Optical constants

Refractive index of SF15 (HIKARI)

SF15: n,k 0.4–0.7 µm

Data
formula 3 + tabulated k
Range
0.4–0.7 µm
Temperature
293 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
1.69895
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.88642
Permittivity ε2
1.58963e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
30.09
Chromatic dispersion dn/dλ
-0.117015 µm⁻¹
Group index ng
1.7677
Group velocity dispersion
236.562 fs²/mm
Dispersion parameter D
-1290.57 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

# SF15 (HIKARI): SF15
hikari_sf15 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "SF15", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_sf15.range_nm)  # (400, 700) nm
eps = hikari_sf15.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=2.787118−0.006950628⁢λ2.0+0.03016016⁢λ−2.0+0.00207609⁢λ−4.0−0.0001855962⁢λ−6.0+2.047325×10-5⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.787118
C2-0.006950628
C32.0
C40.03016016
C5-2.0
C60.00207609
C7-4.0
C8-0.0001855962
C9-6.0
C102.047325e-05
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

nd
1.698950
Vd
30.089686
glass code
699301
glass status
preferred
density
value: 4120
thermal expansion
value: 1e-05, temperature range: 243 343
dPgF
0.0058

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
SF15 (HIKARI), SF15: n and k versus wavelength
λ (µm)nk
0.41.7439994.800800e-07
0.4005611.7437254.716139e-07
0.4011241.7434534.631359e-07
0.4016871.7431834.546461e-07
0.402251.7429134.461443e-07
0.4028151.7426454.376305e-07
0.403381.7423784.291049e-07
0.4039461.7421124.205672e-07
0.4045131.7418484.120176e-07
0.4050811.7415844.034560e-07
0.405651.7413223.948824e-07
0.4062191.7410623.862967e-07
0.4067891.7408023.776990e-07
0.407361.7405443.690892e-07
0.4079321.7402873.604673e-07
0.4085041.7400313.518333e-07
0.4090781.7397763.431873e-07
0.4096521.7395223.345290e-07
0.4102271.739273.258587e-07
0.4108031.7390193.171761e-07
0.4113791.7387693.084814e-07
0.4119571.738522.997744e-07
0.4125351.7382722.910553e-07
0.4131141.7380252.823239e-07
0.4136941.737782.735802e-07
0.4142741.7375352.648243e-07
0.4148561.7372922.560561e-07
0.4154381.7370492.472756e-07
0.4160211.7368082.384828e-07
0.4166051.7365682.296776e-07
0.417191.7363292.208600e-07
0.4177751.7360912.120301e-07
0.4183621.7358542.031878e-07
0.4189491.7356191.943331e-07
0.4195371.7353841.854659e-07
0.421.73521.784800e-07
0.4201261.735151.779160e-07
0.4207151.7349181.752675e-07
0.4213061.7346861.726152e-07
0.4218971.7344551.699593e-07
0.4224891.7342261.672996e-07
0.4230821.7339971.646362e-07
0.4236761.7337691.619690e-07
0.4242711.7335431.592981e-07
0.4248661.7333171.566235e-07
0.4254621.7330931.539451e-07
0.426061.7328691.512630e-07
0.4266581.7326461.485770e-07
0.4272561.7324241.458873e-07
0.4278561.7322041.431939e-07
0.4284571.7319841.404966e-07
0.4290581.7317651.377956e-07
0.429661.7315471.350908e-07
0.4302631.731331.323822e-07
0.4308671.7311141.296697e-07
0.4314721.7308991.269535e-07
0.4320771.7306841.242335e-07
0.4326841.7304711.215096e-07
0.4332911.7302591.187819e-07
0.4338991.7300471.160504e-07
0.4345081.7298361.133151e-07
0.4351181.7296271.105759e-07
0.4357291.7294181.078329e-07
0.436341.729211.050860e-07
0.4369531.7290031.023353e-07
0.4375661.7287969.958069e-08
0.438181.7285919.682224e-08
0.4387951.7283869.405991e-08
0.4394111.7281839.129370e-08
0.441.7279898.864800e-08
0.4400281.727988.860701e-08
0.4406451.7277788.769282e-08
0.4412641.7275768.677734e-08
0.4418831.7273768.586058e-08
0.4425031.7271778.494254e-08
0.4431241.7269788.402321e-08
0.4437461.726788.310258e-08
0.4443691.7265838.218067e-08
0.4449931.7263868.125746e-08
0.4456171.7261918.033295e-08
0.4462431.7259967.940715e-08
0.4468691.7258027.848004e-08
0.4474961.7256097.755164e-08
0.4481241.7254177.662193e-08
0.4487531.7252257.569092e-08
0.4493831.7250357.475860e-08
0.4500141.7248447.382497e-08
0.4506451.7246557.289004e-08
0.4512781.7244677.195379e-08
0.4519111.7242797.101622e-08
0.4525461.7240927.007734e-08
0.4531811.7239066.913715e-08
0.4538171.723726.819563e-08
0.4544541.7235356.725279e-08
0.4550921.7233516.630863e-08
0.455731.7231686.536314e-08
0.456371.7229856.441633e-08
0.4570111.7228046.346818e-08
0.4576521.7226226.251871e-08
0.4582941.7224426.156790e-08
0.4589381.7222626.061576e-08
0.4595821.7220835.966229e-08
0.461.7219675.904300e-08
0.4602271.7219055.876522e-08
0.4608731.7217275.797361e-08
0.4615191.721555.718090e-08
0.4621671.7213745.638708e-08
0.4628161.7211985.559214e-08
0.4634651.7210245.479608e-08
0.4641161.7208495.399891e-08
0.4647671.7206765.320062e-08
0.465421.7205035.240120e-08
0.4660731.7203315.160067e-08
0.4667271.7201595.079901e-08
0.4673821.7199884.999623e-08
0.4680381.7198184.919232e-08
0.4686951.7196484.838728e-08
0.4693531.719484.758112e-08
0.4700121.7193114.677382e-08
0.4706711.7191444.596539e-08
0.4713321.7189774.515582e-08
0.4719931.718814.434512e-08
0.4726561.7186454.353327e-08
0.4733191.7184794.272029e-08
0.4739841.7183154.190617e-08
0.4746491.7181514.109091e-08
0.4753151.7179884.027450e-08
0.4759821.7178253.945695e-08
0.476651.7176633.863825e-08
0.4773191.7175023.781839e-08
0.4779891.7173413.699739e-08
0.478661.7171813.617524e-08
0.4793321.7170213.535193e-08
0.481.7168633.453300e-08
0.4800051.7168623.452881e-08
0.4806781.7167043.390274e-08
0.4813531.7165463.327579e-08
0.4820281.7163893.264796e-08
0.4827051.7162323.201925e-08
0.4833821.7160763.138966e-08
0.4840611.7159213.075918e-08
0.484741.7157663.012782e-08
0.4854211.7156122.949557e-08
0.4861021.7154582.886244e-08
0.4867841.7153052.822842e-08
0.4874671.7151522.759350e-08
0.4881521.7152.695770e-08
0.4888371.7148482.632100e-08
0.4895231.7146972.568341e-08
0.490211.7145472.504493e-08
0.4908981.7143972.440555e-08
0.4915871.7142482.376527e-08
0.4922771.7140992.312409e-08
0.4929681.7139512.248201e-08
0.493661.7138032.183904e-08
0.4943531.7136562.119516e-08
0.4950461.713512.055037e-08
0.4957411.7133641.990468e-08
0.4964371.7132181.925809e-08
0.4971341.7130731.861058e-08
0.4978321.7129281.796217e-08
0.498531.7127841.731285e-08
0.499231.7126411.666262e-08
0.4999311.7124981.601147e-08
0.51.7124841.594700e-08
0.5006321.7123561.580071e-08
0.5013351.7122141.563815e-08
0.5020391.7120721.547535e-08
0.5027431.7119311.531233e-08
0.5034491.7117911.514908e-08
0.5041551.7116511.498560e-08
0.5048631.7115121.482189e-08
0.5055721.7113731.465795e-08
0.5062811.7112351.449378e-08
0.5069921.7110971.432938e-08
0.5077031.7109591.416475e-08
0.5084161.7108221.399989e-08
0.509131.7106861.383480e-08
0.5098441.710551.366947e-08
0.510561.7104141.350391e-08
0.5112761.7102791.333812e-08
0.5119941.7101451.317210e-08
0.5127121.7100111.300585e-08
0.5134321.7098771.283936e-08
0.5141531.7097441.267264e-08
0.5148741.7096121.250568e-08
0.5155971.7094791.233849e-08
0.5163211.7093481.217107e-08
0.5170451.7092161.200341e-08
0.5177711.7090861.183551e-08
0.5184981.7089551.166738e-08
0.5192251.7088251.149901e-08
0.5199541.7086961.133041e-08
0.5206841.7085671.116157e-08
0.5214151.7084381.099249e-08
0.5221471.708311.082318e-08
0.5228791.7081831.065363e-08
0.5236131.7080561.048384e-08
0.5243481.7079291.031381e-08
0.5250841.7078031.014354e-08
0.5258211.7076779.973037e-09
0.5265591.7075519.802292e-09
0.5272981.7074269.631308e-09
0.5280381.7073029.460083e-09
0.5287791.7071779.288618e-09
0.5295211.7070549.116912e-09
0.5302651.706938.944966e-09
0.5310091.7068088.772778e-09
0.5317541.7066858.600348e-09
0.5325011.7065638.427677e-09
0.5332481.7064428.254763e-09
0.5339961.706328.081606e-09
0.5347461.70627.908207e-09
0.5354961.7060797.734564e-09
0.5362481.7059597.560677e-09
0.5370011.705847.386546e-09
0.5377541.7057217.212171e-09
0.5385091.7056027.037551e-09
0.5392651.7054846.862686e-09
0.5400221.7053666.687576e-09
0.540781.7052486.512219e-09
0.5415391.7051316.336617e-09
0.5422991.7050146.160768e-09
0.543061.7048985.984673e-09
0.5438221.7047825.808330e-09
0.5445851.7046665.631740e-09
0.545351.7045515.454901e-09
0.5461151.7044365.277815e-09
0.5468821.7043225.100480e-09
0.5476491.7042084.922897e-09
0.5484181.7040944.745064e-09
0.5491871.7039814.566981e-09
0.5499581.7038684.388648e-09
0.551.7038624.379000e-09
0.550731.7037564.384812e-09
0.5515031.7036444.390965e-09
0.5522771.7035324.397126e-09
0.5530521.7034214.403297e-09
0.5538291.703314.409475e-09
0.5546061.7031994.415663e-09
0.5553841.7030894.421859e-09
0.5561641.7029794.428064e-09
0.5569441.7028694.434277e-09
0.5577261.702764.440499e-09
0.5585091.7026524.446730e-09
0.5592931.7025434.452970e-09
0.5600781.7024354.459219e-09
0.5608641.7023274.465476e-09
0.5616511.702224.471742e-09
0.5624391.7021134.478017e-09
0.5632291.7020064.484300e-09
0.5640191.70194.490593e-09
0.5648111.7017944.496894e-09
0.5656041.7016894.503204e-09
0.5663971.7015834.509523e-09
0.5671921.7014794.515851e-09
0.5679881.7013744.522188e-09
0.5687861.701274.528533e-09
0.5695841.7011664.534888e-09
0.5703831.7010624.541251e-09
0.5711841.7009594.547624e-09
0.5719861.7008564.554005e-09
0.5727881.7007544.560395e-09
0.5735921.7006524.566795e-09
0.5743971.700554.573203e-09
0.5752041.7004484.579620e-09
0.5760111.7003474.586046e-09
0.5768191.7002464.592481e-09
0.5776291.7001464.598926e-09
0.578441.7000464.605379e-09
0.5792511.6999464.611841e-09
0.5800641.6998464.618313e-09
0.5808791.6997474.624793e-09
0.5816941.6996484.631283e-09
0.582511.699554.637782e-09
0.5833281.6994524.644290e-09
0.5841471.6993544.650807e-09
0.5849661.6992564.657333e-09
0.5857871.6991594.663868e-09
0.586611.6990624.670413e-09
0.5874331.6989654.676966e-09
0.5882571.6988694.683529e-09
0.5890831.6987734.690101e-09
0.589911.6986774.696682e-09
0.5907381.6985824.703273e-09
0.5915671.6984864.709873e-09
0.5923971.6983924.716482e-09
0.5932291.6982974.723100e-09
0.5940611.6982034.729728e-09
0.5948951.6981094.736365e-09
0.595731.6980164.743011e-09
0.5965661.6979224.749666e-09
0.5974031.6978294.756331e-09
0.5982421.6977374.763006e-09
0.5990821.6976444.769689e-09
0.5999221.6975524.776382e-09
0.61.6975444.777000e-09
0.6007641.697464.783086e-09
0.6016081.6973694.789800e-09
0.6024521.6972784.796523e-09
0.6032981.6971874.803255e-09
0.6041441.6970964.809997e-09
0.6049921.6970064.816748e-09
0.6058411.6969164.823509e-09
0.6066921.6968264.830279e-09
0.6075431.6967364.837059e-09
0.6083961.6966474.843848e-09
0.609251.6965584.850647e-09
0.6101051.6964694.857455e-09
0.6109611.6963814.864273e-09
0.6118191.6962934.871100e-09
0.6126771.6962054.877937e-09
0.6135371.6961184.884784e-09
0.6143981.696034.891640e-09
0.6152611.6959434.898506e-09
0.6161241.6958574.905381e-09
0.6169891.695774.912266e-09
0.6178551.6956844.919161e-09
0.6187221.6955984.926066e-09
0.6195911.6955134.932980e-09
0.620461.6954274.939904e-09
0.6213311.6953424.946837e-09
0.6222031.6952574.953781e-09
0.6230761.6951734.960734e-09
0.6239511.6950894.967697e-09
0.6248271.6950054.974669e-09
0.6257041.6949214.981652e-09
0.6265821.6948374.988644e-09
0.6274611.6947544.995646e-09
0.6283421.6946715.002658e-09
0.6292241.6945885.009679e-09
0.6301071.6945065.016711e-09
0.6309911.6944245.023752e-09
0.6318771.6943425.030803e-09
0.6327641.694265.037865e-09
0.6336521.6941795.044936e-09
0.6345411.6940985.052017e-09
0.6354321.6940175.059108e-09
0.6363241.6939365.066208e-09
0.6372171.6938565.073319e-09
0.6381111.6937755.080440e-09
0.6390071.6936955.087571e-09
0.6399041.6936165.094712e-09
0.6408021.6935365.101863e-09
0.6417011.6934575.109024e-09
0.6426021.6933785.116194e-09
0.6435041.6932995.123375e-09
0.6444071.6932215.130567e-09
0.6453111.6931435.137768e-09
0.6462171.6930655.144979e-09
0.6471241.6929875.152200e-09
0.6480321.692915.159432e-09
0.6489421.6928325.166674e-09
0.6498521.6927555.173926e-09
0.651.6927435.175100e-09
0.6507651.6926795.181188e-09
0.6516781.6926025.188460e-09
0.6525931.6925265.195742e-09
0.6535091.692455.203035e-09
0.6544261.6923745.210338e-09
0.6553441.6922985.217651e-09
0.6562641.6922235.224974e-09
0.6571851.6921485.232308e-09
0.6581081.6920735.239652e-09
0.6590311.6919985.247006e-09
0.6599561.6919235.254371e-09
0.6608821.6918495.261746e-09
0.661811.6917755.269131e-09
0.6627391.6917015.276527e-09
0.6636691.6916285.283933e-09
0.6646011.6915545.291349e-09
0.6655331.6914815.298776e-09
0.6664671.6914085.306213e-09
0.6674031.6913365.313661e-09
0.668341.6912635.321119e-09
0.6692781.6911915.328588e-09
0.6702171.6911195.336067e-09
0.6711581.6910475.343557e-09
0.67211.6909765.351057e-09
0.6730431.6909045.358567e-09
0.6739881.6908335.366089e-09
0.6749331.6907625.373620e-09
0.6758811.6906915.381163e-09
0.6768291.6906215.388716e-09
0.6777791.6905515.396279e-09
0.6787311.690485.403853e-09
0.6796831.6904115.411438e-09
0.6806371.6903415.419033e-09
0.6815921.6902715.426639e-09
0.6825491.6902025.434256e-09
0.6835071.6901335.441884e-09
0.6844661.6900645.449522e-09
0.6854271.6899965.457171e-09
0.6863891.6899275.464830e-09
0.6873521.6898595.472500e-09
0.6883171.6897915.480182e-09
0.6892831.6897235.487873e-09
0.6902511.6896565.495576e-09
0.6912191.6895885.503290e-09
0.692191.6895215.511014e-09
0.6931611.6894545.518749e-09
0.6941341.6893875.526495e-09
0.6951081.689325.534252e-09
0.6960841.6892545.542020e-09
0.6970611.6891885.549798e-09
0.6980391.6891225.557588e-09
0.6990191.6890565.565389e-09
0.71.688995.573200e-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
—