Optical constants

Refractive index of Q-LASFH58S (HIKARI)

Q-LASFH58S: 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
1.85108
Extinction coefficient k
3.06630e-08
Permittivity ε1
3.42648
Permittivity ε2
1.13519e-07
Absorption coefficient α
0.00655756 cm⁻¹
Penetration depth δ = λ/(2πk)
3.04992e+09 nm
Abbe number Vd
40.124
Chromatic dispersion dn/dλ
-0.108261 µm⁻¹
Group index ng
1.91469
Group velocity dispersion
204.365 fs²/mm
Dispersion parameter D
-1114.92 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-LASFH58S (HIKARI): Q-LASFH58S
mat = ls.fetch_refractiveindex("specs", "HIKARI-optical", "Q-LASFH58S", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mat.range_nm)  # (365.015, 2058.09) nm
eps = mat.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=3.32552726−0.0132706113⁢λ2.0−0.000149120991⁢λ4.0+0.0339899628⁢λ−2.0+0.000811209445⁢λ−4.0+5.79662969×10-6⁢λ−6.0+2.35145894×10-6⁢λ−8.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C13.32552726
C2-0.0132706113
C32.0
C4-0.000149120991
C54.0
C60.0339899628
C7-2.0
C80.000811209445
C9-4.0
C105.79662969e-06
C11-6.0
C122.35145894e-06
C13-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: 4.827e-06 1.1068e-08 -9.3935e-13 8.4338e-07 1.0846e-09 0.2102
nd
1.851080
Vd
40.123706
density
value: 5030
thermal expansion
value: 6.1e-06, temperature range: 243 343
dPgF
0.0085

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = 4.69e-06 K⁻¹ at 633 nm, dn/dT = 3.40e-06 K⁻¹ at 1310 nm, dn/dT = 3.29e-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-LASFH58S (HIKARI), Q-LASFH58S: n and k versus wavelength
λ (µm)nk
0.3650151.9064311.035316e-06
0.3666011.905569.630204e-07
0.3681931.9046998.904106e-07
0.3697931.903858.174854e-07
0.371.9037418.080400e-07
0.3713991.9030117.637397e-07
0.3730131.9021827.126597e-07
0.3746331.9013636.613577e-07
0.3762611.9005546.098329e-07
0.3778951.8997555.580842e-07
0.3795371.8989665.061107e-07
0.381.8987454.914500e-07
0.3811861.8981864.715406e-07
0.3828421.8974154.437354e-07
0.3845051.8966544.158094e-07
0.3861751.8959013.877621e-07
0.3878531.8951583.595929e-07
0.3895381.8944233.313013e-07
0.391.8942233.235400e-07
0.391231.8936973.121575e-07
0.392931.8929792.964294e-07
0.3946371.892272.806331e-07
0.3963511.8915692.647681e-07
0.3980731.8908762.488341e-07
0.3998021.8901912.328310e-07
0.41.8901132.310000e-07
0.4015391.8895142.239915e-07
0.4032831.8888452.160476e-07
0.4050351.8881832.080692e-07
0.4067951.8875292.000561e-07
0.4085621.8868821.920082e-07
0.4103371.8862431.839254e-07
0.412121.885611.758074e-07
0.413911.8849851.676542e-07
0.4157081.8843671.594656e-07
0.4175141.8837561.512413e-07
0.4193281.8831511.429814e-07
0.421.8829291.399200e-07
0.4211491.8825531.380079e-07
0.4229791.8819621.349645e-07
0.4248171.8813771.319077e-07
0.4266621.8807991.288377e-07
0.4285161.8802271.257544e-07
0.4303771.8796611.226577e-07
0.4322471.8791011.195475e-07
0.4341251.8785481.164238e-07
0.436011.8781.132866e-07
0.4379051.8774591.101357e-07
0.4398071.8769231.069711e-07
0.441.8768691.066500e-07
0.4417181.8763931.044842e-07
0.4436371.8758681.020645e-07
0.4455641.8753499.963435e-08
0.4474991.8748369.719361e-08
0.4494431.8743289.474227e-08
0.4513961.8738259.228029e-08
0.4533571.8733288.980760e-08
0.4553261.8728368.732417e-08
0.4573041.8723498.482996e-08
0.4592911.8718678.232491e-08
0.461.8716978.143100e-08
0.4612861.871397.990661e-08
0.463291.8709187.753185e-08
0.4653031.8704517.514676e-08
0.4673241.8699897.275132e-08
0.4693541.8695317.034547e-08
0.4713931.8690786.792917e-08
0.4734411.868636.550238e-08
0.4754981.8681876.306504e-08
0.4775641.8677486.061711e-08
0.4796381.8673135.815855e-08
0.481.8672385.773000e-08
0.4817221.8668835.620247e-08
0.4838151.8664575.434613e-08
0.4859171.8660355.248172e-08
0.4880271.8656185.060922e-08
0.4901481.8652054.872858e-08
0.4922771.8647964.683977e-08
0.4944151.8643914.494275e-08
0.4965631.863994.303750e-08
0.4987211.8635934.112397e-08
0.51.8633613.998900e-08
0.5008871.86323.966877e-08
0.5030631.8628113.888324e-08
0.5052481.8624263.809430e-08
0.5074431.8620443.730194e-08
0.5096481.8616673.650613e-08
0.5118621.8612933.570686e-08
0.5140861.8609223.490413e-08
0.5163191.8605553.409790e-08
0.5185621.8601923.328818e-08
0.5208151.8598323.247493e-08
0.5230771.8594763.165816e-08
0.5253491.8591233.083783e-08
0.5276321.8587743.001394e-08
0.5299241.8584282.918647e-08
0.5322261.8580852.835541e-08
0.5345381.8577462.752074e-08
0.536861.8574092.668244e-08
0.5391931.8570762.584050e-08
0.5415351.8567462.499490e-08
0.5438871.8564192.414563e-08
0.546251.8560962.329266e-08
0.5486231.8557752.243600e-08
0.551.8555912.193900e-08
0.5510071.8554572.217256e-08
0.55341.8551432.272794e-08
0.5558041.8548312.328574e-08
0.5582191.8545222.384597e-08
0.5606441.8542162.440862e-08
0.563081.8539132.497372e-08
0.5655261.8536132.554128e-08
0.5679821.8533152.611130e-08
0.570451.853022.668380e-08
0.5729281.8527282.725878e-08
0.5754171.8524382.783626e-08
0.5779171.8521522.841625e-08
0.5804271.8518672.899877e-08
0.5829491.8515862.958381e-08
0.5854811.8513073.017139e-08
0.5880251.851033.076153e-08
0.5905791.8507563.135422e-08
0.5931451.8504843.194950e-08
0.5957221.8502153.254736e-08
0.598311.8499483.314782e-08
0.61.8497763.354000e-08
0.6009091.8496843.368555e-08
0.6035191.8494223.410359e-08
0.6061411.8491623.452345e-08
0.6087741.8489043.494514e-08
0.6114191.8486493.536865e-08
0.6140751.8483963.579401e-08
0.6167431.8481463.622121e-08
0.6194221.8478973.665027e-08
0.6221131.8476513.708119e-08
0.6248161.8474063.751399e-08
0.627531.8471643.794866e-08
0.6302561.8469243.838523e-08
0.6329941.8466863.882369e-08
0.6357441.846453.926405e-08
0.6385061.8462173.970633e-08
0.641281.8459854.015053e-08
0.6440661.8457554.059666e-08
0.6468641.8455274.104473e-08
0.6496741.8453014.149474e-08
0.651.8452754.154700e-08
0.6524961.8450774.170654e-08
0.6553311.8448544.188773e-08
0.6581781.8446344.206971e-08
0.6610371.8444154.225247e-08
0.6639081.8441994.243603e-08
0.6667931.8439844.262039e-08
0.6696891.8437714.280554e-08
0.6725991.8435594.299151e-08
0.6755211.8433494.317827e-08
0.6784551.8431414.336586e-08
0.6814031.8429354.355425e-08
0.6843631.8427314.374347e-08
0.6873361.8425284.393350e-08
0.6903221.8423264.412436e-08
0.6933211.8421274.431605e-08
0.6963331.8419294.450858e-08
0.6993581.8417324.470194e-08
0.71.8416914.474300e-08
0.7023961.8415374.520392e-08
0.7054471.8413444.579098e-08
0.7085121.8411524.638058e-08
0.711591.8409624.697275e-08
0.7146811.8407734.756748e-08
0.7177861.8405854.816480e-08
0.7209041.8403994.876472e-08
0.7240361.8402154.936724e-08
0.7271811.8400324.997238e-08
0.730341.839855.058015e-08
0.7335131.839675.119056e-08
0.73671.8394915.180362e-08
0.73991.8393135.241935e-08
0.7431141.8391375.303774e-08
0.7463421.8389625.365883e-08
0.7495851.8387885.428261e-08
0.7528411.8386165.490911e-08
0.7561121.8384455.553832e-08
0.7593961.8382755.617027e-08
0.7626951.8381075.680496e-08
0.7660091.8379395.744241e-08
0.7693361.8377735.808263e-08
0.7726791.8376085.872564e-08
0.7760351.8374455.937143e-08
0.7794071.8372826.002003e-08
0.7827931.8371216.067145e-08
0.7861931.836966.132570e-08
0.7896091.8368016.198279e-08
0.7930391.8366436.264273e-08
0.7964841.8364866.330554e-08
0.7999441.836336.397124e-08
0.81.8363286.398200e-08
0.8034191.8361756.203934e-08
0.8069091.8360216.005631e-08
0.8104151.8358695.806467e-08
0.8139351.8357175.606437e-08
0.8174711.8355665.405538e-08
0.8210231.8354175.203767e-08
0.8245891.8352685.001119e-08
0.8281721.835124.797591e-08
0.8317691.8349734.593178e-08
0.8353831.8348274.387878e-08
0.8390121.8346834.181686e-08
0.8426571.8345393.974598e-08
0.8463171.8343953.766610e-08
0.8499941.8342533.557719e-08
0.8536871.8341123.347920e-08
0.8573951.8339723.137210e-08
0.861121.8338322.925584e-08
0.8648611.8336932.713040e-08
0.8686181.8335552.499571e-08
0.8723911.8334182.285176e-08
0.8761811.8332822.069849e-08
0.8799881.8331471.853587e-08
0.8838111.8330121.636385e-08
0.887651.8328781.418239e-08
0.8915061.8327451.199146e-08
0.8953791.8326129.791013e-09
0.8992691.8324817.581005e-09
0.91.8324567.165600e-09
0.9031751.832357.190880e-09
0.9070991.832227.222116e-09
0.911041.832097.253487e-09
0.9149981.8319617.284995e-09
0.9189721.8318337.316640e-09
0.9229651.8317067.348422e-09
0.9269741.8315797.380342e-09
0.9310011.8314537.412401e-09
0.9350461.8313287.444599e-09
0.9391081.8312037.476937e-09
0.9431881.8310797.509416e-09
0.9472851.8309557.542036e-09
0.95141.8308327.574797e-09
0.9555331.830717.607701e-09
0.9596841.8305887.640747e-09
0.9638531.8304667.673937e-09
0.9680411.8303467.707272e-09
0.9722461.8302267.740751e-09
0.976471.8301067.774375e-09
0.9807121.8299877.808146e-09
0.9849721.8298687.842063e-09
0.9892511.829757.876128e-09
0.9935491.8296337.910341e-09
0.9978651.8295167.944702e-09
11.8294587.961700e-09
1.00221.8293997.979215e-09
1.006551.8292838.013880e-09
1.010931.8291678.048695e-09
1.015321.8290528.083662e-09
1.019731.8289378.118781e-09
1.024161.8288238.154052e-09
1.028611.8287098.189476e-09
1.033081.8285958.225055e-09
1.037561.8284828.260787e-09
1.042071.828378.296676e-09
1.04661.8282578.332720e-09
1.051151.8281458.368920e-09
1.055711.8280348.405278e-09
1.06031.8279238.441794e-09
1.06491.8278128.478468e-09
1.069531.8277018.515302e-09
1.074181.8275918.552296e-09
1.078841.8274818.589450e-09
1.083531.8273718.626766e-09
1.088241.8272628.664244e-09
1.092961.8271538.701885e-09
1.097711.8270448.739689e-09
1.102481.8269368.777658e-09
1.107271.8268288.815791e-09
1.112081.826728.854090e-09
1.116911.8266128.892556e-09
1.121761.8265058.931189e-09
1.126641.8263988.969989e-09
1.131531.8262919.008958e-09
1.136451.8261849.048097e-09
1.141381.8260779.087405e-09
1.146341.8259719.126884e-09
1.151321.8258659.166535e-09
1.156321.8257599.206357e-09
1.161351.8256539.246353e-09
1.166391.8255479.286523e-09
1.171461.8254429.326867e-09
1.176551.8253369.367386e-09
1.181661.8252319.408082e-09
1.186791.8251269.448954e-09
1.191951.8250219.490004e-09
1.197131.8249169.531232e-09
1.21.8248589.554100e-09
1.202331.8248119.572633e-09
1.207551.8247069.614207e-09
1.21281.8246029.655962e-09
1.218071.8244979.697898e-09
1.223361.8243939.740016e-09
1.228671.8242889.782317e-09
1.234011.8241849.824802e-09
1.239371.8240799.867472e-09
1.244751.8239759.910327e-09
1.250161.8238719.953368e-09
1.255591.8237669.996596e-09
1.261051.8236621.004001e-08
1.266531.8235581.008362e-08
1.272031.8234531.012741e-08
1.277551.8233491.017139e-08
1.28311.8232451.021557e-08
1.288681.823141.025994e-08
1.294281.8230361.030450e-08
1.29991.8229311.034925e-08
1.305551.8228271.039420e-08
1.311221.8227221.043934e-08
1.316911.8226171.048468e-08
1.322641.8225131.053022e-08
1.328381.8224081.057595e-08
1.334151.8223031.062188e-08
1.339951.8221971.066801e-08
1.345771.8220921.071435e-08
1.351621.8219871.076088e-08
1.357491.8218811.080762e-08
1.363381.8217761.085456e-08
1.369311.821671.090170e-08
1.375261.8215641.094905e-08
1.381231.8214571.099660e-08
1.387231.8213511.104436e-08
1.393261.8212441.109233e-08
1.399311.8211381.114050e-08
1.41.8211251.114600e-08
1.405391.8210311.187638e-08
1.411491.8209231.270393e-08
1.417631.8208161.353507e-08
1.423781.8207081.436983e-08
1.429971.82061.520821e-08
1.436181.8204921.605023e-08
1.442421.8203841.689591e-08
1.448691.8202751.774526e-08
1.454981.8201661.859831e-08
1.46131.8200561.945505e-08
1.467651.8199472.031553e-08
1.474031.8198372.117974e-08
1.480431.8197262.204770e-08
1.486861.8196162.291943e-08
1.493321.8195052.379496e-08
1.499811.8193942.467428e-08
1.506321.8192822.555742e-08
1.512871.819172.644441e-08
1.519441.8190572.733524e-08
1.526041.8189452.822995e-08
1.532671.8188312.912854e-08
1.539331.8187183.003103e-08
1.546011.8186043.093745e-08
1.552731.8184893.184780e-08
1.559481.8183743.276211e-08
1.566251.8182593.368039e-08
1.573051.8181433.460266e-08
1.579891.8180273.552894e-08
1.586751.817913.645924e-08
1.593641.8177933.739358e-08
1.61.8176853.825500e-08
1.600571.8176753.851410e-08
1.607521.8175574.168634e-08
1.61451.8174384.487236e-08
1.621521.8173194.807223e-08
1.628561.8171995.128599e-08
1.635641.8170795.451372e-08
1.642741.8169585.775547e-08
1.649881.8168366.101130e-08
1.657051.8167146.428128e-08
1.664251.8165926.756546e-08
1.671481.8164687.086391e-08
1.678741.8163457.417668e-08
1.686031.816227.750385e-08
1.693351.8160958.084548e-08
1.700711.8159698.420162e-08
1.70811.8158438.757234e-08
1.715521.8157169.095770e-08
1.722971.8155889.435777e-08
1.730461.8154599.777261e-08
1.737971.815331.012023e-07
1.745521.81521.046469e-07
1.753111.815071.081064e-07
1.760721.8149391.115810e-07
1.768371.8148061.150706e-07
1.776051.8146741.185755e-07
1.783771.814541.220955e-07
1.791521.8144061.256308e-07
1.79931.814271.291815e-07
1.81.8142581.295000e-07
1.807121.8141341.386520e-07
1.814971.8139981.487450e-07
1.822851.813861.588819e-07
1.830771.8137221.690629e-07
1.838731.8135821.792880e-07
1.846711.8134421.895576e-07
1.854741.8133011.998718e-07
1.862791.8131592.102308e-07
1.870891.8130162.206348e-07
1.879011.8128722.310840e-07
1.887181.8127282.415786e-07
1.895371.8125822.521188e-07
1.903611.8124352.627048e-07
1.911881.8122882.733368e-07
1.920181.8121392.840149e-07
1.928531.811992.947395e-07
1.93691.8118393.055106e-07
1.945321.8116873.163285e-07
1.953771.8115353.271935e-07
1.962261.8113813.381056e-07
1.970781.8112263.490651e-07
1.979341.811073.600723e-07
1.987941.8109133.711272e-07
1.996581.8107553.822302e-07
21.8106923.866300e-07
2.005251.8105964.049223e-07
2.013961.8104364.352668e-07
2.022711.8102744.657430e-07
2.03151.8101114.963517e-07
2.040321.8099485.270933e-07
2.049191.8097835.579685e-07
2.058091.8096165.889778e-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
—