Optical constants

Refractive index of BSM93 (OHARA)

BSM93: n 0.334–2.325 µm

Data
formula 3 + tabulated k
Range
0.334–2.325 µm
Temperature
298 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.334–2.325 µm
Refractive index n
1.641
Extinction coefficient k
0
Permittivity ε1
2.69287
Permittivity ε2
0
Absorption coefficient α
0 cm⁻¹
Penetration depth δ = λ/(2πk)
— nm
Abbe number Vd
56.928
Chromatic dispersion dn/dλ
-0.058054 µm⁻¹
Group index ng
1.67511
Group velocity dispersion
102.932 fs²/mm
Dispersion parameter D
-561.55 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

# BSM93 (OHARA): BSM93
ohara_bsm93 = ls.fetch_refractiveindex("specs", "OHARA-optical", "BSM93", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_bsm93.range_nm)  # (334, 2325) nm
eps = ohara_bsm93.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=2.6481267−0.011553471⁢λ2.0+0.015517531⁢λ−2.0+0.00053211731⁢λ−4.0−3.390687×10-5⁢λ−6.0+2.099346×10-6⁢λ−8.0

Valid from 0.334 to 2.325 µm.

Coefficients as stored
CiValue
C12.6481267
C2-0.011553471
C32.0
C40.015517531
C5-2.0
C60.00053211731
C7-4.0
C8-3.390687e-05
C9-6.0
C102.099346e-06
C11-8.0

Comments and conditions

Conditions

temperature
298 K

Properties

nd
1.640998
Vd
56.927542
glass code
641569
glass status
preferred

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 412 wavelengths, the same grid as the API and the library
BSM93 (OHARA), BSM93: n and k versus wavelength
λ (µm)nk
0.3341.6786390
0.3356281.6780440
0.3372641.6774570
0.3389081.6768780
0.3405611.6763070
0.3422211.6757440
0.3438891.6751890
0.3455651.674640
0.347251.6740990
0.3489431.6735660
0.351.6732370
0.3506441.6730390
0.3523531.6725190
0.3540711.6720060
0.3557971.6714990
0.3575311.6709990
0.3592741.6705050
0.3610261.6700180
0.3627861.6695360
0.3645541.6690610
0.3651.6689420
0.3663311.6685910
0.3681171.6681280
0.3699121.667670
0.371.6676480
0.3717151.6672180
0.3735271.6667710
0.3753481.6663290
0.3771771.6658930
0.3790161.6654620
0.381.6652350
0.3808641.6650370
0.382721.6646160
0.3845861.6642010
0.3864611.663790
0.3883451.6633840
0.391.6630330
0.3902381.6629830
0.392141.6625870
0.3940521.6621950
0.3959731.6618070
0.3979031.6614250
0.3998431.6610460
0.41.6610160
0.4017921.6606720
0.4037511.6603020
0.4057191.6599370
0.4076971.6595750
0.4096841.6592180
0.4116811.6588650
0.4136881.6585150
0.4157051.658170
0.4177311.6578280
0.4197681.657490
0.421.6574520
0.4218141.6571560
0.423871.6568260
0.4259371.6564990
0.4280131.6561760
0.43011.6558570
0.4321961.655540
0.4343031.6552280
0.436421.6549190
0.4385481.6546130
0.4406861.654310
0.4428341.6540110
0.4449931.6537150
0.4471621.6534220
0.4493421.6531320
0.4515321.6528450
0.4537331.6525620
0.4559451.6522810
0.4581681.6520030
0.461.6517780
0.4604011.6517280
0.4626461.6514570
0.4649011.6511880
0.4671671.6509210
0.4694451.6506580
0.4717331.6503970
0.4740331.650140
0.4763441.6498840
0.4786661.6496320
0.4809991.6493820
0.4833441.6491340
0.48571.648890
0.4880681.6486470
0.4904471.6484070
0.4928381.648170
0.495241.6479350
0.4976551.6477020
0.51.647480
0.5000811.6474720
0.5025181.6472440
0.5049681.6470190
0.507431.6467950
0.5099031.6465740
0.5123891.6463550
0.5148871.6461390
0.5173971.6459240
0.5199191.6457120
0.5224541.6455020
0.5250011.6452930
0.527561.6450870
0.5301321.6448830
0.5327161.6446810
0.5353131.6444810
0.5379221.6442830
0.5405451.6440860
0.543181.6438920
0.5458281.64370
0.5484881.6435090
0.5511621.643320
0.5538491.6431330
0.5565491.6429480
0.5592621.6427650
0.5619881.6425830
0.5647281.6424030
0.5674811.6422250
0.5702471.6420480
0.5730271.6418740
0.5758211.64170
0.5786281.6415290
0.5814481.6413590
0.5842831.641190
0.5871311.6410230
0.5899931.6408580
0.5928691.6406940
0.595761.6405320
0.5986641.6403710
0.6015821.6402110
0.6045151.6400530
0.6074621.6398970
0.6104231.6397420
0.6133991.6395880
0.6163891.6394350
0.6193941.6392840
0.6224131.6391350
0.6254471.6389860
0.6284961.6388390
0.631561.6386930
0.6346391.6385490
0.6377331.6384050
0.6408411.6382630
0.6439651.6381220
0.6471051.6379830
0.6502591.6378440
0.6534291.6377070
0.6566141.6375710
0.6598151.6374360
0.661.6374280
0.6630321.6373020
0.6662641.6371690
0.6695121.6370370
0.6727761.6369060
0.6760551.6367770
0.6793511.6366480
0.6826631.6365210
0.6859911.6363940
0.6893351.6362680
0.6926951.6361440
0.6960721.636020
0.6994651.6358980
0.7028751.6357760
0.7063011.6356550
0.7097441.6355350
0.7132041.6354160
0.7166811.6352980
0.7201751.6351810
0.7236861.6350650
0.7272131.6349490
0.7307581.6348350
0.7343211.6347210
0.73791.6346080
0.7414981.6344960
0.7451121.6343840
0.7487451.6342740
0.7523951.6341640
0.7560621.6340550
0.7597481.6339460
0.7634521.6338390
0.7671731.6337320
0.7709131.6336260
0.7746711.633520
0.7784481.6334150
0.7822431.6333110
0.7860561.6332070
0.7898881.6331050
0.7937381.6330020
0.7976081.6329010
0.8014961.63280
0.8054031.6326990
0.8093291.6325990
0.8132751.63250
0.8172391.6324010
0.8212231.6323030
0.8252261.6322060
0.8292491.6321090
0.8332921.6320120
0.8373541.6319160
0.8414361.631820
0.8455381.6317250
0.849661.6316310
0.8538011.6315370
0.8579641.6314430
0.8621461.631350
0.8663491.6312570
0.8705721.6311650
0.8748161.6310730
0.8790811.6309820
0.8833661.6308910
0.8876721.63080
0.8921.630710
0.8963481.630620
0.9007171.6305310
0.9051081.6304420
0.9095211.6303530
0.9139541.6302640
0.918411.6301760
0.9228871.6300880
0.9273861.6300010
0.9319071.6299140
0.9364491.6298270
0.9410151.629740
0.9456021.6296540
0.9502111.6295680
0.9548441.6294820
0.9594981.6293960
0.9641761.6293110
0.9688761.6292260
0.9735991.6291410
0.9783451.6290560
0.9831141.6289720
0.9879071.6288880
0.9927231.6288040
0.9975621.628720
1.002431.6286360
1.007311.6285520
1.012221.6284690
1.017161.6283860
1.022121.6283030
1.02711.628220
1.03211.6281370
1.037141.6280540
1.042191.6279710
1.047271.6278890
1.052381.6278060
1.057511.6277240
1.061.6276840
1.062661.6276410
1.067841.6275590
1.073051.6274770
1.078281.6273950
1.083541.6273120
1.088821.627230
1.094131.6271480
1.099461.6270660
1.104821.6269840
1.110211.6269020
1.115621.626820
1.121061.6267370
1.126521.6266550
1.132011.6265730
1.137531.6264910
1.143081.6264080
1.148651.6263260
1.154251.6262430
1.159871.6261610
1.165531.6260780
1.171211.6259950
1.176921.6259130
1.182661.625830
1.188421.6257460
1.194221.6256630
1.200041.625580
1.205891.6254960
1.211771.6254130
1.217671.6253290
1.223611.6252450
1.229571.6251610
1.235571.6250760
1.241591.6249920
1.247641.6249070
1.253731.6248220
1.259841.6247370
1.265981.6246510
1.272151.6245650
1.278351.6244790
1.284581.6243930
1.290851.6243070
1.297141.624220
1.303461.6241330
1.309821.6240460
1.31621.6239580
1.322621.623870
1.329071.6237820
1.335541.6236930
1.342051.6236050
1.34861.6235150
1.355171.6234260
1.361781.6233360
1.368421.6232450
1.375091.6231550
1.381791.6230640
1.388531.6229720
1.395291.622880
1.40211.6227880
1.408931.6226950
1.41581.6226020
1.42271.6225090
1.429641.6224140
1.436611.622320
1.443611.6222250
1.450651.622130
1.457721.6220340
1.464821.6219370
1.471971.621840
1.479141.6217430
1.486351.6216450
1.49361.6215460
1.500881.6214470
1.50821.6213480
1.515551.6212480
1.522941.6211470
1.5291.6210640
1.530361.6210460
1.537821.6209440
1.545321.6208410
1.552851.6207380
1.560421.6206340
1.568031.620530
1.575671.6204250
1.583351.6203190
1.591071.6202130
1.598831.6201060
1.606621.6199980
1.614451.619890
1.622321.6197810
1.630231.6196710
1.638181.619560
1.646161.6194490
1.654191.6193370
1.662251.6192240
1.670361.6191110
1.67851.6189970
1.686681.6188810
1.69491.6187660
1.703171.6186490
1.711471.6185310
1.719811.6184130
1.728191.6182940
1.736621.6181740
1.745091.6180530
1.753591.6179310
1.762141.6178080
1.770731.6176840
1.779361.617560
1.788041.6174340
1.796751.6173080
1.805511.6171810
1.814311.6170520
1.823161.6169230
1.832051.6167930
1.840981.6166610
1.849951.6165290
1.858971.6163960
1.868031.6162610
1.877141.6161260
1.886291.6159890
1.895481.6158520
1.904721.6157130
1.914011.6155730
1.923341.6154320
1.932721.615290
1.942141.6151470
1.951611.6150020
1.961121.6148570
1.970681.614710
1.980291.6145620
1.989941.6144130
1.999641.6142620
2.009391.6141110
2.019181.6139580
2.029031.6138040
2.038921.6136480
2.048861.6134910
2.058851.6133330
2.068881.6131730
2.078971.6130130
2.08911.612850
2.099291.6126870
2.109521.6125220
2.11981.6123550
2.130141.6121870
2.140521.6120180
2.150961.6118470
2.161441.6116750
2.171981.6115010
2.182571.6113260
2.193211.6111490
2.20391.6109710
2.214641.6107910
2.225441.6106090
2.236291.6104260
2.247191.6102410
2.258141.6100550
2.269151.6098670
2.280211.6096770
2.291331.6094860
2.30251.6092920
2.313721.6090970
2.3251.6089010

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
—