Optical constants

Refractive index of S-LAH59 (OHARA)

S-LAH59: n,k 0.29–2.4 µm

Data
formula 2 + tabulated k
Range
0.29–2.4 µm
Temperature
298 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.29–2.4 µm
Refractive index n
1.816
Extinction coefficient k
1.76522e-08
Permittivity ε1
3.29784
Permittivity ε2
6.41128e-08
Absorption coefficient α
0.00377509 cm⁻¹
Penetration depth δ = λ/(2πk)
5.29788e+09 nm
Abbe number Vd
46.621
Chromatic dispersion dn/dλ
-0.0898117 µm⁻¹
Group index ng
1.86877
Group velocity dispersion
164.537 fs²/mm
Dispersion parameter D
-897.637 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-LAH59 (OHARA): S-LAH59
ohara_s_lah59 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-LAH59", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_lah59.range_nm)  # (290, 2400) nm
eps = ohara_s_lah59.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=1.51372967λ2λ2−0.00705246901+0.702462343λ2λ2−0.0249488689+1.33600982λ2λ2−100.085908

Valid from 0.29 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.51372967
C30.00705246901
C40.702462343
C50.0249488689
C61.33600982
C7100.085908

Comments and conditions

Recommended

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 3.68e-06 1.12e-08 -3.17e-11 5.44e-07 6.16e-10 0.236
nd
1.816000
Vd
46.620561
glass code
816466
density
value: 5070
thermal expansion
value: 6.3e-06, temperature range: 243 343; value: 7.6e-06, temperature range: 293 573
dPgF
-0.0092
resistance
acid: 3.0; climatic: 1.0; phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 3.31e-06 K⁻¹ at 633 nm, dn/dT = 2.47e-06 K⁻¹ at 1310 nm, dn/dT = 2.40e-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 429 wavelengths, the same grid as the API and the library
S-LAH59 (OHARA), S-LAH59: n and k versus wavelength
λ (µm)nk
0.291.9104749.028000e-06
0.291541.9088978.672008e-06
0.2930881.9073468.314126e-06
0.2946451.9058217.954344e-06
0.296211.904327.592650e-06
0.2977831.9028447.229036e-06
0.2993641.9013926.863491e-06
0.31.9008176.716500e-06
0.3009541.8999636.642448e-06
0.3025521.8985576.518375e-06
0.3041591.8971746.393643e-06
0.3057741.8958126.268249e-06
0.3073981.8944726.142189e-06
0.3090311.8931526.015459e-06
0.311.8923825.940200e-06
0.3106721.8918545.758936e-06
0.3123221.8905755.313703e-06
0.313981.8893164.866105e-06
0.3156481.8880774.416129e-06
0.3173241.8868563.963765e-06
0.3190091.8856543.508997e-06
0.321.8849583.241600e-06
0.3207031.884473.169494e-06
0.3224061.8833042.994870e-06
0.3241191.8821552.819320e-06
0.325841.8810242.642837e-06
0.327571.8799092.465417e-06
0.329311.8788112.287054e-06
0.331.8783812.216300e-06
0.3310591.8777292.137687e-06
0.3328171.8766622.007145e-06
0.3345841.8756121.875910e-06
0.3363611.8745761.743978e-06
0.3381481.8735561.611345e-06
0.3399431.872551.478008e-06
0.341.8725191.473800e-06
0.3417491.8715591.382890e-06
0.3435641.8705821.288535e-06
0.3453881.8696191.193678e-06
0.3472221.8686691.098318e-06
0.3490661.8677331.002452e-06
0.351.8672669.539100e-07
0.350921.866819.216852e-07
0.3527841.86598.564140e-07
0.3546571.8650037.907962e-07
0.3565411.8641187.248298e-07
0.3584341.8632456.585132e-07
0.361.8625366.036700e-07
0.3603381.8623855.959960e-07
0.3622511.8615365.525031e-07
0.3641751.8606995.087792e-07
0.3661091.8598734.648231e-07
0.3680531.8590594.206336e-07
0.371.8582593.763900e-07
0.3700081.8582553.762886e-07
0.3719731.8574633.512292e-07
0.3739481.8566813.260367e-07
0.3759341.855913.007104e-07
0.3779311.8551492.752496e-07
0.3799381.8543982.496536e-07
0.381.8543752.488600e-07
0.3819551.8536572.358130e-07
0.3839841.8529262.222793e-07
0.3860231.8522052.086737e-07
0.3880731.8514931.949959e-07
0.391.8508351.821400e-07
0.3901341.850791.815291e-07
0.3922061.8500971.720897e-07
0.3942891.8494121.626002e-07
0.3963831.8487371.530602e-07
0.3984881.848071.434696e-07
0.41.8475991.365800e-07
0.4006041.8474121.352179e-07
0.4027311.8467631.304206e-07
0.404871.8461221.255978e-07
0.407021.8454891.207494e-07
0.4091821.8448641.158752e-07
0.4113551.8442471.109752e-07
0.413541.8436381.060491e-07
0.4157361.8430361.010968e-07
0.4179441.8424429.611829e-08
0.421.8418999.148100e-08
0.4201631.8418569.134103e-08
0.4223941.8412778.942565e-08
0.4246381.8407058.750010e-08
0.4268931.8401418.556432e-08
0.429161.8395838.361826e-08
0.4314391.8390328.166186e-08
0.433731.8384887.969508e-08
0.4360331.8379517.771785e-08
0.4383491.8374217.573012e-08
0.441.8370487.431300e-08
0.4406771.8368977.379608e-08
0.4430171.8363797.200928e-08
0.445371.8358687.021298e-08
0.4477351.8353636.840715e-08
0.4501131.8348646.659173e-08
0.4525031.8343716.476666e-08
0.4549061.8338846.293190e-08
0.4573221.8334036.108740e-08
0.4597511.8329285.923311e-08
0.461.832885.904300e-08
0.4621931.8324585.720200e-08
0.4646471.8319945.514104e-08
0.4671151.8315365.306914e-08
0.4695951.8310835.098623e-08
0.4720891.8306354.889226e-08
0.4745961.8301934.678718e-08
0.4771171.8297564.467091e-08
0.4796511.8293244.254340e-08
0.481.8292654.225000e-08
0.4821981.8288974.023844e-08
0.4847591.8284753.789469e-08
0.4873331.8280583.553848e-08
0.4899211.8276463.316976e-08
0.4925231.8272393.078847e-08
0.4951381.8268362.839452e-08
0.4977681.8264382.598787e-08
0.51.8261062.394500e-08
0.5004111.8260452.385617e-08
0.5030691.8256562.328241e-08
0.5057411.8252722.270561e-08
0.5084261.8248922.212574e-08
0.5111261.8245162.154280e-08
0.5138411.8241452.095675e-08
0.516571.8237782.036760e-08
0.5193131.8234141.977532e-08
0.5220711.8230561.917989e-08
0.5248431.8227011.858130e-08
0.5276311.822351.797953e-08
0.5304331.8220031.737456e-08
0.533251.821661.676639e-08
0.5360821.821321.615498e-08
0.5389291.8209851.554032e-08
0.5417911.8206531.492240e-08
0.5446681.8203251.430120e-08
0.547561.821.367670e-08
0.551.819731.315000e-08
0.5504681.8196791.320608e-08
0.5533921.8193621.355612e-08
0.5563311.8190481.390802e-08
0.5592851.8187371.426179e-08
0.5622551.818431.461744e-08
0.5652411.8181261.497497e-08
0.5682431.8178251.533441e-08
0.5712611.8175281.569575e-08
0.5742941.8172331.605902e-08
0.5773441.8169421.642421e-08
0.580411.8166541.679134e-08
0.5834931.8163691.716042e-08
0.5865911.8160871.753146e-08
0.5897071.8158081.790447e-08
0.5928381.8155321.827947e-08
0.5959871.8152591.865645e-08
0.5991521.8149891.903544e-08
0.61.8149171.913700e-08
0.6023341.8147211.921145e-08
0.6055321.8144561.931349e-08
0.6087481.8141941.941607e-08
0.6119811.8139351.951920e-08
0.6152311.8136781.962287e-08
0.6184981.8134241.972710e-08
0.6217831.8131731.983188e-08
0.6250851.8129241.993721e-08
0.6284051.8126772.004311e-08
0.6317421.8124332.014957e-08
0.6350971.8121922.025659e-08
0.638471.8119532.036418e-08
0.641861.8117162.047235e-08
0.6452691.8114822.058108e-08
0.6486961.811252.069040e-08
0.651.8111622.073200e-08
0.6521411.811022.080025e-08
0.6556041.8107922.091066e-08
0.6590861.8105672.102166e-08
0.6625861.8103442.113324e-08
0.6661051.8101232.124542e-08
0.6696421.8099042.135819e-08
0.6731981.8096872.147157e-08
0.6767741.8094722.158554e-08
0.6803681.809262.170012e-08
0.6839811.8090492.181531e-08
0.6876131.808842.193111e-08
0.6912651.8086332.204753e-08
0.6949361.8084292.216456e-08
0.6986271.8082262.228222e-08
0.71.8081512.232600e-08
0.7023371.8080242.240054e-08
0.7060671.8078252.251953e-08
0.7098161.8076282.263914e-08
0.7135861.8074322.275939e-08
0.7173751.8072382.288028e-08
0.7211851.8070462.300181e-08
0.7250151.8068552.312398e-08
0.7288651.8066672.324681e-08
0.7327361.8064792.337029e-08
0.7366281.8062942.349442e-08
0.740541.806112.361921e-08
0.7444721.8059272.374466e-08
0.7484261.8057472.387079e-08
0.7524011.8055672.399758e-08
0.7563961.805392.412504e-08
0.7604131.8052132.425318e-08
0.7644511.8050382.438200e-08
0.7685111.8048652.451151e-08
0.7725931.8046932.464170e-08
0.7766951.8045232.477259e-08
0.780821.8043532.490417e-08
0.7849671.8041852.503644e-08
0.7891361.8040192.516943e-08
0.7933261.8038542.530311e-08
0.797541.803692.543751e-08
0.81.8035952.551600e-08
0.8017751.8035272.570031e-08
0.8060331.8033662.614246e-08
0.8103131.8032052.658695e-08
0.8146171.8030462.703380e-08
0.8189431.8028892.748303e-08
0.8232921.8027322.793464e-08
0.8276641.8025762.838866e-08
0.832061.8024222.884508e-08
0.8364781.8022692.930392e-08
0.8409211.8021172.976521e-08
0.8453871.8019653.022894e-08
0.8498761.8018153.069513e-08
0.8543891.8016663.116380e-08
0.8589271.8015183.163496e-08
0.8634881.8013713.210863e-08
0.8680741.8012253.258480e-08
0.8726841.801083.306351e-08
0.8773191.8009363.354476e-08
0.8819781.8007923.402856e-08
0.8866621.800653.451494e-08
0.891371.8005083.500389e-08
0.8961041.8003683.549545e-08
0.91.8002533.590000e-08
0.9008631.8002283.593442e-08
0.9056471.8000893.612526e-08
0.9104571.7999513.631712e-08
0.9152921.7998133.650999e-08
0.9201531.7996773.670389e-08
0.9250391.7995413.689882e-08
0.9299521.7994063.709478e-08
0.934891.7992713.729178e-08
0.9398551.7991383.748983e-08
0.9448471.7990053.768893e-08
0.9498641.7988723.788909e-08
0.9549091.7987413.809031e-08
0.959981.7986093.829260e-08
0.9650781.7984793.849596e-08
0.9702031.7983493.870041e-08
0.9753561.798223.890594e-08
0.9805351.7980923.911256e-08
0.9857431.7979633.932028e-08
0.9909781.7978363.952910e-08
0.996241.7977093.973903e-08
11.7976193.988900e-08
1.001531.7975833.995007e-08
1.006851.7974574.016220e-08
1.01221.7973314.037547e-08
1.017571.7972064.058987e-08
1.022981.7970824.080541e-08
1.028411.7969574.102209e-08
1.033871.7968344.123992e-08
1.039361.7967114.145891e-08
1.044881.7965884.167906e-08
1.050431.7964654.190039e-08
1.056011.7963434.212288e-08
1.061621.7962214.234656e-08
1.067251.79614.257143e-08
1.072921.7959794.279749e-08
1.078621.7958584.302475e-08
1.084351.7957374.325322e-08
1.090111.7956174.348290e-08
1.09591.7954974.371380e-08
1.101721.7953774.394593e-08
1.107571.7952584.417929e-08
1.113451.7951384.441389e-08
1.119361.7950194.464973e-08
1.125311.79494.488683e-08
1.131281.7947824.512519e-08
1.137291.7946634.536481e-08
1.143331.7945454.560571e-08
1.14941.7944264.584788e-08
1.155511.7943084.609134e-08
1.161641.794194.633610e-08
1.167811.7940724.658215e-08
1.174011.7939544.682951e-08
1.180251.7938364.707818e-08
1.186521.7937184.732818e-08
1.192821.7936014.757950e-08
1.199151.7934834.783216e-08
1.21.7934674.786600e-08
1.205521.7933654.808618e-08
1.211921.7932474.834156e-08
1.218361.793134.859830e-08
1.224831.7930124.885640e-08
1.231331.7928944.911587e-08
1.237871.7927764.937672e-08
1.244451.7926584.963895e-08
1.251051.792544.990258e-08
1.25771.7924215.016760e-08
1.264381.7923035.043403e-08
1.271091.7921845.070188e-08
1.277841.7920665.097115e-08
1.284631.7919475.124185e-08
1.291451.7918285.151399e-08
1.298311.7917095.178758e-08
1.30521.7915895.206261e-08
1.312141.7914695.233911e-08
1.31911.7913495.261707e-08
1.326111.7912295.289652e-08
1.333151.7911095.317744e-08
1.340231.7909885.345986e-08
1.347351.7908675.374378e-08
1.35451.7907465.402920e-08
1.36171.7906245.431614e-08
1.368931.7905025.460461e-08
1.37621.7903795.489460e-08
1.383511.7902565.518614e-08
1.390861.7901335.547923e-08
1.398241.790015.577387e-08
1.41.789985.584400e-08
1.405671.7898865.643284e-08
1.413131.7897615.720846e-08
1.420641.7896365.798819e-08
1.428181.7895115.877207e-08
1.435771.7893855.956010e-08
1.443391.7892596.035233e-08
1.451061.7891326.114876e-08
1.458761.7890046.194941e-08
1.466511.7888766.275433e-08
1.47431.7887486.356351e-08
1.482131.7886196.437699e-08
1.491.7884896.519480e-08
1.497911.7883586.601694e-08
1.505871.7882276.684346e-08
1.513861.7880966.767436e-08
1.52191.7879646.850967e-08
1.529981.7878316.934942e-08
1.538111.7876977.019363e-08
1.546281.7875637.104232e-08
1.554491.7874277.189552e-08
1.562751.7872927.275326e-08
1.571041.7871557.361554e-08
1.579391.7870187.448241e-08
1.587781.7868797.535388e-08
1.596211.786747.622997e-08
1.61.7866787.662400e-08
1.604681.78667.854036e-08
1.613211.786468.202650e-08
1.621771.7863188.553116e-08
1.630391.7861768.905444e-08
1.639041.7860329.259642e-08
1.647751.7858889.615721e-08
1.65651.7857439.973692e-08
1.66531.7855961.033356e-07
1.674141.7854491.069535e-07
1.683031.7853011.105905e-07
1.691971.7851521.142469e-07
1.700951.7850021.179226e-07
1.709991.784851.216179e-07
1.719071.7846981.253328e-07
1.72821.7845441.290675e-07
1.737381.784391.328220e-07
1.74661.7842341.365964e-07
1.755881.7840771.403908e-07
1.76521.7839191.442054e-07
1.774581.7837591.480403e-07
1.7841.7835991.518956e-07
1.793481.7834371.557713e-07
1.81.7833251.584400e-07
1.8031.7832741.625989e-07
1.812581.7831091.758696e-07
1.82221.7829441.892107e-07
1.831881.7827772.026226e-07
1.841611.7826082.161058e-07
1.851391.7824382.296605e-07
1.861221.7822672.432873e-07
1.87111.7820952.569864e-07
1.881041.7819212.707583e-07
1.891031.7817452.846033e-07
1.901071.7815682.985219e-07
1.911171.7813893.125143e-07
1.921321.7812093.265811e-07
1.931521.7810283.407226e-07
1.941781.7808443.549392e-07
1.952091.7806593.692312e-07
1.962461.7804733.835992e-07
1.972881.7802853.980435e-07
1.983361.7800954.125645e-07
1.993891.7799034.271626e-07
21.7797914.356300e-07
2.004481.7797094.509689e-07
2.015121.7795144.874215e-07
2.025831.7793175.240676e-07
2.036581.7791185.609083e-07
2.04741.7789185.979446e-07
2.058271.7787156.351777e-07
2.06921.778516.726085e-07
2.080191.7783047.102380e-07
2.091241.7780957.480674e-07
2.102351.7778857.860978e-07
2.113511.7776728.243300e-07
2.124731.7774578.627653e-07
2.136021.7772419.014047e-07
2.147361.7770229.402494e-07
2.158771.7768019.793003e-07
2.170231.7765771.018559e-06
2.181761.7763521.058025e-06
2.193341.7761241.097702e-06
2.21.7759931.120500e-06
2.204991.7758941.223324e-06
2.21671.7756621.464602e-06
2.228471.7754271.707160e-06
2.240311.775191.951007e-06
2.25221.774952.196149e-06
2.264171.7747082.442593e-06
2.276191.7744632.690345e-06
2.288281.7742162.939413e-06
2.300431.7739663.189804e-06
2.312651.7737133.441525e-06
2.324931.7734583.694582e-06
2.337281.77323.948984e-06
2.349691.772944.204736e-06
2.362171.7726774.461847e-06
2.374711.772414.720323e-06
2.387321.7721414.980171e-06
2.41.7718695.241400e-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
—