Optical constants

Refractive index of BSM51Y (OHARA)

BSM51Y: 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
1.60311
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.56995
Permittivity ε2
1.49996e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
60.651
Chromatic dispersion dn/dλ
-0.0514368 µm⁻¹
Group index ng
1.63333
Group velocity dispersion
89.0223 fs²/mm
Dispersion parameter D
-485.664 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

# BSM51Y (OHARA): BSM51Y
ohara_bsm51y = ls.fetch_refractiveindex("specs", "OHARA-optical", "BSM51Y", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_bsm51y.range_nm)  # (290, 2400) nm
eps = ohara_bsm51y.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=1.22393171λ2λ2−0.00649521083+0.306482383λ2λ2−0.0208194161+0.823950901λ2λ2−79.5168951

Valid from 0.29 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.22393171
C30.00649521083
C40.306482383
C50.0208194161
C60.823950901
C779.5168951

Comments and conditions

Improved XMT at 365

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 2.03e-06 1.19e-08 -4.08e-11 4.45e-07 5.05e-10 0.166
nd
1.603109
Vd
60.651225
glass code
603606
density
value: 3360
thermal expansion
value: 6.3e-06, temperature range: 243 343; value: 7.7e-06, temperature range: 293 573
dPgF
-0.0026
resistance
acid: 51.2; climatic: 3.0; phosphate: 2.2

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 1.57e-06 K⁻¹ at 633 nm, dn/dT = 1.10e-06 K⁻¹ at 1310 nm, dn/dT = 1.06e-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
BSM51Y (OHARA), BSM51Y: n and k versus wavelength
λ (µm)nk
0.291.6531228.092200e-06
0.291541.652347.253545e-06
0.2930881.6515696.410435e-06
0.2946451.650815.562849e-06
0.296211.6500614.710761e-06
0.2977831.6493233.854148e-06
0.2993641.6485952.992986e-06
0.31.6483072.646700e-06
0.3009541.6478782.481548e-06
0.3025521.6471712.204838e-06
0.3041591.6464741.926658e-06
0.3057741.6457861.647002e-06
0.3073981.6451081.365859e-06
0.3090311.644441.083224e-06
0.311.6440499.153800e-07
0.3106721.6437818.757600e-07
0.3123221.643137.784425e-07
0.313981.6424896.806082e-07
0.3156481.6418575.822543e-07
0.3173241.6412334.833781e-07
0.3190091.6406183.839767e-07
0.321.6402613.255300e-07
0.3207031.6400113.121095e-07
0.3224061.6394122.796084e-07
0.3241191.6388212.469347e-07
0.325841.6382392.140875e-07
0.327571.6376641.810659e-07
0.329311.6370961.478689e-07
0.331.6368741.347000e-07
0.3310591.6365361.271040e-07
0.3328171.6359841.144904e-07
0.3345841.6354391.018098e-07
0.3363611.6349018.906192e-08
0.3381481.634377.624631e-08
0.3399431.6338466.336264e-08
0.341.633836.295600e-08
0.3417491.6333295.782706e-08
0.3435641.6328185.250375e-08
0.3453881.6323144.715218e-08
0.3472221.6318174.177218e-08
0.3490661.6313263.636361e-08
0.351.6310813.362500e-08
0.350921.6308413.238280e-08
0.3527841.6303632.986674e-08
0.3546571.6298912.733731e-08
0.3565411.6294242.479445e-08
0.3584341.6289642.223809e-08
0.361.6285892.012400e-08
0.3603381.6285091.984298e-08
0.3622511.628061.825027e-08
0.3641751.6276171.664910e-08
0.3661091.6271791.503942e-08
0.3680531.6267471.342120e-08
0.371.6263221.180100e-08
0.3700081.626321.179884e-08
0.3719731.6258991.126525e-08
0.3739481.6254821.072883e-08
0.3759341.6250711.018955e-08
0.3779311.6246659.647414e-09
0.3799381.6242649.102398e-09
0.381.6242529.085500e-09
0.3819551.6238688.523844e-09
0.3839841.6234777.941238e-09
0.3860231.623097.355538e-09
0.3880731.6227086.766727e-09
0.391.6223556.213300e-09
0.3901341.6223316.215436e-09
0.3922061.6219586.248441e-09
0.3942891.621596.281621e-09
0.3963831.6212276.314977e-09
0.3984881.6208676.348511e-09
0.41.6206136.372600e-09
0.4006041.6205126.382222e-09
0.4027311.6201616.416113e-09
0.404871.6198156.450183e-09
0.407021.6194726.484435e-09
0.4091821.6191346.518868e-09
0.4113551.6187996.553484e-09
0.413541.6184696.588284e-09
0.4157361.6181426.623269e-09
0.4179441.617826.658440e-09
0.421.6175246.691200e-09
0.4201631.6175016.693798e-09
0.4223941.6171866.729343e-09
0.4246381.6168746.765077e-09
0.4268931.6165666.801001e-09
0.429161.6162626.837115e-09
0.4314391.6159616.873421e-09
0.433731.6156646.909921e-09
0.4360331.615376.946614e-09
0.4383491.6150796.983501e-09
0.441.6148757.009800e-09
0.4406771.6147926.896485e-09
0.4430171.6145086.504792e-09
0.445371.6142276.111018e-09
0.4477351.613955.715154e-09
0.4501131.6136755.317187e-09
0.4525031.6134044.917107e-09
0.4549061.6131364.514903e-09
0.4573221.6128714.110562e-09
0.4597511.6126093.704074e-09
0.461.6125823.662400e-09
0.4621931.6123493.679853e-09
0.4646471.6120933.699391e-09
0.4671151.6118393.719033e-09
0.4695951.6115893.738779e-09
0.4720891.6113413.758630e-09
0.4745961.6110963.778587e-09
0.4771171.6108533.798649e-09
0.4796511.6106133.818819e-09
0.481.6105813.821600e-09
0.4821981.6103763.839106e-09
0.4847591.6101423.859502e-09
0.4873331.609913.880007e-09
0.4899211.609683.900621e-09
0.4925231.6094533.921344e-09
0.4951381.6092293.942178e-09
0.4977681.6090063.963122e-09
0.51.6088213.980900e-09
0.5004111.6087873.984176e-09
0.5030691.6085694.005335e-09
0.5057411.6083544.026606e-09
0.5084261.6081424.047991e-09
0.5111261.6079314.069489e-09
0.5138411.6077234.091101e-09
0.516571.6075174.112828e-09
0.5193131.6073134.134670e-09
0.5220711.6071114.156629e-09
0.5248431.6069114.178704e-09
0.5276311.6067144.200896e-09
0.5304331.6065184.223206e-09
0.533251.6063254.245634e-09
0.5360821.6061334.268182e-09
0.5389291.6059444.290849e-09
0.5417911.6057564.313637e-09
0.5446681.6055714.336546e-09
0.547561.6053874.359576e-09
0.551.6052344.379000e-09
0.5504681.6052054.382728e-09
0.5533921.6050254.405998e-09
0.5563311.6048474.429391e-09
0.5592851.604674.452909e-09
0.5622551.6044964.476551e-09
0.5652411.6043234.500319e-09
0.5682431.6041524.524214e-09
0.5712611.6039824.548235e-09
0.5742941.6038144.572384e-09
0.5773441.6036484.596661e-09
0.580411.6034844.621067e-09
0.5834931.6033214.645602e-09
0.5865911.6031594.670268e-09
0.5897071.6029994.695065e-09
0.5928381.6028414.719994e-09
0.5959871.6026844.745054e-09
0.5991521.6025294.770248e-09
0.61.6024884.777000e-09
0.6023341.6023754.795581e-09
0.6055321.6022234.821050e-09
0.6087481.6020724.846654e-09
0.6119811.6019234.872394e-09
0.6152311.6017744.898270e-09
0.6184981.6016284.924284e-09
0.6217831.6014824.950437e-09
0.6250851.6013384.976728e-09
0.6284051.6011965.003158e-09
0.6317421.6010545.029729e-09
0.6350971.6009145.056442e-09
0.638471.6007755.083296e-09
0.641861.6006375.110292e-09
0.6452691.6005015.137432e-09
0.6486961.6003665.164717e-09
0.651.6003155.175100e-09
0.6521411.6002325.192146e-09
0.6556041.6000995.219720e-09
0.6590861.5999675.247442e-09
0.6625861.5998375.275310e-09
0.6661051.5997075.303326e-09
0.6696421.5995795.331492e-09
0.6731981.5994515.359806e-09
0.6767741.5993255.388271e-09
0.6803681.59925.416888e-09
0.6839811.5990765.445656e-09
0.6876131.5989535.474577e-09
0.6912651.5988315.503652e-09
0.6949361.598715.532881e-09
0.6986271.598595.562265e-09
0.71.5985455.573200e-09
0.7023371.598475.591805e-09
0.7060671.5983525.621502e-09
0.7098161.5982355.651357e-09
0.7135861.5981185.681371e-09
0.7173751.5980035.711544e-09
0.7211851.5978885.741877e-09
0.7250151.5977755.772371e-09
0.7288651.5976625.803027e-09
0.7327361.597555.833846e-09
0.7366281.5974385.864828e-09
0.740541.5973285.895976e-09
0.7444721.5972185.927288e-09
0.7484261.5971095.958767e-09
0.7524011.5970015.990413e-09
0.7563961.5968946.022227e-09
0.7604131.5967886.054210e-09
0.7644511.5966826.086363e-09
0.7685111.5965776.118686e-09
0.7725931.5964726.151182e-09
0.7766951.5963686.183850e-09
0.780821.5962656.216691e-09
0.7849671.5961636.249707e-09
0.7891361.5960616.282898e-09
0.7933261.595966.316265e-09
0.797541.595866.349810e-09
0.81.5958026.369400e-09
0.8017751.595766.383532e-09
0.8060331.5956616.417434e-09
0.8103131.5955626.451516e-09
0.8146171.5954646.485779e-09
0.8189431.5953666.520223e-09
0.8232921.5952696.554851e-09
0.8276641.5951736.589663e-09
0.832061.5950776.624659e-09
0.8364781.5949826.659841e-09
0.8409211.5948876.695211e-09
0.8453871.5947926.730768e-09
0.8498761.5946996.766513e-09
0.8543891.5946056.802449e-09
0.8589271.5945126.838576e-09
0.8634881.594426.874894e-09
0.8680741.5943286.911405e-09
0.8726841.5942366.948110e-09
0.8773191.5941456.985010e-09
0.8819781.5940547.022106e-09
0.8866621.5939647.059399e-09
0.891371.5938737.096890e-09
0.8961041.5937847.134581e-09
0.91.5937117.165600e-09
0.9008631.5936957.310090e-09
0.9056471.5936068.111123e-09
0.9104571.5935178.916409e-09
0.9152921.5934299.725973e-09
0.9201531.5933411.053983e-08
0.9250391.5932531.135802e-08
0.9299521.5931661.218055e-08
0.934891.5930791.300745e-08
0.9398551.5929921.383874e-08
0.9448471.5929051.467444e-08
0.9498641.5928191.551458e-08
0.9549091.5927331.635919e-08
0.959981.5926471.720827e-08
0.9650781.5925611.806187e-08
0.9702031.5924761.892000e-08
0.9753561.5923911.978269e-08
0.9805351.5923062.064996e-08
0.9857431.5922212.152184e-08
0.9909781.5921362.239835e-08
0.996241.5920522.327951e-08
11.5919922.390900e-08
1.001531.5919682.394561e-08
1.006851.5918832.407278e-08
1.01221.5917992.420063e-08
1.017571.5917152.432915e-08
1.022981.5916322.445836e-08
1.028411.5915482.458826e-08
1.033871.5914642.471884e-08
1.039361.5913812.485012e-08
1.044881.5912972.498210e-08
1.050431.5912142.511477e-08
1.056011.591132.524815e-08
1.061621.5910472.538224e-08
1.067251.5909642.551704e-08
1.072921.590882.565256e-08
1.078621.5907972.578880e-08
1.084351.5907142.592576e-08
1.090111.5906312.606345e-08
1.09591.5905472.620187e-08
1.101721.5904642.634102e-08
1.107571.5903812.648091e-08
1.113451.5902972.662155e-08
1.119361.5902142.676293e-08
1.125311.590132.690507e-08
1.131281.5900462.704796e-08
1.137291.5899632.719160e-08
1.143331.5898792.733601e-08
1.14941.5897952.748119e-08
1.155511.5897112.762714e-08
1.161641.5896272.777386e-08
1.167811.5895422.792137e-08
1.174011.5894582.806965e-08
1.180251.5893732.821873e-08
1.186521.5892882.836859e-08
1.192821.5892032.851925e-08
1.199151.5891182.867071e-08
1.21.5891062.869100e-08
1.205521.5890323.254627e-08
1.211921.5889473.701778e-08
1.218361.5888614.151304e-08
1.224831.5887754.603217e-08
1.231331.5886885.057530e-08
1.237871.5886025.514256e-08
1.244451.5885155.973407e-08
1.251051.5884286.434997e-08
1.25771.588346.899038e-08
1.264381.5882537.365543e-08
1.271091.5881647.834526e-08
1.277841.5880768.305999e-08
1.284631.5879878.779976e-08
1.291451.5878989.256471e-08
1.298311.5878099.735495e-08
1.30521.5877191.021706e-07
1.312141.5876291.070119e-07
1.31911.5875381.118789e-07
1.326111.5874471.167717e-07
1.333151.5873561.216905e-07
1.340231.5872641.266354e-07
1.347351.5871721.316066e-07
1.35451.5870791.366042e-07
1.36171.5869861.416283e-07
1.368931.5868921.466791e-07
1.37621.5867981.517568e-07
1.383511.5867041.568614e-07
1.390861.5866091.619931e-07
1.398241.5865131.671520e-07
1.41.586491.683800e-07
1.405671.5864171.665066e-07
1.413131.586321.640391e-07
1.420641.5862231.615584e-07
1.428181.5861251.590646e-07
1.435771.5860271.565575e-07
1.443391.5859281.540371e-07
1.451061.5858281.515033e-07
1.458761.5857281.489561e-07
1.466511.5856271.463953e-07
1.47431.5855261.438210e-07
1.482131.5854231.412329e-07
1.491.5853211.386311e-07
1.497911.5852171.360156e-07
1.505871.5851131.333861e-07
1.513861.5850081.307426e-07
1.52191.5849021.280851e-07
1.529981.5847961.254135e-07
1.538111.5846891.227277e-07
1.546281.5845811.200277e-07
1.554491.5844721.173133e-07
1.562751.5843631.145845e-07
1.571041.5842531.118412e-07
1.579391.5841411.090833e-07
1.587781.584031.063108e-07
1.596211.5839171.035236e-07
1.61.5838661.022700e-07
1.604681.5838031.056272e-07
1.613211.5836891.117344e-07
1.621771.5835731.178741e-07
1.630391.5834571.240464e-07
1.639041.5833391.302514e-07
1.647751.5832211.364894e-07
1.65651.5831021.427605e-07
1.66531.5829821.490650e-07
1.674141.5828611.554029e-07
1.683031.5827381.617745e-07
1.691971.5826151.681799e-07
1.700951.5824911.746193e-07
1.709991.5823661.810929e-07
1.719071.5822391.876009e-07
1.72821.5821121.941435e-07
1.737381.5819832.007208e-07
1.74661.5818532.073331e-07
1.755881.5817222.139804e-07
1.76521.581592.206631e-07
1.774581.5814572.273812e-07
1.7841.5813232.341351e-07
1.793481.5811872.409248e-07
1.81.5810932.456000e-07
1.8031.581052.499282e-07
1.812581.5809122.637388e-07
1.82221.5807722.776228e-07
1.831881.5806322.915806e-07
1.841611.580493.056124e-07
1.851391.5803463.197188e-07
1.861221.5802013.339001e-07
1.87111.5800553.481567e-07
1.881041.5799073.624890e-07
1.891031.5797583.768974e-07
1.901071.5796083.913824e-07
1.911171.5794564.059443e-07
1.921321.5793034.205835e-07
1.931521.5791484.353004e-07
1.941781.5789914.500955e-07
1.952091.5788334.649692e-07
1.962461.5786734.799219e-07
1.972881.5785124.949539e-07
1.983361.5783495.100658e-07
1.993891.5781855.252580e-07
21.5780895.340700e-07
2.004481.5780195.678026e-07
2.015121.5778516.479671e-07
2.025831.5776817.285572e-07
2.036581.577518.095754e-07
2.04741.5773368.910238e-07
2.058271.5771619.729048e-07
2.06921.5769851.055221e-06
2.080191.5768061.137974e-06
2.091241.5766251.221166e-06
2.102351.5764431.304800e-06
2.113511.5762581.388879e-06
2.124731.5760721.473403e-06
2.136021.5758841.558377e-06
2.147361.5756931.643802e-06
2.158771.57551.729681e-06
2.170231.5753061.816016e-06
2.181761.5751091.902809e-06
2.193341.574911.990063e-06
2.21.5747952.040200e-06
2.204991.5747092.107697e-06
2.21671.5745062.266080e-06
2.228471.57432.425304e-06
2.240311.5740922.585373e-06
2.25221.5738822.746293e-06
2.264171.573672.908067e-06
2.276191.5734553.070700e-06
2.288281.5732373.234197e-06
2.300431.5730173.398562e-06
2.312651.5727953.563800e-06
2.324931.572573.729916e-06
2.337281.5723433.896914e-06
2.349691.5721134.064798e-06
2.362171.571884.233574e-06
2.374711.5716454.403247e-06
2.387321.5714074.573821e-06
2.41.5711664.745300e-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
—