Optical constants

Refractive index of J-LLF2 (HIKARI)

J-LLF2: 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
1.54072
Extinction coefficient k
2.23480e-08
Permittivity ε1
2.37381
Permittivity ε2
6.88640e-08
Absorption coefficient α
0.00477933 cm⁻¹
Penetration depth δ = λ/(2πk)
4.18468e+09 nm
Abbe number Vd
46.966
Chromatic dispersion dn/dλ
-0.0588889 µm⁻¹
Group index ng
1.57532
Group velocity dispersion
108.807 fs²/mm
Dispersion parameter D
-593.602 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

# J-LLF2 (HIKARI): J-LLF2
hikari_j_llf2 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "J-LLF2", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_j_llf2.range_nm)  # (365.015, 2058.09) nm
eps = hikari_j_llf2.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=2.32991556−0.00866190637⁢λ2.0−5.64810656×10-5⁢λ4.0+0.01502038⁢λ−2.0+0.000420176461⁢λ−4.0−1.21206332×10-5⁢λ−6.0+2.27699343×10-6⁢λ−8.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C12.32991556
C2-0.00866190637
C32.0
C4-5.64810656e-05
C54.0
C60.01502038
C7-2.0
C80.000420176461
C9-4.0
C10-1.21206332e-05
C11-6.0
C122.27699343e-06
C13-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: -2.658e-06 8.2902e-09 -1.5376e-12 6.5839e-07 6.188e-10 0.23166
nd
1.540720
Vd
46.966429
density
value: 2530
thermal expansion
value: 8.8e-06, temperature range: 243 343
dPgF
-0.0001
resistance
phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = -3.38e-07 K⁻¹ at 633 nm, dn/dT = -9.82e-07 K⁻¹ at 1310 nm, dn/dT = -1.03e-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
J-LLF2 (HIKARI), J-LLF2: n and k versus wavelength
λ (µm)nk
0.3650151.5707538.347291e-07
0.3666011.5702747.437188e-07
0.3681931.5698026.523132e-07
0.3697931.5693355.605104e-07
0.371.5692755.486200e-07
0.3713991.5688755.094398e-07
0.3730131.568424.642633e-07
0.3746331.5679714.188906e-07
0.3762611.5675293.733207e-07
0.3778951.5670913.275529e-07
0.3795371.566662.815863e-07
0.381.5665392.686200e-07
0.3811861.5662342.533278e-07
0.3828421.5658132.319709e-07
0.3845051.5653972.105212e-07
0.3861751.5649871.889783e-07
0.3878531.5645811.673419e-07
0.3895381.5641811.456114e-07
0.391.5640721.396500e-07
0.391231.5637861.319841e-07
0.392931.5633951.213915e-07
0.3946371.5630091.107530e-07
0.3963511.5626281.000682e-07
0.3980731.5622518.933697e-08
0.3998021.5618797.855914e-08
0.41.5618377.732600e-08
0.4015391.5615117.448074e-08
0.4032831.5611487.125574e-08
0.4050351.5607896.801672e-08
0.4067951.5604346.476363e-08
0.4085621.5600836.149641e-08
0.4103371.5597365.821499e-08
0.412121.5593945.491932e-08
0.413911.5590555.160933e-08
0.4157081.558724.828497e-08
0.4175141.5583894.494616e-08
0.4193281.5580624.159284e-08
0.421.5579424.035000e-08
0.4211491.5577384.005345e-08
0.4229791.5574183.958142e-08
0.4248171.5571023.910734e-08
0.4266621.5567893.863120e-08
0.4285161.556483.815299e-08
0.4303771.5561743.767271e-08
0.4322471.5558713.719034e-08
0.4341251.5555723.670587e-08
0.436011.5552763.621930e-08
0.4379051.5549833.573061e-08
0.4398071.5546943.523980e-08
0.441.5546653.519000e-08
0.4417181.5544073.469293e-08
0.4436371.5541243.413759e-08
0.4455641.5538443.357984e-08
0.4474991.5535673.301967e-08
0.4494431.5532923.245706e-08
0.4513961.5530213.189201e-08
0.4533571.5527523.132451e-08
0.4553261.5524873.075454e-08
0.4573041.5522243.018209e-08
0.4592911.5519642.960716e-08
0.461.5518722.940200e-08
0.4612861.5517062.923670e-08
0.463291.5514512.897920e-08
0.4653031.5511992.872057e-08
0.4673241.550952.846083e-08
0.4693541.5507032.819995e-08
0.4713931.5504582.793794e-08
0.4734411.5502172.767479e-08
0.4754981.5499772.741050e-08
0.4775641.549742.714506e-08
0.4796381.5495062.687847e-08
0.481.5494652.683200e-08
0.4817221.5492732.692826e-08
0.4838151.5490432.704524e-08
0.4859171.5488162.716274e-08
0.4880271.5485912.728074e-08
0.4901481.5483672.739925e-08
0.4922771.5481472.751828e-08
0.4944151.5479282.763782e-08
0.4965631.5477112.775789e-08
0.4987211.5474972.787848e-08
0.51.5473712.795000e-08
0.5008871.5472852.776535e-08
0.5030631.5470752.731240e-08
0.5052481.5468662.685748e-08
0.5074431.546662.640058e-08
0.5096481.5464562.594171e-08
0.5118621.5462542.548083e-08
0.5140861.5460542.501796e-08
0.5163191.5458562.455307e-08
0.5185621.5456592.408617e-08
0.5208151.5454652.361724e-08
0.5230771.5452722.314626e-08
0.5253491.5450812.267325e-08
0.5276321.5448922.219818e-08
0.5299241.5447052.172104e-08
0.5322261.5445192.124183e-08
0.5345381.5443362.076054e-08
0.536861.5441542.027716e-08
0.5391931.5439731.979168e-08
0.5415351.5437951.930409e-08
0.5438871.5436181.881439e-08
0.546251.5434421.832255e-08
0.5486231.5432691.782858e-08
0.551.5431691.754200e-08
0.5510071.5430961.767067e-08
0.55341.5429261.797663e-08
0.5558041.5427571.828392e-08
0.5582191.5425891.859255e-08
0.5606441.5424231.890252e-08
0.563081.5422591.921383e-08
0.5655261.5420961.952650e-08
0.5679821.5419341.984052e-08
0.570451.5417742.015591e-08
0.5729281.5416162.047267e-08
0.5754171.5414582.079081e-08
0.5779171.5413032.111032e-08
0.5804271.5411482.143123e-08
0.5829491.5409952.175353e-08
0.5854811.5408432.207723e-08
0.5880251.5406932.240234e-08
0.5905791.5405442.272885e-08
0.5931451.5403962.305679e-08
0.5957221.5402492.338615e-08
0.598311.5401042.371695e-08
0.61.540012.393300e-08
0.6009091.539962.406381e-08
0.6035191.5398172.443951e-08
0.6061411.5396762.481684e-08
0.6087741.5395352.519582e-08
0.6114191.5393962.557644e-08
0.6140751.5392582.595871e-08
0.6167431.5391212.634264e-08
0.6194221.5389852.672824e-08
0.6221131.5388512.711552e-08
0.6248161.5387172.750448e-08
0.627531.5385852.789513e-08
0.6302561.5384542.828747e-08
0.6329941.5383242.868152e-08
0.6357441.5381952.907728e-08
0.6385061.5380672.947477e-08
0.641281.537942.987397e-08
0.6440661.5378143.027492e-08
0.6468641.5376893.067760e-08
0.6496741.5375653.108203e-08
0.651.5375513.112900e-08
0.6524961.5374423.096891e-08
0.6553311.537323.078710e-08
0.6581781.5371993.060449e-08
0.6610371.5370793.042110e-08
0.6639081.536963.023691e-08
0.6667931.5368423.005192e-08
0.6696891.5367242.986612e-08
0.6725991.5366082.967952e-08
0.6755211.5364932.949211e-08
0.6784551.5363782.930388e-08
0.6814031.5362642.911484e-08
0.6843631.5361522.892497e-08
0.6873361.536042.873428e-08
0.6903221.5359292.854277e-08
0.6933211.5358182.835041e-08
0.6963331.5357092.815723e-08
0.6993581.53562.796320e-08
0.71.5355772.792200e-08
0.7023961.5354922.863194e-08
0.7054471.5353852.953615e-08
0.7085121.5352793.044430e-08
0.711591.5351743.135638e-08
0.7146811.5350693.227243e-08
0.7177861.5349653.319246e-08
0.7209041.5348623.411648e-08
0.7240361.5347593.504452e-08
0.7271811.5346583.597659e-08
0.730341.5345573.691271e-08
0.7335131.5344563.785290e-08
0.73671.5343573.879717e-08
0.73991.5342583.974554e-08
0.7431141.534164.069804e-08
0.7463421.5340624.165467e-08
0.7495851.5339654.261545e-08
0.7528411.5338694.358041e-08
0.7561121.5337734.454957e-08
0.7593961.5336784.552293e-08
0.7626951.5335844.650052e-08
0.7660091.533494.748236e-08
0.7693361.5333974.846846e-08
0.7726791.5333044.945885e-08
0.7760351.5332125.045354e-08
0.7794071.5331215.145255e-08
0.7827931.533035.245590e-08
0.7861931.532945.346361e-08
0.7896091.532855.447570e-08
0.7930391.5327615.549218e-08
0.7964841.5326735.651308e-08
0.7999441.5325855.753842e-08
0.81.5325835.755500e-08
0.8034191.5324975.632283e-08
0.8069091.532415.506505e-08
0.8104151.5323245.380181e-08
0.8139351.5322385.253308e-08
0.8174711.5321525.125883e-08
0.8210231.5320674.997906e-08
0.8245891.5319834.869372e-08
0.8281721.5318994.740280e-08
0.8317691.5318154.610627e-08
0.8353831.5317324.480411e-08
0.8390121.5316494.349629e-08
0.8426571.5315674.218279e-08
0.8463171.5314864.086359e-08
0.8499941.5314043.953865e-08
0.8536871.5313233.820796e-08
0.8573951.5312433.687148e-08
0.861121.5311633.552920e-08
0.8648611.5310833.418109e-08
0.8686181.5310043.282713e-08
0.8723911.5309253.146728e-08
0.8761811.5308463.010152e-08
0.8799881.5307682.872983e-08
0.8838111.5306912.735218e-08
0.887651.5306132.596855e-08
0.8915061.5305362.457890e-08
0.8953791.5304592.318322e-08
0.8992691.5303832.178148e-08
0.91.5303692.151800e-08
0.9031751.5303072.134058e-08
0.9070991.5302312.112137e-08
0.911041.5301562.090121e-08
0.9149981.5300812.068009e-08
0.9189721.5300062.045801e-08
0.9229651.5299322.023496e-08
0.9269741.5298582.001095e-08
0.9310011.5297841.978596e-08
0.9350461.5297111.955999e-08
0.9391081.5296371.933305e-08
0.9431881.5295641.910511e-08
0.9472851.5294921.887619e-08
0.95141.5294191.864627e-08
0.9555331.5293471.841535e-08
0.9596841.5292751.818343e-08
0.9638531.5292031.795051e-08
0.9680411.5291321.771657e-08
0.9722461.5290611.748161e-08
0.976471.528991.724564e-08
0.9807121.5289191.700864e-08
0.9849721.5288481.677060e-08
0.9892511.5287781.653154e-08
0.9935491.5287081.629144e-08
0.9978651.5286381.605029e-08
11.5286031.593100e-08
1.00221.5285681.586086e-08
1.006551.5284981.572204e-08
1.010931.5284291.558262e-08
1.015321.528361.544259e-08
1.019731.5282911.530196e-08
1.024161.5282221.516071e-08
1.028611.5281531.501885e-08
1.033081.5280841.487637e-08
1.037561.5280161.473328e-08
1.042071.5279471.458956e-08
1.04661.5278791.444522e-08
1.051151.5278111.430025e-08
1.055711.5277431.415465e-08
1.06031.5276751.400842e-08
1.06491.5276081.386156e-08
1.069531.527541.371405e-08
1.074181.5274731.356591e-08
1.078841.5274051.341712e-08
1.083531.5273381.326769e-08
1.088241.5272711.311760e-08
1.092961.5272031.296687e-08
1.097711.5271361.281548e-08
1.102481.5270691.266343e-08
1.107271.5270021.251072e-08
1.112081.5269351.235735e-08
1.116911.5268681.220331e-08
1.121761.5268021.204860e-08
1.126641.5267351.189322e-08
1.131531.5266681.173717e-08
1.136451.5266011.158043e-08
1.141381.5265351.142302e-08
1.146341.5264681.126492e-08
1.151321.5264011.110614e-08
1.156321.5263351.094666e-08
1.161351.5262681.078650e-08
1.166391.5262011.062563e-08
1.171461.5261351.046407e-08
1.176551.5260681.030181e-08
1.181661.5260011.013884e-08
1.186791.5259349.975165e-09
1.191951.5258689.810778e-09
1.197131.5258019.645677e-09
1.21.5257649.554100e-09
1.202331.5257349.572633e-09
1.207551.5256679.614207e-09
1.21281.52569.655962e-09
1.218071.5255339.697898e-09
1.223361.5254669.740016e-09
1.228671.5253999.782317e-09
1.234011.5253329.824802e-09
1.239371.5252649.867472e-09
1.244751.5251979.910327e-09
1.250161.5251299.953368e-09
1.255591.5250629.996596e-09
1.261051.5249941.004001e-08
1.266531.5249261.008362e-08
1.272031.5248581.012741e-08
1.277551.524791.017139e-08
1.28311.5247221.021557e-08
1.288681.5246541.025994e-08
1.294281.5245861.030450e-08
1.29991.5245171.034925e-08
1.305551.5244481.039420e-08
1.311221.5243791.043934e-08
1.316911.524311.048468e-08
1.322641.5242411.053022e-08
1.328381.5241721.057595e-08
1.334151.5241021.062188e-08
1.339951.5240331.066801e-08
1.345771.5239631.071435e-08
1.351621.5238931.076088e-08
1.357491.5238221.080762e-08
1.363381.5237521.085456e-08
1.369311.5236811.090170e-08
1.375261.523611.094905e-08
1.381231.5235391.099660e-08
1.387231.5234681.104436e-08
1.393261.5233961.109233e-08
1.399311.5233251.114050e-08
1.41.5233161.114600e-08
1.405391.5232521.429325e-08
1.411491.523181.785919e-08
1.417631.5231082.144063e-08
1.423781.5230352.503762e-08
1.429971.5229622.865024e-08
1.436181.5228883.227856e-08
1.442421.5228153.592263e-08
1.448691.5227413.958254e-08
1.454981.5226674.325835e-08
1.46131.5225924.695012e-08
1.467651.5225175.065793e-08
1.474031.5224425.438185e-08
1.480431.5223675.812195e-08
1.486861.5222916.187830e-08
1.493321.5222156.565096e-08
1.499811.5221386.944002e-08
1.506321.5220627.324553e-08
1.512871.5219847.706758e-08
1.519441.5219078.090623e-08
1.526041.5218298.476155e-08
1.532671.5217518.863363e-08
1.539331.5216729.252252e-08
1.546011.5215939.642831e-08
1.552731.5215141.003511e-07
1.559481.5214341.042909e-07
1.566251.5213541.082478e-07
1.573051.5212741.122219e-07
1.579891.5211931.162133e-07
1.586751.5211111.202220e-07
1.593641.521031.242481e-07
1.61.5209541.279600e-07
1.600571.5209471.290879e-07
1.607521.5208651.428974e-07
1.61451.5207821.567669e-07
1.621521.5206981.706966e-07
1.628561.5206141.846868e-07
1.635641.520531.987379e-07
1.642741.5204452.128499e-07
1.649881.5203592.270233e-07
1.657051.5202732.412582e-07
1.664251.5201872.555550e-07
1.671481.52012.699139e-07
1.678741.5200132.843352e-07
1.686031.5199252.988191e-07
1.693351.5198363.133659e-07
1.700711.5197473.279760e-07
1.70811.5196583.426495e-07
1.715521.5195683.573867e-07
1.722971.5194773.721880e-07
1.730461.5193863.870535e-07
1.737971.5192944.019837e-07
1.745521.5192024.169787e-07
1.753111.5191094.320388e-07
1.760721.5190154.471644e-07
1.768371.5189214.623557e-07
1.776051.5188274.776130e-07
1.783771.5187314.929365e-07
1.791521.5186355.083267e-07
1.79931.5185395.237837e-07
1.81.518535.251700e-07
1.807121.5184425.537129e-07
1.814971.5183445.851908e-07
1.822851.5182456.168055e-07
1.830771.5181466.485576e-07
1.838731.5180466.804475e-07
1.846711.5179467.124760e-07
1.854741.5178447.446437e-07
1.862791.5177427.769511e-07
1.870891.517648.093988e-07
1.879011.5175368.419875e-07
1.887181.5174328.747178e-07
1.895371.5173279.075902e-07
1.903611.5172229.406055e-07
1.911881.5171169.737642e-07
1.920181.5170081.007067e-06
1.928531.5169011.040514e-06
1.93691.5167921.074107e-06
1.945321.5166831.107846e-06
1.953771.5165721.141731e-06
1.962261.5164611.175763e-06
1.970781.5163491.209944e-06
1.979341.5162371.244272e-06
1.987941.5161231.278750e-06
1.996581.5160091.313378e-06
21.5159641.327100e-06
2.005251.5158941.372401e-06
2.013961.5157781.447549e-06
2.022711.5156611.523023e-06
2.03151.5155431.598825e-06
2.040321.5154241.674957e-06
2.049191.5153041.751419e-06
2.058091.5151841.828213e-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
—