Optical constants

Refractive index of Q-LAK52S (HIKARI)

Q-LAK52S: 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
1.67798
Extinction coefficient k
1.40486e-08
Permittivity ε1
2.81561
Permittivity ε2
4.71466e-08
Absorption coefficient α
0.00300443 cm⁻¹
Penetration depth δ = λ/(2πk)
6.65683e+09 nm
Abbe number Vd
54.893
Chromatic dispersion dn/dλ
-0.0637618 µm⁻¹
Group index ng
1.71544
Group velocity dispersion
111.775 fs²/mm
Dispersion parameter D
-609.79 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-LAK52S (HIKARI): Q-LAK52S
hikari_q_lak52s = ls.fetch_refractiveindex("specs", "HIKARI-optical", "Q-LAK52S", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_q_lak52s.range_nm)  # (365.015, 2058.09) nm
eps = hikari_q_lak52s.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=2.76405609−0.0126400636⁢λ2.0−0.000160322951⁢λ4.0+0.0184903089⁢λ−2.0+0.000267778201⁢λ−4.0+5.29803264×10-6⁢λ−6.0+1.21335917×10-7⁢λ−8.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C12.76405609
C2-0.0126400636
C32.0
C4-0.000160322951
C54.0
C60.0184903089
C7-2.0
C80.000267778201
C9-4.0
C105.29803264e-06
C11-6.0
C121.21335917e-07
C13-8.0

Comments and conditions

For mold lens

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: 4.069e-06 1.2323e-08 -1.158e-12 5.3706e-07 5.061e-10 0.17754
nd
1.677980
Vd
54.893431
density
value: 3550
thermal expansion
value: 5.9e-06, temperature range: 243 343
dPgF
-0.0074
resistance
phosphate: 4.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = 2.98e-06 K⁻¹ at 633 nm, dn/dT = 2.32e-06 K⁻¹ at 1310 nm, dn/dT = 2.26e-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-LAK52S (HIKARI), Q-LAK52S: n and k versus wavelength
λ (µm)nk
0.3650151.7084662.012695e-07
0.3666011.7080151.843024e-07
0.3681931.7075681.672616e-07
0.3697931.7071261.501467e-07
0.371.7070691.479300e-07
0.3713991.7066891.396827e-07
0.3730131.7062561.301732e-07
0.3746331.7058271.206224e-07
0.3762611.7054031.110301e-07
0.3778951.7049841.013962e-07
0.3795371.7045689.172036e-08
0.381.7044528.899100e-08
0.3811861.7041578.549824e-08
0.3828421.7037518.062028e-08
0.3845051.7033487.572112e-08
0.3861751.702957.080069e-08
0.3878531.7025556.585888e-08
0.3895381.7021656.089560e-08
0.391.7020595.953400e-08
0.391231.7017785.733449e-08
0.392931.7013965.429528e-08
0.3946371.7010175.124286e-08
0.3963511.7006434.817718e-08
0.3980731.7002724.509819e-08
0.3998021.6999044.200581e-08
0.41.6998634.165200e-08
0.4015391.6995414.051270e-08
0.4032831.6991813.922133e-08
0.4050351.6988243.792436e-08
0.4067951.6984723.662175e-08
0.4085621.6981223.531348e-08
0.4103371.6977763.399953e-08
0.412121.6974343.267987e-08
0.413911.6970953.135448e-08
0.4157081.6967593.002333e-08
0.4175141.6964272.868640e-08
0.4193281.6960982.734366e-08
0.421.6959772.684600e-08
0.4211491.6957722.671669e-08
0.4229791.6954492.651086e-08
0.4248171.695132.630414e-08
0.4266621.6948132.609652e-08
0.4285161.69452.588800e-08
0.4303771.6941892.567858e-08
0.4322471.6938822.546824e-08
0.4341251.6935782.525699e-08
0.436011.6932762.504482e-08
0.4379051.6929782.483173e-08
0.4398071.6926822.461772e-08
0.441.6926522.459600e-08
0.4417181.6923892.405951e-08
0.4436371.6920992.346013e-08
0.4455641.6918122.285815e-08
0.4474991.6915272.225356e-08
0.4494431.6912452.164634e-08
0.4513961.6909662.103648e-08
0.4533571.690692.042397e-08
0.4553261.6904161.980880e-08
0.4573041.6901441.919096e-08
0.4592911.6898751.857043e-08
0.461.689781.834900e-08
0.4612861.6896091.790695e-08
0.463291.6893451.721829e-08
0.4653031.6890841.652665e-08
0.4673241.6888251.583200e-08
0.4693541.6885691.513433e-08
0.4713931.6883141.443364e-08
0.4734411.6880631.372989e-08
0.4754981.6878131.302310e-08
0.4775641.6875661.231323e-08
0.4796381.6873211.160027e-08
0.481.6872791.147600e-08
0.4817221.6870781.117376e-08
0.4838151.6868381.080645e-08
0.4859171.68661.043756e-08
0.4880271.6863631.006706e-08
0.4901481.6861299.694945e-09
0.4922771.6858989.321219e-09
0.4944151.6856688.945868e-09
0.4965631.685448.568887e-09
0.4987211.6852158.190268e-09
0.51.6850827.965700e-09
0.5008871.6849918.057677e-09
0.5030631.6847698.283295e-09
0.5052481.684558.509893e-09
0.5074431.6843328.737475e-09
0.5096481.6841168.966046e-09
0.5118621.6839029.195610e-09
0.5140861.6836919.426171e-09
0.5163191.683489.657734e-09
0.5185621.6832729.890302e-09
0.5208151.6830661.012388e-08
0.5230771.6828611.035848e-08
0.5253491.6826581.059409e-08
0.5276321.6824571.083072e-08
0.5299241.6822581.106839e-08
0.5322261.6820611.130709e-08
0.5345381.6818651.154682e-08
0.536861.6816711.178760e-08
0.5391931.6814781.202942e-08
0.5415351.6812871.227229e-08
0.5438871.6810981.251622e-08
0.546251.680911.276120e-08
0.5486231.6807241.300725e-08
0.551.6806171.315000e-08
0.5510071.680541.317406e-08
0.55341.6803571.323127e-08
0.5558041.6801761.328873e-08
0.5582191.6799961.334643e-08
0.5606441.6798171.340439e-08
0.563081.6796411.346260e-08
0.5655261.6794651.352106e-08
0.5679821.6792911.357978e-08
0.570451.6791191.363875e-08
0.5729281.6789481.369798e-08
0.5754171.6787781.375747e-08
0.5779171.678611.381721e-08
0.5804271.6784431.387721e-08
0.5829491.6782781.393748e-08
0.5854811.6781131.399800e-08
0.5880251.6779511.405879e-08
0.5905791.6777891.411985e-08
0.5931451.6776291.418117e-08
0.5957221.677471.424275e-08
0.598311.6773121.430460e-08
0.61.677211.434500e-08
0.6009091.6771561.446110e-08
0.6035191.6771.479457e-08
0.6061411.6768461.512948e-08
0.6087741.6766941.546585e-08
0.6114191.6765421.580367e-08
0.6140751.6763921.614297e-08
0.6167431.6762431.648374e-08
0.6194221.6760941.682599e-08
0.6221131.6759481.716973e-08
0.6248161.6758021.751496e-08
0.627531.6756571.786169e-08
0.6302561.6755131.820993e-08
0.6329941.6753711.855968e-08
0.6357441.675231.891095e-08
0.6385061.6750891.926374e-08
0.641281.674951.961807e-08
0.6440661.6748121.997394e-08
0.6468641.6746742.033135e-08
0.6496741.6745382.069031e-08
0.651.6745222.073200e-08
0.6524961.6744032.137053e-08
0.6553311.6742692.209567e-08
0.6581781.6741352.282397e-08
0.6610371.6740032.355543e-08
0.6639081.6738722.429007e-08
0.6667931.6737412.502790e-08
0.6696891.6736122.576893e-08
0.6725991.6734832.651318e-08
0.6755211.6733562.726067e-08
0.6784551.6732292.801141e-08
0.6814031.6731032.876540e-08
0.6843631.6729782.952267e-08
0.6873361.6728543.028323e-08
0.6903221.6727313.104710e-08
0.6933211.6726083.181428e-08
0.6963331.6724863.258480e-08
0.6993581.6723663.335866e-08
0.71.672343.352300e-08
0.7023961.6722463.456116e-08
0.7054471.6721263.588341e-08
0.7085121.6720083.721141e-08
0.711591.671893.854517e-08
0.7146811.6717743.988473e-08
0.7177861.6716584.123011e-08
0.7209041.6715424.258133e-08
0.7240361.6714284.393842e-08
0.7271811.6713144.530141e-08
0.730341.67124.667032e-08
0.7335131.6710884.804518e-08
0.73671.6709764.942600e-08
0.73991.6708655.081283e-08
0.7431141.6707555.220568e-08
0.7463421.6706455.360459e-08
0.7495851.6705365.500957e-08
0.7528411.6704285.642065e-08
0.7561121.670325.783786e-08
0.7593961.6702135.926123e-08
0.7626951.6701066.069079e-08
0.7660091.676.212655e-08
0.7693361.6698956.356855e-08
0.7726791.669796.501682e-08
0.7760351.6696866.647138e-08
0.7794071.6695836.793225e-08
0.7827931.669486.939948e-08
0.7861931.6693777.087307e-08
0.7896091.6692767.235307e-08
0.7930391.6691747.383950e-08
0.7964841.6690747.533238e-08
0.7999441.6689737.683175e-08
0.81.6689727.685600e-08
0.8034191.6688747.447315e-08
0.8069091.6687747.204079e-08
0.8104151.6686766.959786e-08
0.8139351.6685786.714432e-08
0.8174711.668486.468012e-08
0.8210231.6683836.220521e-08
0.8245891.6682865.971955e-08
0.8281721.668195.722310e-08
0.8317691.6680945.471579e-08
0.8353831.6679985.219760e-08
0.8390121.6679034.966847e-08
0.8426571.6678094.712835e-08
0.8463171.6677154.457719e-08
0.8499941.6676214.201496e-08
0.8536871.6675283.944159e-08
0.8573951.6674353.685704e-08
0.861121.6673423.426126e-08
0.8648611.667253.165421e-08
0.8686181.6671592.903583e-08
0.8723911.6670672.640608e-08
0.8761811.6669762.376490e-08
0.8799881.6668862.111225e-08
0.8838111.6667951.844807e-08
0.887651.6667051.577232e-08
0.8915061.6666161.308495e-08
0.8953791.6665261.038590e-08
0.8992691.6664377.675131e-09
0.91.6664217.165600e-09
0.9031751.6663497.950882e-09
0.9070991.666268.921166e-09
0.911041.6661729.895665e-09
0.9149981.6660851.087440e-08
0.9189721.6659971.185738e-08
0.9229651.665911.284464e-08
0.9269741.6658231.383618e-08
0.9310011.6657361.483203e-08
0.9350461.665651.583221e-08
0.9391081.6655641.683673e-08
0.9431881.6654781.784562e-08
0.9472851.6653921.885889e-08
0.95141.6653061.987656e-08
0.9555331.6652212.089865e-08
0.9596841.6651362.192518e-08
0.9638531.6650512.295618e-08
0.9680411.6649662.399165e-08
0.9722461.6648822.503162e-08
0.976471.6647982.607610e-08
0.9807121.6647132.712513e-08
0.9849721.664632.817871e-08
0.9892511.6645462.923687e-08
0.9935491.6644623.029962e-08
0.9978651.6643793.136699e-08
11.6643373.189500e-08
1.00221.6642953.164927e-08
1.006551.6642123.116293e-08
1.010931.6641293.067448e-08
1.015321.6640463.018391e-08
1.019731.6639632.969120e-08
1.024161.663882.919636e-08
1.028611.6637982.869937e-08
1.033081.6637152.820021e-08
1.037561.6636332.769889e-08
1.042071.663552.719539e-08
1.04661.6634682.668971e-08
1.051151.6633862.618182e-08
1.055711.6633042.567173e-08
1.06031.6632222.515943e-08
1.06491.6631392.464489e-08
1.069531.6630572.412813e-08
1.074181.6629752.360912e-08
1.078841.6628932.308785e-08
1.083531.6628122.256432e-08
1.088241.662732.203851e-08
1.092961.6626482.151042e-08
1.097711.6625662.098004e-08
1.102481.6624842.044735e-08
1.107271.6624021.991235e-08
1.112081.662321.937503e-08
1.116911.6622381.883537e-08
1.121761.6621561.829336e-08
1.126641.6620741.774900e-08
1.131531.6619921.720228e-08
1.136451.661911.665318e-08
1.141381.6618271.610169e-08
1.146341.6617451.554781e-08
1.151321.6616631.499153e-08
1.156321.661581.443282e-08
1.161351.6614981.387169e-08
1.166391.6614151.330813e-08
1.171461.6613331.274211e-08
1.176551.661251.217364e-08
1.181661.6611671.160269e-08
1.186791.6610841.102927e-08
1.191951.6610011.045335e-08
1.197131.6609179.874931e-09
1.21.6608719.554100e-09
1.202331.6608341.048468e-08
1.207551.660751.257215e-08
1.21281.6606671.466870e-08
1.218071.6605831.677435e-08
1.223361.6604991.888914e-08
1.228671.6604142.101313e-08
1.234011.660332.314634e-08
1.239371.6602452.528882e-08
1.244751.6601612.744061e-08
1.250161.6600762.960174e-08
1.255591.659993.177226e-08
1.261051.6599053.395222e-08
1.266531.6598193.614164e-08
1.272031.6597333.834057e-08
1.277551.6596474.054906e-08
1.28311.6595614.276714e-08
1.288681.6594744.499485e-08
1.294281.6593874.723225e-08
1.29991.65934.947936e-08
1.305551.6592135.173624e-08
1.311221.6591255.400292e-08
1.316911.6590375.627945e-08
1.322641.6589495.856586e-08
1.328381.658866.086221e-08
1.334151.6587716.316854e-08
1.339951.6586826.548488e-08
1.345771.6585936.781129e-08
1.351621.6585037.014781e-08
1.357491.6584137.249447e-08
1.363381.6583227.485133e-08
1.369311.6582317.721843e-08
1.375261.658147.959581e-08
1.381231.6580488.198352e-08
1.387231.6579568.438160e-08
1.393261.6578648.679010e-08
1.399311.6577718.920906e-08
1.41.6577618.948500e-08
1.405391.6576789.052161e-08
1.411491.6575849.169612e-08
1.417631.657499.287574e-08
1.423781.6573969.406048e-08
1.429971.6573019.525037e-08
1.436181.6572069.644543e-08
1.442421.657119.764567e-08
1.448691.6570149.885114e-08
1.454981.6569171.000618e-07
1.46131.656821.012778e-07
1.467651.6567221.024990e-07
1.474031.6566241.037256e-07
1.480431.6565251.049575e-07
1.486861.6564261.061947e-07
1.493321.6563261.074373e-07
1.499811.6562261.086853e-07
1.506321.6561261.099387e-07
1.512871.6560241.111976e-07
1.519441.6559221.124619e-07
1.526041.655821.137317e-07
1.532671.6557171.150071e-07
1.539331.6556141.162880e-07
1.546011.655511.175744e-07
1.552731.6554051.188665e-07
1.559481.6552991.201641e-07
1.566251.6551941.214674e-07
1.573051.6550871.227763e-07
1.579891.654981.240910e-07
1.586751.6548721.254113e-07
1.593641.6547641.267374e-07
1.61.6546631.279600e-07
1.600571.6546541.284599e-07
1.607521.6545451.345805e-07
1.61451.6544341.407277e-07
1.621521.6543231.469016e-07
1.628561.6542111.531023e-07
1.635641.6540981.593299e-07
1.642741.6539851.655846e-07
1.649881.6538711.718665e-07
1.657051.6537561.781756e-07
1.664251.6536411.845122e-07
1.671481.6535251.908763e-07
1.678741.6534071.972680e-07
1.686031.653292.036876e-07
1.693351.6531712.101350e-07
1.700711.6530522.166104e-07
1.70811.6529312.231139e-07
1.715521.652812.296457e-07
1.722971.6526882.362059e-07
1.730461.6525662.427945e-07
1.737971.6524422.494118e-07
1.745521.6523172.560578e-07
1.753111.6521922.627327e-07
1.760721.6520662.694366e-07
1.768371.6519392.761697e-07
1.776051.6518112.829320e-07
1.783771.6516822.897236e-07
1.791521.6515522.965448e-07
1.79931.6514213.033956e-07
1.81.6514093.040100e-07
1.807121.6512893.180873e-07
1.814971.6511563.336121e-07
1.822851.6510223.492044e-07
1.830771.6508883.648645e-07
1.838731.6507523.805925e-07
1.846711.6506153.963889e-07
1.854741.6504774.122539e-07
1.862791.6503384.281878e-07
1.870891.6501984.441910e-07
1.879011.6500574.602637e-07
1.887181.6499154.764062e-07
1.895371.6497724.926188e-07
1.903611.6496275.089018e-07
1.911881.6494825.252556e-07
1.920181.6493355.416804e-07
1.928531.6491875.581766e-07
1.93691.6490385.747445e-07
1.945321.6488885.913843e-07
1.953771.6487376.080964e-07
1.962261.6485846.248811e-07
1.970781.648436.417388e-07
1.979341.6482756.586696e-07
1.987941.6481196.756741e-07
1.996581.6479616.927523e-07
21.6478996.995200e-07
2.005251.6478027.399155e-07
2.013961.6476428.069262e-07
2.022711.6474818.742280e-07
2.03151.6473189.418221e-07
2.040321.6471541.009710e-06
2.049191.6469881.077893e-06
2.058091.6468211.146372e-06

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
—