Optical constants

Refractive index of SF12 (HIKARI)

SF12: 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
1.64831
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.71692
Permittivity ε2
1.54225e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
33.77
Chromatic dispersion dn/dλ
-0.0971664 µm⁻¹
Group index ng
1.7054
Group velocity dispersion
190.567 fs²/mm
Dispersion parameter D
-1039.65 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

# SF12 (HIKARI): SF12
hikari_sf12 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "SF12", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_sf12.range_nm)  # (400, 700) nm
eps = hikari_sf12.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=2.620359+0.002381459⁢λ2.0+0.03560544⁢λ−2.0−0.001773085⁢λ−4.0+0.0003452771⁢λ−6.0−1.282207×10-5⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.620359
C20.002381459
C32.0
C40.03560544
C5-2.0
C6-0.001773085
C7-4.0
C80.0003452771
C9-6.0
C10-1.282207e-05
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

nd
1.648311
Vd
33.769773
glass code
648338
glass status
preferred
density
value: 3730
thermal expansion
value: 9.5e-06, temperature range: 243 343
dPgF
0.002

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
SF12 (HIKARI), SF12: n and k versus wavelength
λ (µm)nk
0.41.6848578.712500e-08
0.4005611.6846438.524396e-08
0.4011241.6844298.336028e-08
0.4016871.6842168.147396e-08
0.402251.6840047.958499e-08
0.4028151.6837937.769337e-08
0.403381.6835837.579909e-08
0.4039461.6833747.390216e-08
0.4045131.6831657.200256e-08
0.4050811.6829587.010030e-08
0.405651.6827516.819536e-08
0.4062191.6825456.628775e-08
0.4067891.682346.437747e-08
0.407361.6821366.246450e-08
0.4079321.6819336.054885e-08
0.4085041.681735.863052e-08
0.4090781.6815285.670948e-08
0.4096521.6813275.478576e-08
0.4102271.6811275.285933e-08
0.4108031.6809285.093020e-08
0.4113791.6807294.899836e-08
0.4119571.6805324.706381e-08
0.4125351.6803354.512654e-08
0.4131141.6801394.318656e-08
0.4136941.6799444.124385e-08
0.4142741.6797493.929841e-08
0.4148561.6795553.735025e-08
0.4154381.6793623.539935e-08
0.4160211.679173.344571e-08
0.4166051.6789793.148933e-08
0.417191.6787882.953021e-08
0.4177751.6785992.756833e-08
0.4183621.6784092.560370e-08
0.4189491.6782212.363632e-08
0.4195371.6780342.166617e-08
0.421.6778872.011400e-08
0.4201261.6778472.003172e-08
0.4207151.6776611.964537e-08
0.4213061.6774761.925848e-08
0.4218971.6772911.887104e-08
0.4224891.6771071.848307e-08
0.4230821.6769241.809454e-08
0.4236761.6767421.770547e-08
0.4242711.676561.731586e-08
0.4248661.6763791.692569e-08
0.4254621.6761991.653498e-08
0.426061.676021.614373e-08
0.4266581.6758411.575192e-08
0.4272561.6756631.535956e-08
0.4278561.6754851.496665e-08
0.4284571.6753091.457320e-08
0.4290581.6751331.417918e-08
0.429661.6749581.378462e-08
0.4302631.6747831.338950e-08
0.4308671.6746091.299383e-08
0.4314721.6744361.259760e-08
0.4320771.6742641.220082e-08
0.4326841.6740921.180347e-08
0.4332911.6739211.140557e-08
0.4338991.673751.100712e-08
0.4345081.673581.060810e-08
0.4351181.6734111.020852e-08
0.4357291.6732439.808387e-09
0.436341.6730759.407688e-09
0.4369531.6729089.006426e-09
0.4375661.6727418.604602e-09
0.438181.6725758.202213e-09
0.4387951.672417.799259e-09
0.4394111.6722467.395741e-09
0.441.6720897.009800e-09
0.4400281.6720827.005165e-09
0.4406451.6719186.901799e-09
0.4412641.6717566.798287e-09
0.4418831.6715946.694630e-09
0.4425031.6714326.590828e-09
0.4431241.6712726.486880e-09
0.4437461.6711116.382787e-09
0.4443691.6709526.278547e-09
0.4449931.6707936.174160e-09
0.4456171.6706356.069628e-09
0.4462431.6704775.964948e-09
0.4468691.670325.860122e-09
0.4474961.6701635.755148e-09
0.4481241.6700085.650028e-09
0.4487531.6698525.544759e-09
0.4493831.6696985.439343e-09
0.4500141.6695435.333779e-09
0.4506451.669395.228067e-09
0.4512781.6692375.122206e-09
0.4519111.6690855.016197e-09
0.4525461.6689334.910039e-09
0.4531811.6687824.803732e-09
0.4538171.6686314.697276e-09
0.4544541.6684814.590671e-09
0.4550921.6683324.483915e-09
0.455731.6681834.377010e-09
0.456371.6680344.269955e-09
0.4570111.6678864.162750e-09
0.4576521.6677394.055394e-09
0.4582941.6675933.947888e-09
0.4589381.6674463.840230e-09
0.4595821.6673013.732422e-09
0.461.6672073.662400e-09
0.4602271.6671563.664204e-09
0.4608731.6670113.669346e-09
0.4615191.6668673.674495e-09
0.4621671.6667243.679651e-09
0.4628161.6665813.684814e-09
0.4634651.6664393.689985e-09
0.4641161.6662973.695163e-09
0.4647671.6661563.700348e-09
0.465421.6660153.705541e-09
0.4660731.6658753.710740e-09
0.4667271.6657353.715947e-09
0.4673821.6655963.721162e-09
0.4680381.6654573.726383e-09
0.4686951.6653193.731612e-09
0.4693531.6651813.736848e-09
0.4700121.6650443.742092e-09
0.4706711.6649073.747343e-09
0.4713321.6647713.752602e-09
0.4719931.6646353.757867e-09
0.4726561.66453.763140e-09
0.4733191.6643663.768421e-09
0.4739841.6642323.773709e-09
0.4746491.6640983.779004e-09
0.4753151.6639653.784307e-09
0.4759821.6638323.789617e-09
0.476651.66373.794935e-09
0.4773191.6635683.800260e-09
0.4779891.6634373.805593e-09
0.478661.6633063.810933e-09
0.4793321.6631763.816281e-09
0.481.6630473.821600e-09
0.4800051.6630463.821636e-09
0.4806781.6629163.827002e-09
0.4813531.6627883.832376e-09
0.4820281.6626593.837757e-09
0.4827051.6625313.843145e-09
0.4833821.6624043.848541e-09
0.4840611.6622773.853945e-09
0.484741.662153.859357e-09
0.4854211.6620243.864776e-09
0.4861021.6618983.870202e-09
0.4867841.6617733.875636e-09
0.4874671.6616483.881078e-09
0.4881521.6615243.886528e-09
0.4888371.66143.891985e-09
0.4895231.6612763.897450e-09
0.490211.6611533.902922e-09
0.4908981.6610313.908402e-09
0.4915871.6609093.913890e-09
0.4922771.6607873.919385e-09
0.4929681.6606663.924889e-09
0.493661.6605453.930400e-09
0.4943531.6604243.935918e-09
0.4950461.6603043.941445e-09
0.4957411.6601853.946979e-09
0.4964371.6600663.952521e-09
0.4971341.6599473.958071e-09
0.4978321.6598283.963628e-09
0.498531.6597113.969193e-09
0.499231.6595933.974766e-09
0.4999311.6594763.980347e-09
0.51.6594643.980900e-09
0.5006321.6593593.985934e-09
0.5013351.6592433.991529e-09
0.5020391.6591273.997131e-09
0.5027431.6590124.002741e-09
0.5034491.6588974.008360e-09
0.5041551.6587824.013986e-09
0.5048631.6586684.019619e-09
0.5055721.6585544.025261e-09
0.5062811.658444.030911e-09
0.5069921.6583274.036569e-09
0.5077031.6582154.042234e-09
0.5084161.6581024.047908e-09
0.509131.657994.053589e-09
0.5098441.6578794.059279e-09
0.510561.6577684.064976e-09
0.5112761.6576574.070682e-09
0.5119941.6575464.076395e-09
0.5127121.6574364.082117e-09
0.5134321.6573274.087846e-09
0.5141531.6572184.093584e-09
0.5148741.6571094.099329e-09
0.5155971.6574.105083e-09
0.5163211.6568924.110845e-09
0.5170451.6567844.116614e-09
0.5177711.6566774.122392e-09
0.5184981.656574.128178e-09
0.5192251.6564634.133973e-09
0.5199541.6563574.139775e-09
0.5206841.6562514.145585e-09
0.5214151.6561454.151404e-09
0.5221471.656044.157231e-09
0.5228791.6559354.163066e-09
0.5236131.655834.168909e-09
0.5243481.6557264.174760e-09
0.5250841.6556224.180620e-09
0.5258211.6555194.186487e-09
0.5265591.6554164.192363e-09
0.5272981.6553134.198248e-09
0.5280381.655214.204140e-09
0.5287791.6551084.210041e-09
0.5295211.6550074.215950e-09
0.5302651.6549054.221867e-09
0.5310091.6548044.227793e-09
0.5317541.6547034.233727e-09
0.5325011.6546034.239669e-09
0.5332481.6545034.245620e-09
0.5339961.6544034.251579e-09
0.5347461.6543034.257546e-09
0.5354961.6542044.263522e-09
0.5362481.6541064.269506e-09
0.5370011.6540074.275499e-09
0.5377541.6539094.281500e-09
0.5385091.6538114.287509e-09
0.5392651.6537144.293527e-09
0.5400221.6536164.299553e-09
0.540781.653524.305588e-09
0.5415391.6534234.311631e-09
0.5422991.6533274.317682e-09
0.543061.6532314.323743e-09
0.5438221.6531354.329811e-09
0.5445851.653044.335888e-09
0.545351.6529454.341974e-09
0.5461151.652854.348068e-09
0.5468821.6527564.354171e-09
0.5476491.6526624.360282e-09
0.5484181.6525684.366402e-09
0.5491871.6524754.372531e-09
0.5499581.6523824.378668e-09
0.551.6523774.379000e-09
0.550731.6522894.384812e-09
0.5515031.6521964.390965e-09
0.5522771.6521044.397126e-09
0.5530521.6520124.403297e-09
0.5538291.6519214.409475e-09
0.5546061.6518294.415663e-09
0.5553841.6517384.421859e-09
0.5561641.6516474.428064e-09
0.5569441.6515574.434277e-09
0.5577261.6514674.440499e-09
0.5585091.6513774.446730e-09
0.5592931.6512874.452970e-09
0.5600781.6511984.459219e-09
0.5608641.6511094.465476e-09
0.5616511.651024.471742e-09
0.5624391.6509324.478017e-09
0.5632291.6508444.484300e-09
0.5640191.6507564.490593e-09
0.5648111.6506684.496894e-09
0.5656041.6505814.503204e-09
0.5663971.6504944.509523e-09
0.5671921.6504074.515851e-09
0.5679881.650324.522188e-09
0.5687861.6502344.528533e-09
0.5695841.6501484.534888e-09
0.5703831.6500624.541251e-09
0.5711841.6499774.547624e-09
0.5719861.6498924.554005e-09
0.5727881.6498074.560395e-09
0.5735921.6497224.566795e-09
0.5743971.6496384.573203e-09
0.5752041.6495544.579620e-09
0.5760111.649474.586046e-09
0.5768191.6493864.592481e-09
0.5776291.6493034.598926e-09
0.578441.649224.605379e-09
0.5792511.6491374.611841e-09
0.5800641.6490554.618313e-09
0.5808791.6489724.624793e-09
0.5816941.648894.631283e-09
0.582511.6488094.637782e-09
0.5833281.6487274.644290e-09
0.5841471.6486464.650807e-09
0.5849661.6485654.657333e-09
0.5857871.6484844.663868e-09
0.586611.6484044.670413e-09
0.5874331.6483234.676966e-09
0.5882571.6482434.683529e-09
0.5890831.6481644.690101e-09
0.589911.6480844.696682e-09
0.5907381.6480054.703273e-09
0.5915671.6479264.709873e-09
0.5923971.6478474.716482e-09
0.5932291.6477694.723100e-09
0.5940611.647694.729728e-09
0.5948951.6476124.736365e-09
0.595731.6475344.743011e-09
0.5965661.6474574.749666e-09
0.5974031.6473794.756331e-09
0.5982421.6473024.763006e-09
0.5990821.6472264.769689e-09
0.5999221.6471494.776382e-09
0.61.6471424.777000e-09
0.6007641.6470724.783086e-09
0.6016081.6469964.789800e-09
0.6024521.646924.796523e-09
0.6032981.6468454.803255e-09
0.6041441.6467694.809997e-09
0.6049921.6466944.816748e-09
0.6058411.6466194.823509e-09
0.6066921.6465444.830279e-09
0.6075431.646474.837059e-09
0.6083961.6463954.843848e-09
0.609251.6463214.850647e-09
0.6101051.6462474.857455e-09
0.6109611.6461744.864273e-09
0.6118191.64614.871100e-09
0.6126771.6460274.877937e-09
0.6135371.6459544.884784e-09
0.6143981.6458814.891640e-09
0.6152611.6458094.898506e-09
0.6161241.6457364.905381e-09
0.6169891.6456644.912266e-09
0.6178551.6455924.919161e-09
0.6187221.6455214.926066e-09
0.6195911.6454494.932980e-09
0.620461.6453784.939904e-09
0.6213311.6453074.946837e-09
0.6222031.6452364.953781e-09
0.6230761.6451654.960734e-09
0.6239511.6450954.967697e-09
0.6248271.6450254.974669e-09
0.6257041.6449554.981652e-09
0.6265821.6448854.988644e-09
0.6274611.6448164.995646e-09
0.6283421.6447465.002658e-09
0.6292241.6446775.009679e-09
0.6301071.6446085.016711e-09
0.6309911.6445395.023752e-09
0.6318771.6444715.030803e-09
0.6327641.6444025.037865e-09
0.6336521.6443345.044936e-09
0.6345411.6442665.052017e-09
0.6354321.6441995.059108e-09
0.6363241.6441315.066208e-09
0.6372171.6440645.073319e-09
0.6381111.6439975.080440e-09
0.6390071.643935.087571e-09
0.6399041.6438635.094712e-09
0.6408021.6437975.101863e-09
0.6417011.643735.109024e-09
0.6426021.6436645.116194e-09
0.6435041.6435985.123375e-09
0.6444071.6435325.130567e-09
0.6453111.6434675.137768e-09
0.6462171.6434015.144979e-09
0.6471241.6433365.152200e-09
0.6480321.6432715.159432e-09
0.6489421.6432075.166674e-09
0.6498521.6431425.173926e-09
0.651.6431325.175100e-09
0.6507651.6430785.181188e-09
0.6516781.6430135.188460e-09
0.6525931.6429495.195742e-09
0.6535091.6428855.203035e-09
0.6544261.6428225.210338e-09
0.6553441.6427585.217651e-09
0.6562641.6426955.224974e-09
0.6571851.6426325.232308e-09
0.6581081.6425695.239652e-09
0.6590311.6425065.247006e-09
0.6599561.6424445.254371e-09
0.6608821.6423815.261746e-09
0.661811.6423195.269131e-09
0.6627391.6422575.276527e-09
0.6636691.6421955.283933e-09
0.6646011.6421345.291349e-09
0.6655331.6420725.298776e-09
0.6664671.6420115.306213e-09
0.6674031.641955.313661e-09
0.668341.6418895.321119e-09
0.6692781.6418285.328588e-09
0.6702171.6417685.336067e-09
0.6711581.6417075.343557e-09
0.67211.6416475.351057e-09
0.6730431.6415875.358567e-09
0.6739881.6415275.366089e-09
0.6749331.6414685.373620e-09
0.6758811.6414085.381163e-09
0.6768291.6413495.388716e-09
0.6777791.641295.396279e-09
0.6787311.6412315.403853e-09
0.6796831.6411725.411438e-09
0.6806371.6411135.419033e-09
0.6815921.6410555.426639e-09
0.6825491.6409965.434256e-09
0.6835071.6409385.441884e-09
0.6844661.640885.449522e-09
0.6854271.6408225.457171e-09
0.6863891.6407655.464830e-09
0.6873521.6407075.472500e-09
0.6883171.640655.480182e-09
0.6892831.6405935.487873e-09
0.6902511.6405365.495576e-09
0.6912191.6404795.503290e-09
0.692191.6404225.511014e-09
0.6931611.6403665.518749e-09
0.6941341.6403095.526495e-09
0.6951081.6402535.534252e-09
0.6960841.6401975.542020e-09
0.6970611.6401415.549798e-09
0.6980391.6400865.557588e-09
0.6990191.640035.565389e-09
0.71.6399755.573200e-09

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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