Optical constants

Refractive index of E-LASF05 (HIKARI)

E-LASF05: 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
1.8348
Extinction coefficient k
5.78917e-08
Permittivity ε1
3.3665
Permittivity ε2
2.12440e-07
Absorption coefficient α
0.0123807 cm⁻¹
Penetration depth δ = λ/(2πk)
1.61542e+09 nm
Abbe number Vd
42.722
Chromatic dispersion dn/dλ
-0.0999677 µm⁻¹
Group index ng
1.89354
Group velocity dispersion
185.681 fs²/mm
Dispersion parameter D
-1012.99 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-LASF05 (HIKARI): E-LASF05
hikari_e_lasf05 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-LASF05", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_lasf05.range_nm)  # (400, 700) nm
eps = hikari_e_lasf05.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=3.27555498−0.0149587295⁢λ2.0+0.0310927229⁢λ−2.0+0.000682586922⁢λ−4.0+9.41310743×10-6⁢λ−6.0+1.5045853×10-6⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C13.27555498
C2-0.0149587295
C32.0
C40.0310927229
C5-2.0
C60.000682586922
C7-4.0
C89.41310743e-06
C9-6.0
C101.5045853e-06
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.834807
Vd
42.722417
glass code
835427
glass status
preferred
density
value: 4790
thermal expansion
value: 7.5e-06, temperature range: 243 343
dPgF
-0.009

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-LASF05 (HIKARI), E-LASF05: n and k versus wavelength
λ (µm)nk
0.41.8704941.332600e-07
0.4005611.8702951.321837e-07
0.4011241.8700971.311059e-07
0.4016871.8698991.300266e-07
0.402251.8697021.289458e-07
0.4028151.8695051.278635e-07
0.403381.869311.267796e-07
0.4039461.8691151.256942e-07
0.4045131.8689211.246073e-07
0.4050811.8687271.235189e-07
0.405651.8685351.224289e-07
0.4062191.8683421.213375e-07
0.4067891.8681511.202444e-07
0.407361.867961.191499e-07
0.4079321.867771.180538e-07
0.4085041.8675811.169562e-07
0.4090781.8673921.158570e-07
0.4096521.8672041.147563e-07
0.4102271.8670171.136540e-07
0.4108031.866831.125502e-07
0.4113791.8666441.114449e-07
0.4119571.8664591.103380e-07
0.4125351.8662741.092295e-07
0.4131141.866091.081195e-07
0.4136941.8659071.070080e-07
0.4142741.8657241.058948e-07
0.4148561.8655421.047801e-07
0.4154381.8653611.036639e-07
0.4160211.865181.025461e-07
0.4166051.8651.014267e-07
0.417191.864821.003057e-07
0.4177751.8646429.918318e-08
0.4183621.8644639.805907e-08
0.4189491.8642869.693338e-08
0.4195371.8641099.580611e-08
0.421.863979.491800e-08
0.4201261.8639329.481109e-08
0.4207151.8637579.430909e-08
0.4213061.8635829.380638e-08
0.4218971.8634079.330296e-08
0.4224891.8632339.279884e-08
0.4230821.863069.229401e-08
0.4236761.8628879.178847e-08
0.4242711.8627159.128222e-08
0.4248661.8625449.077526e-08
0.4254621.8623739.026759e-08
0.426061.8622028.975921e-08
0.4266581.8620338.925011e-08
0.4272561.8618648.874030e-08
0.4278561.8616958.822977e-08
0.4284571.8615278.771853e-08
0.4290581.861368.720657e-08
0.429661.8611938.669389e-08
0.4302631.8610278.618049e-08
0.4308671.8608618.566637e-08
0.4314721.8606968.515153e-08
0.4320771.8605328.463597e-08
0.4326841.8603688.411968e-08
0.4332911.8602058.360267e-08
0.4338991.8600428.308493e-08
0.4345081.859888.256647e-08
0.4351181.8597188.204728e-08
0.4357291.8595578.152736e-08
0.436341.8593968.100671e-08
0.4369531.8592368.048533e-08
0.4375661.8590777.996321e-08
0.438181.8589187.944037e-08
0.4387951.8587597.891679e-08
0.4394111.8586027.839247e-08
0.441.8584517.789100e-08
0.4400281.8584447.787521e-08
0.4406451.8582887.752316e-08
0.4412641.8581317.717060e-08
0.4418831.8579767.681756e-08
0.4425031.8578217.646401e-08
0.4431241.8576667.610997e-08
0.4437461.8575127.575544e-08
0.4443691.8573587.540040e-08
0.4449931.8572057.504487e-08
0.4456171.8570537.468884e-08
0.4462431.8569017.433231e-08
0.4468691.8567497.397528e-08
0.4474961.8565987.361775e-08
0.4481241.8564477.325971e-08
0.4487531.8562977.290118e-08
0.4493831.8561487.254214e-08
0.4500141.8559997.218260e-08
0.4506451.8558517.182255e-08
0.4512781.8557037.146199e-08
0.4519111.8555557.110093e-08
0.4525461.8554087.073937e-08
0.4531811.8552627.037729e-08
0.4538171.8551157.001471e-08
0.4544541.854976.965162e-08
0.4550921.8548256.928802e-08
0.455731.854686.892391e-08
0.456371.8545366.855929e-08
0.4570111.8543936.819416e-08
0.4576521.854256.782851e-08
0.4582941.8541076.746235e-08
0.4589381.8539656.709568e-08
0.4595821.8538236.672849e-08
0.461.8537316.649000e-08
0.4602271.8536826.639072e-08
0.4608731.8535416.610780e-08
0.4615191.8534016.582448e-08
0.4621671.8532616.554076e-08
0.4628161.8531216.525664e-08
0.4634651.8529836.497213e-08
0.4641161.8528446.468722e-08
0.4647671.8527066.440190e-08
0.465421.8525696.411619e-08
0.4660731.8524316.383007e-08
0.4667271.8522956.354356e-08
0.4673821.8521596.325664e-08
0.4680381.8520236.296932e-08
0.4686951.8518886.268159e-08
0.4693531.8517536.239346e-08
0.4700121.8516186.210493e-08
0.4706711.8514846.181599e-08
0.4713321.8513516.152665e-08
0.4719931.8512186.123690e-08
0.4726561.8510856.094674e-08
0.4733191.8509536.065618e-08
0.4739841.8508216.036521e-08
0.4746491.8506896.007383e-08
0.4753151.8505595.978204e-08
0.4759821.8504285.948984e-08
0.476651.8502985.919724e-08
0.4773191.8501685.890422e-08
0.4779891.8500395.861079e-08
0.478661.849915.831695e-08
0.4793321.8497825.802269e-08
0.481.8496545.773000e-08
0.4800051.8496545.772872e-08
0.4806781.8495265.753790e-08
0.4813531.8493995.734680e-08
0.4820281.8492725.715544e-08
0.4827051.8491465.696381e-08
0.4833821.849025.677191e-08
0.4840611.8488945.657974e-08
0.484741.8487695.638730e-08
0.4854211.8486445.619460e-08
0.4861021.848525.600162e-08
0.4867841.8483965.580837e-08
0.4874671.8482725.561485e-08
0.4881521.8481495.542105e-08
0.4888371.8480265.522699e-08
0.4895231.8479045.503265e-08
0.490211.8477825.483804e-08
0.4908981.847665.464316e-08
0.4915871.8475395.444800e-08
0.4922771.8474185.425257e-08
0.4929681.8472985.405687e-08
0.493661.8471785.386089e-08
0.4943531.8470585.366463e-08
0.4950461.8469395.346810e-08
0.4957411.846825.327130e-08
0.4964371.8467015.307422e-08
0.4971341.8465835.287686e-08
0.4978321.8464655.267922e-08
0.498531.8463485.248131e-08
0.499231.8462315.228312e-08
0.4999311.8461145.208465e-08
0.51.8461035.206500e-08
0.5006321.8459985.196286e-08
0.5013351.8458825.184935e-08
0.5020391.8457665.173569e-08
0.5027431.8456515.162186e-08
0.5034491.8455365.150788e-08
0.5041551.8454225.139373e-08
0.5048631.8453085.127943e-08
0.5055721.8451945.116496e-08
0.5062811.845085.105033e-08
0.5069921.8449675.093555e-08
0.5077031.8448555.082060e-08
0.5084161.8447425.070549e-08
0.509131.844635.059022e-08
0.5098441.8445195.047479e-08
0.510561.8444075.035919e-08
0.5112761.8442965.024343e-08
0.5119941.8441865.012751e-08
0.5127121.8440755.001143e-08
0.5134321.8439654.989519e-08
0.5141531.8438564.977878e-08
0.5148741.8437464.966221e-08
0.5155971.8436384.954547e-08
0.5163211.8435294.942857e-08
0.5170451.8434214.931151e-08
0.5177711.8433134.919428e-08
0.5184981.8432054.907689e-08
0.5192251.8430984.895933e-08
0.5199541.8429914.884161e-08
0.5206841.8428844.872372e-08
0.5214151.8427784.860567e-08
0.5221471.8426724.848745e-08
0.5228791.8425674.836907e-08
0.5236131.8424614.825051e-08
0.5243481.8423564.813180e-08
0.5250841.8422524.801291e-08
0.5258211.8421474.789386e-08
0.5265591.8420434.777465e-08
0.5272981.841944.765526e-08
0.5280381.8418364.753571e-08
0.5287791.8417334.741599e-08
0.5295211.8416314.729610e-08
0.5302651.8415284.717605e-08
0.5310091.8414264.705582e-08
0.5317541.8413244.693543e-08
0.5325011.8412234.681486e-08
0.5332481.8411214.669413e-08
0.5339961.8410214.657323e-08
0.5347461.840924.645216e-08
0.5354961.840824.633092e-08
0.5362481.840724.620951e-08
0.5370011.840624.608793e-08
0.5377541.8405214.596617e-08
0.5385091.8404224.584425e-08
0.5392651.8403234.572216e-08
0.5400221.8402244.559989e-08
0.540781.8401264.547745e-08
0.5415391.8400284.535485e-08
0.5422991.8399314.523206e-08
0.543061.8398334.510911e-08
0.5438221.8397364.498599e-08
0.5445851.839644.486269e-08
0.545351.8395434.473922e-08
0.5461151.8394474.461557e-08
0.5468821.8393514.449175e-08
0.5476491.8392564.436776e-08
0.5484181.8391614.424359e-08
0.5491871.8390664.411925e-08
0.5499581.8389714.399474e-08
0.551.8389664.398800e-08
0.550731.8388764.425801e-08
0.5515031.8387824.454383e-08
0.5522771.8386884.483006e-08
0.5530521.8385954.511669e-08
0.5538291.8385024.540372e-08
0.5546061.8384094.569116e-08
0.5553841.8383164.597900e-08
0.5561641.8382234.626724e-08
0.5569441.8381314.655589e-08
0.5577261.8380394.684494e-08
0.5585091.8379474.713440e-08
0.5592931.8378564.742427e-08
0.5600781.8377654.771454e-08
0.5608641.8376744.800522e-08
0.5616511.8375844.829630e-08
0.5624391.8374934.858780e-08
0.5632291.8374034.887970e-08
0.5640191.8373134.917202e-08
0.5648111.8372244.946474e-08
0.5656041.8371354.975788e-08
0.5663971.8370465.005142e-08
0.5671921.8369575.034538e-08
0.5679881.8368685.063975e-08
0.5687861.836785.093454e-08
0.5695841.8366925.122974e-08
0.5703831.8366045.152535e-08
0.5711841.8365175.182138e-08
0.5719861.836435.211782e-08
0.5727881.8363435.241468e-08
0.5735921.8362565.271195e-08
0.5743971.836175.300965e-08
0.5752041.8360835.330776e-08
0.5760111.8359985.360629e-08
0.5768191.8359125.390523e-08
0.5776291.8358265.420460e-08
0.578441.8357415.450439e-08
0.5792511.8356565.480460e-08
0.5800641.8355715.510523e-08
0.5808791.8354875.540628e-08
0.5816941.8354035.570775e-08
0.582511.8353195.600965e-08
0.5833281.8352355.631197e-08
0.5841471.8351525.661472e-08
0.5849661.8350685.691789e-08
0.5857871.8349855.722148e-08
0.586611.8349025.752551e-08
0.5874331.834825.782995e-08
0.5882571.8347385.813483e-08
0.5890831.8346565.844014e-08
0.589911.8345745.874587e-08
0.5907381.8344925.905203e-08
0.5915671.8344115.935862e-08
0.5923971.834335.966564e-08
0.5932291.8342495.997309e-08
0.5940611.8341686.028098e-08
0.5948951.8340876.058929e-08
0.595731.8340076.089804e-08
0.5965661.8339276.120723e-08
0.5974031.8338476.151684e-08
0.5982421.8337686.182689e-08
0.5990821.8336896.213738e-08
0.5999221.8336096.244830e-08
0.61.8336026.247700e-08
0.6007641.8335316.279733e-08
0.6016081.8334526.315068e-08
0.6024521.8333736.350452e-08
0.6032981.8332956.385886e-08
0.6041441.8332176.421370e-08
0.6049921.8331396.456903e-08
0.6058411.8330626.492487e-08
0.6066921.8329846.528120e-08
0.6075431.8329076.563803e-08
0.6083961.832836.599537e-08
0.609251.8327546.635320e-08
0.6101051.8326776.671154e-08
0.6109611.8326016.707038e-08
0.6118191.8325256.742973e-08
0.6126771.8324496.778958e-08
0.6135371.8323736.814993e-08
0.6143981.8322986.851079e-08
0.6152611.8322236.887216e-08
0.6161241.8321486.923403e-08
0.6169891.8320736.959641e-08
0.6178551.8319986.995930e-08
0.6187221.8319247.032270e-08
0.6195911.831857.068661e-08
0.620461.8317767.105103e-08
0.6213311.8317027.141597e-08
0.6222031.8316287.178141e-08
0.6230761.8315557.214737e-08
0.6239511.8314827.251384e-08
0.6248271.8314097.288082e-08
0.6257041.8313367.324832e-08
0.6265821.8312637.361634e-08
0.6274611.8311917.398487e-08
0.6283421.8311197.435392e-08
0.6292241.8310477.472349e-08
0.6301071.8309757.509357e-08
0.6309911.8309037.546418e-08
0.6318771.8308327.583531e-08
0.6327641.8307617.620695e-08
0.6336521.830697.657912e-08
0.6345411.8306197.695181e-08
0.6354321.8305487.732502e-08
0.6363241.8304787.769876e-08
0.6372171.8304087.807302e-08
0.6381111.8303377.844781e-08
0.6390071.8302687.882313e-08
0.6399041.8301987.919897e-08
0.6408021.8301287.957533e-08
0.6417011.8300597.995223e-08
0.6426021.829998.032965e-08
0.6435041.8299218.070761e-08
0.6444071.8298528.108609e-08
0.6453111.8297848.146511e-08
0.6462171.8297158.184466e-08
0.6471241.8296478.222474e-08
0.6480321.8295798.260535e-08
0.6489421.8295118.298650e-08
0.6498521.8294438.336819e-08
0.651.8294328.343000e-08
0.6507651.8293768.335518e-08
0.6516781.8293098.326580e-08
0.6525931.8292418.317629e-08
0.6535091.8291748.308666e-08
0.6544261.8291088.299690e-08
0.6553441.8290418.290701e-08
0.6562641.8289758.281700e-08
0.6571851.8289088.272686e-08
0.6581081.8288428.263660e-08
0.6590311.8287768.254621e-08
0.6599561.8287118.245569e-08
0.6608821.8286458.236505e-08
0.661811.828588.227427e-08
0.6627391.8285148.218337e-08
0.6636691.8284498.209235e-08
0.6646011.8283848.200119e-08
0.6655331.828328.190991e-08
0.6664671.8282558.181850e-08
0.6674031.8281918.172696e-08
0.668341.8281278.163529e-08
0.6692781.8280628.154350e-08
0.6702171.8279998.145157e-08
0.6711581.8279358.135952e-08
0.67211.8278718.126734e-08
0.6730431.8278088.117502e-08
0.6739881.8277458.108258e-08
0.6749331.8276828.099001e-08
0.6758811.8276198.089731e-08
0.6768291.8275568.080448e-08
0.6777791.8274938.071151e-08
0.6787311.8274318.061842e-08
0.6796831.8273698.052520e-08
0.6806371.8273078.043184e-08
0.6815921.8272458.033836e-08
0.6825491.8271838.024474e-08
0.6835071.8271218.015099e-08
0.6844661.827068.005712e-08
0.6854271.8269987.996310e-08
0.6863891.8269377.986896e-08
0.6873521.8268767.977469e-08
0.6883171.8268157.968028e-08
0.6892831.8267557.958574e-08
0.6902511.8266947.949107e-08
0.6912191.8266347.939626e-08
0.692191.8265737.930132e-08
0.6931611.8265137.920625e-08
0.6941341.8264537.911104e-08
0.6951081.8263937.901571e-08
0.6960841.8263347.892023e-08
0.6970611.8262747.882463e-08
0.6980391.8262157.872889e-08
0.6990191.8261567.863301e-08
0.71.8260977.853700e-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
—