Optical constants

Refractive index of BASF12 (HIKARI)

BASF12: n 0.4–0.7 µm

Data
formula 3 + tabulated k
Range
0.4–0.7 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.4–0.7 µm
Refractive index n
1.66998
Extinction coefficient k
0
Permittivity ε1
2.78882
Permittivity ε2
0
Absorption coefficient α
0 cm⁻¹
Penetration depth δ = λ/(2πk)
— nm
Abbe number Vd
39.233
Chromatic dispersion dn/dλ
-0.0867127 µm⁻¹
Group index ng
1.72093
Group velocity dispersion
166.896 fs²/mm
Dispersion parameter D
-910.507 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

# BASF12 (HIKARI): BASF12
hikari_basf12 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "BASF12", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_basf12.range_nm)  # (400, 700) nm
eps = hikari_basf12.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=2.729422−0.01897808⁢λ2.0+0.01735778⁢λ−2.0+0.002340995⁢λ−4.0−0.000198277⁢λ−6.0+1.222741×10-5⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.729422
C2-0.01897808
C32.0
C40.01735778
C5-2.0
C60.002340995
C7-4.0
C8-0.000198277
C9-6.0
C101.222741e-05
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

nd
1.669980
Vd
39.233289
glass code
670392
glass status
preferred
density
value: 3930
thermal expansion
value: 9.1e-06, temperature range: 243 343
dPgF
0.0002

References

Cite

NIKON Zemax catalog 2017-11 (obtained from http://www.nikon.com); See also HIKARI 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 408 wavelengths, the same grid as the API and the library
BASF12 (HIKARI), BASF12: n and k versus wavelength
λ (µm)nk
0.41.701930
0.4005611.7017460
0.4011241.7015630
0.4016871.701380
0.402251.7011980
0.4028151.7010170
0.403381.7008370
0.4039461.7006570
0.4045131.7004780
0.4050811.70030
0.405651.7001230
0.4062191.6999460
0.4067891.699770
0.407361.6995940
0.4079321.699420
0.4085041.6992460
0.4090781.6990720
0.4096521.69890
0.4102271.6987280
0.4108031.6985570
0.4113791.6983860
0.4119571.6982160
0.4125351.6980470
0.4131141.6978780
0.4136941.697710
0.4142741.6975430
0.4148561.6973770
0.4154381.6972110
0.4160211.6970450
0.4166051.6968810
0.417191.6967160
0.4177751.6965530
0.4183621.696390
0.4189491.6962280
0.4195371.6960670
0.421.695940
0.4201261.6959060
0.4207151.6957450
0.4213061.6955860
0.4218971.6954270
0.4224891.6952680
0.4230821.695110
0.4236761.6949530
0.4242711.6947960
0.4248661.694640
0.4254621.6944850
0.426061.694330
0.4266581.6941760
0.4272561.6940220
0.4278561.6938690
0.4284571.6937160
0.4290581.6935640
0.429661.6934130
0.4302631.6932620
0.4308671.6931120
0.4314721.6929620
0.4320771.6928130
0.4326841.6926640
0.4332911.6925160
0.4338991.6923690
0.4345081.6922220
0.4351181.6920750
0.4357291.6919290
0.436341.6917840
0.4369531.6916390
0.4375661.6914950
0.438181.6913510
0.4387951.6912080
0.4394111.6910650
0.441.690930
0.4400281.6909230
0.4406451.6907820
0.4412641.6906410
0.4418831.69050
0.4425031.690360
0.4431241.690220
0.4437461.6900810
0.4443691.6899430
0.4449931.6898050
0.4456171.6896670
0.4462431.689530
0.4468691.6893940
0.4474961.6892570
0.4481241.6891220
0.4487531.6889870
0.4493831.6888520
0.4500141.6887180
0.4506451.6885840
0.4512781.6884510
0.4519111.6883190
0.4525461.6881860
0.4531811.6880550
0.4538171.6879240
0.4544541.6877930
0.4550921.6876620
0.455731.6875330
0.456371.6874030
0.4570111.6872740
0.4576521.6871460
0.4582941.6870180
0.4589381.686890
0.4595821.6867630
0.461.6866810
0.4602271.6866370
0.4608731.686510
0.4615191.6863850
0.4621671.6862590
0.4628161.6861340
0.4634651.686010
0.4641161.6858860
0.4647671.6857620
0.465421.6856390
0.4660731.6855170
0.4667271.6853940
0.4673821.6852720
0.4680381.6851510
0.4686951.685030
0.4693531.684910
0.4700121.6847890
0.4706711.684670
0.4713321.684550
0.4719931.6844310
0.4726561.6843130
0.4733191.6841950
0.4739841.6840770
0.4746491.683960
0.4753151.6838430
0.4759821.6837270
0.476651.6836110
0.4773191.6834950
0.4779891.683380
0.478661.6832650
0.4793321.6831510
0.481.6830370
0.4800051.6830360
0.4806781.6829230
0.4813531.682810
0.4820281.6826970
0.4827051.6825840
0.4833821.6824720
0.4840611.682360
0.484741.6822490
0.4854211.6821380
0.4861021.6820270
0.4867841.6819170
0.4874671.6818070
0.4881521.6816980
0.4888371.6815890
0.4895231.681480
0.490211.6813720
0.4908981.6812640
0.4915871.6811560
0.4922771.6810490
0.4929681.6809420
0.493661.6808350
0.4943531.6807290
0.4950461.6806230
0.4957411.6805180
0.4964371.6804130
0.4971341.6803080
0.4978321.6802040
0.498531.68010
0.499231.6799960
0.4999311.6798930
0.51.6798820
0.5006321.679790
0.5013351.6796870
0.5020391.6795850
0.5027431.6794830
0.5034491.6793810
0.5041551.679280
0.5048631.6791790
0.5055721.6790780
0.5062811.6789780
0.5069921.6788780
0.5077031.6787780
0.5084161.6786790
0.509131.678580
0.5098441.6784810
0.510561.6783830
0.5112761.6782850
0.5119941.6781870
0.5127121.678090
0.5134321.6779930
0.5141531.6778960
0.5148741.67780
0.5155971.6777040
0.5163211.6776080
0.5170451.6775130
0.5177711.6774180
0.5184981.6773230
0.5192251.6772280
0.5199541.6771340
0.5206841.677040
0.5214151.6769470
0.5221471.6768530
0.5228791.676760
0.5236131.6766680
0.5243481.6765750
0.5250841.6764830
0.5258211.6763920
0.5265591.67630
0.5272981.6762090
0.5280381.6761180
0.5287791.6760280
0.5295211.6759370
0.5302651.6758470
0.5310091.6757580
0.5317541.6756680
0.5325011.6755790
0.5332481.675490
0.5339961.6754020
0.5347461.6753130
0.5354961.6752250
0.5362481.6751380
0.5370011.675050
0.5377541.6749630
0.5385091.6748760
0.5392651.674790
0.5400221.6747030
0.540781.6746170
0.5415391.6745320
0.5422991.6744460
0.543061.6743610
0.5438221.6742760
0.5445851.6741910
0.545351.6741070
0.5461151.6740230
0.5468821.6739390
0.5476491.6738550
0.5484181.6737720
0.5491871.6736890
0.5499581.6736060
0.551.6736020
0.550731.6735240
0.5515031.6734410
0.5522771.6733590
0.5530521.6732770
0.5538291.6731960
0.5546061.6731150
0.5553841.6730340
0.5561641.6729530
0.5569441.6728720
0.5577261.6727920
0.5585091.6727120
0.5592931.6726320
0.5600781.6725530
0.5608641.6724740
0.5616511.6723950
0.5624391.6723160
0.5632291.6722370
0.5640191.6721590
0.5648111.6720810
0.5656041.6720030
0.5663971.6719260
0.5671921.6718490
0.5679881.6717710
0.5687861.6716950
0.5695841.6716180
0.5703831.6715420
0.5711841.6714660
0.5719861.671390
0.5727881.6713140
0.5735921.6712390
0.5743971.6711630
0.5752041.6710890
0.5760111.6710140
0.5768191.6709390
0.5776291.6708650
0.578441.6707910
0.5792511.6707170
0.5800641.6706440
0.5808791.670570
0.5816941.6704970
0.582511.6704240
0.5833281.6703510
0.5841471.6702790
0.5849661.6702070
0.5857871.6701350
0.586611.6700630
0.5874331.6699910
0.5882571.669920
0.5890831.6698490
0.589911.6697780
0.5907381.6697070
0.5915671.6696360
0.5923971.6695660
0.5932291.6694960
0.5940611.6694260
0.5948951.6693560
0.595731.6692870
0.5965661.6692170
0.5974031.6691480
0.5982421.6690790
0.5990821.6690110
0.5999221.6689420
0.61.6689360
0.6007641.6688740
0.6016081.6688060
0.6024521.6687380
0.6032981.668670
0.6041441.6686030
0.6049921.6685360
0.6058411.6684690
0.6066921.6684020
0.6075431.6683350
0.6083961.6682690
0.609251.6682020
0.6101051.6681360
0.6109611.668070
0.6118191.6680050
0.6126771.6679390
0.6135371.6678740
0.6143981.6678090
0.6152611.6677440
0.6161241.6676790
0.6169891.6676140
0.6178551.667550
0.6187221.6674860
0.6195911.6674220
0.620461.6673580
0.6213311.6672940
0.6222031.6672310
0.6230761.6671670
0.6239511.6671040
0.6248271.6670410
0.6257041.6669790
0.6265821.6669160
0.6274611.6668540
0.6283421.6667910
0.6292241.6667290
0.6301071.6666670
0.6309911.6666060
0.6318771.6665440
0.6327641.6664830
0.6336521.6664220
0.6345411.6663610
0.6354321.66630
0.6363241.6662390
0.6372171.6661790
0.6381111.6661180
0.6390071.6660580
0.6399041.6659980
0.6408021.6659380
0.6417011.6658790
0.6426021.6658190
0.6435041.665760
0.6444071.6657010
0.6453111.6656420
0.6462171.6655830
0.6471241.6655240
0.6480321.6654660
0.6489421.6654070
0.6498521.6653490
0.651.665340
0.6507651.6652910
0.6516781.6652330
0.6525931.6651750
0.6535091.6651180
0.6544261.665060
0.6553441.6650030
0.6562641.6649460
0.6571851.6648890
0.6581081.6648320
0.6590311.6647760
0.6599561.6647190
0.6608821.6646630
0.661811.6646070
0.6627391.6645510
0.6636691.6644950
0.6646011.6644390
0.6655331.6643830
0.6664671.6643280
0.6674031.6642730
0.668341.6642180
0.6692781.6641630
0.6702171.6641080
0.6711581.6640530
0.67211.6639980
0.6730431.6639440
0.6739881.663890
0.6749331.6638360
0.6758811.6637820
0.6768291.6637280
0.6777791.6636740
0.6787311.663620
0.6796831.6635670
0.6806371.6635140
0.6815921.663460
0.6825491.6634070
0.6835071.6633540
0.6844661.6633020
0.6854271.6632490
0.6863891.6631970
0.6873521.6631440
0.6883171.6630920
0.6892831.663040
0.6902511.6629880
0.6912191.6629360
0.692191.6628840
0.6931611.6628330
0.6941341.6627810
0.6951081.662730
0.6960841.6626790
0.6970611.6626280
0.6980391.6625770
0.6990191.6625260
0.71.6624750

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
—