Optical constants

Refractive index of E-SFH2 (HIKARI)

E-SFH2: 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
1.86073
Extinction coefficient k
3.94253e-08
Permittivity ε1
3.46233
Permittivity ε2
1.46720e-07
Absorption coefficient α
0.00843146 cm⁻¹
Penetration depth δ = λ/(2πk)
2.37207e+09 nm
Abbe number Vd
23.061
Chromatic dispersion dn/dλ
-0.185988 µm⁻¹
Group index ng
1.97002
Group velocity dispersion
389.91 fs²/mm
Dispersion parameter D
-2127.17 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-SFH2 (HIKARI): E-SFH2
hikari_e_sfh2 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-SFH2", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_sfh2.range_nm)  # (400, 700) nm
eps = hikari_e_sfh2.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=3.29665964−0.0153164744⁢λ2.0+0.0497296089⁢λ−2.0+0.00351697046⁢λ−4.0−0.000219810309⁢λ−6.0+3.92850479×10-5⁢λ−8.0+1.6648651×10-5⁢λ4.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C13.29665964
C2-0.0153164744
C32.0
C40.0497296089
C5-2.0
C60.00351697046
C7-4.0
C8-0.000219810309
C9-6.0
C103.92850479e-05
C11-8.0
C121.6648651e-05
C134.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.860740
Vd
23.060801
glass status
preferred
density
value: 3810
thermal expansion
value: 1.01e-05, temperature range: 243 343
dPgF
0.0213

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-SFH2 (HIKARI), E-SFH2: n and k versus wavelength
λ (µm)nk
0.41.9361518.735600e-07
0.4005611.9356698.621041e-07
0.4011241.935198.506321e-07
0.4016871.9347138.391441e-07
0.402251.9342398.276399e-07
0.4028151.9337688.161195e-07
0.403381.9332998.045830e-07
0.4039461.9328327.930303e-07
0.4045131.9323687.814614e-07
0.4050811.9319067.698762e-07
0.405651.9314477.582748e-07
0.4062191.930997.466571e-07
0.4067891.9305367.350231e-07
0.407361.9300837.233728e-07
0.4079321.9296347.117061e-07
0.4085041.9291867.000231e-07
0.4090781.9287416.883236e-07
0.4096521.9282986.766077e-07
0.4102271.9278586.648754e-07
0.4108031.9274196.531266e-07
0.4113791.9269836.413613e-07
0.4119571.9265496.295796e-07
0.4125351.9261186.177812e-07
0.4131141.9256886.059663e-07
0.4136941.9252615.941349e-07
0.4142741.9248365.822868e-07
0.4148561.9244135.704221e-07
0.4154381.9239925.585407e-07
0.4160211.9235745.466427e-07
0.4166051.9231575.347280e-07
0.417191.9227435.227965e-07
0.4177751.922335.108483e-07
0.4183621.921924.988834e-07
0.4189491.9215124.869016e-07
0.4195371.9211064.749030e-07
0.421.9207874.654500e-07
0.4201261.9207014.645045e-07
0.4207151.9202994.600647e-07
0.4213061.9198994.556186e-07
0.4218971.91954.511663e-07
0.4224891.9191044.467077e-07
0.4230821.918714.422429e-07
0.4236761.9183174.377718e-07
0.4242711.9179274.332945e-07
0.4248661.9175384.288108e-07
0.4254621.9171514.243209e-07
0.426061.9167674.198247e-07
0.4266581.9163844.153221e-07
0.4272561.9160034.108133e-07
0.4278561.9156234.062981e-07
0.4284571.9152464.017765e-07
0.4290581.914873.972487e-07
0.429661.9144963.927144e-07
0.4302631.9141243.881738e-07
0.4308671.9137543.836269e-07
0.4314721.9133853.790735e-07
0.4320771.9130193.745138e-07
0.4326841.9126543.699476e-07
0.4332911.912293.653751e-07
0.4338991.9119293.607961e-07
0.4345081.9115693.562107e-07
0.4351181.9112113.516189e-07
0.4357291.9108543.470206e-07
0.436341.9104993.424159e-07
0.4369531.9101463.378047e-07
0.4375661.9097953.331870e-07
0.438181.9094453.285629e-07
0.4387951.9090973.239323e-07
0.4394111.908753.192951e-07
0.441.908423.148600e-07
0.4400281.9084053.147539e-07
0.4406451.9080623.123866e-07
0.4412641.907723.100161e-07
0.4418831.9073793.076422e-07
0.4425031.9070413.052650e-07
0.4431241.9067043.028844e-07
0.4437461.9063683.005005e-07
0.4443691.9060342.981133e-07
0.4449931.9057012.957227e-07
0.4456171.905372.933288e-07
0.4462431.9050412.909315e-07
0.4468691.9047132.885308e-07
0.4474961.9043862.861268e-07
0.4481241.9040612.837194e-07
0.4487531.9037372.813086e-07
0.4493831.9034152.788944e-07
0.4500141.9030952.764768e-07
0.4506451.9027752.740559e-07
0.4512781.9024572.716315e-07
0.4519111.9021412.692038e-07
0.4525461.9018262.667726e-07
0.4531811.9015122.643381e-07
0.4538171.90122.619001e-07
0.4544541.9008892.594587e-07
0.4550921.900582.570138e-07
0.455731.9002722.545655e-07
0.456371.8999652.521138e-07
0.4570111.8996592.496587e-07
0.4576521.8993552.472001e-07
0.4582941.8990532.447381e-07
0.4589381.8987512.422726e-07
0.4595821.8984512.398036e-07
0.461.8982572.382000e-07
0.4602271.8981522.375844e-07
0.4608731.8978552.358300e-07
0.4615191.8975592.340731e-07
0.4621671.8972642.323138e-07
0.4628161.896972.305521e-07
0.4634651.8966782.287878e-07
0.4641161.8963872.270211e-07
0.4647671.8960972.252519e-07
0.465421.8958082.234802e-07
0.4660731.8955212.217060e-07
0.4667271.8952352.199294e-07
0.4673821.894952.181502e-07
0.4680381.8946662.163685e-07
0.4686951.8943832.145844e-07
0.4693531.8941022.127977e-07
0.4700121.8938222.110086e-07
0.4706711.8935432.092169e-07
0.4713321.8932652.074227e-07
0.4719931.8929892.056260e-07
0.4726561.8927132.038268e-07
0.4733191.8924392.020250e-07
0.4739841.8921662.002207e-07
0.4746491.8918941.984139e-07
0.4753151.8916231.966045e-07
0.4759821.8913531.947926e-07
0.476651.8910851.929782e-07
0.4773191.8908171.911612e-07
0.4779891.8905511.893417e-07
0.478661.8902861.875196e-07
0.4793321.8900211.856949e-07
0.481.889761.838800e-07
0.4800051.8897581.838696e-07
0.4806781.8894961.823116e-07
0.4813531.8892361.807515e-07
0.4820281.8889761.791892e-07
0.4827051.8887171.776247e-07
0.4833821.8884591.760580e-07
0.4840611.8882031.744891e-07
0.484741.8879471.729180e-07
0.4854211.8876921.713447e-07
0.4861021.8874391.697692e-07
0.4867841.8871861.681915e-07
0.4874671.8869351.666115e-07
0.4881521.8866851.650294e-07
0.4888371.8864351.634450e-07
0.4895231.8861871.618584e-07
0.490211.8859391.602696e-07
0.4908981.8856931.586785e-07
0.4915871.8854471.570852e-07
0.4922771.8852031.554897e-07
0.4929681.8849591.538919e-07
0.493661.8847171.522919e-07
0.4943531.8844751.506897e-07
0.4950461.8842351.490852e-07
0.4957411.8839951.474784e-07
0.4964371.8837571.458694e-07
0.4971341.8835191.442581e-07
0.4978321.8832821.426446e-07
0.498531.8830461.410288e-07
0.499231.8828111.394108e-07
0.4999311.8825771.377904e-07
0.51.8825541.376300e-07
0.5006321.8823441.366138e-07
0.5013351.8821121.354845e-07
0.5020391.8818811.343536e-07
0.5027431.8816511.332212e-07
0.5034491.8814211.320871e-07
0.5041551.8811931.309515e-07
0.5048631.8809651.298142e-07
0.5055721.8807381.286754e-07
0.5062811.8805121.275350e-07
0.5069921.8802871.263929e-07
0.5077031.8800631.252493e-07
0.5084161.879841.241041e-07
0.509131.8796181.229572e-07
0.5098441.8793961.218088e-07
0.510561.8791761.206587e-07
0.5112761.8789561.195070e-07
0.5119941.8787371.183537e-07
0.5127121.8785191.171988e-07
0.5134321.8783011.160423e-07
0.5141531.8780851.148841e-07
0.5148741.8778691.137243e-07
0.5155971.8776541.125629e-07
0.5163211.877441.113999e-07
0.5170451.8772271.102352e-07
0.5177711.8770151.090689e-07
0.5184981.8768031.079009e-07
0.5192251.8765931.067313e-07
0.5199541.8763831.055601e-07
0.5206841.8761731.043872e-07
0.5214151.8759651.032127e-07
0.5221471.8757571.020365e-07
0.5228791.8755511.008587e-07
0.5236131.8753459.967925e-08
0.5243481.8751399.849812e-08
0.5250841.8749359.731534e-08
0.5258211.8747319.613089e-08
0.5265591.8745289.494478e-08
0.5272981.8743269.375701e-08
0.5280381.8741259.256757e-08
0.5287791.8739249.137646e-08
0.5295211.8737249.018368e-08
0.5302651.8735258.898923e-08
0.5310091.8733268.779310e-08
0.5317541.8731288.659529e-08
0.5325011.8729318.539579e-08
0.5332481.8727358.419462e-08
0.5339961.872548.299176e-08
0.5347461.8723458.178721e-08
0.5354961.8721518.058097e-08
0.5362481.8719577.937304e-08
0.5370011.8717657.816341e-08
0.5377541.8715737.695208e-08
0.5385091.8713817.573906e-08
0.5392651.8711917.452433e-08
0.5400221.8710017.330790e-08
0.540781.8708127.208976e-08
0.5415391.8706237.086991e-08
0.5422991.8704356.964834e-08
0.543061.8702486.842507e-08
0.5438221.8700626.720007e-08
0.5445851.8698766.597336e-08
0.545351.8696916.474493e-08
0.5461151.8695076.351477e-08
0.5468821.8693236.228288e-08
0.5476491.869146.104927e-08
0.5484181.8689575.981392e-08
0.5491871.8687755.857684e-08
0.5499581.8685945.733802e-08
0.551.8685855.727100e-08
0.550731.8684145.692444e-08
0.5515031.8682345.655758e-08
0.5522771.8680555.619020e-08
0.5530521.8678765.582230e-08
0.5538291.8676985.545389e-08
0.5546061.8675215.508496e-08
0.5553841.8673445.471551e-08
0.5561641.8671685.434555e-08
0.5569441.8669935.397506e-08
0.5577261.8668185.360406e-08
0.5585091.8666445.323253e-08
0.5592931.8664715.286048e-08
0.5600781.8662985.248792e-08
0.5608641.8661255.211482e-08
0.5616511.8659545.174121e-08
0.5624391.8657835.136707e-08
0.5632291.8656125.099240e-08
0.5640191.8654425.061721e-08
0.5648111.8652735.024149e-08
0.5656041.8651044.986525e-08
0.5663971.8649364.948848e-08
0.5671921.8647694.911117e-08
0.5679881.8646024.873334e-08
0.5687861.8644354.835498e-08
0.5695841.864274.797609e-08
0.5703831.8641044.759666e-08
0.5711841.863944.721671e-08
0.5719861.8637764.683622e-08
0.5727881.8636124.645519e-08
0.5735921.8634494.607363e-08
0.5743971.8632874.569154e-08
0.5752041.8631254.530891e-08
0.5760111.8629644.492574e-08
0.5768191.8628034.454203e-08
0.5776291.8626434.415779e-08
0.578441.8624844.377301e-08
0.5792511.8623254.338768e-08
0.5800641.8621664.300182e-08
0.5808791.8620084.261541e-08
0.5816941.8618514.222846e-08
0.582511.8616944.184097e-08
0.5833281.8615384.145294e-08
0.5841471.8613824.106436e-08
0.5849661.8612274.067523e-08
0.5857871.8610724.028556e-08
0.586611.8609183.989534e-08
0.5874331.8607643.950457e-08
0.5882571.8606113.911326e-08
0.5890831.8604593.872140e-08
0.589911.8603063.832898e-08
0.5907381.8601553.793602e-08
0.5915671.8600043.754250e-08
0.5923971.8598533.714843e-08
0.5932291.8597033.675381e-08
0.5940611.8595543.635864e-08
0.5948951.8594053.596291e-08
0.595731.8592563.556662e-08
0.5965661.8591083.516978e-08
0.5974031.8589613.477238e-08
0.5982421.8588143.437443e-08
0.5990821.8586673.397591e-08
0.5999221.8585213.357684e-08
0.61.8585083.354000e-08
0.6007641.8583753.358273e-08
0.6016081.858233.362986e-08
0.6024521.8580863.367706e-08
0.6032981.8579423.372433e-08
0.6041441.8577983.377166e-08
0.6049921.8576553.381906e-08
0.6058411.8575123.386653e-08
0.6066921.857373.391406e-08
0.6075431.8572283.396166e-08
0.6083961.8570873.400933e-08
0.609251.8569463.405706e-08
0.6101051.8568063.410486e-08
0.6109611.8566663.415273e-08
0.6118191.8565273.420066e-08
0.6126771.8563883.424866e-08
0.6135371.8562493.429673e-08
0.6143981.8561113.434487e-08
0.6152611.8559743.439307e-08
0.6161241.8558373.444135e-08
0.6169891.85573.448969e-08
0.6178551.8555643.453809e-08
0.6187221.8554283.458657e-08
0.6195911.8552933.463511e-08
0.620461.8551583.468372e-08
0.6213311.8550233.473240e-08
0.6222031.8548893.478115e-08
0.6230761.8547563.482997e-08
0.6239511.8546233.487885e-08
0.6248271.854493.492781e-08
0.6257041.8543583.497683e-08
0.6265821.8542263.502592e-08
0.6274611.8540943.507508e-08
0.6283421.8539633.512431e-08
0.6292241.8538333.517361e-08
0.6301071.8537033.522297e-08
0.6309911.8535733.527241e-08
0.6318771.8534443.532191e-08
0.6327641.8533153.537149e-08
0.6336521.8531863.542114e-08
0.6345411.8530583.547085e-08
0.6354321.852933.552063e-08
0.6363241.8528033.557049e-08
0.6372171.8526763.562041e-08
0.6381111.852553.567041e-08
0.6390071.8524243.572047e-08
0.6399041.8522983.577061e-08
0.6408021.8521733.582081e-08
0.6417011.8520483.587109e-08
0.6426021.8519243.592143e-08
0.6435041.85183.597185e-08
0.6444071.8516763.602234e-08
0.6453111.8515533.607290e-08
0.6462171.851433.612353e-08
0.6471241.8513073.617423e-08
0.6480321.8511853.622500e-08
0.6489421.8510643.627584e-08
0.6498521.8509423.632675e-08
0.651.8509233.633500e-08
0.6507651.8508213.629200e-08
0.6516781.8507013.624063e-08
0.6525931.8505813.618919e-08
0.6535091.8504613.613768e-08
0.6544261.8503423.608610e-08
0.6553441.8502223.603444e-08
0.6562641.8501043.598271e-08
0.6571851.8499863.593091e-08
0.6581081.8498683.587903e-08
0.6590311.849753.582709e-08
0.6599561.8496333.577507e-08
0.6608821.8495163.572297e-08
0.661811.84943.567081e-08
0.6627391.8492833.561857e-08
0.6636691.8491683.556625e-08
0.6646011.8490523.551387e-08
0.6655331.8489373.546141e-08
0.6664671.8488233.540887e-08
0.6674031.8487083.535627e-08
0.668341.8485943.530358e-08
0.6692781.8484813.525083e-08
0.6702171.8483683.519800e-08
0.6711581.8482553.514510e-08
0.67211.8481423.509212e-08
0.6730431.848033.503907e-08
0.6739881.8479183.498594e-08
0.6749331.8478063.493274e-08
0.6758811.8476953.487947e-08
0.6768291.8475843.482612e-08
0.6777791.8474743.477269e-08
0.6787311.8473643.471919e-08
0.6796831.8472543.466561e-08
0.6806371.8471443.461196e-08
0.6815921.8470353.455824e-08
0.6825491.8469263.450444e-08
0.6835071.8468183.445056e-08
0.6844661.846713.439661e-08
0.6854271.8466023.434258e-08
0.6863891.8464943.428848e-08
0.6873521.8463873.423430e-08
0.6883171.846283.418004e-08
0.6892831.8461743.412571e-08
0.6902511.8460683.407130e-08
0.6912191.8459623.401682e-08
0.692191.8458563.396225e-08
0.6931611.8457513.390762e-08
0.6941341.8456463.385290e-08
0.6951081.8455413.379811e-08
0.6960841.8454373.374324e-08
0.6970611.8453333.368830e-08
0.6980391.8452293.363328e-08
0.6990191.8451263.357818e-08
0.71.8450233.352300e-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
—