Optical constants

Refractive index of Tm (Thulium)

Vidal-Dasilva et al. 2009: n,k 0.000775–0.480 µm

Data
tabulated nk
Range
0.0007748–0.4803 µm
Points
1611
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.0007748–0.4803 µm
Refractive index n
0.938881
Extinction coefficient k
0.0454158
Permittivity ε1
0.879435
Permittivity ε2
0.08528
Absorption coefficient α
295705 cm⁻¹
Penetration depth δ = λ/(2πk)
67.6349 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-7.15902 µm⁻¹
Group index ng
1.07705
Group velocity dispersion
— fs²/mm
Dispersion parameter D
— ps/(nm·km)
Photon energy
64.2405 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

# Tm (Thulium): Vidal-Dasilva et al. 2009: n,k 0.000775–0.480 µm
tm = ls.fetch_refractiveindex("main", "Tm", "Vidal-Dasilva", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(tm.range_nm)  # (0.77478, 480.312) nm
eps = tm.eps([19.3])  # 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

Density: 9.33 g/cm3. Film deposited at room temperature.

References

M. Vidal-Dasilva, M. Fernández-Perea, J. A. Aznárez, J. I. Larruquert, J. A. Méndez, L. Poletto, A. M. Malvezzi, A. Giglia, S. Nannarone. Transmittance and optical constants of Tm films in the 2.75–1600 eV spectral range. J. Appl. Phys. 105, 103110 (2009) (Numerical data kindly provided by Juan Larruquert)
  • doi:10.1063/1.3129507 Transmittance and optical constants of Tm films in the 2.75–1600 eV spectral range, Journal of Applied Physics (2009)

Cite

Manuela Vidal-Dasilva et al.. Transmittance and optical constants of Tm films in the 2.75–1600 eV spectral range. Journal of Applied Physics, 105, 103110 (2009), doi:10.1063/1.3129507; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

1611 rows as published
Tm (Thulium), Vidal-Dasilva et al. 2009: n,k 0.000775–0.480 µm: n and k versus wavelength
λ (µm)nk
0.000774780.999753870.000295
0.0007750250.999751520.000293
0.000775270.999748420.000288
0.0007755160.999743910.000289
0.0007757610.999741190.000291
0.0007760060.999741410.000296
0.0007762520.999746240.000299
0.0007764980.999752670.000296
0.0007767440.999751210.000285
0.000776990.999747510.000288
0.0007772360.999748340.000286
0.0007774830.999745840.000282
0.0007777290.999745610.000285
0.0007779760.999744840.000277
0.0007782230.999736060.000273
0.000778470.999726380.000278
0.0007787170.9997230.000289
0.0007789640.999725820.000297
0.0007792120.999733240.000303
0.000779460.999738450.000298
0.0007797070.999739680.000298
0.0007799550.999740780.000296
0.0007802040.99974110.000296
0.0007804520.999742770.000296
0.00078070.999743740.000293
0.0007809490.999740950.00029
0.0007811980.99973940.000294
0.0007814470.999740430.000294
0.0007816960.999741590.000295
0.0007819450.999742260.000293
0.0007821940.99974240.000293
0.0007824440.99974170.00029
0.0007826940.999736970.000288
0.0007829440.999732050.000293
0.0007831940.999732460.000301
0.0007834440.999738190.000306
0.0007836940.999743710.000304
0.0007839450.999745280.000301
0.0007841960.999744170.0003
0.0007844460.999745320.000304
0.0007846970.999749190.000304
0.0007849490.999754560.000304
0.00078520.999758090.000296
0.0007854520.999755550.000289
0.0007857030.999748950.000285
0.0007859550.999742460.000288
0.0007862070.999739710.000293
0.0007864590.999739210.000297
0.0007867110.999739430.000301
0.0007869640.999741050.000306
0.0007872170.99974530.000311
0.0007874690.999752150.000314
0.0007877220.99976120.000314
0.0007879750.999769150.000307
0.0007882290.999770440.000296
0.0007884820.999764440.000289
0.0007887360.999760870.000293
0.000788990.999760210.000291
0.0007892430.999760570.000294
0.0007894980.999762320.000291
0.0007897520.999760220.000288
0.0007900060.9997580.00029
0.0007902610.999758570.000292
0.0007905160.999761290.000293
0.0007907710.99976440.00029
0.0007910260.999760670.000282
0.0007912810.999754690.000287
0.0007915360.99975750.000294
0.0007917920.999761170.00029
0.0007920480.999759440.000288
0.0007923030.999756460.00029
0.000792560.999760660.000299
0.0007928160.999766870.000294
0.0007930720.99977080.000294
0.0007933290.999774790.000287
0.0007935850.999772820.000279
0.0007938420.999768980.000277
0.0007940990.999764990.000274
0.0007943570.999760180.000275
0.0007946140.999758920.000279
0.0007948720.999758140.000278
0.0007951290.999758330.000282
0.0007953870.999759830.00028
0.0007956450.999759460.000279
0.0007959040.999756730.000276
0.0007961620.999752790.000278
0.0007964210.999749490.00028
0.0007966790.999747820.000286
0.0007969380.999749580.000291
0.0007971970.999753260.000294
0.0007974570.999753640.000292
0.0007977160.999754180.000299
0.0007979760.999758730.000302
0.0007982350.999766340.000306
0.0007984950.999772660.0003
0.0007987550.999774810.000298
0.0007990160.999779120.000297
0.0007992760.999782440.00029
0.0007995370.999779880.000283
0.0007997970.999775740.000283
0.0008000580.999775190.000285
0.0008003190.99977380.000283
0.0008005810.999774150.000289
0.0008008420.999779960.00029
0.0008011040.999784060.000285
0.0008013660.999783960.00028
0.0008016280.999780810.000277
0.000801890.999779250.00028
0.0008021520.999781770.000281
0.0008024150.999782270.000277
0.0008026770.999780990.000278
0.000802940.99978110.000279
0.0008032030.99978480.000283
0.0008034660.999790650.00028
0.0008037290.999793860.000275
0.0008039930.999793770.000269
0.0008042570.999793020.000267
0.0008045210.999792880.000263
0.0008047850.999790920.000259
0.0008050490.999788150.000257
0.0008053130.999785950.000256
0.0008055780.999784180.000255
0.0008058420.999782210.000254
0.0008061070.999780440.000254
0.0008063720.999779790.000254
0.0008066380.99977710.000251
0.0008069030.99977390.000254
0.0008071690.999775410.000257
0.0008074340.999774840.000252
0.00080770.999770070.000253
0.0008079670.999768260.000258
0.0008082330.999769230.000261
0.0008084990.999771710.000264
0.0008087660.999774980.000264
0.0008090330.999777780.000263
0.00080930.999777840.000259
0.0008095670.999776740.00026
0.0008098340.999777240.00026
0.0008101020.999778080.00026
0.000810370.999777260.000258
0.0008106370.999776540.000261
0.0008109060.999779010.000263
0.0008111740.999780970.000262
0.0008114420.999785180.000265
0.0008117110.999789180.000259
0.000811980.999790160.000257
0.0008122490.999792540.000254
0.0008125180.999791930.000247
0.0008127870.999790470.000246
0.0008130560.999788270.00024
0.0008133260.999783290.000239
0.0008135960.999778810.00024
0.0008138660.999778230.000246
0.0008141360.999783590.000248
0.0008144070.999785230.00024
0.0008146770.999782710.000239
0.0008149480.999781070.000237
0.0008152190.999778150.000236
0.000815490.999777650.000239
0.0008157610.999779070.000237
0.0008160330.999778750.000234
0.0008163040.999774560.000229
0.0008165760.99976930.000231
0.0008168480.999765560.000232
0.000817120.99976280.000236
0.0008173930.99976230.000239
0.0008176650.999761290.00024
0.0008179380.999759940.000243
0.0008182110.99975850.000245
0.0008184840.999755850.000249
0.0008187570.999756220.000258
0.0008190310.999759780.000264
0.0008193040.999768060.000273
0.0008195780.999777960.000271
0.0008198520.999783090.000269
0.0008201260.999789460.000271
0.0008204010.999799240.000269
0.0008206750.99980750.000261
0.000820950.999810530.000251
0.0008212250.99981340.000246
0.00082150.999812840.000232
0.0008217750.999806180.000226
0.0008220510.999800240.000224
0.0008223270.999798230.000226
0.0008226020.999798620.000223
0.0008228780.999795330.000218
0.0008231550.999791140.000219
0.0008234310.999791450.000221
0.0008237080.99979110.000216
0.0008239840.999786910.000214
0.0008242610.999783160.000215
0.0008245390.999780090.000216
0.0008248160.999777140.000219
0.0008250930.999777210.000225
0.0008253710.999781350.000229
0.0008256490.99978660.000229
0.0008259270.999791280.000227
0.0008262050.999793890.000222
0.0008264840.999793870.000218
0.0008267620.999792080.000215
0.0008270410.999792930.000217
0.000827320.999794840.000212
0.00082760.999792550.000208
0.0008278790.999790720.000209
0.0008281590.999791390.000209
0.0008284380.999794120.000209
0.0008287180.999796660.000204
0.0008289980.99979670.000199
0.0008292790.999793560.000193
0.0008295590.999789830.000193
0.000829840.999789130.000193
0.0008301210.999789120.000191
0.0008304020.999789030.000189
0.0008306830.999787360.000185
0.0008309650.999787410.000186
0.0008312470.999787190.000179
0.0008315280.999782830.000176
0.000831810.999780990.000177
0.0008320930.999781380.000174
0.0008323750.999780170.000169
0.0008326580.999775640.000163
0.0008329410.99976920.000161
0.0008332240.999763890.000161
0.0008335070.999759330.000161
0.000833790.999755170.000162
0.0008340740.999751060.000163
0.0008343580.999748510.000167
0.0008346420.999749840.00017
0.0008349260.999750390.000167
0.000835210.999749620.000167
0.0008354950.999748680.000164
0.000835780.999747080.000163
0.0008360640.999745230.00016
0.000836350.999743890.000159
0.0008366350.999741470.000153
0.000836920.999735310.000149
0.0008372060.999728580.000148
0.0008374920.999722520.000148
0.0008377780.999717260.000149
0.0008380650.999713270.00015
0.0008383510.999708950.000149
0.0008386380.999703660.000149
0.0008389250.999697870.000149
0.0008392120.999692850.000151
0.0008394990.999689110.000151
0.0008397870.999682760.000148
0.0008400740.999674970.000149
0.0008403620.99966660.000148
0.000840650.999657130.00015
0.0008409390.999648590.000152
0.0008412270.99963910.000152
0.0008415160.999626260.000151
0.0008418050.999606610.00015
0.0008420940.999581740.000159
0.0008423830.999559830.000179
0.0008426720.999549070.000205
0.0008429620.999542210.000217
0.0008432520.999525990.000225
0.0008435420.999492280.000234
0.0008438320.999443550.000271
0.0008441230.999412460.000353
0.0008444130.999414650.000437
0.0008447040.999428210.000512
0.0008449950.999455850.000612
0.0008452870.999538840.000736
0.0008455780.999693980.000819
0.000845870.999872880.000802
0.0008461620.999998010.000699
0.0008464541.00006220.000608
0.0008467461.00010430.000526
0.0008470391.00013030.000441
0.0008473311.00013180.000353
0.0008476241.0001110.000282
0.0008479171.0000780.000227
0.000848211.00004110.000193
0.0008485041.00000810.000172
0.0008487980.999981540.00016
0.0008490920.999959060.000149
0.0008493860.999940010.000144
0.000849680.999924460.000138
0.0008499740.99991020.000134
0.0008502690.999898020.000131
0.0008505640.999887470.000128
0.0008508590.999876240.000124
0.0008511550.999866580.000125
0.000851450.999859380.000123
0.0008517460.999851890.000121
0.0008520420.999842860.000118
0.0008550130.999801710.000134
0.0008580040.999783550.000121
0.0008610170.999779270.000131
0.0008640510.999762228.4e-05
0.0008671060.999721969.1e-05
0.0008701830.999704470.00011
0.0008732820.999705120.000122
0.0008764030.999706260.000114
0.0008795460.999703110.000108
0.0008827120.999682488.4e-05
0.0008859010.999660980.000105
0.0008891130.999660910.000112
0.0008923490.999659150.000106
0.0008956080.999645959.7e-05
0.0008988910.999633630.000106
0.0009021980.99962940.000107
0.0009055290.999615770.0001
0.0009088860.999611270.00012
0.0009122670.99960450.000102
0.0009156730.999593870.000121
0.0009191050.999595240.000118
0.0009225630.999586570.000113
0.0009260470.999579580.00012
0.0009295570.999572280.000115
0.0009330940.99956660.000124
0.0009366590.99955820.000115
0.000940250.999550910.000129
0.0009438690.999546330.000122
0.0009475160.999538370.00013
0.0009511910.999532660.000129
0.0009548950.9995280.000137
0.0009586280.999526730.000136
0.000962390.999520120.000133
0.0009661820.999513870.000137
0.0009700040.999508270.000135
0.0009738560.999501320.000137
0.0009777390.999493230.000136
0.0009816530.999486580.000142
0.0009855990.999480920.000141
0.0009895760.999474770.000145
0.0009935860.999466990.000143
0.0009976280.999460120.000151
0.0010017030.999457410.000152
0.0010058120.999451920.000151
0.0010099540.999443690.000151
0.0010141310.999436380.000155
0.0010183420.999429770.000156
0.0010225890.999421560.000159
0.0010268710.999418960.000167
0.0010311890.999414030.00016
0.0010355440.999405160.000165
0.0010399350.999398590.000165
0.0010443640.999390710.000168
0.0010488310.999382730.00017
0.0010533360.999376610.000176
0.001057880.999372040.000177
0.0010624630.999365780.000178
0.0010670870.99935730.000178
0.0010717510.999349330.000183
0.0010764550.999343040.000185
0.0010812010.999335520.000187
0.001085990.999327440.00019
0.001090820.999321340.000195
0.0010956940.999314450.000195
0.0011006120.999306990.0002
0.0011055740.999301250.000202
0.0011105810.999293950.000203
0.0011156340.999285050.000205
0.0011207330.999277650.00021
0.0011258780.999270550.000211
0.0011310710.999261790.000214
0.0011363120.999253990.000218
0.0011416020.999246360.000221
0.0011469420.99923920.000225
0.0011523310.999232360.000227
0.0011577720.999223310.000228
0.0011632640.999214750.000233
0.0011688090.999205860.000234
0.0011744060.999197070.00024
0.0011800580.999189420.000242
0.0011857640.999180070.000245
0.0011915250.999170760.000249
0.0011973430.999161590.000253
0.0012032180.999153220.000258
0.0012091510.999144880.000261
0.0012151430.999135880.000265
0.0012211940.999127610.000269
0.0012273060.999117970.000271
0.0012334790.999107360.000276
0.0012397150.999098880.000282
0.0012460150.999090910.000285
0.0012525060.999081420.000288
0.0012589360.99907120.000291
0.0012654330.999060650.000295
0.0012719970.999050190.000299
0.0012786290.999039340.000303
0.0012853310.999029050.000308
0.0012921040.999016920.00031
0.0012989480.999004740.000318
0.0013058650.998994030.000323
0.0013128560.998985840.000332
0.0013199230.998976350.000331
0.0013270660.998963530.000337
0.0013345770.998952530.000342
0.001341880.998939780.000344
0.0013492630.998926430.000351
0.0013567280.998914740.000356
0.0013642770.998901730.00036
0.0013719090.998887140.000365
0.0013796270.998872290.000372
0.0013874330.9988580.00038
0.0013953280.998846460.00039
0.0014033130.99883470.000394
0.001411390.998820330.000401
0.001419560.998808630.00041
0.0014278250.998795210.000412
0.0014361880.998779460.00042
0.0014469110.998759030.000427
0.0014554850.998741420.000437
0.001464160.998726670.000449
0.001472940.998714020.000459
0.0014818260.998700420.000467
0.0014908190.998688510.000478
0.0014999230.998675570.000481
0.0015091380.998657320.000487
0.0015184670.998639790.000498
0.0015279120.998623080.000507
0.0015374760.998608660.00052
0.001547160.998592150.000524
0.0015569670.998573740.000538
0.0015668980.998559710.000549
0.0015769580.998544180.000556
0.0015871470.998523260.000563
0.0015974690.998504710.000581
0.0016079260.99849330.000593
0.0016185210.998474480.000594
0.0016292560.998455160.000612
0.0016401350.998437050.000616
0.001651160.998416190.000631
0.0016623340.998396850.00064
0.0016736610.99837460.000652
0.0016851430.998352120.000666
0.0016967830.998333310.000684
0.0017085860.998314510.000694
0.0017205540.998293960.000709
0.001732690.998273390.00072
0.0017449990.998248360.000732
0.0017602350.998221850.000757
0.0017729270.998203510.000769
0.0017858040.998177340.000778
0.0017988690.998150860.0008
0.0018121270.998129910.000818
0.0018255810.998108180.000833
0.0018392370.998081470.000846
0.0018530990.998055410.000869
0.0018671710.998033410.000887
0.0018814590.998007640.000902
0.0018959660.997981950.000924
0.00191070.997956420.00094
0.0019256640.997929210.000961
0.0019408640.997902910.00098
0.0019563070.997873350.000998
0.0019719970.997843270.001022
0.001987940.997815320.001045
0.0020041440.997785610.001067
0.0020206140.997756650.001094
0.0020373570.997731510.001119
0.0020543790.997703840.001137
0.0020716890.997669970.001157
0.0020892930.997633360.001182
0.0021071980.997598020.001212
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0.0274380970.857971010.13256775
0.0275884430.855656920.1362186
0.0277404460.853749630.1406664
0.0278941320.852591430.14486955
0.0280495310.850947560.1478232
0.0283392430.845298690.1547427
0.0285021120.841900620.16181655
0.0286668640.840120330.169
0.0288335320.838765510.176
0.0290021490.83798340.184
0.029172750.838194740.192
0.029345370.839113280.2
0.0295200450.840634240.2079901
0.0296968110.843594860.2165035
0.0298757080.846733260.22242718
0.0300567730.849970110.22989898
0.0302400460.853138570.23497258
0.0304255670.855309310.24164218
0.030613380.85864440.2495313
0.0308035250.862707990.25630905
0.0309960470.866879540.2638932
0.0311909910.873466950.27276612
0.0313884020.880345080.27714487
0.0315883280.886249950.28379767
0.0317908170.894202280.29070768
0.0319959190.902636490.29505953
0.0322036850.912029340.30100373
0.0324141670.923934530.30423748
0.0326274180.934733240.3024848
0.0328434930.94188420.30004735
0.033062450.949581580.30112675
0.0332843460.954962070.29563525
0.033509240.960578190.29917754
0.0337371940.966112740.29302559
0.0339682710.967784750.29331529
0.0342025340.970627550.294
0.0344400520.973122790.29555712
0.0346808920.977313710.30042072
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0.0384447091.0699990.23638356
0.0387450591.06586060.234
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0.039360061.06408130.22673163
0.039674941.06245560.22200435
0.0399948991.06006150.21882708
0.0403200611.05710870.2158615
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0.0435032241.0504550.21634954
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0.0459200691.08267980.21237782
0.0463492291.08847180.20572918
0.0467864861.09373010.19807652
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0.0476862261.10285890.17948939
0.0481491991.10854430.169023
0.048621251.11134730.14922612
0.0491026481.10501590.129334
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0.0500946211.09122560.1062516
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0.0516600781.04158240.070756455
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0.0533265321.00016360.0672
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0.0570042240.925970180.072151511
0.0576670640.915146990.07665
0.05834550.905648350.079
0.0590400890.894078480.079
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0.0604800910.867840360.085
0.0612267590.855424490.090173167
0.0619920940.842488780.092609821
0.0627768040.829558950.098659009
0.0635816350.816523550.10078095
0.064407370.800183310.10406729
0.0652548350.783114080.11063996
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0.0688801040.703394020.14
0.0698502460.683882640.16
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0.0762979610.519625630.29
0.0774901170.495603230.34
0.0787201190.488606230.4
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0.0826561250.488999030.53
0.0855063360.501913360.62
0.0885601340.532811180.713
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0.0953724520.643705340.84316667
0.1078123370.752407510.96683333
0.1127128980.788314021.0318333
0.1239841870.893059731.15
0.1377602081.02420381.25
0.1549802341.17864781.335
0.1771202681.34275851.374298
0.1907449041.40838721.3661039
0.2066403121.44773011.3783333
0.2479683751.4893461.445
0.2881870711.50418861.6158333
0.3413908381.56335481.8633333
0.394594611.69231492.1675
0.4477983711.87448492.3733333
0.4803117851.97801852.4766667

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
—