Optical constants

Refractive index of BASF4 (HIKARI)

BASF4: n,k 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
1.65128
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.72671
Permittivity ε2
1.54503e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
38.218
Chromatic dispersion dn/dλ
-0.0864705 µm⁻¹
Group index ng
1.70209
Group velocity dispersion
168.473 fs²/mm
Dispersion parameter D
-919.111 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

# BASF4 (HIKARI): BASF4
hikari_basf4 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "BASF4", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_basf4.range_nm)  # (400, 700) nm
eps = hikari_basf4.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=2.653252−0.006578821⁢λ2.0+0.02439776⁢λ−2.0+0.0005194976⁢λ−4.0+2.48777×10-5⁢λ−6.0+1.560994×10-6⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.653252
C2-0.006578821
C32.0
C40.02439776
C5-2.0
C60.0005194976
C7-4.0
C82.48777e-05
C9-6.0
C101.560994e-06
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

nd
1.651280
Vd
38.218241
glass code
651382
glass status
preferred
density
value: 3910
thermal expansion
value: 1.01e-05, temperature range: 243 343
dPgF
0.001

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
BASF4 (HIKARI), BASF4: n and k versus wavelength
λ (µm)nk
0.41.6832819.695500e-08
0.4005611.6830969.565137e-08
0.4011241.6829129.434592e-08
0.4016871.6827299.303863e-08
0.402251.6825479.172951e-08
0.4028151.6823659.041854e-08
0.403381.6821858.910574e-08
0.4039461.6820048.779110e-08
0.4045131.6818258.647461e-08
0.4050811.6816468.515628e-08
0.405651.6814688.383609e-08
0.4062191.6812918.251405e-08
0.4067891.6811148.119016e-08
0.407361.6809397.986440e-08
0.4079321.6807637.853679e-08
0.4085041.6805897.720731e-08
0.4090781.6804157.587597e-08
0.4096521.6802427.454276e-08
0.4102271.6800697.320767e-08
0.4108031.6798977.187072e-08
0.4113791.6797267.053188e-08
0.4119571.6795566.919117e-08
0.4125351.6793866.784858e-08
0.4131141.6792176.650410e-08
0.4136941.6790486.515773e-08
0.4142741.678886.380948e-08
0.4148561.6787136.245933e-08
0.4154381.6785476.110729e-08
0.4160211.6783815.975335e-08
0.4166051.6782165.839751e-08
0.417191.6780515.703977e-08
0.4177751.6778875.568012e-08
0.4183621.6777245.431856e-08
0.4189491.6775615.295509e-08
0.4195371.6773995.158971e-08
0.421.6772725.051400e-08
0.4201261.6772375.044001e-08
0.4207151.6770765.009255e-08
0.4213061.6769164.974461e-08
0.4218971.6767574.939617e-08
0.4224891.6765974.904725e-08
0.4230821.6764394.869784e-08
0.4236761.6762814.834794e-08
0.4242711.6761244.799755e-08
0.4248661.6759674.764666e-08
0.4254621.6758114.729528e-08
0.426061.6756564.694341e-08
0.4266581.6755014.659105e-08
0.4272561.6753474.623819e-08
0.4278561.6751934.588484e-08
0.4284571.675044.553099e-08
0.4290581.6748874.517664e-08
0.429661.6747364.482180e-08
0.4302631.6745844.446646e-08
0.4308671.6744334.411062e-08
0.4314721.6742834.375428e-08
0.4320771.6741334.339744e-08
0.4326841.6739844.304009e-08
0.4332911.6738364.268225e-08
0.4338991.6736884.232391e-08
0.4345081.673544.196506e-08
0.4351181.6733934.160571e-08
0.4357291.6732474.124585e-08
0.436341.6731014.088549e-08
0.4369531.6729564.052463e-08
0.4375661.6728114.016325e-08
0.438181.6726673.980137e-08
0.4387951.6725233.943898e-08
0.4394111.672383.907609e-08
0.441.6722443.872900e-08
0.4400281.6722383.870588e-08
0.4406451.6720953.819022e-08
0.4412641.6719543.767384e-08
0.4418831.6718133.715673e-08
0.4425031.6716723.663890e-08
0.4431241.6715323.612034e-08
0.4437461.6713933.560105e-08
0.4443691.6712543.508103e-08
0.4449931.6711153.456029e-08
0.4456171.6709773.403881e-08
0.4462431.670843.351660e-08
0.4468691.6707033.299366e-08
0.4474961.6705673.246999e-08
0.4481241.6704313.194557e-08
0.4487531.6702953.142043e-08
0.4493831.670163.089454e-08
0.4500141.6700263.036792e-08
0.4506451.6698922.984056e-08
0.4512781.6697582.931246e-08
0.4519111.6696252.878362e-08
0.4525461.6694932.825403e-08
0.4531811.6693612.772370e-08
0.4538171.6692292.719263e-08
0.4544541.6690982.666081e-08
0.4550921.6689672.612825e-08
0.455731.6688372.559494e-08
0.456371.6687072.506088e-08
0.4570111.6685782.452607e-08
0.4576521.6684492.399051e-08
0.4582941.6683212.345420e-08
0.4589381.6681932.291713e-08
0.4595821.6680662.237931e-08
0.461.6679832.203000e-08
0.4602271.6679392.186699e-08
0.4608731.6678122.140247e-08
0.4615191.6676862.093729e-08
0.4621671.6675612.047146e-08
0.4628161.6674352.000497e-08
0.4634651.6673111.953783e-08
0.4641161.6671871.907004e-08
0.4647671.6670631.860159e-08
0.465421.6669391.813248e-08
0.4660731.6668161.766271e-08
0.4667271.6666941.719228e-08
0.4673821.6665721.672120e-08
0.4680381.666451.624945e-08
0.4686951.6663291.577704e-08
0.4693531.6662081.530396e-08
0.4700121.6660881.483023e-08
0.4706711.6659681.435583e-08
0.4713321.6658481.388076e-08
0.4719931.6657291.340502e-08
0.4726561.6656111.292862e-08
0.4733191.6654921.245155e-08
0.4739841.6653741.197381e-08
0.4746491.6652571.149540e-08
0.4753151.665141.101631e-08
0.4759821.6650231.053656e-08
0.476651.6649071.005613e-08
0.4773191.6647919.575028e-09
0.4779891.6646769.093250e-09
0.478661.6645618.610795e-09
0.4793321.6644468.127664e-09
0.481.6643337.647100e-09
0.4800051.6643327.646273e-09
0.4806781.6642187.522777e-09
0.4813531.6641057.399107e-09
0.4820281.6639927.275264e-09
0.4827051.6638797.151248e-09
0.4833821.6637677.027057e-09
0.4840611.6636556.902692e-09
0.484741.6635446.778152e-09
0.4854211.6634326.653437e-09
0.4861021.6633226.528548e-09
0.4867841.6632116.403483e-09
0.4874671.6631016.278243e-09
0.4881521.6629926.152826e-09
0.4888371.6628836.027234e-09
0.4895231.6627745.901466e-09
0.490211.6626655.775521e-09
0.4908981.6625575.649399e-09
0.4915871.662455.523100e-09
0.4922771.6623425.396624e-09
0.4929681.6622355.269971e-09
0.493661.6621295.143140e-09
0.4943531.6620225.016130e-09
0.4950461.6619164.888943e-09
0.4957411.6618114.761577e-09
0.4964371.6617064.634032e-09
0.4971341.6616014.506308e-09
0.4978321.6614964.378405e-09
0.498531.6613924.250322e-09
0.499231.6612894.122060e-09
0.4999311.6611853.993617e-09
0.51.6611753.980900e-09
0.5006321.6610823.985934e-09
0.5013351.6609793.991529e-09
0.5020391.6608773.997131e-09
0.5027431.6607754.002741e-09
0.5034491.6606734.008360e-09
0.5041551.6605724.013986e-09
0.5048631.6604714.019619e-09
0.5055721.660374.025261e-09
0.5062811.660274.030911e-09
0.5069921.660174.036569e-09
0.5077031.660074.042234e-09
0.5084161.6599714.047908e-09
0.509131.6598724.053589e-09
0.5098441.6597734.059279e-09
0.510561.6596754.064976e-09
0.5112761.6595774.070682e-09
0.5119941.6594794.076395e-09
0.5127121.6593824.082117e-09
0.5134321.6592854.087846e-09
0.5141531.6591884.093584e-09
0.5148741.6590924.099329e-09
0.5155971.6589964.105083e-09
0.5163211.65894.110845e-09
0.5170451.6588054.116614e-09
0.5177711.6587094.122392e-09
0.5184981.6586154.128178e-09
0.5192251.658524.133973e-09
0.5199541.6584264.139775e-09
0.5206841.6583324.145585e-09
0.5214151.6582384.151404e-09
0.5221471.6581454.157231e-09
0.5228791.6580524.163066e-09
0.5236131.657964.168909e-09
0.5243481.6578674.174760e-09
0.5250841.6577754.180620e-09
0.5258211.6576834.186487e-09
0.5265591.6575924.192363e-09
0.5272981.6575014.198248e-09
0.5280381.657414.204140e-09
0.5287791.657324.210041e-09
0.5295211.6572294.215950e-09
0.5302651.6571394.221867e-09
0.5310091.657054.227793e-09
0.5317541.656964.233727e-09
0.5325011.6568714.239669e-09
0.5332481.6567824.245620e-09
0.5339961.6566944.251579e-09
0.5347461.6566064.257546e-09
0.5354961.6565184.263522e-09
0.5362481.656434.269506e-09
0.5370011.6563434.275499e-09
0.5377541.6562564.281500e-09
0.5385091.6561694.287509e-09
0.5392651.6560824.293527e-09
0.5400221.6559964.299553e-09
0.540781.655914.305588e-09
0.5415391.6558244.311631e-09
0.5422991.6557394.317682e-09
0.543061.6556544.323743e-09
0.5438221.6555694.329811e-09
0.5445851.6554844.335888e-09
0.545351.65544.341974e-09
0.5461151.6553164.348068e-09
0.5468821.6552324.354171e-09
0.5476491.6551494.360282e-09
0.5484181.6550654.366402e-09
0.5491871.6549824.372531e-09
0.5499581.65494.378668e-09
0.551.6548954.379000e-09
0.550731.6548174.384812e-09
0.5515031.6547354.390965e-09
0.5522771.6546534.397126e-09
0.5530521.6545714.403297e-09
0.5538291.654494.409475e-09
0.5546061.6544094.415663e-09
0.5553841.6543284.421859e-09
0.5561641.6542474.428064e-09
0.5569441.6541674.434277e-09
0.5577261.6540874.440499e-09
0.5585091.6540074.446730e-09
0.5592931.6539274.452970e-09
0.5600781.6538484.459219e-09
0.5608641.6537694.465476e-09
0.5616511.653694.471742e-09
0.5624391.6536114.478017e-09
0.5632291.6535334.484300e-09
0.5640191.6534554.490593e-09
0.5648111.6533774.496894e-09
0.5656041.6532994.503204e-09
0.5663971.6532224.509523e-09
0.5671921.6531444.515851e-09
0.5679881.6530674.522188e-09
0.5687861.6529914.528533e-09
0.5695841.6529144.534888e-09
0.5703831.6528384.541251e-09
0.5711841.6527624.547624e-09
0.5719861.6526864.554005e-09
0.5727881.6526114.560395e-09
0.5735921.6525364.566795e-09
0.5743971.6524614.573203e-09
0.5752041.6523864.579620e-09
0.5760111.6523114.586046e-09
0.5768191.6522374.592481e-09
0.5776291.6521634.598926e-09
0.578441.6520894.605379e-09
0.5792511.6520154.611841e-09
0.5800641.6519424.618313e-09
0.5808791.6518694.624793e-09
0.5816941.6517964.631283e-09
0.582511.6517234.637782e-09
0.5833281.651654.644290e-09
0.5841471.6515784.650807e-09
0.5849661.6515064.657333e-09
0.5857871.6514344.663868e-09
0.586611.6513624.670413e-09
0.5874331.6512914.676966e-09
0.5882571.651224.683529e-09
0.5890831.6511494.690101e-09
0.589911.6510784.696682e-09
0.5907381.6510084.703273e-09
0.5915671.6509374.709873e-09
0.5923971.6508674.716482e-09
0.5932291.6507974.723100e-09
0.5940611.6507284.729728e-09
0.5948951.6506584.736365e-09
0.595731.6505894.743011e-09
0.5965661.650524.749666e-09
0.5974031.6504514.756331e-09
0.5982421.6503824.763006e-09
0.5990821.6503144.769689e-09
0.5999221.6502464.776382e-09
0.61.6502394.777000e-09
0.6007641.6501784.783086e-09
0.6016081.650114.789800e-09
0.6024521.6500424.796523e-09
0.6032981.6499754.803255e-09
0.6041441.6499084.809997e-09
0.6049921.6498414.816748e-09
0.6058411.6497744.823509e-09
0.6066921.6497074.830279e-09
0.6075431.6496414.837059e-09
0.6083961.6495754.843848e-09
0.609251.6495094.850647e-09
0.6101051.6494434.857455e-09
0.6109611.6493774.864273e-09
0.6118191.6493124.871100e-09
0.6126771.6492474.877937e-09
0.6135371.6491824.884784e-09
0.6143981.6491174.891640e-09
0.6152611.6490524.898506e-09
0.6161241.6489884.905381e-09
0.6169891.6489234.912266e-09
0.6178551.6488594.919161e-09
0.6187221.6487964.926066e-09
0.6195911.6487324.932980e-09
0.620461.6486684.939904e-09
0.6213311.6486054.946837e-09
0.6222031.6485424.953781e-09
0.6230761.6484794.960734e-09
0.6239511.6484164.967697e-09
0.6248271.6483544.974669e-09
0.6257041.6482914.981652e-09
0.6265821.6482294.988644e-09
0.6274611.6481674.995646e-09
0.6283421.6481055.002658e-09
0.6292241.6480445.009679e-09
0.6301071.6479825.016711e-09
0.6309911.6479215.023752e-09
0.6318771.647865.030803e-09
0.6327641.6477995.037865e-09
0.6336521.6477385.044936e-09
0.6345411.6476785.052017e-09
0.6354321.6476175.059108e-09
0.6363241.6475575.066208e-09
0.6372171.6474975.073319e-09
0.6381111.6474375.080440e-09
0.6390071.6473785.087571e-09
0.6399041.6473185.094712e-09
0.6408021.6472595.101863e-09
0.6417011.64725.109024e-09
0.6426021.6471415.116194e-09
0.6435041.6470825.123375e-09
0.6444071.6470235.130567e-09
0.6453111.6469655.137768e-09
0.6462171.6469065.144979e-09
0.6471241.6468485.152200e-09
0.6480321.646795.159432e-09
0.6489421.6467335.166674e-09
0.6498521.6466755.173926e-09
0.651.6466665.175100e-09
0.6507651.6466175.096816e-09
0.6516781.646565.003298e-09
0.6525931.6465034.909649e-09
0.6535091.6464464.815869e-09
0.6544261.6463894.721957e-09
0.6553441.6463334.627913e-09
0.6562641.6462764.533737e-09
0.6571851.646224.439429e-09
0.6581081.6461644.344988e-09
0.6590311.6461084.250415e-09
0.6599561.6460524.155710e-09
0.6608821.6459964.060871e-09
0.661811.6459413.965899e-09
0.6627391.6458853.870794e-09
0.6636691.645833.775556e-09
0.6646011.6457753.680183e-09
0.6655331.645723.584677e-09
0.6664671.6456653.489037e-09
0.6674031.6456113.393263e-09
0.668341.6455563.297354e-09
0.6692781.6455023.201311e-09
0.6702171.6454483.105132e-09
0.6711581.6453943.008819e-09
0.67211.645342.912371e-09
0.6730431.6452872.815787e-09
0.6739881.6452332.719068e-09
0.6749331.645182.622213e-09
0.6758811.6451272.525222e-09
0.6768291.6450742.428095e-09
0.6777791.6450212.330831e-09
0.6787311.6449682.233432e-09
0.6796831.6449152.135895e-09
0.6806371.6448632.038221e-09
0.6815921.644811.940411e-09
0.6825491.6447581.842463e-09
0.6835071.6447061.744378e-09
0.6844661.6446541.646155e-09
0.6854271.6446031.547794e-09
0.6863891.6445511.449295e-09
0.6873521.64451.350658e-09
0.6883171.6444481.251882e-09
0.6892831.6443971.152968e-09
0.6902511.6443461.053915e-09
0.6912191.6442959.547224e-10
0.692191.6442458.553911e-10
0.6931611.6441947.559203e-10
0.6941341.6441436.563100e-10
0.6951081.6440935.565598e-10
0.6960841.6440434.566696e-10
0.6970611.6439933.566393e-10
0.6980391.6439432.564685e-10
0.6990191.6438931.561571e-10
0.71.6438445.570500e-11

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
—