Knowledge

Scattering from rough surfaces

Source πŸ“

401: 78: 337: 359:
Mie theory can describe how electromagnetic waves interact with homogeneously spherical particles. However, a theory for homogeneous spheres will completely fail to predict polarization effects. When the size of the molecules is greater than the wavelength of light, the result is a non-uniform
97:, which may be constructed from a sandwich of different layers of semiconductor. Variations in the thickness of these layers therefore causes the energy of particles to be dependent on their in-plane location in the layer. Classification of the roughness at a given position, 189: 392:
orientation is represented equally in a powdered sample. Powder X-ray diffraction (PXRD) operates under the assumption that the sample is randomly arranged such that each plane will be represented in the
369:
This type of scattering occurs when a surface has microscopic irregularities that scatter light perfectly uniformly in all directions, causing it to appear equally bright from all viewing angles.
513:
Konan, N.A., Kannengieser, O., Simonin, O. (2009) "Stochastic modeling of the multiple rebound effects for particle-rough wall collisions" International Journal of Multiphase Flow 35(10), 933–945
133: 608:"A model for estimating bulk refractive index from the optical backscattering ratio and the implications for understanding particle composition in case I and case II waters" 66: 332:{\displaystyle \langle \Delta _{z}(\mathbf {r} )\Delta _{z}(\mathbf {r'} )\rangle =\Delta ^{2}\exp \left(-{\frac {|\mathbf {r} -\mathbf {r'} |^{2}}{\Lambda ^{2}}}\right)} 181: 161: 37:
of particles against a rough solid surface or imperfect interface between two different materials. This effect has been observed in classical systems, such as
444:
Sommerfeld, M., Huber, N. (1999) "Experimental analysis and modelling of particle-wall collisions." International Journal of Multiphase Flow 25(6), 1457–1489
93:
systems, in which the energies for charge carriers are determined by the locations of interfaces. An example of such a system is a
557:
Sakaki, H.; Noda, T.; Hirakawa, K.; Tanaka, M.; Matsusue, T. (1987), "Interface roughness scattering in GaAs/AlAs quantum wells",
378:
This type of scattering occurs when light scatters within a material before exiting the surface at a different point.
523:
Prange, R. E.; Nee, Tsu-Wei (1968), "Quantum Spectroscopy of the Low-Field Oscillations in the Surface Impedance",
100: 46: 594:
Refractive indices and morphologies of aquatic particles. Light Scattering by Particles in Water, 447–558.
364: 50: 373: 136: 607: 622: 566: 532: 481: 654: 90: 62: 497: 471: 383: 86: 17: 166: 31: 146: 630: 574: 540: 489: 140: 42: 626: 570: 536: 485: 81:
The energy of charged particles in a quantum well is strongly affected by its thickness.
353: 454:
Valavanis, A.; Ikonić, Z.; Kelsall, R. W. (2008), "Intersubband carrier scattering in
400: 648: 501: 69:
governing the incoming particles, leading to net momentum loss of the particle flux.
38: 94: 77: 389: 493: 34: 65:
framework, a rough surface, such as a machined metal surface, randomizes the
544: 634: 350:
In selective Scattering scattering depends upon the wavelength of light.
139:
by some researchers This assumption may be formulated in terms of the
135:, is complex, but as in the classical models, it has been modeled as a 579: 476: 76: 395: 412: 192: 169: 149: 103: 331: 175: 155: 127: 462:βˆ’Si/SiGe quantum wells with diffuse interfaces", 89:framework, this scattering is most noticeable in 45:, where it arises electronic devices, such as 8: 388:: This type of scattering occurs when every 243: 193: 592:Jonasz, M., & Fournier, G. R. (2007). 606:Twardowski; et al. (July 15, 2001). 578: 475: 316: 305: 300: 289: 281: 276: 273: 253: 230: 221: 209: 200: 191: 168: 148: 128:{\displaystyle \Delta _{z}(\mathbf {r} )} 117: 108: 102: 437: 143:for some given characteristic height, 7: 596:doi:10.1016/b978-012388751-1/50006-5 382:Isotropic crystal scattering (aka 313: 250: 218: 197: 170: 150: 105: 14: 67:probability distribution function 637:– via University Of Maine. 399: 291: 282: 232: 210: 118: 615:Journal of Geophysical Research 301: 277: 240: 227: 214: 206: 122: 114: 28:interface roughness scattering 1: 16:For scattering of light, see 24:Surface roughness scattering 348:Selective Scattering : 671: 494:10.1103/PhysRevB.77.075312 163:, and correlation length, 15: 176:{\displaystyle \Lambda } 47:field effect transistors 559:Applied Physics Letters 545:10.1103/PhysRev.168.779 156:{\displaystyle \Delta } 41:scattering, as well as 333: 177: 157: 129: 82: 51:quantum cascade lasers 374:Subsurface Scattering 365:Lambertian Scattering 360:scattering of light. 334: 178: 158: 137:Gaussian distribution 130: 80: 57:Classical description 635:10.1029/2000JC000404 190: 167: 147: 101: 627:2001JGR...10614129T 621:(C7): 14129–14142. 571:1987ApPhL..51.1934S 537:1968PhRv..168..779P 486:2008PhRvB..77g5312V 343:Types of Scattering 73:Quantum description 63:classical mechanics 411:. You can help by 384:powder diffraction 329: 173: 153: 125: 87:quantum mechanical 83: 18:Diffuse reflection 565:(23): 1934–1936, 464:Physical Review B 429: 428: 322: 662: 639: 638: 612: 603: 597: 590: 584: 583: 582: 554: 548: 547: 520: 514: 511: 505: 504: 479: 451: 445: 442: 424: 421: 403: 396: 338: 336: 335: 330: 328: 324: 323: 321: 320: 311: 310: 309: 304: 298: 297: 285: 280: 274: 258: 257: 239: 238: 226: 225: 213: 205: 204: 182: 180: 179: 174: 162: 160: 159: 154: 141:ensemble average 134: 132: 131: 126: 121: 113: 112: 670: 669: 665: 664: 663: 661: 660: 659: 645: 644: 643: 642: 610: 605: 604: 600: 591: 587: 580:10.1063/1.98305 556: 555: 551: 525:Physical Review 522: 521: 517: 512: 508: 453: 452: 448: 443: 439: 434: 425: 419: 416: 409:needs expansion 345: 312: 299: 290: 275: 269: 265: 249: 231: 217: 196: 188: 187: 165: 164: 145: 144: 104: 99: 98: 75: 59: 43:quantum systems 21: 12: 11: 5: 668: 666: 658: 657: 647: 646: 641: 640: 598: 585: 549: 531:(3): 779–786, 515: 506: 446: 436: 435: 433: 430: 427: 426: 406: 404: 354:Mie scattering 344: 341: 340: 339: 327: 319: 315: 308: 303: 296: 293: 288: 284: 279: 272: 268: 264: 261: 256: 252: 248: 245: 242: 237: 234: 229: 224: 220: 216: 212: 208: 203: 199: 195: 172: 152: 124: 120: 116: 111: 107: 74: 71: 58: 55: 13: 10: 9: 6: 4: 3: 2: 667: 656: 653: 652: 650: 636: 632: 628: 624: 620: 616: 609: 602: 599: 595: 589: 586: 581: 576: 572: 568: 564: 560: 553: 550: 546: 542: 538: 534: 530: 526: 519: 516: 510: 507: 503: 499: 495: 491: 487: 483: 478: 473: 470:(7): 075312, 469: 465: 461: 457: 450: 447: 441: 438: 431: 423: 414: 410: 407:This section 405: 402: 398: 397: 394: 391: 387: 385: 379: 377: 375: 370: 368: 366: 361: 358: 355: 351: 349: 342: 325: 317: 306: 294: 286: 270: 266: 262: 259: 254: 246: 235: 222: 201: 186: 185: 184: 142: 138: 109: 96: 92: 88: 79: 72: 70: 68: 64: 56: 54: 52: 48: 44: 40: 39:microparticle 36: 33: 29: 25: 19: 618: 614: 601: 593: 588: 562: 558: 552: 528: 524: 518: 509: 467: 463: 459: 455: 449: 440: 417: 413:adding to it 408: 381: 380: 372: 371: 363: 362: 356: 352: 347: 346: 183:, such that 95:quantum well 84: 60: 27: 23: 22: 390:crystalline 655:Scattering 35:scattering 502:118781380 477:0908.0552 420:June 2008 314:Λ 287:− 271:− 263:⁡ 251:Δ 244:⟩ 219:Δ 198:Δ 194:⟨ 171:Λ 151:Δ 106:Δ 649:Category 295:′ 236:′ 91:confined 623:Bibcode 567:Bibcode 533:Bibcode 482:Bibcode 393:signal. 357: : 85:In the 61:In the 32:elastic 30:is the 500:  458:- and 611:(PDF) 498:S2CID 472:arXiv 432:Notes 49:and 631:doi 619:106 575:doi 541:doi 529:168 490:doi 415:. 260:exp 26:or 651:: 629:. 617:. 613:. 573:, 563:51 561:, 539:, 527:, 496:, 488:, 480:, 468:77 466:, 53:. 633:: 625:: 577:: 569:: 543:: 535:: 492:: 484:: 474:: 460:p 456:n 422:) 418:( 386:) 376:: 367:: 326:) 318:2 307:2 302:| 292:r 283:r 278:| 267:( 255:2 247:= 241:) 233:r 228:( 223:z 215:) 211:r 207:( 202:z 123:) 119:r 115:( 110:z 20:.

Index

Diffuse reflection
elastic
scattering
microparticle
quantum systems
field effect transistors
quantum cascade lasers
classical mechanics
probability distribution function

quantum mechanical
confined
quantum well
Gaussian distribution
ensemble average
Mie scattering
Lambertian Scattering
Subsurface Scattering
powder diffraction
crystalline

adding to it
arXiv
0908.0552
Bibcode
2008PhRvB..77g5312V
doi
10.1103/PhysRevB.77.075312
S2CID
118781380

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.

↑