Optical constants

Refractive index of Q-FK01S (HIKARI)

Q-FK01S: 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
1.49649
Extinction coefficient k
3.28468e-08
Permittivity ε1
2.23948
Permittivity ε2
9.83099e-08
Absorption coefficient α
0.0070246 cm⁻¹
Penetration depth δ = λ/(2πk)
2.84714e+09 nm
Abbe number Vd
81.672
Chromatic dispersion dn/dλ
-0.0314922 µm⁻¹
Group index ng
1.51499
Group velocity dispersion
54.3049 fs²/mm
Dispersion parameter D
-296.262 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-FK01S (HIKARI): Q-FK01S
hikari_q_fk01s = ls.fetch_refractiveindex("specs", "HIKARI-optical", "Q-FK01S", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_q_fk01s.range_nm)  # (365.015, 2058.09) nm
eps = hikari_q_fk01s.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=2.21641522−0.00558178713⁢λ2.0−2.81150445×10-5⁢λ4.0+0.00836994471⁢λ−2.0+8.86932152×10-5⁢λ−4.0+2.35585693×10-7⁢λ−6.0+4.16602253×10-8⁢λ−8.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C12.21641522
C2-0.00558178713
C32.0
C4-2.81150445e-05
C54.0
C60.00836994471
C7-2.0
C88.86932152e-05
C9-4.0
C102.35585693e-07
C11-6.0
C124.16602253e-08
C13-8.0

Comments and conditions

For mold lens

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: -1.6982e-05 -4.1144e-09 1.7023e-13 4.3085e-07 5.3884e-11 0.10907
nd
1.496490
Vd
81.671513
density
value: 3610
thermal expansion
value: 1.24e-05, temperature range: 243 343
dPgF
0.0298
resistance
phosphate: 4.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = -6.56e-06 K⁻¹ at 633 nm, dn/dT = -6.82e-06 K⁻¹ at 1310 nm, dn/dT = -6.82e-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-FK01S (HIKARI), Q-FK01S: n and k versus wavelength
λ (µm)nk
0.3650151.5111987.945096e-08
0.3666011.5109867.405574e-08
0.3681931.5107756.863708e-08
0.3697931.5105676.319488e-08
0.371.510546.249000e-08
0.3713991.5103615.928268e-08
0.3730131.5101575.558450e-08
0.3746331.5099555.187026e-08
0.3762611.5097544.813988e-08
0.3778951.5095564.439329e-08
0.3795371.5093594.063043e-08
0.381.5093043.956900e-08
0.3811861.5091653.857561e-08
0.3828421.5089723.718824e-08
0.3845051.5087813.579485e-08
0.3861751.5085923.439541e-08
0.3878531.5084053.298989e-08
0.3895381.5082193.157826e-08
0.391.5081693.119100e-08
0.391231.5080363.089420e-08
0.392931.5078543.048409e-08
0.3946371.5076733.007219e-08
0.3963511.5074952.965851e-08
0.3980731.5073182.924303e-08
0.3998021.5071432.882574e-08
0.41.5071232.877800e-08
0.4015391.5069692.888865e-08
0.4032831.5067972.901407e-08
0.4050351.5066272.914004e-08
0.4067951.5064582.926655e-08
0.4085621.5062912.939361e-08
0.4103371.5061252.952123e-08
0.412121.5059612.964940e-08
0.413911.5057992.977812e-08
0.4157081.5056382.990741e-08
0.4175141.5054783.003726e-08
0.4193281.505323.016767e-08
0.421.5052623.021600e-08
0.4211491.5051643.050186e-08
0.4229791.5050093.095687e-08
0.4248171.5048553.141387e-08
0.4266621.5047033.187284e-08
0.4285161.5045523.233381e-08
0.4303771.5044023.279678e-08
0.4322471.5042543.326177e-08
0.4341251.5041073.372877e-08
0.436011.5039623.419781e-08
0.4379051.5038183.466888e-08
0.4398071.5036753.514199e-08
0.441.5036613.519000e-08
0.4417181.5035333.501000e-08
0.4436371.5033933.480889e-08
0.4455641.5032543.460692e-08
0.4474991.5031173.440406e-08
0.4494431.502983.420033e-08
0.4513961.5028453.399571e-08
0.4533571.5027113.379020e-08
0.4553261.5025783.358379e-08
0.4573041.5024463.337649e-08
0.4592911.5023163.316829e-08
0.461.502273.309400e-08
0.4612861.5021873.293880e-08
0.463291.5020593.269703e-08
0.4653031.5019323.245420e-08
0.4673241.5018063.221032e-08
0.4693541.5016813.196538e-08
0.4713931.5015573.171938e-08
0.4734411.5014353.147231e-08
0.4754981.5013133.122416e-08
0.4775641.5011933.097494e-08
0.4796381.5010743.072463e-08
0.481.5010533.068100e-08
0.4817221.5009553.044586e-08
0.4838151.5008383.016010e-08
0.4859171.5007222.987310e-08
0.4880271.5006072.958485e-08
0.4901481.5004932.929535e-08
0.4922771.5003792.900459e-08
0.4944151.5002672.871257e-08
0.4965631.5001562.841928e-08
0.4987211.5000462.812471e-08
0.51.4999812.795000e-08
0.5008871.4999362.799959e-08
0.5030631.4998282.812122e-08
0.5052481.499722.824339e-08
0.5074431.4996142.836609e-08
0.5096481.4995082.848931e-08
0.5118621.4994042.861308e-08
0.5140861.49932.873738e-08
0.5163191.4991972.886222e-08
0.5185621.4990952.898761e-08
0.5208151.4989932.911354e-08
0.5230771.4988932.924001e-08
0.5253491.4987942.936704e-08
0.5276321.4986952.949461e-08
0.5299241.4985972.962275e-08
0.5322261.49852.975143e-08
0.5345381.4984042.988068e-08
0.536861.4983083.001049e-08
0.5391931.4982143.014086e-08
0.5415351.498123.027180e-08
0.5438871.4980273.040331e-08
0.546251.4979353.053539e-08
0.5486231.4978433.066804e-08
0.551.497793.074500e-08
0.5510071.4977523.080127e-08
0.55341.4976623.093508e-08
0.5558041.4975733.106947e-08
0.5582191.4974843.120444e-08
0.5606441.4973963.134000e-08
0.563081.4973093.147615e-08
0.5655261.4972233.161289e-08
0.5679821.4971373.175022e-08
0.570451.4970523.188815e-08
0.5729281.4969683.202668e-08
0.5754171.4968843.216581e-08
0.5779171.4968013.230555e-08
0.5804271.4967193.244589e-08
0.5829491.4966373.258684e-08
0.5854811.4965563.272841e-08
0.5880251.4964753.287059e-08
0.5905791.4963963.301339e-08
0.5931451.4963163.315680e-08
0.5957221.4962383.330085e-08
0.598311.496163.344551e-08
0.61.496113.354000e-08
0.6009091.4960833.378038e-08
0.6035191.4960063.447081e-08
0.6061411.495933.516423e-08
0.6087741.4958543.586066e-08
0.6114191.4957793.656012e-08
0.6140751.4957053.726262e-08
0.6167431.4956313.796817e-08
0.6194221.4955583.867678e-08
0.6221131.4954853.938848e-08
0.6248161.4954134.010326e-08
0.627531.4953414.082115e-08
0.6302561.495274.154216e-08
0.6329941.4951994.226630e-08
0.6357441.4951294.299359e-08
0.6385061.495064.372403e-08
0.641281.4949914.445765e-08
0.6440661.4949224.519446e-08
0.6468641.4948544.593447e-08
0.6496741.4947874.667769e-08
0.651.4947794.676400e-08
0.6524961.494724.666311e-08
0.6553311.4946534.654854e-08
0.6581781.4945874.643347e-08
0.6610371.4945214.631789e-08
0.6639081.4944564.620182e-08
0.6667931.4943914.608524e-08
0.6696891.4943274.596816e-08
0.6725991.4942634.585056e-08
0.6755211.49424.573246e-08
0.6784551.4941374.561384e-08
0.6814031.4940754.549471e-08
0.6843631.4940124.537506e-08
0.6873361.4939514.525489e-08
0.6903221.493894.513420e-08
0.6933211.4938294.501298e-08
0.6963331.4937684.489124e-08
0.6993581.4937084.476897e-08
0.71.4936964.474300e-08
0.7023961.4936494.566681e-08
0.7054471.493594.684342e-08
0.7085121.4935314.802514e-08
0.711591.4934724.921200e-08
0.7146811.4934145.040401e-08
0.7177861.4933575.160119e-08
0.7209041.4932995.280358e-08
0.7240361.4932425.401120e-08
0.7271811.4931865.522405e-08
0.730341.4931295.644218e-08
0.7335131.4930745.766560e-08
0.73671.4930185.889434e-08
0.73991.4929636.012841e-08
0.7431141.4929086.136784e-08
0.7463421.4928536.261266e-08
0.7495851.4927996.386289e-08
0.7528411.4927456.511854e-08
0.7561121.4926926.637965e-08
0.7593961.4926386.764624e-08
0.7626951.4925856.891834e-08
0.7660091.4925337.019596e-08
0.7693361.492487.147913e-08
0.7726791.4924287.276787e-08
0.7760351.4923777.406221e-08
0.7794071.4923257.536218e-08
0.7827931.4922747.666779e-08
0.7861931.4922237.797907e-08
0.7896091.4921727.929605e-08
0.7930391.4921228.061876e-08
0.7964841.4920728.194721e-08
0.7999441.4920228.328142e-08
0.81.4920218.330300e-08
0.8034191.4919728.291584e-08
0.8069091.4919238.252064e-08
0.8104151.4918748.212373e-08
0.8139351.4918258.172509e-08
0.8174711.4917778.132471e-08
0.8210231.4917288.092260e-08
0.8245891.491688.051874e-08
0.8281721.4916328.011313e-08
0.8317691.4915857.970575e-08
0.8353831.4915377.929661e-08
0.8390121.491497.888569e-08
0.8426571.4914437.847298e-08
0.8463171.4913967.805848e-08
0.8499941.4913497.764218e-08
0.8536871.4913037.722407e-08
0.8573951.4912577.680414e-08
0.861121.4912117.638239e-08
0.8648611.4911657.595881e-08
0.8686181.491127.553338e-08
0.8723911.4910747.510611e-08
0.8761811.4910297.467698e-08
0.8799881.4909847.424599e-08
0.8838111.4909397.381313e-08
0.887651.4908947.337838e-08
0.8915061.490857.294175e-08
0.8953791.4908057.250322e-08
0.8992691.4907617.206279e-08
0.91.4907537.198000e-08
0.9031751.4907177.274501e-08
0.9070991.4906737.369025e-08
0.911041.490637.463959e-08
0.9149981.4905867.559305e-08
0.9189721.4905437.655066e-08
0.9229651.4904997.751243e-08
0.9269741.4904567.847838e-08
0.9310011.4904137.944852e-08
0.9350461.490378.042288e-08
0.9391081.4903278.140147e-08
0.9431881.4902858.238431e-08
0.9472851.4902428.337142e-08
0.95141.49028.436282e-08
0.9555331.4901578.535853e-08
0.9596841.4901158.635856e-08
0.9638531.4900738.736294e-08
0.9680411.4900318.837167e-08
0.9722461.4899898.938480e-08
0.976471.4899479.040232e-08
0.9807121.4899069.142426e-08
0.9849721.4898649.245065e-08
0.9892511.4898239.348149e-08
0.9935491.4897819.451681e-08
0.9978651.489749.555662e-08
11.489729.607100e-08
1.00221.4896999.554079e-08
1.006551.4896579.449141e-08
1.010931.4896169.343748e-08
1.015321.4895759.237897e-08
1.019731.4895349.131587e-08
1.024161.4894939.024814e-08
1.028611.4894528.917577e-08
1.033081.4894128.809875e-08
1.037561.4893718.701705e-08
1.042071.489338.593065e-08
1.04661.4892898.483953e-08
1.051151.4892498.374367e-08
1.055711.4892088.264304e-08
1.06031.4891688.153764e-08
1.06491.4891278.042744e-08
1.069531.4890867.931241e-08
1.074181.4890467.819253e-08
1.078841.4890067.706780e-08
1.083531.4889657.593817e-08
1.088241.4889257.480364e-08
1.092961.4888847.366418e-08
1.097711.4888447.251977e-08
1.102481.4888037.137039e-08
1.107271.4887637.021602e-08
1.112081.4887236.905663e-08
1.116911.4886826.789220e-08
1.121761.4886426.672272e-08
1.126641.4886016.554816e-08
1.131531.4885616.436849e-08
1.136451.4885216.318370e-08
1.141381.488486.199376e-08
1.146341.488446.079865e-08
1.151321.4883995.959835e-08
1.156321.4883595.839283e-08
1.161351.4883185.718208e-08
1.166391.4882775.596607e-08
1.171461.4882375.474478e-08
1.176551.4881965.351818e-08
1.181661.4881555.228625e-08
1.186791.4881155.104897e-08
1.191951.4880744.980631e-08
1.197131.4880334.855826e-08
1.21.488014.786600e-08
1.202331.4879924.795888e-08
1.207551.4879514.816724e-08
1.21281.487914.837649e-08
1.218071.4878694.858666e-08
1.223361.4878284.879774e-08
1.228671.4877864.900974e-08
1.234011.4877454.922266e-08
1.239371.4877044.943650e-08
1.244751.4876624.965127e-08
1.250161.487624.986698e-08
1.255591.4875795.008362e-08
1.261051.4875375.030121e-08
1.266531.4874955.051973e-08
1.272031.4874535.073921e-08
1.277551.4874115.095964e-08
1.28311.4873695.118103e-08
1.288681.4873275.140338e-08
1.294281.4872845.162670e-08
1.29991.4872425.185099e-08
1.305551.4871995.207625e-08
1.311221.4871565.230249e-08
1.316911.4871135.252971e-08
1.322641.487075.275792e-08
1.328381.4870275.298712e-08
1.334151.4869845.321732e-08
1.339951.486945.344852e-08
1.345771.4868975.368072e-08
1.351621.4868535.391393e-08
1.357491.4868095.414815e-08
1.363381.4867655.438340e-08
1.369311.4867215.461966e-08
1.375261.4866775.485695e-08
1.381231.4866325.509527e-08
1.387231.4865885.533462e-08
1.393261.4865435.557502e-08
1.399311.4864985.581646e-08
1.41.4864935.584400e-08
1.405391.4864535.709483e-08
1.411491.4864075.851206e-08
1.417631.4863625.993545e-08
1.423781.4863166.136502e-08
1.429971.486276.280080e-08
1.436181.4862246.424282e-08
1.442421.4861786.569111e-08
1.448691.4861316.714568e-08
1.454981.4860846.860658e-08
1.46131.4860377.007382e-08
1.467651.485997.154743e-08
1.474031.4859437.302745e-08
1.480431.4858957.451390e-08
1.486861.4858477.600680e-08
1.493321.4857997.750619e-08
1.499811.4857517.901210e-08
1.506321.4857028.052454e-08
1.512871.4856548.204356e-08
1.519441.4856058.356917e-08
1.526041.4855558.510142e-08
1.532671.4855068.664031e-08
1.539331.4854568.818590e-08
1.546011.4854068.973820e-08
1.552731.4853569.129724e-08
1.559481.4853059.286305e-08
1.566251.4852549.443567e-08
1.573051.4852039.601512e-08
1.579891.4851529.760143e-08
1.586751.48519.919463e-08
1.593641.4850481.007948e-07
1.61.4851.022700e-07
1.600571.4849961.025531e-07
1.607521.4849431.060185e-07
1.61451.484891.094991e-07
1.621521.4848371.129948e-07
1.628561.4847831.165056e-07
1.635641.484731.200317e-07
1.642741.4846751.235732e-07
1.649881.4846211.271300e-07
1.657051.4845661.307022e-07
1.664251.4845111.342900e-07
1.671481.4844561.378934e-07
1.678741.48441.415124e-07
1.686031.4843441.451472e-07
1.693351.4842871.487977e-07
1.700711.484231.524641e-07
1.70811.4841731.561464e-07
1.715521.4841151.598447e-07
1.722971.4840581.635591e-07
1.730461.4839991.672896e-07
1.737971.483941.710363e-07
1.745521.4838811.747994e-07
1.753111.4838221.785787e-07
1.760721.4837621.823745e-07
1.768371.4837021.861867e-07
1.776051.4836411.900155e-07
1.783771.483581.938610e-07
1.791521.4835181.977232e-07
1.79931.4834572.016021e-07
1.81.4834512.019500e-07
1.807121.4833942.016008e-07
1.814971.4833312.012158e-07
1.822851.4832682.008290e-07
1.830771.4832052.004406e-07
1.838731.483142.000505e-07
1.846711.4830761.996587e-07
1.854741.4830111.992652e-07
1.862791.4829451.988700e-07
1.870891.482881.984730e-07
1.879011.4828131.980744e-07
1.887181.4827461.976740e-07
1.895371.4826791.972719e-07
1.903611.4826111.968680e-07
1.911881.4825431.964624e-07
1.920181.4824741.960550e-07
1.928531.4824051.956458e-07
1.93691.4823351.952349e-07
1.945321.4822641.948221e-07
1.953771.4821931.944076e-07
1.962261.4821221.939913e-07
1.970781.482051.935732e-07
1.979341.4819781.931532e-07
1.987941.4819051.927315e-07
1.996581.4818311.923079e-07
21.4818021.921400e-07
2.005251.4817571.940426e-07
2.013961.4816821.971987e-07
2.022711.4816072.003685e-07
2.03151.4815312.035521e-07
2.040321.4814542.067495e-07
2.049191.4813772.099608e-07
2.058091.48132.131860e-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
—