Optical constants

Refractive index of E-LASF02 (HIKARI)

E-LASF02: 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
1.79952
Extinction coefficient k
4.67830e-09
Permittivity ε1
3.23826
Permittivity ε2
1.68373e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
42.242
Chromatic dispersion dn/dλ
-0.0967412 µm⁻¹
Group index ng
1.85636
Group velocity dispersion
180.037 fs²/mm
Dispersion parameter D
-982.197 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-LASF02 (HIKARI): E-LASF02
hikari_e_lasf02 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-LASF02", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_lasf02.range_nm)  # (400, 700) nm
eps = hikari_e_lasf02.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=3.15611691−0.0172799726⁢λ2.0+0.0273336859⁢λ−2.0+0.00119991815⁢λ−4.0−6.25674387×10-5⁢λ−6.0+5.65571879×10-6⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C13.15611691
C2-0.0172799726
C32.0
C40.0273336859
C5-2.0
C60.00119991815
C7-4.0
C8-6.25674387e-05
C9-6.0
C105.65571879e-06
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.799520
Vd
42.242361
glass status
preferred
density
value: 4320
thermal expansion
value: 6.8e-06, temperature range: 243 343
dPgF
-0.0075

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-LASF02 (HIKARI), E-LASF02: n and k versus wavelength
λ (µm)nk
0.41.8342349.367500e-08
0.4005611.8340399.161010e-08
0.4011241.8338448.954230e-08
0.4016871.833658.747160e-08
0.402251.8334578.539799e-08
0.4028151.8332648.332147e-08
0.403381.8330728.124204e-08
0.4039461.8328817.915969e-08
0.4045131.8326917.707441e-08
0.4050811.8325027.498621e-08
0.405651.8323137.289508e-08
0.4062191.8321247.080102e-08
0.4067891.8319376.870401e-08
0.407361.831756.660406e-08
0.4079321.8315646.450117e-08
0.4085041.8313796.239532e-08
0.4090781.8311946.028651e-08
0.4096521.831015.817475e-08
0.4102271.8308275.606002e-08
0.4108031.8306445.394233e-08
0.4113791.8304625.182166e-08
0.4119571.8302814.969802e-08
0.4125351.83014.757139e-08
0.4131141.829924.544179e-08
0.4136941.8297414.330919e-08
0.4142741.8295624.117360e-08
0.4148561.8293843.903501e-08
0.4154381.8292073.689342e-08
0.4160211.829033.474882e-08
0.4166051.8288543.260122e-08
0.417191.8286783.045060e-08
0.4177751.8285032.829696e-08
0.4183621.8283292.614030e-08
0.4189491.8281562.398061e-08
0.4195371.8279832.181789e-08
0.421.8278472.011400e-08
0.4201261.8278112.000971e-08
0.4207151.8276391.951997e-08
0.4213061.8274681.902955e-08
0.4218971.8272971.853844e-08
0.4224891.8271281.804664e-08
0.4230821.8269581.755415e-08
0.4236761.826791.706097e-08
0.4242711.8266221.656709e-08
0.4248661.8264541.607252e-08
0.4254621.8262881.557726e-08
0.426061.8261211.508131e-08
0.4266581.8259561.458465e-08
0.4272561.8257911.408731e-08
0.4278561.8256261.358926e-08
0.4284571.8254631.309051e-08
0.4290581.8252991.259106e-08
0.429661.8251371.209092e-08
0.4302631.8249751.159007e-08
0.4308671.8248131.108852e-08
0.4314721.8246521.058626e-08
0.4320771.8244921.008330e-08
0.4326841.8243329.579630e-09
0.4332911.8241739.075256e-09
0.4338991.8240148.570174e-09
0.4345081.8238568.064383e-09
0.4351181.8236987.557882e-09
0.4357291.8235417.050671e-09
0.436341.8233856.542747e-09
0.4369531.8232296.034111e-09
0.4375661.8230735.524760e-09
0.438181.8229195.014695e-09
0.4387951.8227644.503914e-09
0.4394111.822613.992416e-09
0.441.8224643.503200e-09
0.4400281.8224573.503420e-09
0.4406451.8223053.508336e-09
0.4412641.8221523.513259e-09
0.4418831.8220013.518189e-09
0.4425031.821853.523126e-09
0.4431241.8216993.528070e-09
0.4437461.8215493.533020e-09
0.4443691.8213993.537978e-09
0.4449931.821253.542942e-09
0.4456171.8211023.547914e-09
0.4462431.8209543.552892e-09
0.4468691.8208063.557878e-09
0.4474961.8206593.562870e-09
0.4481241.8205133.567870e-09
0.4487531.8203673.572876e-09
0.4493831.8202213.577890e-09
0.4500141.8200763.582910e-09
0.4506451.8199323.587938e-09
0.4512781.8197883.592973e-09
0.4519111.8196443.598014e-09
0.4525461.8195013.603063e-09
0.4531811.8193593.608119e-09
0.4538171.8192173.613182e-09
0.4544541.8190753.618252e-09
0.4550921.8189343.623329e-09
0.455731.8187933.628414e-09
0.456371.8186533.633505e-09
0.4570111.8185143.638604e-09
0.4576521.8183743.643709e-09
0.4582941.8182363.648822e-09
0.4589381.8180973.653943e-09
0.4595821.817963.659070e-09
0.461.817873.662400e-09
0.4602271.8178223.664204e-09
0.4608731.8176853.669346e-09
0.4615191.8175493.674495e-09
0.4621671.8174133.679651e-09
0.4628161.8172783.684814e-09
0.4634651.8171433.689985e-09
0.4641161.8170083.695163e-09
0.4647671.8168743.700348e-09
0.465421.816743.705541e-09
0.4660731.8166073.710740e-09
0.4667271.8164743.715947e-09
0.4673821.8163423.721162e-09
0.4680381.816213.726383e-09
0.4686951.8160783.731612e-09
0.4693531.8159473.736848e-09
0.4700121.8158173.742092e-09
0.4706711.8156863.747343e-09
0.4713321.8155573.752602e-09
0.4719931.8154273.757867e-09
0.4726561.8152993.763140e-09
0.4733191.815173.768421e-09
0.4739841.8150423.773709e-09
0.4746491.8149143.779004e-09
0.4753151.8147873.784307e-09
0.4759821.814663.789617e-09
0.476651.8145343.794935e-09
0.4773191.8144083.800260e-09
0.4779891.8142833.805593e-09
0.478661.8141573.810933e-09
0.4793321.8140333.816281e-09
0.481.8139093.821600e-09
0.4800051.8139083.821636e-09
0.4806781.8137853.827002e-09
0.4813531.8136613.832376e-09
0.4820281.8135383.837757e-09
0.4827051.8134153.843145e-09
0.4833821.8132933.848541e-09
0.4840611.8131713.853945e-09
0.484741.813053.859357e-09
0.4854211.8129283.864776e-09
0.4861021.8128083.870202e-09
0.4867841.8126873.875636e-09
0.4874671.8125673.881078e-09
0.4881521.8124483.886528e-09
0.4888371.8123293.891985e-09
0.4895231.812213.897450e-09
0.490211.8120923.902922e-09
0.4908981.8119743.908402e-09
0.4915871.8118563.913890e-09
0.4922771.8117393.919385e-09
0.4929681.8116223.924889e-09
0.493661.8115053.930400e-09
0.4943531.8113893.935918e-09
0.4950461.8112733.941445e-09
0.4957411.8111583.946979e-09
0.4964371.8110433.952521e-09
0.4971341.8109283.958071e-09
0.4978321.8108143.963628e-09
0.498531.81073.969193e-09
0.499231.8105873.974766e-09
0.4999311.8104743.980347e-09
0.51.8104623.980900e-09
0.5006321.8103613.985934e-09
0.5013351.8102483.991529e-09
0.5020391.8101363.997131e-09
0.5027431.8100244.002741e-09
0.5034491.8099134.008360e-09
0.5041551.8098024.013986e-09
0.5048631.8096914.019619e-09
0.5055721.8095814.025261e-09
0.5062811.8094714.030911e-09
0.5069921.8093614.036569e-09
0.5077031.8092524.042234e-09
0.5084161.8091434.047908e-09
0.509131.8090344.053589e-09
0.5098441.8089264.059279e-09
0.510561.8088184.064976e-09
0.5112761.8087114.070682e-09
0.5119941.8086034.076395e-09
0.5127121.8084964.082117e-09
0.5134321.808394.087846e-09
0.5141531.8082834.093584e-09
0.5148741.8081784.099329e-09
0.5155971.8080724.105083e-09
0.5163211.8079674.110845e-09
0.5170451.8078624.116614e-09
0.5177711.8077574.122392e-09
0.5184981.8076534.128178e-09
0.5192251.8075494.133973e-09
0.5199541.8074454.139775e-09
0.5206841.8073424.145585e-09
0.5214151.8072394.151404e-09
0.5221471.8071364.157231e-09
0.5228791.8070344.163066e-09
0.5236131.8069324.168909e-09
0.5243481.806834.174760e-09
0.5250841.8067294.180620e-09
0.5258211.8066284.186487e-09
0.5265591.8065274.192363e-09
0.5272981.8064264.198248e-09
0.5280381.8063264.204140e-09
0.5287791.8062264.210041e-09
0.5295211.8061274.215950e-09
0.5302651.8060284.221867e-09
0.5310091.8059294.227793e-09
0.5317541.805834.233727e-09
0.5325011.8057324.239669e-09
0.5332481.8056344.245620e-09
0.5339961.8055364.251579e-09
0.5347461.8054384.257546e-09
0.5354961.8053414.263522e-09
0.5362481.8052454.269506e-09
0.5370011.8051484.275499e-09
0.5377541.8050524.281500e-09
0.5385091.8049564.287509e-09
0.5392651.804864.293527e-09
0.5400221.8047654.299553e-09
0.540781.804674.305588e-09
0.5415391.8045754.311631e-09
0.5422991.804484.317682e-09
0.543061.8043864.323743e-09
0.5438221.8042924.329811e-09
0.5445851.8041984.335888e-09
0.545351.8041054.341974e-09
0.5461151.8040124.348068e-09
0.5468821.8039194.354171e-09
0.5476491.8038274.360282e-09
0.5484181.8037344.366402e-09
0.5491871.8036424.372531e-09
0.5499581.8035514.378668e-09
0.551.8035464.379000e-09
0.550731.8034594.384812e-09
0.5515031.8033684.390965e-09
0.5522771.8032774.397126e-09
0.5530521.8031874.403297e-09
0.5538291.8030964.409475e-09
0.5546061.8030064.415663e-09
0.5553841.8029164.421859e-09
0.5561641.8028274.428064e-09
0.5569441.8027384.434277e-09
0.5577261.8026484.440499e-09
0.5585091.802564.446730e-09
0.5592931.8024714.452970e-09
0.5600781.8023834.459219e-09
0.5608641.8022954.465476e-09
0.5616511.8022074.471742e-09
0.5624391.802124.478017e-09
0.5632291.8020334.484300e-09
0.5640191.8019464.490593e-09
0.5648111.8018594.496894e-09
0.5656041.8017734.503204e-09
0.5663971.8016874.509523e-09
0.5671921.8016014.515851e-09
0.5679881.8015154.522188e-09
0.5687861.801434.528533e-09
0.5695841.8013444.534888e-09
0.5703831.801264.541251e-09
0.5711841.8011754.547624e-09
0.5719861.8010914.554005e-09
0.5727881.8010064.560395e-09
0.5735921.8009224.566795e-09
0.5743971.8008394.573203e-09
0.5752041.8007554.579620e-09
0.5760111.8006724.586046e-09
0.5768191.8005894.592481e-09
0.5776291.8005074.598926e-09
0.578441.8004244.605379e-09
0.5792511.8003424.611841e-09
0.5800641.800264.618313e-09
0.5808791.8001784.624793e-09
0.5816941.8000974.631283e-09
0.582511.8000154.637782e-09
0.5833281.7999344.644290e-09
0.5841471.7998534.650807e-09
0.5849661.7997734.657333e-09
0.5857871.7996924.663868e-09
0.586611.7996124.670413e-09
0.5874331.7995324.676966e-09
0.5882571.7994534.683529e-09
0.5890831.7993734.690101e-09
0.589911.7992944.696682e-09
0.5907381.7992154.703273e-09
0.5915671.7991364.709873e-09
0.5923971.7990584.716482e-09
0.5932291.798984.723100e-09
0.5940611.7989024.729728e-09
0.5948951.7988244.736365e-09
0.595731.7987464.743011e-09
0.5965661.7986694.749666e-09
0.5974031.7985914.756331e-09
0.5982421.7985144.763006e-09
0.5990821.7984384.769689e-09
0.5999221.7983614.776382e-09
0.61.7983544.777000e-09
0.6007641.7982854.783086e-09
0.6016081.7982094.789800e-09
0.6024521.7981334.796523e-09
0.6032981.7980574.803255e-09
0.6041441.7979824.809997e-09
0.6049921.7979064.816748e-09
0.6058411.7978314.823509e-09
0.6066921.7977564.830279e-09
0.6075431.7976824.837059e-09
0.6083961.7976074.843848e-09
0.609251.7975334.850647e-09
0.6101051.7974594.857455e-09
0.6109611.7973854.864273e-09
0.6118191.7973124.871100e-09
0.6126771.7972384.877937e-09
0.6135371.7971654.884784e-09
0.6143981.7970924.891640e-09
0.6152611.7970194.898506e-09
0.6161241.7969474.905381e-09
0.6169891.7968744.912266e-09
0.6178551.7968024.919161e-09
0.6187221.796734.926066e-09
0.6195911.7966584.932980e-09
0.620461.7965874.939904e-09
0.6213311.7965154.946837e-09
0.6222031.7964444.953781e-09
0.6230761.7963734.960734e-09
0.6239511.7963024.967697e-09
0.6248271.7962324.974669e-09
0.6257041.7961614.981652e-09
0.6265821.7960914.988644e-09
0.6274611.7960214.995646e-09
0.6283421.7959515.002658e-09
0.6292241.7958815.009679e-09
0.6301071.7958125.016711e-09
0.6309911.7957435.023752e-09
0.6318771.7956745.030803e-09
0.6327641.7956055.037865e-09
0.6336521.7955365.044936e-09
0.6345411.7954675.052017e-09
0.6354321.7953995.059108e-09
0.6363241.7953315.066208e-09
0.6372171.7952635.073319e-09
0.6381111.7951955.080440e-09
0.6390071.7951275.087571e-09
0.6399041.795065.094712e-09
0.6408021.7949935.101863e-09
0.6417011.7949265.109024e-09
0.6426021.7948595.116194e-09
0.6435041.7947925.123375e-09
0.6444071.7947255.130567e-09
0.6453111.7946595.137768e-09
0.6462171.7945935.144979e-09
0.6471241.7945275.152200e-09
0.6480321.7944615.159432e-09
0.6489421.7943955.166674e-09
0.6498521.794335.173926e-09
0.651.7943195.175100e-09
0.6507651.7942645.181188e-09
0.6516781.7941995.188460e-09
0.6525931.7941345.195742e-09
0.6535091.7940695.203035e-09
0.6544261.7940055.210338e-09
0.6553441.793945.217651e-09
0.6562641.7938765.224974e-09
0.6571851.7938125.232308e-09
0.6581081.7937485.239652e-09
0.6590311.7936845.247006e-09
0.6599561.793625.254371e-09
0.6608821.7935575.261746e-09
0.661811.7934945.269131e-09
0.6627391.793435.276527e-09
0.6636691.7933675.283933e-09
0.6646011.7933055.291349e-09
0.6655331.7932425.298776e-09
0.6664671.7931795.306213e-09
0.6674031.7931175.313661e-09
0.668341.7930555.321119e-09
0.6692781.7929935.328588e-09
0.6702171.7929315.336067e-09
0.6711581.7928695.343557e-09
0.67211.7928085.351057e-09
0.6730431.7927465.358567e-09
0.6739881.7926855.366089e-09
0.6749331.7926245.373620e-09
0.6758811.7925635.381163e-09
0.6768291.7925025.388716e-09
0.6777791.7924425.396279e-09
0.6787311.7923815.403853e-09
0.6796831.7923215.411438e-09
0.6806371.7922615.419033e-09
0.6815921.7922015.426639e-09
0.6825491.7921415.434256e-09
0.6835071.7920815.441884e-09
0.6844661.7920215.449522e-09
0.6854271.7919625.457171e-09
0.6863891.7919035.464830e-09
0.6873521.7918445.472500e-09
0.6883171.7917855.480182e-09
0.6892831.7917265.487873e-09
0.6902511.7916675.495576e-09
0.6912191.7916095.503290e-09
0.692191.791555.511014e-09
0.6931611.7914925.518749e-09
0.6941341.7914345.526495e-09
0.6951081.7913765.534252e-09
0.6960841.7913185.542020e-09
0.6970611.791265.549798e-09
0.6980391.7912035.557588e-09
0.6990191.7911455.565389e-09
0.71.7910885.573200e-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
—