Optical constants

Refractive index of E-F5 (HIKARI)

E-F5: 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
1.60342
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.57095
Permittivity ε2
1.50025e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
38.013
Chromatic dispersion dn/dλ
-0.0805576 µm⁻¹
Group index ng
1.65075
Group velocity dispersion
155.188 fs²/mm
Dispersion parameter D
-846.632 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-F5 (HIKARI): E-F5
hikari_e_f5 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-F5", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_f5.range_nm)  # (400, 700) nm
eps = hikari_e_f5.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=2.50863619−0.0101869365⁢λ2.0+0.0204516474⁢λ−2.0+0.000841069518⁢λ−4.0−3.63565381×10-5⁢λ−6.0+5.99712664×10-6⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.50863619
C2-0.0101869365
C32.0
C40.0204516474
C5-2.0
C60.000841069518
C7-4.0
C8-3.63565381e-05
C9-6.0
C105.99712664e-06
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.603420
Vd
38.012852
glass code
603380
glass status
preferred
density
value: 2650
thermal expansion
value: 9e-06, temperature range: 243 343
dPgF
0.0026

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-F5 (HIKARI), E-F5: n and k versus wavelength
λ (µm)nk
0.41.6333891.134000e-07
0.4005611.6332131.107814e-07
0.4011241.6330381.081591e-07
0.4016871.6328641.055332e-07
0.402251.632691.029036e-07
0.4028151.6325171.002702e-07
0.403381.6323459.763321e-08
0.4039461.6321749.499248e-08
0.4045131.6320039.234805e-08
0.4050811.6318348.969991e-08
0.405651.6316648.704805e-08
0.4062191.6314968.439248e-08
0.4067891.6313288.173317e-08
0.407361.6311617.907013e-08
0.4079321.6309957.640335e-08
0.4085041.6308297.373283e-08
0.4090781.6306657.105857e-08
0.4096521.63056.838054e-08
0.4102271.6303376.569876e-08
0.4108031.6301746.301322e-08
0.4113791.6300126.032391e-08
0.4119571.629855.763082e-08
0.4125351.629695.493395e-08
0.4131141.629535.223330e-08
0.4136941.629374.952886e-08
0.4142741.6292114.682062e-08
0.4148561.6290534.410858e-08
0.4154381.6288964.139273e-08
0.4160211.6287393.867307e-08
0.4166051.6285823.594960e-08
0.417191.6284273.322230e-08
0.4177751.6282723.049118e-08
0.4183621.6281182.775622e-08
0.4189491.6279642.501742e-08
0.4195371.6278112.227478e-08
0.421.6276912.011400e-08
0.4201261.6276582.000971e-08
0.4207151.6275071.951997e-08
0.4213061.6273551.902955e-08
0.4218971.6272051.853844e-08
0.4224891.6270551.804664e-08
0.4230821.6269061.755415e-08
0.4236761.6267571.706097e-08
0.4242711.6266091.656709e-08
0.4248661.6264611.607252e-08
0.4254621.6263141.557726e-08
0.426061.6261681.508131e-08
0.4266581.6260221.458465e-08
0.4272561.6258761.408731e-08
0.4278561.6257321.358926e-08
0.4284571.6255881.309051e-08
0.4290581.6254441.259106e-08
0.429661.6253011.209092e-08
0.4302631.6251591.159007e-08
0.4308671.6250171.108852e-08
0.4314721.6248761.058626e-08
0.4320771.6247351.008330e-08
0.4326841.6245959.579630e-09
0.4332911.6244559.075256e-09
0.4338991.6243168.570174e-09
0.4345081.6241788.064383e-09
0.4351181.624047.557882e-09
0.4357291.6239027.050671e-09
0.436341.6237656.542747e-09
0.4369531.6236296.034111e-09
0.4375661.6234935.524760e-09
0.438181.6233585.014695e-09
0.4387951.6232234.503914e-09
0.4394111.6230883.992416e-09
0.441.6229613.503200e-09
0.4400281.6229553.503420e-09
0.4406451.6228213.508336e-09
0.4412641.6226893.513259e-09
0.4418831.6225563.518189e-09
0.4425031.6224253.523126e-09
0.4431241.6222933.528070e-09
0.4437461.6221633.533020e-09
0.4443691.6220323.537978e-09
0.4449931.6219033.542942e-09
0.4456171.6217733.547914e-09
0.4462431.6216453.552892e-09
0.4468691.6215163.557878e-09
0.4474961.6213893.562870e-09
0.4481241.6212613.567870e-09
0.4487531.6211343.572876e-09
0.4493831.6210083.577890e-09
0.4500141.6208823.582910e-09
0.4506451.6207573.587938e-09
0.4512781.6206323.592973e-09
0.4519111.6205073.598014e-09
0.4525461.6203833.603063e-09
0.4531811.620263.608119e-09
0.4538171.6201373.613182e-09
0.4544541.6200143.618252e-09
0.4550921.6198923.623329e-09
0.455731.619773.628414e-09
0.456371.6196493.633505e-09
0.4570111.6195283.638604e-09
0.4576521.6194083.643709e-09
0.4582941.6192883.648822e-09
0.4589381.6191683.653943e-09
0.4595821.6190493.659070e-09
0.461.6189723.662400e-09
0.4602271.6189313.664204e-09
0.4608731.6188133.669346e-09
0.4615191.6186953.674495e-09
0.4621671.6185783.679651e-09
0.4628161.6184613.684814e-09
0.4634651.6183443.689985e-09
0.4641161.6182283.695163e-09
0.4647671.6181133.700348e-09
0.465421.6179973.705541e-09
0.4660731.6178833.710740e-09
0.4667271.6177683.715947e-09
0.4673821.6176543.721162e-09
0.4680381.6175413.726383e-09
0.4686951.6174283.731612e-09
0.4693531.6173153.736848e-09
0.4700121.6172033.742092e-09
0.4706711.6170913.747343e-09
0.4713321.6169793.752602e-09
0.4719931.6168683.757867e-09
0.4726561.6167583.763140e-09
0.4733191.6166473.768421e-09
0.4739841.6165373.773709e-09
0.4746491.6164283.779004e-09
0.4753151.6163193.784307e-09
0.4759821.616213.789617e-09
0.476651.6161023.794935e-09
0.4773191.6159943.800260e-09
0.4779891.6158863.805593e-09
0.478661.6157793.810933e-09
0.4793321.6156723.816281e-09
0.481.6155663.821600e-09
0.4800051.6155663.821636e-09
0.4806781.615463.827002e-09
0.4813531.6153543.832376e-09
0.4820281.6152493.837757e-09
0.4827051.6151443.843145e-09
0.4833821.6150393.848541e-09
0.4840611.6149353.853945e-09
0.484741.6148313.859357e-09
0.4854211.6147273.864776e-09
0.4861021.6146243.870202e-09
0.4867841.6145223.875636e-09
0.4874671.6144193.881078e-09
0.4881521.6143173.886528e-09
0.4888371.6142153.891985e-09
0.4895231.6141143.897450e-09
0.490211.6140133.902922e-09
0.4908981.6139123.908402e-09
0.4915871.6138123.913890e-09
0.4922771.6137123.919385e-09
0.4929681.6136133.924889e-09
0.493661.6135133.930400e-09
0.4943531.6134143.935918e-09
0.4950461.6133163.941445e-09
0.4957411.6132183.946979e-09
0.4964371.613123.952521e-09
0.4971341.6130223.958071e-09
0.4978321.6129253.963628e-09
0.498531.6128283.969193e-09
0.499231.6127313.974766e-09
0.4999311.6126353.980347e-09
0.51.6126263.980900e-09
0.5006321.6125393.985934e-09
0.5013351.6124443.991529e-09
0.5020391.6123483.997131e-09
0.5027431.6122534.002741e-09
0.5034491.6121594.008360e-09
0.5041551.6120654.013986e-09
0.5048631.6119714.019619e-09
0.5055721.6118774.025261e-09
0.5062811.6117844.030911e-09
0.5069921.6116914.036569e-09
0.5077031.6115984.042234e-09
0.5084161.6115054.047908e-09
0.509131.6114134.053589e-09
0.5098441.6113224.059279e-09
0.510561.611234.064976e-09
0.5112761.6111394.070682e-09
0.5119941.6110484.076395e-09
0.5127121.6109584.082117e-09
0.5134321.6108674.087846e-09
0.5141531.6107774.093584e-09
0.5148741.6106884.099329e-09
0.5155971.6105984.105083e-09
0.5163211.6105094.110845e-09
0.5170451.6104214.116614e-09
0.5177711.6103324.122392e-09
0.5184981.6102444.128178e-09
0.5192251.6101564.133973e-09
0.5199541.6100684.139775e-09
0.5206841.6099814.145585e-09
0.5214151.6098944.151404e-09
0.5221471.6098074.157231e-09
0.5228791.6097214.163066e-09
0.5236131.6096354.168909e-09
0.5243481.6095494.174760e-09
0.5250841.6094634.180620e-09
0.5258211.6093784.186487e-09
0.5265591.6092934.192363e-09
0.5272981.6092084.198248e-09
0.5280381.6091244.204140e-09
0.5287791.6090394.210041e-09
0.5295211.6089564.215950e-09
0.5302651.6088724.221867e-09
0.5310091.6087894.227793e-09
0.5317541.6087054.233727e-09
0.5325011.6086234.239669e-09
0.5332481.608544.245620e-09
0.5339961.6084584.251579e-09
0.5347461.6083764.257546e-09
0.5354961.6082944.263522e-09
0.5362481.6082124.269506e-09
0.5370011.6081314.275499e-09
0.5377541.608054.281500e-09
0.5385091.6079694.287509e-09
0.5392651.6078894.293527e-09
0.5400221.6078094.299553e-09
0.540781.6077294.305588e-09
0.5415391.6076494.311631e-09
0.5422991.607574.317682e-09
0.543061.607494.323743e-09
0.5438221.6074114.329811e-09
0.5445851.6073334.335888e-09
0.545351.6072544.341974e-09
0.5461151.6071764.348068e-09
0.5468821.6070984.354171e-09
0.5476491.6070214.360282e-09
0.5484181.6069434.366402e-09
0.5491871.6068664.372531e-09
0.5499581.6067894.378668e-09
0.551.6067854.379000e-09
0.550731.6067124.384812e-09
0.5515031.6066364.390965e-09
0.5522771.606564.397126e-09
0.5530521.6064844.403297e-09
0.5538291.6064084.409475e-09
0.5546061.6063324.415663e-09
0.5553841.6062574.421859e-09
0.5561641.6061824.428064e-09
0.5569441.6061074.434277e-09
0.5577261.6060334.440499e-09
0.5585091.6059584.446730e-09
0.5592931.6058844.452970e-09
0.5600781.605814.459219e-09
0.5608641.6057374.465476e-09
0.5616511.6056634.471742e-09
0.5624391.605594.478017e-09
0.5632291.6055174.484300e-09
0.5640191.6054454.490593e-09
0.5648111.6053724.496894e-09
0.5656041.60534.503204e-09
0.5663971.6052284.509523e-09
0.5671921.6051564.515851e-09
0.5679881.6050844.522188e-09
0.5687861.6050134.528533e-09
0.5695841.6049424.534888e-09
0.5703831.6048714.541251e-09
0.5711841.60484.547624e-09
0.5719861.604734.554005e-09
0.5727881.6046594.560395e-09
0.5735921.6045894.566795e-09
0.5743971.604524.573203e-09
0.5752041.604454.579620e-09
0.5760111.604384.586046e-09
0.5768191.6043114.592481e-09
0.5776291.6042424.598926e-09
0.578441.6041734.605379e-09
0.5792511.6041054.611841e-09
0.5800641.6040364.618313e-09
0.5808791.6039684.624793e-09
0.5816941.60394.631283e-09
0.582511.6038334.637782e-09
0.5833281.6037654.644290e-09
0.5841471.6036984.650807e-09
0.5849661.6036314.657333e-09
0.5857871.6035644.663868e-09
0.586611.6034974.670413e-09
0.5874331.603434.676966e-09
0.5882571.6033644.683529e-09
0.5890831.6032984.690101e-09
0.589911.6032324.696682e-09
0.5907381.6031664.703273e-09
0.5915671.6031014.709873e-09
0.5923971.6030354.716482e-09
0.5932291.602974.723100e-09
0.5940611.6029054.729728e-09
0.5948951.6028414.736365e-09
0.595731.6027764.743011e-09
0.5965661.6027124.749666e-09
0.5974031.6026474.756331e-09
0.5982421.6025834.763006e-09
0.5990821.602524.769689e-09
0.5999221.6024564.776382e-09
0.61.602454.777000e-09
0.6007641.6023934.862276e-09
0.6016081.6023294.956342e-09
0.6024521.6022665.050541e-09
0.6032981.6022035.144871e-09
0.6041441.6021415.239334e-09
0.6049921.6020785.333930e-09
0.6058411.6020165.428658e-09
0.6066921.6019545.523520e-09
0.6075431.6018925.618514e-09
0.6083961.601835.713642e-09
0.609251.6017695.808903e-09
0.6101051.6017075.904298e-09
0.6109611.6016465.999827e-09
0.6118191.6015856.095490e-09
0.6126771.6015246.191287e-09
0.6135371.6014636.287219e-09
0.6143981.6014036.383285e-09
0.6152611.6013436.479486e-09
0.6161241.6012826.575822e-09
0.6169891.6012226.672294e-09
0.6178551.6011636.768901e-09
0.6187221.6011036.865643e-09
0.6195911.6010446.962521e-09
0.620461.6009847.059535e-09
0.6213311.6009257.156686e-09
0.6222031.6008667.253972e-09
0.6230761.6008077.351395e-09
0.6239511.6007497.448955e-09
0.6248271.600697.546652e-09
0.6257041.6006327.644486e-09
0.6265821.6005747.742457e-09
0.6274611.6005167.840566e-09
0.6283421.6004587.938813e-09
0.6292241.6004018.037197e-09
0.6301071.6003438.135719e-09
0.6309911.6002868.234380e-09
0.6318771.6002298.333179e-09
0.6327641.6001728.432117e-09
0.6336521.6001158.531194e-09
0.6345411.6000588.630410e-09
0.6354321.6000028.729765e-09
0.6363241.5999468.829259e-09
0.6372171.599898.928893e-09
0.6381111.5998349.028667e-09
0.6390071.5997789.128581e-09
0.6399041.5997229.228636e-09
0.6408021.5996679.328830e-09
0.6417011.5996119.429166e-09
0.6426021.5995569.529642e-09
0.6435041.5995019.630259e-09
0.6444071.5994469.731017e-09
0.6453111.5993919.831917e-09
0.6462171.5993379.932959e-09
0.6471241.5992821.003414e-08
0.6480321.5992281.013547e-08
0.6489421.5991741.023693e-08
0.6498521.599121.033854e-08
0.651.5991111.035500e-08
0.6507651.5990661.028188e-08
0.6516781.5990121.019453e-08
0.6525931.5989591.010705e-08
0.6535091.5989051.001946e-08
0.6544261.5988529.931739e-09
0.6553441.5987999.843897e-09
0.6562641.5987469.755931e-09
0.6571851.5986939.667842e-09
0.6581081.5986419.579629e-09
0.6590311.5985889.491293e-09
0.6599561.5985369.402833e-09
0.6608821.5984849.314248e-09
0.661811.5984319.225539e-09
0.6627391.5983799.136706e-09
0.6636691.5983289.047748e-09
0.6646011.5982768.958665e-09
0.6655331.5982248.869457e-09
0.6664671.5981738.780123e-09
0.6674031.5981228.690665e-09
0.668341.5980718.601081e-09
0.6692781.598028.511371e-09
0.6702171.5979698.421535e-09
0.6711581.5979188.331573e-09
0.67211.5978688.241485e-09
0.6730431.5978178.151271e-09
0.6739881.5977678.060929e-09
0.6749331.5977177.970461e-09
0.6758811.5976677.879866e-09
0.6768291.5976177.789144e-09
0.6777791.5975677.698295e-09
0.6787311.5975187.607318e-09
0.6796831.5974687.516213e-09
0.6806371.5974197.424981e-09
0.6815921.597377.333620e-09
0.6825491.5973217.242131e-09
0.6835071.5972727.150514e-09
0.6844661.5972237.058768e-09
0.6854271.5971746.966894e-09
0.6863891.5971266.874890e-09
0.6873521.5970776.782758e-09
0.6883171.5970296.690496e-09
0.6892831.5969816.598104e-09
0.6902511.5969336.505583e-09
0.6912191.5968856.412932e-09
0.692191.5968376.320151e-09
0.6931611.5967896.227240e-09
0.6941341.5967426.134198e-09
0.6951081.5966946.041026e-09
0.6960841.5966475.947723e-09
0.6970611.59665.854289e-09
0.6980391.5965535.760724e-09
0.6990191.5965065.667028e-09
0.71.5964595.573200e-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
—