Optical constants

Refractive index of J-FK5 (HIKARI)

J-FK5: 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
1.48749
Extinction coefficient k
1.40486e-08
Permittivity ε1
2.21262
Permittivity ε2
4.17944e-08
Absorption coefficient α
0.00300443 cm⁻¹
Penetration depth δ = λ/(2πk)
6.65683e+09 nm
Abbe number Vd
70.319
Chromatic dispersion dn/dλ
-0.0360807 µm⁻¹
Group index ng
1.50869
Group velocity dispersion
59.3211 fs²/mm
Dispersion parameter D
-323.628 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-FK5 (HIKARI): J-FK5
hikari_j_fk5 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "J-FK5", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_j_fk5.range_nm)  # (365.015, 2058.09) nm
eps = hikari_j_fk5.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=2.18826855−0.00919044724⁢λ2.0−0.000111621071⁢λ4.0+0.00926372815⁢λ−2.0+7.34900733×10-5⁢λ−4.0+4.19724242×10-6⁢λ−6.0−1.15412203×10-7⁢λ−8.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C12.18826855
C2-0.00919044724
C32.0
C4-0.000111621071
C54.0
C60.00926372815
C7-2.0
C87.34900733e-05
C9-4.0
C104.19724242e-06
C11-6.0
C12-1.15412203e-07
C13-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: -8.084e-06 1.807e-08 -1.837e-12 3.752e-07 3.016e-10 0.1691
nd
1.487490
Vd
70.318793
density
value: 2450
thermal expansion
value: 8.9e-06, temperature range: 243 343
dPgF
0.0027
resistance
phosphate: 3.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = -2.88e-06 K⁻¹ at 633 nm, dn/dT = -3.14e-06 K⁻¹ at 1310 nm, dn/dT = -3.15e-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-FK5 (HIKARI), J-FK5: n and k versus wavelength
λ (µm)nk
0.3650151.5040341.455960e-08
0.3666011.5037961.462303e-08
0.3681931.5035611.468673e-08
0.3697931.5033281.475071e-08
0.371.5032981.475900e-08
0.3713991.5030971.481483e-08
0.3730131.5028681.487921e-08
0.3746331.5026421.494386e-08
0.3762611.5024181.500880e-08
0.3778951.5021951.507402e-08
0.3795371.5019751.513952e-08
0.381.5019141.515800e-08
0.3811861.5017581.446632e-08
0.3828421.5015421.350034e-08
0.3845051.5013281.253015e-08
0.3861751.5011161.155575e-08
0.3878531.5009071.057712e-08
0.3895381.5006999.594239e-09
0.391.5006429.324600e-09
0.391231.5004938.569386e-09
0.392931.5002897.525852e-09
0.3946371.5000876.477784e-09
0.3963511.4998875.425164e-09
0.3980731.4996894.367970e-09
0.3998021.4994933.306184e-09
0.41.4994713.184700e-09
0.4015391.4992993.712360e-09
0.4032831.4991064.310447e-09
0.4050351.4989154.911132e-09
0.4067951.4987265.514426e-09
0.4085621.4985396.120341e-09
0.4103371.4983546.728889e-09
0.412121.498177.340080e-09
0.413911.4979887.953926e-09
0.4157081.4978078.570439e-09
0.4175141.4976299.189630e-09
0.4193281.4974529.811511e-09
0.421.4973871.004200e-08
0.4211491.4972761.027142e-08
0.4229791.4971021.063661e-08
0.4248171.496931.100337e-08
0.4266621.4967591.137174e-08
0.4285161.496591.174170e-08
0.4303771.4964231.211327e-08
0.4322471.4962561.248645e-08
0.4341251.4960921.286126e-08
0.436011.4959291.323769e-08
0.4379051.4957671.361576e-08
0.4398071.4956071.399547e-08
0.441.4955911.403400e-08
0.4417181.4954481.377327e-08
0.4436371.4952911.348198e-08
0.4455641.4951351.318942e-08
0.4474991.494981.289559e-08
0.4494431.4948271.260048e-08
0.4513961.4946761.230410e-08
0.4533571.4945251.200642e-08
0.4553261.4943761.170745e-08
0.4573041.4942281.140719e-08
0.4592911.4940821.110561e-08
0.461.494031.099800e-08
0.4612861.4939361.102874e-08
0.463291.4937921.107664e-08
0.4653031.493651.112474e-08
0.4673241.4935081.117305e-08
0.4693541.4933681.122157e-08
0.4713931.4932291.127030e-08
0.4734411.4930911.131925e-08
0.4754981.4929551.136840e-08
0.4775641.4928191.141777e-08
0.4796381.4926851.146736e-08
0.481.4926621.147600e-08
0.4817221.4925521.151724e-08
0.4838151.492421.156736e-08
0.4859171.4922891.161770e-08
0.4880271.4921591.166826e-08
0.4901481.4920311.171903e-08
0.4922771.4919031.177003e-08
0.4944151.4917761.182125e-08
0.4965631.4916511.187269e-08
0.4987211.4915271.192436e-08
0.51.4914541.195500e-08
0.5008871.4914031.197620e-08
0.5030631.4912811.202821e-08
0.5052481.491161.208044e-08
0.5074431.4910391.213290e-08
0.5096481.490921.218558e-08
0.5118621.4908021.223850e-08
0.5140861.4906841.229164e-08
0.5163191.4905681.234502e-08
0.5185621.4904531.239863e-08
0.5208151.4903381.245247e-08
0.5230771.4902241.250654e-08
0.5253491.4901121.256085e-08
0.5276321.491.261540e-08
0.5299241.4898891.267018e-08
0.5322261.4897791.272520e-08
0.5345381.489671.278046e-08
0.536861.4895621.283596e-08
0.5391931.4894551.289170e-08
0.5415351.4893481.294768e-08
0.5438871.4892421.300391e-08
0.546251.4891381.306038e-08
0.5486231.4890341.311710e-08
0.551.4889741.315000e-08
0.5510071.488931.317406e-08
0.55341.4888281.323127e-08
0.5558041.4887261.328873e-08
0.5582191.4886261.334643e-08
0.5606441.4885251.340439e-08
0.563081.4884261.346260e-08
0.5655261.4883281.352106e-08
0.5679821.488231.357978e-08
0.570451.4881331.363875e-08
0.5729281.4880361.369798e-08
0.5754171.4879411.375747e-08
0.5779171.4878461.381721e-08
0.5804271.4877521.387721e-08
0.5829491.4876581.393748e-08
0.5854811.4875651.399800e-08
0.5880251.4874731.405879e-08
0.5905791.4873821.411985e-08
0.5931451.4872911.418117e-08
0.5957221.4872011.424275e-08
0.598311.4871111.430460e-08
0.61.4870541.434500e-08
0.6009091.4870231.446110e-08
0.6035191.4869341.479457e-08
0.6061411.4868471.512948e-08
0.6087741.486761.546585e-08
0.6114191.4866731.580367e-08
0.6140751.4865881.614297e-08
0.6167431.4865031.648374e-08
0.6194221.4864181.682599e-08
0.6221131.4863341.716973e-08
0.6248161.486251.751496e-08
0.627531.4861681.786169e-08
0.6302561.4860851.820993e-08
0.6329941.4860041.855968e-08
0.6357441.4859221.891095e-08
0.6385061.4858421.926374e-08
0.641281.4857621.961807e-08
0.6440661.4856821.997394e-08
0.6468641.4856032.033135e-08
0.6496741.4855242.069031e-08
0.651.4855152.073200e-08
0.6524961.4854462.053252e-08
0.6553311.4853692.030598e-08
0.6581781.4852912.007845e-08
0.6610371.4852151.984994e-08
0.6639081.4851391.962043e-08
0.6667931.4850631.938993e-08
0.6696891.4849881.915843e-08
0.6725991.4849131.892592e-08
0.6755211.4848391.869240e-08
0.6784551.4847651.845786e-08
0.6814031.4846921.822231e-08
0.6843631.4846191.798573e-08
0.6873361.4845461.774813e-08
0.6903221.4844741.750949e-08
0.6933211.4844021.726982e-08
0.6963331.4843311.702910e-08
0.6993581.484261.678734e-08
0.71.4842451.673600e-08
0.7023961.484191.725291e-08
0.7054471.484121.791128e-08
0.7085121.484051.857250e-08
0.711591.4839811.923660e-08
0.7146811.4839121.990358e-08
0.7177861.4838432.057346e-08
0.7209041.4837752.124625e-08
0.7240361.4837072.192196e-08
0.7271811.4836392.260061e-08
0.730341.4835722.328220e-08
0.7335131.4835052.396676e-08
0.73671.4834392.465429e-08
0.73991.4833732.534481e-08
0.7431141.4833072.603832e-08
0.7463421.4832412.673485e-08
0.7495851.4831762.743441e-08
0.7528411.4831112.813700e-08
0.7561121.4830472.884265e-08
0.7593961.4829832.955136e-08
0.7626951.4829193.026315e-08
0.7660091.4828553.097804e-08
0.7693361.4827913.169603e-08
0.7726791.4827283.241714e-08
0.7760351.4826653.314138e-08
0.7794071.4826033.386876e-08
0.7827931.482543.459931e-08
0.7861931.4824783.533303e-08
0.7896091.4824173.606994e-08
0.7930391.4823553.681005e-08
0.7964841.4822943.755337e-08
0.7999441.4822323.829993e-08
0.81.4822323.831200e-08
0.8034191.4821723.724704e-08
0.8069091.4821113.615996e-08
0.8104151.4820513.506815e-08
0.8139351.481993.397160e-08
0.8174711.481933.287029e-08
0.8210231.4818713.176419e-08
0.8245891.4818113.065329e-08
0.8281721.4817522.953756e-08
0.8317691.4816922.841698e-08
0.8353831.4816332.729154e-08
0.8390121.4815752.616121e-08
0.8426571.4815162.502596e-08
0.8463171.4814582.388579e-08
0.8499941.4813992.274066e-08
0.8536871.4813412.159055e-08
0.8573951.4812832.043545e-08
0.861121.4812251.927534e-08
0.8648611.4811681.811018e-08
0.8686181.481111.693996e-08
0.8723911.4810531.576466e-08
0.8761811.4809961.458425e-08
0.8799881.4809381.339871e-08
0.8838111.4808821.220802e-08
0.887651.4808251.101216e-08
0.8915061.4807689.811108e-09
0.8953791.4807118.604835e-09
0.8992691.4806557.393322e-09
0.91.4806447.165600e-09
0.9031751.4805987.190880e-09
0.9070991.4805427.222116e-09
0.911041.4804867.253487e-09
0.9149981.480437.284995e-09
0.9189721.4803747.316640e-09
0.9229651.4803187.348422e-09
0.9269741.4802627.380342e-09
0.9310011.4802067.412401e-09
0.9350461.4801517.444599e-09
0.9391081.4800957.476937e-09
0.9431881.4800397.509416e-09
0.9472851.4799847.542036e-09
0.95141.4799287.574797e-09
0.9555331.4798737.607701e-09
0.9596841.4798177.640747e-09
0.9638531.4797627.673937e-09
0.9680411.4797077.707272e-09
0.9722461.4796527.740751e-09
0.976471.4795967.774375e-09
0.9807121.4795417.808146e-09
0.9849721.4794867.842063e-09
0.9892511.4794317.876128e-09
0.9935491.4793757.910341e-09
0.9978651.479327.944702e-09
11.4792937.961700e-09
1.00221.4792657.979215e-09
1.006551.479218.013880e-09
1.010931.4791558.048695e-09
1.015321.4790998.083662e-09
1.019731.4790448.118781e-09
1.024161.4789898.154052e-09
1.028611.4789348.189476e-09
1.033081.4788788.225055e-09
1.037561.4788238.260787e-09
1.042071.4787678.296676e-09
1.04661.4787128.332720e-09
1.051151.4786578.368920e-09
1.055711.4786018.405278e-09
1.06031.4785458.441794e-09
1.06491.478498.478468e-09
1.069531.4784348.515302e-09
1.074181.4783788.552296e-09
1.078841.4783228.589450e-09
1.083531.4782668.626766e-09
1.088241.478218.664244e-09
1.092961.4781548.701885e-09
1.097711.4780988.739689e-09
1.102481.4780418.777658e-09
1.107271.4779858.815791e-09
1.112081.4779288.854090e-09
1.116911.4778728.892556e-09
1.121761.4778158.931189e-09
1.126641.4777588.969989e-09
1.131531.4777019.008958e-09
1.136451.4776449.048097e-09
1.141381.4775879.087405e-09
1.146341.4775299.126884e-09
1.151321.4774729.166535e-09
1.156321.4774149.206357e-09
1.161351.4773569.246353e-09
1.166391.4772989.286523e-09
1.171461.477249.326867e-09
1.176551.4771819.367386e-09
1.181661.4771239.408082e-09
1.186791.4770649.448954e-09
1.191951.4770059.490004e-09
1.197131.4769469.531232e-09
1.21.4769139.554100e-09
1.202331.4768871.352734e-08
1.207551.4768272.244009e-08
1.21281.4767683.139157e-08
1.218071.4767084.038193e-08
1.223361.4766484.941135e-08
1.228671.4765875.847999e-08
1.234011.4765276.758803e-08
1.239371.4764667.673564e-08
1.244751.4764058.592298e-08
1.250161.4763449.515024e-08
1.255591.4762821.044176e-07
1.261051.476221.137252e-07
1.266531.4761581.230732e-07
1.272031.4760961.324619e-07
1.277551.4760341.418913e-07
1.28311.4759711.513617e-07
1.288681.4759081.608732e-07
1.294281.4758451.704261e-07
1.29991.4757811.800205e-07
1.305551.4757171.896565e-07
1.311221.4756531.993344e-07
1.316911.4755882.090544e-07
1.322641.4755242.188165e-07
1.328381.4754582.286211e-07
1.334151.4753932.384683e-07
1.339951.4753272.483582e-07
1.345771.4752612.582911e-07
1.351621.4751952.682672e-07
1.357491.4751282.782866e-07
1.363381.4750612.883495e-07
1.369311.4749942.984562e-07
1.375261.4749263.086067e-07
1.381231.4748583.188014e-07
1.387231.4747893.290403e-07
1.393261.474723.393237e-07
1.399311.4746513.496518e-07
1.41.4746433.508300e-07
1.405391.4745813.458667e-07
1.411491.4745113.402430e-07
1.417631.4744413.345950e-07
1.423781.474373.289224e-07
1.429971.4742993.232252e-07
1.436181.4742273.175032e-07
1.442421.4741553.117563e-07
1.448691.4740833.059845e-07
1.454981.474013.001876e-07
1.46131.4739372.943656e-07
1.467651.4738632.885182e-07
1.474031.4737892.826455e-07
1.480431.4737142.767472e-07
1.486861.4736392.708233e-07
1.493321.4735632.648737e-07
1.499811.4734872.588982e-07
1.506321.473412.528967e-07
1.512871.4733332.468692e-07
1.519441.4732562.408155e-07
1.526041.4731782.347355e-07
1.532671.4730992.286291e-07
1.539331.473022.224962e-07
1.546011.472942.163366e-07
1.552731.472862.101503e-07
1.559481.4727792.039371e-07
1.566251.4726981.976969e-07
1.573051.4726161.914296e-07
1.579891.4725341.851350e-07
1.586751.4724511.788132e-07
1.593641.4723681.724638e-07
1.61.4722911.666100e-07
1.600571.4722841.669586e-07
1.607521.4721991.712269e-07
1.61451.4721141.755137e-07
1.621521.4720281.798191e-07
1.628561.4719421.841432e-07
1.635641.4718541.884861e-07
1.642741.4717671.928479e-07
1.649881.4716781.972286e-07
1.657051.4715892.016283e-07
1.664251.47152.060472e-07
1.671481.471412.104852e-07
1.678741.4713192.149426e-07
1.686031.4712272.194193e-07
1.693351.4711352.239154e-07
1.700711.4710422.284311e-07
1.70811.4709482.329664e-07
1.715521.4708542.375214e-07
1.722971.4707592.420962e-07
1.730461.4706632.466908e-07
1.737971.4705662.513055e-07
1.745521.4704692.559401e-07
1.753111.4703712.605949e-07
1.760721.4702722.652700e-07
1.768371.4701732.699653e-07
1.776051.4700722.746810e-07
1.783771.4699712.794173e-07
1.791521.4698692.841741e-07
1.79931.4697662.889515e-07
1.81.4697572.893800e-07
1.807121.4696632.975037e-07
1.814971.4695583.064627e-07
1.822851.4694533.154607e-07
1.830771.4693473.244977e-07
1.838731.469243.335741e-07
1.846711.4691333.426898e-07
1.854741.4690243.518451e-07
1.862791.4689143.610403e-07
1.870891.4688043.702753e-07
1.879011.4686933.795505e-07
1.887181.468583.888660e-07
1.895371.4684673.982219e-07
1.903611.4683534.076185e-07
1.911881.4682384.170559e-07
1.920181.4681224.265343e-07
1.928531.4680054.360539e-07
1.93691.4678874.456148e-07
1.945321.4677684.552173e-07
1.953771.4676494.648615e-07
1.962261.4675284.745476e-07
1.970781.4674064.842757e-07
1.979341.4672834.940462e-07
1.987941.4671595.038590e-07
1.996581.4670335.137145e-07
21.4669845.176200e-07
2.005251.4669075.952529e-07
2.013961.466787.240353e-07
2.022711.4666528.533771e-07
2.03151.4665229.832808e-07
2.040321.4663921.113749e-06
2.049191.466261.244784e-06
2.058091.4661271.376388e-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
—