Optical constants

Refractive index of Q-SK55S (HIKARI)

Q-SK55S: n,k 0.365–2.058 µm

Data
formula 3 + tabulated k
Range
0.365–2.058 µm
Temperature
296 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.365–2.058 µm
Refractive index n
1.58887
Extinction coefficient k
1.29605e-08
Permittivity ε1
2.5245
Permittivity ε2
4.11850e-08
Absorption coefficient α
0.00277172 cm⁻¹
Penetration depth δ = λ/(2πk)
7.21573e+09 nm
Abbe number Vd
61.131
Chromatic dispersion dn/dλ
-0.0498955 µm⁻¹
Group index ng
1.61819
Group velocity dispersion
85.3509 fs²/mm
Dispersion parameter D
-465.634 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

# Q-SK55S (HIKARI): Q-SK55S
hikari_q_sk55s = ls.fetch_refractiveindex("specs", "HIKARI-optical", "Q-SK55S", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_q_sk55s.range_nm)  # (365.015, 2058.09) nm
eps = hikari_q_sk55s.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=2.48678163−0.0106945057⁢λ2.0−0.000121587496⁢λ4.0+0.0138678388⁢λ−2.0+0.000128599548⁢λ−4.0+8.04132494×10-6⁢λ−6.0−1.64917822×10-7⁢λ−8.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C12.48678163
C2-0.0106945057
C32.0
C4-0.000121587496
C54.0
C60.0138678388
C7-2.0
C80.000128599548
C9-4.0
C108.04132494e-06
C11-6.0
C12-1.64917822e-07
C13-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: 2.8846e-06 1.0791e-08 -1.6882e-12 4.8996e-07 6.3939e-10 0.16525
nd
1.588870
Vd
61.131395
density
value: 2950
thermal expansion
value: 6.6e-06, temperature range: 243 343
dPgF
-0.0034

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = 2.01e-06 K⁻¹ at 633 nm, dn/dT = 1.49e-06 K⁻¹ at 1310 nm, dn/dT = 1.44e-06 K⁻¹ at 1550 nm

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 421 wavelengths, the same grid as the API and the library
Q-SK55S (HIKARI), Q-SK55S: n and k versus wavelength
λ (µm)nk
0.3650151.6123155.273422e-08
0.3666011.6119725.011495e-08
0.3681931.6116334.748429e-08
0.3697931.6112984.484221e-08
0.371.6112544.450000e-08
0.3713991.6109654.252588e-08
0.3730131.6106364.024963e-08
0.3746331.610313.796349e-08
0.3762611.6099883.566742e-08
0.3778951.6096693.336138e-08
0.3795371.6093533.104532e-08
0.381.6092643.039200e-08
0.3811861.609042.900293e-08
0.3828421.608732.706298e-08
0.3845051.6084232.511459e-08
0.3861751.6081192.315774e-08
0.3878531.6078192.119239e-08
0.3895381.6075211.921851e-08
0.391.607441.867700e-08
0.391231.6072261.834219e-08
0.392931.6069341.787956e-08
0.3946371.6066451.741492e-08
0.3963511.6063591.694826e-08
0.3980731.6060761.647958e-08
0.3998021.6057951.600886e-08
0.41.6057631.595500e-08
0.4015391.6055171.575809e-08
0.4032831.6052421.553489e-08
0.4050351.604971.531073e-08
0.4067951.60471.508560e-08
0.4085621.6044331.485948e-08
0.4103371.6041681.463238e-08
0.412121.6039061.440430e-08
0.413911.6036461.417523e-08
0.4157081.6033891.394516e-08
0.4175141.6031341.371409e-08
0.4193281.6028821.348201e-08
0.421.602791.339600e-08
0.4211491.6026321.363479e-08
0.4229791.6023851.401488e-08
0.4248171.602141.439663e-08
0.4266621.6018971.478003e-08
0.4285161.6016571.516510e-08
0.4303771.6014181.555184e-08
0.4322471.6011821.594026e-08
0.4341251.6009491.633037e-08
0.436011.6007171.672218e-08
0.4379051.6004881.711568e-08
0.4398071.600261.751090e-08
0.441.6002371.755100e-08
0.4417181.6000351.698823e-08
0.4436371.5998121.635949e-08
0.4455641.5995911.572803e-08
0.4474991.5993721.509382e-08
0.4494431.5991551.445685e-08
0.4513961.598941.381712e-08
0.4533571.5987271.317461e-08
0.4553261.5985161.252930e-08
0.4573041.5983071.188120e-08
0.4592911.59811.123028e-08
0.461.5980271.099800e-08
0.4612861.5978951.102874e-08
0.463291.5976911.107664e-08
0.4653031.597491.112474e-08
0.4673241.597291.117305e-08
0.4693541.5970921.122157e-08
0.4713931.5968961.127030e-08
0.4734411.5967021.131925e-08
0.4754981.5965091.136840e-08
0.4775641.5963181.141777e-08
0.4796381.5961291.146736e-08
0.481.5960961.147600e-08
0.4817221.5959411.117376e-08
0.4838151.5957551.080645e-08
0.4859171.5955711.043756e-08
0.4880271.5953891.006706e-08
0.4901481.5952089.694945e-09
0.4922771.5950289.321219e-09
0.4944151.5948518.945868e-09
0.4965631.5946748.568887e-09
0.4987211.59458.190268e-09
0.51.5943977.965700e-09
0.5008871.5943267.979833e-09
0.5030631.5941558.014500e-09
0.5052481.5939848.049319e-09
0.5074431.5938168.084288e-09
0.5096481.5936488.119409e-09
0.5118621.5934838.154683e-09
0.5140861.5933188.190110e-09
0.5163191.5931558.225692e-09
0.5185621.5929948.261427e-09
0.5208151.5928338.297318e-09
0.5230771.5926758.333365e-09
0.5253491.5925178.369568e-09
0.5276321.5923618.405929e-09
0.5299241.5922068.442448e-09
0.5322261.5920528.479125e-09
0.5345381.59198.515961e-09
0.536861.5917498.552958e-09
0.5391931.5915998.590115e-09
0.5415351.5914518.627434e-09
0.5438871.5913038.664915e-09
0.546251.5911578.702559e-09
0.5486231.5910128.740366e-09
0.551.5909298.762300e-09
0.5510071.5908698.874693e-09
0.55341.5907269.141960e-09
0.5558041.5905859.410387e-09
0.5582191.5904459.679981e-09
0.5606441.5903069.950746e-09
0.563081.5901681.022269e-08
0.5655261.5900311.049581e-08
0.5679821.5898951.077012e-08
0.570451.589761.104562e-08
0.5729281.5896271.132232e-08
0.5754171.5894941.160022e-08
0.5779171.5893631.187932e-08
0.5804271.5892321.215964e-08
0.5829491.5891031.244118e-08
0.5854811.5889741.272394e-08
0.5880251.5888471.300793e-08
0.5905791.588721.329315e-08
0.5931451.5885951.357961e-08
0.5957221.5884711.386732e-08
0.598311.5883471.415627e-08
0.61.5882671.434500e-08
0.6009091.5882241.446110e-08
0.6035191.5881031.479457e-08
0.6061411.5879821.512948e-08
0.6087741.5878621.546585e-08
0.6114191.5877431.580367e-08
0.6140751.5876251.614297e-08
0.6167431.5875081.648374e-08
0.6194221.5873921.682599e-08
0.6221131.5872761.716973e-08
0.6248161.5871621.751496e-08
0.627531.5870481.786169e-08
0.6302561.5869351.820993e-08
0.6329941.5868231.855968e-08
0.6357441.5867121.891095e-08
0.6385061.5866011.926374e-08
0.641281.5864921.961807e-08
0.6440661.5863831.997394e-08
0.6468641.5862742.033135e-08
0.6496741.5861672.069031e-08
0.651.5861552.073200e-08
0.6524961.586062.081157e-08
0.6553311.5859552.090194e-08
0.6581781.5858492.099270e-08
0.6610371.5857452.108385e-08
0.6639081.5856412.117540e-08
0.6667931.5855382.126735e-08
0.6696891.5854362.135970e-08
0.6725991.5853342.145244e-08
0.6755211.5852332.154560e-08
0.6784551.5851332.163915e-08
0.6814031.5850332.173311e-08
0.6843631.5849342.182748e-08
0.6873361.5848362.192226e-08
0.6903221.5847382.201746e-08
0.6933211.5846412.211306e-08
0.6963331.5845452.220908e-08
0.6993581.5844492.230552e-08
0.71.5844292.232600e-08
0.7023961.5843542.363242e-08
0.7054471.5842592.529633e-08
0.7085121.5841652.696747e-08
0.711591.5840722.864587e-08
0.7146811.5839793.033157e-08
0.7177861.5838873.202458e-08
0.7209041.5837953.372495e-08
0.7240361.5837043.543271e-08
0.7271811.5836133.714789e-08
0.730341.5835233.887051e-08
0.7335131.5834334.060062e-08
0.73671.5833444.233825e-08
0.73991.5832564.408343e-08
0.7431141.5831684.583618e-08
0.7463421.583084.759655e-08
0.7495851.5829934.936457e-08
0.7528411.5829065.114027e-08
0.7561121.582825.292369e-08
0.7593961.5827355.471485e-08
0.7626951.5826495.651379e-08
0.7660091.5825655.832055e-08
0.7693361.582486.013515e-08
0.7726791.5823966.195764e-08
0.7760351.5823136.378805e-08
0.7794071.582236.562641e-08
0.7827931.5821476.747275e-08
0.7861931.5820656.932712e-08
0.7896091.5819847.118954e-08
0.7930391.5819027.306005e-08
0.7964841.5818217.493869e-08
0.7999441.5817417.682549e-08
0.81.5817397.685600e-08
0.8034191.581667.447315e-08
0.8069091.5815817.204079e-08
0.8104151.5815016.959786e-08
0.8139351.5814226.714432e-08
0.8174711.5813436.468012e-08
0.8210231.5812656.220521e-08
0.8245891.5811875.971955e-08
0.8281721.5811095.722310e-08
0.8317691.5810325.471579e-08
0.8353831.5809555.219760e-08
0.8390121.5808784.966847e-08
0.8426571.5808024.712835e-08
0.8463171.5807254.457719e-08
0.8499941.580654.201496e-08
0.8536871.5805743.944159e-08
0.8573951.5804993.685704e-08
0.861121.5804243.426126e-08
0.8648611.5803493.165421e-08
0.8686181.5802752.903583e-08
0.8723911.58022.640608e-08
0.8761811.5801262.376490e-08
0.8799881.5800532.111225e-08
0.8838111.5799791.844807e-08
0.887651.5799061.577232e-08
0.8915061.5798331.308495e-08
0.8953791.579761.038590e-08
0.8992691.5796887.675131e-09
0.91.5796747.165600e-09
0.9031751.5796167.190880e-09
0.9070991.5795437.222116e-09
0.911041.5794727.253487e-09
0.9149981.57947.284995e-09
0.9189721.5793287.316640e-09
0.9229651.5792577.348422e-09
0.9269741.5791867.380342e-09
0.9310011.5791157.412401e-09
0.9350461.5790447.444599e-09
0.9391081.5789737.476937e-09
0.9431881.5789037.509416e-09
0.9472851.5788327.542036e-09
0.95141.5787627.574797e-09
0.9555331.5786927.607701e-09
0.9596841.5786227.640747e-09
0.9638531.5785527.673937e-09
0.9680411.5784837.707272e-09
0.9722461.5784137.740751e-09
0.976471.5783447.774375e-09
0.9807121.5782747.808146e-09
0.9849721.5782057.842063e-09
0.9892511.5781367.876128e-09
0.9935491.5780677.910341e-09
0.9978651.5779987.944702e-09
11.5779647.961700e-09
1.00221.5779297.979215e-09
1.006551.577868.013880e-09
1.010931.5777918.048695e-09
1.015321.5777238.083662e-09
1.019731.5776548.118781e-09
1.024161.5775858.154052e-09
1.028611.5775178.189476e-09
1.033081.5774488.225055e-09
1.037561.577388.260787e-09
1.042071.5773118.296676e-09
1.04661.5772438.332720e-09
1.051151.5771748.368920e-09
1.055711.5771068.405278e-09
1.06031.5770388.441794e-09
1.06491.5769698.478468e-09
1.069531.5769018.515302e-09
1.074181.5768328.552296e-09
1.078841.5767648.589450e-09
1.083531.5766958.626766e-09
1.088241.5766278.664244e-09
1.092961.5765588.701885e-09
1.097711.576498.739689e-09
1.102481.5764218.777658e-09
1.107271.5763538.815791e-09
1.112081.5762848.854090e-09
1.116911.5762158.892556e-09
1.121761.5761468.931189e-09
1.126641.5760778.969989e-09
1.131531.5760099.008958e-09
1.136451.5759399.048097e-09
1.141381.575879.087405e-09
1.146341.5758019.126884e-09
1.151321.5757329.166535e-09
1.156321.5756629.206357e-09
1.161351.5755939.246353e-09
1.166391.5755239.286523e-09
1.171461.5754539.326867e-09
1.176551.5753839.367386e-09
1.181661.5753139.408082e-09
1.186791.5752439.448954e-09
1.191951.5751739.490004e-09
1.197131.5751029.531232e-09
1.21.5750639.554100e-09
1.202331.5750329.962732e-09
1.207551.5749611.087937e-08
1.21281.574891.180000e-08
1.218071.5748191.272462e-08
1.223361.5747481.365326e-08
1.228671.5746761.458594e-08
1.234011.5746041.552266e-08
1.239371.5745321.646346e-08
1.244751.574461.740834e-08
1.250161.5743881.835733e-08
1.255591.5743161.931044e-08
1.261051.5742432.026769e-08
1.266531.574172.122910e-08
1.272031.5740972.219469e-08
1.277551.5740232.316447e-08
1.28311.573952.413846e-08
1.288681.5738762.511669e-08
1.294281.5738022.609916e-08
1.29991.5737272.708590e-08
1.305551.5736532.807693e-08
1.311221.5735782.907227e-08
1.316911.5735023.007193e-08
1.322641.5734273.107593e-08
1.328381.5733513.208429e-08
1.334151.5732753.309703e-08
1.339951.5731983.411418e-08
1.345771.5731223.513574e-08
1.351621.5730453.616174e-08
1.357491.5729673.719219e-08
1.363381.572893.822713e-08
1.369311.5728113.926656e-08
1.375261.5727334.031050e-08
1.381231.5726544.135898e-08
1.387231.5725754.241202e-08
1.393261.5724964.346963e-08
1.399311.5724164.453183e-08
1.41.5724074.465300e-08
1.405391.5723364.482487e-08
1.411491.5722554.501960e-08
1.417631.5721744.521517e-08
1.423781.5720934.541160e-08
1.429971.5720114.560887e-08
1.436181.5719294.580701e-08
1.442421.5718464.600601e-08
1.448691.5717634.620587e-08
1.454981.571684.640660e-08
1.46131.5715964.660820e-08
1.467651.5715114.681067e-08
1.474031.5714274.701403e-08
1.480431.5713414.721827e-08
1.486861.5712564.742340e-08
1.493321.5711694.762942e-08
1.499811.5710834.783633e-08
1.506321.5709964.804414e-08
1.512871.5709084.825286e-08
1.519441.570824.846248e-08
1.526041.5707314.867301e-08
1.532671.5706424.888446e-08
1.539331.5705524.909682e-08
1.546011.5704624.931011e-08
1.552731.5703714.952433e-08
1.559481.570284.973947e-08
1.566251.5701884.995555e-08
1.573051.5700955.017257e-08
1.579891.5700025.039053e-08
1.586751.5699095.060944e-08
1.593641.5698145.082930e-08
1.61.5697275.103200e-08
1.600571.569725.129588e-08
1.607521.5696245.452663e-08
1.61451.5695285.777142e-08
1.621521.5694316.103031e-08
1.628561.5693346.430335e-08
1.635641.5692366.759061e-08
1.642741.5691387.089215e-08
1.649881.5690387.420804e-08
1.657051.5689387.753833e-08
1.664251.5688388.088309e-08
1.671481.5687378.424237e-08
1.678741.5686358.761625e-08
1.686031.5685329.100479e-08
1.693351.5684299.440805e-08
1.700711.5683249.782610e-08
1.70811.568221.012590e-07
1.715521.5681141.047068e-07
1.722971.5680081.081696e-07
1.730461.5679011.116474e-07
1.737971.5677931.151403e-07
1.745521.5676841.186484e-07
1.753111.5675751.221718e-07
1.760721.5674651.257105e-07
1.768371.5673541.292645e-07
1.776051.5672421.328340e-07
1.783771.5671291.364189e-07
1.791521.5670161.400195e-07
1.79931.5669011.436357e-07
1.81.5668911.439600e-07
1.807121.5667861.502806e-07
1.814971.566671.572511e-07
1.822851.5665531.642518e-07
1.830771.5664351.712830e-07
1.838731.5663171.783448e-07
1.846711.5661971.854372e-07
1.854741.5660761.925604e-07
1.862791.5659551.997146e-07
1.870891.5658332.068998e-07
1.879011.5657092.141163e-07
1.887181.5655852.213641e-07
1.895371.5654592.286434e-07
1.903611.5653332.359544e-07
1.911881.5652062.432970e-07
1.920181.5650782.506716e-07
1.928531.5649482.580783e-07
1.93691.5648182.655171e-07
1.945321.5646862.729882e-07
1.953771.5645542.804917e-07
1.962261.564422.880279e-07
1.970781.5642862.955968e-07
1.979341.564153.031986e-07
1.987941.5640133.108334e-07
1.996581.5638753.185014e-07
21.563823.215400e-07
2.005251.5637363.439911e-07
2.013961.5635963.812345e-07
2.022711.5634544.186396e-07
2.03151.5633114.562072e-07
2.040321.5631684.939381e-07
2.049191.5630235.318328e-07
2.058091.5628765.698922e-07

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
—