Optical constants

Refractive index of S-TIH13 (OHARA)

S-TIH13: n,k 0.37–2.4 µm

Data
formula 2 + tabulated k
Range
0.37–2.4 µm
Temperature
298 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.37–2.4 µm
Refractive index n
1.74076
Extinction coefficient k
3.28468e-08
Permittivity ε1
3.03026
Permittivity ε2
1.14357e-07
Absorption coefficient α
0.0070246 cm⁻¹
Penetration depth δ = λ/(2πk)
2.84714e+09 nm
Abbe number Vd
27.789
Chromatic dispersion dn/dλ
-0.13367 µm⁻¹
Group index ng
1.81931
Group velocity dispersion
272.965 fs²/mm
Dispersion parameter D
-1489.17 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-TIH13 (OHARA): S-TIH13
ohara_s_tih13 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-TIH13", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_tih13.range_nm)  # (370, 2400) nm
eps = ohara_s_tih13.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=1.62224674λ2λ2−0.0118368386+0.293844589λ2λ2−0.0590208025+1.99225164λ2λ2−171.959976

Valid from 0.37 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.62224674
C30.0118368386
C40.293844589
C50.0590208025
C61.99225164
C7171.959976

Comments and conditions

Recommended - Lightweight

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: -1.65e-06 1.1e-08 -3.44e-11 8.43e-07 1.07e-09 0.3
nd
1.740769
Vd
27.789359
glass code
741278
density
value: 3100
thermal expansion
value: 8.3e-06, temperature range: 243 343; value: 9.6e-06, temperature range: 293 573
dPgF
0.013
resistance
acid: 1.0; climatic: 1.0; phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 6.16e-07 K⁻¹ at 633 nm, dn/dT = -6.35e-07 K⁻¹ at 1310 nm, dn/dT = -7.18e-07 K⁻¹ at 1550 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 421 wavelengths, the same grid as the API and the library
S-TIH13 (OHARA), S-TIH13: n and k versus wavelength
λ (µm)nk
0.371.8140387.436700e-06
0.3717381.8126026.652770e-06
0.3734841.8111935.865158e-06
0.3752381.809815.073847e-06
0.3770011.8084524.278819e-06
0.3787711.8071193.480056e-06
0.381.8062112.925900e-06
0.3805511.8058092.841066e-06
0.3823381.8045232.565655e-06
0.3841341.8032592.288951e-06
0.3859381.8020182.010947e-06
0.3877511.8007981.731638e-06
0.3895721.7995981.451016e-06
0.391.799321.385100e-06
0.3914021.798421.290490e-06
0.393241.7972611.166432e-06
0.3950871.7961211.041791e-06
0.3969431.7959.165640e-07
0.3988081.7938987.907492e-07
0.41.7932057.102900e-07
0.4006811.7928146.954727e-07
0.4025631.7917476.545165e-07
0.4044541.7906986.133679e-07
0.4063531.7896655.720261e-07
0.4082621.7886495.304901e-07
0.410181.7876494.887590e-07
0.4121061.7866644.468319e-07
0.4140421.7856954.047079e-07
0.4159871.784743.623860e-07
0.4179411.7838013.198653e-07
0.4199041.7828752.771449e-07
0.421.782832.750500e-07
0.4218761.7819642.636850e-07
0.4238581.7810662.516807e-07
0.4258481.7801812.396201e-07
0.4278491.779312.275028e-07
0.4298581.7784522.153286e-07
0.4318771.7776062.030971e-07
0.4339061.7767721.908083e-07
0.4359441.775951.784617e-07
0.4379921.7751411.660571e-07
0.441.7743611.538900e-07
0.4400491.7743431.537865e-07
0.4421161.7735561.494057e-07
0.4441921.772781.450043e-07
0.4462791.7720151.405822e-07
0.4483751.7712611.361394e-07
0.4504811.7705181.316757e-07
0.4525971.7697841.271910e-07
0.4547231.7690611.226852e-07
0.4568591.7683481.181583e-07
0.4590041.7676441.136102e-07
0.461.7673221.115000e-07
0.461161.766951.099609e-07
0.4633261.7662651.070878e-07
0.4655031.765591.042012e-07
0.4676891.7649231.013011e-07
0.4698861.7642659.838734e-08
0.4720931.7636169.545990e-08
0.474311.7629769.251870e-08
0.4765381.7623448.956369e-08
0.4787771.761728.659480e-08
0.481.7613838.497200e-08
0.4810251.7611048.390588e-08
0.4832851.7604968.155669e-08
0.4855551.7598967.919646e-08
0.4878351.7593047.682515e-08
0.4901271.7587197.444270e-08
0.4924291.7581417.204905e-08
0.4947421.7575716.964417e-08
0.4970661.7570086.722799e-08
0.49941.7564526.480046e-08
0.51.7563116.417700e-08
0.5017461.7559036.300951e-08
0.5041031.7553616.143372e-08
0.5064711.7548255.985053e-08
0.5088491.7542965.825990e-08
0.511241.7537745.666180e-08
0.5136411.7532585.505620e-08
0.5160531.7527485.344305e-08
0.5184771.7522445.182233e-08
0.5209131.7517465.019399e-08
0.5233591.7512554.855801e-08
0.5258181.7507694.691434e-08
0.5282871.7502894.526295e-08
0.5307691.7498154.360381e-08
0.5332621.7493464.193687e-08
0.5357661.7488834.026210e-08
0.5382831.7484253.857947e-08
0.5408111.7479733.688893e-08
0.5433521.7475253.519045e-08
0.5459041.7470833.348399e-08
0.5484681.7466473.176952e-08
0.551.7463893.074500e-08
0.5510441.7462153.080335e-08
0.5536321.7457883.094804e-08
0.5562331.7453663.109340e-08
0.5588451.7449483.123945e-08
0.561471.7445363.138618e-08
0.5641071.7441283.153360e-08
0.5667571.7437253.168172e-08
0.5694191.7433263.183052e-08
0.5720941.7429323.198003e-08
0.5747811.7425423.213024e-08
0.577481.7421563.228116e-08
0.5801931.7417753.243278e-08
0.5829181.7413983.258512e-08
0.5856561.7410253.273818e-08
0.5884071.7406563.289195e-08
0.5911711.7402913.304644e-08
0.5939471.739933.320166e-08
0.5967371.7395733.335761e-08
0.599541.739223.351429e-08
0.61.7391633.354000e-08
0.6023561.7388713.416315e-08
0.6051851.7385253.491143e-08
0.6080281.7381833.566323e-08
0.6108841.7378453.641857e-08
0.6137531.737513.717745e-08
0.6166361.7371793.793989e-08
0.6195321.7368513.870592e-08
0.6224421.7365273.947554e-08
0.6253661.7362064.024878e-08
0.6283031.7358884.102565e-08
0.6312541.7355744.180617e-08
0.6342191.7352634.259036e-08
0.6371981.7349554.337823e-08
0.6401911.7346514.416980e-08
0.6431981.7343494.496509e-08
0.6462191.734054.576411e-08
0.6492551.7337554.656689e-08
0.651.7336834.676400e-08
0.6523041.7334634.615378e-08
0.6553681.7331734.534240e-08
0.6584461.7328864.452722e-08
0.6615391.7326034.370820e-08
0.6646461.7323224.288533e-08
0.6677681.7320444.205861e-08
0.6709051.7317684.122799e-08
0.6740561.7314954.039348e-08
0.6772221.7312253.955505e-08
0.6804031.7309583.871267e-08
0.6835991.7306933.786635e-08
0.686811.7304313.701604e-08
0.6900361.7301713.616174e-08
0.6932771.7299143.530343e-08
0.6965331.7296593.444109e-08
0.6998051.7294073.357470e-08
0.71.7293923.352300e-08
0.7030921.7291573.307791e-08
0.7063941.728913.260249e-08
0.7097121.7286653.212484e-08
0.7130461.7284223.164495e-08
0.7163951.7281813.116280e-08
0.719761.7279433.067838e-08
0.723141.7277063.019170e-08
0.7265371.7274722.970272e-08
0.729951.7272412.921145e-08
0.7333781.7270112.871787e-08
0.7368231.7267832.822197e-08
0.7402841.7265582.772375e-08
0.7437611.7263342.722318e-08
0.7472541.7261122.672026e-08
0.7507641.7258932.621498e-08
0.7542911.7256752.570733e-08
0.7578331.725462.519729e-08
0.7613931.7252462.468486e-08
0.7649691.7250342.417002e-08
0.7685621.7248242.365276e-08
0.7721721.7246162.313307e-08
0.7757991.7244092.261094e-08
0.7794431.7242042.208636e-08
0.7831041.7240022.155931e-08
0.7867821.72382.102979e-08
0.7904781.7236012.049778e-08
0.7941911.7234031.996328e-08
0.7979211.7232071.942626e-08
0.81.7230991.912700e-08
0.8016691.7230121.904707e-08
0.8054351.7228191.886674e-08
0.8092181.7226281.868557e-08
0.8130191.7224381.850354e-08
0.8168371.722251.832066e-08
0.8206741.7220631.813692e-08
0.8245291.7218781.795232e-08
0.8284021.7216941.776685e-08
0.8322931.7215121.758051e-08
0.8362021.7213311.739329e-08
0.840131.7211521.720520e-08
0.8440761.7209741.701622e-08
0.848041.7207971.682635e-08
0.8520241.7206221.663559e-08
0.8560251.7204481.644394e-08
0.8600461.7202751.625139e-08
0.8640861.7201041.605793e-08
0.8681451.7199341.586356e-08
0.8722221.7197651.566828e-08
0.8763191.7195971.547208e-08
0.8804351.7194311.527496e-08
0.8845711.7192661.507692e-08
0.8887251.7191021.487794e-08
0.89291.7189391.467803e-08
0.8970941.7187771.447718e-08
0.91.7186661.433800e-08
0.9013071.7186171.446313e-08
0.9055411.7184571.486831e-08
0.9097941.7182991.527540e-08
0.9140671.7181421.568440e-08
0.9183611.7179861.609532e-08
0.9226741.7178311.650817e-08
0.9270081.7176771.692296e-08
0.9313621.7175231.733970e-08
0.9357371.7173711.775839e-08
0.9401321.717221.817905e-08
0.9445481.717071.860169e-08
0.9489851.7169211.902631e-08
0.9534421.7167731.945293e-08
0.957921.7166251.988155e-08
0.962421.7164792.031219e-08
0.966941.7163332.074484e-08
0.9714821.7161892.117953e-08
0.9760451.7160452.161626e-08
0.9806291.7159022.205504e-08
0.9852351.715762.249589e-08
0.9898631.7156182.293880e-08
0.9945131.7154782.338380e-08
0.9991841.7153382.383088e-08
11.7153142.390900e-08
1.003881.7151992.381613e-08
1.008591.7150612.370317e-08
1.013331.7149232.358969e-08
1.018091.7147862.347567e-08
1.022871.714652.336112e-08
1.027681.7145152.324603e-08
1.03251.714382.313040e-08
1.037351.7142462.301423e-08
1.042221.7141132.289751e-08
1.047121.713982.278024e-08
1.052041.7138482.266242e-08
1.056981.7137172.254405e-08
1.061941.7135862.242512e-08
1.066931.7134552.230563e-08
1.071941.7133262.218558e-08
1.076981.7131962.206497e-08
1.082041.7130682.194379e-08
1.087121.712942.182205e-08
1.092231.7128122.169973e-08
1.097361.7126852.157683e-08
1.102511.7125592.145336e-08
1.107691.7124332.132931e-08
1.112891.7123072.120468e-08
1.118121.7121822.107946e-08
1.123371.7120572.095365e-08
1.128651.7119332.082725e-08
1.133951.7118092.070026e-08
1.139271.7116862.057267e-08
1.144631.7115632.044448e-08
1.151.711442.031569e-08
1.15541.7113182.018630e-08
1.160831.7111962.005630e-08
1.166281.7110751.992568e-08
1.171761.7109531.979446e-08
1.177271.7108331.966261e-08
1.182791.7107121.953015e-08
1.188351.7105921.939707e-08
1.193931.7104721.926336e-08
1.199541.7103521.912902e-08
1.21.7103421.911800e-08
1.205171.7102332.035796e-08
1.210831.7101142.171449e-08
1.216521.7099952.307740e-08
1.222241.7098762.444671e-08
1.227981.7097582.582245e-08
1.233741.7096392.720465e-08
1.239541.7095212.859334e-08
1.245361.7094042.998856e-08
1.251211.7092863.139033e-08
1.257091.7091683.279868e-08
1.262991.7090513.421365e-08
1.268931.7089343.563527e-08
1.274891.7088173.706356e-08
1.280871.70873.849856e-08
1.286891.7085833.994030e-08
1.292931.7084664.138882e-08
1.299011.708354.284413e-08
1.305111.7082334.430629e-08
1.311241.7081164.577531e-08
1.31741.7084.725123e-08
1.323591.7078844.873408e-08
1.32981.7077675.022390e-08
1.336051.7076515.172072e-08
1.342321.7075345.322456e-08
1.348631.7074185.473547e-08
1.354961.7073025.625348e-08
1.361331.7071855.777861e-08
1.367721.7070695.931092e-08
1.374151.7069526.085041e-08
1.38061.7068366.239714e-08
1.387091.7067196.395114e-08
1.39361.7066026.551243e-08
1.41.7064886.704600e-08
1.400151.7064856.706238e-08
1.406721.7063696.779875e-08
1.413331.7062526.853858e-08
1.419971.7061346.928189e-08
1.426641.7060177.002868e-08
1.433341.70597.077899e-08
1.440071.7057827.153282e-08
1.446841.7056647.229018e-08
1.453631.7055467.305111e-08
1.460461.7054287.381561e-08
1.467321.705317.458370e-08
1.474211.7051917.535540e-08
1.481141.7050727.613073e-08
1.488091.7049537.690969e-08
1.495081.7048347.769232e-08
1.50211.7047147.847862e-08
1.509161.7045957.926861e-08
1.516251.7044748.006231e-08
1.523371.7043548.085975e-08
1.530531.7042338.166092e-08
1.537711.7041128.246587e-08
1.544941.7039918.327459e-08
1.552191.7038698.408711e-08
1.559481.7037478.490345e-08
1.566811.7036258.572362e-08
1.574171.7035028.654764e-08
1.581561.7033798.737553e-08
1.588991.7032558.820732e-08
1.596451.7031318.904301e-08
1.61.7030728.944000e-08
1.603951.7030069.252653e-08
1.611491.7028829.840891e-08
1.619061.7027561.043189e-07
1.626661.702631.102567e-07
1.63431.7025041.162224e-07
1.641981.7023771.222160e-07
1.649691.702251.282379e-07
1.657441.7021221.342880e-07
1.665221.7019941.403665e-07
1.673051.7018651.464736e-07
1.68091.7017361.526094e-07
1.68881.7016061.587740e-07
1.696731.7014751.649675e-07
1.70471.7013441.711902e-07
1.712711.7012121.774420e-07
1.720751.701081.837233e-07
1.728831.7009471.900340e-07
1.736951.7008131.963744e-07
1.745111.7006792.027445e-07
1.753311.7005442.091446e-07
1.761551.7004092.155748e-07
1.769821.7002722.220351e-07
1.778131.7001352.285258e-07
1.786481.6999982.350470e-07
1.794881.6998592.415988e-07
1.81.6997752.456000e-07
1.803311.699722.484710e-07
1.811781.699582.558264e-07
1.820291.6994392.632165e-07
1.828841.6992982.706412e-07
1.837431.6991562.781008e-07
1.846061.6990122.855955e-07
1.854731.6988682.931253e-07
1.863441.6987243.006906e-07
1.872191.6985783.082913e-07
1.880991.6984323.159278e-07
1.889821.6982843.236001e-07
1.89871.6981363.313085e-07
1.907621.6979873.390530e-07
1.916581.6978363.468340e-07
1.925581.6976853.546515e-07
1.934621.6975333.625057e-07
1.943711.697383.703968e-07
1.952841.6972263.783250e-07
1.962011.6970713.862904e-07
1.971231.6969153.942932e-07
1.980491.6967584.023336e-07
1.989791.69664.104118e-07
1.999131.6964414.185279e-07
21.6964264.192800e-07
2.008521.696284.444093e-07
2.017961.6961194.722219e-07
2.027441.6959565.001651e-07
2.036961.6957935.282395e-07
2.046531.6956285.564458e-07
2.056141.6954625.847846e-07
2.06581.6952956.132565e-07
2.07551.6951266.418622e-07
2.085251.6949576.706022e-07
2.095041.6947866.994772e-07
2.104881.6946147.284878e-07
2.114771.6944417.576347e-07
2.12471.6942667.869185e-07
2.134681.694098.163398e-07
2.144711.6939138.458994e-07
2.154781.6937348.755977e-07
2.16491.6935549.054356e-07
2.175071.6933739.354136e-07
2.185291.693199.655324e-07
2.195551.6930069.957927e-07
2.21.6929261.008900e-06
2.205871.692821.026019e-06
2.216231.6926331.056252e-06
2.226641.6924451.086627e-06
2.23711.6922541.117145e-06
2.24761.6920631.147807e-06
2.258161.691871.178612e-06
2.268771.6916751.209562e-06
2.279421.6914791.240658e-06
2.290131.6912811.271899e-06
2.300891.6910811.303287e-06
2.311691.690881.334823e-06
2.322551.6906771.366507e-06
2.333461.6904731.398340e-06
2.344421.6902671.430322e-06
2.355431.6900591.462454e-06
2.36651.6898491.494737e-06
2.377611.6896381.527172e-06
2.388781.6894241.559760e-06
2.41.6892091.592500e-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
—