Optical constants

Refractive index of SF9 (HIKARI)

SF9: 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
1.65446
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.73723
Permittivity ε2
1.54801e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
33.855
Chromatic dispersion dn/dλ
-0.0978163 µm⁻¹
Group index ng
1.71193
Group velocity dispersion
192.825 fs²/mm
Dispersion parameter D
-1051.96 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

# SF9 (HIKARI): SF9
hikari_sf9 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "SF9", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_sf9.range_nm)  # (400, 700) nm
eps = hikari_sf9.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=2.661342−0.01187903⁢λ2.0+0.02328061⁢λ−2.0+0.001777729⁢λ−4.0−0.0001298549⁢λ−6.0+1.138748×10-5⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.661342
C2-0.01187903
C32.0
C40.02328061
C5-2.0
C60.001777729
C7-4.0
C8-0.0001298549
C9-6.0
C101.138748e-05
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

nd
1.654460
Vd
33.855439
glass code
654339
glass status
preferred
density
value: 3930
thermal expansion
value: 8.8e-06, temperature range: 243 343
dPgF
0.0001

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
SF9 (HIKARI), SF9: n and k versus wavelength
λ (µm)nk
0.41.6911719.367500e-08
0.4005611.6909569.227313e-08
0.4011241.6907419.086929e-08
0.4016871.6905278.946347e-08
0.402251.6903148.805569e-08
0.4028151.6901028.664593e-08
0.403381.6898918.523419e-08
0.4039461.6896818.382047e-08
0.4045131.6894718.240476e-08
0.4050811.6892638.098707e-08
0.405651.6890557.956739e-08
0.4062191.6888497.814572e-08
0.4067891.6886437.672205e-08
0.407361.6884387.529638e-08
0.4079321.6882347.386871e-08
0.4085041.6880317.243904e-08
0.4090781.6878287.100736e-08
0.4096521.6876276.957367e-08
0.4102271.6874266.813797e-08
0.4108031.6872266.670025e-08
0.4113791.6870276.526052e-08
0.4119571.6868296.381877e-08
0.4125351.6866326.237499e-08
0.4131141.6864356.092918e-08
0.4136941.6862395.948135e-08
0.4142741.6860445.803149e-08
0.4148561.685855.657958e-08
0.4154381.6856575.512565e-08
0.4160211.6854645.366967e-08
0.4166051.6852735.221165e-08
0.417191.6850825.075158e-08
0.4177751.6848924.928946e-08
0.4183621.6847024.782529e-08
0.4189491.6845144.635906e-08
0.4195371.6843264.489078e-08
0.421.6841784.373400e-08
0.4201261.6841394.361384e-08
0.4207151.6839524.304959e-08
0.4213061.6837674.248456e-08
0.4218971.6835824.191873e-08
0.4224891.6833984.135210e-08
0.4230821.6832144.078469e-08
0.4236761.6830324.021647e-08
0.4242711.682853.964746e-08
0.4248661.6826693.907765e-08
0.4254621.6824883.850704e-08
0.426061.6823093.793562e-08
0.4266581.682133.736341e-08
0.4272561.6819513.679039e-08
0.4278561.6817743.621657e-08
0.4284571.6815973.564194e-08
0.4290581.6814213.506651e-08
0.429661.6812453.449027e-08
0.4302631.681073.391322e-08
0.4308671.6808963.333536e-08
0.4314721.6807233.275669e-08
0.4320771.680553.217721e-08
0.4326841.6803783.159691e-08
0.4332911.6802073.101580e-08
0.4338991.6800363.043387e-08
0.4345081.6798662.985113e-08
0.4351181.6796972.926757e-08
0.4357291.6795282.868319e-08
0.436341.679362.809799e-08
0.4369531.6791922.751197e-08
0.4375661.6790262.692512e-08
0.438181.678862.633746e-08
0.4387951.6786942.574896e-08
0.4394111.6785292.515965e-08
0.441.6783722.459600e-08
0.4400281.6783652.457717e-08
0.4406451.6782022.415727e-08
0.4412641.6780392.373678e-08
0.4418831.6778762.331570e-08
0.4425031.6777152.289403e-08
0.4431241.6775532.247177e-08
0.4437461.6773932.204891e-08
0.4443691.6772332.162546e-08
0.4449931.6770742.120142e-08
0.4456171.6769152.077678e-08
0.4462431.6767572.035154e-08
0.4468691.67661.992571e-08
0.4474961.6764431.949928e-08
0.4481241.6762871.907225e-08
0.4487531.6761311.864463e-08
0.4493831.6759761.821640e-08
0.4500141.6758221.778757e-08
0.4506451.6756681.735814e-08
0.4512781.6755141.692811e-08
0.4519111.6753621.649747e-08
0.4525461.6752091.606623e-08
0.4531811.6750581.563439e-08
0.4538171.6749071.520193e-08
0.4544541.6747561.476887e-08
0.4550921.6746061.433521e-08
0.455731.6744571.390093e-08
0.456371.6743081.346605e-08
0.4570111.674161.303055e-08
0.4576521.6740121.259444e-08
0.4582941.6738651.215772e-08
0.4589381.6737181.172039e-08
0.4595821.6735721.128245e-08
0.461.6734781.099800e-08
0.4602271.6734271.091667e-08
0.4608731.6732821.068489e-08
0.4615191.6731371.045279e-08
0.4621671.6729931.022036e-08
0.4628161.672859.987605e-09
0.4634651.6727079.754524e-09
0.4641161.6725659.521116e-09
0.4647671.6724239.287381e-09
0.465421.6722829.053317e-09
0.4660731.6721418.818925e-09
0.4667271.6720018.584204e-09
0.4673821.6718618.349153e-09
0.4680381.6717228.113773e-09
0.4686951.6715837.878062e-09
0.4693531.6714457.642020e-09
0.4700121.6713077.405647e-09
0.4706711.671177.168943e-09
0.4713321.6710336.931906e-09
0.4719931.6708976.694536e-09
0.4726561.6707616.456833e-09
0.4733191.6706256.218797e-09
0.4739841.6704915.980427e-09
0.4746491.6703565.741722e-09
0.4753151.6702235.502681e-09
0.4759821.6700895.263306e-09
0.476651.6699565.023594e-09
0.4773191.6698244.783546e-09
0.4779891.6696924.543162e-09
0.478661.6695614.302439e-09
0.4793321.669434.061379e-09
0.481.66933.821600e-09
0.4800051.6692993.821636e-09
0.4806781.6691693.827002e-09
0.4813531.6690393.832376e-09
0.4820281.668913.837757e-09
0.4827051.6687823.843145e-09
0.4833821.6686533.848541e-09
0.4840611.6685263.853945e-09
0.484741.6683983.859357e-09
0.4854211.6682713.864776e-09
0.4861021.6681453.870202e-09
0.4867841.6680193.875636e-09
0.4874671.6678933.881078e-09
0.4881521.6677683.886528e-09
0.4888371.6676443.891985e-09
0.4895231.667523.897450e-09
0.490211.6673963.902922e-09
0.4908981.6672723.908402e-09
0.4915871.667153.913890e-09
0.4922771.6670273.919385e-09
0.4929681.6669053.924889e-09
0.493661.6667833.930400e-09
0.4943531.6666623.935918e-09
0.4950461.6665413.941445e-09
0.4957411.6664213.946979e-09
0.4964371.6663013.952521e-09
0.4971341.6661823.958071e-09
0.4978321.6660623.963628e-09
0.498531.6659443.969193e-09
0.499231.6658253.974766e-09
0.4999311.6657083.980347e-09
0.51.6656963.980900e-09
0.5006321.665593.985934e-09
0.5013351.6654733.991529e-09
0.5020391.6653563.997131e-09
0.5027431.665244.002741e-09
0.5034491.6651244.008360e-09
0.5041551.6650094.013986e-09
0.5048631.6648944.019619e-09
0.5055721.6647794.025261e-09
0.5062811.6646654.030911e-09
0.5069921.6645514.036569e-09
0.5077031.6644374.042234e-09
0.5084161.6643244.047908e-09
0.509131.6642114.053589e-09
0.5098441.6640994.059279e-09
0.510561.6639874.064976e-09
0.5112761.6638764.070682e-09
0.5119941.6637644.076395e-09
0.5127121.6636544.082117e-09
0.5134321.6635434.087846e-09
0.5141531.6634334.093584e-09
0.5148741.6633234.099329e-09
0.5155971.6632144.105083e-09
0.5163211.6631054.110845e-09
0.5170451.6629964.116614e-09
0.5177711.6628884.122392e-09
0.5184981.662784.128178e-09
0.5192251.6626734.133973e-09
0.5199541.6625664.139775e-09
0.5206841.6624594.145585e-09
0.5214151.6623534.151404e-09
0.5221471.6622474.157231e-09
0.5228791.6621414.163066e-09
0.5236131.6620354.168909e-09
0.5243481.6619314.174760e-09
0.5250841.6618264.180620e-09
0.5258211.6617224.186487e-09
0.5265591.6616184.192363e-09
0.5272981.6615144.198248e-09
0.5280381.6614114.204140e-09
0.5287791.6613084.210041e-09
0.5295211.6612054.215950e-09
0.5302651.6611034.221867e-09
0.5310091.6610014.227793e-09
0.5317541.66094.233727e-09
0.5325011.6607984.239669e-09
0.5332481.6606984.245620e-09
0.5339961.6605974.251579e-09
0.5347461.6604974.257546e-09
0.5354961.6603974.263522e-09
0.5362481.6602974.269506e-09
0.5370011.6601984.275499e-09
0.5377541.6600994.281500e-09
0.5385091.6600014.287509e-09
0.5392651.6599024.293527e-09
0.5400221.6598054.299553e-09
0.540781.6597074.305588e-09
0.5415391.659614.311631e-09
0.5422991.6595134.317682e-09
0.543061.6594164.323743e-09
0.5438221.659324.329811e-09
0.5445851.6592244.335888e-09
0.545351.6591284.341974e-09
0.5461151.6590334.348068e-09
0.5468821.6589384.354171e-09
0.5476491.6588434.360282e-09
0.5484181.6587484.366402e-09
0.5491871.6586544.372531e-09
0.5499581.658564.378668e-09
0.551.6585554.379000e-09
0.550731.6584674.384812e-09
0.5515031.6583744.390965e-09
0.5522771.6582814.397126e-09
0.5530521.6581884.403297e-09
0.5538291.6580964.409475e-09
0.5546061.6580044.415663e-09
0.5553841.6579124.421859e-09
0.5561641.657824.428064e-09
0.5569441.6577294.434277e-09
0.5577261.6576384.440499e-09
0.5585091.6575484.446730e-09
0.5592931.6574584.452970e-09
0.5600781.6573684.459219e-09
0.5608641.6572784.465476e-09
0.5616511.6571884.471742e-09
0.5624391.6570994.478017e-09
0.5632291.6570114.484300e-09
0.5640191.6569224.490593e-09
0.5648111.6568344.496894e-09
0.5656041.6567464.503204e-09
0.5663971.6566584.509523e-09
0.5671921.6565714.515851e-09
0.5679881.6564834.522188e-09
0.5687861.6563974.528533e-09
0.5695841.656314.534888e-09
0.5703831.6562244.541251e-09
0.5711841.6561384.547624e-09
0.5719861.6560524.554005e-09
0.5727881.6559664.560395e-09
0.5735921.6558814.566795e-09
0.5743971.6557964.573203e-09
0.5752041.6557114.579620e-09
0.5760111.6556274.586046e-09
0.5768191.6555434.592481e-09
0.5776291.6554594.598926e-09
0.578441.6553754.605379e-09
0.5792511.6552924.611841e-09
0.5800641.6552094.618313e-09
0.5808791.6551264.624793e-09
0.5816941.6550444.631283e-09
0.582511.6549614.637782e-09
0.5833281.6548794.644290e-09
0.5841471.6547974.650807e-09
0.5849661.6547164.657333e-09
0.5857871.6546344.663868e-09
0.586611.6545534.670413e-09
0.5874331.6544734.676966e-09
0.5882571.6543924.683529e-09
0.5890831.6543124.690101e-09
0.589911.6542324.696682e-09
0.5907381.6541524.703273e-09
0.5915671.6540724.709873e-09
0.5923971.6539934.716482e-09
0.5932291.6539144.723100e-09
0.5940611.6538354.729728e-09
0.5948951.6537574.736365e-09
0.595731.6536784.743011e-09
0.5965661.65364.749666e-09
0.5974031.6535224.756331e-09
0.5982421.6534454.763006e-09
0.5990821.6533684.769689e-09
0.5999221.653294.776382e-09
0.61.6532834.777000e-09
0.6007641.6532144.783086e-09
0.6016081.6531374.789800e-09
0.6024521.653064.796523e-09
0.6032981.6529844.803255e-09
0.6041441.6529084.809997e-09
0.6049921.6528334.816748e-09
0.6058411.6527574.823509e-09
0.6066921.6526824.830279e-09
0.6075431.6526074.837059e-09
0.6083961.6525324.843848e-09
0.609251.6524584.850647e-09
0.6101051.6523834.857455e-09
0.6109611.6523094.864273e-09
0.6118191.6522354.871100e-09
0.6126771.6521624.877937e-09
0.6135371.6520884.884784e-09
0.6143981.6520154.891640e-09
0.6152611.6519424.898506e-09
0.6161241.6518694.905381e-09
0.6169891.6517974.912266e-09
0.6178551.6517244.919161e-09
0.6187221.6516524.926066e-09
0.6195911.651584.932980e-09
0.620461.6515094.939904e-09
0.6213311.6514374.946837e-09
0.6222031.6513664.953781e-09
0.6230761.6512954.960734e-09
0.6239511.6512244.967697e-09
0.6248271.6511534.974669e-09
0.6257041.6510834.981652e-09
0.6265821.6510134.988644e-09
0.6274611.6509434.995646e-09
0.6283421.6508735.002658e-09
0.6292241.6508035.009679e-09
0.6301071.6507345.016711e-09
0.6309911.6506655.023752e-09
0.6318771.6505965.030803e-09
0.6327641.6505275.037865e-09
0.6336521.6504595.044936e-09
0.6345411.650395.052017e-09
0.6354321.6503225.059108e-09
0.6363241.6502545.066208e-09
0.6372171.6501865.073319e-09
0.6381111.6501195.080440e-09
0.6390071.6500525.087571e-09
0.6399041.6499845.094712e-09
0.6408021.6499175.101863e-09
0.6417011.6498515.109024e-09
0.6426021.6497845.116194e-09
0.6435041.6497185.123375e-09
0.6444071.6496525.130567e-09
0.6453111.6495865.137768e-09
0.6462171.649525.144979e-09
0.6471241.6494545.152200e-09
0.6480321.6493895.159432e-09
0.6489421.6493245.166674e-09
0.6498521.6492595.173926e-09
0.651.6492485.175100e-09
0.6507651.6491945.096816e-09
0.6516781.6491295.003298e-09
0.6525931.6490654.909649e-09
0.6535091.6490014.815869e-09
0.6544261.6489364.721957e-09
0.6553441.6488734.627913e-09
0.6562641.6488094.533737e-09
0.6571851.6487454.439429e-09
0.6581081.6486824.344988e-09
0.6590311.6486194.250415e-09
0.6599561.6485564.155710e-09
0.6608821.6484934.060871e-09
0.661811.648433.965899e-09
0.6627391.6483683.870794e-09
0.6636691.6483063.775556e-09
0.6646011.6482443.680183e-09
0.6655331.6481823.584677e-09
0.6664671.648123.489037e-09
0.6674031.6480583.393263e-09
0.668341.6479973.297354e-09
0.6692781.6479363.201311e-09
0.6702171.6478753.105132e-09
0.6711581.6478143.008819e-09
0.67211.6477532.912371e-09
0.6730431.6476932.815787e-09
0.6739881.6476322.719068e-09
0.6749331.6475722.622213e-09
0.6758811.6475122.525222e-09
0.6768291.6474522.428095e-09
0.6777791.6473932.330831e-09
0.6787311.6473332.233432e-09
0.6796831.6472742.135895e-09
0.6806371.6472152.038221e-09
0.6815921.6471561.940411e-09
0.6825491.6470971.842463e-09
0.6835071.6470381.744378e-09
0.6844661.646981.646155e-09
0.6854271.6469211.547794e-09
0.6863891.6468631.449295e-09
0.6873521.6468051.350658e-09
0.6883171.6467471.251882e-09
0.6892831.646691.152968e-09
0.6902511.6466321.053915e-09
0.6912191.6465759.547224e-10
0.692191.6465178.553911e-10
0.6931611.646467.559203e-10
0.6941341.6464036.563100e-10
0.6951081.6463475.565598e-10
0.6960841.646294.566696e-10
0.6970611.6462343.566393e-10
0.6980391.6461772.564685e-10
0.6990191.6461211.561571e-10
0.71.6460655.570500e-11

Optical transmission calculator

Free-standing sample in vacuum, normal incidence
Method
Transmittance T
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Reflectance R
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Fresnel reflection calculator

Direction
Rp
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Rs
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R = (Rp+Rs)/2
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Phase φp
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Phase φs
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Brewster angle θB
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Critical angle θC
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