Optical constants

Refractive index of E-SF1 (HIKARI)

E-SF1: 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
1.71736
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.94932
Permittivity ε2
1.60686e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
29.522
Chromatic dispersion dn/dλ
-0.122124 µm⁻¹
Group index ng
1.78912
Group velocity dispersion
246.827 fs²/mm
Dispersion parameter D
-1346.57 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-SF1 (HIKARI): E-SF1
hikari_e_sf1 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-SF1", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_sf1.range_nm)  # (400, 700) nm
eps = hikari_e_sf1.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=2.84827856−0.0122548479⁢λ2.0+0.0316736954⁢λ−2.0+0.00170745362⁢λ−4.0−7.33008941×10-5⁢λ−6.0+1.41012815×10-5⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.84827856
C2-0.0122548479
C32.0
C40.0316736954
C5-2.0
C60.00170745362
C7-4.0
C8-7.33008941e-05
C9-6.0
C101.41012815e-05
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.717362
Vd
29.522238
glass code
717295
glass status
preferred
density
value: 3070
thermal expansion
value: 9.7e-06, temperature range: 243 343
dPgF
0.0101

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-SF1 (HIKARI), E-SF1: n and k versus wavelength
λ (µm)nk
0.41.7648224.432800e-07
0.4005611.7645324.343740e-07
0.4011241.7642444.254556e-07
0.4016871.7639564.165246e-07
0.402251.7636714.075811e-07
0.4028151.7633863.986250e-07
0.403381.7631033.896564e-07
0.4039461.7628213.806752e-07
0.4045131.7625413.716814e-07
0.4050811.7622623.626749e-07
0.405651.7619843.536558e-07
0.4062191.7617073.446241e-07
0.4067891.7614323.355796e-07
0.407361.7611583.265225e-07
0.4079321.7608863.174527e-07
0.4085041.7606143.083701e-07
0.4090781.7603442.992748e-07
0.4096521.7600752.901667e-07
0.4102271.7598072.810459e-07
0.4108031.7595412.719122e-07
0.4113791.7592762.627658e-07
0.4119571.7590122.536064e-07
0.4125351.7587492.444343e-07
0.4131141.7584882.352492e-07
0.4136941.7582272.260513e-07
0.4142741.7579682.168404e-07
0.4148561.757712.076167e-07
0.4154381.7574531.983800e-07
0.4160211.7571981.891303e-07
0.4166051.7569431.798676e-07
0.417191.756691.705919e-07
0.4177751.7564381.613033e-07
0.4183621.7561861.520015e-07
0.4189491.7559361.426868e-07
0.4195371.7556881.333589e-07
0.421.7554931.260100e-07
0.4201261.755441.254620e-07
0.4207151.7551931.228887e-07
0.4213061.7549481.203118e-07
0.4218971.7547031.177312e-07
0.4224891.754461.151471e-07
0.4230821.7542181.125593e-07
0.4236761.7539771.099679e-07
0.4242711.7537371.073729e-07
0.4248661.7534971.047742e-07
0.4254621.7532591.021718e-07
0.426061.7530229.956585e-08
0.4266581.7527879.695620e-08
0.4272561.7525529.434289e-08
0.4278561.7523189.172592e-08
0.4284571.7520858.910527e-08
0.4290581.7518538.648094e-08
0.429661.7516228.385293e-08
0.4302631.7513928.122123e-08
0.4308671.7511647.858583e-08
0.4314721.7509367.594674e-08
0.4320771.7507097.330394e-08
0.4326841.7504837.065744e-08
0.4332911.7502586.800722e-08
0.4338991.7500346.535328e-08
0.4345081.7498116.269561e-08
0.4351181.7495896.003422e-08
0.4357291.7493685.736909e-08
0.436341.7491485.470022e-08
0.4369531.7489295.202760e-08
0.4375661.748714.935123e-08
0.438181.7484934.667111e-08
0.4387951.7482774.398722e-08
0.4394111.7480614.129957e-08
0.441.7478563.872900e-08
0.4400281.7478473.868552e-08
0.4406451.7476333.771589e-08
0.4412641.747423.674489e-08
0.4418831.7472083.577253e-08
0.4425031.7469973.479881e-08
0.4431241.7467873.382372e-08
0.4437461.7465783.284726e-08
0.4443691.7463693.186943e-08
0.4449931.7461623.089023e-08
0.4456171.7459552.990965e-08
0.4462431.7457492.892770e-08
0.4468691.7455442.794437e-08
0.4474961.745342.695966e-08
0.4481241.7451372.597357e-08
0.4487531.7449352.498609e-08
0.4493831.7447332.399723e-08
0.4500141.7445322.300698e-08
0.4506451.7443322.201534e-08
0.4512781.7441332.102231e-08
0.4519111.7439352.002788e-08
0.4525461.7437371.903206e-08
0.4531811.7435411.803484e-08
0.4538171.7433451.703622e-08
0.4544541.743151.603620e-08
0.4550921.7429551.503478e-08
0.455731.7427621.403195e-08
0.456371.7425691.302771e-08
0.4570111.7423771.202206e-08
0.4576521.7421861.101501e-08
0.4582941.7419951.000654e-08
0.4589381.7418068.996649e-09
0.4595821.7416177.985345e-09
0.461.7414957.328500e-09
0.4602271.7414297.288754e-09
0.4608731.7412417.175492e-09
0.4615191.7410557.062070e-09
0.4621671.7408696.948489e-09
0.4628161.7406846.834749e-09
0.4634651.7404996.720849e-09
0.4641161.7403156.606789e-09
0.4647671.7401326.492570e-09
0.465421.739956.378189e-09
0.4660731.7397696.263649e-09
0.4667271.7395886.148947e-09
0.4673821.7394086.034085e-09
0.4680381.7392285.919061e-09
0.4686951.739055.803876e-09
0.4693531.7388725.688529e-09
0.4700121.7386945.573021e-09
0.4706711.7385185.457350e-09
0.4713321.7383425.341517e-09
0.4719931.7381675.225521e-09
0.4726561.7379925.109363e-09
0.4733191.7378184.993041e-09
0.4739841.7376454.876556e-09
0.4746491.7374734.759908e-09
0.4753151.7373014.643096e-09
0.4759821.737134.526120e-09
0.476651.7369594.408980e-09
0.4773191.7367894.291676e-09
0.4779891.736624.174206e-09
0.478661.7364514.056572e-09
0.4793321.7362843.938773e-09
0.481.7361173.821600e-09
0.4800051.7361163.821636e-09
0.4806781.735953.827002e-09
0.4813531.7357843.832376e-09
0.4820281.7356183.837757e-09
0.4827051.7354543.843145e-09
0.4833821.7352893.848541e-09
0.4840611.7351263.853945e-09
0.484741.7349633.859357e-09
0.4854211.7348013.864776e-09
0.4861021.7346393.870202e-09
0.4867841.7344783.875636e-09
0.4874671.7343183.881078e-09
0.4881521.7341583.886528e-09
0.4888371.7339993.891985e-09
0.4895231.733843.897450e-09
0.490211.7336823.902922e-09
0.4908981.7335253.908402e-09
0.4915871.7333683.913890e-09
0.4922771.7332123.919385e-09
0.4929681.7330563.924889e-09
0.493661.7329013.930400e-09
0.4943531.7327463.935918e-09
0.4950461.7325923.941445e-09
0.4957411.7324393.946979e-09
0.4964371.7322863.952521e-09
0.4971341.7321343.958071e-09
0.4978321.7319823.963628e-09
0.498531.7318313.969193e-09
0.499231.7316813.974766e-09
0.4999311.7315313.980347e-09
0.51.7315163.980900e-09
0.5006321.7313813.985934e-09
0.5013351.7312323.991529e-09
0.5020391.7310843.997131e-09
0.5027431.7309364.002741e-09
0.5034491.7307894.008360e-09
0.5041551.7306424.013986e-09
0.5048631.7304964.019619e-09
0.5055721.730354.025261e-09
0.5062811.7302054.030911e-09
0.5069921.7300614.036569e-09
0.5077031.7299174.042234e-09
0.5084161.7297734.047908e-09
0.509131.729634.053589e-09
0.5098441.7294884.059279e-09
0.510561.7293464.064976e-09
0.5112761.7292044.070682e-09
0.5119941.7290634.076395e-09
0.5127121.7289234.082117e-09
0.5134321.7287834.087846e-09
0.5141531.7286434.093584e-09
0.5148741.7285044.099329e-09
0.5155971.7283664.105083e-09
0.5163211.7282284.110845e-09
0.5170451.728094.116614e-09
0.5177711.7279544.122392e-09
0.5184981.7278174.128178e-09
0.5192251.7276814.133973e-09
0.5199541.7275464.139775e-09
0.5206841.727414.145585e-09
0.5214151.7272764.151404e-09
0.5221471.7271424.157231e-09
0.5228791.7270084.163066e-09
0.5236131.7268754.168909e-09
0.5243481.7267424.174760e-09
0.5250841.726614.180620e-09
0.5258211.7264794.186487e-09
0.5265591.7263474.192363e-09
0.5272981.7262164.198248e-09
0.5280381.7260864.204140e-09
0.5287791.7259564.210041e-09
0.5295211.7258274.215950e-09
0.5302651.7256984.221867e-09
0.5310091.7255694.227793e-09
0.5317541.7254414.233727e-09
0.5325011.7253144.239669e-09
0.5332481.7251864.245620e-09
0.5339961.725064.251579e-09
0.5347461.7249334.257546e-09
0.5354961.7248074.263522e-09
0.5362481.7246824.269506e-09
0.5370011.7245574.275499e-09
0.5377541.7244334.281500e-09
0.5385091.7243084.287509e-09
0.5392651.7241854.293527e-09
0.5400221.7240614.299553e-09
0.540781.7239394.305588e-09
0.5415391.7238164.311631e-09
0.5422991.7236944.317682e-09
0.543061.7235734.323743e-09
0.5438221.7234514.329811e-09
0.5445851.7233314.335888e-09
0.545351.723214.341974e-09
0.5461151.723094.348068e-09
0.5468821.7229714.354171e-09
0.5476491.7228524.360282e-09
0.5484181.7227334.366402e-09
0.5491871.7226154.372531e-09
0.5499581.7224974.378668e-09
0.551.722494.379000e-09
0.550731.7223794.384812e-09
0.5515031.7222624.390965e-09
0.5522771.7221454.397126e-09
0.5530521.7220294.403297e-09
0.5538291.7219134.409475e-09
0.5546061.7217984.415663e-09
0.5553841.7216834.421859e-09
0.5561641.7215684.428064e-09
0.5569441.7214534.434277e-09
0.5577261.721344.440499e-09
0.5585091.7212264.446730e-09
0.5592931.7211134.452970e-09
0.5600781.7214.459219e-09
0.5608641.7208874.465476e-09
0.5616511.7207754.471742e-09
0.5624391.7206644.478017e-09
0.5632291.7205524.484300e-09
0.5640191.7204414.490593e-09
0.5648111.7203314.496894e-09
0.5656041.720224.503204e-09
0.5663971.7201114.509523e-09
0.5671921.7200014.515851e-09
0.5679881.7198924.522188e-09
0.5687861.7197834.528533e-09
0.5695841.7196754.534888e-09
0.5703831.7195674.541251e-09
0.5711841.7194594.547624e-09
0.5719861.7193524.554005e-09
0.5727881.7192454.560395e-09
0.5735921.7191384.566795e-09
0.5743971.7190324.573203e-09
0.5752041.7189264.579620e-09
0.5760111.718824.586046e-09
0.5768191.7187154.592481e-09
0.5776291.718614.598926e-09
0.578441.7185064.605379e-09
0.5792511.7184014.611841e-09
0.5800641.7182984.618313e-09
0.5808791.7181944.624793e-09
0.5816941.7180914.631283e-09
0.582511.7179884.637782e-09
0.5833281.7178854.644290e-09
0.5841471.7177834.650807e-09
0.5849661.7176814.657333e-09
0.5857871.717584.663868e-09
0.586611.7174794.670413e-09
0.5874331.7173784.676966e-09
0.5882571.7172774.683529e-09
0.5890831.7171774.690101e-09
0.589911.7170774.696682e-09
0.5907381.7169784.703273e-09
0.5915671.7168784.709873e-09
0.5923971.7167794.716482e-09
0.5932291.7166814.723100e-09
0.5940611.7165824.729728e-09
0.5948951.7164844.736365e-09
0.595731.7163874.743011e-09
0.5965661.7162894.749666e-09
0.5974031.7161924.756331e-09
0.5982421.7160964.763006e-09
0.5990821.7159994.769689e-09
0.5999221.7159034.776382e-09
0.61.7158944.777000e-09
0.6007641.7158075.020919e-09
0.6016081.7157125.289981e-09
0.6024521.7156165.559421e-09
0.6032981.7155215.829239e-09
0.6041441.7154276.099436e-09
0.6049921.7153336.370012e-09
0.6058411.7152396.640967e-09
0.6066921.7151456.912303e-09
0.6075431.7150517.184020e-09
0.6083961.7149587.456118e-09
0.609251.7148657.728598e-09
0.6101051.7147738.001461e-09
0.6109611.7146818.274706e-09
0.6118191.7145898.548335e-09
0.6126771.7144978.822348e-09
0.6135371.7144069.096746e-09
0.6143981.7143149.371528e-09
0.6152611.7142249.646697e-09
0.6161241.7141339.922251e-09
0.6169891.7140431.019819e-08
0.6178551.7139531.047452e-08
0.6187221.7138631.075124e-08
0.6195911.7137741.102834e-08
0.620461.7136851.130584e-08
0.6213311.7135961.158372e-08
0.6222031.7135071.186199e-08
0.6230761.7134191.214066e-08
0.6239511.7133311.241971e-08
0.6248271.7132431.269916e-08
0.6257041.7131551.297900e-08
0.6265821.7130681.325923e-08
0.6274611.7129811.353985e-08
0.6283421.7128951.382087e-08
0.6292241.7128081.410229e-08
0.6301071.7127221.438409e-08
0.6309911.7126361.466630e-08
0.6318771.712551.494890e-08
0.6327641.7124651.523189e-08
0.6336521.712381.551529e-08
0.6345411.7122951.579908e-08
0.6354321.712211.608327e-08
0.6363241.7121261.636786e-08
0.6372171.7120421.665284e-08
0.6381111.7119581.693823e-08
0.6390071.7118751.722402e-08
0.6399041.7117911.751021e-08
0.6408021.7117081.779680e-08
0.6417011.7116251.808380e-08
0.6426021.7115431.837119e-08
0.6435041.7114611.865899e-08
0.6444071.7113781.894719e-08
0.6453111.7112971.923580e-08
0.6462171.7112151.952482e-08
0.6471241.7111341.981424e-08
0.6480321.7110532.010406e-08
0.6489421.7109722.039429e-08
0.6498521.7108912.068493e-08
0.651.7108782.073200e-08
0.6507651.7108112.050020e-08
0.6516781.7107312.022329e-08
0.6525931.7106511.994599e-08
0.6535091.7105711.966830e-08
0.6544261.7104921.939022e-08
0.6553441.7104131.911175e-08
0.6562641.7103341.883289e-08
0.6571851.7102551.855364e-08
0.6581081.7101761.827400e-08
0.6590311.7100981.799396e-08
0.6599561.710021.771353e-08
0.6608821.7099421.743271e-08
0.661811.7098651.715149e-08
0.6627391.7097881.686988e-08
0.6636691.709711.658787e-08
0.6646011.7096341.630547e-08
0.6655331.7095571.602267e-08
0.6664671.7094811.573948e-08
0.6674031.7094041.545589e-08
0.668341.7093281.517189e-08
0.6692781.7092531.488751e-08
0.6702171.7091771.460272e-08
0.6711581.7091021.431753e-08
0.67211.7090271.403194e-08
0.6730431.7089521.374595e-08
0.6739881.7088771.345956e-08
0.6749331.7088031.317277e-08
0.6758811.7087291.288557e-08
0.6768291.7086551.259797e-08
0.6777791.7085811.230997e-08
0.6787311.7085071.202156e-08
0.6796831.7084341.173275e-08
0.6806371.7083611.144354e-08
0.6815921.7082881.115391e-08
0.6825491.7082151.086388e-08
0.6835071.7081431.057345e-08
0.6844661.708071.028261e-08
0.6854271.7079989.991354e-09
0.6863891.7079269.699693e-09
0.6873521.7078559.407623e-09
0.6883171.7077839.115143e-09
0.6892831.7077128.822253e-09
0.6902511.7076418.528951e-09
0.6912191.707578.235238e-09
0.692191.7074997.941113e-09
0.6931611.7074297.646575e-09
0.6941341.7073587.351623e-09
0.6951081.7072887.056258e-09
0.6960841.7072186.760478e-09
0.6970611.7071496.464282e-09
0.6980391.7070796.167671e-09
0.6990191.707015.870644e-09
0.71.7069415.573200e-09

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
—