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Reflectance

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of other parameters such as the reflectance of the rear surface. Another way to interpret this is that the reflectance is the fraction of electromagnetic power reflected from a specific sample, while reflectivity is a property of the material itself, which would be measured on a perfect machine if the material filled half of all space.
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reflecting objects. When reflection occurs from thin layers of material, internal reflection effects can cause the reflectance to vary with surface thickness. Reflectivity is the limit value of reflectance as the sample becomes thick; it is the intrinsic reflectance of the surface, hence irrespective
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is the incoming radiance averaged over all directions, in other words, the total flux of radiation hitting the surface per unit area, divided by π. This can be greater than 1 for a glossy surface illuminated by a source such as the sun, with the reflectance measured in the direction of maximum
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For specular surfaces, such as glass or polished metal, reflectance is nearly zero at all angles except at the appropriate reflected angle; that is the same angle with respect to the surface normal in the
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This depends on both the reflected direction and the incoming direction. In other words, it has a value for every combination of incoming and outgoing directions. It is related to the
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For diffuse surfaces, such as matte white paint, reflectance is uniform; radiation is reflected in all angles equally or near-equally. Such surfaces are said to be
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Fresnel reflection coefficients for a boundary surface between air and a variable material in dependence of the complex refractive index and the angle of incidence.
2188: 1155: 874:{\displaystyle R_{\Omega ,\lambda }={\frac {L_{\mathrm {e} ,\Omega ,\lambda }^{\mathrm {r} }}{L_{\mathrm {e} ,\Omega ,\lambda }^{\mathrm {i} }}},} 1928: 608: 2008: 58:. It is the fraction of incident electromagnetic power that is reflected at the boundary. Reflectance is a component of the response of the 770:{\displaystyle R_{\Omega ,\nu }={\frac {L_{\mathrm {e} ,\Omega ,\nu }^{\mathrm {r} }}{L_{\mathrm {e} ,\Omega ,\nu }^{\mathrm {i} }}},} 1017: 2218: 396:{\displaystyle R_{\lambda }={\frac {\Phi _{\mathrm {e} ,\lambda }^{\mathrm {r} }}{\Phi _{\mathrm {e} ,\lambda }^{\mathrm {i} }}},} 1053:, but on the opposing side. When the radiation is incident normal to the surface, it is reflected back into the same direction. 1973: 2258:
Light Reflection from Water Waves: Suitable Setup for a Polarimetric Investigation under Controlled Laboratory Conditions
2280: 566:{\displaystyle R_{\Omega }={\frac {L_{\mathrm {e} ,\Omega }^{\mathrm {r} }}{L_{\mathrm {e} ,\Omega }^{\mathrm {i} }}},} 310:{\displaystyle R_{\nu }={\frac {\Phi _{\mathrm {e} ,\nu }^{\mathrm {r} }}{\Phi _{\mathrm {e} ,\nu }^{\mathrm {i} }}},} 2176: 2000: 1141: 2256:
Ottaviani, M. and Stamnes, K. and Koskulics, J. and Eide, H. and Long, S.R. and Su, W. and Wiscombe, W., 2008: '
2316: 994: 2290: 2306: 993:) materials, reflectivity is the same as reflectance. Reflectivity is the square of the magnitude of the 67: 62:
of the material to the electromagnetic field of light, and is in general a function of the frequency, or
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and its upper limit is 1. Another measure of reflectance, depending only on the outgoing direction, is
2129: 160:{\displaystyle R={\frac {\Phi _{\mathrm {e} }^{\mathrm {r} }}{\Phi _{\mathrm {e} }^{\mathrm {i} }}},} 1037:
Given that reflectance is a directional property, most surfaces can be divided into those that give
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A real water surface may be wavy. Reflectance, which assumes a flat surface as given by the
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Most practical objects exhibit a combination of diffuse and specular reflective properties.
2104: 59: 52: 8: 2311: 2083:"Hazy Blue Worlds: A Holistic Aerosol Model for Uranus and Neptune, Including Dark Spots" 1968: 1114: 1080: 1038: 2109: 1432:, divided by the radiance incident onto that surface. This should not be confused with " 2222: 2152: 2139: 2094: 2082: 2057: 2030: 2001:"Thermal insulation — Heat transfer by radiation — Physical quantities and definitions" 1090:. Fresnel reflection is directional and therefore does not contribute significantly to 1050: 1042: 2172: 2157: 2144: 2062: 1098: 1087: 2198: 2202: 2193: 2134: 2124: 2114: 2052: 2044: 2035: 1006: 974: 2284: 2048: 629: 1002: 998: 55: 1397:, divided by that received by that surface. This should not be confused with " 1357:, divided by that received by that surface. This should not be confused with " 2300: 2197:, 2nd ed. (the "Gold Book") (1997). Online corrected version: (2006–) " 1948: 1723: 1692: 1656: 1630: 2206: 2148: 2066: 448: 417: 175: 19: 2119: 1933: 1441: 1406: 1366: 1336: 1010: 2242: 1938: 1483: 1433: 1398: 1358: 1286: 1251: 1215: 1189: 1118: 63: 1071: 24: 466:
is the spectral radiant flux in wavelength received by that surface.
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Cuzzi, Jeffrey; Chambers, Lindsey; Hendrix, Amanda (Oct 21, 2016).
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Reflectance of smooth water at 20 °C (refractive index 1.333).
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is the spectral radiant flux in frequency received by that surface;
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for a single layer, whereas the reflectance is always a positive
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is the spectral radiance in wavelength received by that surface.
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Specular reflection from a body of water is calculated by the
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into a second medium with a different index of refraction.
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per unit length, divided by that received by that volume.
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per unit length, divided by that received by that volume.
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per unit length, divided by that received by that volume.
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per unit length, divided by that received by that volume.
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Reflection occurs when light moves from a medium with one
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by the fact that reflectivity is a value that applies to
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E. Hecht (2001). Optics (4th ed.). Pearson Education.
782: 678: 492: 322: 236: 195: 105: 2028: 635: 623:is the radiance reflected in a given direction and 997:, which is the ratio of the reflected to incident 917:is the spectral radiance received by that surface; 873: 769: 565: 395: 309: 159: 2261:. Journal of Atmospheric and Oceanic Technology, 1130: 2298: 2031:"Rough Surfaces: is the dark stuff just shadow?" 206:spectral hemispherical reflectance in wavelength 1995: 1993: 1991: 1989: 1929:Bidirectional reflectance distribution function 1016:For layered and finite media, according to the 609:bidirectional reflectance distribution function 202:spectral hemispherical reflectance in frequency 1797:Spectral hemispherical attenuation coefficient 646:spectral directional reflectance in wavelength 1149: 642:spectral directional reflectance in frequency 1986: 1872:Spectral directional attenuation coefficient 1761:, divided by that received by that surface. 1718:, divided by that received by that surface. 1687:, divided by that received by that surface. 1651:, divided by that received by that surface. 1625:, divided by that received by that surface. 1579:, divided by that received by that surface. 1548:, divided by that received by that surface. 1512:, divided by that received by that surface. 86: 2080: 81: 1156: 1142: 470: 66:, of the light, its polarization, and the 2156: 2138: 2130:1983/65ee78f0-1d28-4017-bbd9-1b49b24700d7 2128: 2118: 2108: 2098: 2081:P.G.J Irwin; et al. (Jan 12, 2022). 2056: 1331:at the same temperature as that surface. 1281:at the same temperature as that surface. 1246:at the same temperature as that surface. 1210:at the same temperature as that surface. 603:is the radiance received by that surface. 2087:Journal of Geophysical Research: Planets 1070: 973: 18: 2219:"CIE International Lighting Vocabulary" 2182: 1113:The generalization of reflectance to a 989:For homogeneous and semi-infinite (see 2299: 956:Again, one can also define a value of 16:Capacity of an object to reflect light 1767:Hemispherical attenuation coefficient 1108: 1094:which primarily diffuses reflection. 1020:, reflectivity is distinguished from 2250: 2236: 1657:Spectral hemispherical transmittance 1066: 966:(see above) for a given wavelength. 1837:Directional attenuation coefficient 449:spectral radiant flux in wavelength 13: 2211: 2194:Compendium of Chemical Terminology 1724:Spectral directional transmittance 1518:Spectral hemispherical reflectance 1367:Spectral hemispherical absorptance 860: 848: 841: 829: 817: 810: 788: 756: 744: 737: 725: 713: 706: 684: 552: 546: 539: 527: 521: 514: 498: 418:spectral radiant flux in frequency 382: 369: 364: 357: 344: 339: 296: 283: 278: 271: 258: 253: 196:Spectral hemispherical reflectance 146: 139: 134: 127: 120: 115: 14: 2328: 2273: 1216:Spectral hemispherical emissivity 1101:, can be adjusted to account for 1749: 1706: 1675: 1639: 1613: 1585:Spectral directional reflectance 1567: 1536: 1500: 1470: 1442:Spectral directional absorptance 1420: 1385: 1345: 1315: 1265: 1234: 1198: 636:Spectral directional reflectance 23:Spectral reflectance curves for 1287:Spectral directional emissivity 1277:, divided by that emitted by a 1032: 969: 933:spectral radiance in wavelength 2165: 2073: 2022: 1182: 1131:Other radiometric coefficients 995:Fresnel reflection coefficient 898:spectral radiance in frequency 1: 1979: 1974:Lyddane–Sachs–Teller relation 672:respectively, are defined as 230:respectively, are defined as 2049:10.1016/j.icarus.2016.10.018 7: 1922: 1631:Hemispherical transmittance 1117:, which disperses light by 10: 2333: 981: 76:spectral reflectance curve 1693:Directional transmittance 1492:Hemispherical reflectance 1337:Hemispherical absorptance 1173: 1170: 1167: 93:hemispherical reflectance 87:Hemispherical reflectance 1190:Hemispherical emissivity 984:Fresnel power reflection 82:Mathematical definitions 51:is its effectiveness in 2279:Reflectivity of metals 2207:10.1351/goldbook.R05235 1959:Light Reflectance Value 1554:Directional reflectance 1407:Directional absorptance 1327:, divided by that of a 1242:, divided by that of a 1238:Spectral exitance of a 1206:, divided by that of a 1137:Radiometry coefficients 477:directional reflectance 471:Directional reflectance 1819:Spectral radiant flux 1252:Directional emissivity 1202:Radiant exitance of a 1124:diffraction efficiency 1076: 979: 875: 771: 648:of a surface, denoted 567: 479:of a surface, denoted 397: 311: 208:of a surface, denoted 161: 95:of a surface, denoted 40: 2317:Dimensionless numbers 2245:The Art of Radiometry 1074: 1005:as determined by the 977: 876: 772: 568: 398: 312: 162: 22: 2120:10.1029/2022JE007189 2093:(6): e2022JE007189. 1944:Lambert's cosine law 1041:and those that give 780: 676: 490: 320: 234: 188:is the radiant flux 181:by that surface and 103: 72:reflectance spectrum 60:electronic structure 47:of the surface of a 39:at normal incidence. 2307:Physical quantities 2110:2022JGRE..12707189I 1969:Reststrahlen effect 1484:spectral absorbance 1399:spectral absorbance 1164: 1115:diffraction grating 1081:index of refraction 1039:specular reflection 865: 834: 761: 730: 628:radiance (see also 557: 532: 387: 362: 301: 276: 151: 132: 2283:2016-03-04 at the 2243:Palmer and Grant, 1904:Spectral radiance 1753:Spectral radiance 1617:Spectral radiance 1474:Spectral radiance 1319:Spectral radiance 1135: 1109:Grating efficiency 1077: 1051:plane of incidence 1043:diffuse reflection 980: 871: 835: 804: 767: 731: 700: 563: 533: 508: 393: 363: 338: 307: 277: 252: 157: 133: 114: 68:angle of incidence 41: 1920: 1919: 1099:Fresnel equations 1088:Fresnel equations 1067:Water reflectance 1007:Fresnel equations 866: 762: 558: 388: 302: 192:by that surface. 152: 2324: 2291:Reflectance Data 2267: 2254: 2248: 2240: 2234: 2233: 2231: 2230: 2221:. Archived from 2215: 2209: 2186: 2180: 2169: 2163: 2162: 2160: 2142: 2132: 2122: 2112: 2102: 2079:See for example 2077: 2071: 2070: 2060: 2026: 2020: 2019: 2017: 2016: 1997: 1898: 1886: 1848: 1813: 1806: 1773: 1747: 1735: 1704: 1673: 1666: 1637: 1611: 1599: 1565: 1534: 1527: 1498: 1468: 1456: 1418: 1383: 1376: 1343: 1313: 1301: 1263: 1232: 1225: 1196: 1184: 1165: 1158: 1151: 1144: 1134: 965: 951: 938:by that surface; 930: 916: 903:by that surface; 895: 880: 878: 877: 872: 867: 864: 863: 857: 844: 833: 832: 826: 813: 803: 798: 797: 776: 774: 773: 768: 763: 760: 759: 753: 740: 729: 728: 722: 709: 699: 694: 693: 671: 659: 602: 592:by that surface; 584: 572: 570: 569: 564: 559: 556: 555: 549: 542: 531: 530: 524: 517: 507: 502: 501: 486:, is defined as 465: 454:by that surface; 446: 434: 423:by that surface; 415: 402: 400: 399: 394: 389: 386: 385: 379: 372: 361: 360: 354: 347: 337: 332: 331: 316: 314: 313: 308: 303: 300: 299: 293: 286: 275: 274: 268: 261: 251: 246: 245: 229: 218: 187: 173: 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638: 630:Seeliger effect 601: 595: 583: 577: 551: 550: 538: 537: 526: 525: 513: 512: 506: 497: 493: 491: 488: 487: 485: 473: 464: 457: 445: 438: 433: 426: 414: 407: 381: 380: 368: 367: 356: 355: 343: 342: 336: 327: 323: 321: 318: 317: 295: 294: 282: 281: 270: 269: 257: 256: 250: 241: 237: 235: 232: 231: 228: 220: 217: 209: 198: 186: 182: 172: 168: 145: 144: 138: 137: 126: 125: 119: 118: 112: 104: 101: 100: 96: 89: 84: 17: 12: 11: 5: 2330: 2320: 2319: 2314: 2309: 2295: 2294: 2288: 2275: 2274:External links 2272: 2269: 2268: 2249: 2235: 2210: 2181: 2164: 2072: 2021: 1984: 1983: 1981: 1978: 1977: 1976: 1971: 1966: 1961: 1956: 1951: 1946: 1941: 1936: 1931: 1924: 1921: 1918: 1917: 1902: 1899: 1892: 1880: 1874: 1868: 1867: 1852: 1849: 1845: 1839: 1833: 1832: 1817: 1814: 1810: 1803: 1799: 1793: 1792: 1777: 1774: 1769: 1763: 1762: 1751: 1748: 1741: 1732: 1726: 1720: 1719: 1708: 1705: 1701: 1695: 1689: 1688: 1679:Spectral flux 1677: 1674: 1670: 1663: 1659: 1653: 1652: 1641: 1638: 1633: 1627: 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Retrieved 2004: 1913: 1909: 1905: 1894: 1889: 1882: 1877: 1863: 1859: 1855: 1842: 1828: 1824: 1820: 1788: 1784: 1780: 1758: 1754: 1743: 1738: 1729: 1715: 1711: 1698: 1684: 1680: 1648: 1644: 1622: 1618: 1607: 1602: 1595: 1590: 1584: 1576: 1572: 1559: 1553: 1545: 1541: 1517: 1509: 1505: 1491: 1479: 1475: 1464: 1459: 1452: 1447: 1429: 1425: 1412: 1394: 1390: 1354: 1350: 1328: 1324: 1320: 1309: 1304: 1297: 1292: 1278: 1274: 1270: 1257: 1243: 1239: 1207: 1203: 1122: 1121:, is called 1112: 1096: 1085: 1078: 1062: 1055: 1047: 1036: 1033:Surface type 1025: 1021: 1015: 988: 970:Reflectivity 962: 958: 955: 947: 942: 935: 926: 921: 912: 907: 900: 891: 886: 667: 662: 655: 650: 645: 641: 639: 624: 620: 616: 612: 606: 596: 589: 578: 480: 476: 474: 461: 451: 442: 430: 420: 411: 225: 221: 214: 210: 205: 201: 199: 189: 178: 176:radiant flux 92: 90: 75: 71: 44: 42: 2265:, 715--728. 2199:Reflectance 2043:: 281–294. 1934:Colorimetry 1755:transmitted 1712:transmitted 1681:transmitted 1645:transmitted 1022:reflectance 1011:real number 45:reflectance 35:(Au) metal 2312:Radiometry 2301:Categories 2229:2010-12-04 2100:2201.04516 2015:2015-03-15 1980:References 1939:Emissivity 1434:absorbance 1359:absorbance 1329:black body 1279:black body 1244:black body 1208:black body 1119:wavelength 1058:Lambertian 64:wavelength 53:reflecting 31:(Ag), and 2158:245877540 1910:scattered 1860:scattered 1854:Radiance 1825:scattered 1785:scattered 1710:Radiance 1619:reflected 1573:reflected 1571:Radiance 1542:reflected 1506:reflected 1424:Radiance 1269:Radiance 1171:SI units 1168:Quantity 991:halfspace 936:reflected 901:reflected 855:λ 849:Ω 824:λ 818:Ω 795:λ 789:Ω 751:ν 745:Ω 720:ν 714:Ω 691:ν 685:Ω 590:reflected 547:Ω 522:Ω 499:Ω 452:reflected 421:reflected 377:λ 365:Φ 352:λ 340:Φ 329:λ 291:ν 279:Φ 266:ν 254:Φ 243:ν 179:reflected 135:Φ 116:Φ 25:aluminium 2281:Archived 2149:35865671 2067:31708591 1954:Sun path 1923:See also 1906:absorbed 1856:absorbed 1821:absorbed 1781:absorbed 1476:absorbed 1426:absorbed 1391:absorbed 1351:absorbed 1103:waviness 619:, where 587:radiance 190:received 49:material 2140:9286428 2105:Bibcode 2058:6839776 1759:surface 1716:surface 1685:surface 1649:surface 1623:surface 1577:surface 1546:surface 1510:surface 1480:surface 1430:surface 1395:surface 1355:surface 1325:surface 1321:emitted 1275:surface 1271:emitted 1240:surface 1204:surface 931:is the 896:is the 585:is the 447:is the 416:is the 174:is the 37:mirrors 2263:25 (5) 2175:  2155:  2147:  2137:  2065:  2055:  2036:Icarus 1964:Albedo 1914:volume 1864:volume 1829:volume 1789:volume 1174:Notes 1092:albedo 881:where 573:where 403:where 167:where 29:silver 27:(Al), 2189:IUPAC 2153:S2CID 2095:arXiv 1912:by a 1862:by a 1827:by a 1787:by a 1757:by a 1714:by a 1683:by a 1647:by a 1621:by a 1575:by a 1544:by a 1508:by a 1478:by a 1428:by a 1393:by a 1353:by a 1323:by a 1273:by a 1179:Name 1026:thick 2173:ISBN 2145:PMID 2063:PMID 1908:and 1858:and 1823:and 1783:and 1183:Sym. 946:e,Ω, 925:e,Ω, 911:e,Ω, 890:e,Ω, 660:and 644:and 640:The 475:The 219:and 204:and 200:The 91:The 43:The 33:gold 2203:doi 2201:". 2135:PMC 2125:hdl 2115:doi 2091:127 2053:PMC 2045:doi 2041:289 2009:ISO 1733:Ω,ν 1486:". 1436:". 1401:". 1361:". 1018:CIE 632:). 600:e,Ω 582:e,Ω 74:or 2303:: 2191:, 2151:. 2143:. 2133:. 2123:. 2113:. 2103:. 2089:. 2085:. 2061:. 2051:. 2039:. 2033:. 2007:. 2003:. 1988:^ 1901:m 1893:Ω, 1881:Ω, 1851:m 1816:m 1776:m 1750:— 1742:Ω, 1707:— 1676:— 1640:— 1614:— 1606:Ω, 1594:Ω, 1568:— 1537:— 1501:— 1471:— 1463:Ω, 1451:Ω, 1421:— 1386:— 1346:— 1316:— 1308:Ω, 1296:Ω, 1266:— 1235:— 1199:— 1127:. 1105:. 1060:. 1045:. 1013:. 666:Ω, 654:Ω, 460:e, 441:e, 429:e, 410:e, 78:. 2293:. 2287:. 2232:. 2205:: 2179:. 2161:. 2127:: 2117:: 2107:: 2097:: 2069:. 2047:: 2018:. 1895:λ 1890:μ 1883:ν 1878:μ 1846:Ω 1843:μ 1811:λ 1809:μ 1804:ν 1802:μ 1772:μ 1744:λ 1739:T 1730:T 1702:Ω 1699:T 1671:λ 1669:T 1664:ν 1662:T 1636:T 1608:λ 1603:R 1596:ν 1591:R 1563:Ω 1560:R 1532:λ 1530:R 1525:ν 1523:R 1497:R 1465:λ 1460:A 1453:ν 1448:A 1416:Ω 1413:A 1381:λ 1379:A 1374:ν 1372:A 1342:A 1310:λ 1305:ε 1298:ν 1293:ε 1261:Ω 1258:ε 1230:λ 1228:ε 1223:ν 1221:ε 1195:ε 1157:e 1150:t 1143:v 986:. 963:F 961:/ 959:I 948:λ 943:L 927:λ 922:L 913:ν 908:L 892:ν 887:L 869:, 861:i 852:, 846:, 842:e 837:L 830:r 821:, 815:, 811:e 806:L 800:= 792:, 785:R 765:, 757:i 748:, 742:, 738:e 733:L 726:r 717:, 711:, 707:e 702:L 696:= 688:, 681:R 668:λ 663:R 656:ν 651:R 625:F 621:I 617:F 615:/ 613:I 597:L 579:L 561:, 553:i 544:, 540:e 535:L 528:r 519:, 515:e 510:L 504:= 495:R 484:Ω 481:R 462:λ 458:Φ 443:λ 439:Φ 431:ν 427:Φ 412:ν 408:Φ 391:, 383:i 374:, 370:e 358:r 349:, 345:e 334:= 325:R 305:, 297:i 288:, 284:e 272:r 263:, 259:e 248:= 239:R 226:λ 222:R 215:ν 211:R 185:e 183:Φ 171:e 169:Φ 155:, 147:i 140:e 128:r 121:e 110:= 107:R 97:R

Index


aluminium
silver
gold
mirrors
material
reflecting
radiant energy
electronic structure
wavelength
angle of incidence
radiant flux
spectral radiant flux in frequency
spectral radiant flux in wavelength
radiance
bidirectional reflectance distribution function
Seeliger effect
spectral radiance in frequency
spectral radiance in wavelength

Fresnel power reflection
halfspace
Fresnel reflection coefficient
electric field
complex number
Fresnel equations
real number
CIE
specular reflection
diffuse reflection

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