Optical constants

Refractive index of S-BAH54 (OHARA)

S-BAH54: 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 330-700 nm only; k = 0 elsewhere in the n range 300-2400 nm.

At one wavelength

Range 0.3–2.4 µm
Refractive index n
1.695
Extinction coefficient k
1.40486e-08
Permittivity ε1
2.87302
Permittivity ε2
4.76248e-08
Absorption coefficient α
0.00300443 cm⁻¹
Penetration depth δ = λ/(2πk)
6.65683e+09 nm
Abbe number Vd
42.167
Chromatic dispersion dn/dλ
-0.0841026 µm⁻¹
Group index ng
1.74442
Group velocity dispersion
158.186 fs²/mm
Dispersion parameter D
-862.99 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-BAH54 (OHARA): S-BAH54
ohara_s_bah54 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-BAH54", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_bah54.range_nm)  # (300, 2400) nm
eps = ohara_s_bah54.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=2.802774−0.011441428⁢λ2.0+0.023830231⁢λ−2.0+0.00057322688⁢λ−4.0+1.1516047×10-5⁢λ−6.0+1.2065896×10-6⁢λ−8.0

Valid from 0.3 to 2.4 µm.

Coefficients as stored
CiValue
C12.802774
C2-0.011441428
C32.0
C40.023830231
C5-2.0
C60.00057322688
C7-4.0
C81.1516047e-05
C9-6.0
C101.2065896e-06
C11-8.0

Comments and conditions

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 8.228e-06 0.0 0.0 0.0 0.0 0.0
nd
1.695000
Vd
42.167111
glass code
695422
glass status
preferred
density
value: 3300
thermal expansion
value: 6.6e-06, temperature range: 243 343; value: 8.1e-06, temperature range: 293 573
dPgF
-0.0039
resistance
acid: 1.0; phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 4.53e-06 K⁻¹ at 633 nm, dn/dT = 4.42e-06 K⁻¹ at 1310 nm, dn/dT = 4.40e-06 K⁻¹ at 1550 nm
Notes on the source data (kept exactly as published):
  • k data cover 330-700 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 416 wavelengths, the same grid as the API and the library
S-BAH54 (OHARA), S-BAH54: n and k versus wavelength
λ (µm)nk
0.31.7808650
0.3015681.7793330
0.3031431.7778290
0.3047271.7763530
0.306321.7749030
0.307921.7734790
0.3095291.772080
0.3111471.7707070
0.3127721.7693570
0.3144071.7680310
0.3160491.7667290
0.3177011.7654480
0.3193611.764190
0.321031.7629540
0.3227071.7617380
0.3243931.7605440
0.3260881.7593690
0.3277921.7582140
0.3295051.7570780
0.331.7567556.323400e-06
0.3312271.7559615.905718e-06
0.3329581.7548635.316487e-06
0.3346971.7537824.724179e-06
0.3364461.752724.128775e-06
0.3382041.7516743.530260e-06
0.3399711.7506452.928617e-06
0.341.7506292.918900e-06
0.3417481.7496332.665578e-06
0.3435341.7486372.406775e-06
0.3453291.7476572.146619e-06
0.3471331.7466931.885104e-06
0.3489471.7457431.622222e-06
0.351.7452011.469600e-06
0.350771.7448091.414076e-06
0.3526031.7438891.281955e-06
0.3544461.7429831.149143e-06
0.3562981.7420911.015637e-06
0.3581591.7412138.814334e-07
0.361.7403637.487500e-07
0.3600311.7403497.477062e-07
0.3619121.7394976.839865e-07
0.3638031.7386596.199339e-07
0.3657041.7378335.555466e-07
0.3676151.7370194.908228e-07
0.3695361.7362184.257608e-07
0.371.7360264.100400e-07
0.3714671.7354283.849552e-07
0.3734081.734653.517602e-07
0.3753591.7338843.183917e-07
0.377321.7331292.848489e-07
0.3792921.7323842.511308e-07
0.381.7321212.390200e-07
0.3812741.7316512.276048e-07
0.3832661.7309282.097503e-07
0.3852691.7302161.918025e-07
0.3872821.7295141.737609e-07
0.3893051.7288221.556250e-07
0.391.7285871.494000e-07
0.391341.7281391.432539e-07
0.3933841.7274671.338721e-07
0.395441.7268041.244414e-07
0.3975061.726151.149613e-07
0.3995831.7255051.054318e-07
0.41.7253771.035200e-07
0.4016711.7248691.007971e-07
0.403771.7242429.737763e-08
0.405881.7236249.394025e-08
0.4080011.7230149.048491e-08
0.4101331.7224138.701151e-08
0.4122761.721828.351996e-08
0.414431.7212358.001017e-08
0.4165951.7206577.648204e-08
0.4187721.7200887.293547e-08
0.421.7197717.093500e-08
0.420961.7195267.041166e-08
0.423161.7189726.921298e-08
0.4253711.7184256.800804e-08
0.4275941.7178856.679680e-08
0.4298281.7173536.557923e-08
0.4320741.7168276.435529e-08
0.4343321.7163096.312497e-08
0.4366011.7157976.188821e-08
0.4388821.7152926.064499e-08
0.441.7150486.003600e-08
0.4411761.7147935.932250e-08
0.4434811.7143015.792356e-08
0.4457981.7138155.651731e-08
0.4481281.7133365.510371e-08
0.4504691.7128635.368273e-08
0.4528231.7123955.225432e-08
0.4551891.7119345.081845e-08
0.4575681.7114784.937507e-08
0.4599591.7110294.792415e-08
0.461.7110214.789900e-08
0.4623621.7105844.677590e-08
0.4647781.7101464.562711e-08
0.4672061.7097134.447232e-08
0.4696481.7092854.331150e-08
0.4721021.7088634.214462e-08
0.4745691.7084464.097163e-08
0.4770481.7080343.979252e-08
0.4795411.7076273.860724e-08
0.481.7075533.838900e-08
0.4820471.7072253.732071e-08
0.4845661.7068283.600601e-08
0.4870981.7064363.468445e-08
0.4896431.7060483.335599e-08
0.4922011.7056653.202058e-08
0.4947731.7052873.067819e-08
0.4973581.7049142.932879e-08
0.4999571.7045452.797234e-08
0.51.7045392.795000e-08
0.502571.704182.718940e-08
0.5051961.703822.641209e-08
0.5078351.7034642.563072e-08
0.5104891.7031122.484526e-08
0.5131561.7027642.405571e-08
0.5158381.702422.326202e-08
0.5185331.7020812.246419e-08
0.5212431.7017452.166219e-08
0.5239661.7014132.085600e-08
0.5267041.7010852.004560e-08
0.5294561.7007611.923096e-08
0.5322231.7004411.841207e-08
0.5350041.7001241.758889e-08
0.5377991.6998111.676142e-08
0.5406091.6995021.592962e-08
0.5434341.6991961.509348e-08
0.5462741.6988931.425296e-08
0.5491281.6985941.340806e-08
0.551.6985041.315000e-08
0.5519981.6982981.319774e-08
0.5548821.6980061.326668e-08
0.5577811.6977171.333597e-08
0.5606961.6974311.340563e-08
0.5636261.6971481.347565e-08
0.5665711.6968691.354604e-08
0.5695311.6965921.361679e-08
0.5725071.6963191.368792e-08
0.5754981.6960481.375941e-08
0.5785061.6957811.383128e-08
0.5815281.6955161.390353e-08
0.5845671.6952541.397615e-08
0.5876221.6949951.404916e-08
0.5906921.6947391.412254e-08
0.5937791.6944861.419631e-08
0.5968811.6942351.427046e-08
0.61.6939871.434500e-08
0.6031351.6937421.441999e-08
0.6062871.6934991.449538e-08
0.6094551.6932591.457116e-08
0.6126391.6930211.464733e-08
0.615841.6927861.472390e-08
0.6190581.6925531.480087e-08
0.6222931.6923221.487825e-08
0.6255451.6920941.495603e-08
0.6288131.6918691.503421e-08
0.6320991.6916451.511281e-08
0.6354021.6914241.519181e-08
0.6387221.6912051.527123e-08
0.6420591.6909891.535106e-08
0.6454141.6907741.543131e-08
0.6487871.6905621.551198e-08
0.651.6904871.554100e-08
0.6521771.6903521.534992e-08
0.6555851.6901441.505078e-08
0.659011.6899381.475008e-08
0.6624541.6897341.444781e-08
0.6659151.6895321.414396e-08
0.6693951.6893321.383853e-08
0.6728921.6891341.353150e-08
0.6764091.6889381.322286e-08
0.6799431.6887431.291261e-08
0.6834961.6885511.260074e-08
0.6870671.688361.228724e-08
0.6906571.6881711.197210e-08
0.6942661.6879841.165532e-08
0.6978941.6877991.133688e-08
0.71.6876931.115200e-08
0.7015411.6876160
0.7052061.6874340
0.7088911.6872540
0.7125951.6870750
0.7163191.6868980
0.7200621.6867230
0.7238241.6865490
0.7276061.6863770
0.7314081.6862060
0.735231.6860370
0.7390721.685870
0.7429341.6857040
0.7468161.6855390
0.7507181.6853760
0.7546411.6852140
0.7585841.6850530
0.7625471.6848940
0.7665321.6847360
0.7705371.684580
0.7745641.6844240
0.7786111.684270
0.7826791.6841180
0.7867691.6839660
0.790881.6838160
0.7950121.6836670
0.7991671.6835190
0.8033421.6833720
0.807541.6832270
0.811761.6830820
0.8160011.6829390
0.8202651.6827960
0.8245511.6826550
0.828861.6825150
0.8331911.6823760
0.8375441.6822370
0.8419211.68210
0.846321.6819640
0.8507421.6818290
0.8551871.6816940
0.8596561.6815610
0.8641481.6814280
0.8686631.6812970
0.8732021.6811660
0.8777651.6810360
0.8823511.6809070
0.8869621.6807790
0.8915971.6806510
0.8962551.6805250
0.9009391.6803990
0.9056461.6802740
0.9103781.6801490
0.9151351.6800260
0.9199171.6799030
0.9247241.6797810
0.9295561.6796590
0.9344131.6795380
0.9392951.6794180
0.9442041.6792980
0.9491371.6791790
0.9540971.6790610
0.9590821.6789430
0.9640931.6788260
0.9691311.678710
0.9741951.6785940
0.9792851.6784780
0.9844021.6783630
0.9895461.6782490
0.9947171.6781350
0.9999141.6780210
1.005141.6779080
1.010391.6777960
1.015671.6776840
1.020981.6775720
1.026311.6774610
1.031681.677350
1.037071.6772390
1.042491.6771290
1.047931.677020
1.053411.676910
1.058911.6768010
1.064451.6766920
1.070011.6765840
1.07561.6764760
1.081221.6763680
1.086871.6762610
1.092551.6761530
1.098261.6760460
1.1041.675940
1.109761.6758330
1.115561.6757270
1.121391.6756210
1.127251.6755150
1.133141.6754090
1.139061.6753040
1.145011.6751980
1.1511.6750930
1.157011.6749880
1.163061.6748830
1.169131.6747780
1.175241.6746730
1.181381.6745680
1.187561.6744640
1.193761.6743590
1.21.6742540
1.206271.674150
1.212571.6740450
1.218911.6739410
1.225281.6738360
1.231681.6737320
1.238121.6736270
1.244591.6735230
1.251091.6734180
1.257631.6733130
1.26421.6732080
1.27081.6731040
1.277441.6729990
1.284121.6728940
1.290831.6727880
1.297571.6726830
1.304351.6725780
1.311171.6724720
1.318021.6723660
1.324911.672260
1.331831.6721540
1.338791.6720480
1.345781.6719410
1.352821.6718340
1.359891.6717270
1.366991.671620
1.374131.6715120
1.381311.6714040
1.388531.6712960
1.395791.6711880
1.403081.6710790
1.410411.670970
1.417781.670860
1.425191.670750
1.432641.670640
1.440121.670530
1.447651.6704190
1.455211.6703080
1.462821.6701960
1.470461.6700840
1.478141.6699710
1.485871.6698580
1.493631.6697450
1.501441.6696310
1.509281.6695160
1.517171.6694010
1.525091.6692860
1.533061.669170
1.541071.6690530
1.549131.6689360
1.557221.6688180
1.565361.66870
1.573541.6685810
1.581761.6684620
1.590021.6683420
1.598331.6682210
1.606681.66810
1.615081.6679780
1.623521.6678550
1.6321.6677320
1.640531.6676080
1.64911.6674830
1.657721.6673570
1.666381.6672310
1.675091.6671040
1.683841.6669760
1.692641.6668480
1.701481.6667190
1.710371.6665880
1.719311.6664570
1.72831.6663260
1.737331.6661930
1.74641.6660590
1.755531.6659250
1.76471.665790
1.773921.6656530
1.783191.6655160
1.792511.6653780
1.801881.6652390
1.811291.6650990
1.820761.6649580
1.830271.6648160
1.839831.6646730
1.849451.6645290
1.859111.6643830
1.868831.6642370
1.878591.664090
1.888411.6639410
1.898271.6637920
1.908191.6636410
1.918161.6634890
1.928191.6633360
1.938261.6631820
1.948391.6630260
1.958571.662870
1.96881.6627120
1.979091.6625530
1.989431.6623920
1.999831.6622310
2.010281.6620680
2.020781.6619030
2.031341.6617380
2.041961.661570
2.052631.6614020
2.063351.6612320
2.074131.6610610
2.084971.6608880
2.095861.6607140
2.106821.6605380
2.117821.6603610
2.128891.6601820
2.140011.6600020
2.15121.659820
2.162441.6596370
2.173741.6594520
2.18511.6592650
2.196511.6590770
2.207991.6588870
2.219531.6586960
2.231121.6585020
2.242781.6583070
2.25451.6581110
2.266281.6579120
2.278121.6577120
2.290031.6575090
2.301991.6573050
2.314021.65710
2.326111.6568920
2.338271.6566820
2.350491.6564710
2.362771.6562570
2.375111.6560410
2.387521.6558240
2.41.6556040

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
—