Optical constants

Refractive index of Q-FKHH2S (HIKARI)

Q-FKHH2S: 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
1.45562
Extinction coefficient k
1.76522e-08
Permittivity ε1
2.11883
Permittivity ε2
5.13898e-08
Absorption coefficient α
0.00377509 cm⁻¹
Penetration depth δ = λ/(2πk)
5.29788e+09 nm
Abbe number Vd
91.308
Chromatic dispersion dn/dλ
-0.0258904 µm⁻¹
Group index ng
1.47083
Group velocity dispersion
44.1327 fs²/mm
Dispersion parameter D
-240.767 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-FKHH2S (HIKARI): Q-FKHH2S
hikari_q_fk2s = ls.fetch_refractiveindex("specs", "HIKARI-optical", "Q-FK2S", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_q_fk2s.range_nm)  # (365.015, 2058.09) nm
eps = hikari_q_fk2s.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=2.10025148−0.00458689757⁢λ2.0−2.09903123×10-5⁢λ4.0+0.00685727645⁢λ−2.0+2.32345667×10-5⁢λ−4.0+4.89859472×10-6⁢λ−6.0−1.82336191×10-7⁢λ−8.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C12.10025148
C2-0.00458689757
C32.0
C4-2.09903123e-05
C54.0
C60.00685727645
C7-2.0
C82.32345667e-05
C9-4.0
C104.89859472e-06
C11-6.0
C12-1.82336191e-07
C13-8.0

Comments and conditions

For mold lens

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: -1.998e-05 -7.2484e-09 -1.0199e-12 3.9343e-07 3.3572e-10 0.10375
nd
1.455620
Vd
91.307727
density
value: 3670
thermal expansion
value: 1.34e-05, temperature range: 243 343
dPgF
0.0431
resistance
phosphate: 4.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = -7.28e-06 K⁻¹ at 633 nm, dn/dT = -7.48e-06 K⁻¹ at 1310 nm, dn/dT = -7.48e-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-FKHH2S (HIKARI), Q-FKHH2S: n and k versus wavelength
λ (µm)nk
0.3650151.467621.094142e-07
0.3666011.4674489.928338e-08
0.3681931.4672778.910858e-08
0.3697931.4671087.888958e-08
0.371.4670867.756600e-08
0.3713991.4669417.267799e-08
0.3730131.4667756.704190e-08
0.3746331.4666116.138133e-08
0.3762611.4664485.569616e-08
0.3778951.4662874.998630e-08
0.3795371.4661274.425164e-08
0.381.4660834.263400e-08
0.3811861.4659694.090570e-08
0.3828421.4658133.849197e-08
0.3845051.4656583.606776e-08
0.3861751.4655043.363302e-08
0.3878531.4653523.118769e-08
0.3895381.4652012.873175e-08
0.391.465162.805800e-08
0.391231.4650512.696304e-08
0.392931.4649032.545007e-08
0.3946371.4647572.393051e-08
0.3963511.4646112.240436e-08
0.3980731.4644682.087158e-08
0.3998021.4643251.933213e-08
0.41.4643091.915600e-08
0.4015391.4641841.922972e-08
0.4032831.4640441.931327e-08
0.4050351.4639051.939719e-08
0.4067951.4637681.948147e-08
0.4085621.4636321.956612e-08
0.4103371.4634971.965114e-08
0.412121.4633631.973653e-08
0.413911.4632311.982229e-08
0.4157081.46311.990842e-08
0.4175141.462971.999492e-08
0.4193281.4628412.008180e-08
0.421.4627942.011400e-08
0.4211491.4627142.016906e-08
0.4229791.4625872.025669e-08
0.4248171.4624622.034471e-08
0.4266621.4623382.043311e-08
0.4285161.4622152.052189e-08
0.4303771.4620932.061106e-08
0.4322471.4619722.070062e-08
0.4341251.4618522.079057e-08
0.436011.4617342.088090e-08
0.4379051.4616162.097163e-08
0.4398071.46152.106275e-08
0.441.4614882.107200e-08
0.4417181.4613842.083815e-08
0.4436371.461272.057689e-08
0.4455641.4611572.031449e-08
0.4474991.4610442.005095e-08
0.4494431.4609331.978627e-08
0.4513961.4608231.952044e-08
0.4533571.4607131.925346e-08
0.4553261.4606051.898531e-08
0.4573041.4604971.871600e-08
0.4592911.4603911.844552e-08
0.461.4603531.834900e-08
0.4612861.4602851.815354e-08
0.463291.4601811.784904e-08
0.4653031.4600771.754322e-08
0.4673241.4599741.723607e-08
0.4693541.4598721.692759e-08
0.4713931.4597711.661776e-08
0.4734411.4596711.630659e-08
0.4754981.4595721.599407e-08
0.4775641.4594741.568019e-08
0.4796381.4593761.536495e-08
0.481.4593591.531000e-08
0.4817221.4592791.536485e-08
0.4838151.4591841.543150e-08
0.4859171.4590891.549844e-08
0.4880271.4589941.556568e-08
0.4901481.4589011.563320e-08
0.4922771.4588081.570102e-08
0.4944151.4587171.576913e-08
0.4965631.4586261.583754e-08
0.4987211.4585351.590625e-08
0.51.4584821.594700e-08
0.5008871.4584461.589738e-08
0.5030631.4583571.577565e-08
0.5052481.4582691.565340e-08
0.5074431.4581821.553062e-08
0.5096481.4580961.540730e-08
0.5118621.458011.528345e-08
0.5140861.4579251.515906e-08
0.5163191.4578411.503412e-08
0.5185621.4577571.490865e-08
0.5208151.4576741.478263e-08
0.5230771.4575921.465607e-08
0.5253491.457511.452895e-08
0.5276321.457431.440128e-08
0.5299241.4573491.427306e-08
0.5322261.457271.414428e-08
0.5345381.4571911.401494e-08
0.536861.4571131.388504e-08
0.5391931.4570351.375457e-08
0.5415351.4569581.362354e-08
0.5438871.4568821.349194e-08
0.546251.4568061.335976e-08
0.5486231.4567311.322701e-08
0.551.4566881.315000e-08
0.5510071.4566571.327053e-08
0.55341.4565831.355715e-08
0.5558041.4565091.384502e-08
0.5582191.4564371.413414e-08
0.5606441.4563651.442451e-08
0.563081.4562931.471615e-08
0.5655261.4562221.500905e-08
0.5679821.4561521.530322e-08
0.570451.4560821.559868e-08
0.5729281.4560131.589541e-08
0.5754171.4559441.619344e-08
0.5779171.4558761.649276e-08
0.5804271.4558081.679338e-08
0.5829491.4557411.709530e-08
0.5854811.4556741.739854e-08
0.5880251.4556081.770310e-08
0.5905791.4555421.800897e-08
0.5931451.4554771.831618e-08
0.5957221.4554131.862472e-08
0.598311.4553491.893460e-08
0.61.4553071.913700e-08
0.6009091.4552851.916599e-08
0.6035191.4552221.924927e-08
0.6061411.4551591.933290e-08
0.6087741.4550971.941690e-08
0.6114191.4550351.950127e-08
0.6140751.4549741.958600e-08
0.6167431.4549131.967110e-08
0.6194221.4548531.975657e-08
0.6221131.4547931.984241e-08
0.6248161.4547331.992862e-08
0.627531.4546742.001521e-08
0.6302561.4546162.010217e-08
0.6329941.4545582.018951e-08
0.6357441.45452.027724e-08
0.6385061.4544432.036534e-08
0.641281.4543862.045382e-08
0.6440661.4543292.054269e-08
0.6468641.4542732.063195e-08
0.6496741.4542172.072159e-08
0.651.4542112.073200e-08
0.6524961.4541622.081157e-08
0.6553311.4541072.090194e-08
0.6581781.4540532.099270e-08
0.6610371.4539982.108385e-08
0.6639081.4539452.117540e-08
0.6667931.4538912.126735e-08
0.6696891.4538382.135970e-08
0.6725991.4537852.145244e-08
0.6755211.4537332.154560e-08
0.6784551.4536812.163915e-08
0.6814031.453632.173311e-08
0.6843631.4535782.182748e-08
0.6873361.4535272.192226e-08
0.6903221.4534772.201746e-08
0.6933211.4534262.211306e-08
0.6963331.4533762.220908e-08
0.6993581.4533272.230552e-08
0.71.4533162.232600e-08
0.7023961.4532782.301618e-08
0.7054471.4532292.389522e-08
0.7085121.453182.477807e-08
0.711591.4531322.566477e-08
0.7146811.4530842.655531e-08
0.7177861.4530362.744973e-08
0.7209041.4529882.834802e-08
0.7240361.4529412.925023e-08
0.7271811.4528943.015635e-08
0.730341.4528483.106641e-08
0.7335131.4528013.198042e-08
0.73671.4527553.289840e-08
0.73991.452713.382037e-08
0.7431141.4526643.474634e-08
0.7463421.4526193.567634e-08
0.7495851.4525743.661038e-08
0.7528411.4525293.754848e-08
0.7561121.4524853.849065e-08
0.7593961.4524413.943691e-08
0.7626951.4523974.038728e-08
0.7660091.4523534.134179e-08
0.7693361.452314.230044e-08
0.7726791.4522664.326325e-08
0.7760351.4522234.423025e-08
0.7794071.4521814.520145e-08
0.7827931.4521384.617686e-08
0.7861931.4520964.715652e-08
0.7896091.4520544.814043e-08
0.7930391.4520124.912861e-08
0.7964841.451975.012109e-08
0.7999441.4519295.111788e-08
0.81.4519285.113400e-08
0.8034191.4518885.085934e-08
0.8069091.4518475.057897e-08
0.8104151.4518065.029738e-08
0.8139351.4517665.001456e-08
0.8174711.4517254.973052e-08
0.8210231.4516854.944525e-08
0.8245891.4516454.915873e-08
0.8281721.4516054.887098e-08
0.8317691.4515654.858197e-08
0.8353831.4515264.829170e-08
0.8390121.4514874.800018e-08
0.8426571.4514484.770738e-08
0.8463171.4514094.741332e-08
0.8499941.451374.711798e-08
0.8536871.4513314.682135e-08
0.8573951.4512934.652344e-08
0.861121.4512554.622423e-08
0.8648611.4512164.592373e-08
0.8686181.4511784.562191e-08
0.8723911.4511414.531879e-08
0.8761811.4511034.501435e-08
0.8799881.4510654.470859e-08
0.8838111.4510284.440150e-08
0.887651.4509914.409307e-08
0.8915061.4509544.378331e-08
0.8953791.4509174.347219e-08
0.8992691.450884.315973e-08
0.91.4508734.310100e-08
0.9031751.4508434.350743e-08
0.9070991.4508074.400961e-08
0.911041.450774.451398e-08
0.9149981.4507344.502053e-08
0.9189721.4506974.552929e-08
0.9229651.4506614.604025e-08
0.9269741.4506254.655344e-08
0.9310011.4505894.706885e-08
0.9350461.4505544.758651e-08
0.9391081.4505184.810641e-08
0.9431881.4504824.862857e-08
0.9472851.4504474.915300e-08
0.95141.4504114.967971e-08
0.9555331.4503765.020871e-08
0.9596841.4503415.074000e-08
0.9638531.4503065.127360e-08
0.9680411.450275.180952e-08
0.9722461.4502355.234777e-08
0.976471.4502015.288836e-08
0.9807121.4501665.343129e-08
0.9849721.4501315.397659e-08
0.9892511.4500965.452425e-08
0.9935491.4500625.507429e-08
0.9978651.4500275.562672e-08
11.450015.590000e-08
1.00221.4499925.581163e-08
1.006551.4499585.563674e-08
1.010931.4499245.546109e-08
1.015321.4498895.528468e-08
1.019731.4498555.510749e-08
1.024161.4498215.492954e-08
1.028611.4497865.475082e-08
1.033081.4497525.457132e-08
1.037561.4497185.439104e-08
1.042071.4496845.420998e-08
1.04661.449655.402813e-08
1.051151.4496165.384549e-08
1.055711.4495825.366205e-08
1.06031.4495485.347782e-08
1.06491.4495145.329279e-08
1.069531.449485.310696e-08
1.074181.4494465.292032e-08
1.078841.4494125.273287e-08
1.083531.4493785.254460e-08
1.088241.4493455.235551e-08
1.092961.4493115.216561e-08
1.097711.4492775.197488e-08
1.102481.4492435.178332e-08
1.107271.4492095.159093e-08
1.112081.4491755.139770e-08
1.116911.4491415.120363e-08
1.121761.4491085.100872e-08
1.126641.4490745.081296e-08
1.131531.449045.061636e-08
1.136451.4490065.041890e-08
1.141381.4489725.022058e-08
1.146341.4489385.002140e-08
1.151321.4489044.982135e-08
1.156321.448874.962044e-08
1.161351.4488364.941865e-08
1.166391.4488024.921598e-08
1.171461.4487684.901244e-08
1.176551.4487344.880801e-08
1.181661.44874.860269e-08
1.186791.4486654.839648e-08
1.191951.4486314.818938e-08
1.197131.4485974.798137e-08
1.21.4485784.786600e-08
1.202331.4485624.808930e-08
1.207551.4485284.859020e-08
1.21281.4484944.909328e-08
1.218071.4484594.959855e-08
1.223361.4484245.010601e-08
1.228671.448395.061568e-08
1.234011.4483555.112756e-08
1.239371.448325.164166e-08
1.244751.4482855.215800e-08
1.250161.4482515.267658e-08
1.255591.4482165.319741e-08
1.261051.448185.372051e-08
1.266531.4481455.424587e-08
1.272031.448115.477352e-08
1.277551.4480755.530347e-08
1.28311.4480395.583571e-08
1.288681.4480045.637027e-08
1.294281.4479685.690715e-08
1.29991.4479325.744636e-08
1.305551.4478975.798791e-08
1.311221.4478615.853182e-08
1.316911.4478255.907809e-08
1.322641.4477885.962673e-08
1.328381.4477526.017775e-08
1.334151.4477166.073117e-08
1.339951.4476796.128700e-08
1.345771.4476436.184524e-08
1.351621.4476066.240590e-08
1.357491.4475696.296900e-08
1.363381.4475326.353454e-08
1.369311.4474956.410255e-08
1.375261.4474586.467302e-08
1.381231.447426.524596e-08
1.387231.4473836.582140e-08
1.393261.4473456.639934e-08
1.399311.4473076.697979e-08
1.41.4473036.704600e-08
1.405391.4472696.730405e-08
1.411491.4472316.759644e-08
1.417631.4471936.789009e-08
1.423781.4471546.818502e-08
1.429971.4471166.848124e-08
1.436181.4470776.877873e-08
1.442421.4470386.907753e-08
1.448691.4469996.937761e-08
1.454981.446966.967901e-08
1.46131.446926.998171e-08
1.467651.446887.028573e-08
1.474031.4468417.059106e-08
1.480431.4468017.089773e-08
1.486861.446767.120572e-08
1.493321.446727.151506e-08
1.499811.4466797.182574e-08
1.506321.4466387.213776e-08
1.512871.4465977.245115e-08
1.519441.4465567.276589e-08
1.526041.4465157.308200e-08
1.532671.4464737.339949e-08
1.539331.4464317.371835e-08
1.546011.4463897.403860e-08
1.552731.4463477.436024e-08
1.559481.4463047.468328e-08
1.566251.4462627.500772e-08
1.573051.4462197.533358e-08
1.579891.4461757.566084e-08
1.586751.4461327.598953e-08
1.593641.4460887.631965e-08
1.61.4460487.662400e-08
1.600571.4460447.677415e-08
1.607521.4467.861244e-08
1.61451.4459558.045873e-08
1.621521.4459118.231303e-08
1.628561.4458668.417539e-08
1.635641.445828.604584e-08
1.642741.4457758.792442e-08
1.649881.4457298.981116e-08
1.657051.4456839.170609e-08
1.664251.4456379.360926e-08
1.671481.445599.552069e-08
1.678741.4455439.744043e-08
1.686031.4454969.936851e-08
1.693351.4454481.013050e-07
1.700711.44541.032498e-07
1.70811.4453521.052031e-07
1.715521.4453041.071649e-07
1.722971.4452551.091353e-07
1.730461.4452061.111141e-07
1.737971.4451571.131016e-07
1.745521.4451071.150977e-07
1.753111.4450571.171025e-07
1.760721.4450071.191160e-07
1.768371.4449561.211383e-07
1.776051.4449051.231693e-07
1.783771.4448541.252091e-07
1.791521.4448021.272578e-07
1.79931.444751.293155e-07
1.81.4447451.295000e-07
1.807121.4446971.277302e-07
1.814971.4446451.257785e-07
1.822851.4445911.238182e-07
1.830771.4445381.218495e-07
1.838731.4444841.198721e-07
1.846711.444431.178862e-07
1.854741.4443751.158917e-07
1.862791.444321.138885e-07
1.870891.4442651.118766e-07
1.879011.4442091.098560e-07
1.887181.4441531.078266e-07
1.895371.4440961.057884e-07
1.903611.4440391.037413e-07
1.911881.4439811.016853e-07
1.920181.4439249.962038e-08
1.928531.4438659.754650e-08
1.93691.4438079.546361e-08
1.945321.4437479.337168e-08
1.953771.4436889.127065e-08
1.962261.4436288.916050e-08
1.970781.4435678.704118e-08
1.979341.4435068.491265e-08
1.987941.4434458.277488e-08
1.996581.4433838.062782e-08
21.4433597.977700e-08
2.005251.4433218.044873e-08
2.013961.4432588.156303e-08
2.022711.4431958.268218e-08
2.03151.4431318.380618e-08
2.040321.4430678.493507e-08
2.049191.4430028.606886e-08
2.058091.4429378.720758e-08

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
—