Optical constants

Refractive index of E-SFH1 (HIKARI)

E-SFH1: 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
1.80808
Extinction coefficient k
4.19440e-08
Permittivity ε1
3.26917
Permittivity ε2
1.51677e-07
Absorption coefficient α
0.00897012 cm⁻¹
Penetration depth δ = λ/(2πk)
2.22963e+09 nm
Abbe number Vd
22.787
Chromatic dispersion dn/dλ
-0.176546 µm⁻¹
Group index ng
1.91182
Group velocity dispersion
371.281 fs²/mm
Dispersion parameter D
-2025.53 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-SFH1 (HIKARI): E-SFH1
hikari_e_sfh1 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-SFH1", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_sfh1.range_nm)  # (400, 700) nm
eps = hikari_e_sfh1.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=3.11728297−0.0142927167⁢λ2.0+0.0450361555⁢λ−2.0+0.00356204671⁢λ−4.0−0.000265603903⁢λ−6.0+4.19369865×10-5⁢λ−8.0+2.98920058×10-5⁢λ4.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C13.11728297
C2-0.0142927167
C32.0
C40.0450361555
C5-2.0
C60.00356204671
C7-4.0
C8-0.000265603903
C9-6.0
C104.19369865e-05
C11-8.0
C122.98920058e-05
C134.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.808090
Vd
22.787261
glass status
preferred
density
value: 3320
thermal expansion
value: 1.09e-05, temperature range: 243 343
dPgF
0.0236

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-SFH1 (HIKARI), E-SFH1: n and k versus wavelength
λ (µm)nk
0.41.8800961.090200e-06
0.4005611.8796321.070531e-06
0.4011241.8791711.050834e-06
0.4016871.8787121.031109e-06
0.402251.8782561.011357e-06
0.4028151.8778029.915768e-07
0.403381.8773519.717690e-07
0.4039461.8769029.519335e-07
0.4045131.8764559.320701e-07
0.4050811.8760119.121788e-07
0.405651.8755698.922596e-07
0.4062191.875138.723124e-07
0.4067891.8746938.523372e-07
0.407361.8742588.323340e-07
0.4079321.8738268.123028e-07
0.4085041.8733967.922434e-07
0.4090781.8729687.721558e-07
0.4096521.8725437.520401e-07
0.4102271.8721197.318962e-07
0.4108031.8716987.117239e-07
0.4113791.8712796.915234e-07
0.4119571.8708636.712945e-07
0.4125351.8704486.510372e-07
0.4131141.8700366.307514e-07
0.4136941.8696266.104372e-07
0.4142741.8692185.900945e-07
0.4148561.8688125.697233e-07
0.4154381.8684085.493234e-07
0.4160211.8680065.288949e-07
0.4166051.8676065.084378e-07
0.417191.8672084.879519e-07
0.4177751.8668134.674373e-07
0.4183621.8664194.468939e-07
0.4189491.8660284.263216e-07
0.4195371.8656384.057205e-07
0.421.8653333.894900e-07
0.4201261.865253.884516e-07
0.4207151.8648643.835757e-07
0.4213061.8644813.786930e-07
0.4218971.8640993.738034e-07
0.4224891.8637193.689070e-07
0.4230821.8633413.640037e-07
0.4236761.8629653.590935e-07
0.4242711.862593.541764e-07
0.4248661.8622183.492524e-07
0.4254621.8618473.443215e-07
0.426061.8614793.393836e-07
0.4266581.8611123.344389e-07
0.4272561.8607473.294872e-07
0.4278561.8603833.245285e-07
0.4284571.8600223.195629e-07
0.4290581.8596623.145904e-07
0.429661.8593043.096108e-07
0.4302631.8589483.046243e-07
0.4308671.8585932.996307e-07
0.4314721.8582412.946302e-07
0.4320771.857892.896226e-07
0.4326841.857542.846080e-07
0.4332911.8571932.795864e-07
0.4338991.8568462.745577e-07
0.4345081.8565022.695219e-07
0.4351181.8561592.644791e-07
0.4357291.8558182.594292e-07
0.436341.8554792.543723e-07
0.4369531.8551412.493082e-07
0.4375661.8548052.442370e-07
0.438181.854472.391587e-07
0.4387951.8541372.340733e-07
0.4394111.8538062.289807e-07
0.441.853492.241100e-07
0.4400281.8534762.240225e-07
0.4406451.8531472.220703e-07
0.4412641.8528212.201153e-07
0.4418831.8524952.181576e-07
0.4425031.8521712.161972e-07
0.4431241.8518492.142340e-07
0.4437461.8515282.122680e-07
0.4443691.8512092.102993e-07
0.4449931.8508912.083279e-07
0.4456171.8505752.063536e-07
0.4462431.850262.043766e-07
0.4468691.8499472.023968e-07
0.4474961.8496352.004143e-07
0.4481241.8493241.984289e-07
0.4487531.8490151.964408e-07
0.4493831.8487071.944499e-07
0.4500141.8484011.924562e-07
0.4506451.8480961.904597e-07
0.4512781.8477921.884603e-07
0.4519111.847491.864582e-07
0.4525461.8471891.844533e-07
0.4531811.846891.824455e-07
0.4538171.8465921.804350e-07
0.4544541.8462951.784216e-07
0.4550921.8461.764054e-07
0.455731.8457061.743863e-07
0.456371.8454131.723645e-07
0.4570111.8451211.703398e-07
0.4576521.8448311.683122e-07
0.4582941.8445421.662818e-07
0.4589381.8442551.642486e-07
0.4595821.8439681.622125e-07
0.461.8437831.608900e-07
0.4602271.8436831.604299e-07
0.4608731.8433991.591186e-07
0.4615191.8431171.578055e-07
0.4621671.8428351.564905e-07
0.4628161.8425551.551738e-07
0.4634651.8422761.538551e-07
0.4641161.8419991.525346e-07
0.4647671.8417221.512123e-07
0.465421.8414471.498881e-07
0.4660731.8411731.485620e-07
0.4667271.84091.472341e-07
0.4673821.8406281.459043e-07
0.4680381.8403581.445727e-07
0.4686951.8400881.432392e-07
0.4693531.839821.419038e-07
0.4700121.8395531.405665e-07
0.4706711.8392871.392274e-07
0.4713321.8390221.378863e-07
0.4719931.8387591.365434e-07
0.4726561.8384961.351987e-07
0.4733191.8382351.338520e-07
0.4739841.8379741.325034e-07
0.4746491.8377151.311530e-07
0.4753151.8374571.298006e-07
0.4759821.83721.284464e-07
0.476651.8369441.270902e-07
0.4773191.8366891.257321e-07
0.4779891.8364351.243722e-07
0.478661.8361831.230103e-07
0.4793321.8359311.216465e-07
0.481.8356821.202900e-07
0.4800051.835681.202837e-07
0.4806781.8354311.193504e-07
0.4813531.8351821.184158e-07
0.4820281.8349351.174799e-07
0.4827051.8346881.165426e-07
0.4833821.8344431.156041e-07
0.4840611.8341981.146642e-07
0.484741.8339551.137230e-07
0.4854211.8337131.127805e-07
0.4861021.8334711.118366e-07
0.4867841.8332311.108915e-07
0.4874671.8329911.099450e-07
0.4881521.8327531.089972e-07
0.4888371.8325151.080480e-07
0.4895231.8322791.070975e-07
0.490211.8320431.061457e-07
0.4908981.8318081.051925e-07
0.4915871.8315751.042381e-07
0.4922771.8313421.032822e-07
0.4929681.831111.023250e-07
0.493661.8308791.013665e-07
0.4943531.8306491.004067e-07
0.4950461.830429.944546e-08
0.4957411.8301929.848290e-08
0.4964371.8299659.751899e-08
0.4971341.8297399.655373e-08
0.4978321.8295149.558711e-08
0.498531.8292899.461914e-08
0.499231.8290669.364980e-08
0.4999311.8288439.267911e-08
0.51.8288219.258300e-08
0.5006321.8286219.208040e-08
0.5013351.82849.152188e-08
0.5020391.828189.096257e-08
0.5027431.8279619.040248e-08
0.5034491.8277438.984160e-08
0.5041551.8275258.927993e-08
0.5048631.8273098.871748e-08
0.5055721.8270938.815423e-08
0.5062811.8268788.759020e-08
0.5069921.8266648.702537e-08
0.5077031.8264518.645975e-08
0.5084161.8262398.589334e-08
0.509131.8260278.532613e-08
0.5098441.8258168.475813e-08
0.510561.8256068.418933e-08
0.5112761.8253978.361973e-08
0.5119941.8251898.304933e-08
0.5127121.8249828.247813e-08
0.5134321.8247758.190613e-08
0.5141531.8245698.133332e-08
0.5148741.8243648.075971e-08
0.5155971.824168.018530e-08
0.5163211.8239567.961008e-08
0.5170451.8237537.903406e-08
0.5177711.8235527.845722e-08
0.5184981.823357.787958e-08
0.5192251.823157.730112e-08
0.5199541.822957.672185e-08
0.5206841.8227517.614177e-08
0.5214151.8225537.556088e-08
0.5221471.8223567.497917e-08
0.5228791.8221597.439664e-08
0.5236131.8219637.381330e-08
0.5243481.8217687.322913e-08
0.5250841.8215747.264415e-08
0.5258211.821387.205835e-08
0.5265591.8211877.147172e-08
0.5272981.8209957.088427e-08
0.5280381.8208047.029600e-08
0.5287791.8206136.970690e-08
0.5295211.8204236.911697e-08
0.5302651.8202336.852622e-08
0.5310091.8200456.793464e-08
0.5317541.8198576.734222e-08
0.5325011.819676.674898e-08
0.5332481.8194836.615490e-08
0.5339961.8192976.555999e-08
0.5347461.8191126.496424e-08
0.5354961.8189286.436766e-08
0.5362481.8187446.377024e-08
0.5370011.8185616.317198e-08
0.5377541.8183786.257288e-08
0.5385091.8181966.197294e-08
0.5392651.8180156.137216e-08
0.5400221.8178356.077054e-08
0.540781.8176556.016807e-08
0.5415391.8174765.956475e-08
0.5422991.8172985.896059e-08
0.543061.817125.835558e-08
0.5438221.8169435.774973e-08
0.5445851.8167665.714302e-08
0.545351.816595.653546e-08
0.5461151.8164155.592705e-08
0.5468821.816245.531778e-08
0.5476491.8160665.470766e-08
0.5484181.8158935.409668e-08
0.5491871.815725.348484e-08
0.5499581.8155485.287215e-08
0.551.8155395.283900e-08
0.550731.8153775.262742e-08
0.5515031.8152065.240345e-08
0.5522771.8150365.217916e-08
0.5530521.8148665.195456e-08
0.5538291.8146975.172964e-08
0.5546061.8145295.150440e-08
0.5553841.8143615.127885e-08
0.5561641.8141945.105298e-08
0.5569441.8140275.082680e-08
0.5577261.8138615.060030e-08
0.5585091.8136965.037348e-08
0.5592931.8135315.014634e-08
0.5600781.8133674.991888e-08
0.5608641.8132034.969111e-08
0.5616511.813044.946301e-08
0.5624391.8128784.923459e-08
0.5632291.8127164.900586e-08
0.5640191.8125544.877680e-08
0.5648111.8123944.854742e-08
0.5656041.8122334.831772e-08
0.5663971.8120744.808770e-08
0.5671921.8119154.785735e-08
0.5679881.8117564.762668e-08
0.5687861.8115984.739569e-08
0.5695841.8114414.716437e-08
0.5703831.8112844.693273e-08
0.5711841.8111284.670076e-08
0.5719861.8109724.646847e-08
0.5727881.8108174.623585e-08
0.5735921.8106624.600290e-08
0.5743971.8105084.576963e-08
0.5752041.8103544.553603e-08
0.5760111.8102014.530210e-08
0.5768191.8100494.506785e-08
0.5776291.8098974.483326e-08
0.578441.8097454.459835e-08
0.5792511.8095944.436310e-08
0.5800641.8094444.412753e-08
0.5808791.8092944.389162e-08
0.5816941.8091444.365539e-08
0.582511.8089954.341882e-08
0.5833281.8088474.318192e-08
0.5841471.8086994.294469e-08
0.5849661.8085524.270713e-08
0.5857871.8084054.246923e-08
0.586611.8082594.223100e-08
0.5874331.8081134.199243e-08
0.5882571.8079674.175353e-08
0.5890831.8078234.151429e-08
0.589911.8076784.127472e-08
0.5907381.8075344.103481e-08
0.5915671.8073914.079457e-08
0.5923971.8072484.055398e-08
0.5932291.8071064.031306e-08
0.5940611.8069644.007180e-08
0.5948951.8068223.983021e-08
0.595731.8066813.958827e-08
0.5965661.8065413.934600e-08
0.5974031.8064013.910338e-08
0.5982421.8062613.886042e-08
0.5990821.8061223.861713e-08
0.5999221.8059843.837349e-08
0.61.8059713.835100e-08
0.6007641.8058463.863936e-08
0.6016081.8057083.895745e-08
0.6024521.8055713.927598e-08
0.6032981.8054343.959496e-08
0.6041441.8052983.991438e-08
0.6049921.8051624.023426e-08
0.6058411.8050264.055458e-08
0.6066921.8048914.087536e-08
0.6075431.8047574.119658e-08
0.6083961.8046234.151825e-08
0.609251.8044894.184038e-08
0.6101051.8043564.216296e-08
0.6109611.8042234.248599e-08
0.6118191.8040914.280947e-08
0.6126771.8039594.313341e-08
0.6135371.8038284.345780e-08
0.6143981.8036974.378265e-08
0.6152611.8035664.410796e-08
0.6161241.8034364.443372e-08
0.6169891.8033074.475993e-08
0.6178551.8031774.508661e-08
0.6187221.8030494.541374e-08
0.6195911.802924.574134e-08
0.620461.8027924.606939e-08
0.6213311.8026654.639790e-08
0.6222031.8025384.672688e-08
0.6230761.8024114.705631e-08
0.6239511.8022854.738621e-08
0.6248271.8021594.771658e-08
0.6257041.8020334.804740e-08
0.6265821.8019084.837869e-08
0.6274611.8017834.871044e-08
0.6283421.8016594.904267e-08
0.6292241.8015354.937535e-08
0.6301071.8014124.970851e-08
0.6309911.8012895.004213e-08
0.6318771.8011665.037622e-08
0.6327641.8010445.071077e-08
0.6336521.8009225.104580e-08
0.6345411.8008015.138130e-08
0.6354321.8006795.171727e-08
0.6363241.8005595.205371e-08
0.6372171.8004385.239062e-08
0.6381111.8003195.272801e-08
0.6390071.8001995.306587e-08
0.6399041.800085.340420e-08
0.6408021.7999615.374301e-08
0.6417011.7998435.408229e-08
0.6426021.7997255.442205e-08
0.6435041.7996075.476229e-08
0.6444071.799495.510300e-08
0.6453111.7993735.544420e-08
0.6462171.7992565.578587e-08
0.6471241.799145.612802e-08
0.6480321.7990255.647065e-08
0.6489421.7989095.681376e-08
0.6498521.7987945.715736e-08
0.651.7987755.721300e-08
0.6507651.7986795.736647e-08
0.6516781.7985655.754980e-08
0.6525931.7984515.773339e-08
0.6535091.7983385.791723e-08
0.6544261.7982245.810134e-08
0.6553441.7981115.828570e-08
0.6562641.7979995.847032e-08
0.6571851.7978875.865520e-08
0.6581081.7977755.884034e-08
0.6590311.7976635.902574e-08
0.6599561.7975525.921140e-08
0.6608821.7974425.939732e-08
0.661811.7973315.958350e-08
0.6627391.7972215.976995e-08
0.6636691.7971115.995665e-08
0.6646011.7970026.014362e-08
0.6655331.7968936.033085e-08
0.6664671.7967846.051834e-08
0.6674031.7966766.070609e-08
0.668341.7965686.089411e-08
0.6692781.796466.108239e-08
0.6702171.7963536.127094e-08
0.6711581.7962466.145975e-08
0.67211.7961396.164883e-08
0.6730431.7960336.183817e-08
0.6739881.7959266.202778e-08
0.6749331.7958216.221765e-08
0.6758811.7957156.240779e-08
0.6768291.795616.259820e-08
0.6777791.7955066.278887e-08
0.6787311.7954016.297981e-08
0.6796831.7952976.317102e-08
0.6806371.7951936.336250e-08
0.6815921.795096.355425e-08
0.6825491.7949876.374626e-08
0.6835071.7948846.393855e-08
0.6844661.7947816.413110e-08
0.6854271.7946796.432393e-08
0.6863891.7945776.451702e-08
0.6873521.7944756.471039e-08
0.6883171.7943746.490403e-08
0.6892831.7942736.509794e-08
0.6902511.7941736.529212e-08
0.6912191.7940726.548658e-08
0.692191.7939726.568131e-08
0.6931611.7938726.587631e-08
0.6941341.7937736.607158e-08
0.6951081.7936746.626713e-08
0.6960841.7935756.646295e-08
0.6970611.7934766.665905e-08
0.6980391.7933786.685543e-08
0.6990191.793286.705207e-08
0.71.7931826.724900e-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
—