Optical constants

Refractive index of E-LAF016 (HIKARI)

E-LAF016: 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
1.80099
Extinction coefficient k
4.67830e-09
Permittivity ε1
3.24358
Permittivity ε2
1.68512e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
34.964
Chromatic dispersion dn/dλ
-0.116098 µm⁻¹
Group index ng
1.86921
Group velocity dispersion
225.463 fs²/mm
Dispersion parameter D
-1230.02 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-LAF016 (HIKARI): E-LAF016
hikari_e_laf016 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-LAF016", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_laf016.range_nm)  # (400, 700) nm
eps = hikari_e_laf016.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=3.14158865−0.0147653343⁢λ2.0+0.0334231042⁢λ−2.0+0.00125430167⁢λ−4.0−3.49277287×10-5⁢λ−6.0+8.7589435×10-6⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C13.14158865
C2-0.0147653343
C32.0
C40.0334231042
C5-2.0
C60.00125430167
C7-4.0
C8-3.49277287e-05
C9-6.0
C108.7589435e-06
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.800999
Vd
34.963582
glass code
801350
glass status
preferred
density
value: 3630
thermal expansion
value: 7.6e-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-LAF016 (HIKARI), E-LAF016: n and k versus wavelength
λ (µm)nk
0.41.8444392.412800e-07
0.4005611.8441832.376555e-07
0.4011241.8439282.340260e-07
0.4016871.8436752.303913e-07
0.402251.8434222.267515e-07
0.4028151.8431712.231067e-07
0.403381.8429212.194567e-07
0.4039461.8426712.158016e-07
0.4045131.8424232.121414e-07
0.4050811.8421762.084760e-07
0.405651.841932.048055e-07
0.4062191.8416852.011298e-07
0.4067891.8414411.974490e-07
0.407361.8411981.937630e-07
0.4079321.8409561.900718e-07
0.4085041.8407151.863755e-07
0.4090781.8404751.826739e-07
0.4096521.8402361.789672e-07
0.4102271.8399991.752553e-07
0.4108031.8397621.715381e-07
0.4113791.8395261.678158e-07
0.4119571.8392911.640882e-07
0.4125351.8390571.603554e-07
0.4131141.8388241.566173e-07
0.4136941.8385921.528740e-07
0.4142741.8383611.491254e-07
0.4148561.8381311.453716e-07
0.4154381.8379021.416125e-07
0.4160211.8376741.378482e-07
0.4166051.8374471.340785e-07
0.417191.8372211.303036e-07
0.4177751.8369961.265234e-07
0.4183621.8367711.227378e-07
0.4189491.8365481.189470e-07
0.4195371.8363251.151508e-07
0.421.8361511.121600e-07
0.4201261.8361041.117880e-07
0.4207151.8358831.100414e-07
0.4213061.8356631.082924e-07
0.4218971.8354441.065409e-07
0.4224891.8352261.047869e-07
0.4230821.8350091.030305e-07
0.4236761.8347931.012716e-07
0.4242711.8345779.951025e-08
0.4248661.8343639.774642e-08
0.4254621.8341499.598012e-08
0.426061.8339369.421133e-08
0.4266581.8337249.244006e-08
0.4272561.8335139.066631e-08
0.4278561.8333038.889006e-08
0.4284571.8330948.711133e-08
0.4290581.8328858.533009e-08
0.429661.8326778.354636e-08
0.4302631.8324718.176012e-08
0.4308671.8322647.997138e-08
0.4314721.8320597.818012e-08
0.4320771.8318557.638636e-08
0.4326841.8316517.459007e-08
0.4332911.8314487.279126e-08
0.4338991.8312467.098993e-08
0.4345081.8310456.918607e-08
0.4351181.8308456.737968e-08
0.4357291.8306456.557075e-08
0.436341.8304466.375929e-08
0.4369531.8302486.194528e-08
0.4375661.8300516.012872e-08
0.438181.8298545.830962e-08
0.4387951.8296585.648796e-08
0.4394111.8294635.466375e-08
0.441.8292785.291900e-08
0.4400281.8292695.287113e-08
0.4406451.8290755.180362e-08
0.4412641.8288835.073462e-08
0.4418831.8286914.966411e-08
0.4425031.8284994.859210e-08
0.4431241.8283094.751859e-08
0.4437461.8281194.644357e-08
0.4443691.827934.536704e-08
0.4449931.8277424.428900e-08
0.4456171.8275544.320945e-08
0.4462431.8273674.212838e-08
0.4468691.8271814.104579e-08
0.4474961.8269953.996169e-08
0.4481241.8268113.887606e-08
0.4487531.8266263.778891e-08
0.4493831.8264433.670024e-08
0.4500141.826263.561003e-08
0.4506451.8260783.451830e-08
0.4512781.8258973.342503e-08
0.4519111.8257173.233023e-08
0.4525461.8255373.123389e-08
0.4531811.8253573.013602e-08
0.4538171.8251792.903660e-08
0.4544541.8250012.793564e-08
0.4550921.8248242.683313e-08
0.455731.8246472.572908e-08
0.456371.8244712.462348e-08
0.4570111.8242962.351632e-08
0.4576521.8241212.240762e-08
0.4582941.8239472.129735e-08
0.4589381.8237742.018553e-08
0.4595821.8236011.907215e-08
0.461.823491.834900e-08
0.4602271.8234291.818435e-08
0.4608731.8232581.771516e-08
0.4615191.8230871.724531e-08
0.4621671.8229171.677480e-08
0.4628161.8227481.630363e-08
0.4634651.8225791.583179e-08
0.4641161.8224111.535930e-08
0.4647671.8222431.488614e-08
0.465421.8220761.441232e-08
0.4660731.821911.393783e-08
0.4667271.8217441.346268e-08
0.4673821.8215791.298686e-08
0.4680381.8214141.251037e-08
0.4686951.821251.203322e-08
0.4693531.8210871.155539e-08
0.4700121.8209241.107689e-08
0.4706711.8207621.059773e-08
0.4713321.82061.011788e-08
0.4719931.8204399.637370e-09
0.4726561.8202799.156181e-09
0.4733191.8201198.674317e-09
0.4739841.8199598.191777e-09
0.4746491.8198017.708559e-09
0.4753151.8196437.224663e-09
0.4759821.8194856.740088e-09
0.476651.8193286.254833e-09
0.4773191.8191725.768897e-09
0.4779891.8190165.282279e-09
0.478661.818864.794977e-09
0.4793321.8187064.306992e-09
0.481.8185533.821600e-09
0.4800051.8185523.821636e-09
0.4806781.8183983.827002e-09
0.4813531.8182453.832376e-09
0.4820281.8180923.837757e-09
0.4827051.817943.843145e-09
0.4833821.8177893.848541e-09
0.4840611.8176383.853945e-09
0.484741.8174873.859357e-09
0.4854211.8173373.864776e-09
0.4861021.8171883.870202e-09
0.4867841.8170393.875636e-09
0.4874671.8168913.881078e-09
0.4881521.8167433.886528e-09
0.4888371.8165963.891985e-09
0.4895231.8164493.897450e-09
0.490211.8163033.902922e-09
0.4908981.8161573.908402e-09
0.4915871.8160123.913890e-09
0.4922771.8158673.919385e-09
0.4929681.8157233.924889e-09
0.493661.8155793.930400e-09
0.4943531.8154363.935918e-09
0.4950461.8152943.941445e-09
0.4957411.8151513.946979e-09
0.4964371.815013.952521e-09
0.4971341.8148683.958071e-09
0.4978321.8147283.963628e-09
0.498531.8145883.969193e-09
0.499231.8144483.974766e-09
0.4999311.8143093.980347e-09
0.51.8142953.980900e-09
0.5006321.814173.985934e-09
0.5013351.8140313.991529e-09
0.5020391.8138943.997131e-09
0.5027431.8137564.002741e-09
0.5034491.8136194.008360e-09
0.5041551.8134834.013986e-09
0.5048631.8133474.019619e-09
0.5055721.8132114.025261e-09
0.5062811.8130764.030911e-09
0.5069921.8129424.036569e-09
0.5077031.8128084.042234e-09
0.5084161.8126744.047908e-09
0.509131.8125414.053589e-09
0.5098441.8124084.059279e-09
0.510561.8122764.064976e-09
0.5112761.8121444.070682e-09
0.5119941.8120134.076395e-09
0.5127121.8118824.082117e-09
0.5134321.8117514.087846e-09
0.5141531.8116214.093584e-09
0.5148741.8114914.099329e-09
0.5155971.8113624.105083e-09
0.5163211.8112334.110845e-09
0.5170451.8111054.116614e-09
0.5177711.8109774.122392e-09
0.5184981.810854.128178e-09
0.5192251.8107234.133973e-09
0.5199541.8105964.139775e-09
0.5206841.810474.145585e-09
0.5214151.8103444.151404e-09
0.5221471.8102194.157231e-09
0.5228791.8100944.163066e-09
0.5236131.8099694.168909e-09
0.5243481.8098454.174760e-09
0.5250841.8097214.180620e-09
0.5258211.8095984.186487e-09
0.5265591.8094754.192363e-09
0.5272981.8093534.198248e-09
0.5280381.8092314.204140e-09
0.5287791.8091094.210041e-09
0.5295211.8089884.215950e-09
0.5302651.8088674.221867e-09
0.5310091.8087464.227793e-09
0.5317541.8086264.233727e-09
0.5325011.8085064.239669e-09
0.5332481.8083874.245620e-09
0.5339961.8082684.251579e-09
0.5347461.808154.257546e-09
0.5354961.8080324.263522e-09
0.5362481.8079144.269506e-09
0.5370011.8077964.275499e-09
0.5377541.8076794.281500e-09
0.5385091.8075634.287509e-09
0.5392651.8074474.293527e-09
0.5400221.8073314.299553e-09
0.540781.8072154.305588e-09
0.5415391.80714.311631e-09
0.5422991.8069864.317682e-09
0.543061.8068714.323743e-09
0.5438221.8067574.329811e-09
0.5445851.8066444.335888e-09
0.545351.806534.341974e-09
0.5461151.8064174.348068e-09
0.5468821.8063054.354171e-09
0.5476491.8061934.360282e-09
0.5484181.8060814.366402e-09
0.5491871.805974.372531e-09
0.5499581.8058584.378668e-09
0.551.8058524.379000e-09
0.550731.8057484.384812e-09
0.5515031.8056374.390965e-09
0.5522771.8055274.397126e-09
0.5530521.8054184.403297e-09
0.5538291.8053084.409475e-09
0.5546061.8051994.415663e-09
0.5553841.8050914.421859e-09
0.5561641.8049834.428064e-09
0.5569441.8048754.434277e-09
0.5577261.8047674.440499e-09
0.5585091.804664.446730e-09
0.5592931.8045534.452970e-09
0.5600781.8044464.459219e-09
0.5608641.804344.465476e-09
0.5616511.8042344.471742e-09
0.5624391.8041294.478017e-09
0.5632291.8040234.484300e-09
0.5640191.8039184.490593e-09
0.5648111.8038144.496894e-09
0.5656041.803714.503204e-09
0.5663971.8036064.509523e-09
0.5671921.8035024.515851e-09
0.5679881.8033994.522188e-09
0.5687861.8032964.528533e-09
0.5695841.8031934.534888e-09
0.5703831.8030914.541251e-09
0.5711841.8029894.547624e-09
0.5719861.8028874.554005e-09
0.5727881.8027864.560395e-09
0.5735921.8026854.566795e-09
0.5743971.8025844.573203e-09
0.5752041.8024844.579620e-09
0.5760111.8023844.586046e-09
0.5768191.8022844.592481e-09
0.5776291.8021844.598926e-09
0.578441.8020854.605379e-09
0.5792511.8019864.611841e-09
0.5800641.8018884.618313e-09
0.5808791.8017894.624793e-09
0.5816941.8016914.631283e-09
0.582511.8015944.637782e-09
0.5833281.8014964.644290e-09
0.5841471.8013994.650807e-09
0.5849661.8013034.657333e-09
0.5857871.8012064.663868e-09
0.586611.801114.670413e-09
0.5874331.8010144.676966e-09
0.5882571.8009184.683529e-09
0.5890831.8008234.690101e-09
0.589911.8007284.696682e-09
0.5907381.8006334.703273e-09
0.5915671.8005394.709873e-09
0.5923971.8004454.716482e-09
0.5932291.8003514.723100e-09
0.5940611.8002574.729728e-09
0.5948951.8001644.736365e-09
0.595731.8000714.743011e-09
0.5965661.7999784.749666e-09
0.5974031.7998864.756331e-09
0.5982421.7997944.763006e-09
0.5990821.7997024.769689e-09
0.5999221.799614.776382e-09
0.61.7996024.777000e-09
0.6007641.7995194.783086e-09
0.6016081.7994284.789800e-09
0.6024521.7993374.796523e-09
0.6032981.7992464.803255e-09
0.6041441.7991564.809997e-09
0.6049921.7990664.816748e-09
0.6058411.7989764.823509e-09
0.6066921.7988874.830279e-09
0.6075431.7987984.837059e-09
0.6083961.7987094.843848e-09
0.609251.798624.850647e-09
0.6101051.7985324.857455e-09
0.6109611.7984444.864273e-09
0.6118191.7983564.871100e-09
0.6126771.7982684.877937e-09
0.6135371.7981814.884784e-09
0.6143981.7980944.891640e-09
0.6152611.7980074.898506e-09
0.6161241.797924.905381e-09
0.6169891.7978344.912266e-09
0.6178551.7977484.919161e-09
0.6187221.7976624.926066e-09
0.6195911.7975764.932980e-09
0.620461.7974914.939904e-09
0.6213311.7974064.946837e-09
0.6222031.7973214.953781e-09
0.6230761.7972374.960734e-09
0.6239511.7971524.967697e-09
0.6248271.7970684.974669e-09
0.6257041.7969844.981652e-09
0.6265821.7969014.988644e-09
0.6274611.7968174.995646e-09
0.6283421.7967345.002658e-09
0.6292241.7966515.009679e-09
0.6301071.7965695.016711e-09
0.6309911.7964865.023752e-09
0.6318771.7964045.030803e-09
0.6327641.7963225.037865e-09
0.6336521.7962415.044936e-09
0.6345411.7961595.052017e-09
0.6354321.7960785.059108e-09
0.6363241.7959975.066208e-09
0.6372171.7959165.073319e-09
0.6381111.7958365.080440e-09
0.6390071.7957555.087571e-09
0.6399041.7956755.094712e-09
0.6408021.7955965.101863e-09
0.6417011.7955165.109024e-09
0.6426021.7954375.116194e-09
0.6435041.7953575.123375e-09
0.6444071.7952795.130567e-09
0.6453111.79525.137768e-09
0.6462171.7951215.144979e-09
0.6471241.7950435.152200e-09
0.6480321.7949655.159432e-09
0.6489421.7948875.166674e-09
0.6498521.794815.173926e-09
0.651.7947975.175100e-09
0.6507651.7947325.181188e-09
0.6516781.7946555.188460e-09
0.6525931.7945785.195742e-09
0.6535091.7945015.203035e-09
0.6544261.7944255.210338e-09
0.6553441.7943495.217651e-09
0.6562641.7942735.224974e-09
0.6571851.7941975.232308e-09
0.6581081.7941215.239652e-09
0.6590311.7940465.247006e-09
0.6599561.793975.254371e-09
0.6608821.7938955.261746e-09
0.661811.793825.269131e-09
0.6627391.7937465.276527e-09
0.6636691.7936715.283933e-09
0.6646011.7935975.291349e-09
0.6655331.7935235.298776e-09
0.6664671.793455.306213e-09
0.6674031.7933765.313661e-09
0.668341.7933035.321119e-09
0.6692781.7932295.328588e-09
0.6702171.7931565.336067e-09
0.6711581.7930845.343557e-09
0.67211.7930115.351057e-09
0.6730431.7929395.358567e-09
0.6739881.7928665.366089e-09
0.6749331.7927945.373620e-09
0.6758811.7927235.381163e-09
0.6768291.7926515.388716e-09
0.6777791.792585.396279e-09
0.6787311.7925085.403853e-09
0.6796831.7924375.411438e-09
0.6806371.7923675.419033e-09
0.6815921.7922965.426639e-09
0.6825491.7922265.434256e-09
0.6835071.7921555.441884e-09
0.6844661.7920855.449522e-09
0.6854271.7920155.457171e-09
0.6863891.7919465.464830e-09
0.6873521.7918765.472500e-09
0.6883171.7918075.480182e-09
0.6892831.7917385.487873e-09
0.6902511.7916695.495576e-09
0.6912191.79165.503290e-09
0.692191.7915325.511014e-09
0.6931611.7914635.518749e-09
0.6941341.7913955.526495e-09
0.6951081.7913275.534252e-09
0.6960841.7912595.542020e-09
0.6970611.7911915.549798e-09
0.6980391.7911245.557588e-09
0.6990191.7910575.565389e-09
0.71.7909895.573200e-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
—