Optical constants

Refractive index of E-LASF015 (HIKARI)

E-LASF015: 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
1.804
Extinction coefficient k
4.67830e-09
Permittivity ε1
3.2544
Permittivity ε2
1.68793e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
46.576
Chromatic dispersion dn/dλ
-0.0885728 µm⁻¹
Group index ng
1.85604
Group velocity dispersion
161.65 fs²/mm
Dispersion parameter D
-881.889 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-LASF015 (HIKARI): E-LASF015
hikari_e_lasf015 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-LASF015", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_lasf015.range_nm)  # (400, 700) nm
eps = hikari_e_lasf015.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=3.17656194−0.0153426611⁢λ2.0+0.0268472584⁢λ−2.0+0.00064503193⁢λ−4.0−5.1739717×10-6⁢λ−6.0+1.3910812×10-6⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C13.17656194
C2-0.0153426611
C32.0
C40.0268472584
C5-2.0
C60.00064503193
C7-4.0
C8-5.1739717e-06
C9-6.0
C101.3910812e-06
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.804000
Vd
46.575968
glass code
804466
glass status
preferred
density
value: 4590
thermal expansion
value: 7.8e-06, temperature range: 243 343
dPgF
-0.0089

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-LASF015 (HIKARI), E-LASF015: n and k versus wavelength
λ (µm)nk
0.41.83526.430700e-08
0.4005611.8350286.306648e-08
0.4011241.8348576.182421e-08
0.4016871.8346866.058020e-08
0.402251.8345165.933445e-08
0.4028151.8343465.808694e-08
0.403381.8341775.683769e-08
0.4039461.8340095.558668e-08
0.4045131.8338415.433392e-08
0.4050811.8336745.307940e-08
0.405651.8335075.182312e-08
0.4062191.8333415.056507e-08
0.4067891.8331764.930526e-08
0.407361.8330114.804368e-08
0.4079321.8328474.678033e-08
0.4085041.8326834.551521e-08
0.4090781.832524.424831e-08
0.4096521.8323574.297963e-08
0.4102271.8321954.170917e-08
0.4108031.8320344.043693e-08
0.4113791.8318733.916291e-08
0.4119571.8317123.788709e-08
0.4125351.8315523.660949e-08
0.4131141.8313933.533009e-08
0.4136941.8312343.404890e-08
0.4142741.8310763.276590e-08
0.4148561.8309183.148111e-08
0.4154381.8307613.019452e-08
0.4160211.8306052.890611e-08
0.4166051.8304492.761590e-08
0.417191.8302932.632388e-08
0.4177751.8301382.503005e-08
0.4183621.8299832.373440e-08
0.4189491.829832.243693e-08
0.4195371.8296762.113764e-08
0.421.8295562.011400e-08
0.4201261.8295232.000971e-08
0.4207151.8293711.951997e-08
0.4213061.8292191.902955e-08
0.4218971.8290681.853844e-08
0.4224891.8289171.804664e-08
0.4230821.8287661.755415e-08
0.4236761.8286161.706097e-08
0.4242711.8284671.656709e-08
0.4248661.8283181.607252e-08
0.4254621.828171.557726e-08
0.426061.8280221.508131e-08
0.4266581.8278751.458465e-08
0.4272561.8277281.408731e-08
0.4278561.8275821.358926e-08
0.4284571.8274361.309051e-08
0.4290581.827291.259106e-08
0.429661.8271451.209092e-08
0.4302631.8270011.159007e-08
0.4308671.8268571.108852e-08
0.4314721.8267141.058626e-08
0.4320771.8265711.008330e-08
0.4326841.8264289.579630e-09
0.4332911.8262869.075256e-09
0.4338991.8261458.570174e-09
0.4345081.8260048.064383e-09
0.4351181.8258637.557882e-09
0.4357291.8257237.050671e-09
0.436341.8255836.542747e-09
0.4369531.8254446.034111e-09
0.4375661.8253055.524760e-09
0.438181.8251675.014695e-09
0.4387951.8250294.503914e-09
0.4394111.8248923.992416e-09
0.441.8247613.503200e-09
0.4400281.8247553.503420e-09
0.4406451.8246183.508336e-09
0.4412641.8244823.513259e-09
0.4418831.8243473.518189e-09
0.4425031.8242123.523126e-09
0.4431241.8240773.528070e-09
0.4437461.8239433.533020e-09
0.4443691.8238093.537978e-09
0.4449931.8236753.542942e-09
0.4456171.8235423.547914e-09
0.4462431.823413.552892e-09
0.4468691.8232783.557878e-09
0.4474961.8231463.562870e-09
0.4481241.8230153.567870e-09
0.4487531.8228843.572876e-09
0.4493831.8227543.577890e-09
0.4500141.8226243.582910e-09
0.4506451.8224943.587938e-09
0.4512781.8223653.592973e-09
0.4519111.8222373.598014e-09
0.4525461.8221083.603063e-09
0.4531811.8219813.608119e-09
0.4538171.8218533.613182e-09
0.4544541.8217263.618252e-09
0.4550921.82163.623329e-09
0.455731.8214733.628414e-09
0.456371.8213483.633505e-09
0.4570111.8212223.638604e-09
0.4576521.8210973.643709e-09
0.4582941.8209733.648822e-09
0.4589381.8208483.653943e-09
0.4595821.8207253.659070e-09
0.461.8206453.662400e-09
0.4602271.8206013.664204e-09
0.4608731.8204783.669346e-09
0.4615191.8203563.674495e-09
0.4621671.8202343.679651e-09
0.4628161.8201123.684814e-09
0.4634651.819993.689985e-09
0.4641161.8198693.695163e-09
0.4647671.8197493.700348e-09
0.465421.8196283.705541e-09
0.4660731.8195093.710740e-09
0.4667271.8193893.715947e-09
0.4673821.819273.721162e-09
0.4680381.8191513.726383e-09
0.4686951.8190333.731612e-09
0.4693531.8189153.736848e-09
0.4700121.8187973.742092e-09
0.4706711.818683.747343e-09
0.4713321.8185633.752602e-09
0.4719931.8184473.757867e-09
0.4726561.8183313.763140e-09
0.4733191.8182153.768421e-09
0.4739841.81813.773709e-09
0.4746491.8179853.779004e-09
0.4753151.817873.784307e-09
0.4759821.8177563.789617e-09
0.476651.8176423.794935e-09
0.4773191.8175283.800260e-09
0.4779891.8174153.805593e-09
0.478661.8173023.810933e-09
0.4793321.817193.816281e-09
0.481.8170783.821600e-09
0.4800051.8170773.821636e-09
0.4806781.8169663.827002e-09
0.4813531.8168543.832376e-09
0.4820281.8167433.837757e-09
0.4827051.8166323.843145e-09
0.4833821.8165223.848541e-09
0.4840611.8164123.853945e-09
0.484741.8163023.859357e-09
0.4854211.8161933.864776e-09
0.4861021.8160843.870202e-09
0.4867841.8159753.875636e-09
0.4874671.8158673.881078e-09
0.4881521.8157593.886528e-09
0.4888371.8156513.891985e-09
0.4895231.8155443.897450e-09
0.490211.8154373.902922e-09
0.4908981.815333.908402e-09
0.4915871.8152243.913890e-09
0.4922771.8151183.919385e-09
0.4929681.8150123.924889e-09
0.493661.8149073.930400e-09
0.4943531.8148023.935918e-09
0.4950461.8146973.941445e-09
0.4957411.8145923.946979e-09
0.4964371.8144883.952521e-09
0.4971341.8143853.958071e-09
0.4978321.8142813.963628e-09
0.498531.8141783.969193e-09
0.499231.8140753.974766e-09
0.4999311.8139733.980347e-09
0.51.8139633.980900e-09
0.5006321.8138713.985934e-09
0.5013351.8137693.991529e-09
0.5020391.8136673.997131e-09
0.5027431.8135664.002741e-09
0.5034491.8134654.008360e-09
0.5041551.8133654.013986e-09
0.5048631.8132644.019619e-09
0.5055721.8131644.025261e-09
0.5062811.8130654.030911e-09
0.5069921.8129654.036569e-09
0.5077031.8128664.042234e-09
0.5084161.8127674.047908e-09
0.509131.8126694.053589e-09
0.5098441.8125714.059279e-09
0.510561.8124734.064976e-09
0.5112761.8123754.070682e-09
0.5119941.8122784.076395e-09
0.5127121.8121814.082117e-09
0.5134321.8120844.087846e-09
0.5141531.8119884.093584e-09
0.5148741.8118924.099329e-09
0.5155971.8117964.105083e-09
0.5163211.81174.110845e-09
0.5170451.8116054.116614e-09
0.5177711.811514.122392e-09
0.5184981.8114154.128178e-09
0.5192251.8113214.133973e-09
0.5199541.8112274.139775e-09
0.5206841.8111334.145585e-09
0.5214151.8110394.151404e-09
0.5221471.8109464.157231e-09
0.5228791.8108534.163066e-09
0.5236131.810764.168909e-09
0.5243481.8106684.174760e-09
0.5250841.8105764.180620e-09
0.5258211.8104844.186487e-09
0.5265591.8103924.192363e-09
0.5272981.8103014.198248e-09
0.5280381.810214.204140e-09
0.5287791.8101194.210041e-09
0.5295211.8100294.215950e-09
0.5302651.8099384.221867e-09
0.5310091.8098484.227793e-09
0.5317541.8097594.233727e-09
0.5325011.8096694.239669e-09
0.5332481.809584.245620e-09
0.5339961.8094914.251579e-09
0.5347461.8094024.257546e-09
0.5354961.8093144.263522e-09
0.5362481.8092264.269506e-09
0.5370011.8091384.275499e-09
0.5377541.809054.281500e-09
0.5385091.8089634.287509e-09
0.5392651.8088764.293527e-09
0.5400221.8087894.299553e-09
0.540781.8087024.305588e-09
0.5415391.8086164.311631e-09
0.5422991.808534.317682e-09
0.543061.8084444.323743e-09
0.5438221.8083584.329811e-09
0.5445851.8082734.335888e-09
0.545351.8081884.341974e-09
0.5461151.8081034.348068e-09
0.5468821.8080194.354171e-09
0.5476491.8079344.360282e-09
0.5484181.807854.366402e-09
0.5491871.8077664.372531e-09
0.5499581.8076834.378668e-09
0.551.8076784.379000e-09
0.550731.8075994.384812e-09
0.5515031.8075164.390965e-09
0.5522771.8074334.397126e-09
0.5530521.8073514.403297e-09
0.5538291.8072684.409475e-09
0.5546061.8071864.415663e-09
0.5553841.8071044.421859e-09
0.5561641.8070224.428064e-09
0.5569441.8069414.434277e-09
0.5577261.806864.440499e-09
0.5585091.8067794.446730e-09
0.5592931.8066984.452970e-09
0.5600781.8066174.459219e-09
0.5608641.8065374.465476e-09
0.5616511.8064574.471742e-09
0.5624391.8063774.478017e-09
0.5632291.8062984.484300e-09
0.5640191.8062184.490593e-09
0.5648111.8061394.496894e-09
0.5656041.806064.503204e-09
0.5663971.8059814.509523e-09
0.5671921.8059034.515851e-09
0.5679881.8058254.522188e-09
0.5687861.8057474.528533e-09
0.5695841.8056694.534888e-09
0.5703831.8055914.541251e-09
0.5711841.8055144.547624e-09
0.5719861.8054374.554005e-09
0.5727881.805364.560395e-09
0.5735921.8052834.566795e-09
0.5743971.8052074.573203e-09
0.5752041.805134.579620e-09
0.5760111.8050544.586046e-09
0.5768191.8049784.592481e-09
0.5776291.8049034.598926e-09
0.578441.8048274.605379e-09
0.5792511.8047524.611841e-09
0.5800641.8046774.618313e-09
0.5808791.8046024.624793e-09
0.5816941.8045284.631283e-09
0.582511.8044534.637782e-09
0.5833281.8043794.644290e-09
0.5841471.8043054.650807e-09
0.5849661.8042314.657333e-09
0.5857871.8041584.663868e-09
0.586611.8040854.670413e-09
0.5874331.8040114.676966e-09
0.5882571.8039384.683529e-09
0.5890831.8038664.690101e-09
0.589911.8037934.696682e-09
0.5907381.8037214.703273e-09
0.5915671.8036494.709873e-09
0.5923971.8035774.716482e-09
0.5932291.8035054.723100e-09
0.5940611.8034344.729728e-09
0.5948951.8033624.736365e-09
0.595731.8032914.743011e-09
0.5965661.803224.749666e-09
0.5974031.8031494.756331e-09
0.5982421.8030794.763006e-09
0.5990821.8030084.769689e-09
0.5999221.8029384.776382e-09
0.61.8029324.777000e-09
0.6007641.8028684.783086e-09
0.6016081.8027994.789800e-09
0.6024521.8027294.796523e-09
0.6032981.802664.803255e-09
0.6041441.802594.809997e-09
0.6049921.8025214.816748e-09
0.6058411.8024524.823509e-09
0.6066921.8023844.830279e-09
0.6075431.8023154.837059e-09
0.6083961.8022474.843848e-09
0.609251.8021794.850647e-09
0.6101051.8021114.857455e-09
0.6109611.8020434.864273e-09
0.6118191.8019764.871100e-09
0.6126771.8019084.877937e-09
0.6135371.8018414.884784e-09
0.6143981.8017744.891640e-09
0.6152611.8017074.898506e-09
0.6161241.8016414.905381e-09
0.6169891.8015744.912266e-09
0.6178551.8015084.919161e-09
0.6187221.8014424.926066e-09
0.6195911.8013764.932980e-09
0.620461.801314.939904e-09
0.6213311.8012454.946837e-09
0.6222031.8011794.953781e-09
0.6230761.8011144.960734e-09
0.6239511.8010494.967697e-09
0.6248271.8009844.974669e-09
0.6257041.8009194.981652e-09
0.6265821.8008554.988644e-09
0.6274611.8007914.995646e-09
0.6283421.8007265.002658e-09
0.6292241.8006625.009679e-09
0.6301071.8005995.016711e-09
0.6309911.8005355.023752e-09
0.6318771.8004715.030803e-09
0.6327641.8004085.037865e-09
0.6336521.8003455.044936e-09
0.6345411.8002825.052017e-09
0.6354321.8002195.059108e-09
0.6363241.8001565.066208e-09
0.6372171.8000945.073319e-09
0.6381111.8000315.080440e-09
0.6390071.7999695.087571e-09
0.6399041.7999075.094712e-09
0.6408021.7998455.101863e-09
0.6417011.7997835.109024e-09
0.6426021.7997225.116194e-09
0.6435041.7996615.123375e-09
0.6444071.7995995.130567e-09
0.6453111.7995385.137768e-09
0.6462171.7994775.144979e-09
0.6471241.7994175.152200e-09
0.6480321.7993565.159432e-09
0.6489421.7992955.166674e-09
0.6498521.7992355.173926e-09
0.651.7992255.175100e-09
0.6507651.7991755.181188e-09
0.6516781.7991155.188460e-09
0.6525931.7990555.195742e-09
0.6535091.7989955.203035e-09
0.6544261.7989365.210338e-09
0.6553441.7988775.217651e-09
0.6562641.7988175.224974e-09
0.6571851.7987585.232308e-09
0.6581081.7986995.239652e-09
0.6590311.7986415.247006e-09
0.6599561.7985825.254371e-09
0.6608821.7985235.261746e-09
0.661811.7984655.269131e-09
0.6627391.7984075.276527e-09
0.6636691.7983495.283933e-09
0.6646011.7982915.291349e-09
0.6655331.7982335.298776e-09
0.6664671.7981765.306213e-09
0.6674031.7981185.313661e-09
0.668341.7980615.321119e-09
0.6692781.7980045.328588e-09
0.6702171.7979475.336067e-09
0.6711581.797895.343557e-09
0.67211.7978335.351057e-09
0.6730431.7977765.358567e-09
0.6739881.797725.366089e-09
0.6749331.7976645.373620e-09
0.6758811.7976075.381163e-09
0.6768291.7975515.388716e-09
0.6777791.7974955.396279e-09
0.6787311.797445.403853e-09
0.6796831.7973845.411438e-09
0.6806371.7973295.419033e-09
0.6815921.7972735.426639e-09
0.6825491.7972185.434256e-09
0.6835071.7971635.441884e-09
0.6844661.7971085.449522e-09
0.6854271.7970535.457171e-09
0.6863891.7969985.464830e-09
0.6873521.7969445.472500e-09
0.6883171.7968895.480182e-09
0.6892831.7968355.487873e-09
0.6902511.7967815.495576e-09
0.6912191.7967275.503290e-09
0.692191.7966735.511014e-09
0.6931611.7966195.518749e-09
0.6941341.7965665.526495e-09
0.6951081.7965125.534252e-09
0.6960841.7964595.542020e-09
0.6970611.7964055.549798e-09
0.6980391.7963525.557588e-09
0.6990191.7962995.565389e-09
0.71.7962465.573200e-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
—