Optical constants

Refractive index of Y3Al5O12 (Yttrium aluminium garnet, YAG)

Franta et al. 2021: n,k 0.120–400 µm

Data
tabulated nk
Range
0.1199–400.3 µm
Points
7048
State
crystalline
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.1199–400.3 µm
Refractive index n
1.83274
Extinction coefficient k
1.86953e-08
Permittivity ε1
3.35893
Permittivity ε2
6.85272e-08
Absorption coefficient α
0.00399816 cm⁻¹
Penetration depth δ = λ/(2πk)
5.00230e+09 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-0.0809289 µm⁻¹
Group index ng
1.88029
Group velocity dispersion
— fs²/mm
Dispersion parameter D
— ps/(nm·km)
Photon energy
2.11001 eV

ε = (n + ik)², α = 4πk/λ, ng = n − λ dn/dλ, GVD = λ³/(2πc²) d²n/dλ², D = −(λ/c) d²n/dλ². Group-velocity dispersion is given for formula data only.

Use it in Lightsmith

Load this data in Python, simulate in one more line

pip install lightsmith
import lightsmith as ls

# Y3Al5O12 (Yttrium aluminium garnet, YAG): Franta et al. 2021: n,k 0.120–400 µm
y3al5o12 = ls.fetch_refractiveindex("main", "Y3Al5O12", "Franta", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(y3al5o12.range_nm)  # (119.914, 400286) nm
eps = y3al5o12.eps([633])  # complex permittivity

Downloads the original record once (pinned to the imported snapshot) and caches it.

Lightsmith is open source (MIT): Mie, T-matrix, BEM, DDA, FDTD, RCWA, TMM, mode solvers and inverse design behind one spec, on CPU or GPU. GitHub.

Comments and conditions

Single-crystal Y3Al5O12; Heterogenous data processing combining ellipsometric and spectrophotometric measurements with refractive index data (Zelmon et al. 1998); 2 mm thick plate; Room temperature.

References

D. Franta, M.-G. Mureșan. Wide spectral range optical characterization of yttrium aluminum garnet (YAG) single crystal by universal dispersion model, Opt. Mater. Express 11, 3930–3945 (2021) (Numerical data kindly provided by Daniel Franta)
  • doi:10.1364/ome.441088 Wide spectral range optical characterization of yttrium aluminum garnet (YAG) single crystal by the universal dispersion model, Optical Materials Express (2021)

Cite

Daniel Franta and Mihai-George Mureșan. Wide spectral range optical characterization of yttrium aluminum garnet (YAG) single crystal by the universal dispersion model. Optical Materials Express, 11, 3930 (2021), doi:10.1364/ome.441088; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

7048 rows as published
Y3Al5O12 (Yttrium aluminium garnet, YAG), Franta et al. 2021: n,k 0.120–400 µm: n and k versus wavelength
λ (µm)nk
0.1199142.126291112651.01415859714
0.1200522.129354897871.01733032081
0.120192.133005982461.0204364385
0.1203292.137269827941.02338886444
0.1204672.142157990451.02608721867
0.1206062.147663859731.02842078138
0.1207452.153758485671.03027187674
0.1208842.160386993481.03152081735
0.1210242.167466197131.03205235219
0.1211632.174884052491.03176330231
0.1213032.182501502251.03057077402
0.1214422.190157028261.02842007258
0.1215822.197673852041.02529128026
0.1217222.204869271551.02120348804
0.1218622.211565191931.01621591699
0.1220032.217598620921.01042560918
0.1221432.222830846521.00396191627
0.1222842.227154225870.996978531484
0.1224252.230495937060.989644168363
0.1225662.232818566520.982133106521
0.1227072.234117891530.974616699613
0.1228492.234418564070.967256636608
0.122992.233768561770.960200366574
0.1231322.232233254290.953578736399
0.1232742.229889791160.94750561737
0.1234162.226822316730.942079136454
0.1235582.223118316870.937384073723
0.12372.218866240350.933495010588
0.1238432.214154434010.930479879974
0.1239852.209071387330.92840364754
0.1241282.203707293760.927331917399
0.1242712.198156992620.927334286421
0.1244142.19252444790.928487249453
0.1245572.18692903740.930876360836
0.1247012.181514050110.934597151184
0.1248452.176457886440.939753931145
0.1249882.171988445180.946455013426
0.1251322.168400896830.954801967558
0.1252772.166078160090.96486924253
0.1254212.165511341830.97666898122
0.1255652.167313303460.990094743712
0.125712.172211464811.00483891952
0.1258552.180996087041.02028555423
0.1262.194391616461.03539884573
0.1261452.21282368891.04866165872
0.126292.236095301951.05815832749
0.1264362.263077744261.06190062719
0.1265812.291626613171.05839909814
0.1267272.318925065661.04727408613
0.1268732.342224642831.02954049458
0.1270192.359627834221.00732685279
0.1271662.37048146160.983175549266
0.1273122.375244025430.959339713607
0.1274592.375038826720.937393470464
0.1276062.371193997320.918188492968
0.1277532.364937702720.902011446792
0.12792.357263586030.888790069127
0.1280472.348910468290.878264718716
0.1281952.340396758310.870103190059
0.1283422.332070816430.863966521039
0.128492.32415844070.859541271428
0.1286382.31680095550.856551826228
0.1287862.310083304560.854762044393
0.1289352.30405374740.853971890629
0.1290832.298737194890.854012168839
0.1292322.294143982670.854738947462
0.1293812.290275472270.856028409251
0.129532.287127485070.857772406661
0.1296792.284692270640.859874782617
0.1298282.282959490410.862248418545
0.1299782.281916544850.864812936501
0.1301282.281548469620.867492976979
0.1302782.281837559560.87021698089
0.1304282.282762836350.872916414464
0.1305782.284299449470.875525384905
0.1307282.286418083520.877980600736
0.1308792.289084434740.880221633216
0.131032.292258812430.882191434124
0.1311812.295895913730.883837061287
0.1313322.299944812960.885110557331
0.1314832.30434919630.885969920649
0.1316352.309047860550.886380101718
0.1317862.313975479270.886313954325
0.1319382.319063622760.885753071072
0.132092.3242420010.884688436868
0.1322422.32943988130.883120843363
0.1323942.3345876190.881061021337
0.1325472.339618228920.878529466004
0.13272.344468921510.875555950639
0.1328532.349082529160.872178744871
0.1330062.353408756340.868443573398
0.1331592.357405200320.864402366751
0.1333122.361038106830.860111866652
0.1334662.36428284350.855632153473
0.133622.36712409340.851025162379
0.1337732.369555787620.846353248334
0.1339282.371580809470.841677849602
0.1340822.373210512010.837058286026
0.1342362.374464095270.83255071389
0.1343912.375367889190.828207245024
0.1345462.375954584980.824075225127
0.1347012.376262450410.82019665598
0.1348562.37633455590.816607738739
0.1350112.376218028120.813338511021
0.1351672.375963337480.810412549015
0.1353222.375623615610.807846707168
0.1354782.375253989520.805650871933
0.1356342.374910911040.803827712417
0.1357912.374651453090.802372419415
0.1359472.374532540250.801272435085
0.1361042.374610078750.800507188282
0.136262.374937953010.800047865001
0.1364172.37556686180.799857258796
0.1365752.376542978740.799889761422
0.1367322.37790644020.800091567427
0.1368892.379689688170.800401175672
0.1370472.381915727420.800750272453
0.1372052.384596391840.801065071663
0.1373632.387730751590.801268163911
0.1375212.391303824170.801280886631
0.137682.3952857720.801026171369
0.1378382.399631767430.800431756444
0.1379972.404282678260.799433581194
0.1381562.409166666960.797979113935
0.1383152.414201710280.796030323814
0.1384752.419298939740.793565999904
0.1386342.424366595290.790583157592
0.1387942.429314293860.78709735259
0.1389542.434057259570.783141836944
0.1391142.438520157120.778765620863
0.1392742.442640216160.774030626142
0.1394342.446369423660.769008209766
0.1395952.449675677050.76377538502
0.1397562.452542910020.758411067487
0.1399172.454970306530.752992630119
0.1400782.456970791480.747592978546
0.1402392.458569023510.742278271515
0.1404012.459799117970.737106327368
0.1405632.460702303570.732125687515
0.1407252.461324675350.727375257958
0.1408872.461715158690.72288442143
0.1410492.461923752770.718673502996
0.1412112.462000081820.714754476618
0.1413742.46199225190.711131814057
0.1415372.461945990070.707803396051
0.14172.461904030220.704761425394
0.1418632.461905704540.701993299941
0.1420272.461986699210.699482419329
0.142192.462178935860.697208911823
0.1423542.462510545260.695150277105
0.1425182.46300590530.693281947456
0.1426822.463685720970.691577773972
0.1428472.464567129520.690010446903
0.1430112.465663818760.688551860142
0.1431762.466986150010.687173429983
0.1433412.468541281090.685846377602
0.1435062.470333286740.684541983675
0.1436712.472363276090.683231822297
0.1438372.474629508180.681887979978
0.1440022.477127507440.680483264089
0.1441682.479850181570.678991403817
0.1443342.482787944710.677387245394
0.1445012.485928848580.675646942251
0.1446672.489258724110.673748139716
0.1448342.492761335810.67167015305
0.1450012.496418550280.669394136879
0.1451682.500210519950.666903243626
0.1453352.504115882160.664182768164
0.1455022.5081119730.661220275796
0.145672.512175054520.658005710717
0.1458382.516280553280.654531482326
0.1460062.520403307370.650792527172
0.1461742.524517818620.646786344873
0.1463422.528598506090.642513007027
0.1465112.53261995680.637975138961
0.146682.536557169380.633177874995
0.1468492.540385786540.628128788863
0.1470182.544082312280.622837801823
0.1471872.54762431050.617317071923
0.1473572.550990581780.611580868753
0.1475262.554161316430.605645438831
0.1476962.557118222470.599528867515
0.1478672.559844628240.593250944046
0.1480372.562325560950.586833036958
0.1482072.564547803380.580297987766
0.1483782.566499933230.573670031479
0.1485492.568172351090.566974753274
0.148722.56955730610.560239091504
0.1488912.570648931380.553491398224
0.1490632.571443306310.546761569581
0.1492352.571938568870.540081259509
0.1494072.572135111030.533484191054
0.1495792.572035902910.527006579429
0.1497512.571647011530.520687678358
0.1499242.570978407230.514570453515
0.1500962.570045191160.508702368971
0.1502692.568869432180.503136235058
0.1504422.567482875170.497930992356
0.1506162.565930871520.493152167655
0.1507892.564277969050.488871485922
0.1509632.5626156260.48516468524
0.1511372.561072340690.48210586791
0.1513112.559825803210.479755669756
0.1514852.559114886460.478139283211
0.151662.55924550630.477209713416
0.1518342.560577899110.476793835999
0.1520092.563475200570.476528322592
0.1521842.568192426180.475814077915
0.152362.574708711990.473846668185
0.1525352.582567671460.469784608495
0.1527112.590856960660.463045842978
0.1528872.598426858270.453584862356
0.1530632.60427057810.441945053689
0.1532392.607829512330.429032318034
0.1534162.609051491490.415777431926
0.1535922.60824077440.402895501305
0.1537692.605852012710.390814461183
0.1539472.602338117190.379719733917
0.1541242.598076405920.369636797931
0.1543012.593350824930.360504591178
0.1544792.588361804950.352225426302
0.1546572.583244822050.344693702133
0.1548352.578088546270.337810142221
0.1550142.572949450370.331487537245
0.1551922.567862535110.325652027481
0.1553712.562848815230.320242303736
0.155552.557920391270.315208006148
0.1557292.553083823290.310507954992
0.1559092.548342348310.306108496708
0.1560882.543697325340.301982068981
0.1562682.539149170330.298106002896
0.1564482.534697956650.294461543117
0.1566282.530343797490.291033054082
0.1568092.526087086380.287807378474
0.1569892.52192864590.284773317255
0.157172.51786981690.281921205087
0.1573512.51391250920.279242559649
0.1575322.510059226950.276729787524
0.1577142.506313076810.274375932911
0.1578962.502677763730.272174458314
0.1580772.499157576610.270119048737
0.158262.495757364730.268203432893
0.1584422.492482504370.266421216512
0.1586242.489338854520.264765724286
0.1588072.486332699690.263229848189
0.158992.483470677630.261805901123
0.1591732.480759689320.260485475969
0.1593572.478206788570.259259311256
0.159542.475819048730.258117165865
0.1597242.473603404310.257047706359
0.1599082.471566465840.256038411747
0.1600922.469714307510.255075501615
0.1602772.468052228260.254143894596
0.1604612.466584488780.253227204902
0.1606462.465314029170.25230778507
0.1608312.464242174240.251366822885
0.1610162.463368336460.250384499662
0.1612022.462689728960.249340215324
0.1613872.462201103870.248212883108
0.1615732.461894533070.246981293092
0.161762.461759249460.245624539215
0.1619462.461781567070.244122499308
0.1621322.461944895980.242456352179
0.1623192.462229864960.240609110575
0.1625062.46261455920.238566144545
0.1626932.463074873570.236315666858
0.1628812.463584974170.233849151454
0.1630682.464117852480.231161657678
0.1632562.464645948790.228252037414
0.1634442.465141815490.22512300904
0.1636332.465578786770.221781090689
0.1638212.465931620170.218236394832
0.164012.46617707730.214502295695
0.1641992.466294415870.210594989375
0.1643882.466265772020.206532972959
0.1645772.466076420210.202336472818
0.1647672.465714907020.198026853332
0.1649572.465173063310.193626035754
0.1651472.464445906330.189155953177
0.1653372.463531448550.184638062266
0.1655272.462430433570.180092926269
0.1657182.461146020210.175539877612
0.1659092.459683435810.170996762578
0.16612.458049617660.166479765656
0.1662912.45625285880.162003307409
0.1664832.454302471060.157580007049
0.1666752.45220847480.153220699481
0.1668672.449981321640.148934496021
0.1670592.447631653510.144728878284
0.1672512.445170099070.140609815505
0.1674442.442607106590.136581896738
0.1676372.439952811150.132648470681
0.167832.437216933090.128811787261
0.1680232.434408703980.125073136421
0.1682172.431536816560.121432980739
0.1684112.428609394710.117891079548
0.1686052.425633980.114446603101
0.1687992.422617531510.111098235999
0.1689932.419566436110.10784426966
0.1691882.416486526510.104682684017
0.1693832.413383105220.101611218903
0.1695782.410260972310.0986274357812
0.1697732.407124455750.0957287705978
0.1699692.403977443060.0929125785907
0.1701652.400823413330.0901761718899
0.1703612.397665468980.0875168507405
0.1705572.394506366640.0849319291312
0.1707542.391348546850.082418755558
0.170952.388194162240.0799747295937
0.1711472.38504510410.0775973148663
0.1713442.381903027210.0752840489867
0.1715422.378769372920.073032550904
0.1717392.375645390440.0708405261048
0.1719372.372532156440.0687057700235
0.1721352.369430593040.0666261699757
0.1723342.366341484150.0645997058875
0.1725322.363265490480.0626244500501
0.1727312.360203163030.0606985660964
0.172932.357154955420.0588203073659
0.1731292.354121234980.0569880147953
0.1733282.351102292810.0552001144539
0.1735282.348098352760.0534551148177
0.1737282.345109579670.0517516038637
0.1739282.34213608660.0500882460499
0.1741292.33917794150.0484637792327
0.1743292.336235173030.0468770115678
0.174532.333307775920.0453268184252
0.1747312.330395715710.0438121393489
0.1749322.327498932990.0423319750805
0.1751342.324617347270.0408853846632
0.1753362.321750860310.0394714826384
0.1755372.318899359280.038089436343
0.175742.316062719420.0367384633143
0.1759422.313240806580.0354178288039
0.1761452.310433479340.034126843404
0.1763482.307640591070.032864860786
0.1765512.304861991640.0316312755496
0.1767542.302097529060.0304255211809
0.1769582.29934705090.0292470681176
0.1771622.296610405590.0280954219166
0.1773662.293887443610.0269701215226
0.177572.291178018540.0258707376318
0.1777752.288481988060.024796871148
0.1779792.28579921480.0237481517277
0.1781842.283129567190.0227242364081
0.178392.280472920230.0217248083156
0.1785952.277829156180.0207495754512
0.1788012.275198165230.019798269547
0.1790072.272579846160.0188706449917
0.1792132.269974106920.0179664778212
0.179422.267380865260.0170855647704
0.1796262.264800049270.0162277223822
0.1798332.262231598010.0153927861727
0.180042.259675462050.0145806098469
0.1802482.257131604120.0137910645638
0.1804552.254599999670.0130240382474
0.1806632.252080637540.0122794349411
0.1808712.249573520650.0115571742029
0.181082.247078666710.0108571905395
0.1812882.244596108960.0101794328768
0.1814972.242125897090.00952386406413
0.1817062.23966809810.00889046041153
0.1819162.237222797330.00827921125714
0.1821252.23479009960.00769011856333
0.1823352.232370130450.00712319653993
0.1825452.22996303760.00657847129296
0.1827552.227568992520.00605598049736
0.1829662.22518819230.00555577309236
0.1831772.222820861810.00507790899804
0.1833882.220467256110.00462245885198
0.1835992.218127663440.00418950376458
0.183812.215802408650.00377913509204
0.1840222.213491857380.00339145422566
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Optical transmission calculator

Free-standing sample in vacuum, normal incidence
Method
Transmittance T
—
Reflectance R
—

Fresnel reflection calculator

Direction
Rp
—
Rs
—
R = (Rp+Rs)/2
—
Phase φp
—
Phase φs
—
Brewster angle θB
—
Critical angle θC
—