Optical constants

Refractive index of BAM23 (OHARA)

BAM23: n,k 0.3–2.4 µm

Data
formula 3 + 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 320-900 nm only; k = 0 elsewhere in the n range 300-2400 nm.

At one wavelength

Range 0.3–2.4 µm
Refractive index n
1.60716
Extinction coefficient k
1.29605e-08
Permittivity ε1
2.58298
Permittivity ε2
4.16593e-08
Absorption coefficient α
0.00277172 cm⁻¹
Penetration depth δ = λ/(2πk)
7.21573e+09 nm
Abbe number Vd
40.263
Chromatic dispersion dn/dλ
-0.0766721 µm⁻¹
Group index ng
1.65222
Group velocity dispersion
147.192 fs²/mm
Dispersion parameter D
-803.01 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

# BAM23 (OHARA): BAM23
ohara_bam23 = ls.fetch_refractiveindex("specs", "OHARA-optical", "BAM23", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_bam23.range_nm)  # (300, 2400) nm
eps = ohara_bam23.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

Polynomial (formula 3), λ in µm
n2=2.5222179−0.0087270222⁢λ2.0+0.020177286⁢λ−2.0+0.00061839451⁢λ−4.0+1.8063926×10-7⁢λ−6.0+2.0159505×10-6⁢λ−8.0

Valid from 0.3 to 2.4 µm.

Coefficients as stored
CiValue
C12.5222179
C2-0.0087270222
C32.0
C40.020177286
C5-2.0
C60.00061839451
C7-4.0
C81.8063926e-07
C9-6.0
C102.0159505e-06
C11-8.0

Comments and conditions

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 2.923e-06 0.0 0.0 0.0 0.0 0.0
nd
1.607167
Vd
40.263160
glass code
607403
glass status
preferred
density
value: 3480
thermal expansion
value: 8.9e-06, temperature range: 243 343; value: 1.03e-05, temperature range: 293 573
dPgF
0.0008
resistance
acid: 1.0; phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 1.43e-06 K⁻¹ at 633 nm, dn/dT = 1.40e-06 K⁻¹ at 1310 nm, dn/dT = 1.39e-06 K⁻¹ at 1550 nm
Notes on the source data (kept exactly as published):
  • k data cover 320-900 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 419 wavelengths, the same grid as the API and the library
BAM23 (OHARA), BAM23: n and k versus wavelength
λ (µm)nk
0.31.6890660
0.3015681.6875350
0.3031431.6860340
0.3047271.6845630
0.306321.6831220
0.307921.6817080
0.3095291.6803220
0.3111471.6789630
0.3127721.677630
0.3144071.6763220
0.3160491.675040
0.3177011.6737810
0.3193611.6725460
0.321.6720785.863500e-06
0.321031.6713345.458192e-06
0.3227071.6701444.797929e-06
0.3243931.6689764.134215e-06
0.3260881.667833.467033e-06
0.3277921.6667042.796365e-06
0.3295051.6655982.122193e-06
0.331.6652831.927400e-06
0.3312271.6645121.786430e-06
0.3329581.6634461.587561e-06
0.3346971.6623981.387653e-06
0.3364461.6613691.186700e-06
0.3382041.6603579.846977e-07
0.3399711.6593637.816397e-07
0.341.6593487.783600e-07
0.3417481.6583877.101067e-07
0.3435341.6574276.403764e-07
0.3453291.6564835.702817e-07
0.3471331.6555554.998207e-07
0.3489471.6546434.289916e-07
0.351.6541223.878700e-07
0.350771.6537463.737705e-07
0.3526031.6528643.402200e-07
0.3544461.6519963.064943e-07
0.3562981.6511432.725923e-07
0.3581591.6503042.385131e-07
0.361.6494922.048200e-07
0.3600311.6494782.045876e-07
0.3619121.6486661.904011e-07
0.3638031.6478661.761405e-07
0.3657041.647081.618054e-07
0.3676151.6463061.473954e-07
0.3695361.6455441.329101e-07
0.371.6453621.294100e-07
0.3714671.6447941.239385e-07
0.3734081.6440551.166980e-07
0.3753591.6433291.094196e-07
0.377321.6426131.021032e-07
0.3792921.6419089.474862e-08
0.381.6416599.210700e-08
0.3812741.6412158.836132e-08
0.3832661.6405318.250272e-08
0.3852691.6398587.661351e-08
0.3872821.6391957.069353e-08
0.3893051.6385436.474261e-08
0.391.6383216.270000e-08
0.391341.6378995.988039e-08
0.3933841.6372665.557640e-08
0.395441.6366415.124993e-08
0.3975061.6360264.690085e-08
0.3995831.635424.252904e-08
0.41.63534.165200e-08
0.4016711.6348234.069639e-08
0.403771.6342343.949628e-08
0.405881.6336543.828990e-08
0.4080011.6330823.707722e-08
0.4101331.6325183.585820e-08
0.4122761.6319633.463281e-08
0.414431.6314153.340101e-08
0.4165951.6308753.216278e-08
0.4187721.6303423.091808e-08
0.421.6300463.021600e-08
0.420961.6298173.028510e-08
0.423161.6292993.044336e-08
0.4253711.6287883.060245e-08
0.4275941.6282853.076237e-08
0.4298281.6277883.092313e-08
0.4320741.6272983.108472e-08
0.4343321.6268153.124716e-08
0.4366011.6263383.141045e-08
0.4388821.6258683.157459e-08
0.441.6256413.165500e-08
0.4411761.6254043.130574e-08
0.4434811.6249473.062097e-08
0.4457981.6244952.993262e-08
0.4481281.6240492.924067e-08
0.4504691.623612.854511e-08
0.4528231.6231762.784591e-08
0.4551891.6227482.714305e-08
0.4575681.6223252.643653e-08
0.4599591.6219082.572631e-08
0.461.6219012.571400e-08
0.4623621.6214972.493834e-08
0.4647781.621092.414494e-08
0.4672061.6206892.334740e-08
0.4696481.6202932.254568e-08
0.4721021.6199032.173978e-08
0.4745691.6195172.092967e-08
0.4770481.6191362.011533e-08
0.4795411.618761.929673e-08
0.481.6186911.914600e-08
0.4820471.6183891.881862e-08
0.4845661.6180221.841574e-08
0.4870981.617661.801075e-08
0.4896431.6173021.760365e-08
0.4922011.6169491.719442e-08
0.4947731.6166011.678305e-08
0.4973581.6162561.636953e-08
0.4999571.6159161.595385e-08
0.51.6159111.594700e-08
0.502571.615581.557776e-08
0.5051961.6152481.520042e-08
0.5078351.6149211.482110e-08
0.5104891.6145971.443980e-08
0.5131561.6142771.405650e-08
0.5158381.6139611.367121e-08
0.5185331.6136491.328390e-08
0.5212431.6133411.289457e-08
0.5239661.6130361.250320e-08
0.5267041.6127351.210979e-08
0.5294561.6124371.171432e-08
0.5322231.6121431.131678e-08
0.5350041.6118531.091717e-08
0.5377991.6115661.051547e-08
0.5406091.6112821.011167e-08
0.5434341.6110029.705766e-09
0.5462741.6107259.297737e-09
0.5491281.6104518.887575e-09
0.551.6103688.762300e-09
0.5519981.610188.985330e-09
0.5548821.6099129.307375e-09
0.5577811.6096489.631104e-09
0.5606961.6093869.956524e-09
0.5636261.6091281.028364e-08
0.5665711.6088721.061247e-08
0.5695311.608621.094302e-08
0.5725071.608371.127530e-08
0.5754981.6081231.160931e-08
0.5785061.6078791.194506e-08
0.5815281.6076371.228258e-08
0.5845671.6073991.262185e-08
0.5876221.6071631.296290e-08
0.5906921.6069291.330573e-08
0.5937791.6066981.365035e-08
0.5968811.606471.399677e-08
0.61.6062441.434500e-08
0.6031351.6060211.474548e-08
0.6062871.60581.514806e-08
0.6094551.6055811.555274e-08
0.6126391.6053651.595953e-08
0.615841.6051511.636845e-08
0.6190581.6049391.677951e-08
0.6222931.604731.719271e-08
0.6255451.6045231.760807e-08
0.6288131.6043181.802561e-08
0.6320991.6041161.844532e-08
0.6354021.6039151.886723e-08
0.6387221.6037171.929134e-08
0.6420591.603521.971767e-08
0.6454141.6033262.014623e-08
0.6487871.6031342.057703e-08
0.651.6030652.073200e-08
0.6521771.6029432.055803e-08
0.6555851.6027552.028568e-08
0.659011.6025682.001190e-08
0.6624541.6023841.973670e-08
0.6659151.6022011.946006e-08
0.6693951.602021.918197e-08
0.6728921.6018411.890243e-08
0.6764091.6016641.862143e-08
0.6799431.6014891.833896e-08
0.6834961.6013151.805502e-08
0.6870671.6011431.776959e-08
0.6906571.6009731.748267e-08
0.6942661.6008041.719425e-08
0.6978941.6006371.690432e-08
0.71.6005411.673600e-08
0.7015411.6004721.667452e-08
0.7052061.6003081.652822e-08
0.7088911.6001461.638116e-08
0.7125951.5999851.623332e-08
0.7163191.5998261.608472e-08
0.7200621.5996681.593534e-08
0.7238241.5995121.578518e-08
0.7276061.5993571.563423e-08
0.7314081.5992041.548250e-08
0.735231.5990521.532997e-08
0.7390721.5989021.517665e-08
0.7429341.5987531.502252e-08
0.7468161.5986051.486759e-08
0.7507181.5984591.471185e-08
0.7546411.5983131.455530e-08
0.7585841.598171.439792e-08
0.7625471.5980271.423973e-08
0.7665321.5978861.408071e-08
0.7705371.5977461.392086e-08
0.7745641.5976071.376017e-08
0.7786111.5974691.359864e-08
0.7826791.5973331.343627e-08
0.7867691.5971981.327305e-08
0.790881.5970641.310898e-08
0.7950121.5969311.294405e-08
0.7991671.5967991.277826e-08
0.81.5967721.274500e-08
0.8033421.5966681.279825e-08
0.807541.5965381.286511e-08
0.811761.5964091.293233e-08
0.8160011.5962821.299990e-08
0.8202651.5961551.306782e-08
0.8245511.5960291.313610e-08
0.828861.5959051.320473e-08
0.8331911.5957811.327373e-08
0.8375441.5956581.334308e-08
0.8419211.5955371.341280e-08
0.846321.5954161.348288e-08
0.8507421.5952961.355332e-08
0.8551871.5951771.362414e-08
0.8596561.5950581.369532e-08
0.8641481.5949411.376688e-08
0.8686631.5948251.383881e-08
0.8732021.5947091.391111e-08
0.8777651.5945941.398380e-08
0.8823511.594481.405686e-08
0.8869621.5943671.413030e-08
0.8915971.5942541.420413e-08
0.8962551.5941421.427835e-08
0.91.5940541.433800e-08
0.9009391.5940310
0.9056461.5939210
0.9103781.5938120
0.9151351.5937030
0.9199171.5935950
0.9247241.5934870
0.9295561.593380
0.9344131.5932740
0.9392951.5931680
0.9442041.5930640
0.9491371.5929590
0.9540971.5928560
0.9590821.5927520
0.9640931.592650
0.9691311.5925480
0.9741951.5924460
0.9792851.5923450
0.9844021.5922450
0.9895461.5921450
0.9947171.5920460
0.9999141.5919470
1.005141.5918480
1.010391.591750
1.015671.5916530
1.020981.5915550
1.026311.5914590
1.031681.5913620
1.037071.5912660
1.042491.5911710
1.047931.5910760
1.053411.5909810
1.058911.5908870
1.064451.5907930
1.070011.5906990
1.07561.5906050
1.081221.5905120
1.086871.5904190
1.092551.5903270
1.098261.5902350
1.1041.5901430
1.109761.5900510
1.115561.5899590
1.121391.5898680
1.127251.5897770
1.133141.5896860
1.139061.5895960
1.145011.5895050
1.1511.5894150
1.157011.5893250
1.163061.5892350
1.169131.5891450
1.175241.5890560
1.181381.5889660
1.187561.5888770
1.193761.5887870
1.21.5886980
1.206271.5886090
1.212571.588520
1.218911.5884310
1.225281.5883420
1.231681.5882530
1.238121.5881640
1.244591.5880760
1.251091.5879870
1.257631.5878980
1.26421.5878090
1.27081.587720
1.277441.5876310
1.284121.5875430
1.290831.5874540
1.297571.5873650
1.304351.5872760
1.311171.5871860
1.318021.5870970
1.324911.5870080
1.331831.5869180
1.338791.5868290
1.345781.5867390
1.352821.5866490
1.359891.5865590
1.366991.5864690
1.374131.5863790
1.381311.5862890
1.388531.5861980
1.395791.5861070
1.403081.5860160
1.410411.5859250
1.417781.5858330
1.425191.5857410
1.432641.5856490
1.440121.5855570
1.447651.5854650
1.455211.5853720
1.462821.5852790
1.470461.5851850
1.478141.5850910
1.485871.5849970
1.493631.5849030
1.501441.5848080
1.509281.5847130
1.517171.5846180
1.525091.5845220
1.533061.5844250
1.541071.5843290
1.549131.5842320
1.557221.5841340
1.565361.5840360
1.573541.5839380
1.581761.5838390
1.590021.583740
1.598331.583640
1.606681.583540
1.615081.5834390
1.623521.5833380
1.6321.5832360
1.640531.5831340
1.64911.5830310
1.657721.5829280
1.666381.5828240
1.675091.5827190
1.683841.5826140
1.692641.5825080
1.701481.5824020
1.710371.5822950
1.719311.5821870
1.72831.5820790
1.737331.581970
1.74641.5818610
1.755531.581750
1.76471.5816390
1.773921.5815280
1.783191.5814150
1.792511.5813020
1.801881.5811880
1.811291.5810740
1.820761.5809580
1.830271.5808420
1.839831.5807250
1.849451.5806070
1.859111.5804890
1.868831.5803690
1.878591.5802490
1.888411.5801280
1.898271.5800060
1.908191.5798830
1.918161.5797590
1.928191.5796340
1.938261.5795080
1.948391.5793820
1.958571.5792540
1.96881.5791250
1.979091.5789960
1.989431.5788650
1.999831.5787340
2.010281.5786010
2.020781.5784670
2.031341.5783320
2.041961.5781970
2.052631.578060
2.063351.5779220
2.074131.5777830
2.084971.5776420
2.095861.5775010
2.106821.5773580
2.117821.5772140
2.128891.5770690
2.140011.5769230
2.15121.5767760
2.162441.5766270
2.173741.5764770
2.18511.5763260
2.196511.5761730
2.207991.5760190
2.219531.5758640
2.231121.5757070
2.242781.5755490
2.25451.575390
2.266281.5752290
2.278121.5750670
2.290031.5749040
2.301991.5747390
2.314021.5745720
2.326111.5744040
2.338271.5742340
2.350491.5740630
2.362771.5738910
2.375111.5737160
2.387521.5735410
2.41.5733630

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
—