Optical constants

Refractive index of Q-LASFH12S (HIKARI)

Q-LASFH12S: n,k 0.3889–2.058 µm

Data
formula 3 + tabulated k
Range
0.3889–2.058 µm
Temperature
296 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.3889–2.058 µm
Refractive index n
1.79063
Extinction coefficient k
1.76522e-08
Permittivity ε1
3.20634
Permittivity ε2
6.32171e-08
Absorption coefficient α
0.00377509 cm⁻¹
Penetration depth δ = λ/(2πk)
5.29788e+09 nm
Abbe number Vd
44.985
Chromatic dispersion dn/dλ
-0.090065 µm⁻¹
Group index ng
1.84355
Group velocity dispersion
166.198 fs²/mm
Dispersion parameter D
-906.697 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-LASFH12S (HIKARI): Q-LASFH12S
mat = ls.fetch_refractiveindex("specs", "HIKARI-optical", "Q-LASFH12S", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mat.range_nm)  # (388.865, 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=3.12617289−0.0131750117⁢λ2.0−5.65591169×10-5⁢λ4.0+0.027406042⁢λ−2.0+0.000635024687⁢λ−4.0−3.03984369×10-6⁢λ−6.0+1.4020084×10-6⁢λ−8.0

Valid from 0.388865 to 2.05809 µm.

Coefficients as stored
CiValue
C13.12617289
C2-0.0131750117
C32.0
C4-5.65591169e-05
C54.0
C60.027406042
C7-2.0
C80.000635024687
C9-4.0
C10-3.03984369e-06
C11-6.0
C121.4020084e-06
C13-8.0

Comments and conditions

For mold lens

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: 6.8374e-06 1.1824e-08 -1.6343e-12 8.1436e-07 9.5581e-10 0.18204
nd
1.790630
Vd
44.984543
density
value: 4680
thermal expansion
value: 5.8e-06, temperature range: 243 343
dPgF
-0.0093
resistance
phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = 5.56e-06 K⁻¹ at 633 nm, dn/dT = 4.39e-06 K⁻¹ at 1310 nm, dn/dT = 4.29e-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 419 wavelengths, the same grid as the API and the library
Q-LASFH12S (HIKARI), Q-LASFH12S: n and k versus wavelength
λ (µm)nk
0.3888651.8261969.960434e-08
0.391.8258039.453100e-08
0.3904921.8256349.336305e-08
0.3921271.8250798.948660e-08
0.3937681.8245298.559394e-08
0.3954151.8239858.168498e-08
0.397071.8234477.775967e-08
0.3987321.8229147.381793e-08
0.41.8225137.081000e-08
0.4004011.8223877.040345e-08
0.4020761.8218666.870300e-08
0.4037591.821356.699544e-08
0.4054491.8208396.528073e-08
0.4071451.8203346.355885e-08
0.4088491.8198336.182976e-08
0.410561.8193386.009343e-08
0.4122781.8188485.834984e-08
0.4140041.8183635.659894e-08
0.4157361.8178835.484073e-08
0.4174761.8174085.307515e-08
0.4192231.8169385.130219e-08
0.421.8167315.051400e-08
0.4209781.8164724.993787e-08
0.4227391.8160124.889976e-08
0.4245091.8155554.785730e-08
0.4262851.8151044.681047e-08
0.4280691.8146574.575927e-08
0.4298611.8142144.470366e-08
0.431661.8137764.364364e-08
0.4334661.8133424.257918e-08
0.435281.8129134.151027e-08
0.4371021.8124874.043688e-08
0.4389311.8120663.935900e-08
0.441.8118233.872900e-08
0.4407681.8116493.837097e-08
0.4426121.8112363.751075e-08
0.4444651.8108283.664693e-08
0.4463251.8104233.577949e-08
0.4481931.8100223.490843e-08
0.4500681.8096253.403372e-08
0.4519521.8092323.315534e-08
0.4538431.8088433.227330e-08
0.4557421.8084573.138756e-08
0.457651.8080753.049811e-08
0.4595651.8076972.960495e-08
0.461.8076122.940200e-08
0.4614881.8073232.892470e-08
0.4634191.8069522.830524e-08
0.4653591.8065852.768319e-08
0.4673061.8062212.705853e-08
0.4692621.8058612.643126e-08
0.4712261.8055042.580136e-08
0.4731981.805152.516882e-08
0.4751781.80482.453364e-08
0.4771671.8044532.389581e-08
0.4791641.8041092.325530e-08
0.481.8039672.298700e-08
0.4811691.8037692.257558e-08
0.4831821.8034322.186678e-08
0.4852051.8030982.115500e-08
0.4872351.8027672.044025e-08
0.4892741.8024391.972251e-08
0.4913221.8021141.900176e-08
0.4933781.8017921.827800e-08
0.4954431.8014731.755121e-08
0.4975161.8011571.682137e-08
0.4995981.8008441.608849e-08
0.51.8007841.594700e-08
0.5016891.8005341.585253e-08
0.5037881.8002271.573508e-08
0.5058971.7999231.561714e-08
0.5080141.7996211.549871e-08
0.510141.7993221.537978e-08
0.5122751.7990261.526035e-08
0.5144191.7987321.514043e-08
0.5165711.7984411.502000e-08
0.5187331.7981531.489907e-08
0.5209041.7978671.477763e-08
0.5230841.7975841.465568e-08
0.5252731.7973041.453323e-08
0.5274711.7970261.441026e-08
0.5296791.796751.428677e-08
0.5318951.7964771.416277e-08
0.5341211.7962071.403825e-08
0.5363571.7959381.391321e-08
0.5386011.7956721.378765e-08
0.5408551.7954091.366156e-08
0.5431191.7951481.353494e-08
0.5453921.7948891.340780e-08
0.5476741.7946321.328012e-08
0.5499661.7943781.315191e-08
0.551.7943741.315000e-08
0.5522681.7941261.342151e-08
0.5545791.7938761.369825e-08
0.55691.7936281.397615e-08
0.559231.7933821.425522e-08
0.561571.7931391.453545e-08
0.5639211.7928971.481686e-08
0.5662811.7926581.509944e-08
0.568651.792421.538320e-08
0.571031.7921851.566816e-08
0.573421.7919521.595430e-08
0.575821.7917211.624164e-08
0.5782291.7914911.653019e-08
0.5806491.7912641.681994e-08
0.5830791.7910391.711091e-08
0.5855191.7908151.740309e-08
0.587971.7905931.769649e-08
0.590431.7903741.799113e-08
0.5929011.7901561.828699e-08
0.5953821.7899391.858410e-08
0.5978741.7897251.888245e-08
0.61.7895441.913700e-08
0.6003761.7895121.918809e-08
0.6028891.7893021.952934e-08
0.6054121.7890931.987202e-08
0.6079451.7888852.021614e-08
0.610491.788682.056169e-08
0.6130441.7884762.090869e-08
0.615611.7882732.125714e-08
0.6181861.7880732.160706e-08
0.6207731.7878742.195843e-08
0.6233711.7876762.231128e-08
0.625981.787482.266560e-08
0.62861.7872862.302140e-08
0.631231.7870932.337870e-08
0.6338721.7869022.373749e-08
0.6365251.7867132.409778e-08
0.6391881.7865252.445958e-08
0.6418631.7863382.482289e-08
0.644551.7861532.518772e-08
0.6472471.7859692.555408e-08
0.6499561.7857872.592197e-08
0.651.7857842.592800e-08
0.6526761.7856062.603470e-08
0.6554071.7854272.614363e-08
0.658151.7852482.625302e-08
0.6609041.7850722.636286e-08
0.663671.7848972.647316e-08
0.6664471.7847232.658392e-08
0.6692361.784552.669515e-08
0.6720371.7843792.680684e-08
0.674851.7842092.691900e-08
0.6776741.784042.703163e-08
0.680511.7838722.714473e-08
0.6833581.7837062.725830e-08
0.6862171.7835412.737235e-08
0.6890891.7833782.748688e-08
0.6919731.7832152.760189e-08
0.6948691.7830542.771737e-08
0.6977771.7828942.783334e-08
0.71.7827722.792200e-08
0.7006971.7827352.821820e-08
0.7036291.7825772.946427e-08
0.7065741.782423.071557e-08
0.7095311.7822653.197210e-08
0.71251.782113.323389e-08
0.7154821.7819573.450096e-08
0.7184761.7818053.577333e-08
0.7214831.7816543.705103e-08
0.7245021.7815043.833407e-08
0.7275341.7813553.962249e-08
0.7305791.7812074.091629e-08
0.7336371.781064.221551e-08
0.7367071.7809144.352017e-08
0.739791.7807694.483029e-08
0.7428861.7806254.614589e-08
0.7459951.7804824.746699e-08
0.7491171.780344.879362e-08
0.7522521.7801995.012581e-08
0.75541.7800595.146357e-08
0.7585611.779925.280693e-08
0.7617361.7797825.415591e-08
0.7649231.7796455.551054e-08
0.7681251.7795085.687084e-08
0.7713391.7793735.823682e-08
0.7745671.7792385.960853e-08
0.7778091.7791056.098598e-08
0.7810641.7789726.236919e-08
0.7843321.778846.375818e-08
0.7876151.7787096.515300e-08
0.7909111.7785786.655364e-08
0.7942211.7784496.796016e-08
0.7975441.778326.937255e-08
0.81.7782267.041600e-08
0.8008821.7781926.998465e-08
0.8042341.7780656.834577e-08
0.8075991.7779386.670003e-08
0.8109791.7778136.504740e-08
0.8143731.7776886.338786e-08
0.8177811.7775646.172137e-08
0.8212041.777446.004790e-08
0.824641.7773185.836744e-08
0.8280911.7771965.667994e-08
0.8315571.7770755.498538e-08
0.8350371.7769545.328373e-08
0.8385311.7768345.157495e-08
0.8420411.7767154.985903e-08
0.8455641.7765964.813592e-08
0.8491031.7764784.640561e-08
0.8526561.7763614.466805e-08
0.8562251.7762454.292322e-08
0.8598081.7761294.117109e-08
0.8634061.7760133.941162e-08
0.867021.7758993.764480e-08
0.8706481.7757843.587057e-08
0.8742921.7756713.408893e-08
0.877951.7755583.229983e-08
0.8816251.7754453.050324e-08
0.8853141.7753342.869913e-08
0.8890191.7752222.688747e-08
0.892741.7751122.506823e-08
0.8964761.7750012.324138e-08
0.91.7748982.151800e-08
0.9002271.7748922.148719e-08
0.9039951.7747832.097647e-08
0.9077781.7746742.046362e-08
0.9115771.7745661.994862e-08
0.9153921.7744581.943146e-08
0.9192231.7743511.891214e-08
0.9230691.7742441.839065e-08
0.9269321.7741381.786697e-08
0.9308121.7740321.734110e-08
0.9347071.7739271.681303e-08
0.9386191.7738221.628275e-08
0.9425471.7737181.575025e-08
0.9464911.7736141.521553e-08
0.9504521.773511.467856e-08
0.954431.7734071.413935e-08
0.9584241.7733051.359788e-08
0.9624351.7732021.305415e-08
0.9664631.77311.250814e-08
0.9705071.7729991.195984e-08
0.9745691.7728981.140926e-08
0.9786471.7727971.085636e-08
0.9827431.7726961.030116e-08
0.9868551.7725969.743624e-09
0.9909851.7724969.183760e-09
0.9951321.7723978.621553e-09
0.9992971.7722988.056994e-09
11.7722817.961700e-09
1.003481.7721998.155766e-09
1.007681.7721018.390020e-09
1.01191.7720038.625254e-09
1.016131.7719058.861472e-09
1.020381.7718079.098679e-09
1.024651.771719.336879e-09
1.028941.7716139.576075e-09
1.033251.7715169.816273e-09
1.037571.771421.005748e-08
1.041911.7713231.029969e-08
1.046271.7712271.054291e-08
1.050651.7711321.078716e-08
1.055051.7710361.103242e-08
1.059461.7709411.127871e-08
1.06391.7708461.152604e-08
1.068351.7707511.177440e-08
1.072821.7706561.202379e-08
1.077311.7705621.227423e-08
1.081821.7704681.252572e-08
1.086351.7703741.277826e-08
1.090891.770281.303186e-08
1.095461.7701861.328652e-08
1.100041.7700931.354225e-08
1.104651.7699991.379904e-08
1.109271.7699061.405691e-08
1.113911.7698131.431586e-08
1.118571.769721.457590e-08
1.123251.7696271.483702e-08
1.127961.7695341.509923e-08
1.132681.7694421.536254e-08
1.137421.7693491.562696e-08
1.142181.7692571.589248e-08
1.146961.7691641.615911e-08
1.151761.7690721.642686e-08
1.156581.768981.669572e-08
1.161421.7688881.696572e-08
1.166281.7687961.723684e-08
1.171161.7687041.750910e-08
1.176061.7686121.778249e-08
1.180981.768521.805703e-08
1.185921.7684281.833272e-08
1.190891.7683361.860957e-08
1.195871.7682451.888757e-08
1.21.7681691.911800e-08
1.200871.7681531.913192e-08
1.20591.7680611.921197e-08
1.210951.7679691.929237e-08
1.216011.7678781.937310e-08
1.22111.7677861.945416e-08
1.226211.7676941.953557e-08
1.231341.7676021.961731e-08
1.23651.767511.969940e-08
1.241671.7674191.978184e-08
1.246871.7673271.986461e-08
1.252091.7672351.994774e-08
1.257331.7671432.003121e-08
1.262591.7670512.011503e-08
1.267871.7669582.019920e-08
1.273181.7668662.028372e-08
1.278511.7667742.036860e-08
1.283861.7666812.045383e-08
1.289231.7665892.053942e-08
1.294621.7664962.062537e-08
1.300041.7664042.071168e-08
1.305481.7663112.079835e-08
1.310951.7662182.088538e-08
1.316431.7661252.097277e-08
1.321941.7660312.106053e-08
1.327471.7659382.114866e-08
1.333031.7658442.123716e-08
1.338611.7657512.132603e-08
1.344211.7656572.141527e-08
1.349841.7655632.150488e-08
1.355481.7654682.159487e-08
1.361161.7653742.168523e-08
1.366851.7652792.177598e-08
1.372571.7651852.186710e-08
1.378321.765092.195860e-08
1.384091.7649942.205049e-08
1.389881.7648992.214276e-08
1.395691.7648032.223542e-08
1.41.7647322.230400e-08
1.401541.7647072.272108e-08
1.40741.7646112.431410e-08
1.413291.7645142.591379e-08
1.419211.7644182.752017e-08
1.425141.7643212.913328e-08
1.431111.7642243.075314e-08
1.43711.7641263.237977e-08
1.443111.7640283.401321e-08
1.449151.763933.565349e-08
1.455221.7638323.730064e-08
1.461311.7637333.895467e-08
1.467421.7636344.061563e-08
1.473561.7635354.228354e-08
1.479731.7634354.395843e-08
1.485921.7633354.564033e-08
1.492141.7632344.732926e-08
1.498381.7631344.902527e-08
1.504661.7630335.072837e-08
1.510951.7629315.243860e-08
1.517281.7628295.415599e-08
1.523631.7627275.588056e-08
1.531.7626245.761236e-08
1.53641.7625215.935140e-08
1.542831.7624186.109771e-08
1.549291.7623146.285134e-08
1.555771.762216.461230e-08
1.562291.7621056.638064e-08
1.568821.7626.815637e-08
1.575391.7618946.993954e-08
1.581981.7617887.173016e-08
1.58861.7616827.352828e-08
1.595251.7615757.533393e-08
1.61.7614987.662400e-08
1.601931.7614677.797099e-08
1.608631.7613598.265926e-08
1.615361.7612518.736715e-08
1.622121.7611429.209474e-08
1.628911.7610339.684211e-08
1.635731.7609231.016094e-07
1.642571.7608121.063965e-07
1.649451.7607011.112038e-07
1.656351.7605891.160311e-07
1.663281.7604771.208787e-07
1.670241.7603651.257465e-07
1.677231.7602511.306347e-07
1.684251.7601381.355434e-07
1.69131.7600231.404726e-07
1.698381.7599081.454224e-07
1.705491.7597921.503930e-07
1.712621.7596761.553843e-07
1.719791.7595591.603965e-07
1.726991.7594421.654298e-07
1.734211.7593241.704840e-07
1.741471.7592051.755595e-07
1.748761.7590861.806561e-07
1.756081.7589651.857741e-07
1.763431.7588451.909135e-07
1.770811.7587231.960745e-07
1.778221.7586012.012570e-07
1.785661.7584782.064612e-07
1.793131.7583552.116872e-07
1.81.7582412.164900e-07
1.800641.758232.174482e-07
1.808171.7581052.287941e-07
1.815741.757982.401874e-07
1.823341.7578532.516285e-07
1.830971.7577262.631174e-07
1.838631.7575982.746544e-07
1.846331.7574692.862396e-07
1.854051.7573392.978734e-07
1.861811.7572093.095559e-07
1.86961.7570783.212872e-07
1.877431.7569463.330676e-07
1.885281.7568133.448973e-07
1.893171.7566793.567766e-07
1.90111.7565453.687055e-07
1.909051.7564093.806844e-07
1.917041.7562733.927134e-07
1.925061.7561364.047928e-07
1.933121.7559984.169227e-07
1.941211.7558594.291033e-07
1.949331.7557194.413349e-07
1.957491.7555784.536178e-07
1.965681.7554364.659520e-07
1.973911.7552944.783378e-07
1.982171.755154.907755e-07
1.990471.7550055.032652e-07
1.99881.754865.158072e-07
21.7548395.176200e-07
2.007161.7547135.412142e-07
2.015561.7545665.688908e-07
2.0241.7544175.966832e-07
2.032471.7542676.245919e-07
2.040971.7541176.526174e-07
2.049511.7539656.807602e-07
2.058091.7538127.090207e-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
—