Optical constants

Refractive index of 5742 (HIKARI)

5742: n,k 0.3261–2.325 µm

Data
formula 2 + tabulated k
Range
0.3261–2.325 µm
Temperature
295.65 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.3261–2.325 µm
Refractive index n
1.57653
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.48544
Permittivity ε2
1.47509e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
42.042
Chromatic dispersion dn/dλ
-0.0699359 µm⁻¹
Group index ng
1.61762
Group velocity dispersion
131.89 fs²/mm
Dispersion parameter D
-719.53 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

# 5742 (HIKARI): 5742
hikari_5742 = ls.fetch_refractiveindex("specs", "HIKARI-misc", "5742", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_5742.range_nm)  # (326.11, 2325.42) nm
eps = hikari_5742.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

Sellmeier (C in µm²) (formula 2), λ in µm
n2−1=1.30326513λ2λ2−0.00977713845+0.127313632λ2λ2−0.0463756328+0.895143157λ2λ2−107.962139

Valid from 0.32611 to 2.32542 µm.

Coefficients as stored
CiValue
C10.0
C21.30326513
C30.00977713845
C40.127313632
C50.0463756328
C60.895143157
C7107.962139

Comments and conditions

Conditions

temperature
295.65 K

Properties

thermal dispersion
type: formula A, coefficients: 4.25e-07 1.13e-08 2.44e-13 9.33e-07 8.92e-10 0.201
nd
1.576531
Vd
42.042478
density
value: 3150
thermal expansion
value: 8.7e-06, temperature range: 243 343
dPgF
-0.0024
resistance
acid: 2.0; alkali: 1.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 295.65 K): dn/dT = 1.41e-06 K⁻¹ at 633 nm, dn/dT = 4.50e-07 K⁻¹ at 1310 nm, dn/dT = 3.74e-07 K⁻¹ at 1550 nm

References

Cite

NIKON Zemax catalog 2017-11 (obtained from http://www.nikon.com); See also NIKON i-line glass data sheet; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 427 wavelengths, the same grid as the API and the library
5742 (HIKARI), 5742: n and k versus wavelength
λ (µm)nk
0.326111.6309797.973263e-07
0.327721.630026.063250e-07
0.3293371.6290784.143810e-07
0.331.6286983.357000e-07
0.3309621.6281523.126687e-07
0.3325961.6272432.735789e-07
0.3342371.626352.342962e-07
0.3358871.6254731.948196e-07
0.3375451.624611.551481e-07
0.3392111.6237621.152809e-07
0.341.6233679.639400e-08
0.3408851.6229299.108887e-08
0.3425671.622118.100283e-08
0.3442581.6213047.086700e-08
0.3459571.6205116.068115e-08
0.3476651.6197325.044502e-08
0.3493811.6189654.015838e-08
0.351.6186923.644500e-08
0.3511051.618213.464162e-08
0.3528381.6174673.181339e-08
0.3545791.6167362.897120e-08
0.3563291.6160172.611498e-08
0.3580881.6153092.324466e-08
0.3598551.6146122.036018e-08
0.361.6145552.012400e-08
0.3616311.6139251.830830e-08
0.3634161.6132491.632178e-08
0.3651.6126611.455900e-08
0.365211.6125841.407164e-08
0.3670121.6119289.885101e-09
0.3688241.6112825.677895e-09
0.371.6108692.945800e-09
0.3706441.6106462.950933e-09
0.3724731.6100192.965513e-09
0.3743121.6094012.980164e-09
0.3761591.6087932.994888e-09
0.3780161.6081933.009685e-09
0.3798811.6076023.024554e-09
0.381.6075643.025500e-09
0.3817561.6070193.039480e-09
0.383641.6064453.054478e-09
0.3855341.6058783.069550e-09
0.3874371.605323.084696e-09
0.3893491.604773.099917e-09
0.391.6045853.105100e-09
0.391271.6042273.115213e-09
0.3932021.6036923.130585e-09
0.3951421.6031643.146032e-09
0.3970921.6026433.161556e-09
0.3990521.602133.177157e-09
0.41.6018853.184700e-09
0.4010221.6016233.192834e-09
0.4030011.6011243.208589e-09
0.404991.6006313.224421e-09
0.4069891.6001443.240332e-09
0.4089981.5996643.256321e-09
0.4110161.5991913.272389e-09
0.4130451.5987243.288537e-09
0.4150831.5982623.304764e-09
0.4171321.5978073.321071e-09
0.4191911.5973583.337459e-09
0.421.5971843.343900e-09
0.421261.5969153.353934e-09
0.4233391.5964773.370494e-09
0.4254281.5960453.387136e-09
0.4275281.5956193.403860e-09
0.4296381.5951983.420667e-09
0.4317581.5947823.437556e-09
0.4338891.5943713.454529e-09
0.4360311.5939663.471586e-09
0.4381831.5935663.488727e-09
0.441.5932333.503200e-09
0.4403461.5931713.505951e-09
0.4425191.592783.523250e-09
0.4447031.5923953.540635e-09
0.4468981.5920143.558106e-09
0.4491031.5916383.575663e-09
0.451321.5912673.593307e-09
0.4535471.59093.611038e-09
0.4557861.5905373.628856e-09
0.4580351.5901793.646763e-09
0.461.5898713.662400e-09
0.4602961.5898253.664757e-09
0.4625681.5894763.682841e-09
0.4648511.5891313.701013e-09
0.4671451.5887893.719276e-09
0.4694511.5884523.737628e-09
0.4717681.5881193.756071e-09
0.4740961.587793.774606e-09
0.4764361.5874653.793231e-09
0.4787881.5871433.811949e-09
0.481.586983.821600e-09
0.4811511.5868253.830764e-09
0.4835251.5865113.849679e-09
0.4859121.5862013.868687e-09
0.488311.5858943.887789e-09
0.490721.5855913.906985e-09
0.4931421.5852913.926276e-09
0.4955761.5849953.945662e-09
0.4980221.5847023.965144e-09
0.51.5844683.980900e-09
0.500481.5844123.984720e-09
0.502951.5841264.004387e-09
0.5054321.5838434.024151e-09
0.5079271.5835634.044013e-09
0.5104341.5832864.063973e-09
0.5129531.5830124.084031e-09
0.5154851.5827424.104188e-09
0.5180291.5824744.124445e-09
0.5205851.582214.144802e-09
0.5231551.5819484.165259e-09
0.5257371.5816894.185817e-09
0.5283321.5814334.206476e-09
0.5309391.581184.227238e-09
0.533561.580934.248102e-09
0.5361931.5806824.269069e-09
0.5388391.5804374.290139e-09
0.5414991.5801954.311314e-09
0.5441711.5799554.332593e-09
0.5468571.5797184.353977e-09
0.5495561.5794834.375467e-09
0.551.5794454.379000e-09
0.5522691.5792514.397058e-09
0.5549941.5790214.418754e-09
0.5577331.5787944.440558e-09
0.5604861.5785694.462470e-09
0.5632521.5783474.484489e-09
0.5660321.5781274.506617e-09
0.5688261.5779094.528855e-09
0.5716331.5776934.551202e-09
0.5744551.577484.573660e-09
0.577291.5772694.596228e-09
0.5801391.577064.618908e-09
0.5830021.5768534.641700e-09
0.585881.5766494.664604e-09
0.5887711.5764464.687621e-09
0.5916771.5762464.710752e-09
0.5945981.5760474.733997e-09
0.5975321.5758514.757356e-09
0.61.5756884.777000e-09
0.6004811.5756574.780832e-09
0.6034451.5754644.804429e-09
0.6064231.5752744.828142e-09
0.6094161.5750854.851973e-09
0.6124241.5748984.875921e-09
0.6154471.5747134.899987e-09
0.6184841.574534.924172e-09
0.6215371.5743494.948476e-09
0.6246041.5741694.972900e-09
0.6276871.5739924.997445e-09
0.6307851.5738165.022111e-09
0.6338981.5736415.046898e-09
0.6370271.5734695.071808e-09
0.6401711.5732985.096841e-09
0.6433311.5731285.121998e-09
0.6465061.5729615.147278e-09
0.6496971.5727945.172684e-09
0.651.5727795.175100e-09
0.6529031.572635.198214e-09
0.6561251.5724675.223871e-09
0.6593641.5723055.249655e-09
0.6626181.5721455.275565e-09
0.6658881.5719875.301604e-09
0.6691751.571835.327771e-09
0.6724781.5716745.354067e-09
0.6757971.571525.380493e-09
0.6791321.5713685.407049e-09
0.6824841.5712165.433737e-09
0.6858521.5710665.460556e-09
0.6892371.5709185.487508e-09
0.6926391.570775.514592e-09
0.6960581.5706255.541811e-09
0.6994931.570485.569163e-09
0.71.5704595.573200e-09
0.7029451.5703375.596651e-09
0.7064151.5701945.624274e-09
0.7099011.5700545.652034e-09
0.7134051.5699145.679930e-09
0.7169261.5697765.707964e-09
0.7204641.5696385.736137e-09
0.724021.5695025.764449e-09
0.7275941.5693675.792900e-09
0.7311851.5692345.821492e-09
0.7347931.5691015.850225e-09
0.738421.5689695.879100e-09
0.7420641.5688395.908117e-09
0.7457271.568715.937278e-09
0.7494071.5685815.966582e-09
0.7531061.5684545.996031e-09
0.7568231.5683286.025626e-09
0.7605581.5682036.055366e-09
0.7643121.5680796.085253e-09
0.7680841.5679566.115288e-09
0.7718751.5678336.145471e-09
0.7756851.5677126.175803e-09
0.7795131.5675926.206285e-09
0.7833611.5674736.236917e-09
0.7872271.5673546.267700e-09
0.7911121.5672376.298635e-09
0.7950171.567126.329723e-09
0.7989411.5670046.360965e-09
0.81.5669736.369400e-09
0.8028841.5668896.392360e-09
0.8068461.5667756.423911e-09
0.8108291.5666626.455617e-09
0.814831.566556.487479e-09
0.8188521.5664386.519499e-09
0.8228931.5663286.551677e-09
0.8269551.5662186.584014e-09
0.8310361.5661086.616511e-09
0.8351381.5666.649167e-09
0.839261.5658926.681985e-09
0.8434021.5657856.714965e-09
0.8475641.5656796.748108e-09
0.8517481.5655746.781414e-09
0.8559511.5654696.814885e-09
0.8601761.5653656.848521e-09
0.8644211.5652616.882323e-09
0.8686881.5651596.916291e-09
0.8729751.5650576.950428e-09
0.8772841.5649556.984733e-09
0.8816131.5648547.019207e-09
0.8859651.5647547.053851e-09
0.8903371.5646557.088666e-09
0.8947321.5645567.123653e-09
0.8991481.5644577.158813e-09
0.91.5644387.165600e-09
0.9035851.5643597.194143e-09
0.9080451.5642627.229646e-09
0.9125271.5641657.265325e-09
0.917031.5640697.301179e-09
0.9215561.5639747.337211e-09
0.9261051.5638797.373420e-09
0.9306761.5637847.409808e-09
0.9352691.563697.446376e-09
0.9398851.5635967.483124e-09
0.9445241.5635037.520053e-09
0.9491851.5634117.557165e-09
0.953871.5633197.594460e-09
0.9585781.5632277.631939e-09
0.9633091.5631367.669603e-09
0.9680631.5630457.707453e-09
0.9728411.5629547.745490e-09
0.9776431.5628647.783714e-09
0.9824681.5627757.822127e-09
0.9873171.5626867.860730e-09
0.992191.5625977.899523e-09
0.9970871.5625087.938508e-09
11.5624567.961700e-09
1.002011.562427.977687e-09
1.006951.5623338.017062e-09
1.011921.5622458.056632e-09
1.016921.5621588.096397e-09
1.021941.5620728.136358e-09
1.026981.5619858.176517e-09
1.032051.5618998.216873e-09
1.037141.5618138.257429e-09
1.042261.5617288.298185e-09
1.047411.5616438.339142e-09
1.052571.5615588.380302e-09
1.057771.5614738.421664e-09
1.062991.5613898.463231e-09
1.068241.5613058.505002e-09
1.073511.5612218.546980e-09
1.078811.5611378.589166e-09
1.084131.5610548.631559e-09
1.089481.560978.674161e-09
1.094861.5608878.716974e-09
1.100261.5608048.759998e-09
1.105691.5607228.803235e-09
1.111151.5606398.846685e-09
1.116641.5605578.890349e-09
1.122151.5604758.934229e-09
1.127681.5603938.978325e-09
1.133251.5603119.022639e-09
1.138841.5602299.067172e-09
1.144461.5601489.111924e-09
1.150111.5600669.156898e-09
1.155791.5599859.202093e-09
1.161491.5599039.247512e-09
1.167231.5598229.293154e-09
1.172991.5597419.339022e-09
1.178781.559669.385116e-09
1.184591.5595799.431438e-09
1.190441.5594989.477988e-09
1.196321.5594179.524768e-09
1.21.5593669.554100e-09
1.202221.5593369.819656e-09
1.208151.5592551.052928e-08
1.214121.5591741.124240e-08
1.220111.5590941.195904e-08
1.226131.5590131.267922e-08
1.232181.5589321.340296e-08
1.238261.5588511.413027e-08
1.244381.558771.486116e-08
1.250521.5586891.559567e-08
1.256691.5586091.633379e-08
1.262891.5585281.707557e-08
1.269121.5584471.782100e-08
1.275391.5583651.857011e-08
1.281681.5582841.932292e-08
1.288011.5582032.007944e-08
1.294371.5581222.083970e-08
1.300751.558042.160371e-08
1.307171.5579592.237149e-08
1.313631.5578772.314306e-08
1.320111.5577952.391844e-08
1.326621.5577132.469765e-08
1.333171.5576312.548070e-08
1.339751.5575492.626762e-08
1.346361.5574672.705842e-08
1.353011.5573842.785312e-08
1.359691.5573022.865175e-08
1.36641.5572192.945431e-08
1.373141.5571363.026084e-08
1.379921.5570523.107135e-08
1.386731.5569693.188586e-08
1.393571.5568853.270439e-08
1.41.5568073.347300e-08
1.400451.5568013.354146e-08
1.407361.5567173.459031e-08
1.414311.5566323.564434e-08
1.421291.5565483.670357e-08
1.42831.5564633.776803e-08
1.435351.5563773.883774e-08
1.442441.5562923.991273e-08
1.449561.5562064.099302e-08
1.456711.556124.207865e-08
1.46391.5560334.316964e-08
1.471131.5559474.426601e-08
1.478391.555864.536779e-08
1.485681.5557724.647501e-08
1.493021.5556844.758769e-08
1.500381.5555964.870587e-08
1.507791.5555084.982956e-08
1.515231.5554195.095880e-08
1.522711.5553295.209362e-08
1.530231.555245.323403e-08
1.537781.555155.438007e-08
1.545371.5550595.553177e-08
1.552991.5549685.668916e-08
1.560661.5548775.785225e-08
1.568361.5547855.902109e-08
1.57611.5546936.019570e-08
1.583881.55466.137610e-08
1.59171.5545076.256233e-08
1.599551.5544136.375441e-08
1.61.5544086.382200e-08
1.607451.5543197.549963e-08
1.615381.5542248.793661e-08
1.623361.5541291.004350e-07
1.631371.5540331.129950e-07
1.639421.5539371.256171e-07
1.647511.553841.383014e-07
1.655641.5537421.510483e-07
1.663811.5536441.638582e-07
1.672021.5535461.767312e-07
1.680281.5534471.896678e-07
1.688571.5533472.026683e-07
1.69691.5532462.157329e-07
1.705281.5531452.288620e-07
1.71371.5530442.420559e-07
1.722151.5529412.553149e-07
1.730651.5528382.686394e-07
1.739191.5527352.820296e-07
1.747781.552632.954859e-07
1.75641.5525253.090086e-07
1.765071.552423.225981e-07
1.773791.5523133.362546e-07
1.782541.5522063.499786e-07
1.791341.5520983.637702e-07
1.81.5519913.773500e-07
1.800181.5519893.778471e-07
1.809061.551884.025783e-07
1.817991.5517694.274316e-07
1.826961.5516584.524076e-07
1.835981.5515474.775068e-07
1.845041.5514345.027299e-07
1.854151.551325.280775e-07
1.86331.5512065.535502e-07
1.87251.5510915.791487e-07
1.881741.5509756.048734e-07
1.891031.5508586.307252e-07
1.900361.550746.567045e-07
1.909741.5506216.828120e-07
1.919161.5505017.090484e-07
1.928641.5503817.354143e-07
1.938151.5502597.619103e-07
1.947721.5501367.885371e-07
1.957331.5500138.152953e-07
1.966991.5498888.421856e-07
1.97671.5497638.692085e-07
1.986461.5496368.963649e-07
1.996261.5495089.236553e-07
21.5494599.340600e-07
2.006111.5493799.739255e-07
2.016021.549251.038478e-06
2.025971.5491191.103350e-06
2.035971.5489871.168541e-06
2.046011.5488541.234054e-06
2.056111.5487191.299891e-06
2.066261.5485841.366052e-06
2.076461.5484471.432540e-06
2.086711.5483091.499357e-06
2.0971.548171.566503e-06
2.107351.548031.633980e-06
2.117761.5478891.701791e-06
2.128211.5477461.769936e-06
2.138711.5476021.838417e-06
2.149271.5474571.907237e-06
2.159871.547311.976396e-06
2.170531.5471622.045896e-06
2.181251.5470132.115739e-06
2.192011.5468622.185928e-06
2.21.546752.238000e-06
2.202831.546712.250260e-06
2.21371.5465572.297331e-06
2.224631.5464022.344634e-06
2.235611.5462452.392170e-06
2.246641.5460882.439941e-06
2.257731.5459282.487948e-06
2.268871.5457682.536192e-06
2.280071.5456052.584674e-06
2.291331.5454412.633395e-06
2.302631.5452762.682356e-06
2.3141.5451092.731560e-06
2.325421.544942.781006e-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
—