Optical constants

Refractive index of S-LAH93 (OHARA)

S-LAH93: 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.

At one wavelength

Range 0.365–2.325 µm
Refractive index n
1.90524
Extinction coefficient k
1.15387e-08
Permittivity ε1
3.62996
Permittivity ε2
4.39681e-08
Absorption coefficient α
0.00246766 cm⁻¹
Penetration depth δ = λ/(2πk)
8.10484e+09 nm
Abbe number Vd
35.037
Chromatic dispersion dn/dλ
-0.130916 µm⁻¹
Group index ng
1.98217
Group velocity dispersion
256.133 fs²/mm
Dispersion parameter D
-1397.34 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-LAH93 (OHARA): S-LAH93
ohara_s_lah93 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-LAH93", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_lah93.range_nm)  # (365, 2325) nm
eps = ohara_s_lah93.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=2.17884378λ2λ2−0.0115760879+0.325508683λ2λ2−0.0495982503+1.70608646λ2λ2−128.91358

Valid from 0.365 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C22.17884378
C30.0115760879
C40.325508683
C50.0495982503
C61.70608646
C7128.91358

Comments and conditions

Recommended

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 2.48e-06 9.67e-09 -3.51e-12 8.57e-07 9.77e-10 0.258
nd
1.905250
Vd
35.036826
density
value: 4830
thermal expansion
value: 7e-06, temperature range: 243 343
resistance
acid: 4.0; climatic: 1.0; phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 3.46e-06 K⁻¹ at 633 nm, dn/dT = 2.01e-06 K⁻¹ at 1310 nm, dn/dT = 1.90e-06 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 422 wavelengths, the same grid as the API and the library
S-LAH93 (OHARA), S-LAH93: n and k versus wavelength
λ (µm)nk
0.3651.9755973.249400e-06
0.3666981.9743462.879871e-06
0.3684031.9731162.508623e-06
0.371.9719852.161100e-06
0.3701171.9719032.151062e-06
0.3718381.970712.003286e-06
0.3735681.9695341.854822e-06
0.3753061.9683761.705667e-06
0.3770511.9672351.555819e-06
0.3788051.9661121.405273e-06
0.381.9653581.302700e-06
0.3805671.9650041.279460e-06
0.3823371.9639131.206907e-06
0.3841161.9628381.134017e-06
0.3859021.9617781.060787e-06
0.3876971.9607339.872175e-07
0.38951.9597039.133054e-07
0.391.9594218.928300e-07
0.3913121.9586888.585648e-07
0.3931321.9576878.110342e-07
0.3949611.95677.632824e-07
0.3967981.9557277.153086e-07
0.3986441.9547686.671116e-07
0.41.9540746.316900e-07
0.4004981.9538216.246396e-07
0.4023611.9528885.982561e-07
0.4042321.9519675.717499e-07
0.4061121.9510595.451204e-07
0.4080011.9501635.183670e-07
0.4098991.9492794.914892e-07
0.4118061.9484074.644863e-07
0.4137211.9475464.373579e-07
0.4156451.9466974.101033e-07
0.4175791.9458593.827219e-07
0.4195211.9450323.552131e-07
0.421.944833.484300e-07
0.4214721.9442153.392776e-07
0.4234331.943413.270917e-07
0.4254021.9426143.148491e-07
0.4273811.9418293.025496e-07
0.4293691.9410542.901929e-07
0.4313661.9402892.777787e-07
0.4333721.9395342.653067e-07
0.4353881.9387882.527768e-07
0.4374131.9380512.401885e-07
0.4394481.9373242.275417e-07
0.441.9371292.241100e-07
0.4414921.9366062.188241e-07
0.4435451.9358962.115484e-07
0.4456091.9351962.042390e-07
0.4476811.9345041.968955e-07
0.4497641.933821.895178e-07
0.4518561.9331451.821059e-07
0.4539571.9324791.746595e-07
0.4560691.931821.671784e-07
0.458191.9311691.596625e-07
0.461.9306221.532500e-07
0.4603211.9305261.524047e-07
0.4624621.9298911.467715e-07
0.4646131.9292631.411120e-07
0.4667751.9286431.354262e-07
0.4689461.928031.297140e-07
0.4711271.9274241.239752e-07
0.4733181.9268261.182097e-07
0.475521.9262341.124174e-07
0.4777321.925651.065982e-07
0.4799541.9250721.007519e-07
0.481.925061.006300e-07
0.4821861.9245019.664551e-08
0.4844291.9239379.255766e-08
0.4866821.9233798.845080e-08
0.4889461.9228278.432483e-08
0.491221.9222828.017967e-08
0.4935051.9217437.601523e-08
0.49581.921217.183142e-08
0.4981071.9206836.762815e-08
0.51.9202576.417700e-08
0.5004231.9201636.378211e-08
0.5027511.9196486.161113e-08
0.5050891.9191385.943005e-08
0.5074391.9186355.723882e-08
0.5097991.9181375.503740e-08
0.512171.9176455.282574e-08
0.5145531.9171585.060379e-08
0.5169461.9166764.837151e-08
0.519351.91624.612885e-08
0.5217661.9157294.387575e-08
0.5241931.9152634.161218e-08
0.5266311.9148033.933807e-08
0.5290811.9143473.705339e-08
0.5315421.9138963.475808e-08
0.5340141.9134513.245210e-08
0.5364981.9130093.013539e-08
0.5389931.9125732.780790e-08
0.54151.9121422.546959e-08
0.5440191.9117152.312040e-08
0.5465491.9112922.076028e-08
0.5490921.9108741.838919e-08
0.551.9107261.754200e-08
0.5516461.9104611.727925e-08
0.5542121.9100511.686957e-08
0.5567891.9096471.645799e-08
0.5593791.9092461.604450e-08
0.5619811.908851.562908e-08
0.5645951.9084571.521173e-08
0.5672211.9080691.479244e-08
0.5698591.9076851.437120e-08
0.572511.9073051.394800e-08
0.5751731.9069291.352283e-08
0.5778481.9065561.309568e-08
0.5805361.9061881.266655e-08
0.5832361.9058231.223542e-08
0.5859491.9054621.180228e-08
0.5886751.9051051.136713e-08
0.5914131.9047511.092996e-08
0.5941641.9044011.049075e-08
0.5969271.9040541.004950e-08
0.5997041.9037119.606198e-09
0.61.9036759.558900e-09
0.6024931.9033719.340308e-09
0.6052961.9030359.094605e-09
0.6081111.9027028.847759e-09
0.610941.9023728.599766e-09
0.6137811.9020468.350618e-09
0.6166361.9017238.100312e-09
0.6195041.9014037.848842e-09
0.6223861.9010867.596202e-09
0.6252811.9007727.342386e-09
0.6281891.9004627.087391e-09
0.6311111.9001546.831209e-09
0.6340471.8998496.573835e-09
0.6369961.8995476.315265e-09
0.6399591.8992496.055492e-09
0.6429351.8989535.794510e-09
0.6459261.898665.532315e-09
0.648931.8983695.268900e-09
0.651.8982675.175100e-09
0.6519491.8980825.190614e-09
0.6549811.8977975.214758e-09
0.6580281.8975155.239015e-09
0.6610881.8972355.263384e-09
0.6641631.8969585.287867e-09
0.6672521.8966845.312464e-09
0.6703561.8964125.337174e-09
0.6734741.8961435.362000e-09
0.6766071.8958775.386942e-09
0.6797541.8956125.411999e-09
0.6829151.8953515.437173e-09
0.6860921.8950915.462464e-09
0.6892831.8948345.487873e-09
0.6924891.8945795.513400e-09
0.695711.8943275.539045e-09
0.6989461.8940775.564810e-09
0.71.8939965.573200e-09
0.7021971.8938295.590695e-09
0.7054631.8935835.616700e-09
0.7087451.893345.642826e-09
0.7120411.8930995.669073e-09
0.7153531.892865.695443e-09
0.7186811.8926235.721935e-09
0.7220231.8923885.748551e-09
0.7253821.8921555.775290e-09
0.7287561.8919245.802154e-09
0.7321461.8916955.829143e-09
0.7355511.8914685.856257e-09
0.7389721.8912435.883497e-09
0.7424091.891025.910864e-09
0.7458631.8907995.938358e-09
0.7493321.890585.965981e-09
0.7528171.8903635.993731e-09
0.7563191.8901476.021611e-09
0.7598371.8899346.049621e-09
0.7633711.8897226.077760e-09
0.7669221.8895116.106031e-09
0.7704891.8893036.134433e-09
0.7740731.8890966.162967e-09
0.7776731.8888916.191634e-09
0.781291.8886886.220434e-09
0.7849241.8884866.249369e-09
0.7885751.8882866.278437e-09
0.7922431.8880886.307641e-09
0.7959281.8878916.336981e-09
0.799631.8876966.366458e-09
0.81.8876766.369400e-09
0.803351.8875026.396071e-09
0.8070861.887316.425822e-09
0.810841.8871196.455712e-09
0.8146121.886936.485740e-09
0.8184011.8867426.515909e-09
0.8222081.8865556.546217e-09
0.8260321.886376.576667e-09
0.8298741.8861876.607258e-09
0.8337341.8860056.637991e-09
0.8376121.8858246.668868e-09
0.8415081.8856446.699888e-09
0.8454221.8854666.731052e-09
0.8493551.8852896.762361e-09
0.8533051.8851146.793816e-09
0.8572741.884946.825418e-09
0.8612621.8847676.857166e-09
0.8652681.8845956.889062e-09
0.8692921.8844246.921106e-09
0.8733361.8842556.953299e-09
0.8773981.8840876.985642e-09
0.8814791.883927.018136e-09
0.8855791.8837547.050780e-09
0.8896981.8835897.083577e-09
0.8938361.8834267.116526e-09
0.8979941.8832637.149628e-09
0.91.8831857.165600e-09
0.9021711.8831027.182882e-09
0.9063671.8829417.216289e-09
0.9105831.8827827.249851e-09
0.9148181.8826247.283569e-09
0.9190731.8824667.317444e-09
0.9233481.882317.351476e-09
0.9276431.8821557.385667e-09
0.9319581.8820017.420017e-09
0.9362931.8818477.454527e-09
0.9406481.8816957.489197e-09
0.9450231.8815437.524029e-09
0.9494191.8813937.559022e-09
0.9538351.8812437.594178e-09
0.9582711.8810947.629498e-09
0.9627291.8809467.664982e-09
0.9672071.8807997.700631e-09
0.9717051.8806537.736446e-09
0.9762251.8805077.772428e-09
0.9807661.8803637.808577e-09
0.9853281.8802197.844894e-09
0.9899111.8800767.881380e-09
0.9945151.8799347.918035e-09
0.9991411.8797927.954861e-09
11.8797667.961700e-09
1.003791.8796517.991863e-09
1.008461.8795118.029037e-09
1.013151.8793728.066384e-09
1.017861.8792338.103905e-09
1.022591.8790958.141600e-09
1.027351.8789588.179471e-09
1.032131.8788218.217518e-09
1.036931.8786858.255741e-09
1.041751.878558.294143e-09
1.04661.8784158.332723e-09
1.051471.8782818.371483e-09
1.056361.8781478.410423e-09
1.061271.8780148.449544e-09
1.066211.8778828.488847e-09
1.071171.877758.528333e-09
1.076151.8776188.568002e-09
1.081151.8774878.607856e-09
1.086181.8773578.647895e-09
1.091241.8772278.688121e-09
1.096311.8770988.728534e-09
1.101411.8769698.769134e-09
1.106531.8768418.809924e-09
1.111681.8767138.850903e-09
1.116851.8765858.892073e-09
1.122051.8764588.933434e-09
1.127271.8763328.974988e-09
1.132511.8762059.016735e-09
1.137781.8760799.058676e-09
1.143071.8759549.100813e-09
1.148391.8758299.143145e-09
1.153731.8757049.185674e-09
1.159091.875589.228401e-09
1.164481.8754569.271327e-09
1.16991.8753329.314452e-09
1.175341.8752089.357778e-09
1.180811.8750859.401306e-09
1.18631.8749629.445036e-09
1.191821.874849.488969e-09
1.197361.8747189.533107e-09
1.21.874669.554100e-09
1.202931.8745959.577443e-09
1.208531.8744749.621978e-09
1.214151.8743529.666720e-09
1.21981.8742319.711671e-09
1.225471.8741099.756831e-09
1.231171.8739889.802200e-09
1.23691.8738689.847781e-09
1.242651.8737479.893574e-09
1.248431.8736279.939579e-09
1.254241.8735069.985799e-09
1.260071.8733861.003223e-08
1.265931.8732661.007888e-08
1.271821.8731461.012575e-08
1.277741.8730261.017284e-08
1.283681.8729061.022014e-08
1.289651.8727871.026767e-08
1.295651.8726671.031541e-08
1.301671.8725481.036338e-08
1.307731.8724281.041157e-08
1.313811.8723091.045999e-08
1.319921.8721891.050863e-08
1.326061.872071.055749e-08
1.332231.871951.060659e-08
1.338431.8718311.065591e-08
1.344651.8717111.070546e-08
1.350911.8715921.075524e-08
1.357191.8714721.080526e-08
1.36351.8713531.085550e-08
1.369851.8712331.090598e-08
1.376221.8711141.095670e-08
1.382621.8709941.100765e-08
1.389051.8708741.105884e-08
1.395511.8707541.111026e-08
1.41.8706711.114600e-08
1.4021.8706341.128951e-08
1.408521.8705131.175721e-08
1.415071.8703931.222708e-08
1.421661.8702721.269914e-08
1.428271.8701521.317340e-08
1.434911.8700311.364986e-08
1.441591.869911.412854e-08
1.448291.8697881.460944e-08
1.455031.8696671.509258e-08
1.46181.8695451.557797e-08
1.468591.8694231.606561e-08
1.475431.8693011.655553e-08
1.482291.8691781.704772e-08
1.489181.8690561.754220e-08
1.496111.8689331.803898e-08
1.503071.8688091.853807e-08
1.510061.8686861.903949e-08
1.517081.8685621.954323e-08
1.524141.8684372.004932e-08
1.531231.8683132.055777e-08
1.538351.8681882.106857e-08
1.545511.8680632.158176e-08
1.55271.8679372.209733e-08
1.559921.8678112.261530e-08
1.567171.8676842.313568e-08
1.574461.8675572.365847e-08
1.581791.867432.418370e-08
1.589141.8673022.471138e-08
1.596541.8671742.524151e-08
1.61.8671142.549000e-08
1.603961.8670452.697804e-08
1.611421.8669162.978059e-08
1.618921.8667873.259618e-08
1.626451.8666563.542487e-08
1.634011.8665263.826672e-08
1.641611.8663954.112178e-08
1.649251.8662634.399013e-08
1.656921.8661314.687181e-08
1.664631.8659984.976690e-08
1.672371.8658645.267546e-08
1.680151.865735.559754e-08
1.687961.8655965.853322e-08
1.695811.8654616.148255e-08
1.70371.8653256.444560e-08
1.711631.8651886.742243e-08
1.719591.8650517.041311e-08
1.727591.8649147.341769e-08
1.735621.8647757.643626e-08
1.743691.8646367.946886e-08
1.751811.8644968.251557e-08
1.759951.8643558.557645e-08
1.768141.8642148.865157e-08
1.776361.8640729.174099e-08
1.784631.8639299.484478e-08
1.792931.8637869.796301e-08
1.81.8636631.006200e-07
1.801271.8636411.021217e-07
1.809641.8634961.120567e-07
1.818061.863351.220379e-07
1.826521.8632031.320655e-07
1.835011.8630561.421397e-07
1.843551.8629071.522609e-07
1.852121.8627581.624290e-07
1.860741.8626071.726445e-07
1.869391.8624561.829075e-07
1.878091.8623041.932182e-07
1.886821.8621512.035769e-07
1.89561.8619972.139838e-07
1.904421.8618422.244391e-07
1.913281.8616862.349430e-07
1.922181.8615292.454958e-07
1.931121.8613712.560976e-07
1.94011.8612122.667488e-07
1.949121.8610522.774495e-07
1.958191.860892.882000e-07
1.96731.8607282.990004e-07
1.976451.8605653.098512e-07
1.985641.86043.207523e-07
1.994881.8602353.317042e-07
21.8601433.377800e-07
2.004161.8600683.486538e-07
2.013481.85993.730494e-07
2.022841.8597313.975586e-07
2.032251.8595614.221817e-07
2.04171.8593894.469193e-07
2.05121.8592164.717720e-07
2.060741.8590424.967403e-07
2.070331.8588675.218248e-07
2.079961.8586915.470259e-07
2.089631.8585135.723442e-07
2.099351.8583335.977803e-07
2.109121.8581536.233347e-07
2.118931.8579716.490080e-07
2.128781.8577886.748007e-07
2.138681.8576037.007133e-07
2.148631.8574177.267465e-07
2.158621.8572297.529008e-07
2.168671.857047.791767e-07
2.178751.856858.055749e-07
2.188891.8566588.320958e-07
2.199071.8564648.587401e-07
2.21.8564468.611800e-07
2.20931.8562699.759293e-07
2.219571.8560721.102774e-06
2.22991.8558741.230209e-06
2.240271.8556741.358237e-06
2.250691.8554731.486860e-06
2.261161.855271.616081e-06
2.271671.8550651.745904e-06
2.282241.8548581.876330e-06
2.292861.854652.007363e-06
2.303521.854442.139005e-06
2.314241.8542292.271260e-06
2.3251.8540152.404130e-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
—