Optical constants

Refractive index of E-SFS3 (HIKARI)

E-SFS3: n,k 0.4–0.7 µm

Data
formula 3 + tabulated k
Range
0.4–0.7 µm
Temperature
296 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
1.78469
Extinction coefficient k
4.67830e-09
Permittivity ε1
3.18512
Permittivity ε2
1.66986e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
26.295
Chromatic dispersion dn/dλ
-0.149402 µm⁻¹
Group index ng
1.87248
Group velocity dispersion
307.824 fs²/mm
Dispersion parameter D
-1679.35 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

# E-SFS3 (HIKARI): E-SFS3
hikari_e_sfs3 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-SFS3", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_sfs3.range_nm)  # (400, 700) nm
eps = hikari_e_sfs3.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=3.05701152−0.0132251945⁢λ2.0+0.0390853018⁢λ−2.0+0.0025148016⁢λ−4.0−0.000131876542⁢λ−6.0+2.24898958×10-5⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C13.05701152
C2-0.0132251945
C32.0
C40.0390853018
C5-2.0
C60.0025148016
C7-4.0
C8-0.000131876542
C9-6.0
C102.24898958e-05
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.784696
Vd
26.295354
glass code
785263
glass status
preferred
density
value: 3280
thermal expansion
value: 1.02e-05, temperature range: 243 343
dPgF
0.0134

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
E-SFS3 (HIKARI), E-SFS3: n and k versus wavelength
λ (µm)nk
0.41.8437826.316900e-07
0.4005611.8434156.212724e-07
0.4011241.843056.108403e-07
0.4016871.8426876.003934e-07
0.402251.8423265.899319e-07
0.4028151.8419665.794558e-07
0.403381.8416085.689649e-07
0.4039461.8412525.584593e-07
0.4045131.8408975.479390e-07
0.4050811.8405455.374039e-07
0.405651.8401945.268540e-07
0.4062191.8398445.162893e-07
0.4067891.8394975.057097e-07
0.407361.8391514.951154e-07
0.4079321.8388074.845061e-07
0.4085041.8384644.738820e-07
0.4090781.8381234.632429e-07
0.4096521.8377844.525890e-07
0.4102271.8374474.419200e-07
0.4108031.8371114.312361e-07
0.4113791.8367764.205372e-07
0.4119571.8364434.098233e-07
0.4125351.8361123.990943e-07
0.4131141.8357833.883503e-07
0.4136941.8354553.775912e-07
0.4142741.8351283.668170e-07
0.4148561.8348033.560277e-07
0.4154381.834483.452232e-07
0.4160211.8341583.344036e-07
0.4166051.8338373.235688e-07
0.417191.8335183.127188e-07
0.4177751.8332013.018536e-07
0.4183621.8328852.909731e-07
0.4189491.8325712.800773e-07
0.4195371.8322582.691662e-07
0.421.8320132.605700e-07
0.4201261.8319462.598543e-07
0.4207151.8316362.564935e-07
0.4213061.8313282.531281e-07
0.4218971.831022.497579e-07
0.4224891.8307142.463829e-07
0.4230821.830412.430033e-07
0.4236761.8301072.396188e-07
0.4242711.8298052.362297e-07
0.4248661.8295052.328358e-07
0.4254621.8292062.294371e-07
0.426061.8289092.260336e-07
0.4266581.8286132.226254e-07
0.4272561.8283182.192124e-07
0.4278561.8280242.157946e-07
0.4284571.8277322.123720e-07
0.4290581.8274412.089446e-07
0.429661.8271522.055124e-07
0.4302631.8268642.020753e-07
0.4308671.8265771.986335e-07
0.4314721.8262911.951868e-07
0.4320771.8260071.917353e-07
0.4326841.8257241.882789e-07
0.4332911.8254421.848177e-07
0.4338991.8251611.813516e-07
0.4345081.8248821.778807e-07
0.4351181.8246041.744049e-07
0.4357291.8243271.709242e-07
0.436341.8240511.674386e-07
0.4369531.8237771.639481e-07
0.4375661.8235041.604528e-07
0.438181.8232321.569525e-07
0.4387951.8229611.534473e-07
0.4394111.8226911.499372e-07
0.441.8224351.465800e-07
0.4400281.8224231.465158e-07
0.4406451.8221551.450833e-07
0.4412641.8218891.436487e-07
0.4418831.8216241.422122e-07
0.4425031.821361.407737e-07
0.4431241.8210981.393331e-07
0.4437461.8208361.378905e-07
0.4443691.8205761.364459e-07
0.4449931.8203161.349993e-07
0.4456171.8200581.335506e-07
0.4462431.8198011.320999e-07
0.4468691.8195451.306472e-07
0.4474961.819291.291924e-07
0.4481241.8190371.277356e-07
0.4487531.8187841.262767e-07
0.4493831.8185321.248158e-07
0.4500141.8182821.233528e-07
0.4506451.8180321.218878e-07
0.4512781.8177841.204208e-07
0.4519111.8175361.189516e-07
0.4525461.817291.174804e-07
0.4531811.8170441.160072e-07
0.4538171.81681.145318e-07
0.4544541.8165571.130545e-07
0.4550921.8163151.115750e-07
0.455731.8160731.100934e-07
0.456371.8158331.086098e-07
0.4570111.8155941.071241e-07
0.4576521.8153561.056363e-07
0.4582941.8151181.041464e-07
0.4589381.8148821.026545e-07
0.4595821.8146471.011604e-07
0.461.8144951.001900e-07
0.4602271.8144129.984083e-08
0.4608731.8141799.884578e-08
0.4615191.8139479.784935e-08
0.4621671.8137159.685151e-08
0.4628161.8134859.585227e-08
0.4634651.8132559.485163e-08
0.4641161.8130279.384959e-08
0.4647671.8127999.284614e-08
0.465421.8125729.184128e-08
0.4660731.8123469.083501e-08
0.4667271.8121228.982733e-08
0.4673821.8118988.881824e-08
0.4680381.8116748.780772e-08
0.4686951.8114528.679579e-08
0.4693531.8112318.578244e-08
0.4700121.8110118.476767e-08
0.4706711.8107918.375148e-08
0.4713321.8105738.273385e-08
0.4719931.8103558.171480e-08
0.4726561.8101388.069432e-08
0.4733191.8099227.967241e-08
0.4739841.8097077.864906e-08
0.4746491.8094937.762427e-08
0.4753151.8092797.659805e-08
0.4759821.8090677.557039e-08
0.476651.8088557.454128e-08
0.4773191.8086447.351073e-08
0.4779891.8084347.247874e-08
0.478661.8082257.144529e-08
0.4793321.8080167.041040e-08
0.481.807816.938100e-08
0.4800051.8078096.937437e-08
0.4806781.8076026.838430e-08
0.4813531.8073966.739284e-08
0.4820281.8071916.639999e-08
0.4827051.8069876.540574e-08
0.4833821.8067836.441010e-08
0.4840611.8065816.341306e-08
0.484741.8063796.241462e-08
0.4854211.8061776.141479e-08
0.4861021.8059776.041354e-08
0.4867841.8057785.941090e-08
0.4874671.8055795.840684e-08
0.4881521.8053815.740138e-08
0.4888371.8051835.639450e-08
0.4895231.8049875.538622e-08
0.490211.8047915.437651e-08
0.4908981.8045965.336539e-08
0.4915871.8044025.235285e-08
0.4922771.8042085.133889e-08
0.4929681.8040165.032351e-08
0.493661.8038244.930670e-08
0.4943531.8036324.828846e-08
0.4950461.8034424.726880e-08
0.4957411.8032524.624770e-08
0.4964371.8030634.522517e-08
0.4971341.8028754.420121e-08
0.4978321.8026874.317580e-08
0.498531.80254.214896e-08
0.499231.8023144.112068e-08
0.4999311.8021284.009096e-08
0.51.802113.998900e-08
0.5006321.8019443.953868e-08
0.5013351.8017593.903825e-08
0.5020391.8015763.853712e-08
0.5027431.8013933.803529e-08
0.5034491.8012113.753275e-08
0.5041551.801033.702950e-08
0.5048631.8008493.652555e-08
0.5055721.8006693.602090e-08
0.5062811.800493.551553e-08
0.5069921.8003113.500945e-08
0.5077031.8001333.450267e-08
0.5084161.7999563.399517e-08
0.509131.7997793.348696e-08
0.5098441.7996033.297804e-08
0.510561.7994283.246840e-08
0.5112761.7992533.195805e-08
0.5119941.7990793.144698e-08
0.5127121.7989063.093519e-08
0.5134321.7987333.042269e-08
0.5141531.7985612.990947e-08
0.5148741.7983892.939552e-08
0.5155971.7982182.888086e-08
0.5163211.7980482.836547e-08
0.5170451.7978792.784936e-08
0.5177711.797712.733252e-08
0.5184981.7975412.681496e-08
0.5192251.7973732.629668e-08
0.5199541.7972062.577766e-08
0.5206841.797042.525792e-08
0.5214151.7968742.473744e-08
0.5221471.7967092.421624e-08
0.5228791.7965442.369431e-08
0.5236131.796382.317164e-08
0.5243481.7962162.264824e-08
0.5250841.7960532.212410e-08
0.5258211.7958912.159923e-08
0.5265591.7957292.107363e-08
0.5272981.7955682.054728e-08
0.5280381.7954072.002020e-08
0.5287791.7952471.949237e-08
0.5295211.7950881.896381e-08
0.5302651.7949291.843450e-08
0.5310091.7947711.790445e-08
0.5317541.7946131.737366e-08
0.5325011.7944561.684212e-08
0.5332481.7942991.630984e-08
0.5339961.7941431.577681e-08
0.5347461.7939881.524303e-08
0.5354961.7938331.470850e-08
0.5362481.7936791.417322e-08
0.5370011.7935251.363719e-08
0.5377541.7933721.310041e-08
0.5385091.7932191.256287e-08
0.5392651.7930671.202458e-08
0.5400221.7929151.148553e-08
0.540781.7927641.094573e-08
0.5415391.7926131.040517e-08
0.5422991.7924639.863852e-09
0.543061.7923149.321773e-09
0.5438221.7921658.778934e-09
0.5445851.7920168.235333e-09
0.545351.7918687.690968e-09
0.5461151.7917217.145840e-09
0.5468821.7915746.599947e-09
0.5476491.7914286.053287e-09
0.5484181.7912825.505861e-09
0.5491871.7911364.957665e-09
0.5499581.7909914.408701e-09
0.551.7909844.379000e-09
0.550731.7908474.384812e-09
0.5515031.7907034.390965e-09
0.5522771.790564.397126e-09
0.5530521.7904174.403297e-09
0.5538291.7902754.409475e-09
0.5546061.7901334.415663e-09
0.5553841.7899914.421859e-09
0.5561641.7898514.428064e-09
0.5569441.789714.434277e-09
0.5577261.789574.440499e-09
0.5585091.7894314.446730e-09
0.5592931.7892924.452970e-09
0.5600781.7891534.459219e-09
0.5608641.7890154.465476e-09
0.5616511.7888784.471742e-09
0.5624391.7887414.478017e-09
0.5632291.7886044.484300e-09
0.5640191.7884684.490593e-09
0.5648111.7883334.496894e-09
0.5656041.7881974.503204e-09
0.5663971.7880634.509523e-09
0.5671921.7879284.515851e-09
0.5679881.7877954.522188e-09
0.5687861.7876614.528533e-09
0.5695841.7875284.534888e-09
0.5703831.7873964.541251e-09
0.5711841.7872644.547624e-09
0.5719861.7871324.554005e-09
0.5727881.7870014.560395e-09
0.5735921.7868714.566795e-09
0.5743971.786744.573203e-09
0.5752041.7866114.579620e-09
0.5760111.7864814.586046e-09
0.5768191.7863524.592481e-09
0.5776291.7862244.598926e-09
0.578441.7860964.605379e-09
0.5792511.7859684.611841e-09
0.5800641.7858414.618313e-09
0.5808791.7857144.624793e-09
0.5816941.7855884.631283e-09
0.582511.7854624.637782e-09
0.5833281.7853374.644290e-09
0.5841471.7852114.650807e-09
0.5849661.7850874.657333e-09
0.5857871.7849634.663868e-09
0.586611.7848394.670413e-09
0.5874331.7847154.676966e-09
0.5882571.7845924.683529e-09
0.5890831.784474.690101e-09
0.589911.7843474.696682e-09
0.5907381.7842264.703273e-09
0.5915671.7841044.709873e-09
0.5923971.7839834.716482e-09
0.5932291.7838634.723100e-09
0.5940611.7837434.729728e-09
0.5948951.7836234.736365e-09
0.595731.7835034.743011e-09
0.5965661.7833844.749666e-09
0.5974031.7832664.756331e-09
0.5982421.7831484.763006e-09
0.5990821.783034.769689e-09
0.5999221.7829124.776382e-09
0.61.7829014.777000e-09
0.6007641.7827954.783086e-09
0.6016081.7826784.789800e-09
0.6024521.7825624.796523e-09
0.6032981.7824464.803255e-09
0.6041441.7823314.809997e-09
0.6049921.7822164.816748e-09
0.6058411.7821014.823509e-09
0.6066921.7819864.830279e-09
0.6075431.7818724.837059e-09
0.6083961.7817594.843848e-09
0.609251.7816454.850647e-09
0.6101051.7815324.857455e-09
0.6109611.781424.864273e-09
0.6118191.7813074.871100e-09
0.6126771.7811964.877937e-09
0.6135371.7810844.884784e-09
0.6143981.7809734.891640e-09
0.6152611.7808624.898506e-09
0.6161241.7807524.905381e-09
0.6169891.7806424.912266e-09
0.6178551.7805324.919161e-09
0.6187221.7804234.926066e-09
0.6195911.7803144.932980e-09
0.620461.7802054.939904e-09
0.6213311.7800974.946837e-09
0.6222031.7799894.953781e-09
0.6230761.7798814.960734e-09
0.6239511.7797744.967697e-09
0.6248271.7796674.974669e-09
0.6257041.779564.981652e-09
0.6265821.7794544.988644e-09
0.6274611.7793484.995646e-09
0.6283421.7792425.002658e-09
0.6292241.7791375.009679e-09
0.6301071.7790325.016711e-09
0.6309911.7789275.023752e-09
0.6318771.7788235.030803e-09
0.6327641.7787195.037865e-09
0.6336521.7786165.044936e-09
0.6345411.7785125.052017e-09
0.6354321.7784095.059108e-09
0.6363241.7783075.066208e-09
0.6372171.7782045.073319e-09
0.6381111.7781025.080440e-09
0.6390071.7780015.087571e-09
0.6399041.7778995.094712e-09
0.6408021.7777985.101863e-09
0.6417011.7776975.109024e-09
0.6426021.7775975.116194e-09
0.6435041.7774975.123375e-09
0.6444071.7773975.130567e-09
0.6453111.7772985.137768e-09
0.6462171.7771985.144979e-09
0.6471241.77715.152200e-09
0.6480321.7770015.159432e-09
0.6489421.7769035.166674e-09
0.6498521.7768055.173926e-09
0.651.7767895.175100e-09
0.6507651.7767075.351885e-09
0.6516781.776615.563072e-09
0.6525931.7765135.774556e-09
0.6535091.7764165.986336e-09
0.6544261.7763196.198413e-09
0.6553441.7762236.410788e-09
0.6562641.7761276.623462e-09
0.6571851.7760326.836433e-09
0.6581081.7759367.049704e-09
0.6590311.7758417.263274e-09
0.6599561.7757477.477144e-09
0.6608821.7756527.691313e-09
0.661811.7755587.905784e-09
0.6627391.7754648.120555e-09
0.6636691.7753718.335628e-09
0.6646011.7752788.551003e-09
0.6655331.7751858.766680e-09
0.6664671.7750928.982660e-09
0.6674031.7749999.198943e-09
0.668341.7749079.415529e-09
0.6692781.7748159.632420e-09
0.6702171.7747249.849615e-09
0.6711581.7746321.006711e-08
0.67211.7745411.028492e-08
0.6730431.7744511.050303e-08
0.6739881.774361.072145e-08
0.6749331.774271.094017e-08
0.6758811.774181.115920e-08
0.6768291.774091.137854e-08
0.6777791.7740011.159818e-08
0.6787311.7739121.181814e-08
0.6796831.7738231.203840e-08
0.6806371.7737341.225897e-08
0.6815921.7736461.247985e-08
0.6825491.7735581.270104e-08
0.6835071.773471.292255e-08
0.6844661.7733821.314436e-08
0.6854271.7732951.336648e-08
0.6863891.7732081.358892e-08
0.6873521.7731211.381167e-08
0.6883171.7730351.403473e-08
0.6892831.7729481.425810e-08
0.6902511.7728621.448179e-08
0.6912191.7727771.470579e-08
0.692191.7726911.493010e-08
0.6931611.7726061.515474e-08
0.6941341.7725211.537968e-08
0.6951081.7724361.560494e-08
0.6960841.7723521.583052e-08
0.6970611.7722671.605641e-08
0.6980391.7721831.628262e-08
0.6990191.7720991.650915e-08
0.71.7720161.673600e-08

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
—