Optical constants

Refractive index of BAL35Y (OHARA)

BAL35Y: 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
1.58913
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.52533
Permittivity ε2
1.48688e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
61.233
Chromatic dispersion dn/dλ
-0.0497929 µm⁻¹
Group index ng
1.61839
Group velocity dispersion
85.8532 fs²/mm
Dispersion parameter D
-468.375 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

# BAL35Y (OHARA): BAL35Y
ohara_bal35y = ls.fetch_refractiveindex("specs", "OHARA-optical", "BAL35Y", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_bal35y.range_nm)  # (290, 2400) nm
eps = ohara_bal35y.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=1.26231429λ2λ2−0.00695586355+0.22515421λ2λ2−0.0221310699+0.639119345λ2λ2−63.1662736

Valid from 0.29 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.26231429
C30.00695586355
C40.22515421
C50.0221310699
C60.639119345
C763.1662736

Comments and conditions

Improved XMT at 365

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 3.6e-06 1.41e-08 -3.59e-11 4.39e-07 5.79e-10 0.167
nd
1.589130
Vd
61.233033
glass code
589612
density
value: 3230
thermal expansion
value: 5.7e-06, temperature range: 243 343; value: 7.2e-06, temperature range: 293 573
dPgF
-0.0026
resistance
acid: 4.2; climatic: 2.0; phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 2.29e-06 K⁻¹ at 633 nm, dn/dT = 1.81e-06 K⁻¹ at 1310 nm, dn/dT = 1.77e-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
BAL35Y (OHARA), BAL35Y: n and k versus wavelength
λ (µm)nk
0.291.6373295.093800e-06
0.291541.6365774.564163e-06
0.2930881.6358364.031714e-06
0.2946451.6351063.496437e-06
0.296211.6343862.958318e-06
0.2977831.6336772.417340e-06
0.2993641.6329771.873490e-06
0.31.63271.654800e-06
0.3009541.6322881.552417e-06
0.3025521.6316081.380876e-06
0.3041591.6309371.208424e-06
0.3057741.6302761.035055e-06
0.3073981.6296258.607664e-07
0.3090311.6289826.855519e-07
0.311.6286065.815000e-07
0.3106721.6283485.567030e-07
0.3123221.6277234.957948e-07
0.313981.6271064.345631e-07
0.3156481.6264983.730063e-07
0.3173241.6258983.111225e-07
0.3190091.6253062.489101e-07
0.321.6249632.123300e-07
0.3207031.6247222.037859e-07
0.3224061.6241461.830942e-07
0.3241191.6235771.622927e-07
0.325841.6230171.413807e-07
0.327571.6224631.203576e-07
0.329311.6219179.922289e-08
0.331.6217049.083900e-08
0.3310591.6213798.584173e-08
0.3328171.6208477.754349e-08
0.3345841.6203226.920119e-08
0.3363611.6198046.081458e-08
0.3381481.6192935.238344e-08
0.3399431.6187894.390752e-08
0.341.6187734.364000e-08
0.3417491.6182914.041201e-08
0.3435641.6177993.706169e-08
0.3453881.6173143.369358e-08
0.3472221.6168353.030758e-08
0.3490661.6163632.690360e-08
0.351.6161272.518000e-08
0.350921.6158962.444955e-08
0.3527841.6154352.297003e-08
0.3546571.614982.148265e-08
0.3565411.6145311.998737e-08
0.3584341.6140871.848415e-08
0.361.6137271.724100e-08
0.3603381.613651.705732e-08
0.3622511.6132171.601631e-08
0.3641751.612791.496977e-08
0.3661091.6123681.391767e-08
0.3680531.6119521.285998e-08
0.371.6115421.180100e-08
0.3700081.6115411.179884e-08
0.3719731.6111341.126525e-08
0.3739481.6107331.072883e-08
0.3759341.6103371.018955e-08
0.3779311.6099469.647414e-09
0.3799381.6095599.102398e-09
0.381.6095479.085500e-09
0.3819551.6091778.523844e-09
0.3839841.60887.941238e-09
0.3860231.6084277.355538e-09
0.3880731.6080596.766727e-09
0.391.6077196.213300e-09
0.3901341.6076956.215436e-09
0.3922061.6073366.248441e-09
0.3942891.6069816.281621e-09
0.3963831.606636.314977e-09
0.3984881.6062846.348511e-09
0.41.6060396.372600e-09
0.4006041.6059426.281129e-09
0.4027311.6056035.958956e-09
0.404871.6052695.635072e-09
0.407021.6049395.309468e-09
0.4091821.6046124.982134e-09
0.4113551.604294.653063e-09
0.413541.6039714.322244e-09
0.4157361.6036563.989667e-09
0.4179441.6033443.655325e-09
0.421.6030593.343900e-09
0.4201631.6030373.345199e-09
0.4223941.6027323.362971e-09
0.4246381.6024323.380838e-09
0.4268931.6021353.398800e-09
0.429161.6018413.416858e-09
0.4314391.6015513.435011e-09
0.433731.6012643.453260e-09
0.4360331.600983.471607e-09
0.4383491.6006993.490051e-09
0.441.6005023.503200e-09
0.4406771.6004223.508589e-09
0.4430171.6001483.527218e-09
0.445371.5998773.545945e-09
0.4477351.5996093.564772e-09
0.4501131.5993443.583699e-09
0.4525031.5990823.602727e-09
0.4549061.5988233.621856e-09
0.4573221.5985673.641086e-09
0.4597511.5983143.660418e-09
0.461.5982883.662400e-09
0.4621931.5980643.679853e-09
0.4646471.5978163.699391e-09
0.4671151.5975713.719033e-09
0.4695951.5973293.738779e-09
0.4720891.597093.758630e-09
0.4745961.5968533.778587e-09
0.4771171.5966193.798649e-09
0.4796511.5963873.818819e-09
0.481.5963553.821600e-09
0.4821981.5961583.839106e-09
0.4847591.5959313.859502e-09
0.4873331.5957073.880007e-09
0.4899211.5954853.900621e-09
0.4925231.5952663.921344e-09
0.4951381.5950493.942178e-09
0.4977681.5948343.963122e-09
0.51.5946553.980900e-09
0.5004111.5946223.984176e-09
0.5030691.5944124.005335e-09
0.5057411.5942044.026606e-09
0.5084261.5939984.047991e-09
0.5111261.5937954.069489e-09
0.5138411.5935934.091101e-09
0.516571.5933944.112828e-09
0.5193131.5931974.134670e-09
0.5220711.5930024.156629e-09
0.5248431.5928094.178704e-09
0.5276311.5926184.200896e-09
0.5304331.5924294.223206e-09
0.533251.5922424.245634e-09
0.5360821.5920574.268182e-09
0.5389291.5918734.290849e-09
0.5417911.5916924.313637e-09
0.5446681.5915124.336546e-09
0.547561.5913354.359576e-09
0.551.5911874.379000e-09
0.5504681.5911594.382728e-09
0.5533921.5909844.405998e-09
0.5563311.5908124.429391e-09
0.5592851.5906414.452909e-09
0.5622551.5904724.476551e-09
0.5652411.5903054.500319e-09
0.5682431.5901394.524214e-09
0.5712611.5899754.548235e-09
0.5742941.5898134.572384e-09
0.5773441.5896524.596661e-09
0.580411.5894934.621067e-09
0.5834931.5893354.645602e-09
0.5865911.5891794.670268e-09
0.5897071.5890244.695065e-09
0.5928381.5888714.719994e-09
0.5959871.5887194.745054e-09
0.5991521.5885694.770248e-09
0.61.5885294.777000e-09
0.6023341.588424.795581e-09
0.6055321.5882724.821050e-09
0.6087481.5881264.846654e-09
0.6119811.5879814.872394e-09
0.6152311.5878384.898270e-09
0.6184981.5876964.924284e-09
0.6217831.5875554.950437e-09
0.6250851.5874164.976728e-09
0.6284051.5872775.003158e-09
0.6317421.587145.029729e-09
0.6350971.5870045.056442e-09
0.638471.586875.083296e-09
0.641861.5867375.110292e-09
0.6452691.5866045.137432e-09
0.6486961.5864735.164717e-09
0.651.5864245.175100e-09
0.6521411.5863435.192146e-09
0.6556041.5862155.219720e-09
0.6590861.5860875.247442e-09
0.6625861.585965.275310e-09
0.6661051.5858355.303326e-09
0.6696421.585715.331492e-09
0.6731981.5855875.359806e-09
0.6767741.5854655.388271e-09
0.6803681.5853435.416888e-09
0.6839811.5852235.445656e-09
0.6876131.5851035.474577e-09
0.6912651.5849855.503652e-09
0.6949361.5848685.532881e-09
0.6986271.5847515.562265e-09
0.71.5847085.573200e-09
0.7023371.5846355.591805e-09
0.7060671.5845215.621502e-09
0.7098161.5844075.651357e-09
0.7135861.5842945.681371e-09
0.7173751.5841825.711544e-09
0.7211851.5840715.741877e-09
0.7250151.583965.772371e-09
0.7288651.5838515.803027e-09
0.7327361.5837425.833846e-09
0.7366281.5836345.864828e-09
0.740541.5835275.895976e-09
0.7444721.583425.927288e-09
0.7484261.5833145.958767e-09
0.7524011.5832095.990413e-09
0.7563961.5831056.022227e-09
0.7604131.5830026.054210e-09
0.7644511.5828996.086363e-09
0.7685111.5827976.118686e-09
0.7725931.5826956.151182e-09
0.7766951.5825956.183850e-09
0.780821.5824946.216691e-09
0.7849671.5823956.249707e-09
0.7891361.5822966.282898e-09
0.7933261.5821986.316265e-09
0.797541.58216.349810e-09
0.81.5820436.369400e-09
0.8017751.5820036.383532e-09
0.8060331.5819066.417434e-09
0.8103131.581816.451516e-09
0.8146171.5817156.485779e-09
0.8189431.581626.520223e-09
0.8232921.5815266.554851e-09
0.8276641.5814326.589663e-09
0.832061.5813396.624659e-09
0.8364781.5812466.659841e-09
0.8409211.5811546.695211e-09
0.8453871.5810626.730768e-09
0.8498761.580976.766513e-09
0.8543891.5808796.802449e-09
0.8589271.5807896.838576e-09
0.8634881.5806996.874894e-09
0.8680741.5806096.911405e-09
0.8726841.580526.948110e-09
0.8773191.5804316.985010e-09
0.8819781.5803437.022106e-09
0.8866621.5802547.059399e-09
0.891371.5801677.096890e-09
0.8961041.5800797.134581e-09
0.91.5800087.165600e-09
0.9008631.5799927.310090e-09
0.9056471.5799058.111123e-09
0.9104571.5798198.916409e-09
0.9152921.5797339.725973e-09
0.9201531.5796471.053983e-08
0.9250391.5795621.135802e-08
0.9299521.5794761.218055e-08
0.934891.5793911.300745e-08
0.9398551.5793071.383874e-08
0.9448471.5792221.467444e-08
0.9498641.5791381.551458e-08
0.9549091.5790541.635919e-08
0.959981.578971.720827e-08
0.9650781.5788861.806187e-08
0.9702031.5788031.892000e-08
0.9753561.578721.978269e-08
0.9805351.5786372.064996e-08
0.9857431.5785542.152184e-08
0.9909781.5784712.239835e-08
0.996241.5783892.327951e-08
11.578332.390900e-08
1.001531.5783062.394561e-08
1.006851.5782242.407278e-08
1.01221.5781422.420063e-08
1.017571.5780592.432915e-08
1.022981.5779772.445836e-08
1.028411.5778962.458826e-08
1.033871.5778142.471884e-08
1.039361.5777322.485012e-08
1.044881.577652.498210e-08
1.050431.5775682.511477e-08
1.056011.5774872.524815e-08
1.061621.5774052.538224e-08
1.067251.5773242.551704e-08
1.072921.5772422.565256e-08
1.078621.577162.578880e-08
1.084351.5770792.592576e-08
1.090111.5769972.606345e-08
1.09591.5769152.620187e-08
1.101721.5768342.634102e-08
1.107571.5767522.648091e-08
1.113451.576672.662155e-08
1.119361.5765882.676293e-08
1.125311.5765062.690507e-08
1.131281.5764242.704796e-08
1.137291.5763422.719160e-08
1.143331.5762592.733601e-08
1.14941.5761772.748119e-08
1.155511.5760942.762714e-08
1.161641.5760112.777386e-08
1.167811.5759282.792137e-08
1.174011.5758452.806965e-08
1.180251.5757622.821873e-08
1.186521.5756792.836859e-08
1.192821.5755952.851925e-08
1.199151.5755112.867071e-08
1.21.57552.869100e-08
1.205521.5754273.254627e-08
1.211921.5753433.701778e-08
1.218361.5752584.151304e-08
1.224831.5751734.603217e-08
1.231331.5750885.057530e-08
1.237871.5750035.514256e-08
1.244451.5749175.973407e-08
1.251051.5748326.434997e-08
1.25771.5747456.899038e-08
1.264381.5746597.365543e-08
1.271091.5745727.834526e-08
1.277841.5744858.305999e-08
1.284631.5743978.779976e-08
1.291451.5743099.256471e-08
1.298311.5742219.735495e-08
1.30521.5741321.021706e-07
1.312141.5740431.070119e-07
1.31911.5739541.118789e-07
1.326111.5738641.167717e-07
1.333151.5737741.216905e-07
1.340231.5736831.266354e-07
1.347351.5735921.316066e-07
1.35451.57351.366042e-07
1.36171.5734081.416283e-07
1.368931.5733151.466791e-07
1.37621.5732221.517568e-07
1.383511.5731291.568614e-07
1.390861.5730351.619931e-07
1.398241.572941.671520e-07
1.41.5729171.683800e-07
1.405671.5728451.661431e-07
1.413131.5727491.631966e-07
1.420641.5726531.602345e-07
1.428181.5725561.572567e-07
1.435771.5724581.542631e-07
1.443391.572361.512536e-07
1.451061.5722611.482281e-07
1.458761.5721621.451865e-07
1.466511.5720621.421287e-07
1.47431.5719611.390548e-07
1.482131.571861.359645e-07
1.491.5717581.328578e-07
1.497911.5716551.297346e-07
1.505871.5715511.265948e-07
1.513861.5714471.234383e-07
1.52191.5713421.202651e-07
1.529981.5712361.170750e-07
1.538111.571131.138680e-07
1.546281.5710221.106439e-07
1.554491.5709141.074027e-07
1.562751.5708051.041444e-07
1.571041.5706961.008687e-07
1.579391.5705859.757558e-08
1.587781.5704739.426500e-08
1.596211.5703619.093684e-08
1.61.570318.944000e-08
1.604681.5702489.207529e-08
1.613211.5701349.686930e-08
1.621771.5700191.016888e-07
1.630391.5699021.065338e-07
1.639041.5697851.114046e-07
1.647751.5696671.163013e-07
1.65651.5695491.212239e-07
1.66531.5694291.261727e-07
1.674141.5693081.311478e-07
1.683031.5691851.361493e-07
1.691971.5690621.411774e-07
1.700951.5689381.462322e-07
1.709991.5688131.513138e-07
1.719071.5686861.564224e-07
1.72821.5685591.615581e-07
1.737381.568431.667211e-07
1.74661.56831.719115e-07
1.755881.5681691.771295e-07
1.76521.5680371.823752e-07
1.774581.5679041.876488e-07
1.7841.5677691.929504e-07
1.793481.5676331.982801e-07
1.81.5675392.019500e-07
1.8031.5674962.054561e-07
1.812581.5673572.166437e-07
1.82221.5672172.278906e-07
1.831881.5670762.391973e-07
1.841611.5669332.505641e-07
1.851391.5667892.619912e-07
1.861221.5666442.734790e-07
1.87111.5664972.850278e-07
1.881041.5663482.966379e-07
1.891031.5661983.083097e-07
1.901071.5660473.200435e-07
1.911171.5658943.318396e-07
1.921321.565743.436983e-07
1.931521.5655843.556200e-07
1.941781.5654263.676050e-07
1.952091.5652673.796537e-07
1.962461.5651063.917664e-07
1.972881.5649434.039434e-07
1.983361.5647794.161850e-07
1.993891.5646134.284917e-07
21.5645164.356300e-07
2.004481.5644454.654463e-07
2.015121.5642765.363037e-07
2.025831.5641056.075375e-07
2.036581.5639316.791495e-07
2.04741.5637567.511419e-07
2.058271.5635798.235166e-07
2.06921.56348.962756e-07
2.080191.563229.694210e-07
2.091241.5630371.042955e-06
2.102351.5628521.116879e-06
2.113511.5626651.191196e-06
2.124731.5624761.265908e-06
2.136021.5622851.341016e-06
2.147361.5620921.416524e-06
2.158771.5618971.492432e-06
2.170231.5616991.568743e-06
2.181761.5614991.645460e-06
2.193341.5612971.722584e-06
2.21.561181.766900e-06
2.204991.5610931.817383e-06
2.21671.5608861.935840e-06
2.228471.5606772.054927e-06
2.240311.5604652.174646e-06
2.25221.5602512.295001e-06
2.264171.5600352.415996e-06
2.276191.5598162.537632e-06
2.288281.5595942.659915e-06
2.300431.559372.782847e-06
2.312651.5591432.906432e-06
2.324931.5589143.030673e-06
2.337281.5586813.155574e-06
2.349691.5584463.281139e-06
2.362171.5582083.407370e-06
2.374711.5579683.534272e-06
2.387321.5577243.661847e-06
2.41.5574773.790100e-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
—