Optical constants

Refractive index of E-LAF05 (HIKARI)

E-LAF05: 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
1.762
Extinction coefficient k
1.04495e-08
Permittivity ε1
3.10463
Permittivity ε2
3.68240e-08
Absorption coefficient α
0.00223472 cm⁻¹
Penetration depth δ = λ/(2πk)
8.94966e+09 nm
Abbe number Vd
40.107
Chromatic dispersion dn/dλ
-0.0966588 µm⁻¹
Group index ng
1.81879
Group velocity dispersion
184.672 fs²/mm
Dispersion parameter D
-1007.49 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-LAF05 (HIKARI): E-LAF05
hikari_e_laf05 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-LAF05", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_laf05.range_nm)  # (400, 700) nm
eps = hikari_e_laf05.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=3.02046444−0.0121632364⁢λ2.0+0.028023846⁢λ−2.0+0.000861441681⁢λ−4.0−1.40486471×10-5⁢λ−6.0+4.5613035×10-6⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C13.02046444
C2-0.0121632364
C32.0
C40.028023846
C5-2.0
C60.000861441681
C7-4.0
C8-1.40486471e-05
C9-6.0
C104.5613035e-06
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.762001
Vd
40.107044
glass code
762401
glass status
preferred
density
value: 3940
thermal expansion
value: 7.8e-06, temperature range: 243 343
dPgF
-0.0005

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-LAF05 (HIKARI), E-LAF05: n and k versus wavelength
λ (µm)nk
0.41.7974561.200100e-07
0.4005611.7972521.187283e-07
0.4011241.7970491.174448e-07
0.4016871.7968461.161595e-07
0.402251.7966451.148724e-07
0.4028151.7964441.135835e-07
0.403381.7962441.122927e-07
0.4039461.7960451.110002e-07
0.4045131.7958471.097059e-07
0.4050811.7956491.084097e-07
0.405651.7954521.071117e-07
0.4062191.7952571.058119e-07
0.4067891.7950611.045103e-07
0.407361.7948671.032068e-07
0.4079321.7946731.019015e-07
0.4085041.794481.005944e-07
0.4090781.7942889.928546e-08
0.4096521.7940979.797466e-08
0.4102271.7939069.666203e-08
0.4108031.7937169.534756e-08
0.4113791.7935279.403124e-08
0.4119571.7933399.271308e-08
0.4125351.7931519.139306e-08
0.4131141.7929649.007119e-08
0.4136941.7927788.874747e-08
0.4142741.7925938.742189e-08
0.4148561.7924088.609445e-08
0.4154381.7922248.476514e-08
0.4160211.7920418.343397e-08
0.4166051.7918588.210093e-08
0.417191.7916768.076602e-08
0.4177751.7914957.942924e-08
0.4183621.7913157.809058e-08
0.4189491.7911357.675004e-08
0.4195371.7909567.540762e-08
0.421.7908157.435000e-08
0.4201261.7907777.423777e-08
0.4207151.79067.371080e-08
0.4213061.7904237.318308e-08
0.4218971.7902467.265462e-08
0.4224891.7900717.212542e-08
0.4230821.7898967.159548e-08
0.4236761.7897217.106479e-08
0.4242711.7895477.053336e-08
0.4248661.7893747.000118e-08
0.4254621.7892026.946826e-08
0.426061.789036.893459e-08
0.4266581.7888596.840016e-08
0.4272561.7886896.786499e-08
0.4278561.7885196.732907e-08
0.4284571.788356.679240e-08
0.4290581.7881816.625497e-08
0.429661.7880146.571679e-08
0.4302631.7878466.517785e-08
0.4308671.787686.463815e-08
0.4314721.7875146.409770e-08
0.4320771.7873486.355649e-08
0.4326841.7871846.301452e-08
0.4332911.7870196.247179e-08
0.4338991.7868566.192830e-08
0.4345081.7866936.138405e-08
0.4351181.7865316.083903e-08
0.4357291.7863696.029324e-08
0.436341.7862085.974670e-08
0.4369531.7860475.919938e-08
0.4375661.7858875.865129e-08
0.438181.7857285.810244e-08
0.4387951.7855695.755281e-08
0.4394111.7854115.700242e-08
0.441.7852615.647600e-08
0.4400281.7852535.645899e-08
0.4406451.7850965.607967e-08
0.4412641.784945.569981e-08
0.4418831.7847845.531942e-08
0.4425031.7846295.493849e-08
0.4431241.7844745.455703e-08
0.4437461.784325.417504e-08
0.4443691.7841665.379251e-08
0.4449931.7840135.340944e-08
0.4456171.7838615.302584e-08
0.4462431.7837095.264169e-08
0.4468691.7835585.225701e-08
0.4474961.7834075.187179e-08
0.4481241.7832565.148602e-08
0.4487531.7831075.109972e-08
0.4493831.7829585.071287e-08
0.4500141.7828095.032548e-08
0.4506451.7826614.993755e-08
0.4512781.7825134.954907e-08
0.4519111.7823664.916005e-08
0.4525461.782224.877048e-08
0.4531811.7820744.838036e-08
0.4538171.7819284.798970e-08
0.4544541.7817834.759849e-08
0.4550921.7816394.720673e-08
0.455731.7814954.681442e-08
0.456371.7813514.642155e-08
0.4570111.7812084.602814e-08
0.4576521.7810664.563418e-08
0.4582941.7809244.523966e-08
0.4589381.7807834.484459e-08
0.4595821.7806424.444896e-08
0.461.7805514.419200e-08
0.4602271.7805014.403887e-08
0.4608731.7803614.360251e-08
0.4615191.7802224.316553e-08
0.4621671.7800834.272794e-08
0.4628161.7799454.228973e-08
0.4634651.7798074.185091e-08
0.4641161.7796694.141147e-08
0.4647671.7795324.097142e-08
0.465421.7793964.053075e-08
0.4660731.779264.008946e-08
0.4667271.7791243.964755e-08
0.4673821.7789893.920502e-08
0.4680381.7788553.876187e-08
0.4686951.778723.831810e-08
0.4693531.7785873.787370e-08
0.4700121.7784543.742868e-08
0.4706711.7783213.698304e-08
0.4713321.7781893.653677e-08
0.4719931.7780573.608987e-08
0.4726561.7779253.564235e-08
0.4733191.7777953.519420e-08
0.4739841.7776643.474542e-08
0.4746491.7775343.429601e-08
0.4753151.7774053.384597e-08
0.4759821.7772753.339530e-08
0.476651.7771473.294399e-08
0.4773191.7770193.249206e-08
0.4779891.7768913.203948e-08
0.478661.7767633.158628e-08
0.4793321.7766373.113243e-08
0.481.7765113.068100e-08
0.4800051.776513.067858e-08
0.4806781.7763843.031690e-08
0.4813531.7762582.995472e-08
0.4820281.7761332.959203e-08
0.4827051.7760092.922882e-08
0.4833821.7758842.886511e-08
0.4840611.775762.850089e-08
0.484741.7756372.813616e-08
0.4854211.7755142.777091e-08
0.4861021.7753912.740516e-08
0.4867841.7752692.703889e-08
0.4874671.7751472.667210e-08
0.4881521.7750262.630480e-08
0.4888371.7749052.593699e-08
0.4895231.7747842.556866e-08
0.490211.7746642.519981e-08
0.4908981.7745442.483044e-08
0.4915871.7744252.446056e-08
0.4922771.7743062.409015e-08
0.4929681.7741872.371923e-08
0.493661.7740692.334779e-08
0.4943531.7739512.297582e-08
0.4950461.7738342.260334e-08
0.4957411.7737172.223033e-08
0.4964371.77362.185679e-08
0.4971341.7734842.148273e-08
0.4978321.7733682.110815e-08
0.498531.7732532.073304e-08
0.499231.7731382.035741e-08
0.4999311.7730231.998125e-08
0.51.7730121.994400e-08
0.5006321.7729091.985808e-08
0.5013351.7727951.976261e-08
0.5020391.7726811.966700e-08
0.5027431.7725681.957125e-08
0.5034491.7724551.947537e-08
0.5041551.7723431.937936e-08
0.5048631.7722311.928321e-08
0.5055721.7721191.918693e-08
0.5062811.7720081.909051e-08
0.5069921.7718971.899396e-08
0.5077031.7717861.889727e-08
0.5084161.7716761.880044e-08
0.509131.7715661.870348e-08
0.5098441.7714571.860638e-08
0.510561.7713481.850915e-08
0.5112761.7712391.841178e-08
0.5119941.7711311.831428e-08
0.5127121.7710221.821663e-08
0.5134321.7709151.811885e-08
0.5141531.7708071.802093e-08
0.5148741.77071.792288e-08
0.5155971.7705941.782469e-08
0.5163211.7704871.772636e-08
0.5170451.7703811.762789e-08
0.5177711.7702761.752928e-08
0.5184981.770171.743054e-08
0.5192251.7700661.733165e-08
0.5199541.7699611.723263e-08
0.5206841.7698571.713347e-08
0.5214151.7697531.703417e-08
0.5221471.7696491.693473e-08
0.5228791.7695461.683515e-08
0.5236131.7694431.673543e-08
0.5243481.769341.663557e-08
0.5250841.7692381.653557e-08
0.5258211.7691361.643543e-08
0.5265591.7690341.633515e-08
0.5272981.7689331.623473e-08
0.5280381.7688321.613417e-08
0.5287791.7687321.603347e-08
0.5295211.7686311.593262e-08
0.5302651.7685311.583164e-08
0.5310091.7684321.573051e-08
0.5317541.7683321.562924e-08
0.5325011.7682331.552783e-08
0.5332481.7681341.542627e-08
0.5339961.7680361.532458e-08
0.5347461.7679381.522274e-08
0.5354961.767841.512076e-08
0.5362481.7677431.501863e-08
0.5370011.7676451.491636e-08
0.5377541.7675491.481395e-08
0.5385091.7674521.471139e-08
0.5392651.7673561.460869e-08
0.5400221.767261.450585e-08
0.540781.7671641.440286e-08
0.5415391.7670691.429973e-08
0.5422991.7669741.419645e-08
0.543061.7668791.409303e-08
0.5438221.7667841.398946e-08
0.5445851.766691.388575e-08
0.545351.7665961.378189e-08
0.5461151.7665031.367788e-08
0.5468821.766411.357373e-08
0.5476491.7663171.346944e-08
0.5484181.7662241.336499e-08
0.5491871.7661311.326040e-08
0.5499581.7660391.315567e-08
0.551.7660341.315000e-08
0.550731.7659471.309756e-08
0.5515031.7658561.304204e-08
0.5522771.7657651.298645e-08
0.5530521.7656741.293078e-08
0.5538291.7655831.287503e-08
0.5546061.7654921.281920e-08
0.5553841.7654021.276329e-08
0.5561641.7653121.270731e-08
0.5569441.7652231.265124e-08
0.5577261.7651341.259510e-08
0.5585091.7650451.253888e-08
0.5592931.7649561.248258e-08
0.5600781.7648671.242620e-08
0.5608641.7647791.236974e-08
0.5616511.7646911.231320e-08
0.5624391.7646031.225659e-08
0.5632291.7645161.219989e-08
0.5640191.7644291.214311e-08
0.5648111.7643421.208626e-08
0.5656041.7642551.202932e-08
0.5663971.7641691.197231e-08
0.5671921.7640831.191521e-08
0.5679881.7639971.185804e-08
0.5687861.7639121.180078e-08
0.5695841.7638261.174345e-08
0.5703831.7637411.168603e-08
0.5711841.7636561.162853e-08
0.5719861.7635721.157095e-08
0.5727881.7634881.151329e-08
0.5735921.7634041.145556e-08
0.5743971.763321.139773e-08
0.5752041.7632361.133983e-08
0.5760111.7631531.128185e-08
0.5768191.763071.122379e-08
0.5776291.7629871.116564e-08
0.578441.7629051.110741e-08
0.5792511.7628231.104910e-08
0.5800641.7627411.099071e-08
0.5808791.7626591.093224e-08
0.5816941.7625771.087368e-08
0.582511.7624961.081505e-08
0.5833281.7624151.075633e-08
0.5841471.7623341.069753e-08
0.5849661.7622541.063864e-08
0.5857871.7621731.057967e-08
0.586611.7620931.052062e-08
0.5874331.7620131.046149e-08
0.5882571.7619341.040228e-08
0.5890831.7618551.034298e-08
0.589911.7617751.028359e-08
0.5907381.7616971.022413e-08
0.5915671.7616181.016458e-08
0.5923971.7615391.010495e-08
0.5932291.7614611.004523e-08
0.5940611.7613839.985431e-09
0.5948951.7613069.925547e-09
0.595731.7612289.865579e-09
0.5965661.7611519.805527e-09
0.5974031.7610749.745390e-09
0.5982421.7609979.685170e-09
0.5990821.760929.624864e-09
0.5999221.7608449.564474e-09
0.61.7608379.558900e-09
0.6007641.7607689.571071e-09
0.6016081.7606929.584496e-09
0.6024521.7606169.597940e-09
0.6032981.7605419.611403e-09
0.6041441.7604669.624885e-09
0.6049921.7603919.638386e-09
0.6058411.7603169.651906e-09
0.6066921.7602419.665444e-09
0.6075431.7601679.679002e-09
0.6083961.7600939.692579e-09
0.609251.7600199.706175e-09
0.6101051.7599459.719790e-09
0.6109611.7598719.733424e-09
0.6118191.7597989.747077e-09
0.6126771.7597259.760749e-09
0.6135371.7596529.774441e-09
0.6143981.759589.788151e-09
0.6152611.7595079.801881e-09
0.6161241.7594359.815630e-09
0.6169891.7593639.829399e-09
0.6178551.7592919.843187e-09
0.6187221.7592199.856994e-09
0.6195911.7591489.870821e-09
0.620461.7590779.884667e-09
0.6213311.7590069.898532e-09
0.6222031.7589359.912417e-09
0.6230761.7588649.926321e-09
0.6239511.7587949.940245e-09
0.6248271.7587249.954189e-09
0.6257041.7586549.968152e-09
0.6265821.7585849.982134e-09
0.6274611.7585149.996136e-09
0.6283421.7584451.001016e-08
0.6292241.7583761.002420e-08
0.6301071.7583071.003826e-08
0.6309911.7582381.005234e-08
0.6318771.7581691.006644e-08
0.6327641.7581011.008056e-08
0.6336521.7580321.009470e-08
0.6345411.7579641.010886e-08
0.6354321.7578971.012304e-08
0.6363241.7578291.013724e-08
0.6372171.7577611.015146e-08
0.6381111.7576941.016570e-08
0.6390071.7576271.017996e-08
0.6399041.757561.019424e-08
0.6408021.7574931.020854e-08
0.6417011.7574271.022286e-08
0.6426021.757361.023720e-08
0.6435041.7572941.025156e-08
0.6444071.7572281.026594e-08
0.6453111.7571631.028034e-08
0.6462171.7570971.029477e-08
0.6471241.7570311.030921e-08
0.6480321.7569661.032367e-08
0.6489421.7569011.033815e-08
0.6498521.7568361.035265e-08
0.651.7568261.035500e-08
0.6507651.7567721.028188e-08
0.6516781.7567071.019453e-08
0.6525931.7566431.010705e-08
0.6535091.7565781.001946e-08
0.6544261.7565149.931739e-09
0.6553441.7564519.843897e-09
0.6562641.7563879.755931e-09
0.6571851.7563249.667842e-09
0.6581081.756269.579629e-09
0.6590311.7561979.491293e-09
0.6599561.7561349.402833e-09
0.6608821.7560719.314248e-09
0.661811.7560099.225539e-09
0.6627391.7559469.136706e-09
0.6636691.7558849.047748e-09
0.6646011.7558228.958665e-09
0.6655331.755768.869457e-09
0.6664671.7556988.780123e-09
0.6674031.7556378.690665e-09
0.668341.7555758.601081e-09
0.6692781.7555148.511371e-09
0.6702171.7554538.421535e-09
0.6711581.7553928.331573e-09
0.67211.7553318.241485e-09
0.6730431.7552718.151271e-09
0.6739881.755218.060929e-09
0.6749331.755157.970461e-09
0.6758811.755097.879866e-09
0.6768291.755037.789144e-09
0.6777791.754977.698295e-09
0.6787311.754917.607318e-09
0.6796831.7548517.516213e-09
0.6806371.7547917.424981e-09
0.6815921.7547327.333620e-09
0.6825491.7546737.242131e-09
0.6835071.7546147.150514e-09
0.6844661.7545567.058768e-09
0.6854271.7544976.966894e-09
0.6863891.7544396.874890e-09
0.6873521.7543816.782758e-09
0.6883171.7543226.690496e-09
0.6892831.7542656.598104e-09
0.6902511.7542076.505583e-09
0.6912191.7541496.412932e-09
0.692191.7540926.320151e-09
0.6931611.7540346.227240e-09
0.6941341.7539776.134198e-09
0.6951081.753926.041026e-09
0.6960841.7538635.947723e-09
0.6970611.7538075.854289e-09
0.6980391.753755.760724e-09
0.6990191.7536945.667028e-09
0.71.7536375.573200e-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
—