Optical constants

Refractive index of Tb3Ga5O12 (Terbium gallium garnet, TGG)

Franta et al. 2025: n,k 0.120–400 µm

Data
tabulated nk
Range
0.12–400 µm
Points
61730
State
crystalline
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.12–400 µm
Refractive index n
1.97126
Extinction coefficient k
5.34054e-09
Permittivity ε1
3.88586
Permittivity ε2
2.10552e-08
Absorption coefficient α
0.00114212 cm⁻¹
Penetration depth δ = λ/(2πk)
1.75112e+10 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-0.134011 µm⁻¹
Group index ng
2.05
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

# Tb3Ga5O12 (Terbium gallium garnet, TGG): Franta et al. 2025: n,k 0.120–400 µm
tb3ga5o12 = ls.fetch_refractiveindex("main", "Tb3Ga5O12", "Franta", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(tb3ga5o12.range_nm)  # (119.997, 400009) nm
eps = tb3ga5o12.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 Tb3Ga5O12; Heterogenous data processing combining ellipsometric and spectrophotometric measurements with refractive index data (Schlarb et al. 1994); 5, 3, and 0.5 mm thick plates; Room temperature.

References

D. Franta, M.-G. Mureșan, P. Ondračka, B. Hroncová, F. Vižďa. Wide spectral range optical characterization of terbium gallium garnet (TGG) single crystal by universal dispersion model, Opt. Laser Technol. 181, 111916 (2025) (Numerical data kindly provided by Daniel Franta)
  • doi:10.1016/j.optlastec.2024.111916 Wide spectral range optical characterization of terbium gallium garnet (TGG) single crystal by universal dispersion model, Optics & Laser Technology (2025)

Cite

Daniel Franta, Mihai-George Mureșan, Pavel Ondračka, Beáta Hroncová and František Vižďa. Wide spectral range optical characterization of terbium gallium garnet (TGG) single crystal by universal dispersion model. Optics & Laser Technology, 181, 111916 (2025), doi:10.1016/j.optlastec.2024.111916; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

61730 rows as published
Tb3Ga5O12 (Terbium gallium garnet, TGG), Franta et al. 2025: n,k 0.120–400 µm: n and k versus wavelength
λ (µm)nk
0.1199972.0021360.9707653
0.1201072.0011360.9705295
0.1202182.0001480.9703269
0.1203291.9991710.9701571
0.120441.9982070.9700202
0.1205511.9972560.9699161
0.1206621.9963180.9698445
0.1207731.9953940.9698055
0.1208841.9944850.9697989
0.1209961.993590.9698246
0.1211071.992710.9698824
0.1212191.9918460.9699722
0.121331.9909980.9700939
0.1214421.9901670.9702473
0.1215541.9893530.9704324
0.1216661.9885570.9706489
0.1217781.9877790.9708966
0.1218911.9870190.9711756
0.1220031.9862790.9714855
0.1221151.9855580.9718262
0.1222281.9848570.9721976
0.122341.9841770.9725995
0.1224531.9835170.9730317
0.1225661.982880.973494
0.1226791.9822640.9739862
0.1227921.9816710.9745081
0.1229051.9811010.9750596
0.1230181.9805550.9756405
0.1231321.9800330.9762505
0.1232451.9795360.9768894
0.1233591.9790630.977557
0.1234721.9786170.9782532
0.1235861.9781970.9789775
0.12371.9778030.9797299
0.1238141.9774370.9805101
0.1239281.9770990.9813178
0.1240421.9767890.9821528
0.1241571.9765090.9830148
0.1242711.9762580.9839035
0.1243861.9760370.9848187
0.12451.9758470.9857601
0.1246151.9756890.9867273
0.124731.9755620.9877202
0.1248451.9754680.9887382
0.124961.9754070.9897812
0.1250751.9753810.9908488
0.125191.9753880.9919406
0.1254211.975510.9941954
0.1256521.9757780.9965426
0.1257681.9759680.9977497
0.1258841.9761970.9989787
0.1261.9764651.000229
0.1261161.9767731.0015
0.1262321.9771221.002792
0.1263481.9775121.004103
0.1264651.9779441.005434
0.1265811.9784191.006783
0.1266981.9789381.008151
0.1268151.9795011.009536
0.1269321.980111.010938
0.1270491.9807651.012356
0.1271661.9814661.013789
0.1272831.9822151.015237
0.12741.9830131.016699
0.1275181.9838591.018175
0.1276351.9847561.019662
0.1277531.9857041.021161
0.127871.9867031.02267
0.1279881.9877551.024189
0.1281061.988861.025716
0.1282241.9900191.02725
0.1283421.9912331.028791
0.1284611.9925021.030336
0.1285791.9938281.031886
0.1286971.9952121.033438
0.1288161.9966531.034991
0.1289351.9981531.036544
0.1290541.9997131.038096
0.1291722.0013331.039644
0.1292912.0030131.041188
0.1294112.0047551.042725
0.129532.0065591.044254
0.1296492.0084261.045774
0.1297692.0103551.047282
0.1298882.0123481.048777
0.1300082.0144061.050256
0.1301282.0165271.051718
0.1302482.0187131.053161
0.1303682.0209631.054582
0.1304882.0232791.055979
0.1306082.0256591.05735
0.1307282.0281051.058694
0.1308492.0306151.060006
0.1309692.0331891.061286
0.131092.0358281.062531
0.1312112.038531.063737
0.1313322.0412961.064904
0.1314532.0441241.066027
0.1315742.0470141.067105
0.1316952.0499651.068135
0.1318172.0529751.069115
0.1319382.0560441.070042
0.132062.059171.070912
0.132122.0607541.071326
0.1321812.0623521.071725
0.1323032.0655871.072477
0.1324252.0688751.073166
0.1325472.0722131.073789
0.1326692.0755991.074345
0.1327912.0790321.07483
0.1329142.0825071.075242
0.1330362.0860241.07558
0.1331592.0895791.075841
0.1332812.0931691.076024
0.1334042.0967921.076126
0.1335272.1004441.076146
0.133652.1041221.076083
0.1337732.1078231.075935
0.1338352.1096811.075829
0.1338972.1115431.075701
0.134022.115281.07538
0.1341442.1190281.074971
0.1342672.1227851.074474
0.1343292.1246651.074192
0.1343912.1265461.073888
0.1344532.1284281.073562
0.1345152.1303091.073213
0.1345772.132191.072842
0.1346392.1340691.072449
0.1347012.1359471.072034
0.1347632.1378221.071597
0.1348252.1396951.071138
0.1348872.1415651.070657
0.1350112.1452941.069629
0.1351362.1490041.068514
0.1351982.1508511.067925
0.135262.1526931.067314
0.1353852.1563561.06603
0.135512.1599911.064664
0.1356342.1635931.063217
0.1356972.1653811.062463
0.1358222.1689281.060899
0.1358842.1706861.060089
0.136012.1741721.058412
0.1361352.1776121.056664
0.1361982.1793141.055764
0.136262.1810051.054846
0.1363862.1843471.052963
0.1365122.1876371.051016
0.1365752.1892611.05002
0.1366372.1908711.04901
0.1367632.1940491.046946
0.1368582.1963941.045363
0.1369522.1987051.043751
0.1370162.2002271.042661
0.1370792.2017341.041559
0.1372052.20471.039322
0.13732.2068831.037617
0.1373952.209031.035889
0.1375212.2118361.033554
0.1375852.2132151.032374
0.1376482.2145781.031186
0.137682.2152531.03059
0.1377112.2159241.029991
0.1377752.2172551.028789
0.1378382.2185681.02758
0.1379342.2205081.025755
0.1379492.2208281.025449
0.1380772.223351.022995
0.1380842.2235051.022841
0.138142.2245871.02176
0.1382522.2267121.01959
0.1382592.2268621.019435
0.1384112.2296641.016472
0.1384752.2308171.01522
0.1384822.230961.015063
0.1386822.2344571.011137
0.138812.2366181.008618
0.1389382.238721.006098
0.1390662.2407641.003579
0.1391942.2427511.001064
0.1393222.2446850.9985549
0.139452.2465650.9960536
0.1396752.2497350.9917017
0.1397082.2501760.9910831
0.1397722.2510490.9898484
0.1398682.2523370.9880032
0.1399012.252760.9873901
0.1399972.2540150.9855567
0.140032.2544280.9849477
0.1401262.2556510.9831271
0.1401592.2560530.9825225
0.1402232.2568510.9813168
0.1402552.2572470.9807157
0.1402882.257640.9801158
0.1403522.2584180.9789197
0.1404172.2591880.9777286
0.1404492.259570.9771349
0.1404822.2599490.9765425
0.1405462.2607020.9753617
0.1406112.2614460.9741862
0.140872.2643460.9695384
0.1412.2657530.9672479
0.141132.2671340.9649802
0.141262.2684920.9627354
0.141392.2698290.9605134
0.1416512.2724460.9561378
0.1417162.273090.9550579
0.1417822.273730.9539836
0.1419122.2750010.9518513
0.1420432.276260.9497404
0.1421082.2768850.9486928
0.1421742.2775080.9476503
0.1422392.2781290.9466128
0.1423052.2787480.9455803
0.142372.2793650.9445526
0.1424362.2799810.9435296
0.1425672.2812090.9414974
0.1426992.2824320.9394827
0.1427642.2830430.9384817
0.142832.2836530.9374846
0.1430932.2860920.9335336
0.1433572.2885340.9296352
0.1434892.2897580.9277027
0.1436222.2909870.9257796
0.1438862.2934560.9219563
0.1441522.2959470.9181541
0.1444182.2984610.9143621
0.1446842.3010020.9105688
0.1449512.3035680.906763
0.1452182.3061590.9029336
0.1454862.3087710.8990702
0.1457542.3113990.8951625
0.1460232.3140390.8912012
0.1462922.3166830.8871776
0.1464272.3180040.8851401
0.1465612.3193230.8830843
0.1466972.3206390.8810093
0.1468322.321950.8789146
0.1470352.3239070.8757339
0.1472382.3258460.8725055
0.1474422.3277630.869228
0.1476452.3296540.8659005
0.147852.3315130.8625225
0.1480542.3333360.8590942
0.1482162.334750.8563446
0.1482242.3348230.856199
0.1482592.3351170.8556158
0.148312.3355550.8547386
0.1483182.3356280.8545921
0.1483272.3357010.8544455
0.1483352.3357730.8542988
0.1483532.3359180.8540052
0.1483612.335990.8538583
0.148372.3360630.8537112
0.1483782.3361350.8535641
0.1483872.3362070.853417
0.1483952.3362790.8532697
0.1484042.3363510.8531223
0.1484122.3364230.8529749
0.1484212.3364940.8528274
0.1484292.3365660.8526798
0.1484382.3366380.8525321
0.1484462.3367090.8523844
0.1484642.3368520.8520886
0.1484722.3369230.8519406
0.1484812.3369940.8517925
0.1484892.3370650.8516443
0.1484982.3371360.851496
0.1485062.3372070.8513477
0.1485152.3372780.8511993
0.1485232.3373480.8510508
0.1485322.3374190.8509022
0.148542.3374890.8507535
0.1485582.337630.8504559
0.1485662.33770.850307
0.1485752.337770.850158
0.1485832.337840.850009
0.1485922.337910.8498598
0.14862.337980.8497106
0.1486092.338050.8495612
0.1486172.3381190.8494119
0.1486352.3382580.8491128
0.1486432.3383280.8489632
0.1486522.3383970.8488135
0.148662.3384660.8486637
0.1486692.3385350.8485138
0.1486772.3386040.8483638
0.1486862.3386730.8482138
0.1486942.3387420.8480637
0.1487122.3388790.8477632
0.148722.3389470.8476129
0.1487292.3390160.8474625
0.1487372.3390840.847312
0.1487462.3391520.8471614
0.1487542.339220.8470107
0.1487722.3393560.8467092
0.148782.3394240.8465583
0.1487892.3394910.8464073
0.1487972.3395590.8462563
0.1488062.3396260.8461051
0.1488142.3396940.8459539
0.1488322.3398280.8456513
0.148842.3398950.8454999
0.1488492.3399620.8453484
0.1488572.3400290.8451968
0.1488662.3400950.8450451
0.1488742.3401620.8448934
0.1488832.3402290.8447416
0.1488912.3402950.8445897
0.1489092.3404270.8442857
0.1489172.3404940.8441336
0.1489262.340560.8439815
0.1489342.3406250.8438292
0.1489432.3406910.8436769
0.1489512.3407570.8435245
0.1489692.3408880.8432195
0.1489772.3409530.8430668
0.1489862.3410180.8429142
0.1489942.3410830.8427614
0.1490122.3412130.8424556
0.149022.3412780.8423027
0.1490292.3413430.8421496
0.1490372.3414070.8419965
0.1490462.3414720.8418433
0.1490542.3415360.84169
0.1490632.34160.8415367
0.1490722.3416640.8413833
0.149082.3417280.8412298
0.1490892.3417920.8410763
0.1490972.3418560.8409226
0.1491062.3419190.8407689
0.1491142.3419830.8406152
0.1491322.342110.8403075
0.149142.3421730.8401535
0.1491492.3422360.8399995
0.1491572.3422990.8398454
0.1491752.3424240.8395369
0.1491832.3424870.8393826
0.1491922.3425490.8392283
0.14922.3426120.8390738
0.1492182.3427360.8387647
0.1492262.3427980.8386101
0.1492352.342860.8384554
0.1492432.3429220.8383006
0.1492522.3429830.8381458
0.149262.3430450.8379909
0.1492782.3431680.8376809
0.1492862.3432290.8375258
0.1492952.343290.8373706
0.1493032.3433510.8372154
0.1493212.3434720.8369047
0.1493292.3435330.8367493
0.1493382.3435930.8365938
0.1493462.3436530.8364382
0.1493642.3437740.836127
0.1493722.3438340.8359712
0.1493812.3438930.8358154
0.1493892.3439530.8356596
0.1494072.3440720.8353477
0.1494152.3441310.8351916
0.1494242.3441910.8350355
0.1494322.344250.8348793
0.149452.3443670.8345668
0.1494582.3444260.8344105
0.1494672.3444850.8342541
0.1494752.3445430.8340976
0.1494932.344660.8337845
0.1495012.3447180.8336279
0.149512.3447750.8334712
0.1495182.3448330.8333144
0.1495362.3449480.8330007
0.1495442.3450060.8328438
0.1495622.345120.8325298
0.149572.3451770.8323727
0.1495792.3452340.8322155
0.1495872.3452910.8320583
0.1496052.3454040.8317438
0.1496132.345460.8315864
0.1496222.3455170.831429
0.149632.3455730.8312715
0.1496482.3456840.8309563
0.1496562.345740.8307987
0.1496652.3457960.830641
0.1496732.3458510.8304833
0.1496912.3459620.8301676
0.1496992.3460170.8300097
0.1497172.3461260.8296938
0.1497252.3461810.8295357
0.1497342.3462350.8293776
0.1497422.346290.8292194
0.149762.3463980.828903
0.1497682.3464520.8287447
0.1497862.3465590.8284279
0.1497942.3466130.8282695
0.1498032.3466660.828111
0.1498112.3467190.8279524
0.1498292.3468250.8276352
0.1498372.3468780.8274765
0.1498552.3469840.827159
0.1498632.3470360.8270002
0.1498722.3470880.8268413
0.149882.347140.8266824
0.1498982.3472440.8263644
0.1499062.3472960.8262054
0.1499242.3473990.8258871
0.1499322.347450.825728
0.1499412.3475010.8255687
0.1499492.3475520.8254095
0.1499672.3476540.8250908
0.1499752.3477050.8249314
0.1499932.3478050.8246125
0.1500012.3478550.824453
0.1500192.3479550.8241339
0.1500272.3480050.8239742
0.1500362.3480550.8238146
0.1500442.3481040.8236549
0.1500622.3482030.8233353
0.150072.3482520.8231755
0.1500882.3483490.8228558
0.1500962.3483980.8226958
0.1501142.3484940.8223758
0.1501222.3485420.8222158
0.1501312.348590.8220557
0.1501392.3486380.8218956
0.1501572.3487340.8215753
0.1501652.3487810.8214151
0.1501832.3488750.8210945
0.1501912.3489220.8209342
0.1502092.3490160.8206135
0.1502172.3490620.8204531
0.1502352.3491550.8201322
0.1502432.3492010.8199717
0.1502522.3492470.8198111
0.1502612.3492930.8196506
0.1502692.3493380.81949
0.1502782.3493840.8193293
0.1502862.3494290.8191687
0.1503042.3495190.8188473
0.1503122.3495640.8186866
0.150332.3496530.818365
0.1503382.3496980.8182042
0.1503562.3497860.8178825
0.1503642.349830.8177216
0.1503822.3499180.8173997
0.150392.3499610.8172387
0.1504082.3500480.8169167
0.1504162.3500910.8167557
0.1504342.3501760.8164335
0.1504422.3502190.8162724
0.150462.3503040.8159502
0.1504682.3503460.815789
0.1504862.350430.8154666
0.1504942.3504710.8153053
0.1505122.3505540.8149828
0.150522.3505950.8148215
0.1505382.3506770.8144989
0.1505462.3507180.8143376
0.1505642.3507990.8140148
0.1505722.3508390.8138534
0.150592.350920.8135306
0.1505982.3509590.8133691
0.1506162.3510390.8130462
0.1506242.3510780.8128847
0.1506422.3511560.8125617
0.150652.3511950.8124002
0.1506682.3512720.8120771
0.1506762.3513110.8119155
0.1506942.3513870.8115924
0.1507022.3514250.8114308
0.150722.35150.8111076
0.1507282.3515380.8109459
0.1507462.3516120.8106227
0.1507542.3516490.810461
0.1507722.3517230.8101377
0.150782.3517590.809976
0.1507982.3518320.8096527
0.1508062.3518680.809491
0.1508242.351940.8091676
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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
—