Optical constants

Refractive index of E-LASF03 (HIKARI)

E-LASF03: 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
1.8061
Extinction coefficient k
7.94272e-09
Permittivity ε1
3.26198
Permittivity ε2
2.86906e-08
Absorption coefficient α
0.00169862 cm⁻¹
Penetration depth δ = λ/(2πk)
1.17742e+10 nm
Abbe number Vd
40.942
Chromatic dispersion dn/dλ
-0.100358 µm⁻¹
Group index ng
1.86507
Group velocity dispersion
189.296 fs²/mm
Dispersion parameter D
-1032.71 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-LASF03 (HIKARI): E-LASF03
hikari_e_lasf03 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-LASF03", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_lasf03.range_nm)  # (400, 700) nm
eps = hikari_e_lasf03.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=3.19737166−0.032023626⁢λ2.0+0.0167812195⁢λ−2.0+0.00429709196⁢λ−4.0−0.000439299261⁢λ−6.0+2.40669567×10-5⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C13.19737166
C2-0.032023626
C32.0
C40.0167812195
C5-2.0
C60.00429709196
C7-4.0
C8-0.000439299261
C9-6.0
C102.40669567e-05
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.806100
Vd
40.942316
glass code
806409
glass status
preferred
density
value: 4310
thermal expansion
value: 6.7e-06, temperature range: 243 343
dPgF
-0.0063

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-LASF03 (HIKARI), E-LASF03: n and k versus wavelength
λ (µm)nk
0.41.8424062.105300e-07
0.4005611.84222.081575e-07
0.4011241.8419952.057816e-07
0.4016871.8417912.034024e-07
0.402251.8415872.010199e-07
0.4028151.8413851.986340e-07
0.403381.8411831.962448e-07
0.4039461.8409821.938522e-07
0.4045131.8407821.914563e-07
0.4050811.8405821.890570e-07
0.405651.8403841.866543e-07
0.4062191.8401861.842483e-07
0.4067891.8399891.818389e-07
0.407361.8397921.794261e-07
0.4079321.8395971.770099e-07
0.4085041.8394021.745903e-07
0.4090781.8392081.721674e-07
0.4096521.8390141.697410e-07
0.4102271.8388221.673112e-07
0.4108031.838631.648780e-07
0.4113791.8384391.624414e-07
0.4119571.8382481.600014e-07
0.4125351.8380581.575580e-07
0.4131141.8378691.551111e-07
0.4136941.8376811.526608e-07
0.4142741.8374931.502070e-07
0.4148561.8373071.477498e-07
0.4154381.837121.452892e-07
0.4160211.8369351.428251e-07
0.4166051.836751.403575e-07
0.417191.8365661.378865e-07
0.4177751.8363831.354120e-07
0.4183621.83621.329341e-07
0.4189491.8360181.304526e-07
0.4195371.8358361.279677e-07
0.421.8356941.260100e-07
0.4201261.8356561.257980e-07
0.4207151.8354761.248024e-07
0.4213061.8352961.238054e-07
0.4218971.8351171.228070e-07
0.4224891.8349391.218071e-07
0.4230821.8347621.208059e-07
0.4236761.8345851.198033e-07
0.4242711.8344091.187993e-07
0.4248661.8342331.177939e-07
0.4254621.8340591.167870e-07
0.426061.8338841.157788e-07
0.4266581.8337111.147691e-07
0.4272561.8335381.137580e-07
0.4278561.8333651.127455e-07
0.4284571.8331941.117316e-07
0.4290581.8330231.107162e-07
0.429661.8328521.096994e-07
0.4302631.8326821.086812e-07
0.4308671.8325131.076616e-07
0.4314721.8323441.066405e-07
0.4320771.8321761.056180e-07
0.4326841.8320091.045941e-07
0.4332911.8318421.035687e-07
0.4338991.8316761.025419e-07
0.4345081.831511.015137e-07
0.4351181.8313451.004840e-07
0.4357291.831189.945285e-08
0.436341.8310169.842026e-08
0.4369531.8308539.738623e-08
0.4375661.830699.635074e-08
0.438181.8305289.531380e-08
0.4387951.8303669.427541e-08
0.4394111.8302059.323555e-08
0.441.8300529.224100e-08
0.4400281.8300459.221051e-08
0.4406451.8298859.153051e-08
0.4412641.8297269.084955e-08
0.4418831.8295679.016764e-08
0.4425031.8294088.948478e-08
0.4431241.8292518.880095e-08
0.4437461.8290948.811617e-08
0.4443691.8289378.743042e-08
0.4449931.8287818.674371e-08
0.4456171.8286258.605604e-08
0.4462431.828478.536740e-08
0.4468691.8283168.467780e-08
0.4474961.8281628.398723e-08
0.4481241.8280098.329569e-08
0.4487531.8278568.260317e-08
0.4493831.8277038.190969e-08
0.4500141.8275528.121523e-08
0.4506451.82748.051980e-08
0.4512781.827257.982339e-08
0.4519111.8270997.912601e-08
0.4525461.826957.842764e-08
0.4531811.82687.772830e-08
0.4538171.8266527.702797e-08
0.4544541.8265047.632666e-08
0.4550921.8263567.562437e-08
0.455731.8262097.492109e-08
0.456371.8260627.421683e-08
0.4570111.8259167.351157e-08
0.4576521.825777.280533e-08
0.4582941.8256257.209809e-08
0.4589381.825487.138986e-08
0.4595821.8253367.068064e-08
0.461.8252437.022000e-08
0.4602271.8251926.999063e-08
0.4608731.8250496.933700e-08
0.4615191.8249066.868246e-08
0.4621671.8247646.802699e-08
0.4628161.8246226.737061e-08
0.4634651.8244816.671330e-08
0.4641161.824346.605507e-08
0.4647671.82426.539592e-08
0.465421.824066.473584e-08
0.4660731.823926.407484e-08
0.4667271.8237816.341291e-08
0.4673821.8236436.275005e-08
0.4680381.8235056.208626e-08
0.4686951.8233676.142153e-08
0.4693531.823236.075588e-08
0.4700121.8230946.008929e-08
0.4706711.8229575.942176e-08
0.4713321.8228225.875330e-08
0.4719931.8226865.808390e-08
0.4726561.8225525.741356e-08
0.4733191.8224175.674228e-08
0.4739841.8222835.607006e-08
0.4746491.822155.539689e-08
0.4753151.8220175.472278e-08
0.4759821.8218845.404772e-08
0.476651.8217525.337172e-08
0.4773191.821625.269476e-08
0.4779891.8214895.201686e-08
0.478661.8213585.133800e-08
0.4793321.8212285.065820e-08
0.481.8210994.998200e-08
0.4800051.8210984.997793e-08
0.4806781.8209684.937083e-08
0.4813531.8208394.876287e-08
0.4820281.820714.815406e-08
0.4827051.8205824.754439e-08
0.4833821.8204544.693387e-08
0.4840611.8203274.632250e-08
0.484741.82024.571026e-08
0.4854211.8200734.509716e-08
0.4861021.8199474.448321e-08
0.4867841.8198214.386839e-08
0.4874671.8196964.325271e-08
0.4881521.8195714.263617e-08
0.4888371.8194464.201876e-08
0.4895231.8193224.140048e-08
0.490211.8191984.078134e-08
0.4908981.8190754.016132e-08
0.4915871.8189523.954044e-08
0.4922771.8188293.891869e-08
0.4929681.8187073.829606e-08
0.493661.8185853.767256e-08
0.4943531.8184643.704818e-08
0.4950461.8183433.642293e-08
0.4957411.8182223.579680e-08
0.4964371.8181023.516979e-08
0.4971341.8179833.454190e-08
0.4978321.8178633.391313e-08
0.498531.8177443.328348e-08
0.499231.8176253.265294e-08
0.4999311.8175073.202152e-08
0.51.8174963.195900e-08
0.5006321.8173893.177669e-08
0.5013351.8172723.157408e-08
0.5020391.8171553.137120e-08
0.5027431.8170383.116802e-08
0.5034491.8169223.096457e-08
0.5041551.8168063.076082e-08
0.5048631.816693.055680e-08
0.5055721.8165753.035248e-08
0.5062811.816463.014788e-08
0.5069921.8163452.994299e-08
0.5077031.8162312.973781e-08
0.5084161.8161182.953235e-08
0.509131.8160042.932660e-08
0.5098441.8158912.912055e-08
0.510561.8157782.891422e-08
0.5112761.8156662.870760e-08
0.5119941.8155542.850069e-08
0.5127121.8154432.829349e-08
0.5134321.8153312.808600e-08
0.5141531.815222.787822e-08
0.5148741.815112.767014e-08
0.5155971.8152.746178e-08
0.5163211.814892.725312e-08
0.5170451.814782.704417e-08
0.5177711.8146712.683492e-08
0.5184981.8145622.662538e-08
0.5192251.8144542.641555e-08
0.5199541.8143462.620542e-08
0.5206841.8142382.599500e-08
0.5214151.8141312.578428e-08
0.5221471.8140232.557327e-08
0.5228791.8139172.536196e-08
0.5236131.813812.515035e-08
0.5243481.8137042.493845e-08
0.5250841.8135982.472625e-08
0.5258211.8134932.451375e-08
0.5265591.8133882.430096e-08
0.5272981.8132832.408786e-08
0.5280381.8131792.387447e-08
0.5287791.8130752.366077e-08
0.5295211.8129712.344678e-08
0.5302651.8128672.323248e-08
0.5310091.8127642.301789e-08
0.5317541.8126622.280299e-08
0.5325011.8125592.258780e-08
0.5332481.8124572.237230e-08
0.5339961.8123552.215649e-08
0.5347461.8122542.194039e-08
0.5354961.8121522.172398e-08
0.5362481.8120512.150727e-08
0.5370011.8119512.129025e-08
0.5377541.8118512.107293e-08
0.5385091.8117512.085531e-08
0.5392651.8116512.063738e-08
0.5400221.8115522.041914e-08
0.540781.8114532.020059e-08
0.5415391.8113541.998174e-08
0.5422991.8112551.976259e-08
0.543061.8111571.954312e-08
0.5438221.811061.932335e-08
0.5445851.8109621.910327e-08
0.545351.8108651.888288e-08
0.5461151.8107681.866218e-08
0.5468821.8106711.844117e-08
0.5476491.8105751.821985e-08
0.5484181.8104791.799822e-08
0.5491871.8103831.777628e-08
0.5499581.8102881.755402e-08
0.551.8102831.754200e-08
0.550731.8101931.735559e-08
0.5515031.8100981.715825e-08
0.5522771.8100031.696063e-08
0.5530521.8099091.676274e-08
0.5538291.8098151.656457e-08
0.5546061.8097211.636612e-08
0.5553841.8096281.616739e-08
0.5561641.8095351.596839e-08
0.5569441.8094421.576910e-08
0.5577261.8093491.556954e-08
0.5585091.8092571.536969e-08
0.5592931.8091651.516957e-08
0.5600781.8090731.496916e-08
0.5608641.8089821.476847e-08
0.5616511.8088911.456750e-08
0.5624391.80881.436625e-08
0.5632291.8087091.416472e-08
0.5640191.8086191.396290e-08
0.5648111.8085291.376080e-08
0.5656041.8084391.355842e-08
0.5663971.8083491.335575e-08
0.5671921.808261.315280e-08
0.5679881.8081711.294956e-08
0.5687861.8080821.274604e-08
0.5695841.8079941.254223e-08
0.5703831.8079061.233814e-08
0.5711841.8078181.213376e-08
0.5719861.807731.192909e-08
0.5727881.8076431.172413e-08
0.5735921.8075561.151889e-08
0.5743971.8074691.131336e-08
0.5752041.8073821.110754e-08
0.5760111.8072961.090143e-08
0.5768191.807211.069504e-08
0.5776291.8071241.048835e-08
0.578441.8070381.028137e-08
0.5792511.8069531.007411e-08
0.5800641.8068689.866550e-09
0.5808791.8067839.658700e-09
0.5816941.8066989.450559e-09
0.582511.8066149.242126e-09
0.5833281.806539.033400e-09
0.5841471.8064468.824381e-09
0.5849661.8063628.615069e-09
0.5857871.8062798.405463e-09
0.586611.8061968.195563e-09
0.5874331.8061137.985369e-09
0.5882571.806037.774879e-09
0.5890831.8059487.564094e-09
0.589911.8058667.353013e-09
0.5907381.8057847.141636e-09
0.5915671.8057026.929962e-09
0.5923971.8056216.717991e-09
0.5932291.805546.505723e-09
0.5940611.8054596.293156e-09
0.5948951.8053786.080291e-09
0.595731.8052975.867128e-09
0.5965661.8052175.653665e-09
0.5974031.8051375.439903e-09
0.5982421.8050575.225841e-09
0.5990821.8049785.011478e-09
0.5999221.8048984.796814e-09
0.61.8048914.777000e-09
0.6007641.8048194.862276e-09
0.6016081.804744.956342e-09
0.6024521.8046625.050541e-09
0.6032981.8045835.144871e-09
0.6041441.8045055.239334e-09
0.6049921.8044275.333930e-09
0.6058411.8043495.428658e-09
0.6066921.8042725.523520e-09
0.6075431.8041945.618514e-09
0.6083961.8041175.713642e-09
0.609251.804045.808903e-09
0.6101051.8039645.904298e-09
0.6109611.8038875.999827e-09
0.6118191.8038116.095490e-09
0.6126771.8037356.191287e-09
0.6135371.8036596.287219e-09
0.6143981.8035836.383285e-09
0.6152611.8035086.479486e-09
0.6161241.8034336.575822e-09
0.6169891.8033586.672294e-09
0.6178551.8032836.768901e-09
0.6187221.8032086.865643e-09
0.6195911.8031346.962521e-09
0.620461.803067.059535e-09
0.6213311.8029867.156686e-09
0.6222031.8029127.253972e-09
0.6230761.8028397.351395e-09
0.6239511.8027657.448955e-09
0.6248271.8026927.546652e-09
0.6257041.8026197.644486e-09
0.6265821.8025477.742457e-09
0.6274611.8024747.840566e-09
0.6283421.8024027.938813e-09
0.6292241.802338.037197e-09
0.6301071.8022588.135719e-09
0.6309911.8021868.234380e-09
0.6318771.8021148.333179e-09
0.6327641.8020438.432117e-09
0.6336521.8019728.531194e-09
0.6345411.8019018.630410e-09
0.6354321.801838.729765e-09
0.6363241.8017598.829259e-09
0.6372171.8016898.928893e-09
0.6381111.8016199.028667e-09
0.6390071.8015499.128581e-09
0.6399041.8014799.228636e-09
0.6408021.8014099.328830e-09
0.6417011.801349.429166e-09
0.6426021.8012719.529642e-09
0.6435041.8012029.630259e-09
0.6444071.8011339.731017e-09
0.6453111.8010649.831917e-09
0.6462171.8009959.932959e-09
0.6471241.8009271.003414e-08
0.6480321.8008591.013547e-08
0.6489421.8007911.023693e-08
0.6498521.8007231.033854e-08
0.651.8007121.035500e-08
0.6507651.8006551.028188e-08
0.6516781.8005881.019453e-08
0.6525931.800521.010705e-08
0.6535091.8004531.001946e-08
0.6544261.8003869.931739e-09
0.6553441.800329.843897e-09
0.6562641.8002539.755931e-09
0.6571851.8001879.667842e-09
0.6581081.800129.579629e-09
0.6590311.8000549.491293e-09
0.6599561.7999889.402833e-09
0.6608821.7999229.314248e-09
0.661811.7998579.225539e-09
0.6627391.7997919.136706e-09
0.6636691.7997269.047748e-09
0.6646011.7996618.958665e-09
0.6655331.7995968.869457e-09
0.6664671.7995318.780123e-09
0.6674031.7994678.690665e-09
0.668341.7994028.601081e-09
0.6692781.7993388.511371e-09
0.6702171.7992748.421535e-09
0.6711581.799218.331573e-09
0.67211.7991468.241485e-09
0.6730431.7990838.151271e-09
0.6739881.7990198.060929e-09
0.6749331.7989567.970461e-09
0.6758811.7988937.879866e-09
0.6768291.7988297.789144e-09
0.6777791.7987677.698295e-09
0.6787311.7987047.607318e-09
0.6796831.7986417.516213e-09
0.6806371.7985797.424981e-09
0.6815921.7985177.333620e-09
0.6825491.7984557.242131e-09
0.6835071.7983937.150514e-09
0.6844661.7983317.058768e-09
0.6854271.7982696.966894e-09
0.6863891.7982086.874890e-09
0.6873521.7981466.782758e-09
0.6883171.7980856.690496e-09
0.6892831.7980246.598104e-09
0.6902511.7979636.505583e-09
0.6912191.7979026.412932e-09
0.692191.7978426.320151e-09
0.6931611.7977816.227240e-09
0.6941341.7977216.134198e-09
0.6951081.797666.041026e-09
0.6960841.79765.947723e-09
0.6970611.797545.854289e-09
0.6980391.7974815.760724e-09
0.6990191.7974215.667028e-09
0.71.7973615.573200e-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
—