Optical constants

Refractive index of Q-LASFH11S (HIKARI)

Q-LASFH11S: 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
1.77387
Extinction coefficient k
1.40486e-08
Permittivity ε1
3.1466
Permittivity ε2
4.98408e-08
Absorption coefficient α
0.00300443 cm⁻¹
Penetration depth δ = λ/(2πk)
6.65683e+09 nm
Abbe number Vd
47.252
Chromatic dispersion dn/dλ
-0.0840877 µm⁻¹
Group index ng
1.82328
Group velocity dispersion
153.247 fs²/mm
Dispersion parameter D
-836.045 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-LASFH11S (HIKARI): Q-LASFH11S
mat = ls.fetch_refractiveindex("specs", "HIKARI-optical", "Q-LASFH11S", 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=3.07264726−0.0131831327⁢λ2.0−0.000135807482⁢λ4.0+0.0256144151⁢λ−2.0+0.000499234278⁢λ−4.0+4.16805552×10-6⁢λ−6.0+7.01662918×10-7⁢λ−8.0

Valid from 0.388865 to 2.05809 µm.

Coefficients as stored
CiValue
C13.07264726
C2-0.0131831327
C32.0
C4-0.000135807482
C54.0
C60.0256144151
C7-2.0
C80.000499234278
C9-4.0
C104.16805552e-06
C11-6.0
C127.01662918e-07
C13-8.0

Comments and conditions

For mold lens

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: 7.3177e-06 1.1743e-08 -7.8658e-13 7.4854e-07 1.0807e-09 0.18221
nd
1.773870
Vd
47.252399
density
value: 4640
thermal expansion
value: 6e-06, temperature range: 243 343
dPgF
-0.0094
resistance
phosphate: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = 5.64e-06 K⁻¹ at 633 nm, dn/dT = 4.58e-06 K⁻¹ at 1310 nm, dn/dT = 4.48e-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-LASFH11S (HIKARI), Q-LASFH11S: n and k versus wavelength
λ (µm)nk
0.3888651.8067715.972093e-08
0.391.8064115.637200e-08
0.3904921.8062565.580607e-08
0.3921271.8057465.392774e-08
0.3937681.8052415.204155e-08
0.3954151.8047425.014747e-08
0.397071.8042474.824546e-08
0.3987321.8037584.633549e-08
0.41.803394.487800e-08
0.4004011.8032744.451680e-08
0.4020761.8027954.300604e-08
0.4037591.802324.148895e-08
0.4054491.8018513.996552e-08
0.4071451.8013863.843571e-08
0.4088491.8009263.689949e-08
0.410561.800473.535685e-08
0.4122781.8000193.380775e-08
0.4140041.7995733.225217e-08
0.4157361.799133.069008e-08
0.4174761.7986932.912146e-08
0.4192231.798262.754627e-08
0.421.7980692.684600e-08
0.4209781.7978312.656373e-08
0.4227391.7974062.605511e-08
0.4245091.7969852.554436e-08
0.4262851.7965692.503147e-08
0.4280691.7961572.451644e-08
0.4298611.7957482.399925e-08
0.431661.7953442.347990e-08
0.4334661.7949442.295838e-08
0.435281.7945472.243467e-08
0.4371021.7941552.190877e-08
0.4389311.7937662.138067e-08
0.441.7935412.107200e-08
0.4407681.7933812.082632e-08
0.4426121.7929992.023606e-08
0.4444651.7926221.964332e-08
0.4463251.7922481.904811e-08
0.4481931.7918771.845040e-08
0.4500681.791511.785019e-08
0.4519521.7911471.724747e-08
0.4538431.7907871.664223e-08
0.4557421.7904311.603445e-08
0.457651.7900771.542413e-08
0.4595651.7897281.481126e-08
0.461.7896491.467200e-08
0.4614881.7893811.443421e-08
0.4634191.7890381.412559e-08
0.4653591.7886981.381567e-08
0.4673061.7883611.350446e-08
0.4692621.7880271.319195e-08
0.4712261.7876971.287813e-08
0.4731981.7873691.256300e-08
0.4751781.7870451.224655e-08
0.4771671.7867231.192877e-08
0.4791641.7864051.160967e-08
0.481.7862731.147600e-08
0.4811691.7860891.127086e-08
0.4831821.7857771.091743e-08
0.4852051.7854671.056253e-08
0.4872351.785161.020614e-08
0.4892741.7848569.848252e-09
0.4913221.7845559.488872e-09
0.4933781.7842569.127988e-09
0.4954431.7839618.765593e-09
0.4975161.7836678.401682e-09
0.4995981.7833778.036248e-09
0.51.7833217.965700e-09
0.5016891.7830898.140808e-09
0.5037881.7828048.358500e-09
0.5058971.7825218.577103e-09
0.5080141.7822418.796621e-09
0.510141.7819639.017058e-09
0.5122751.7816889.238417e-09
0.5144191.7814159.460702e-09
0.5165711.7811459.683918e-09
0.5187331.7808779.908067e-09
0.5209041.7806121.013316e-08
0.5230841.7803491.035918e-08
0.5252731.7800881.058616e-08
0.5274711.7798291.081409e-08
0.5296791.7795731.104297e-08
0.5318951.7793191.127280e-08
0.5341211.7790671.150360e-08
0.5363571.7788181.173537e-08
0.5386011.778571.196810e-08
0.5408551.7783251.220181e-08
0.5431191.7780821.243650e-08
0.5453921.7778411.267217e-08
0.5476741.7776021.290882e-08
0.5499661.7773651.314647e-08
0.551.7773611.315000e-08
0.5522681.777131.320419e-08
0.5545791.7768971.325943e-08
0.55691.7766661.331490e-08
0.559231.7764371.337060e-08
0.561571.776211.342653e-08
0.5639211.7759851.348270e-08
0.5662811.7757621.353911e-08
0.568651.7755411.359575e-08
0.571031.7753211.365262e-08
0.573421.7751041.370974e-08
0.575821.7748881.376709e-08
0.5782291.7746741.382468e-08
0.5806491.7744621.388252e-08
0.5830791.7742511.394059e-08
0.5855191.7740431.399891e-08
0.587971.7738361.405748e-08
0.590431.7736311.411628e-08
0.5929011.7734271.417534e-08
0.5953821.7732251.423464e-08
0.5978741.7730251.429419e-08
0.61.7728561.434500e-08
0.6003761.7728261.439305e-08
0.6028891.7726291.471400e-08
0.6054121.7724341.503630e-08
0.6079451.772241.535994e-08
0.610491.7720481.568494e-08
0.6130441.7718571.601129e-08
0.615611.7716681.633902e-08
0.6181861.771481.666811e-08
0.6207731.7712941.699858e-08
0.6233711.7711091.733044e-08
0.625981.7709261.766368e-08
0.62861.7707441.799832e-08
0.631231.7705641.833436e-08
0.6338721.7703851.867180e-08
0.6365251.7702071.901066e-08
0.6391881.7700311.935093e-08
0.6418631.7698561.969263e-08
0.644551.7696832.003576e-08
0.6472471.769512.038033e-08
0.6499561.769342.072633e-08
0.651.7693372.073200e-08
0.6526761.769172.081730e-08
0.6554071.7690022.090438e-08
0.658151.7688352.099182e-08
0.6609041.7686692.107963e-08
0.663671.7685052.116780e-08
0.6664471.7683422.125634e-08
0.6692361.768182.134526e-08
0.6720371.7680192.143455e-08
0.674851.7678592.152421e-08
0.6776741.7677012.161424e-08
0.680511.7675432.170465e-08
0.6833581.7673872.179544e-08
0.6862171.7672322.188661e-08
0.6890891.7670782.197817e-08
0.6919731.7669262.207010e-08
0.6948691.7667742.216242e-08
0.6977771.7666242.225513e-08
0.71.766512.232600e-08
0.7006971.7664742.261635e-08
0.7036291.7663262.383786e-08
0.7065741.7661782.506448e-08
0.7095311.7660322.629623e-08
0.71251.7658872.753314e-08
0.7154821.7657422.877522e-08
0.7184761.7655993.002250e-08
0.7214831.7654573.127500e-08
0.7245021.7653153.253274e-08
0.7275341.7651753.379575e-08
0.7305791.7650363.506404e-08
0.7336371.7648973.633764e-08
0.7367071.764763.761657e-08
0.739791.7646233.890085e-08
0.7428861.7644874.019050e-08
0.7459951.7643524.148555e-08
0.7491171.7642184.278603e-08
0.7522521.7640854.409194e-08
0.75541.7639534.540332e-08
0.7585611.7638224.672019e-08
0.7617361.7636914.804257e-08
0.7649231.7635624.937048e-08
0.7681251.7634335.070395e-08
0.7713391.7633055.204300e-08
0.7745671.7631775.338766e-08
0.7778091.7630515.473794e-08
0.7810641.7629255.609387e-08
0.7843321.76285.745548e-08
0.7876151.7626765.882278e-08
0.7909111.7625536.019581e-08
0.7942211.762436.157459e-08
0.7975441.7623086.295913e-08
0.81.7622196.398200e-08
0.8008821.7621876.367081e-08
0.8042341.7620676.248845e-08
0.8075991.7619476.130115e-08
0.8109791.7618286.010887e-08
0.8143731.7617095.891161e-08
0.8177811.7615925.770934e-08
0.8212041.7614745.650204e-08
0.824641.7613585.528968e-08
0.8280911.7612425.407225e-08
0.8315571.7611275.284972e-08
0.8350371.7610135.162208e-08
0.8385311.7608995.038931e-08
0.8420411.7607854.915137e-08
0.8455641.7606734.790825e-08
0.8491031.7605614.665993e-08
0.8526561.7604494.540638e-08
0.8562251.7603384.414759e-08
0.8598081.7602284.288353e-08
0.8634061.7601184.161419e-08
0.867021.7600094.033952e-08
0.8706481.75993.905953e-08
0.8742921.7597923.777418e-08
0.877951.7596843.648345e-08
0.8816251.7595773.518731e-08
0.8853141.759473.388576e-08
0.8890191.7593643.257875e-08
0.892741.7592583.126628e-08
0.8964761.7591532.994831e-08
0.91.7590552.870500e-08
0.9002271.7590482.865786e-08
0.9039951.7589442.787638e-08
0.9077781.758842.709163e-08
0.9115771.7587372.630360e-08
0.9153921.7586342.551226e-08
0.9192231.7585312.471762e-08
0.9230691.7584292.391965e-08
0.9269321.7583282.311834e-08
0.9308121.7582262.231368e-08
0.9347071.7581252.150565e-08
0.9386191.7580252.069424e-08
0.9425471.7579251.987943e-08
0.9464911.7578251.906121e-08
0.9504521.7577261.823957e-08
0.954431.7576271.741449e-08
0.9584241.7575281.658596e-08
0.9624351.757431.575396e-08
0.9664631.7573321.491848e-08
0.9705071.7572351.407950e-08
0.9745691.7571371.323701e-08
0.9786471.757041.239099e-08
0.9827431.7569441.154144e-08
0.9868551.7568471.068833e-08
0.9909851.7567519.831647e-09
0.9951321.7566568.971381e-09
0.9992971.756568.107514e-09
11.7565447.961700e-09
1.003481.7564658.322290e-09
1.007681.756378.757552e-09
1.01191.7562759.194636e-09
1.016131.7561819.633548e-09
1.020381.7560871.007430e-08
1.024651.7559931.051689e-08
1.028941.7558991.096134e-08
1.033251.7558051.140764e-08
1.037571.7557121.185582e-08
1.041911.7556191.230587e-08
1.046271.7555261.275780e-08
1.050651.7554341.321163e-08
1.055051.7553411.366735e-08
1.059461.7552491.412498e-08
1.06391.7551571.458453e-08
1.068351.7550651.504599e-08
1.072821.7549731.550939e-08
1.077311.7548811.597473e-08
1.081821.754791.644202e-08
1.086351.7546981.691126e-08
1.090891.7546071.738247e-08
1.095461.7545161.785565e-08
1.100041.7544251.833081e-08
1.104651.7543341.880795e-08
1.109271.7542431.928710e-08
1.113911.7541521.976825e-08
1.118571.7540622.025141e-08
1.123251.7539712.073659e-08
1.127961.7538812.122381e-08
1.132681.753792.171306e-08
1.137421.75372.220436e-08
1.142181.753612.269772e-08
1.146961.753522.319314e-08
1.151761.753432.369064e-08
1.156581.7533392.419022e-08
1.161421.7532492.469188e-08
1.166281.7531592.519565e-08
1.171161.7530692.570153e-08
1.176061.7529792.620952e-08
1.180981.7528892.671964e-08
1.185921.7527992.723189e-08
1.190891.7527092.774629e-08
1.195871.7526192.826284e-08
1.21.7525442.869100e-08
1.200871.7525292.871189e-08
1.20591.7524392.883205e-08
1.210951.7523482.895271e-08
1.216011.7522582.907388e-08
1.22111.7521682.919556e-08
1.226211.7520782.931775e-08
1.231341.7519872.944044e-08
1.23651.7518972.956365e-08
1.241671.7518062.968738e-08
1.246871.7517152.981162e-08
1.252091.7516252.993639e-08
1.257331.7515343.006167e-08
1.262591.7514433.018748e-08
1.267871.7513523.031382e-08
1.273181.7512613.044068e-08
1.278511.7511693.056808e-08
1.283861.7510783.069601e-08
1.289231.7509863.082447e-08
1.294621.7508943.095348e-08
1.300041.7508033.108302e-08
1.305481.750713.121310e-08
1.310951.7506183.134373e-08
1.316431.7505263.147491e-08
1.321941.7504333.160663e-08
1.327471.750343.173891e-08
1.333031.7502473.187174e-08
1.338611.7501543.200512e-08
1.344211.7500613.213906e-08
1.349841.7499673.227357e-08
1.355481.7498733.240863e-08
1.361161.7497793.254427e-08
1.366851.7496853.268047e-08
1.372571.749593.281724e-08
1.378321.7494953.295458e-08
1.384091.74943.309249e-08
1.389881.7493053.323099e-08
1.395691.7492093.337006e-08
1.41.7491393.347300e-08
1.401541.7491133.400124e-08
1.40741.7490173.601882e-08
1.413291.7489213.804485e-08
1.419211.7488244.007935e-08
1.425141.7487274.212237e-08
1.431111.7486294.417394e-08
1.43711.7485314.623410e-08
1.443111.7484334.830287e-08
1.449151.7483355.038031e-08
1.455221.7482365.246644e-08
1.461311.7481375.456130e-08
1.467421.7480375.666492e-08
1.473561.7479375.877735e-08
1.479731.7478376.089862e-08
1.485921.7477366.302877e-08
1.492141.7476356.516783e-08
1.498381.7475336.731584e-08
1.504661.7474316.947284e-08
1.510951.7473297.163887e-08
1.517281.7472267.381397e-08
1.523631.7471237.599816e-08
1.531.7470197.819150e-08
1.53641.7469158.039402e-08
1.542831.746818.260575e-08
1.549291.7467058.482674e-08
1.555771.74668.705703e-08
1.562291.7464948.929664e-08
1.568821.7463879.154563e-08
1.575391.746289.380404e-08
1.581981.7461739.607189e-08
1.58861.7460649.834923e-08
1.595251.7459561.006361e-07
1.61.7458781.022700e-07
1.601931.7458471.039313e-07
1.608631.7457371.097134e-07
1.615361.7456271.155198e-07
1.622121.7455161.213504e-07
1.628911.7454041.272055e-07
1.635731.7452921.330850e-07
1.642571.745181.389892e-07
1.649451.7450671.449180e-07
1.656351.7449531.508717e-07
1.663281.7448381.568503e-07
1.670241.7447231.628539e-07
1.677231.7446081.688827e-07
1.684251.7444911.749366e-07
1.69131.7443741.810159e-07
1.698381.7442571.871207e-07
1.705491.7441381.932510e-07
1.712621.7440191.994069e-07
1.719791.7438992.055886e-07
1.726991.7437792.117962e-07
1.734211.7436582.180298e-07
1.741471.7435362.242894e-07
1.748761.7434132.305753e-07
1.756081.743292.368874e-07
1.763431.7431662.432260e-07
1.770811.7430412.495911e-07
1.778221.7429152.559828e-07
1.785661.7427892.624013e-07
1.793131.7426622.688466e-07
1.81.7425452.747700e-07
1.800641.7425342.758050e-07
1.808171.7424052.880604e-07
1.815741.7422753.003671e-07
1.823341.7421453.127253e-07
1.830971.7420133.251352e-07
1.838631.7418813.375971e-07
1.846331.7417483.501111e-07
1.854051.7416143.626775e-07
1.861811.7414793.752964e-07
1.86961.7413433.879682e-07
1.877431.7412074.006930e-07
1.885281.7410694.134711e-07
1.893171.740934.263026e-07
1.90111.7407914.391879e-07
1.909051.740654.521270e-07
1.917041.7405094.651203e-07
1.925061.7403664.781680e-07
1.933121.7402234.912703e-07
1.941211.7400795.044274e-07
1.949331.7399335.176396e-07
1.957491.7397875.309070e-07
1.965681.7396395.442300e-07
1.973911.739495.576088e-07
1.982171.7393415.710435e-07
1.990471.739195.845345e-07
1.99881.7390385.980819e-07
21.7390166.000400e-07
2.007161.7388856.321871e-07
2.015561.7387316.698965e-07
2.0241.7385767.077636e-07
2.032471.7384197.457892e-07
2.040971.7382627.839739e-07
2.049511.7381038.223184e-07
2.058091.7379438.608234e-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
—