Optical constants

Refractive index of E-SF03 (HIKARI)

E-SF03: 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
1.84665
Extinction coefficient k
4.67830e-09
Permittivity ε1
3.41013
Permittivity ε2
1.72784e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
23.776
Chromatic dispersion dn/dλ
-0.177739 µm⁻¹
Group index ng
1.95109
Group velocity dispersion
371.56 fs²/mm
Dispersion parameter D
-2027.06 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-SF03 (HIKARI): E-SF03
hikari_e_sf03 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-SF03", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_sf03.range_nm)  # (400, 700) nm
eps = hikari_e_sf03.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=3.25492893−0.0156026034⁢λ2.0+0.0458228209⁢λ−2.0+0.0037273634⁢λ−4.0−0.000238976694⁢λ−6.0+3.42745142×10-5⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C13.25492893
C2-0.0156026034
C32.0
C40.0458228209
C5-2.0
C60.0037273634
C7-4.0
C8-0.000238976694
C9-6.0
C103.42745142e-05
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.846660
Vd
23.776466
glass code
847238
glass status
preferred
density
value: 3530
thermal expansion
value: 1.02e-05, temperature range: 243 343
dPgF
0.0158

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-SF03 (HIKARI), E-SF03: n and k versus wavelength
λ (µm)nk
0.41.917918.735600e-07
0.4005611.9174628.589234e-07
0.4011241.9170178.442663e-07
0.4016871.9165738.295886e-07
0.402251.9161328.148903e-07
0.4028151.9156938.001714e-07
0.403381.9152567.854319e-07
0.4039461.9148227.706716e-07
0.4045131.9143897.558906e-07
0.4050811.9139597.410889e-07
0.405651.9135317.262664e-07
0.4062191.9131057.114231e-07
0.4067891.9126826.965590e-07
0.407361.912266.816740e-07
0.4079321.9118416.667681e-07
0.4085041.9114236.518413e-07
0.4090781.9110086.368935e-07
0.4096521.9105956.219248e-07
0.4102271.9101836.069350e-07
0.4108031.9097745.919242e-07
0.4113791.9093675.768924e-07
0.4119571.9089625.618394e-07
0.4125351.9085595.467653e-07
0.4131141.9081585.316701e-07
0.4136941.9077585.165537e-07
0.4142741.9073615.014160e-07
0.4148561.9069664.862572e-07
0.4154381.9065724.710770e-07
0.4160211.9061814.558755e-07
0.4166051.9057914.406527e-07
0.417191.9054034.254086e-07
0.4177751.9050174.101430e-07
0.4183621.9046333.948560e-07
0.4189491.9042513.795476e-07
0.4195371.9038713.642176e-07
0.421.9035733.521400e-07
0.4201261.9034923.508953e-07
0.4207151.9031163.450503e-07
0.4213061.9027413.391971e-07
0.4218971.9023673.333357e-07
0.4224891.9019963.274660e-07
0.4230821.9016263.215881e-07
0.4236761.9012583.157020e-07
0.4242711.9008923.098076e-07
0.4248661.9005283.039050e-07
0.4254621.9001652.979940e-07
0.426061.8998042.920748e-07
0.4266581.8994452.861472e-07
0.4272561.8990872.802114e-07
0.4278561.8987312.742672e-07
0.4284571.8983772.683146e-07
0.4290581.8980242.623537e-07
0.429661.8976732.563845e-07
0.4302631.8973232.504068e-07
0.4308671.8969762.444208e-07
0.4314721.8966292.384264e-07
0.4320771.8962852.324235e-07
0.4326841.8959422.264122e-07
0.4332911.89562.203925e-07
0.4338991.895262.143644e-07
0.4345081.8949222.083277e-07
0.4351181.8945852.022827e-07
0.4357291.8942491.962291e-07
0.436341.8939161.901670e-07
0.4369531.8935831.840964e-07
0.4375661.8932531.780173e-07
0.438181.8929231.719297e-07
0.4387951.8925951.658335e-07
0.4394111.8922691.597288e-07
0.441.8919591.538900e-07
0.4400281.8919441.537690e-07
0.4406451.8916211.510701e-07
0.4412641.8912991.483674e-07
0.4418831.8909781.456610e-07
0.4425031.8906591.429507e-07
0.4431241.8903411.402367e-07
0.4437461.8900251.375188e-07
0.4443691.889711.347971e-07
0.4449931.8893961.320716e-07
0.4456171.8890841.293423e-07
0.4462431.8887731.266091e-07
0.4468691.8884641.238721e-07
0.4474961.8881561.211313e-07
0.4481241.8878491.183866e-07
0.4487531.8875441.156381e-07
0.4493831.887241.128857e-07
0.4500141.8869371.101294e-07
0.4506451.8866361.073693e-07
0.4512781.8863351.046053e-07
0.4519111.8860371.018374e-07
0.4525461.8857399.906563e-08
0.4531811.8854439.628998e-08
0.4538171.8851489.351043e-08
0.4544541.8848549.072697e-08
0.4550921.8845628.793962e-08
0.455731.8842718.514834e-08
0.456371.8839818.235316e-08
0.4570111.8836927.955405e-08
0.4576521.8834057.675101e-08
0.4582941.8831187.394403e-08
0.4589381.8828337.113312e-08
0.4595821.8825496.831826e-08
0.461.8823666.649000e-08
0.4602271.8822676.586650e-08
0.4608731.8819856.408970e-08
0.4615191.8817056.231042e-08
0.4621671.8814266.052864e-08
0.4628161.8811485.874435e-08
0.4634651.8808725.695756e-08
0.4641161.8805965.516827e-08
0.4647671.8803225.337646e-08
0.465421.8800485.158214e-08
0.4660731.8797764.978530e-08
0.4667271.8795054.798593e-08
0.4673821.8792354.618404e-08
0.4680381.8789674.437963e-08
0.4686951.8786994.257268e-08
0.4693531.8784324.076319e-08
0.4700121.8781673.895117e-08
0.4706711.8779033.713660e-08
0.4713321.8776393.531948e-08
0.4719931.8773773.349982e-08
0.4726561.8771163.167760e-08
0.4733191.8768562.985282e-08
0.4739841.8765972.802548e-08
0.4746491.8763392.619558e-08
0.4753151.8760832.436310e-08
0.4759821.8758272.252806e-08
0.476651.8755722.069044e-08
0.4773191.8753181.885024e-08
0.4779891.8750661.700746e-08
0.478661.8748141.516210e-08
0.4793321.8745631.331414e-08
0.481.8743151.147600e-08
0.4800051.8743141.147431e-08
0.4806781.8740651.122184e-08
0.4813531.8738171.096901e-08
0.4820281.8735711.071583e-08
0.4827051.8733251.046229e-08
0.4833821.873081.020840e-08
0.4840611.8728379.954147e-09
0.484741.8725949.699541e-09
0.4854211.8723529.444577e-09
0.4861021.8721119.189256e-09
0.4867841.8718728.933576e-09
0.4874671.8716338.677537e-09
0.4881521.8713958.421139e-09
0.4888371.8711588.164382e-09
0.4895231.8709227.907263e-09
0.490211.8706877.649784e-09
0.4908981.8704527.391944e-09
0.4915871.8702197.133741e-09
0.4922771.8699876.875176e-09
0.4929681.8697556.616249e-09
0.493661.8695256.356957e-09
0.4943531.8692956.097302e-09
0.4950461.8690675.837283e-09
0.4957411.8688395.576899e-09
0.4964371.8686125.316149e-09
0.4971341.8683865.055033e-09
0.4978321.868164.793550e-09
0.498531.8679364.531701e-09
0.499231.8677134.269484e-09
0.4999311.867494.006899e-09
0.51.8674683.980900e-09
0.5006321.8672683.985934e-09
0.5013351.8670473.991529e-09
0.5020391.8668273.997131e-09
0.5027431.8666084.002741e-09
0.5034491.866394.008360e-09
0.5041551.8661724.013986e-09
0.5048631.8659564.019619e-09
0.5055721.865744.025261e-09
0.5062811.8655254.030911e-09
0.5069921.8653114.036569e-09
0.5077031.8650974.042234e-09
0.5084161.8648854.047908e-09
0.509131.8646734.053589e-09
0.5098441.8644624.059279e-09
0.510561.8642524.064976e-09
0.5112761.8640434.070682e-09
0.5119941.8638344.076395e-09
0.5127121.8636264.082117e-09
0.5134321.8634194.087846e-09
0.5141531.8632134.093584e-09
0.5148741.8630084.099329e-09
0.5155971.8628034.105083e-09
0.5163211.8625994.110845e-09
0.5170451.8623964.116614e-09
0.5177711.8621944.122392e-09
0.5184981.8619924.128178e-09
0.5192251.8617914.133973e-09
0.5199541.8615914.139775e-09
0.5206841.8613924.145585e-09
0.5214151.8611934.151404e-09
0.5221471.8609964.157231e-09
0.5228791.8607984.163066e-09
0.5236131.8606024.168909e-09
0.5243481.8604064.174760e-09
0.5250841.8602114.180620e-09
0.5258211.8600174.186487e-09
0.5265591.8598244.192363e-09
0.5272981.8596314.198248e-09
0.5280381.8594394.204140e-09
0.5287791.8592474.210041e-09
0.5295211.8590574.215950e-09
0.5302651.8588674.221867e-09
0.5310091.8586774.227793e-09
0.5317541.8584894.233727e-09
0.5325011.8583014.239669e-09
0.5332481.8581144.245620e-09
0.5339961.8579274.251579e-09
0.5347461.8577414.257546e-09
0.5354961.8575564.263522e-09
0.5362481.8573724.269506e-09
0.5370011.8571884.275499e-09
0.5377541.8570054.281500e-09
0.5385091.8568224.287509e-09
0.5392651.856644.293527e-09
0.5400221.8564594.299553e-09
0.540781.8562794.305588e-09
0.5415391.8560994.311631e-09
0.5422991.855924.317682e-09
0.543061.8557414.323743e-09
0.5438221.8555634.329811e-09
0.5445851.8553864.335888e-09
0.545351.8552094.341974e-09
0.5461151.8550334.348068e-09
0.5468821.8548584.354171e-09
0.5476491.8546834.360282e-09
0.5484181.8545094.366402e-09
0.5491871.8543354.372531e-09
0.5499581.8541624.378668e-09
0.551.8541534.379000e-09
0.550731.853994.384812e-09
0.5515031.8538184.390965e-09
0.5522771.8536474.397126e-09
0.5530521.8534774.403297e-09
0.5538291.8533074.409475e-09
0.5546061.8531384.415663e-09
0.5553841.8529694.421859e-09
0.5561641.8528014.428064e-09
0.5569441.8526334.434277e-09
0.5577261.8524664.440499e-09
0.5585091.85234.446730e-09
0.5592931.8521344.452970e-09
0.5600781.8519694.459219e-09
0.5608641.8518054.465476e-09
0.5616511.8516414.471742e-09
0.5624391.8514774.478017e-09
0.5632291.8513154.484300e-09
0.5640191.8511524.490593e-09
0.5648111.8509914.496894e-09
0.5656041.8508294.503204e-09
0.5663971.8506694.509523e-09
0.5671921.8505094.515851e-09
0.5679881.8503494.522188e-09
0.5687861.850194.528533e-09
0.5695841.8500324.534888e-09
0.5703831.8498744.541251e-09
0.5711841.8497174.547624e-09
0.5719861.849564.554005e-09
0.5727881.8494044.560395e-09
0.5735921.8492494.566795e-09
0.5743971.8490934.573203e-09
0.5752041.8489394.579620e-09
0.5760111.8487854.586046e-09
0.5768191.8486314.592481e-09
0.5776291.8484784.598926e-09
0.578441.8483264.605379e-09
0.5792511.8481744.611841e-09
0.5800641.8480234.618313e-09
0.5808791.8478724.624793e-09
0.5816941.8477214.631283e-09
0.582511.8475714.637782e-09
0.5833281.8474224.644290e-09
0.5841471.8472734.650807e-09
0.5849661.8471254.657333e-09
0.5857871.8469774.663868e-09
0.586611.846834.670413e-09
0.5874331.8466834.676966e-09
0.5882571.8465374.683529e-09
0.5890831.8463914.690101e-09
0.589911.8462454.696682e-09
0.5907381.8461014.703273e-09
0.5915671.8459564.709873e-09
0.5923971.8458124.716482e-09
0.5932291.8456694.723100e-09
0.5940611.8455264.729728e-09
0.5948951.8453844.736365e-09
0.595731.8452424.743011e-09
0.5965661.84514.749666e-09
0.5974031.8449594.756331e-09
0.5982421.8448194.763006e-09
0.5990821.8446794.769689e-09
0.5999221.8445394.776382e-09
0.61.8445264.777000e-09
0.6007641.84444.783086e-09
0.6016081.8442614.789800e-09
0.6024521.8441234.796523e-09
0.6032981.8439854.803255e-09
0.6041441.8438484.809997e-09
0.6049921.8437114.816748e-09
0.6058411.8435754.823509e-09
0.6066921.8434394.830279e-09
0.6075431.8433034.837059e-09
0.6083961.8431684.843848e-09
0.609251.8430344.850647e-09
0.6101051.84294.857455e-09
0.6109611.8427664.864273e-09
0.6118191.8426334.871100e-09
0.6126771.84254.877937e-09
0.6135371.8423674.884784e-09
0.6143981.8422364.891640e-09
0.6152611.8421044.898506e-09
0.6161241.8419734.905381e-09
0.6169891.8418424.912266e-09
0.6178551.8417124.919161e-09
0.6187221.8415824.926066e-09
0.6195911.8414534.932980e-09
0.620461.8413244.939904e-09
0.6213311.8411954.946837e-09
0.6222031.8410674.953781e-09
0.6230761.840944.960734e-09
0.6239511.8408124.967697e-09
0.6248271.8406864.974669e-09
0.6257041.8405594.981652e-09
0.6265821.8404334.988644e-09
0.6274611.8403074.995646e-09
0.6283421.8401825.002658e-09
0.6292241.8400575.009679e-09
0.6301071.8399335.016711e-09
0.6309911.8398095.023752e-09
0.6318771.8396855.030803e-09
0.6327641.8395625.037865e-09
0.6336521.8394395.044936e-09
0.6345411.8393175.052017e-09
0.6354321.8391955.059108e-09
0.6363241.8390735.066208e-09
0.6372171.8389525.073319e-09
0.6381111.8388315.080440e-09
0.6390071.838715.087571e-09
0.6399041.838595.094712e-09
0.6408021.8384715.101863e-09
0.6417011.8383515.109024e-09
0.6426021.8382325.116194e-09
0.6435041.8381145.123375e-09
0.6444071.8379965.130567e-09
0.6453111.8378785.137768e-09
0.6462171.837765.144979e-09
0.6471241.8376435.152200e-09
0.6480321.8375265.159432e-09
0.6489421.837415.166674e-09
0.6498521.8372945.173926e-09
0.651.8372755.175100e-09
0.6507651.8371795.181188e-09
0.6516781.8370635.188460e-09
0.6525931.8369485.195742e-09
0.6535091.8368345.203035e-09
0.6544261.836725.210338e-09
0.6553441.8366065.217651e-09
0.6562641.8364925.224974e-09
0.6571851.8363795.232308e-09
0.6581081.8362675.239652e-09
0.6590311.8361545.247006e-09
0.6599561.8360425.254371e-09
0.6608821.8359315.261746e-09
0.661811.8358195.269131e-09
0.6627391.8357085.276527e-09
0.6636691.8355985.283933e-09
0.6646011.8354875.291349e-09
0.6655331.8353775.298776e-09
0.6664671.8352685.306213e-09
0.6674031.8351585.313661e-09
0.668341.8350495.321119e-09
0.6692781.8349415.328588e-09
0.6702171.8348335.336067e-09
0.6711581.8347255.343557e-09
0.67211.8346175.351057e-09
0.6730431.834515.358567e-09
0.6739881.8344035.366089e-09
0.6749331.8342965.373620e-09
0.6758811.834195.381163e-09
0.6768291.8340845.388716e-09
0.6777791.8339785.396279e-09
0.6787311.8338735.403853e-09
0.6796831.8337685.411438e-09
0.6806371.8336635.419033e-09
0.6815921.8335595.426639e-09
0.6825491.8334555.434256e-09
0.6835071.8333515.441884e-09
0.6844661.8332485.449522e-09
0.6854271.8331455.457171e-09
0.6863891.8330425.464830e-09
0.6873521.8329395.472500e-09
0.6883171.8328375.480182e-09
0.6892831.8327355.487873e-09
0.6902511.8326345.495576e-09
0.6912191.8325335.503290e-09
0.692191.8324325.511014e-09
0.6931611.8323315.518749e-09
0.6941341.8322315.526495e-09
0.6951081.8321315.534252e-09
0.6960841.8320315.542020e-09
0.6970611.8319325.549798e-09
0.6980391.8318325.557588e-09
0.6990191.8317345.565389e-09
0.71.8316355.573200e-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
—