Optical constants

Refractive index of BPH5 (OHARA)

BPH5: 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. Note: k data cover 330-2400 nm only; k = 0 elsewhere in the n range 300-2400 nm.

At one wavelength

Range 0.3–2.4 µm
Refractive index n
1.65411
Extinction coefficient k
9.36134e-09
Permittivity ε1
2.73609
Permittivity ε2
3.09694e-08
Absorption coefficient α
0.00200201 cm⁻¹
Penetration depth δ = λ/(2πk)
9.98996e+09 nm
Abbe number Vd
39.688
Chromatic dispersion dn/dλ
-0.0840826 µm⁻¹
Group index ng
1.70352
Group velocity dispersion
157.313 fs²/mm
Dispersion parameter D
-858.228 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

# BPH5 (OHARA): BPH5
ohara_bph5 = ls.fetch_refractiveindex("specs", "OHARA-optical", "BPH5", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_bph5.range_nm)  # (300, 2400) nm
eps = ohara_bph5.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=1.44845677λ2λ2−0.0092817361+0.22044806λ2λ2−0.0433001987+0.99476362λ2λ2−77.6475264

Valid from 0.3 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.44845677
C30.0092817361
C40.22044806
C50.0433001987
C60.99476362
C777.6475264

Comments and conditions

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 9.679e-06 0.0 0.0 0.0 0.0 0.0
nd
1.654115
Vd
39.687638
glass code
654397
glass status
preferred
density
value: 3490
thermal expansion
value: 4.6e-06, temperature range: 243 343; value: 5.7e-06, temperature range: 293 573
dPgF
-0.0065
resistance
acid: 52.2; phosphate: 4.2

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 5.06e-06 K⁻¹ at 633 nm, dn/dT = 4.93e-06 K⁻¹ at 1310 nm, dn/dT = 4.90e-06 K⁻¹ at 1550 nm
Notes on the source data (kept exactly as published):
  • k data cover 330-2400 nm only; k = 0 elsewhere in the n range 300-2400 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 425 wavelengths, the same grid as the API and the library
BPH5 (OHARA), BPH5: n and k versus wavelength
λ (µm)nk
0.31.7431890
0.3015681.7414720
0.3031431.7397950
0.3047271.7381550
0.306321.7365510
0.307921.7349830
0.3095291.7334480
0.3111471.7319460
0.3127721.7304760
0.3144071.7290360
0.3160491.7276260
0.3177011.7262440
0.3193611.7248910
0.321031.7235640
0.3227071.7222640
0.3243931.7209890
0.3260881.7197390
0.3277921.7185120
0.3295051.7173090
0.331.7169676.046700e-06
0.3312271.7161295.693624e-06
0.3329581.714975.195534e-06
0.3346971.7138334.694842e-06
0.3364461.7127164.191534e-06
0.3382041.711623.685596e-06
0.3399711.7105433.177014e-06
0.341.7105263.168800e-06
0.3417481.7094862.924008e-06
0.3435341.7084472.673919e-06
0.3453291.7074272.422523e-06
0.3471331.7064242.169813e-06
0.3489471.7054381.915783e-06
0.351.7048761.768300e-06
0.350771.7044691.710801e-06
0.3526031.7035171.573978e-06
0.3544461.7025811.436440e-06
0.3562981.701661.298183e-06
0.3581591.7007551.159205e-06
0.361.6998791.021800e-06
0.3600311.6998641.020563e-06
0.3619121.6989889.450575e-07
0.3638031.6981278.691572e-07
0.3657041.6972797.928604e-07
0.3676151.6964457.161649e-07
0.3695361.6956246.390686e-07
0.371.6954286.204400e-07
0.3714671.6948165.811231e-07
0.3734081.6940215.290945e-07
0.3753591.6932384.767941e-07
0.377321.6924674.242204e-07
0.3792921.6917083.713720e-07
0.381.6914393.523900e-07
0.3812741.6909613.344953e-07
0.3832661.6902253.065062e-07
0.3852691.68952.783709e-07
0.3872821.6887862.500886e-07
0.3893051.6880832.216585e-07
0.391.6878452.119000e-07
0.391341.6873912.018100e-07
0.3933841.6867081.864083e-07
0.395441.6860361.709261e-07
0.3975061.6853731.553629e-07
0.3995831.684721.397185e-07
0.41.6845911.365800e-07
0.4016711.6840771.302401e-07
0.403771.6834431.222781e-07
0.405881.6828181.142745e-07
0.4080011.6822011.062291e-07
0.4101331.6815949.814159e-08
0.4122761.6809959.001186e-08
0.414431.6804058.183965e-08
0.4165951.6798227.362474e-08
0.4187721.6792486.536690e-08
0.421.6789296.070900e-08
0.420961.6786825.948366e-08
0.423161.6781245.667706e-08
0.4253711.6775735.385579e-08
0.4275941.677035.101978e-08
0.4298281.6764944.816895e-08
0.4320741.6759654.530323e-08
0.4343321.6754444.242253e-08
0.4366011.674933.952678e-08
0.4388821.6744223.661590e-08
0.441.6741773.519000e-08
0.4411761.6739213.441636e-08
0.4434811.6734273.289951e-08
0.4457981.6729393.137473e-08
0.4481281.6724582.984198e-08
0.4504691.6719832.830123e-08
0.4528231.6715142.675242e-08
0.4551891.6710512.519552e-08
0.4575681.6705952.363049e-08
0.4599591.6701442.205727e-08
0.461.6701362.203000e-08
0.4623621.6696992.123639e-08
0.4647781.6692592.042463e-08
0.4672061.6688251.960863e-08
0.4696481.6683971.878836e-08
0.4721021.6679741.796381e-08
0.4745691.6675561.713495e-08
0.4770481.6671441.630176e-08
0.4795411.6667371.546422e-08
0.481.6666621.531000e-08
0.4820471.6663341.496666e-08
0.4845661.6659371.454413e-08
0.4870981.6655451.411939e-08
0.4896431.6651571.369243e-08
0.4922011.6647741.326325e-08
0.4947731.6643961.283182e-08
0.4973581.6640221.239813e-08
0.4999571.6636531.196218e-08
0.51.6636471.195500e-08
0.502571.6632891.179092e-08
0.5051961.6629281.162324e-08
0.5078351.6625721.145468e-08
0.5104891.6622211.128524e-08
0.5131561.6618731.111491e-08
0.5158381.661531.094370e-08
0.5185331.661191.077159e-08
0.5212431.6608551.059858e-08
0.5239661.6605231.042466e-08
0.5267041.6601961.024984e-08
0.5294561.6598721.007410e-08
0.5322231.6595529.897449e-09
0.5350041.6592359.719871e-09
0.5377991.6589229.541366e-09
0.5406091.6586139.361928e-09
0.5434341.6583089.181553e-09
0.5462741.6580059.000235e-09
0.5491281.6577068.817969e-09
0.551.6576168.762300e-09
0.5519981.6574118.794124e-09
0.5548821.6571198.840077e-09
0.5577811.656838.886270e-09
0.5606961.6565448.932705e-09
0.5636261.6562628.979382e-09
0.5665711.6559829.026303e-09
0.5695311.6557069.073469e-09
0.5725071.6554339.120881e-09
0.5754981.6551629.168542e-09
0.5785061.6548959.216451e-09
0.5815281.654639.264611e-09
0.5845671.6543699.313022e-09
0.5876221.654119.361687e-09
0.5906921.6538549.410605e-09
0.5937791.65369.459779e-09
0.5968811.653359.509211e-09
0.61.6531029.558900e-09
0.6031351.6528569.284023e-09
0.6062871.6526139.007710e-09
0.6094551.6523738.729953e-09
0.6126391.6521358.450745e-09
0.615841.65198.170078e-09
0.6190581.6516677.887944e-09
0.6222931.6514367.604337e-09
0.6255451.6512087.319247e-09
0.6288131.6509827.032667e-09
0.6320991.6507586.744590e-09
0.6354021.6505376.455008e-09
0.6387221.6503186.163913e-09
0.6420591.65015.871297e-09
0.6454141.6498865.577151e-09
0.6487871.6496735.281469e-09
0.651.6495975.175100e-09
0.6521771.6494625.192432e-09
0.6555851.6492535.219565e-09
0.659011.6490475.246839e-09
0.6624541.6488425.274256e-09
0.6659151.6486395.301817e-09
0.6693951.6484395.329521e-09
0.6728921.648245.357370e-09
0.6764091.6480435.385365e-09
0.6799431.6478485.413505e-09
0.6834961.6476545.441793e-09
0.6870671.6474635.470229e-09
0.6906571.6472735.498813e-09
0.6942661.6470855.527547e-09
0.6978941.6468995.556431e-09
0.71.6467925.573200e-09
0.7015411.6467145.585466e-09
0.7052061.6465315.614652e-09
0.7088911.646355.643991e-09
0.7125951.646175.673483e-09
0.7163191.6459925.703129e-09
0.7200621.6458155.732931e-09
0.7238241.645645.762888e-09
0.7276061.6454665.793001e-09
0.7314081.6452945.823272e-09
0.735231.6451245.853701e-09
0.7390721.6449555.884289e-09
0.7429341.6447875.915037e-09
0.7468161.644625.945945e-09
0.7507181.6444555.977015e-09
0.7546411.6442926.008248e-09
0.7585841.6441296.039643e-09
0.7625471.6439686.071203e-09
0.7665321.6438086.102928e-09
0.7705371.643656.134818e-09
0.7745641.6434936.166875e-09
0.7786111.6433376.199099e-09
0.7826791.6431826.231492e-09
0.7867691.6430286.264054e-09
0.790881.6428756.296786e-09
0.7950121.6427246.329689e-09
0.7991671.6425746.362765e-09
0.81.6425446.369400e-09
0.8033421.6424256.635747e-09
0.807541.6422766.970242e-09
0.811761.6421297.306484e-09
0.8160011.6419837.644483e-09
0.8202651.6418387.984248e-09
0.8245511.6416948.325789e-09
0.828861.6415518.669114e-09
0.8331911.6414099.014233e-09
0.8375441.6412689.361155e-09
0.8419211.6411289.709891e-09
0.846321.6409891.006045e-08
0.8507421.640851.041284e-08
0.8551871.6407131.076707e-08
0.8596561.6405761.112315e-08
0.8641481.640441.148109e-08
0.8686631.6403051.184090e-08
0.8732021.6401711.220260e-08
0.8777651.6400381.256618e-08
0.8823511.6399051.293166e-08
0.8869621.6397731.329905e-08
0.8915971.6396421.366836e-08
0.8962551.6395121.403961e-08
0.91.6394081.433800e-08
0.9009391.6393821.435295e-08
0.9056461.6392531.442794e-08
0.9103781.6391251.450333e-08
0.9151351.6389971.457911e-08
0.9199171.638871.465528e-08
0.9247241.6387441.473185e-08
0.9295561.6386181.480882e-08
0.9344131.6384931.488620e-08
0.9392951.6383681.496398e-08
0.9442041.6382441.504216e-08
0.9491371.638121.512076e-08
0.9540971.6379971.519976e-08
0.9590821.6378751.527918e-08
0.9640931.6377531.535901e-08
0.9691311.6376311.543926e-08
0.9741951.637511.551993e-08
0.9792851.637391.560102e-08
0.9844021.637271.568253e-08
0.9895461.637151.576447e-08
0.9947171.6370311.584684e-08
0.9999141.6369121.592964e-08
11.636911.593100e-08
1.005141.6367931.576714e-08
1.010391.6366751.559968e-08
1.015671.6365571.543134e-08
1.020981.636441.526213e-08
1.026311.6363231.509203e-08
1.031681.6362061.492104e-08
1.037071.636091.474916e-08
1.042491.6359731.457638e-08
1.047931.6358581.440270e-08
1.053411.6357421.422811e-08
1.058911.6356261.405261e-08
1.064451.6355111.387619e-08
1.070011.6353961.369885e-08
1.07561.6352811.352058e-08
1.081221.6351671.334138e-08
1.086871.6350521.316124e-08
1.092551.6349381.298017e-08
1.098261.6348241.279815e-08
1.1041.634711.261517e-08
1.109761.6345961.243124e-08
1.115561.6344821.224635e-08
1.121391.6343691.206049e-08
1.127251.6342551.187366e-08
1.133141.6341421.168586e-08
1.139061.6340281.149707e-08
1.145011.6339151.130730e-08
1.1511.6338011.111654e-08
1.157011.6336881.092478e-08
1.163061.6335741.073201e-08
1.169131.6334611.053824e-08
1.175241.6333471.034346e-08
1.181381.6332341.014766e-08
1.187561.633129.950838e-09
1.193761.6330079.752986e-09
1.21.6328939.554100e-09
1.21.6328939.554100e-09
1.206271.6327792.061444e-08
1.212571.6326653.173257e-08
1.218911.6325514.290880e-08
1.225281.6324375.414343e-08
1.231681.6323226.543676e-08
1.238121.6322087.678910e-08
1.244591.6320938.820075e-08
1.251091.6319789.967204e-08
1.257631.6318631.112033e-07
1.26421.6317471.227948e-07
1.27081.6316321.344468e-07
1.277441.6315161.461597e-07
1.284121.63141.579339e-07
1.290831.6312831.697695e-07
1.297571.6311671.816670e-07
1.304351.631051.936267e-07
1.311171.6309322.056489e-07
1.318021.6308152.177338e-07
1.324911.6306962.298820e-07
1.331831.6305782.420936e-07
1.338791.6304592.543690e-07
1.345781.630342.667086e-07
1.352821.630222.791126e-07
1.359891.63012.915814e-07
1.366991.629983.041154e-07
1.374131.6298593.167149e-07
1.381311.6297373.293803e-07
1.388531.6296163.421118e-07
1.395791.6294933.549098e-07
1.41.6294223.623400e-07
1.403081.629373.601212e-07
1.410411.6292473.548415e-07
1.417781.6291233.495342e-07
1.425191.6289983.441991e-07
1.432641.6288733.388362e-07
1.440121.6287473.334452e-07
1.447651.6286213.280261e-07
1.455211.6284943.225787e-07
1.462821.6283663.171028e-07
1.470461.6282383.115983e-07
1.478141.6281093.060650e-07
1.485871.627983.005028e-07
1.493631.6278492.949116e-07
1.501441.6277182.892911e-07
1.509281.6275862.836413e-07
1.517171.6274542.779619e-07
1.525091.627322.722529e-07
1.533061.6271862.665140e-07
1.541071.6270512.607452e-07
1.549131.6269162.549462e-07
1.557221.6267792.491169e-07
1.565361.6266422.432571e-07
1.573541.6265032.373667e-07
1.581761.6263642.314456e-07
1.590021.6262242.254935e-07
1.598331.6260832.195103e-07
1.61.6260552.183100e-07
1.606681.6259412.255962e-07
1.615081.6257982.347467e-07
1.623521.6256542.439450e-07
1.6321.6255092.531913e-07
1.640531.6253632.624860e-07
1.64911.6252162.718292e-07
1.657721.6250682.812213e-07
1.666381.6249192.906624e-07
1.675091.6247683.001528e-07
1.683841.6246173.096929e-07
1.692641.6244643.192828e-07
1.701481.6243113.289228e-07
1.710371.6241563.386131e-07
1.719311.6243.483541e-07
1.72831.6238423.581461e-07
1.737331.6236843.679891e-07
1.74641.6235243.778836e-07
1.755531.6233633.878298e-07
1.76471.62323.978280e-07
1.773921.6230374.078784e-07
1.783191.6228724.179814e-07
1.792511.6227054.281371e-07
1.81.6225714.363000e-07
1.801881.6225374.444980e-07
1.811291.6223684.856190e-07
1.820761.6221975.269549e-07
1.830271.6220255.685068e-07
1.839831.6218516.102759e-07
1.849451.6216766.522631e-07
1.859111.6214996.944698e-07
1.868831.6213217.368970e-07
1.878591.6211417.795459e-07
1.888411.6209598.224176e-07
1.898271.6207768.655134e-07
1.908191.6205919.088343e-07
1.918161.6204059.523816e-07
1.928191.6202169.961565e-07
1.938261.6200261.040160e-06
1.948391.6198351.084394e-06
1.958571.6196411.128858e-06
1.96881.6194461.173555e-06
1.979091.6192481.218486e-06
1.989431.6190491.263651e-06
1.999831.6188481.309052e-06
21.6188451.309800e-06
2.010281.6186451.525641e-06
2.020781.618441.746224e-06
2.031341.6182331.967959e-06
2.041961.6180242.190853e-06
2.052631.6178132.414911e-06
2.063351.6175992.640140e-06
2.074131.6173842.866546e-06
2.084971.6171663.094135e-06
2.095861.6169473.322914e-06
2.106821.6167253.552887e-06
2.117821.6165013.784063e-06
2.128891.6162744.016446e-06
2.140011.6160454.250044e-06
2.15121.6158144.484862e-06
2.162441.615584.720907e-06
2.173741.6153444.958186e-06
2.18511.6151065.196704e-06
2.196511.6148655.436469e-06
2.21.6147915.509700e-06
2.207991.6146215.865668e-06
2.219531.6143756.379670e-06
2.231121.6141266.896359e-06
2.242781.6138757.415747e-06
2.25451.613627.937849e-06
2.266281.6133638.462680e-06
2.278121.6131048.990253e-06
2.290031.6128419.520582e-06
2.301991.6125761.005368e-05
2.314021.6123071.058957e-05
2.326111.6120361.112825e-05
2.338271.6117621.166976e-05
2.350491.6114851.221409e-05
2.362771.6112041.276126e-05
2.375111.610921.331130e-05
2.387521.6106341.386420e-05
2.41.6103441.442000e-05

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
—