Optical constants

Refractive index of E-SF6 (HIKARI)

E-SF6: 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
1.80517
Extinction coefficient k
4.67830e-09
Permittivity ε1
3.25866
Permittivity ε2
1.68903e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
25.43
Chromatic dispersion dn/dλ
-0.158308 µm⁻¹
Group index ng
1.8982
Group velocity dispersion
327.494 fs²/mm
Dispersion parameter D
-1786.65 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-SF6 (HIKARI): E-SF6
hikari_e_sf6 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-SF6", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_sf6.range_nm)  # (400, 700) nm
eps = hikari_e_sf6.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=3.117837−0.0119410737⁢λ2.0+0.0443602265⁢λ−2.0+0.00181348056⁢λ−4.0+4.69669929×10-6⁢λ−6.0+1.61754136×10-5⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C13.117837
C2-0.0119410737
C32.0
C40.0443602265
C5-2.0
C60.00181348056
C7-4.0
C84.69669929e-06
C9-6.0
C101.61754136e-05
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.805181
Vd
25.430397
glass code
805254
glass status
preferred
density
value: 3340
thermal expansion
value: 1.06e-05, temperature range: 243 343
dPgF
0.0148

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-SF6 (HIKARI), E-SF6: n and k versus wavelength
λ (µm)nk
0.41.8681136.316900e-07
0.4005611.8677216.214754e-07
0.4011241.8673316.112464e-07
0.4016871.8669436.010031e-07
0.402251.8665585.907455e-07
0.4028151.8661745.804734e-07
0.403381.8657915.701869e-07
0.4039461.8654115.598860e-07
0.4045131.8650335.495706e-07
0.4050811.8646565.392407e-07
0.405651.8642815.288963e-07
0.4062191.8639085.185375e-07
0.4067891.8635375.081640e-07
0.407361.8631684.977761e-07
0.4079321.86284.873735e-07
0.4085041.8624354.769563e-07
0.4090781.8620714.665245e-07
0.4096521.8617084.560781e-07
0.4102271.8613484.456170e-07
0.4108031.8609894.351413e-07
0.4113791.8606324.246508e-07
0.4119571.8602774.141456e-07
0.4125351.8599234.036257e-07
0.4131141.8595713.930910e-07
0.4136941.8592213.825415e-07
0.4142741.8588723.719772e-07
0.4148561.8585253.613980e-07
0.4154381.8581793.508041e-07
0.4160211.8578363.401952e-07
0.4166051.8574943.295715e-07
0.417191.8571533.189329e-07
0.4177751.8568143.082793e-07
0.4183621.8564772.976108e-07
0.4189491.8561412.869273e-07
0.4195371.8558072.762288e-07
0.421.8555452.678000e-07
0.4201261.8554742.669703e-07
0.4207151.8551432.630741e-07
0.4213061.8548132.591725e-07
0.4218971.8544852.552653e-07
0.4224891.8541592.513527e-07
0.4230821.8538342.474347e-07
0.4236761.853512.435111e-07
0.4242711.8531882.395820e-07
0.4248661.8528672.356474e-07
0.4254621.8525482.317072e-07
0.426061.8522312.277616e-07
0.4266581.8519142.238104e-07
0.4272561.85162.198536e-07
0.4278561.8512862.158913e-07
0.4284571.8509742.119235e-07
0.4290581.8506642.079500e-07
0.429661.8503552.039710e-07
0.4302631.8500471.999864e-07
0.4308671.8497411.959962e-07
0.4314721.8494361.920005e-07
0.4320771.8491321.879991e-07
0.4326841.848831.839921e-07
0.4332911.8485291.799794e-07
0.4338991.848231.759612e-07
0.4345081.8479311.719373e-07
0.4351181.8476351.679077e-07
0.4357291.8473391.638725e-07
0.436341.8470451.598316e-07
0.4369531.8467521.557851e-07
0.4375661.846461.517329e-07
0.438181.846171.476750e-07
0.4387951.8458811.436113e-07
0.4394111.8455931.395420e-07
0.441.845321.356500e-07
0.4400281.8453071.355491e-07
0.4406451.8450211.332984e-07
0.4412641.8447371.310446e-07
0.4418831.8444551.287876e-07
0.4425031.8441731.265275e-07
0.4431241.8438931.242641e-07
0.4437461.8436141.219976e-07
0.4443691.8433361.197280e-07
0.4449931.8430591.174551e-07
0.4456171.8427841.151790e-07
0.4462431.8425091.128998e-07
0.4468691.8422361.106174e-07
0.4474961.8419641.083317e-07
0.4481241.8416941.060428e-07
0.4487531.8414241.037508e-07
0.4493831.8411561.014555e-07
0.4500141.8408889.915697e-08
0.4506451.8406229.685523e-08
0.4512781.8403579.455026e-08
0.4519111.8400939.224206e-08
0.4525461.8398318.993062e-08
0.4531811.8395698.761593e-08
0.4538171.8393088.529799e-08
0.4544541.8390498.297681e-08
0.4550921.8387918.065236e-08
0.455731.8385337.832465e-08
0.456371.8382777.599367e-08
0.4570111.8380227.365943e-08
0.4576521.8377687.132190e-08
0.4582941.8375156.898110e-08
0.4589381.8372636.663701e-08
0.4595821.8370126.428963e-08
0.461.836856.276500e-08
0.4602271.8367636.235775e-08
0.4608731.8365146.119722e-08
0.4615191.8362666.003506e-08
0.4621671.8360195.887127e-08
0.4628161.8357745.770584e-08
0.4634651.8355295.653878e-08
0.4641161.8352865.537008e-08
0.4647671.8350435.419975e-08
0.465421.8348015.302776e-08
0.4660731.8345615.185414e-08
0.4667271.8343215.067886e-08
0.4673821.8340824.950194e-08
0.4680381.8338454.832337e-08
0.4686951.8336084.714314e-08
0.4693531.8333724.596125e-08
0.4700121.8331374.477771e-08
0.4706711.8329044.359250e-08
0.4713321.8326714.240563e-08
0.4719931.8324394.121710e-08
0.4726561.8322084.002689e-08
0.4733191.8319783.883502e-08
0.4739841.8317493.764147e-08
0.4746491.831523.644625e-08
0.4753151.8312933.524935e-08
0.4759821.8310673.405078e-08
0.476651.8308413.285051e-08
0.4773191.8306173.164857e-08
0.4779891.8303933.044494e-08
0.478661.830172.923961e-08
0.4793321.8299482.803260e-08
0.481.8297292.683200e-08
0.4800051.8297272.682864e-08
0.4806781.8295072.632751e-08
0.4813531.8292882.582568e-08
0.4820281.829072.532314e-08
0.4827051.8288522.481989e-08
0.4833821.8286362.431594e-08
0.4840611.828422.381128e-08
0.484741.8282052.330591e-08
0.4854211.8279912.279984e-08
0.4861021.8277782.229305e-08
0.4867841.8275652.178555e-08
0.4874671.8273542.127734e-08
0.4881521.8271432.076842e-08
0.4888371.8269332.025878e-08
0.4895231.8267241.974843e-08
0.490211.8265161.923736e-08
0.4908981.8263081.872557e-08
0.4915871.8261021.821306e-08
0.4922771.8258961.769984e-08
0.4929681.8256911.718590e-08
0.493661.8254861.667123e-08
0.4943531.8252831.615584e-08
0.4950461.825081.563973e-08
0.4957411.8248781.512289e-08
0.4964371.8246771.460533e-08
0.4971341.8244771.408704e-08
0.4978321.8242771.356803e-08
0.498531.8240791.304828e-08
0.499231.8238811.252781e-08
0.4999311.8236831.200661e-08
0.51.8236641.195500e-08
0.5006321.8234871.185920e-08
0.5013351.8232911.175273e-08
0.5020391.8230961.164611e-08
0.5027431.8229021.153935e-08
0.5034491.8227081.143243e-08
0.5041551.8225151.132537e-08
0.5048631.8223231.121815e-08
0.5055721.8221321.111079e-08
0.5062811.8219411.100327e-08
0.5069921.8217511.089561e-08
0.5077031.8215621.078779e-08
0.5084161.8213741.067982e-08
0.509131.8211861.057170e-08
0.5098441.8209991.046342e-08
0.510561.8208131.035500e-08
0.5112761.8206271.024642e-08
0.5119941.8204421.013769e-08
0.5127121.8202581.002881e-08
0.5134321.8200749.919775e-09
0.5141531.8198919.810587e-09
0.5148741.8197099.701246e-09
0.5155971.8195279.591751e-09
0.5163211.8193479.482103e-09
0.5170451.8191669.372301e-09
0.5177711.8189879.262344e-09
0.5184981.8188089.152234e-09
0.5192251.818639.041968e-09
0.5199541.8184528.931548e-09
0.5206841.8182758.820974e-09
0.5214151.8180998.710243e-09
0.5221471.8179248.599358e-09
0.5228791.8177498.488317e-09
0.5236131.8175748.377120e-09
0.5243481.8174018.265767e-09
0.5250841.8172288.154257e-09
0.5258211.8170558.042591e-09
0.5265591.8168847.930769e-09
0.5272981.8167127.818789e-09
0.5280381.8165427.706653e-09
0.5287791.8163727.594358e-09
0.5295211.8162037.481907e-09
0.5302651.8160347.369297e-09
0.5310091.8158667.256530e-09
0.5317541.8156997.143604e-09
0.5325011.8155327.030519e-09
0.5332481.8153666.917276e-09
0.5339961.81526.803874e-09
0.5347461.8150356.690313e-09
0.5354961.814876.576592e-09
0.5362481.8147076.462712e-09
0.5370011.8145436.348672e-09
0.5377541.8143816.234472e-09
0.5385091.8142196.120112e-09
0.5392651.8140576.005591e-09
0.5400221.8138965.890909e-09
0.540781.8137365.776067e-09
0.5415391.8135765.661063e-09
0.5422991.8134175.545898e-09
0.543061.8132585.430571e-09
0.5438221.81315.315083e-09
0.5445851.8129435.199432e-09
0.545351.8127865.083619e-09
0.5461151.8126294.967643e-09
0.5468821.8124734.851505e-09
0.5476491.8123184.735203e-09
0.5484181.8121634.618739e-09
0.5491871.8120094.502111e-09
0.5499581.8118554.385319e-09
0.551.8118474.379000e-09
0.550731.8117024.384812e-09
0.5515031.811554.390965e-09
0.5522771.8113984.397126e-09
0.5530521.8112464.403297e-09
0.5538291.8110954.409475e-09
0.5546061.8109454.415663e-09
0.5553841.8107954.421859e-09
0.5561641.8106454.428064e-09
0.5569441.8104964.434277e-09
0.5577261.8103484.440499e-09
0.5585091.81024.446730e-09
0.5592931.8100534.452970e-09
0.5600781.8099064.459219e-09
0.5608641.809764.465476e-09
0.5616511.8096144.471742e-09
0.5624391.8094684.478017e-09
0.5632291.8093244.484300e-09
0.5640191.8091794.490593e-09
0.5648111.8090354.496894e-09
0.5656041.8088924.503204e-09
0.5663971.8087494.509523e-09
0.5671921.8086074.515851e-09
0.5679881.8084654.522188e-09
0.5687861.8083244.528533e-09
0.5695841.8081834.534888e-09
0.5703831.8080424.541251e-09
0.5711841.8079024.547624e-09
0.5719861.8077634.554005e-09
0.5727881.8076244.560395e-09
0.5735921.8074864.566795e-09
0.5743971.8073484.573203e-09
0.5752041.807214.579620e-09
0.5760111.8070734.586046e-09
0.5768191.8069364.592481e-09
0.5776291.80684.598926e-09
0.578441.8066644.605379e-09
0.5792511.8065294.611841e-09
0.5800641.8063944.618313e-09
0.5808791.806264.624793e-09
0.5816941.8061264.631283e-09
0.582511.8059934.637782e-09
0.5833281.805864.644290e-09
0.5841471.8057274.650807e-09
0.5849661.8055954.657333e-09
0.5857871.8054634.663868e-09
0.586611.8053324.670413e-09
0.5874331.8052014.676966e-09
0.5882571.8050714.683529e-09
0.5890831.8049414.690101e-09
0.589911.8048124.696682e-09
0.5907381.8046834.703273e-09
0.5915671.8045544.709873e-09
0.5923971.8044264.716482e-09
0.5932291.8042984.723100e-09
0.5940611.8041714.729728e-09
0.5948951.8040444.736365e-09
0.595731.8039174.743011e-09
0.5965661.8037914.749666e-09
0.5974031.8036664.756331e-09
0.5982421.803544.763006e-09
0.5990821.8034164.769689e-09
0.5999221.8032914.776382e-09
0.61.803284.777000e-09
0.6007641.8031674.783086e-09
0.6016081.8030444.789800e-09
0.6024521.802924.796523e-09
0.6032981.8027984.803255e-09
0.6041441.8026754.809997e-09
0.6049921.8025534.816748e-09
0.6058411.8024324.823509e-09
0.6066921.802314.830279e-09
0.6075431.802194.837059e-09
0.6083961.8020694.843848e-09
0.609251.8019494.850647e-09
0.6101051.8018294.857455e-09
0.6109611.801714.864273e-09
0.6118191.8015914.871100e-09
0.6126771.8014734.877937e-09
0.6135371.8013554.884784e-09
0.6143981.8012374.891640e-09
0.6152611.801124.898506e-09
0.6161241.8010034.905381e-09
0.6169891.8008864.912266e-09
0.6178551.800774.919161e-09
0.6187221.8006544.926066e-09
0.6195911.8005394.932980e-09
0.620461.8004244.939904e-09
0.6213311.8003094.946837e-09
0.6222031.8001954.953781e-09
0.6230761.8000814.960734e-09
0.6239511.7999674.967697e-09
0.6248271.7998544.974669e-09
0.6257041.7997414.981652e-09
0.6265821.7996284.988644e-09
0.6274611.7995164.995646e-09
0.6283421.7994045.002658e-09
0.6292241.7992935.009679e-09
0.6301071.7991825.016711e-09
0.6309911.7990715.023752e-09
0.6318771.7989615.030803e-09
0.6327641.7988515.037865e-09
0.6336521.7987415.044936e-09
0.6345411.7986315.052017e-09
0.6354321.7985225.059108e-09
0.6363241.7984145.066208e-09
0.6372171.7983055.073319e-09
0.6381111.7981975.080440e-09
0.6390071.798095.087571e-09
0.6399041.7979825.094712e-09
0.6408021.7978755.101863e-09
0.6417011.7977695.109024e-09
0.6426021.7976635.116194e-09
0.6435041.7975575.123375e-09
0.6444071.7974515.130567e-09
0.6453111.7973465.137768e-09
0.6462171.7972415.144979e-09
0.6471241.7971365.152200e-09
0.6480321.7970325.159432e-09
0.6489421.7969285.166674e-09
0.6498521.7968245.173926e-09
0.651.7968075.175100e-09
0.6507651.796725.181188e-09
0.6516781.7966175.188460e-09
0.6525931.7965155.195742e-09
0.6535091.7964125.203035e-09
0.6544261.796315.210338e-09
0.6553441.7962085.217651e-09
0.6562641.7961075.224974e-09
0.6571851.7960065.232308e-09
0.6581081.7959055.239652e-09
0.6590311.7958045.247006e-09
0.6599561.7957045.254371e-09
0.6608821.7956045.261746e-09
0.661811.7955045.269131e-09
0.6627391.7954055.276527e-09
0.6636691.7953065.283933e-09
0.6646011.7952075.291349e-09
0.6655331.7951095.298776e-09
0.6664671.7950115.306213e-09
0.6674031.7949135.313661e-09
0.668341.7948165.321119e-09
0.6692781.7947185.328588e-09
0.6702171.7946215.336067e-09
0.6711581.7945255.343557e-09
0.67211.7944285.351057e-09
0.6730431.7943325.358567e-09
0.6739881.7942375.366089e-09
0.6749331.7941415.373620e-09
0.6758811.7940465.381163e-09
0.6768291.7939515.388716e-09
0.6777791.7938565.396279e-09
0.6787311.7937625.403853e-09
0.6796831.7936685.411438e-09
0.6806371.7935745.419033e-09
0.6815921.7934815.426639e-09
0.6825491.7933885.434256e-09
0.6835071.7932955.441884e-09
0.6844661.7932025.449522e-09
0.6854271.793115.457171e-09
0.6863891.7930175.464830e-09
0.6873521.7929265.472500e-09
0.6883171.7928345.480182e-09
0.6892831.7927435.487873e-09
0.6902511.7926525.495576e-09
0.6912191.7925615.503290e-09
0.692191.7924715.511014e-09
0.6931611.792385.518749e-09
0.6941341.792295.526495e-09
0.6951081.7922015.534252e-09
0.6960841.7921115.542020e-09
0.6970611.7920225.549798e-09
0.6980391.7919335.557588e-09
0.6990191.7918455.565389e-09
0.71.7917565.573200e-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
—