Optical constants

Refractive index of Q-LASFH59S (HIKARI)

Q-LASFH59S: 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
1.82098
Extinction coefficient k
3.28468e-08
Permittivity ε1
3.31595
Permittivity ε2
1.19627e-07
Absorption coefficient α
0.0070246 cm⁻¹
Penetration depth δ = λ/(2πk)
2.84714e+09 nm
Abbe number Vd
42.502
Chromatic dispersion dn/dλ
-0.0987385 µm⁻¹
Group index ng
1.879
Group velocity dispersion
184.954 fs²/mm
Dispersion parameter D
-1009.02 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-LASFH59S (HIKARI): Q-LASFH59S
mat = ls.fetch_refractiveindex("specs", "HIKARI-optical", "Q-LASFH59S", 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=3.22581362−0.0128335027⁢λ2.0−9.26420505×10-5⁢λ4.0+0.0304553203⁢λ−2.0+0.000747766899⁢λ−4.0−1.21365984×10-6⁢λ−6.0+1.90023535×10-6⁢λ−8.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C13.22581362
C2-0.0128335027
C32.0
C4-9.26420505e-05
C54.0
C60.0304553203
C7-2.0
C80.000747766899
C9-4.0
C10-1.21365984e-06
C11-6.0
C121.90023535e-06
C13-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: 6.5625e-06 1.3114e-08 -1.2875e-12 8.1211e-07 7.7966e-10 0.20407
nd
1.820980
Vd
42.502165
density
value: 4810
thermal expansion
value: 6e-06, temperature range: 243 343
dPgF
-81.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = 5.59e-06 K⁻¹ at 633 nm, dn/dT = 4.36e-06 K⁻¹ at 1310 nm, dn/dT = 4.26e-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-LASFH59S (HIKARI), Q-LASFH59S: n and k versus wavelength
λ (µm)nk
0.3650151.8709155.061309e-07
0.3666011.8701394.755647e-07
0.3681931.8693724.448658e-07
0.3697931.8686144.140335e-07
0.371.8685174.100400e-07
0.3713991.8678653.897894e-07
0.3730131.8671253.664396e-07
0.3746331.8663943.429884e-07
0.3762611.8656713.194353e-07
0.3778951.8649572.957799e-07
0.3795371.8642512.720217e-07
0.381.8640542.653200e-07
0.3811861.8635532.554572e-07
0.3828421.8628642.416829e-07
0.3845051.8621822.278488e-07
0.3861751.8615092.139546e-07
0.3878531.8608432.000000e-07
0.3895381.8601841.859849e-07
0.391.8600051.821400e-07
0.391231.8595331.765361e-07
0.392931.858891.687927e-07
0.3946371.8582541.610157e-07
0.3963511.8576251.532049e-07
0.3980731.8570031.453602e-07
0.3998021.8563881.374814e-07
0.41.8563181.365800e-07
0.4015391.855781.331097e-07
0.4032831.8551781.291762e-07
0.4050351.8545841.252256e-07
0.4067951.8539961.212579e-07
0.4085621.8534141.172729e-07
0.4103371.8528391.132706e-07
0.412121.852271.092510e-07
0.413911.8517071.052138e-07
0.4157081.8511511.011591e-07
0.4175141.8506019.708685e-08
0.4193281.8500569.299687e-08
0.421.8498569.148100e-08
0.4211491.8495179.028888e-08
0.4229791.8489858.839134e-08
0.4248171.8484588.648556e-08
0.4266621.8479368.457150e-08
0.4285161.847428.264912e-08
0.4303771.846918.071839e-08
0.4322471.8464057.877927e-08
0.4341251.8459057.683173e-08
0.436011.8454117.487573e-08
0.4379051.8449227.291123e-08
0.4398071.8444387.093820e-08
0.441.8443897.073800e-08
0.4417181.8439596.973364e-08
0.4436371.8434856.861155e-08
0.4455641.8430166.748458e-08
0.4474991.8425526.635272e-08
0.4494431.8420936.521594e-08
0.4513961.8416396.407422e-08
0.4533571.8411896.292755e-08
0.4553261.8407446.177589e-08
0.4573041.8403036.061923e-08
0.4592911.8398675.945754e-08
0.461.8397135.904300e-08
0.4612861.8394355.821144e-08
0.463291.8390085.691599e-08
0.4653031.8385855.561492e-08
0.4673241.8381665.430820e-08
0.4693541.8377525.299580e-08
0.4713931.8373425.167769e-08
0.4734411.8369365.035387e-08
0.4754981.8365344.902429e-08
0.4775641.8361364.768893e-08
0.4796381.8357424.634777e-08
0.481.8356744.611400e-08
0.4817221.8353524.558663e-08
0.4838151.8349664.494573e-08
0.4859171.8345834.430206e-08
0.4880271.8342054.365558e-08
0.4901481.833834.300630e-08
0.4922771.8334594.235420e-08
0.4944151.8330914.169926e-08
0.4965631.8327274.104148e-08
0.4987211.8323674.038084e-08
0.51.8321563.998900e-08
0.5008871.832013.982500e-08
0.5030631.8316573.942270e-08
0.5052481.8313073.901866e-08
0.5074431.830963.861287e-08
0.5096481.8306173.820531e-08
0.5118621.8302773.779598e-08
0.5140861.8299413.738487e-08
0.5163191.8296073.697198e-08
0.5185621.8292773.655729e-08
0.5208151.828953.614080e-08
0.5230771.8286263.572250e-08
0.5253491.8283053.530238e-08
0.5276321.8279873.488044e-08
0.5299241.8276733.445667e-08
0.5322261.8273613.403106e-08
0.5345381.8270523.360359e-08
0.536861.8267463.317427e-08
0.5391931.8264433.274309e-08
0.5415351.8261433.231003e-08
0.5438871.8258453.187509e-08
0.546251.825553.143826e-08
0.5486231.8252583.099953e-08
0.551.8250913.074500e-08
0.5510071.8249693.080127e-08
0.55341.8246833.093508e-08
0.5558041.8243993.106947e-08
0.5582191.8241173.120444e-08
0.5606441.8238393.134000e-08
0.563081.8235623.147615e-08
0.5655261.8232893.161289e-08
0.5679821.8230173.175022e-08
0.570451.8227493.188815e-08
0.5729281.8224823.202668e-08
0.5754171.8222193.216581e-08
0.5779171.8219573.230555e-08
0.5804271.8216983.244589e-08
0.5829491.8214413.258684e-08
0.5854811.8211873.272841e-08
0.5880251.8209343.287059e-08
0.5905791.8206843.301339e-08
0.5931451.8204373.315680e-08
0.5957221.8201913.330085e-08
0.598311.8199483.344551e-08
0.61.819793.354000e-08
0.6009091.8197063.368555e-08
0.6035191.8194673.410359e-08
0.6061411.819233.452345e-08
0.6087741.8189953.494514e-08
0.6114191.8187623.536865e-08
0.6140751.8185313.579401e-08
0.6167431.8183023.622121e-08
0.6194221.8180753.665027e-08
0.6221131.817853.708119e-08
0.6248161.8176273.751399e-08
0.627531.8174063.794866e-08
0.6302561.8171873.838523e-08
0.6329941.8169693.882369e-08
0.6357441.8167543.926405e-08
0.6385061.816543.970633e-08
0.641281.8163284.015053e-08
0.6440661.8161184.059666e-08
0.6468641.815914.104473e-08
0.6496741.8157034.149474e-08
0.651.8156794.154700e-08
0.6524961.8154984.254874e-08
0.6553311.8152954.368638e-08
0.6581781.8150934.482896e-08
0.6610371.8148944.597650e-08
0.6639081.8146954.712903e-08
0.6667931.8144994.828656e-08
0.6696891.8143044.944913e-08
0.6725991.814115.061674e-08
0.6755211.8139185.178943e-08
0.6784551.8137285.296721e-08
0.6814031.8135395.415010e-08
0.6843631.8133525.533814e-08
0.6873361.8131665.653133e-08
0.6903221.8129825.772971e-08
0.6933211.8127995.893330e-08
0.6963331.8126186.014212e-08
0.6993581.8124386.135618e-08
0.71.81246.161400e-08
0.7023961.8122596.275310e-08
0.7054471.8120826.420390e-08
0.7085121.8119066.566101e-08
0.711591.8117326.712445e-08
0.7146811.8115596.859424e-08
0.7177861.8113877.007042e-08
0.7209041.8112177.155302e-08
0.7240361.8110487.304205e-08
0.7271811.810887.453755e-08
0.730341.8107137.603955e-08
0.7335131.8105487.754808e-08
0.73671.8103847.906316e-08
0.73991.8102218.058482e-08
0.7431141.8100598.211309e-08
0.7463421.8098998.364800e-08
0.7495851.809748.518957e-08
0.7528411.8095818.673785e-08
0.7561121.8094248.829285e-08
0.7593961.8092698.985460e-08
0.7626951.8091149.142314e-08
0.7660091.808969.299850e-08
0.7693361.8088089.458070e-08
0.7726791.8086569.616977e-08
0.7760351.8085069.776574e-08
0.7794071.8083569.936865e-08
0.7827931.8082081.009785e-07
0.7861931.8080611.025954e-07
0.7896091.8079141.042193e-07
0.7930391.8077691.058502e-07
0.7964841.8076251.074883e-07
0.7999441.8074811.091334e-07
0.81.8074791.091600e-07
0.8034191.8073391.066551e-07
0.8069091.8071981.040981e-07
0.8104151.8070571.015301e-07
0.8139351.8069189.895088e-08
0.8174711.8067799.636046e-08
0.8210231.8066419.375878e-08
0.8245891.8065049.114581e-08
0.8281721.8063688.852148e-08
0.8317691.8062338.588576e-08
0.8353831.8060998.323858e-08
0.8390121.8059658.057990e-08
0.8426571.8058337.790967e-08
0.8463171.8057017.522785e-08
0.8499941.805577.253437e-08
0.8536871.805446.982919e-08
0.8573951.805316.711226e-08
0.861121.8051826.438352e-08
0.8648611.8050546.164294e-08
0.8686181.8049275.889044e-08
0.8723911.80485.612599e-08
0.8761811.8046745.334953e-08
0.8799881.8045495.056101e-08
0.8838111.8044254.776037e-08
0.887651.8043024.494757e-08
0.8915061.8041794.212255e-08
0.8953791.8040563.928525e-08
0.8992691.8039353.643563e-08
0.91.8039123.590000e-08
0.9031751.8038143.628074e-08
0.9070991.8036943.675118e-08
0.911041.8035743.722367e-08
0.9149981.8034553.769820e-08
0.9189721.8033363.817480e-08
0.9229651.8032193.865347e-08
0.9269741.8031013.913422e-08
0.9310011.8029853.961705e-08
0.9350461.8028694.010199e-08
0.9391081.8027534.058903e-08
0.9431881.8026384.107819e-08
0.9472851.8025244.156947e-08
0.95141.802414.206288e-08
0.9555331.8022974.255844e-08
0.9596841.8021844.305615e-08
0.9638531.8020714.355603e-08
0.9680411.8019594.405807e-08
0.9722461.8018484.456230e-08
0.976471.8017374.506872e-08
0.9807121.8016274.557734e-08
0.9849721.8015174.608816e-08
0.9892511.8014074.660121e-08
0.9935491.8012984.711648e-08
0.9978651.801194.763400e-08
11.8011364.789000e-08
1.00221.8010814.767883e-08
1.006551.8009734.726089e-08
1.010931.8008664.684113e-08
1.015321.8007594.641955e-08
1.019731.8006524.599613e-08
1.024161.8005464.557088e-08
1.028611.800444.514378e-08
1.033081.8003354.471483e-08
1.037561.8002294.428401e-08
1.042071.8001254.385132e-08
1.04661.800024.341675e-08
1.051151.7999164.298029e-08
1.055711.7998124.254194e-08
1.06031.7997084.210168e-08
1.06491.7996054.165951e-08
1.069531.7995024.121542e-08
1.074181.79944.076940e-08
1.078841.7992974.032144e-08
1.083531.7991953.987153e-08
1.088241.7990933.941968e-08
1.092961.7989913.896585e-08
1.097711.798893.851006e-08
1.102481.7987893.805229e-08
1.107271.7986883.759253e-08
1.112081.7985873.713077e-08
1.116911.7984863.666700e-08
1.121761.7983863.620122e-08
1.126641.7982863.573342e-08
1.131531.7981863.526358e-08
1.136451.7980863.479170e-08
1.141381.7979873.431778e-08
1.146341.7978873.384179e-08
1.151321.7977883.336374e-08
1.156321.7976893.288361e-08
1.161351.797593.240139e-08
1.166391.7974913.191708e-08
1.171461.7973923.143067e-08
1.176551.7972933.094214e-08
1.181661.7971943.045149e-08
1.186791.7970962.995871e-08
1.191951.7969982.946378e-08
1.197131.7968992.896671e-08
1.21.7968452.869100e-08
1.202331.7968012.900712e-08
1.207551.7967032.971625e-08
1.21281.7966053.042846e-08
1.218071.7965063.114376e-08
1.223361.7964083.186217e-08
1.228671.796313.258370e-08
1.234011.7962123.330836e-08
1.239371.7961143.403618e-08
1.244751.7960163.476715e-08
1.250161.7959183.550130e-08
1.255591.795823.623864e-08
1.261051.7957223.697918e-08
1.266531.7956243.772294e-08
1.272031.7955263.846993e-08
1.277551.7954283.922017e-08
1.28311.795333.997367e-08
1.288681.7952314.073043e-08
1.294281.7951334.149049e-08
1.29991.7950354.225385e-08
1.305551.7949364.302052e-08
1.311221.7948384.379053e-08
1.316911.7947394.456388e-08
1.322641.794644.534059e-08
1.328381.7945414.612067e-08
1.334151.7944424.690414e-08
1.339951.7943434.769102e-08
1.345771.7942444.848131e-08
1.351621.7941444.927504e-08
1.357491.7940455.007222e-08
1.363381.7939455.087286e-08
1.369311.7938455.167697e-08
1.375261.7937455.248458e-08
1.381231.7936455.329570e-08
1.387231.7935445.411034e-08
1.393261.7934445.492853e-08
1.399311.7933435.575026e-08
1.41.7933315.584400e-08
1.405391.7932425.744077e-08
1.411491.793145.924996e-08
1.417631.7930396.106702e-08
1.423781.7929376.289196e-08
1.429971.7928356.472484e-08
1.436181.7927336.656568e-08
1.442421.792636.841451e-08
1.448691.7925277.027138e-08
1.454981.7924247.213631e-08
1.46131.792327.400935e-08
1.467651.7922177.589052e-08
1.474031.7921137.777987e-08
1.480431.7920087.967742e-08
1.486861.7919038.158321e-08
1.493321.7917988.349729e-08
1.499811.7916938.541968e-08
1.506321.7915878.735042e-08
1.512871.7914818.928955e-08
1.519441.7913759.123710e-08
1.526041.7912689.319311e-08
1.532671.791169.515762e-08
1.539331.7910539.713067e-08
1.546011.7909459.911229e-08
1.552731.7908361.011025e-07
1.559481.7907271.031014e-07
1.566251.7906181.051089e-07
1.573051.7905081.071252e-07
1.579891.7903981.091502e-07
1.586751.7902871.111841e-07
1.593641.7901761.132267e-07
1.61.7900741.151100e-07
1.600571.7900641.153979e-07
1.607521.7899521.189225e-07
1.61451.789841.224624e-07
1.621521.7897261.260177e-07
1.628561.7896131.295884e-07
1.635641.7894991.331747e-07
1.642741.7893841.367765e-07
1.649881.7892691.403939e-07
1.657051.7891531.440271e-07
1.664251.7890361.476761e-07
1.671481.7889191.513409e-07
1.678741.7888021.550217e-07
1.686031.7886841.587184e-07
1.693351.7885651.624312e-07
1.700711.7884461.661601e-07
1.70811.7883261.699052e-07
1.715521.7882051.736666e-07
1.722971.7880841.774444e-07
1.730461.7879621.812385e-07
1.737971.7878391.850491e-07
1.745521.7877161.888763e-07
1.753111.7875921.927201e-07
1.760721.7874671.965806e-07
1.768371.7873422.004579e-07
1.776051.7872162.043520e-07
1.783771.7870892.082630e-07
1.791521.7869612.121911e-07
1.79931.7868332.161362e-07
1.81.7868222.164900e-07
1.807121.7867042.242898e-07
1.814971.7865742.328916e-07
1.822851.7864442.415309e-07
1.830771.7863122.502076e-07
1.838731.786182.589220e-07
1.846711.7860472.676743e-07
1.854741.7859132.764646e-07
1.862791.7857782.852931e-07
1.870891.7856432.941600e-07
1.879011.7855063.030654e-07
1.887181.7853693.120094e-07
1.895371.7852313.209924e-07
1.903611.7850923.300143e-07
1.911881.7849523.390754e-07
1.920181.7848113.481759e-07
1.928531.7846693.573160e-07
1.93691.7845263.664957e-07
1.945321.7843833.757153e-07
1.953771.7842383.849750e-07
1.962261.7840923.942749e-07
1.970781.7839464.036152e-07
1.979341.7837984.129961e-07
1.987941.7836494.224177e-07
1.996581.7834994.318802e-07
21.783444.356300e-07
2.005251.7833494.516564e-07
2.013961.7831974.782419e-07
2.022711.7830445.049429e-07
2.03151.782895.317599e-07
2.040321.7827345.586934e-07
2.049191.7825785.857439e-07
2.058091.7824216.129120e-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
—