Optical constants

Refractive index of S-BAL42 (OHARA)

S-BAL42: 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
1.58312
Extinction coefficient k
8.27428e-09
Permittivity ε1
2.50628
Permittivity ε2
2.61984e-08
Absorption coefficient α
0.00176953 cm⁻¹
Penetration depth δ = λ/(2πk)
1.13024e+10 nm
Abbe number Vd
59.375
Chromatic dispersion dn/dλ
-0.0507233 µm⁻¹
Group index ng
1.61293
Group velocity dispersion
88.9051 fs²/mm
Dispersion parameter D
-485.024 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-BAL42 (OHARA): S-BAL42
ohara_s_bal42 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-BAL42", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_bal42.range_nm)  # (290, 2400) nm
eps = ohara_s_bal42.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=1.39570615λ2λ2−0.0112218843+0.071850507λ2λ2+0.0252117422+1.27129267λ2λ2−134.49786

Valid from 0.29 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.39570615
C30.0112218843
C40.071850507
C5-0.0252117422
C61.27129267
C7134.49786

Comments and conditions

Recommended

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 2.92e-06 1.21e-08 -3.34e-11 4.43e-07 5.78e-10 0.195
nd
1.583126
Vd
59.374673
glass code
583594
density
value: 3190
thermal expansion
value: 6.6e-06, temperature range: 243 343; value: 7.6e-06, temperature range: 293 573
dPgF
-0.002
resistance
acid: 1.2; climatic: 1.0; phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 1.96e-06 K⁻¹ at 633 nm, dn/dT = 1.48e-06 K⁻¹ at 1310 nm, dn/dT = 1.44e-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-BAL42 (OHARA), S-BAL42: n and k versus wavelength
λ (µm)nk
0.291.6325148.092200e-06
0.291541.6317547.543436e-06
0.2930881.6310036.991757e-06
0.2946451.6302636.437148e-06
0.296211.6295335.879594e-06
0.2977831.6288135.319080e-06
0.2993641.6281024.755588e-06
0.31.6278214.529000e-06
0.3009541.6274024.337389e-06
0.3025521.626714.016346e-06
0.3041591.6260283.693598e-06
0.3057741.6253553.369137e-06
0.3073981.624693.042952e-06
0.3090311.6240352.715035e-06
0.311.6236512.520300e-06
0.3106721.6233882.444183e-06
0.3123221.622752.257220e-06
0.313981.622122.069264e-06
0.3156481.6214991.880310e-06
0.3173241.6208851.690352e-06
0.3190091.620281.499386e-06
0.321.6199291.387100e-06
0.3207031.6196831.342679e-06
0.3224061.6190931.235104e-06
0.3241191.6185111.126957e-06
0.325841.6179371.018235e-06
0.327571.617379.089368e-07
0.329311.616817.990577e-07
0.331.6165917.554700e-07
0.3310591.6162587.186884e-07
0.3328171.6157136.576107e-07
0.3345841.6151745.962087e-07
0.3363611.6146435.344805e-07
0.3381481.6141184.724246e-07
0.3399431.61364.100390e-07
0.341.6135844.080700e-07
0.3417491.6130893.710111e-07
0.3435641.6125843.325477e-07
0.3453881.6120862.938801e-07
0.3472221.6115932.550071e-07
0.3490661.6111072.159278e-07
0.351.6108651.961400e-07
0.350921.6106271.877572e-07
0.3527841.6101541.707778e-07
0.3546571.6096861.537082e-07
0.3565411.6092241.365480e-07
0.3584341.6087671.192967e-07
0.361.6083961.050300e-07
0.3603381.6083171.035937e-07
0.3622511.6078729.545309e-08
0.3641751.6074328.726929e-08
0.3661091.6069987.904202e-08
0.3680531.6065697.077107e-08
0.371.6061486.249000e-08
0.3700081.6061466.247422e-08
0.3719731.6057285.857255e-08
0.3739481.6053155.465016e-08
0.3759341.6049075.070694e-08
0.3779311.6045044.674277e-08
0.3799381.6041064.275756e-08
0.381.6040934.263400e-08
0.3819551.6037123.978368e-08
0.3839841.6033243.682704e-08
0.3860231.602943.385469e-08
0.3880731.6025613.086656e-08
0.391.602212.805800e-08
0.3901341.6021862.798160e-08
0.3922061.6018162.680105e-08
0.3942891.6014512.561423e-08
0.3963831.6010892.442111e-08
0.3984881.6007322.322165e-08
0.41.600482.236000e-08
0.4006041.600382.219066e-08
0.4027311.6000312.159423e-08
0.404871.5996872.099462e-08
0.407021.5993472.039183e-08
0.4091821.5990111.978585e-08
0.4113551.5986791.917664e-08
0.413541.598351.856420e-08
0.4157361.5980261.794850e-08
0.4179441.5977051.732954e-08
0.421.5974121.675300e-08
0.4201631.5973881.675951e-08
0.4223941.5970751.684854e-08
0.4246381.5967661.693804e-08
0.4268931.596461.702802e-08
0.429161.5961581.711847e-08
0.4314391.5958591.720941e-08
0.433731.5955641.730083e-08
0.4360331.5952721.739274e-08
0.4383491.5949831.748513e-08
0.441.594781.755100e-08
0.4406771.5946981.745354e-08
0.4430171.5944161.711666e-08
0.445371.5941371.677798e-08
0.4477351.5938621.643751e-08
0.4501131.5935891.609523e-08
0.4525031.593321.575114e-08
0.4549061.5930541.540521e-08
0.4573221.5927911.505745e-08
0.4597511.592531.470784e-08
0.461.5925041.467200e-08
0.4621931.5922731.432162e-08
0.4646471.5920191.392939e-08
0.4671151.5917671.353507e-08
0.4695951.5915181.313866e-08
0.4720891.5912721.274014e-08
0.4745961.5910291.233950e-08
0.4771171.5907891.193674e-08
0.4796511.5905511.153184e-08
0.481.5905181.147600e-08
0.4821981.5903161.109025e-08
0.4847591.5900831.064079e-08
0.4873331.5898531.018895e-08
0.4899211.5896259.734708e-09
0.4925231.58949.278053e-09
0.4951381.5891788.818973e-09
0.4977681.5889588.357455e-09
0.51.5887747.965700e-09
0.5004111.588747.936186e-09
0.5030691.5885247.745552e-09
0.5057411.5883117.553906e-09
0.5084261.5881017.361242e-09
0.5111261.5878927.167554e-09
0.5138411.5876866.972839e-09
0.516571.5874826.777089e-09
0.5193131.587286.580299e-09
0.5220711.587086.382465e-09
0.5248431.5868836.183580e-09
0.5276311.5866875.983638e-09
0.5304331.5864945.782635e-09
0.533251.5863025.580564e-09
0.5360821.5861135.377421e-09
0.5389291.5859265.173198e-09
0.5417911.585744.967891e-09
0.5446681.5855574.761494e-09
0.547561.5853754.554000e-09
0.551.5852244.379000e-09
0.5504681.5851954.427518e-09
0.5533921.5850174.730371e-09
0.5563311.5848415.034832e-09
0.5592851.5846675.340910e-09
0.5622551.5844945.648613e-09
0.5652411.5843245.957951e-09
0.5682431.5841556.268931e-09
0.5712611.5839876.581563e-09
0.5742941.5838226.895855e-09
0.5773441.5836587.211816e-09
0.580411.5834957.529456e-09
0.5834931.5833347.848782e-09
0.5865911.5831758.169803e-09
0.5897071.5830188.492530e-09
0.5928381.5828628.816971e-09
0.5959871.5827079.143134e-09
0.5991521.5825549.471030e-09
0.61.5825139.558900e-09
0.6023341.5824039.596057e-09
0.6055321.5822529.646988e-09
0.6087481.5821049.698190e-09
0.6119811.5819579.749663e-09
0.6152311.5818119.801410e-09
0.6184981.5816669.853432e-09
0.6217831.5815239.905729e-09
0.6250851.5813829.958305e-09
0.6284051.5812411.001116e-08
0.6317421.5811021.006430e-08
0.6350971.5809641.011771e-08
0.638471.5808281.017141e-08
0.641861.5806921.022540e-08
0.6452691.5805581.027967e-08
0.6486961.5804261.033424e-08
0.651.5803761.035500e-08
0.6521411.5802941.038913e-08
0.6556041.5801631.044433e-08
0.6590861.5800341.049983e-08
0.6625861.5799061.055562e-08
0.6661051.5797791.061171e-08
0.6696421.5796531.066810e-08
0.6731981.5795281.072478e-08
0.6767741.5794051.078177e-08
0.6803681.5792821.083906e-08
0.6839811.579161.089666e-08
0.6876131.579041.095456e-08
0.6912651.578921.101276e-08
0.6949361.5788011.107128e-08
0.6986271.5786841.113011e-08
0.71.578641.115200e-08
0.7023371.5785671.118922e-08
0.7060671.5784511.124864e-08
0.7098161.5783371.130837e-08
0.7135861.5782231.136842e-08
0.7173751.578111.142879e-08
0.7211851.5779981.148948e-08
0.7250151.5778871.155049e-08
0.7288651.5777771.161183e-08
0.7327361.5776671.167349e-08
0.7366281.5775591.173548e-08
0.740541.5774511.179779e-08
0.7444721.5773441.186044e-08
0.7484261.5772381.192342e-08
0.7524011.5771321.198674e-08
0.7563961.5770281.205039e-08
0.7604131.5769241.211438e-08
0.7644511.5768211.217871e-08
0.7685111.5767181.224338e-08
0.7725931.5766171.230840e-08
0.7766951.5765161.237376e-08
0.780821.5764151.243947e-08
0.7849671.5763161.250552e-08
0.7891361.5762171.257193e-08
0.7933261.5761191.263869e-08
0.797541.5760211.270580e-08
0.81.5759651.274500e-08
0.8017751.5759241.290072e-08
0.8060331.5758281.327427e-08
0.8103131.5757321.364980e-08
0.8146171.5756371.402733e-08
0.8189431.5755421.440686e-08
0.8232921.5754481.478841e-08
0.8276641.5753551.517198e-08
0.832061.5752621.555760e-08
0.8364781.575171.594526e-08
0.8409211.5750781.633497e-08
0.8453871.5749861.672676e-08
0.8498761.5748961.712063e-08
0.8543891.5748051.751659e-08
0.8589271.5747151.791465e-08
0.8634881.5746261.831483e-08
0.8680741.5745371.871713e-08
0.8726841.5744491.912157e-08
0.8773191.574361.952816e-08
0.8819781.5742731.993690e-08
0.8866621.5741862.034782e-08
0.891371.5740992.076092e-08
0.8961041.5740122.117621e-08
0.91.5739422.151800e-08
0.9008631.5739262.153863e-08
0.9056471.5738412.165302e-08
0.9104571.5737552.176802e-08
0.9152921.573672.188363e-08
0.9201531.5735862.199985e-08
0.9250391.5735022.211669e-08
0.9299521.5734182.223415e-08
0.934891.5733342.235223e-08
0.9398551.5732512.247094e-08
0.9448471.5731682.259028e-08
0.9498641.5730852.271026e-08
0.9549091.5730022.283087e-08
0.959981.572922.295212e-08
0.9650781.5728382.307402e-08
0.9702031.5727562.319656e-08
0.9753561.5726752.331975e-08
0.9805351.5725942.344360e-08
0.9857431.5725122.356811e-08
0.9909781.5724322.369327e-08
0.996241.5723512.381911e-08
11.5722942.390900e-08
1.001531.572272.394561e-08
1.006851.572192.407278e-08
1.01221.572112.420063e-08
1.017571.572032.432915e-08
1.022981.571952.445836e-08
1.028411.571872.458826e-08
1.033871.571792.471884e-08
1.039361.5717112.485012e-08
1.044881.5716322.498210e-08
1.050431.5715522.511477e-08
1.056011.5714732.524815e-08
1.061621.5713942.538224e-08
1.067251.5713152.551704e-08
1.072921.5712362.565256e-08
1.078621.5711572.578880e-08
1.084351.5710782.592576e-08
1.090111.5709992.606345e-08
1.09591.570922.620187e-08
1.101721.5708412.634102e-08
1.107571.5707622.648091e-08
1.113451.5706832.662155e-08
1.119361.5706042.676293e-08
1.125311.5705252.690507e-08
1.131281.5704462.704796e-08
1.137291.5703672.719160e-08
1.143331.5702882.733601e-08
1.14941.5702092.748119e-08
1.155511.570132.762714e-08
1.161641.5700512.777386e-08
1.167811.5699712.792137e-08
1.174011.5698922.806965e-08
1.180251.5698122.821873e-08
1.186521.5697322.836859e-08
1.192821.5696522.851925e-08
1.199151.5695722.867071e-08
1.21.5695622.869100e-08
1.205521.5694923.192254e-08
1.211921.5694123.567061e-08
1.218361.5693313.943859e-08
1.224831.5692514.322658e-08
1.231331.569174.703468e-08
1.237871.5690895.086301e-08
1.244451.5690085.471168e-08
1.251051.5689265.858077e-08
1.25771.5688446.247042e-08
1.264381.5687626.638073e-08
1.271091.568687.031180e-08
1.277841.5685987.426374e-08
1.284631.5685157.823668e-08
1.291451.5684328.223071e-08
1.298311.5683498.624595e-08
1.30521.5682659.028252e-08
1.312141.5681819.434052e-08
1.31911.5680979.842008e-08
1.326111.5680121.025213e-07
1.333151.5679271.066443e-07
1.340231.5678421.107892e-07
1.347351.5677561.149561e-07
1.35451.567671.191451e-07
1.36171.5675841.233564e-07
1.368931.5674971.275901e-07
1.37621.567411.318462e-07
1.383511.5673231.361249e-07
1.390861.5672351.404264e-07
1.398241.5671461.447507e-07
1.41.5671251.457800e-07
1.405671.5670571.438203e-07
1.413131.5669681.412391e-07
1.420641.5668781.386441e-07
1.428181.5667881.360354e-07
1.435771.5666971.334128e-07
1.443391.5666061.307763e-07
1.451061.5665141.281257e-07
1.458761.5664221.254611e-07
1.466511.5663291.227824e-07
1.47431.5662361.200894e-07
1.482131.5661421.173821e-07
1.491.5660471.146605e-07
1.497911.5659521.119244e-07
1.505871.5658561.091737e-07
1.513861.565761.064085e-07
1.52191.5656631.036286e-07
1.529981.5655661.008339e-07
1.538111.5654689.802432e-08
1.546281.5653699.519986e-08
1.554491.5652699.236040e-08
1.562751.5651698.950587e-08
1.571041.5650688.663617e-08
1.579391.5649678.375123e-08
1.587781.5648658.085098e-08
1.596211.5647627.793532e-08
1.61.5647157.662400e-08
1.604681.5646587.990005e-08
1.613211.5645548.585968e-08
1.621771.5644489.185096e-08
1.630391.5643429.787407e-08
1.639041.5642361.039292e-07
1.647751.5641281.100164e-07
1.65651.564021.161360e-07
1.66531.563911.222880e-07
1.674141.56381.284728e-07
1.683031.5636891.346904e-07
1.691971.5635771.409410e-07
1.700951.5634651.472248e-07
1.709991.5633511.535419e-07
1.719071.5632371.598927e-07
1.72821.5631211.662771e-07
1.737381.5630051.726955e-07
1.74661.5628871.791479e-07
1.755881.5627691.856346e-07
1.76521.562651.921558e-07
1.774581.5625291.987115e-07
1.7841.5624082.053022e-07
1.793481.5622852.119278e-07
1.81.5622012.164900e-07
1.8031.5621622.197780e-07
1.812581.5620372.302694e-07
1.82221.5619122.408166e-07
1.831881.5617852.514197e-07
1.841611.5616572.620792e-07
1.851391.5615282.727953e-07
1.861221.5613982.835683e-07
1.87111.5612672.943985e-07
1.881041.5611343.052863e-07
1.891031.5610013.162318e-07
1.901071.5608663.272355e-07
1.911171.560733.382976e-07
1.921321.5605923.494185e-07
1.931521.5604543.605984e-07
1.941781.5603143.718377e-07
1.952091.5601723.831367e-07
1.962461.560033.944957e-07
1.972881.5598864.059150e-07
1.983361.559744.173949e-07
1.993891.5595944.289358e-07
21.5595084.356300e-07
2.004481.5594454.598471e-07
2.015121.5592965.173982e-07
2.025831.5591455.752549e-07
2.036581.5589926.334188e-07
2.04741.5588386.918917e-07
2.058271.5586837.506751e-07
2.06921.5585268.097707e-07
2.080191.5583678.691801e-07
2.091241.5582079.289050e-07
2.102351.5580459.889471e-07
2.113511.5578821.049308e-06
2.124731.5577171.109990e-06
2.136021.557551.170993e-06
2.147361.5573821.232321e-06
2.158771.5572121.293974e-06
2.170231.557041.355955e-06
2.181761.5568661.418265e-06
2.193341.5566911.480906e-06
2.21.556591.516900e-06
2.204991.5565141.550924e-06
2.21671.5563351.630763e-06
2.228471.5561541.711025e-06
2.240311.5559711.791714e-06
2.25221.5557861.872831e-06
2.264171.55561.954379e-06
2.276191.5554112.036360e-06
2.288281.5552212.118776e-06
2.300431.5550282.201630e-06
2.312651.5548342.284924e-06
2.324931.5546372.368660e-06
2.337281.5544382.452841e-06
2.349691.5542372.537469e-06
2.362171.5540342.622547e-06
2.374711.5538292.708076e-06
2.387321.5536212.794060e-06
2.41.5534122.880500e-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
—