Knowledge (XXG)

Power-law index profile

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637: 600: 182: 37: 604: 270: 431: 177:{\displaystyle n(r)={\begin{cases}n_{1}{\sqrt {1-2\Delta \left({r \over \alpha }\right)^{g}}}&r\leq \alpha \\n_{1}{\sqrt {1-2\Delta }}&r\geq \alpha \end{cases}}} 495: 451: 359: 332: 301: 570: 546: 515: 475: 678: 190: 615: 368: 609: 548:
takes a particular value depending on the material used. For most materials, this optimum value is approximately 2. In the
671: 362: 702: 697: 664: 525: 61: 549: 28: 585: 573: 648: 480: 436: 337: 310: 277: 555: 531: 500: 460: 691: 20: 619: 454: 304: 636: 644: 303:
is the nominal refractive index as a function of distance from the
265:{\displaystyle \Delta ={n_{1}^{2}-n_{2}^{2} \over 2n_{1}^{2}},} 170: 426:{\displaystyle n(r)=n_{2}\mathrm {\ for\ } r\geq \alpha } 652: 477:
is a parameter that defines the shape of the profile.
558: 534: 503: 483: 463: 439: 371: 340: 313: 280: 193: 40: 564: 540: 509: 489: 469: 445: 425: 353: 326: 295: 264: 176: 672: 8: 16:Index of refraction profile in fiber optics 679: 665: 557: 533: 502: 482: 462: 438: 397: 391: 370: 345: 339: 334:is the nominal refractive index on axis, 318: 312: 279: 250: 245: 230: 225: 212: 207: 200: 192: 140: 134: 107: 93: 74: 68: 56: 39: 517:. Hence, this is sometimes called an 7: 633: 631: 365:, which is taken to be homogeneous ( 651:. You can help Knowledge (XXG) by 407: 404: 401: 194: 151: 85: 14: 635: 603: This article incorporates 598: 616:General Services Administration 361:is the refractive index of the 381: 375: 290: 284: 50: 44: 1: 524:For this class of profiles, 719: 630: 497:is often used in place of 31:profile characterized by 572:, the profile becomes a 490:{\displaystyle \alpha } 446:{\displaystyle \alpha } 25:power-law index profile 647:-related article is a 611:Federal Standard 1037C 605:public domain material 566: 542: 511: 491: 471: 447: 427: 355: 328: 297: 266: 178: 567: 543: 512: 492: 472: 448: 428: 356: 354:{\displaystyle n_{2}} 329: 327:{\displaystyle n_{1}} 298: 267: 179: 556: 532: 526:multimode distortion 501: 481: 461: 437: 369: 338: 311: 296:{\displaystyle n(r)} 278: 191: 38: 255: 235: 217: 29:index of refraction 586:Graded-index fiber 574:step-index profile 562: 538: 507: 487: 467: 443: 423: 351: 324: 293: 262: 241: 221: 203: 174: 169: 660: 659: 565:{\displaystyle g} 541:{\displaystyle g} 528:is smallest when 510:{\displaystyle g} 470:{\displaystyle g} 412: 400: 257: 154: 113: 101: 710: 681: 674: 667: 639: 632: 624: 623: 618:. Archived from 602: 601: 571: 569: 568: 563: 547: 545: 544: 539: 516: 514: 513: 508: 496: 494: 493: 488: 476: 474: 473: 468: 452: 450: 449: 444: 432: 430: 429: 424: 413: 410: 398: 396: 395: 360: 358: 357: 352: 350: 349: 333: 331: 330: 325: 323: 322: 302: 300: 299: 294: 271: 269: 268: 263: 258: 256: 254: 249: 236: 234: 229: 216: 211: 201: 183: 181: 180: 175: 173: 172: 155: 141: 139: 138: 114: 112: 111: 106: 102: 94: 75: 73: 72: 718: 717: 713: 712: 711: 709: 708: 707: 688: 687: 686: 685: 628: 608: 599: 597: 594: 582: 554: 553: 530: 529: 499: 498: 479: 478: 459: 458: 435: 434: 387: 367: 366: 341: 336: 335: 314: 309: 308: 276: 275: 237: 202: 189: 188: 168: 167: 156: 130: 127: 126: 115: 89: 88: 64: 57: 36: 35: 17: 12: 11: 5: 716: 714: 706: 705: 700: 690: 689: 684: 683: 676: 669: 661: 658: 657: 640: 626: 625: 622:on 2022-01-22. 593: 590: 589: 588: 581: 578: 561: 537: 506: 486: 466: 442: 422: 419: 416: 409: 406: 403: 394: 390: 386: 383: 380: 377: 374: 348: 344: 321: 317: 292: 289: 286: 283: 261: 253: 248: 244: 240: 233: 228: 224: 220: 215: 210: 206: 199: 196: 185: 184: 171: 166: 163: 160: 157: 153: 150: 147: 144: 137: 133: 129: 128: 125: 122: 119: 116: 110: 105: 100: 97: 92: 87: 84: 81: 78: 71: 67: 63: 62: 60: 55: 52: 49: 46: 43: 21:optical fibers 15: 13: 10: 9: 6: 4: 3: 2: 715: 704: 701: 699: 696: 695: 693: 682: 677: 675: 670: 668: 663: 662: 656: 654: 650: 646: 641: 638: 634: 629: 621: 617: 613: 612: 606: 596: 595: 591: 587: 584: 583: 579: 577: 575: 559: 551: 535: 527: 522: 520: 519:alpha profile 504: 484: 464: 456: 440: 420: 417: 414: 392: 388: 384: 378: 372: 364: 346: 342: 319: 315: 306: 287: 281: 272: 259: 251: 246: 242: 238: 231: 226: 222: 218: 213: 208: 204: 197: 164: 161: 158: 148: 145: 142: 135: 131: 123: 120: 117: 108: 103: 98: 95: 90: 82: 79: 76: 69: 65: 58: 53: 47: 41: 34: 33: 32: 30: 26: 22: 703:Optics stubs 698:Fiber optics 653:expanding it 642: 627: 620:the original 610: 552:of infinite 523: 518: 457:radius, and 273: 186: 24: 18: 692:Categories 592:References 305:fiber axis 485:α 441:α 421:α 418:≥ 219:− 195:Δ 165:α 162:≥ 152:Δ 146:− 124:α 121:≤ 99:α 86:Δ 80:− 580:See also 363:cladding 453:is the 645:optics 411:  399:  187:where 27:is an 643:This 607:from 550:limit 649:stub 455:core 274:and 23:, a 19:For 521:. 433:), 694:: 614:. 576:. 307:, 680:e 673:t 666:v 655:. 560:g 536:g 505:g 465:g 415:r 408:r 405:o 402:f 393:2 389:n 385:= 382:) 379:r 376:( 373:n 347:2 343:n 320:1 316:n 291:) 288:r 285:( 282:n 260:, 252:2 247:1 243:n 239:2 232:2 227:2 223:n 214:2 209:1 205:n 198:= 159:r 149:2 143:1 136:1 132:n 118:r 109:g 104:) 96:r 91:( 83:2 77:1 70:1 66:n 59:{ 54:= 51:) 48:r 45:( 42:n

Index

optical fibers
index of refraction
fiber axis
cladding
core
multimode distortion
limit
step-index profile
Graded-index fiber
public domain material
Federal Standard 1037C
General Services Administration
the original
Stub icon
optics
stub
expanding it
v
t
e
Categories
Fiber optics
Optics stubs

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