Optical constants

Refractive index of E-LASF016 (HIKARI)

E-LASF016: 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
1.7725
Extinction coefficient k
4.67830e-09
Permittivity ε1
3.14174
Permittivity ε2
1.65845e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
49.608
Chromatic dispersion dn/dλ
-0.0801058 µm⁻¹
Group index ng
1.81957
Group velocity dispersion
143.796 fs²/mm
Dispersion parameter D
-784.486 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-LASF016 (HIKARI): E-LASF016
hikari_e_lasf016 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-LASF016", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_lasf016.range_nm)  # (400, 700) nm
eps = hikari_e_lasf016.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=3.07241378−0.0146849804⁢λ2.0+0.0244285857⁢λ−2.0+0.000398183255⁢λ−4.0+1.22802438×10-5⁢λ−6.0+1.23709929×10-7⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C13.07241378
C2-0.0146849804
C32.0
C40.0244285857
C5-2.0
C60.000398183255
C7-4.0
C81.22802438e-05
C9-6.0
C101.23709929e-07
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.772499
Vd
49.607590
glass code
772496
glass status
preferred
density
value: 4250
thermal expansion
value: 7.1e-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-LASF016 (HIKARI), E-LASF016: n and k versus wavelength
λ (µm)nk
0.41.8004126.106100e-08
0.4005611.800266.019516e-08
0.4011241.8001085.932811e-08
0.4016871.7999575.845984e-08
0.402251.7998065.759035e-08
0.4028151.7996565.671964e-08
0.403381.7995065.584771e-08
0.4039461.7993565.497456e-08
0.4045131.7992085.410018e-08
0.4050811.7990595.322457e-08
0.405651.7989125.234773e-08
0.4062191.7987645.146967e-08
0.4067891.7986185.059037e-08
0.407361.7984714.970983e-08
0.4079321.7983254.882806e-08
0.4085041.798184.794506e-08
0.4090781.7980354.706081e-08
0.4096521.7978914.617532e-08
0.4102271.7977474.528859e-08
0.4108031.7976044.440062e-08
0.4113791.7974614.351140e-08
0.4119571.7973184.262093e-08
0.4125351.7971764.172921e-08
0.4131141.7970354.083624e-08
0.4136941.7968943.994202e-08
0.4142741.7967533.904654e-08
0.4148561.7966133.814980e-08
0.4154381.7964743.725181e-08
0.4160211.7963343.635255e-08
0.4166051.7961963.545204e-08
0.417191.7960583.455026e-08
0.4177751.795923.364721e-08
0.4183621.7957823.274290e-08
0.4189491.7956463.183731e-08
0.4195371.7955093.093046e-08
0.421.7954023.021600e-08
0.4201261.7953733.015859e-08
0.4207151.7952382.988900e-08
0.4213061.7951032.961903e-08
0.4218971.7949682.934868e-08
0.4224891.7948342.907795e-08
0.4230821.79472.880684e-08
0.4236761.7945672.853535e-08
0.4242711.7944342.826348e-08
0.4248661.7943012.799123e-08
0.4254621.7941692.771859e-08
0.426061.7940382.744558e-08
0.4266581.7939072.717218e-08
0.4272561.7937762.689839e-08
0.4278561.7936462.662423e-08
0.4284571.7935162.634967e-08
0.4290581.7933862.607474e-08
0.429661.7932572.579941e-08
0.4302631.7931292.552370e-08
0.4308671.7930012.524760e-08
0.4314721.7928732.497112e-08
0.4320771.7927452.469425e-08
0.4326841.7926192.441699e-08
0.4332911.7924922.413933e-08
0.4338991.7923662.386129e-08
0.4345081.792242.358286e-08
0.4351181.7921152.330404e-08
0.4357291.791992.302483e-08
0.436341.7918662.274523e-08
0.4369531.7917412.246523e-08
0.4375661.7916182.218484e-08
0.438181.7914942.190406e-08
0.4387951.7913722.162288e-08
0.4394111.7912492.134131e-08
0.441.7911322.107200e-08
0.4400281.7911272.105297e-08
0.4406451.7910052.062858e-08
0.4412641.7908842.020359e-08
0.4418831.7907631.977800e-08
0.4425031.7906431.935182e-08
0.4431241.7905221.892504e-08
0.4437461.7904031.849766e-08
0.4443691.7902831.806968e-08
0.4449931.7901641.764109e-08
0.4456171.7900461.721191e-08
0.4462431.7899271.678213e-08
0.4468691.7898091.635174e-08
0.4474961.7896921.592075e-08
0.4481241.7895751.548915e-08
0.4487531.7894581.505695e-08
0.4493831.7893421.462414e-08
0.4500141.7892261.419072e-08
0.4506451.789111.375670e-08
0.4512781.7889951.332206e-08
0.4519111.788881.288682e-08
0.4525461.7887651.245096e-08
0.4531811.7886511.201450e-08
0.4538171.7885371.157742e-08
0.4544541.7884241.113972e-08
0.4550921.7883111.070142e-08
0.455731.7881981.026249e-08
0.456371.7880869.822954e-09
0.4570111.7879749.382799e-09
0.4576521.7878628.942026e-09
0.4582941.7877518.500634e-09
0.4589381.787648.058622e-09
0.4595821.7875297.615991e-09
0.461.7874587.328500e-09
0.4602271.7874197.288754e-09
0.4608731.7873097.175492e-09
0.4615191.7871997.062070e-09
0.4621671.787096.948489e-09
0.4628161.7869816.834749e-09
0.4634651.7868736.720849e-09
0.4641161.7867646.606789e-09
0.4647671.7866566.492570e-09
0.465421.7865496.378189e-09
0.4660731.7864426.263649e-09
0.4667271.7863356.148947e-09
0.4673821.7862286.034085e-09
0.4680381.7861225.919061e-09
0.4686951.7860165.803876e-09
0.4693531.7859115.688529e-09
0.4700121.7858055.573021e-09
0.4706711.7857015.457350e-09
0.4713321.7855965.341517e-09
0.4719931.7854925.225521e-09
0.4726561.7853885.109363e-09
0.4733191.7852844.993041e-09
0.4739841.7851814.876556e-09
0.4746491.7850784.759908e-09
0.4753151.7849754.643096e-09
0.4759821.7848734.526120e-09
0.476651.7847714.408980e-09
0.4773191.7846694.291676e-09
0.4779891.7845684.174206e-09
0.478661.7844674.056572e-09
0.4793321.7843663.938773e-09
0.481.7842663.821600e-09
0.4800051.7842663.821636e-09
0.4806781.7841653.827002e-09
0.4813531.7840663.832376e-09
0.4820281.7839663.837757e-09
0.4827051.7838673.843145e-09
0.4833821.7837683.848541e-09
0.4840611.7836693.853945e-09
0.484741.7835713.859357e-09
0.4854211.7834733.864776e-09
0.4861021.7833753.870202e-09
0.4867841.7832783.875636e-09
0.4874671.7831813.881078e-09
0.4881521.7830843.886528e-09
0.4888371.7829873.891985e-09
0.4895231.7828913.897450e-09
0.490211.7827953.902922e-09
0.4908981.7826993.908402e-09
0.4915871.7826043.913890e-09
0.4922771.7825093.919385e-09
0.4929681.7824143.924889e-09
0.493661.782323.930400e-09
0.4943531.7822263.935918e-09
0.4950461.7821323.941445e-09
0.4957411.7820383.946979e-09
0.4964371.7819453.952521e-09
0.4971341.7818513.958071e-09
0.4978321.7817593.963628e-09
0.498531.7816663.969193e-09
0.499231.7815743.974766e-09
0.4999311.7814823.980347e-09
0.51.7814733.980900e-09
0.5006321.781393.985934e-09
0.5013351.7812993.991529e-09
0.5020391.7812083.997131e-09
0.5027431.7811174.002741e-09
0.5034491.7810264.008360e-09
0.5041551.7809364.013986e-09
0.5048631.7808464.019619e-09
0.5055721.7807564.025261e-09
0.5062811.7806664.030911e-09
0.5069921.7805774.036569e-09
0.5077031.7804884.042234e-09
0.5084161.7803994.047908e-09
0.509131.7803114.053589e-09
0.5098441.7802234.059279e-09
0.510561.7801354.064976e-09
0.5112761.7800474.070682e-09
0.5119941.779964.076395e-09
0.5127121.7798734.082117e-09
0.5134321.7797864.087846e-09
0.5141531.7796994.093584e-09
0.5148741.7796134.099329e-09
0.5155971.7795274.105083e-09
0.5163211.7794414.110845e-09
0.5170451.7793554.116614e-09
0.5177711.779274.122392e-09
0.5184981.7791854.128178e-09
0.5192251.77914.133973e-09
0.5199541.7790154.139775e-09
0.5206841.7789314.145585e-09
0.5214151.7788474.151404e-09
0.5221471.7787634.157231e-09
0.5228791.7786794.163066e-09
0.5236131.7785964.168909e-09
0.5243481.7785124.174760e-09
0.5250841.778434.180620e-09
0.5258211.7783474.186487e-09
0.5265591.7782644.192363e-09
0.5272981.7781824.198248e-09
0.5280381.77814.204140e-09
0.5287791.7780194.210041e-09
0.5295211.7779374.215950e-09
0.5302651.7778564.221867e-09
0.5310091.7777754.227793e-09
0.5317541.7776944.233727e-09
0.5325011.7776144.239669e-09
0.5332481.7775334.245620e-09
0.5339961.7774534.251579e-09
0.5347461.7773734.257546e-09
0.5354961.7772944.263522e-09
0.5362481.7772154.269506e-09
0.5370011.7771354.275499e-09
0.5377541.7770564.281500e-09
0.5385091.7769784.287509e-09
0.5392651.7768994.293527e-09
0.5400221.7768214.299553e-09
0.540781.7767434.305588e-09
0.5415391.7766654.311631e-09
0.5422991.7765884.317682e-09
0.543061.776514.323743e-09
0.5438221.7764334.329811e-09
0.5445851.7763564.335888e-09
0.545351.776284.341974e-09
0.5461151.7762034.348068e-09
0.5468821.7761274.354171e-09
0.5476491.7760514.360282e-09
0.5484181.7759754.366402e-09
0.5491871.77594.372531e-09
0.5499581.7758244.378668e-09
0.551.775824.379000e-09
0.550731.7757494.384812e-09
0.5515031.7756744.390965e-09
0.5522771.7755994.397126e-09
0.5530521.7755254.403297e-09
0.5538291.775454.409475e-09
0.5546061.7753764.415663e-09
0.5553841.7753024.421859e-09
0.5561641.7752294.428064e-09
0.5569441.7751554.434277e-09
0.5577261.7750824.440499e-09
0.5585091.7750094.446730e-09
0.5592931.7749364.452970e-09
0.5600781.7748634.459219e-09
0.5608641.7747914.465476e-09
0.5616511.7747194.471742e-09
0.5624391.7746474.478017e-09
0.5632291.7745754.484300e-09
0.5640191.7745034.490593e-09
0.5648111.7744324.496894e-09
0.5656041.774364.503204e-09
0.5663971.7742894.509523e-09
0.5671921.7742194.515851e-09
0.5679881.7741484.522188e-09
0.5687861.7740774.528533e-09
0.5695841.7740074.534888e-09
0.5703831.7739374.541251e-09
0.5711841.7738674.547624e-09
0.5719861.7737984.554005e-09
0.5727881.7737284.560395e-09
0.5735921.7736594.566795e-09
0.5743971.773594.573203e-09
0.5752041.7735214.579620e-09
0.5760111.7734524.586046e-09
0.5768191.7733834.592481e-09
0.5776291.7733154.598926e-09
0.578441.7732474.605379e-09
0.5792511.7731794.611841e-09
0.5800641.7731114.618313e-09
0.5808791.7730444.624793e-09
0.5816941.7729764.631283e-09
0.582511.7729094.637782e-09
0.5833281.7728424.644290e-09
0.5841471.7727754.650807e-09
0.5849661.7727084.657333e-09
0.5857871.7726424.663868e-09
0.586611.7725754.670413e-09
0.5874331.7725094.676966e-09
0.5882571.7724434.683529e-09
0.5890831.7723784.690101e-09
0.589911.7723124.696682e-09
0.5907381.7722474.703273e-09
0.5915671.7721814.709873e-09
0.5923971.7721164.716482e-09
0.5932291.7720514.723100e-09
0.5940611.7719874.729728e-09
0.5948951.7719224.736365e-09
0.595731.7718584.743011e-09
0.5965661.7717934.749666e-09
0.5974031.7717294.756331e-09
0.5982421.7716664.763006e-09
0.5990821.7716024.769689e-09
0.5999221.7715384.776382e-09
0.61.7715324.777000e-09
0.6007641.7714754.783086e-09
0.6016081.7714124.789800e-09
0.6024521.7713494.796523e-09
0.6032981.7712864.803255e-09
0.6041441.7712234.809997e-09
0.6049921.7711614.816748e-09
0.6058411.7710984.823509e-09
0.6066921.7710364.830279e-09
0.6075431.7709744.837059e-09
0.6083961.7709124.843848e-09
0.609251.7708514.850647e-09
0.6101051.7707894.857455e-09
0.6109611.7707284.864273e-09
0.6118191.7706674.871100e-09
0.6126771.7706054.877937e-09
0.6135371.7705454.884784e-09
0.6143981.7704844.891640e-09
0.6152611.7704234.898506e-09
0.6161241.7703634.905381e-09
0.6169891.7703034.912266e-09
0.6178551.7702434.919161e-09
0.6187221.7701834.926066e-09
0.6195911.7701234.932980e-09
0.620461.7700634.939904e-09
0.6213311.7700044.946837e-09
0.6222031.7699444.953781e-09
0.6230761.7698854.960734e-09
0.6239511.7698264.967697e-09
0.6248271.7697674.974669e-09
0.6257041.7697094.981652e-09
0.6265821.769654.988644e-09
0.6274611.7695924.995646e-09
0.6283421.7695335.002658e-09
0.6292241.7694755.009679e-09
0.6301071.7694175.016711e-09
0.6309911.769365.023752e-09
0.6318771.7693025.030803e-09
0.6327641.7692445.037865e-09
0.6336521.7691875.044936e-09
0.6345411.769135.052017e-09
0.6354321.7690735.059108e-09
0.6363241.7690165.066208e-09
0.6372171.7689595.073319e-09
0.6381111.7689025.080440e-09
0.6390071.7688465.087571e-09
0.6399041.768795.094712e-09
0.6408021.7687335.101863e-09
0.6417011.7686775.109024e-09
0.6426021.7686215.116194e-09
0.6435041.7685665.123375e-09
0.6444071.768515.130567e-09
0.6453111.7684555.137768e-09
0.6462171.7683995.144979e-09
0.6471241.7683445.152200e-09
0.6480321.7682895.159432e-09
0.6489421.7682345.166674e-09
0.6498521.7681795.173926e-09
0.651.768175.175100e-09
0.6507651.7681245.181188e-09
0.6516781.768075.188460e-09
0.6525931.7680155.195742e-09
0.6535091.7679615.203035e-09
0.6544261.7679075.210338e-09
0.6553441.7678535.217651e-09
0.6562641.7677995.224974e-09
0.6571851.7677455.232308e-09
0.6581081.7676925.239652e-09
0.6590311.7676385.247006e-09
0.6599561.7675855.254371e-09
0.6608821.7675325.261746e-09
0.661811.7674795.269131e-09
0.6627391.7674265.276527e-09
0.6636691.7673735.283933e-09
0.6646011.767325.291349e-09
0.6655331.7672685.298776e-09
0.6664671.7672155.306213e-09
0.6674031.7671635.313661e-09
0.668341.7671115.321119e-09
0.6692781.7670595.328588e-09
0.6702171.7670075.336067e-09
0.6711581.7669555.343557e-09
0.67211.7669035.351057e-09
0.6730431.7668525.358567e-09
0.6739881.76685.366089e-09
0.6749331.7667495.373620e-09
0.6758811.7666985.381163e-09
0.6768291.7666475.388716e-09
0.6777791.7665965.396279e-09
0.6787311.7665455.403853e-09
0.6796831.7664945.411438e-09
0.6806371.7664445.419033e-09
0.6815921.7663935.426639e-09
0.6825491.7663435.434256e-09
0.6835071.7662935.441884e-09
0.6844661.7662435.449522e-09
0.6854271.7661935.457171e-09
0.6863891.7661435.464830e-09
0.6873521.7660935.472500e-09
0.6883171.7660435.480182e-09
0.6892831.7659945.487873e-09
0.6902511.7659445.495576e-09
0.6912191.7658955.503290e-09
0.692191.7658465.511014e-09
0.6931611.7657975.518749e-09
0.6941341.7657485.526495e-09
0.6951081.7656995.534252e-09
0.6960841.765655.542020e-09
0.6970611.7656025.549798e-09
0.6980391.7655535.557588e-09
0.6990191.7655055.565389e-09
0.71.7654575.573200e-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
—