Optical constants

Refractive index of S-TIH57 (OHARA)

S-TIH57: n,k 0.365–2.325 µm

Data
formula 2 + tabulated k
Range
0.365–2.325 µm
Temperature
298 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength. Note: k data cover 370-2400 nm only; k = 0 elsewhere in the n range 365.015-2325.42 nm.

At one wavelength

Range 0.365–2.325 µm
Refractive index n
1.96299
Extinction coefficient k
6.63838e-08
Permittivity ε1
3.85334
Permittivity ε2
2.60622e-07
Absorption coefficient α
0.0141968 cm⁻¹
Penetration depth δ = λ/(2πk)
1.40877e+09 nm
Abbe number Vd
24.114
Chromatic dispersion dn/dλ
-0.199257 µm⁻¹
Group index ng
2.08008
Group velocity dispersion
416.314 fs²/mm
Dispersion parameter D
-2271.21 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

# S-TIH57 (OHARA): S-TIH57
ohara_s_tih57 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-TIH57", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_tih57.range_nm)  # (365.015, 2325.42) nm
eps = ohara_s_tih57.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=2.21103256λ2λ2−0.0142330268+0.450346986λ2λ2−0.0638573392+2.47746663λ2λ2−161.9376

Valid from 0.365015 to 2.32542 µm.

Coefficients as stored
CiValue
C10.0
C22.21103256
C30.0142330268
C40.450346986
C50.0638573392
C62.47746663
C7161.9376

Comments and conditions

Recommended

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: -2.66e-06 1.11e-08 -1.56e-11 1.12e-06 1.58e-09 0.293
nd
1.963000
Vd
24.114400
density
value: 4200
thermal expansion
value: 7.5e-06, temperature range: 243 343
dPgF
0.0187
resistance
acid: 3.0; climatic: 1.0; phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 6.48e-07 K⁻¹ at 633 nm, dn/dT = -1.38e-06 K⁻¹ at 1310 nm, dn/dT = -1.51e-06 K⁻¹ at 1550 nm
Notes on the source data (kept exactly as published):
  • k data cover 370-2400 nm only; k = 0 elsewhere in the n range 365.015-2325.42 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 422 wavelengths, the same grid as the API and the library
S-TIH57 (OHARA), S-TIH57: n and k versus wavelength
λ (µm)nk
0.3650152.0828570
0.3667132.0804440
0.3684192.0780820
0.372.0759441.151800e-05
0.3701332.0757671.144712e-05
0.3718542.0734991.052624e-05
0.3735842.0712779.601088e-06
0.3753222.0690988.671629e-06
0.3770682.0669627.737846e-06
0.3788222.0648686.799720e-06
0.382.0634896.169500e-06
0.3805842.0628136.010186e-06
0.3823542.0607985.527109e-06
0.3841332.058825.041785e-06
0.385922.0568794.554204e-06
0.3877152.0549734.064354e-06
0.3895182.0531023.572226e-06
0.392.052613.440800e-06
0.391332.0512653.268197e-06
0.3931512.0494613.032008e-06
0.3949792.0476892.794719e-06
0.3968172.0459482.556327e-06
0.3986632.0442382.316826e-06
0.42.0430222.143300e-06
0.4005172.0425572.115081e-06
0.402382.0409042.013404e-06
0.4042522.039281.911253e-06
0.4061322.0376831.808628e-06
0.4080222.0361131.705525e-06
0.409922.0345691.601942e-06
0.4118262.033051.497878e-06
0.4137422.0315561.393329e-06
0.4156672.0300861.288294e-06
0.41762.0286391.182771e-06
0.4195432.0272161.076757e-06
0.422.0268851.051800e-06
0.4214942.0258161.018827e-06
0.4234552.0244379.755632e-07
0.4254252.023089.320981e-07
0.4274042.0217448.884308e-07
0.4293922.0204288.445604e-07
0.4313892.0191338.004859e-07
0.4333962.0178577.562063e-07
0.4354122.0166017.117209e-07
0.4374372.0153636.670284e-07
0.4394722.0141446.221281e-07
0.442.0138316.104800e-07
0.4415162.0129435.934356e-07
0.443572.0117595.703509e-07
0.4456342.0105935.471589e-07
0.4477062.0094445.238590e-07
0.4497892.0083115.004507e-07
0.4518812.0071954.769335e-07
0.4539832.0060944.533070e-07
0.4560952.0050094.295705e-07
0.4582172.003944.057236e-07
0.462.0030563.856800e-07
0.4603482.0028853.838627e-07
0.462492.0018463.726878e-07
0.4646412.000823.614610e-07
0.4668021.9998093.501819e-07
0.4689741.9988123.388504e-07
0.4711551.9978283.274662e-07
0.4733471.9968583.160290e-07
0.4755491.9959013.045386e-07
0.4777611.9949562.929947e-07
0.4799831.9940252.813971e-07
0.481.9940182.813100e-07
0.4822161.9931052.727539e-07
0.4844591.9921982.640932e-07
0.4867131.9913032.553923e-07
0.4889771.990422.466509e-07
0.4912511.9895482.378688e-07
0.4935361.9886872.290458e-07
0.4958321.9878382.201818e-07
0.4981391.9872.112766e-07
0.51.9863342.040900e-07
0.5004561.9861722.030762e-07
0.5027841.9853551.978989e-07
0.5051231.9845481.926974e-07
0.5074721.9837521.874718e-07
0.5098331.9829651.822219e-07
0.5122041.9821881.769476e-07
0.5145871.9814211.716487e-07
0.5169811.9806641.663251e-07
0.5193861.9799161.609768e-07
0.5218021.9791771.556037e-07
0.5242291.9784481.502055e-07
0.5266671.9777271.447822e-07
0.5291171.9770151.393337e-07
0.5315791.9763111.338599e-07
0.5340511.9756171.283606e-07
0.5365361.974931.228357e-07
0.5390311.9742521.172851e-07
0.5415391.9735821.117087e-07
0.5440581.9729191.061063e-07
0.5465891.9722651.004779e-07
0.5491311.9716199.482331e-08
0.551.97149.289100e-08
0.5516861.970989.170274e-08
0.5542521.9703488.989357e-08
0.556831.9697248.807599e-08
0.559421.9691078.624995e-08
0.5620221.9684978.441542e-08
0.5646371.9678948.257236e-08
0.5672631.9672998.072072e-08
0.5699021.966717.886047e-08
0.5725531.9661287.699157e-08
0.5752161.9655527.511397e-08
0.5778921.9649837.322764e-08
0.580581.964427.133253e-08
0.5832811.9638646.942861e-08
0.5859941.9633146.751583e-08
0.588721.962776.559416e-08
0.5914591.9622326.366354e-08
0.594211.96176.172395e-08
0.5969741.9611745.977533e-08
0.5997511.9606545.781765e-08
0.61.9606085.764200e-08
0.6025411.9601395.708925e-08
0.6053441.9596315.647946e-08
0.6081591.9591275.586684e-08
0.6109881.9586295.525137e-08
0.613831.9581375.463304e-08
0.6166861.957655.401183e-08
0.6195541.9571685.338773e-08
0.6224361.9566915.276073e-08
0.6253321.956225.213081e-08
0.6282411.9557535.149797e-08
0.6311631.9552915.086217e-08
0.6340991.9548355.022342e-08
0.6370491.9543834.958170e-08
0.6400121.9539354.893700e-08
0.6429891.9534934.828929e-08
0.645981.9530554.763858e-08
0.6489851.9526224.698483e-08
0.651.9524774.676400e-08
0.6520041.9521934.623334e-08
0.6550371.9517684.543017e-08
0.6580841.9513484.462326e-08
0.6611451.9509334.381259e-08
0.664221.9505214.299815e-08
0.667311.9501144.217993e-08
0.6704141.9497114.135790e-08
0.6735331.9493124.053204e-08
0.6766661.9489163.970234e-08
0.6798141.9485253.886879e-08
0.6829761.9481383.803135e-08
0.6861531.9477553.719002e-08
0.6893451.9473753.634478e-08
0.6925511.9473.549561e-08
0.6957731.9466283.464248e-08
0.6990091.9462593.378539e-08
0.71.9461473.352300e-08
0.7022611.9458943.319754e-08
0.7055271.9455333.272727e-08
0.7088091.9451753.225481e-08
0.7121061.9448213.178015e-08
0.7154191.944473.130328e-08
0.7187471.9441233.082420e-08
0.722091.9437793.034288e-08
0.7254491.9434382.985933e-08
0.7288241.94312.937353e-08
0.7322141.9427662.888547e-08
0.735621.9424352.839514e-08
0.7390421.9421072.790253e-08
0.742481.9417822.740762e-08
0.7459331.9414592.691042e-08
0.7494031.941142.641090e-08
0.7528891.9408242.590905e-08
0.7563921.9405112.540488e-08
0.759911.9402012.489836e-08
0.7634451.9398932.438948e-08
0.7669961.9395892.387823e-08
0.7705641.9392872.336461e-08
0.7741481.9389882.284860e-08
0.777751.9386912.233018e-08
0.7813671.9383972.180936e-08
0.7850021.9381062.128611e-08
0.7886541.9378172.076043e-08
0.7923221.9375312.023230e-08
0.7960081.9372471.970172e-08
0.7997111.9369661.916867e-08
0.81.9369441.912700e-08
0.8034311.9366881.920902e-08
0.8071681.9364111.929838e-08
0.8109231.9361371.938816e-08
0.8146951.9358661.947835e-08
0.8184841.9355971.956896e-08
0.8222921.935331.966000e-08
0.8261171.9350651.975145e-08
0.829961.9348021.984333e-08
0.833821.9345421.993564e-08
0.8376991.9342842.002838e-08
0.8415961.9340282.012155e-08
0.8455111.9337742.021516e-08
0.8494441.9335222.030920e-08
0.8533951.9332722.040367e-08
0.8573651.9330252.049859e-08
0.8613531.9327792.059395e-08
0.865361.9325352.068975e-08
0.8693851.9322932.078599e-08
0.8734291.9320532.088269e-08
0.8774921.9318152.097983e-08
0.8815741.9315792.107743e-08
0.8856751.9313442.117548e-08
0.8897941.9311122.127399e-08
0.8939331.9308812.137295e-08
0.8980921.9306522.147237e-08
0.91.9305482.151800e-08
0.9022691.9304242.157226e-08
0.9064661.9301992.167261e-08
0.9106831.9299752.177343e-08
0.9149191.9297522.187472e-08
0.9191751.9295322.197648e-08
0.9234511.9293132.207871e-08
0.9277471.9290952.218142e-08
0.9320621.9288792.228460e-08
0.9363981.9286652.238827e-08
0.9407541.9284522.249242e-08
0.945131.928242.259705e-08
0.9495261.928032.270217e-08
0.9539431.9278222.280778e-08
0.958381.9276152.291388e-08
0.9628391.9274092.302047e-08
0.9673171.9272052.312756e-08
0.9718171.9270022.323514e-08
0.9763381.92682.334323e-08
0.9808791.92662.345182e-08
0.9854421.9264012.356092e-08
0.9900261.9262032.367052e-08
0.9946311.9260072.378063e-08
0.9992581.9258112.389126e-08
11.925782.390900e-08
1.003911.9256172.400239e-08
1.008581.9254242.411405e-08
1.013271.9252332.422623e-08
1.017981.9250422.433892e-08
1.022721.9248532.445215e-08
1.027471.9246652.456589e-08
1.032251.9244772.468017e-08
1.037051.9242912.479498e-08
1.041881.9241062.491032e-08
1.046731.9239222.502620e-08
1.051591.9237392.514262e-08
1.056491.9235572.525958e-08
1.06141.9233762.537709e-08
1.066341.9231962.549514e-08
1.07131.9230172.561374e-08
1.076281.9228392.573289e-08
1.081291.9226622.585259e-08
1.086321.9224852.597286e-08
1.091371.922312.609368e-08
1.096451.9221352.621506e-08
1.101551.9219612.633701e-08
1.106671.9217882.645953e-08
1.111821.9216162.658261e-08
1.116991.9214452.670627e-08
1.122191.9212742.683051e-08
1.127411.9211042.695532e-08
1.132651.9209352.708071e-08
1.137921.9207672.720668e-08
1.143211.9205992.733325e-08
1.148531.9204322.746040e-08
1.153871.9202662.758814e-08
1.159241.92012.771647e-08
1.164631.9199352.784541e-08
1.170051.9197712.797494e-08
1.175491.9196072.810507e-08
1.180961.9194442.823582e-08
1.186461.9192812.836716e-08
1.191981.9191192.849912e-08
1.197521.9189572.863170e-08
1.21.9188852.869100e-08
1.203091.9187962.876489e-08
1.208691.9186362.889870e-08
1.214311.9184762.903313e-08
1.219961.9183162.916819e-08
1.225631.9181572.930387e-08
1.231331.9179992.944019e-08
1.237061.917842.957714e-08
1.242821.9176832.971473e-08
1.24861.9175252.985296e-08
1.254411.9173682.999183e-08
1.260241.9172123.013134e-08
1.26611.9170553.027151e-08
1.271991.91693.041233e-08
1.277911.9167443.055380e-08
1.283851.9165893.069593e-08
1.289831.9164343.083873e-08
1.295831.9162793.098218e-08
1.301851.9161253.112631e-08
1.307911.9159713.127110e-08
1.313991.9158173.141657e-08
1.320111.9156633.156271e-08
1.326251.915513.170954e-08
1.332421.9153563.185704e-08
1.338611.9152033.200524e-08
1.344841.915053.215412e-08
1.35111.9148983.230370e-08
1.357381.9147453.245397e-08
1.363691.9145933.260494e-08
1.370041.914443.275661e-08
1.376411.9142883.290899e-08
1.382811.9141363.306207e-08
1.389251.9139843.321587e-08
1.395711.9138323.337039e-08
1.41.9137313.347300e-08
1.40221.913683.380696e-08
1.408721.9135283.479673e-08
1.415281.9133763.579111e-08
1.421861.9132233.679011e-08
1.428471.9130713.779375e-08
1.435121.9129193.880207e-08
1.441791.9127673.981508e-08
1.44851.9126154.083279e-08
1.455241.9124634.185525e-08
1.462011.912314.288246e-08
1.468811.9121584.391444e-08
1.475641.9120054.495123e-08
1.482511.9118534.599284e-08
1.48941.91174.703930e-08
1.496331.9115474.809062e-08
1.503291.9113944.914683e-08
1.510281.911245.020796e-08
1.517311.9110875.127402e-08
1.524371.9109335.234505e-08
1.531461.9107795.342105e-08
1.538581.9106245.450206e-08
1.545741.910475.558810e-08
1.552931.9103155.667919e-08
1.560151.910165.777535e-08
1.567411.9100045.887661e-08
1.57471.9098495.998300e-08
1.582031.9096926.109453e-08
1.589391.9095366.221124e-08
1.596781.9093796.333314e-08
1.61.9093116.382200e-08
1.604211.9092226.581186e-08
1.611671.9090646.934218e-08
1.619171.9089067.288892e-08
1.62671.9087487.645216e-08
1.634261.9085898.003197e-08
1.641871.9084298.362844e-08
1.64951.9082698.724164e-08
1.657181.9081099.087164e-08
1.664891.9079489.451853e-08
1.672631.9077879.818238e-08
1.680411.9076251.018633e-07
1.688231.9074621.055613e-07
1.696081.9072991.092765e-07
1.703971.9071361.130090e-07
1.71191.9069721.167589e-07
1.719861.9068071.205262e-07
1.727861.9066411.243110e-07
1.73591.9064751.281135e-07
1.743971.9063081.319336e-07
1.752081.9061411.357715e-07
1.760231.9059731.396272e-07
1.768421.9058041.435009e-07
1.776651.9056341.473926e-07
1.784911.9054641.513024e-07
1.793221.9052931.552304e-07
1.81.9051531.584400e-07
1.801561.9051211.600898e-07
1.809941.9049491.689682e-07
1.818361.9047751.778880e-07
1.826821.9046011.868493e-07
1.835311.9044261.958522e-07
1.843851.904252.048971e-07
1.852431.9040732.139840e-07
1.861041.9038952.231131e-07
1.86971.9037162.322848e-07
1.87841.9035372.414991e-07
1.887141.9033562.507563e-07
1.895911.9031752.600565e-07
1.904731.9029922.694000e-07
1.913591.9028092.787869e-07
1.92251.9026242.882176e-07
1.931441.9024392.976920e-07
1.940421.9022523.072106e-07
1.949451.9020653.167734e-07
1.958521.9018763.263808e-07
1.967631.9016863.360328e-07
1.976781.9014953.457297e-07
1.985981.9013033.554717e-07
1.995211.9011093.652590e-07
21.9010093.703300e-07
2.004491.9009153.834329e-07
2.013821.9007194.106150e-07
2.023191.9005224.379235e-07
2.03261.9003244.653591e-07
2.042051.9001254.929223e-07
2.051551.8999245.206138e-07
2.061091.8997225.484340e-07
2.070681.8995185.763837e-07
2.080311.8993146.044633e-07
2.089991.8991086.326736e-07
2.099711.89896.610151e-07
2.109481.8986916.894884e-07
2.119291.8984817.180942e-07
2.129151.8982697.468331e-07
2.139061.8980567.757056e-07
2.149011.8978418.047125e-07
2.1591.8976258.338542e-07
2.169051.8974078.631316e-07
2.179141.8971888.925451e-07
2.189271.8969679.220954e-07
2.199461.8967449.517832e-07
2.21.8967329.533700e-07
2.209691.896521.057529e-06
2.219971.8962941.168053e-06
2.230291.8960671.279091e-06
2.240671.8958381.390646e-06
2.251091.8956071.502719e-06
2.261561.8953741.615314e-06
2.272081.895141.728433e-06
2.282651.8949031.842077e-06
2.293271.8946651.956251e-06
2.303941.8944252.070955e-06
2.314651.8941842.186193e-06
2.325421.893942.301967e-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
—