Optical constants

Refractive index of S-BAL35 (OHARA)

S-BAL35: n,k 0.3–2.4 µm

Data
formula 2 + tabulated k
Range
0.3–2.4 µm
Temperature
298 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.3–2.4 µm
Refractive index n
1.58913
Extinction coefficient k
8.27428e-09
Permittivity ε1
2.52533
Permittivity ε2
2.62978e-08
Absorption coefficient α
0.00176953 cm⁻¹
Penetration depth δ = λ/(2πk)
1.13024e+10 nm
Abbe number Vd
61.135
Chromatic dispersion dn/dλ
-0.0498493 µm⁻¹
Group index ng
1.61842
Group velocity dispersion
86.2121 fs²/mm
Dispersion parameter D
-470.333 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-BAL35 (OHARA): S-BAL35
ohara_s_bal35 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-BAL35", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_bal35.range_nm)  # (300, 2400) nm
eps = ohara_s_bal35.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=0.941357273λ2λ2−0.0140333996+0.546174895λ2λ2−0.000906635683+1.16168917λ2λ2−114.163758

Valid from 0.3 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C20.941357273
C30.0140333996
C40.546174895
C50.000906635683
C61.16168917
C7114.163758

Comments and conditions

Recommended

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 3.66e-06 1.79e-08 -4.21e-11 3.12e-07 3.55e-10 0.254
nd
1.589130
Vd
61.135024
glass code
589612
density
value: 3310
thermal expansion
value: 5.7e-06, temperature range: 243 343; value: 6.7e-06, temperature range: 293 573
dPgF
-0.0018
resistance
acid: 4.2; climatic: 2.0; phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 2.20e-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 427 wavelengths, the same grid as the API and the library
S-BAL35 (OHARA), S-BAL35: n and k versus wavelength
λ (µm)nk
0.31.6328111.099400e-05
0.3015681.6321379.979280e-06
0.3031431.6314728.959258e-06
0.3047271.6308177.933905e-06
0.306321.630176.903196e-06
0.307921.6295315.867100e-06
0.3095291.6289024.825591e-06
0.311.628724.520800e-06
0.3111471.628284.248893e-06
0.3127721.6276673.863315e-06
0.3144071.6270623.475722e-06
0.3160491.6264653.086104e-06
0.3177011.6258762.694450e-06
0.3193611.6252952.300749e-06
0.321.6250742.149200e-06
0.321031.6247212.036188e-06
0.3227071.6241541.852087e-06
0.3243931.6235951.667025e-06
0.3260881.6230441.480995e-06
0.3277921.6224991.293993e-06
0.3295051.6219611.106014e-06
0.331.6218081.051700e-06
0.3312271.6214319.885465e-07
0.3329581.6209078.994549e-07
0.3346971.620398.098979e-07
0.3364461.6198797.198729e-07
0.3382041.6193756.293775e-07
0.3399711.6188785.384093e-07
0.341.618875.369400e-07
0.3417481.6183864.922220e-07
0.3435341.6179014.465363e-07
0.3453291.6174224.006119e-07
0.3471331.6169493.544475e-07
0.3489471.6164823.080419e-07
0.351.6162152.811000e-07
0.350771.6160212.709989e-07
0.3526031.6155652.469628e-07
0.3544461.6151152.228011e-07
0.3562981.6146711.985132e-07
0.3581591.6142321.740983e-07
0.361.6138061.499600e-07
0.3600311.6137991.497556e-07
0.3619121.6133711.372750e-07
0.3638031.6129481.247292e-07
0.3657041.6125311.121179e-07
0.3676151.6121189.944065e-08
0.3695361.6117118.669718e-08
0.371.6116138.361800e-08
0.3714671.6113087.895820e-08
0.3734081.6109117.279183e-08
0.3753591.6105186.659324e-08
0.377321.610136.036226e-08
0.3792921.6097465.409873e-08
0.381.609615.184900e-08
0.3812741.6093674.961728e-08
0.3832661.6089934.612667e-08
0.3852691.6086234.261782e-08
0.3872821.6082583.909063e-08
0.3893051.6078973.554501e-08
0.391.6077753.432800e-08
0.391341.607543.272475e-08
0.3933841.6071883.027749e-08
0.395441.606842.781743e-08
0.3975061.6064952.534452e-08
0.3995831.6061552.285869e-08
0.41.6060882.236000e-08
0.4016711.6058192.189147e-08
0.403771.6054872.130306e-08
0.405881.6051582.071158e-08
0.4080011.6048342.011701e-08
0.4101331.6045131.951933e-08
0.4122761.6041961.891853e-08
0.414431.6038831.831459e-08
0.4165951.6035731.770750e-08
0.4187721.6032671.709723e-08
0.421.6030961.675300e-08
0.420961.6029641.679132e-08
0.423161.6026651.687908e-08
0.4253711.6023691.696731e-08
0.4275941.6020771.705599e-08
0.4298281.6017881.714514e-08
0.4320741.6015021.723475e-08
0.4343321.6012191.732483e-08
0.4366011.600941.741539e-08
0.4388821.6006641.750641e-08
0.441.600531.755100e-08
0.4411761.6003911.738175e-08
0.4434811.6001211.704991e-08
0.4457981.5998541.671634e-08
0.4481281.599591.638102e-08
0.4504691.5993291.604395e-08
0.4528231.5990711.570512e-08
0.4551891.5988151.536452e-08
0.4575681.5985631.502214e-08
0.4599591.5983131.467797e-08
0.461.5983091.467200e-08
0.4623621.5980661.429456e-08
0.4647781.5978221.390849e-08
0.4672061.597581.352041e-08
0.4696481.5973411.313029e-08
0.4721021.5971051.273814e-08
0.4745691.5968711.234394e-08
0.4770481.596641.194768e-08
0.4795411.5964121.154934e-08
0.481.596371.147600e-08
0.4820471.5961851.111677e-08
0.4845661.5959611.067468e-08
0.4870981.595741.023028e-08
0.4896431.5955219.783559e-09
0.4922011.5953049.334504e-09
0.4947731.595098.883103e-09
0.4973581.5948788.429342e-09
0.4999571.5946687.973211e-09
0.51.5946657.965700e-09
0.502571.594467.781372e-09
0.5051961.5942557.592996e-09
0.5078351.5940527.403635e-09
0.5104891.593857.213284e-09
0.5131561.5936517.021939e-09
0.5158381.5934546.829594e-09
0.5185331.5932596.636244e-09
0.5212431.5930666.441884e-09
0.5239661.5928756.246508e-09
0.5267041.5926866.050111e-09
0.5294561.5924995.852688e-09
0.5322231.5923145.654234e-09
0.5350041.5921315.454742e-09
0.5377991.5919495.254208e-09
0.5406091.591775.052626e-09
0.5434341.5915924.849991e-09
0.5462741.5914164.646297e-09
0.5491281.5912424.441539e-09
0.551.5911894.379000e-09
0.5519981.5910694.585938e-09
0.5548821.5908994.884747e-09
0.5577811.590735.185118e-09
0.5606961.5905625.487059e-09
0.5636261.5903965.790577e-09
0.5665711.5902326.095681e-09
0.5695311.590076.402379e-09
0.5725071.5899096.710680e-09
0.5754981.5897497.020592e-09
0.5785061.5895927.332123e-09
0.5815281.5894357.645282e-09
0.5845671.589287.960077e-09
0.5876221.5891278.276518e-09
0.5906921.5889758.594611e-09
0.5937791.5888258.914367e-09
0.5968811.5886759.235794e-09
0.61.5885289.558900e-09
0.6031351.5883819.608818e-09
0.6062871.5882379.658996e-09
0.6094551.5880939.709437e-09
0.6126391.5879519.760141e-09
0.615841.587819.811111e-09
0.6190581.587679.862346e-09
0.6222931.5875329.913850e-09
0.6255451.5873949.965622e-09
0.6288131.5872581.001766e-08
0.6320991.5871241.006998e-08
0.6354021.586991.012257e-08
0.6387221.5868581.017543e-08
0.6420591.5867261.022857e-08
0.6454141.5865961.028199e-08
0.6487871.5864671.033568e-08
0.651.5864211.035500e-08
0.6521771.586341.014681e-08
0.6555851.5862139.820908e-09
0.659011.5860879.493298e-09
0.6624541.5859639.163977e-09
0.6659151.5858398.832935e-09
0.6693951.5857178.500164e-09
0.6728921.5855958.165653e-09
0.6764091.5854747.829395e-09
0.6799431.5853557.491379e-09
0.6834961.5852367.151598e-09
0.6870671.5851196.810041e-09
0.6906571.5850026.466699e-09
0.6942661.5848866.121563e-09
0.6978941.5847725.774624e-09
0.71.5847065.573200e-09
0.7015411.5846585.585466e-09
0.7052061.5845455.614652e-09
0.7088911.5844335.643991e-09
0.7125951.5843215.673483e-09
0.7163191.5842115.703129e-09
0.7200621.5841015.732931e-09
0.7238241.5839925.762888e-09
0.7276061.5838845.793001e-09
0.7314081.5837775.823272e-09
0.735231.5836715.853701e-09
0.7390721.5835655.884289e-09
0.7429341.583465.915037e-09
0.7468161.5833565.945945e-09
0.7507181.5832525.977015e-09
0.7546411.583156.008248e-09
0.7585841.5830486.039643e-09
0.7625471.5829466.071203e-09
0.7665321.5828456.102928e-09
0.7705371.5827456.134818e-09
0.7745641.5826466.166875e-09
0.7786111.5825476.199099e-09
0.7826791.5824496.231492e-09
0.7867691.5823526.264054e-09
0.790881.5822556.296786e-09
0.7950121.5821586.329689e-09
0.7991671.5820636.362765e-09
0.81.5820446.369400e-09
0.8033421.5819686.635747e-09
0.807541.5818736.970242e-09
0.811761.5817797.306484e-09
0.8160011.5816857.644483e-09
0.8202651.5815927.984248e-09
0.8245511.58158.325789e-09
0.828861.5814088.669114e-09
0.8331911.5813169.014233e-09
0.8375441.5812259.361155e-09
0.8419211.5811359.709891e-09
0.846321.5810451.006045e-08
0.8507421.5809551.041284e-08
0.8551871.5808661.076707e-08
0.8596561.5807771.112315e-08
0.8641481.5806891.148109e-08
0.8686631.5806011.184090e-08
0.8732021.5805131.220260e-08
0.8777651.5804261.256618e-08
0.8823511.5803391.293166e-08
0.8869621.5802531.329905e-08
0.8915971.5801671.366836e-08
0.8962551.5800811.403961e-08
0.91.5800131.433800e-08
0.9009391.5799961.435295e-08
0.9056461.579911.442794e-08
0.9103781.5798261.450333e-08
0.9151351.5797411.457911e-08
0.9199171.5796571.465528e-08
0.9247241.5795731.473185e-08
0.9295561.579491.480882e-08
0.9344131.5794061.488620e-08
0.9392951.5793231.496398e-08
0.9442041.579241.504216e-08
0.9491371.5791581.512076e-08
0.9540971.5790751.519976e-08
0.9590821.5789931.527918e-08
0.9640931.5789111.535901e-08
0.9691311.5788291.543926e-08
0.9741951.5787481.551993e-08
0.9792851.5786661.560102e-08
0.9844021.5785851.568253e-08
0.9895461.5785041.576447e-08
0.9947171.5784231.584684e-08
0.9999141.5783421.592964e-08
11.5783411.593100e-08
1.005141.5782621.601289e-08
1.010391.5781811.609659e-08
1.015671.5781011.618071e-08
1.020981.5780211.626528e-08
1.026311.577941.635029e-08
1.031681.577861.643575e-08
1.037071.577781.652165e-08
1.042491.57771.660800e-08
1.047931.577621.669480e-08
1.053411.577541.678206e-08
1.058911.5774611.686977e-08
1.064451.5773811.695794e-08
1.070011.5773011.704657e-08
1.07561.5772211.713566e-08
1.081221.5771411.722522e-08
1.086871.5770621.731525e-08
1.092551.5769821.740575e-08
1.098261.5769021.749672e-08
1.1041.5768221.758816e-08
1.109761.5767421.768008e-08
1.115561.5766621.777249e-08
1.121391.5765821.786537e-08
1.127251.5765021.795875e-08
1.133141.5764221.805260e-08
1.139061.5763421.814695e-08
1.145011.5762611.824180e-08
1.1511.5761811.833714e-08
1.157011.57611.843297e-08
1.163061.5760191.852931e-08
1.169131.5759391.862615e-08
1.175241.5758581.872350e-08
1.181381.5757761.882135e-08
1.187561.5756951.891972e-08
1.193761.5756131.901860e-08
1.21.5755321.911800e-08
1.21.5755321.911800e-08
1.206271.575452.415216e-08
1.212571.5753682.921263e-08
1.218911.5752853.429953e-08
1.225281.5752033.941302e-08
1.231681.575124.455323e-08
1.238121.5750374.972029e-08
1.244591.5749545.491436e-08
1.251091.574876.013556e-08
1.257631.5747866.538405e-08
1.26421.5747027.065996e-08
1.27081.5746187.596344e-08
1.277441.5745338.129463e-08
1.284121.5744488.665368e-08
1.290831.5743639.204073e-08
1.297571.5742779.745593e-08
1.304351.5741911.028994e-07
1.311171.5741051.083714e-07
1.318021.5740181.138719e-07
1.324911.5739311.194012e-07
1.331831.5738441.249593e-07
1.338791.5737561.305465e-07
1.345781.5736681.361629e-07
1.352821.5735791.418087e-07
1.359891.573491.474839e-07
1.366991.57341.531888e-07
1.374131.573311.589236e-07
1.381311.573221.646882e-07
1.388531.5731291.704830e-07
1.395791.5730381.763081e-07
1.41.5729851.796900e-07
1.403081.5729461.781023e-07
1.410411.5728541.743242e-07
1.417781.5727611.705263e-07
1.425191.5726671.667086e-07
1.432641.5725731.628710e-07
1.440121.5724791.590133e-07
1.447651.5723841.551354e-07
1.455211.5722881.512373e-07
1.462821.5721921.473188e-07
1.470461.5720951.433799e-07
1.478141.5719981.394203e-07
1.485871.57191.354401e-07
1.493631.5718011.314391e-07
1.501441.5717021.274171e-07
1.509281.5716021.233742e-07
1.517171.5715021.193101e-07
1.525091.57141.152248e-07
1.533061.5712991.111182e-07
1.541071.5711961.069900e-07
1.549131.5710931.028404e-07
1.557221.5709899.866900e-08
1.565361.5708849.447583e-08
1.573541.5707789.026076e-08
1.581761.5706728.602366e-08
1.590021.5705658.176442e-08
1.598331.5704577.748293e-08
1.61.5704357.662400e-08
1.606681.5703488.032765e-08
1.615081.5702398.497890e-08
1.623521.5701298.965446e-08
1.6321.5700179.435445e-08
1.640531.5699059.907899e-08
1.64911.5697931.038282e-07
1.657721.5696791.086023e-07
1.666381.5695641.134013e-07
1.675091.5694491.182253e-07
1.683841.5693321.230746e-07
1.692641.5692151.279492e-07
1.701481.5690961.328493e-07
1.710371.5689771.377750e-07
1.719311.5688571.427264e-07
1.72831.5687351.477037e-07
1.737331.5686131.527071e-07
1.74641.5684891.577365e-07
1.755531.5683651.627922e-07
1.76471.5682391.678744e-07
1.773921.5681131.729831e-07
1.783191.5679851.781185e-07
1.792511.5678561.832807e-07
1.81.5677531.874300e-07
1.801881.5677261.899130e-07
1.811291.5675952.023674e-07
1.820761.5674632.148870e-07
1.830271.567332.274719e-07
1.839831.5671952.401227e-07
1.849451.5670592.528395e-07
1.859111.5669222.656228e-07
1.868831.5667842.784729e-07
1.878591.5666442.913901e-07
1.888411.5665033.043748e-07
1.898271.5663613.174274e-07
1.908191.5662183.305481e-07
1.918161.5660733.437374e-07
1.928191.5659273.569957e-07
1.938261.5657793.703232e-07
1.948391.565633.837204e-07
1.958571.565483.971875e-07
1.96881.5653284.107251e-07
1.979091.5651754.243333e-07
1.989431.565024.380127e-07
1.999831.5648644.517636e-07
21.5648614.519900e-07
2.010281.5647065.336112e-07
2.020781.5645466.170255e-07
2.031341.5643857.008756e-07
2.041961.5642237.851638e-07
2.052631.5640598.698924e-07
2.063351.5638939.550638e-07
2.074131.5637261.040680e-06
2.084971.5635571.126744e-06
2.095861.5633861.213258e-06
2.106821.5632131.300223e-06
2.117821.5630391.387643e-06
2.128891.5628631.475520e-06
2.140011.5626851.563856e-06
2.15121.5625061.652653e-06
2.162441.5623241.741915e-06
2.173741.5621411.831643e-06
2.18511.5619561.921839e-06
2.196511.5617682.012507e-06
2.21.5617112.040200e-06
2.207991.5615792.128949e-06
2.219531.5613882.257099e-06
2.231121.5611952.385919e-06
2.242781.5612.515412e-06
2.25451.5608032.645582e-06
2.266281.5606042.776432e-06
2.278121.5604022.907965e-06
2.290031.5601993.040186e-06
2.301991.5599933.173098e-06
2.314021.5597853.306704e-06
2.326111.5595753.441008e-06
2.338271.5593623.576014e-06
2.350491.5591483.711726e-06
2.362771.5589313.848146e-06
2.375111.5587113.985280e-06
2.387521.558494.123130e-06
2.41.5582654.261700e-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
—