Optical constants

Refractive index of L-TIM28 (OHARA)

L-TIM28: n,k 0.3–2.4 µm

Data
formula 2 + tabulated k
Range
0.3–2.4 µm
Temperature
298 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength. Note: k data cover 350-2400 nm only; k = 0 elsewhere in the n range 300-2400 nm.

At one wavelength

Range 0.3–2.4 µm
Refractive index n
1.68948
Extinction coefficient k
1.76522e-08
Permittivity ε1
2.85433
Permittivity ε2
5.96460e-08
Absorption coefficient α
0.00377509 cm⁻¹
Penetration depth δ = λ/(2πk)
5.29788e+09 nm
Abbe number Vd
31.023
Chromatic dispersion dn/dλ
-0.111961 µm⁻¹
Group index ng
1.75526
Group velocity dispersion
224.229 fs²/mm
Dispersion parameter D
-1223.29 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

# L-TIM28 (OHARA): L-TIM28
ohara_l_tim28 = ls.fetch_refractiveindex("specs", "OHARA-optical", "L-TIM28", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_l_tim28.range_nm)  # (300, 2400) nm
eps = ohara_l_tim28.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.

Dispersion formula

Sellmeier (C in µm²) (formula 2), λ in µm
n2−1=1.52780829λ2λ2−0.0114135883+0.232776367λ2λ2−0.0559068566+1.71638781λ2λ2−171.5118

Valid from 0.3 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.52780829
C30.0114135883
C40.232776367
C50.0559068566
C61.71638781
C7171.5118

Comments and conditions

Low Softening Temperature

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: -6.17e-06 5.7e-09 -3.8e-11 9.99e-07 1.21e-09 0.26
nd
1.689479
Vd
31.023399
glass code
689311
density
value: 2880
thermal expansion
value: 1.01e-05, temperature range: 243 343; value: 1.3e-05, temperature range: 293 573
dPgF
0.0074
resistance
acid: 1.0; climatic: 1.0; phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = -1.73e-06 K⁻¹ at 633 nm, dn/dT = -2.95e-06 K⁻¹ at 1310 nm, dn/dT = -3.03e-06 K⁻¹ at 1550 nm
Notes on the source data (kept exactly as published):
  • k data cover 350-2400 nm only; k = 0 elsewhere in the n range 300-2400 nm

References

Cite

OHARA Zemax catalog 2017-11-30 (obtained from http://www.ohara-inc.co.jp); See also OHARA glass data sheets; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 423 wavelengths, the same grid as the API and the library
L-TIM28 (OHARA), L-TIM28: n and k versus wavelength
λ (µm)nk
0.31.8339270
0.3015681.8304030
0.3031431.8270020
0.3047271.8237160
0.306321.8205410
0.307921.8174690
0.3095291.8144960
0.3111471.8116160
0.3127721.8088250
0.3144071.8061180
0.3160491.8034910
0.3177011.8009410
0.3193611.7984630
0.321031.7960550
0.3227071.7937140
0.3243931.7914360
0.3260881.7892190
0.3277921.787060
0.3295051.7849560
0.3312271.7829070
0.3329581.7809080
0.3346971.7789590
0.3364461.7770580
0.3382041.7752020
0.3399711.773390
0.3417481.771620
0.3435341.7698910
0.3453291.7682010
0.3471331.766550
0.3489471.7649340
0.351.7640171.282600e-05
0.350771.7633551.218244e-05
0.3526031.7618091.065107e-05
0.3544461.7602969.111701e-06
0.3562981.7588157.564285e-06
0.3581591.7573656.008783e-06
0.361.7559694.470900e-06
0.3600311.7559464.461758e-06
0.3619121.7545553.903629e-06
0.3638031.7531923.342585e-06
0.3657041.7518562.778609e-06
0.3676151.7505472.211686e-06
0.3695361.7492631.641800e-06
0.371.7489581.504100e-06
0.3714671.7480041.371504e-06
0.3734081.746771.196037e-06
0.3753591.7455581.019654e-06
0.377321.744378.423485e-07
0.3792921.7432046.641169e-07
0.381.7427926.001000e-07
0.3812741.7420595.639972e-07
0.3832661.7409355.075290e-07
0.3852691.7398324.507657e-07
0.3872821.7387493.937058e-07
0.3893051.7376843.363478e-07
0.391.7373253.166600e-07
0.391341.7366393.006249e-07
0.3933841.7356122.761481e-07
0.395441.7346032.515434e-07
0.3975061.7336112.268102e-07
0.3995831.7326362.019477e-07
0.41.7324431.969600e-07
0.4016711.7316781.892966e-07
0.403771.7307361.796724e-07
0.405881.729811.699979e-07
0.4080011.7288991.602729e-07
0.4101331.7280031.504971e-07
0.4122761.7271221.406702e-07
0.414431.7262551.307919e-07
0.4165951.7254031.208621e-07
0.4187721.7245641.108803e-07
0.421.7240981.052500e-07
0.420961.7237381.037645e-07
0.423161.7229251.003620e-07
0.4253711.7221259.694177e-08
0.4275941.7213389.350364e-08
0.4298281.7205639.004755e-08
0.4320741.71988.657339e-08
0.4343321.7190488.308109e-08
0.4366011.7183087.957053e-08
0.4388821.717587.604164e-08
0.441.7172287.431300e-08
0.4411761.7168627.341532e-08
0.4434811.7161557.165526e-08
0.4457981.7154586.988601e-08
0.4481281.7147726.810751e-08
0.4504691.7140966.631972e-08
0.4528231.713436.452259e-08
0.4551891.7127746.271606e-08
0.4575681.7121276.090010e-08
0.4599591.7114895.907465e-08
0.461.7114785.904300e-08
0.4623621.7108615.751612e-08
0.4647781.7102425.595433e-08
0.4672061.7096315.438438e-08
0.4696481.7090295.280622e-08
0.4721021.7084365.121982e-08
0.4745691.707854.962513e-08
0.4770481.7072734.802211e-08
0.4795411.7067044.641071e-08
0.481.7066014.611400e-08
0.4820471.7061434.507610e-08
0.4845661.705594.379881e-08
0.4870981.7050444.251485e-08
0.4896431.7045054.122418e-08
0.4922011.7039743.992676e-08
0.4947731.703453.862257e-08
0.4973581.7029333.731156e-08
0.4999571.7024233.599370e-08
0.51.7024153.597200e-08
0.502571.701923.479913e-08
0.5051961.7014233.360050e-08
0.5078351.7009333.239560e-08
0.5104891.700453.118441e-08
0.5131561.6999722.996689e-08
0.5158381.6995012.874301e-08
0.5185331.6990372.751274e-08
0.5212431.6985782.627603e-08
0.5239661.6981252.503286e-08
0.5267041.6976772.378320e-08
0.5294561.6972362.252701e-08
0.5322231.69682.126425e-08
0.5350041.696371.999489e-08
0.5377991.6959451.871891e-08
0.5406091.6955251.743625e-08
0.5434341.6951111.614689e-08
0.5462741.6947021.485080e-08
0.5491281.6942981.354793e-08
0.551.6941761.315000e-08
0.5519981.6938991.338918e-08
0.5548821.6935051.373455e-08
0.5577811.6931161.408172e-08
0.5606961.6927311.443071e-08
0.5636261.6923511.478152e-08
0.5665711.6919761.513416e-08
0.5695311.6916051.548865e-08
0.5725071.6912391.584499e-08
0.5754981.6908771.620319e-08
0.5785061.690521.656326e-08
0.5815281.6901671.692521e-08
0.5845671.6898181.728906e-08
0.5876221.6894731.765480e-08
0.5906921.6891321.802246e-08
0.5937791.6887951.839204e-08
0.5968811.6884621.876355e-08
0.61.6881331.913700e-08
0.6031351.6878081.956282e-08
0.6062871.6874871.999086e-08
0.6094551.6871692.042113e-08
0.6126391.6868552.085366e-08
0.615841.6865452.128844e-08
0.6190581.6862382.172550e-08
0.6222931.6859342.216484e-08
0.6255451.6856342.260648e-08
0.6288131.6853382.305042e-08
0.6320991.6850442.349668e-08
0.6354021.6847542.394528e-08
0.6387221.6844672.439622e-08
0.6420591.6841842.484951e-08
0.6454141.6839032.530518e-08
0.6487871.6836262.576322e-08
0.651.6835272.592800e-08
0.6521771.6833522.552781e-08
0.6555851.683082.490132e-08
0.659011.6828122.427156e-08
0.6624541.6825462.363851e-08
0.6659151.6822842.300215e-08
0.6693951.6820242.236247e-08
0.6728921.6817672.171944e-08
0.6764091.6815132.107306e-08
0.6799431.6812612.042329e-08
0.6834961.6810121.977014e-08
0.6870671.6807661.911357e-08
0.6906571.6805221.845356e-08
0.6942661.6802811.779011e-08
0.6978941.6800421.712320e-08
0.71.6799051.673600e-08
0.7015411.6798061.657630e-08
0.7052061.6795721.619629e-08
0.7088911.6793411.581430e-08
0.7125951.6791121.543030e-08
0.7163191.6788851.504431e-08
0.7200621.6786611.465629e-08
0.7238241.6784391.426625e-08
0.7276061.6782191.387417e-08
0.7314081.6780011.348004e-08
0.735231.6777851.308385e-08
0.7390721.6775721.268559e-08
0.7429341.6773611.228525e-08
0.7468161.6771511.188282e-08
0.7507181.6769441.147828e-08
0.7546411.6767391.107164e-08
0.7585841.6765351.066286e-08
0.7625471.6763341.025195e-08
0.7665321.6761359.838897e-09
0.7705371.6759379.423682e-09
0.7745641.6757419.006298e-09
0.7786111.6755488.586733e-09
0.7826791.6753558.164976e-09
0.7867691.6751657.741014e-09
0.790881.6749777.314838e-09
0.7950121.674796.886435e-09
0.7991671.6746056.455793e-09
0.81.6745686.369400e-09
0.8033421.6744216.396013e-09
0.807541.6742396.429434e-09
0.811761.6740596.463031e-09
0.8160011.6738816.496803e-09
0.8202651.6737046.530751e-09
0.8245511.6735286.564877e-09
0.828861.6733546.599181e-09
0.8331911.6731816.633664e-09
0.8375441.673016.668328e-09
0.8419211.6728416.703172e-09
0.846321.6726736.738199e-09
0.8507421.6725066.773409e-09
0.8551871.6723416.808803e-09
0.8596561.6721776.844381e-09
0.8641481.6720146.880146e-09
0.8686631.6718526.916097e-09
0.8732021.6716926.952236e-09
0.8777651.6715346.988565e-09
0.8823511.6713767.025083e-09
0.8869621.671227.061791e-09
0.8915971.6710657.098692e-09
0.8962551.6709117.135785e-09
0.91.6707887.165600e-09
0.9009391.6707587.173072e-09
0.9056461.6706067.210549e-09
0.9103781.6704567.248222e-09
0.9151351.6703067.286092e-09
0.9199171.6701587.324160e-09
0.9247241.6700117.362427e-09
0.9295561.6698657.400894e-09
0.9344131.6697197.439561e-09
0.9392951.6695757.478431e-09
0.9442041.6694327.517504e-09
0.9491371.669297.556781e-09
0.9540971.6691497.596264e-09
0.9590821.6690087.635952e-09
0.9640931.6688697.675848e-09
0.9691311.6687317.715953e-09
0.9741951.6685937.756267e-09
0.9792851.6684567.796791e-09
0.9844021.668327.837528e-09
0.9895461.6681857.878477e-09
0.9947171.6680517.919640e-09
0.9999141.6679187.961019e-09
11.6679157.961700e-09
1.005141.6677858.002618e-09
1.010391.6676538.044435e-09
1.015671.6675228.086471e-09
1.020981.6673928.128726e-09
1.026311.6672628.171202e-09
1.031681.6671338.213901e-09
1.037071.6670058.256822e-09
1.042491.6668778.299967e-09
1.047931.666758.343338e-09
1.053411.6666248.386935e-09
1.058911.6664988.430761e-09
1.064451.6663738.474815e-09
1.070011.6662498.519099e-09
1.07561.6661258.563615e-09
1.081221.6660018.608364e-09
1.086871.6658788.653346e-09
1.092551.6657568.698564e-09
1.098261.6656348.744017e-09
1.1041.6655138.789708e-09
1.109761.6653928.835638e-09
1.115561.6652728.881808e-09
1.121391.6651528.928219e-09
1.127251.6650338.974873e-09
1.133141.6649149.021770e-09
1.139061.6647959.068913e-09
1.145011.6646779.116301e-09
1.1511.6645599.163938e-09
1.157011.6644429.211823e-09
1.163061.6643259.259959e-09
1.169131.6642089.308346e-09
1.175241.6640919.356986e-09
1.181381.6639759.405880e-09
1.187561.663869.455029e-09
1.193761.6637449.504436e-09
1.21.6636299.554100e-09
1.21.6636299.554100e-09
1.206271.6635149.953828e-09
1.212571.6633991.035564e-08
1.218911.6632851.075956e-08
1.225281.663171.116559e-08
1.231681.6630561.157373e-08
1.238121.6629421.198401e-08
1.244591.6628291.239644e-08
1.251091.6627151.281102e-08
1.257631.6626021.322776e-08
1.26421.6624881.364669e-08
1.27081.6623751.406780e-08
1.277441.6622621.449111e-08
1.284121.6621491.491664e-08
1.290831.6620361.534438e-08
1.297571.6619241.577437e-08
1.304351.6618111.620660e-08
1.311171.6616981.664109e-08
1.318021.6615861.707784e-08
1.324911.6614731.751689e-08
1.331831.661361.795822e-08
1.338791.6612481.840186e-08
1.345781.6611351.884782e-08
1.352821.6610221.929611e-08
1.359891.660911.974674e-08
1.366991.6607972.019973e-08
1.374131.6606842.065508e-08
1.381311.6605712.111281e-08
1.388531.6604582.157294e-08
1.395791.6603452.203547e-08
1.41.6602792.230400e-08
1.403081.6602312.294359e-08
1.410411.6601182.446552e-08
1.417781.6600042.599540e-08
1.425191.659892.753328e-08
1.432641.6597762.907920e-08
1.440121.6596623.063319e-08
1.447651.6595483.219530e-08
1.455211.6594333.376557e-08
1.462821.6593183.534405e-08
1.470461.6592033.693078e-08
1.478141.6590883.852580e-08
1.485871.6589724.012915e-08
1.493631.6588564.174088e-08
1.501441.658744.336103e-08
1.509281.6586244.498965e-08
1.517171.6585074.662678e-08
1.525091.6583894.827246e-08
1.533061.6582724.992674e-08
1.541071.6581545.158967e-08
1.549131.6580355.326128e-08
1.557221.6579175.494163e-08
1.565361.6577975.663076e-08
1.573541.6576785.832871e-08
1.581761.6575586.003554e-08
1.590021.6574376.175129e-08
1.598331.6573166.347600e-08
1.61.6572926.382200e-08
1.606681.6571957.136119e-08
1.615081.6570738.082933e-08
1.623521.656959.034695e-08
1.6321.6568279.991430e-08
1.640531.6567041.095316e-07
1.64911.6565791.191992e-07
1.657721.6564551.289174e-07
1.666381.6563291.386862e-07
1.675091.6562031.485062e-07
1.683841.6560771.583774e-07
1.692641.655951.683003e-07
1.701481.6558221.782749e-07
1.710371.6556931.883017e-07
1.719311.6555641.983809e-07
1.72831.6554342.085128e-07
1.737331.6553042.186976e-07
1.74641.6551722.289356e-07
1.755531.655042.392271e-07
1.76471.6549082.495724e-07
1.773921.6547742.599717e-07
1.783191.6546392.704254e-07
1.792511.6545042.809337e-07
1.81.6543962.893800e-07
1.801881.6543682.924509e-07
1.811291.6542313.078542e-07
1.820761.6540943.233380e-07
1.830271.6539553.389027e-07
1.839831.6538163.545487e-07
1.849451.6536753.702765e-07
1.859111.6535343.860865e-07
1.868831.6533914.019791e-07
1.878591.6532484.179548e-07
1.888411.6531044.340139e-07
1.898271.6529594.501569e-07
1.908191.6528124.663843e-07
1.918161.6526654.826964e-07
1.928191.6525174.990938e-07
1.938261.6523675.155769e-07
1.948391.6522175.321461e-07
1.958571.6520655.488019e-07
1.96881.6519135.655447e-07
1.979091.6517595.823750e-07
1.989431.6516045.992933e-07
1.999831.6514486.162999e-07
21.6514456.165800e-07
2.010281.651296.530950e-07
2.020781.6511326.904122e-07
2.031341.6509727.279243e-07
2.041961.6508117.656325e-07
2.052631.6506488.035377e-07
2.063351.6504848.416409e-07
2.074131.6503198.799433e-07
2.084971.6501539.184458e-07
2.095861.6499859.571494e-07
2.106821.6498169.960554e-07
2.117821.6496451.035165e-06
2.128891.6494741.074478e-06
2.140011.64931.113997e-06
2.15121.6491251.153723e-06
2.162441.6489491.193656e-06
2.173741.6487711.233797e-06
2.18511.6485911.274149e-06
2.196511.648411.314711e-06
2.21.6483551.327100e-06
2.207991.6482281.362995e-06
2.219531.6480431.414826e-06
2.231121.6478581.466928e-06
2.242781.647671.519303e-06
2.25451.6474811.571951e-06
2.266281.647291.624874e-06
2.278121.6470971.678073e-06
2.290031.6469031.731551e-06
2.301991.6467071.785308e-06
2.314021.6465091.839346e-06
2.326111.6463091.893666e-06
2.338271.6461071.948270e-06
2.350491.6459032.003159e-06
2.362771.6456982.058336e-06
2.375111.645492.113800e-06
2.387521.6452812.169554e-06
2.41.645072.225600e-06

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
—