Optical constants

Refractive index of Q-LASFPH3S (HIKARI)

Q-LASFPH3S: 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
1.79525
Extinction coefficient k
3.28468e-08
Permittivity ε1
3.22293
Permittivity ε2
1.17937e-07
Absorption coefficient α
0.0070246 cm⁻¹
Penetration depth δ = λ/(2πk)
2.84714e+09 nm
Abbe number Vd
45.253
Chromatic dispersion dn/dλ
-0.0900919 µm⁻¹
Group index ng
1.84819
Group velocity dispersion
165.76 fs²/mm
Dispersion parameter D
-904.311 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-LASFPH3S (HIKARI): Q-LASFPH3S
mat = ls.fetch_refractiveindex("specs", "HIKARI-optical", "Q-LASFPH3S", 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=3.14195165−0.0129889243⁢λ2.0−0.000159736617⁢λ4.0+0.0279148154⁢λ−2.0+0.000509887221⁢λ−4.0+1.32658761×10-5⁢λ−6.0+5.1483904×10-7⁢λ−8.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C13.14195165
C2-0.0129889243
C32.0
C4-0.000159736617
C54.0
C60.0279148154
C7-2.0
C80.000509887221
C9-4.0
C101.32658761e-05
C11-6.0
C125.1483904e-07
C13-8.0

Comments and conditions

For mold lens

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: 7.214769e-06 1.384106e-08 2.397527e-12 7.530988e-07 4.214031e-10 0.1880134
nd
1.795256
Vd
45.252757
density
value: 4830
thermal expansion
value: 5.9e-06, temperature range: 243 343
dPgF
-0.0095
resistance
phosphate: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = 5.72e-06 K⁻¹ at 633 nm, dn/dT = 4.62e-06 K⁻¹ at 1310 nm, dn/dT = 4.52e-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-LASFPH3S (HIKARI), Q-LASFPH3S: n and k versus wavelength
λ (µm)nk
0.3650151.8400273.382589e-07
0.3666011.8393433.148823e-07
0.3681931.8386662.914042e-07
0.3697931.8379982.678241e-07
0.371.8379122.647700e-07
0.3713991.8373362.521064e-07
0.3730131.8366832.375047e-07
0.3746331.8360372.228396e-07
0.3762611.8353972.081108e-07
0.3778951.8347661.933180e-07
0.3795371.8341411.784609e-07
0.381.8339661.742700e-07
0.3811861.8335231.690125e-07
0.3828421.8329121.616700e-07
0.3845051.8323071.542956e-07
0.3861751.831711.468891e-07
0.3878531.8311191.394505e-07
0.3895381.8305341.319795e-07
0.391.8303751.299300e-07
0.391231.8299561.262781e-07
0.392931.8293841.212320e-07
0.3946371.8288181.161640e-07
0.3963511.8282591.110739e-07
0.3980731.8277051.059618e-07
0.3998021.8271581.008274e-07
0.41.8270961.002400e-07
0.4015391.8266169.798502e-08
0.4032831.826089.542907e-08
0.4050351.825559.286201e-08
0.4067951.8250269.028380e-08
0.4085621.8245078.769440e-08
0.4103371.8239948.509374e-08
0.412121.8234868.248179e-08
0.413911.8229837.985848e-08
0.4157081.8224867.722379e-08
0.4175141.8219947.457764e-08
0.4193281.8215077.192000e-08
0.421.8213287.093500e-08
0.4211491.8210257.030863e-08
0.4229791.8205496.931160e-08
0.4248171.8200776.831024e-08
0.4266621.819616.730454e-08
0.4285161.8191486.629446e-08
0.4303771.8186916.528000e-08
0.4322471.8182386.426113e-08
0.4341251.817796.323783e-08
0.436011.8173476.221009e-08
0.4379051.8169086.117788e-08
0.4398071.8164746.014119e-08
0.441.816436.003600e-08
0.4417181.8160445.899368e-08
0.4436371.8156185.782918e-08
0.4455641.8151975.665962e-08
0.4474991.814785.548498e-08
0.4494431.8143675.430524e-08
0.4513961.8139595.312037e-08
0.4533571.8135545.193036e-08
0.4553261.8131545.073517e-08
0.4573041.8127574.953480e-08
0.4592911.8123654.832921e-08
0.461.8122264.789900e-08
0.4612861.8119764.728734e-08
0.463291.8115914.633447e-08
0.4653031.8112114.537746e-08
0.4673241.8108334.441629e-08
0.4693541.810464.345095e-08
0.4713931.810094.248141e-08
0.4734411.8097244.150766e-08
0.4754981.8093614.052968e-08
0.4775641.8090023.954745e-08
0.4796381.8086473.856095e-08
0.481.8085853.838900e-08
0.4817221.8082953.783537e-08
0.4838151.8079463.716256e-08
0.4859171.8076013.648683e-08
0.4880271.8072593.580816e-08
0.4901481.806923.512655e-08
0.4922771.8065853.444197e-08
0.4944151.8062533.375443e-08
0.4965631.8059243.306389e-08
0.4987211.8055983.237035e-08
0.51.8054073.195900e-08
0.5008871.8052753.193746e-08
0.5030631.8049553.188463e-08
0.5052481.8046393.183157e-08
0.5074431.8043253.177827e-08
0.5096481.8040143.172475e-08
0.5118621.8037063.167099e-08
0.5140861.8034013.161700e-08
0.5163191.8030993.156278e-08
0.5185621.80283.150832e-08
0.5208151.8025043.145362e-08
0.5230771.802213.139869e-08
0.5253491.8019193.134351e-08
0.5276321.8016313.128810e-08
0.5299241.8013453.123245e-08
0.5322261.8010623.117655e-08
0.5345381.8007823.112041e-08
0.536861.8005043.106403e-08
0.5391931.8002293.100741e-08
0.5415351.7999563.095053e-08
0.5438871.7996863.089341e-08
0.546251.7994183.083604e-08
0.5486231.7991523.077843e-08
0.551.7993.074500e-08
0.5510071.7988893.080127e-08
0.55341.7986293.093508e-08
0.5558041.798373.106947e-08
0.5582191.7981153.120444e-08
0.5606441.7978613.134000e-08
0.563081.7976093.147615e-08
0.5655261.797363.161289e-08
0.5679821.7971133.175022e-08
0.570451.7968693.188815e-08
0.5729281.7966263.202668e-08
0.5754171.7963853.216581e-08
0.5779171.7961473.230555e-08
0.5804271.7959113.244589e-08
0.5829491.7956773.258684e-08
0.5854811.7954443.272841e-08
0.5880251.7952143.287059e-08
0.5905791.7949863.301339e-08
0.5931451.794763.315680e-08
0.5957221.7945363.330085e-08
0.598311.7943133.344551e-08
0.61.794173.354000e-08
0.6009091.7940933.359081e-08
0.6035191.7938753.373673e-08
0.6061411.7936583.388329e-08
0.6087741.7934433.403049e-08
0.6114191.793233.417833e-08
0.6140751.7930193.432681e-08
0.6167431.792813.447593e-08
0.6194221.7926023.462570e-08
0.6221131.7923963.477612e-08
0.6248161.7921923.492720e-08
0.627531.7919893.507893e-08
0.6302561.7917883.523132e-08
0.6329941.7915893.538437e-08
0.6357441.7913923.553809e-08
0.6385061.7911963.569248e-08
0.641281.7910023.584754e-08
0.6440661.7908093.600327e-08
0.6468641.7906183.615967e-08
0.6496741.7904283.631676e-08
0.651.7904063.633500e-08
0.6524961.790243.675473e-08
0.6553311.7900533.723139e-08
0.6581781.7898683.771013e-08
0.6610371.7896853.819094e-08
0.6639081.7895033.867385e-08
0.6667931.7893223.915885e-08
0.6696891.7891433.964596e-08
0.6725991.7889654.013519e-08
0.6755211.7887884.062654e-08
0.6784551.7886134.112002e-08
0.6814031.788444.161565e-08
0.6843631.7882674.211344e-08
0.6873361.7880964.261338e-08
0.6903221.7879264.311550e-08
0.6933211.7877584.361980e-08
0.6963331.7875914.412629e-08
0.6993581.7874254.463497e-08
0.71.787394.474300e-08
0.7023961.787264.597618e-08
0.7054471.7870974.754681e-08
0.7085121.7869354.912427e-08
0.711591.7867745.070858e-08
0.7146811.7866145.229977e-08
0.7177861.7864555.389787e-08
0.7209041.7862985.550292e-08
0.7240361.7861425.711494e-08
0.7271811.7859875.873396e-08
0.730341.7858336.036001e-08
0.7335131.785686.199313e-08
0.73671.7855286.363335e-08
0.73991.7853776.528069e-08
0.7431141.7852276.693518e-08
0.7463421.7850796.859686e-08
0.7495851.7849317.026577e-08
0.7528411.7847857.194192e-08
0.7561121.7846397.362535e-08
0.7593961.7844957.531610e-08
0.7626951.7843517.701419e-08
0.7660091.7842087.871966e-08
0.7693361.7840678.043254e-08
0.7726791.7839268.215286e-08
0.7760351.7837868.388065e-08
0.7794071.7836488.561595e-08
0.7827931.783518.735879e-08
0.7861931.7833738.910919e-08
0.7896091.7832379.086721e-08
0.7930391.7831029.263286e-08
0.7964841.7829679.440618e-08
0.7999441.7828349.618720e-08
0.81.7828329.621600e-08
0.8034191.7827019.489311e-08
0.8069091.7825699.354274e-08
0.8104151.7824389.218650e-08
0.8139351.7823089.082437e-08
0.8174711.7821798.945632e-08
0.8210231.782058.808232e-08
0.8245891.7819238.670236e-08
0.8281721.7817958.531641e-08
0.8317691.7816698.392443e-08
0.8353831.7815448.252640e-08
0.8390121.7814198.112231e-08
0.8426571.7812957.971211e-08
0.8463171.7811717.829578e-08
0.8499941.7810497.687331e-08
0.8536871.7809277.544465e-08
0.8573951.7808067.400979e-08
0.861121.7806857.256869e-08
0.8648611.7805657.112133e-08
0.8686181.7804466.966769e-08
0.8723911.7803276.820773e-08
0.8761811.7802096.674143e-08
0.8799881.7800926.526876e-08
0.8838111.7799756.378969e-08
0.887651.7798596.230419e-08
0.8915061.7797436.081224e-08
0.8953791.7796285.931382e-08
0.8992691.7795135.780888e-08
0.91.7794925.752600e-08
0.9031751.77945.747437e-08
0.9070991.7792865.741057e-08
0.911041.7791735.734649e-08
0.9149981.7790615.728214e-08
0.9189721.7789495.721751e-08
0.9229651.7788385.715259e-08
0.9269741.7787275.708740e-08
0.9310011.7786175.702192e-08
0.9350461.7785075.695616e-08
0.9391081.7783985.689011e-08
0.9431881.7782895.682377e-08
0.9472851.7781815.675715e-08
0.95141.7780735.669023e-08
0.9555331.7779665.662303e-08
0.9596841.7778595.655553e-08
0.9638531.7777525.648774e-08
0.9680411.7776465.641966e-08
0.9722461.777545.635128e-08
0.976471.7774355.628260e-08
0.9807121.777335.621363e-08
0.9849721.7772255.614435e-08
0.9892511.7771215.607478e-08
0.9935491.7770175.600490e-08
0.9978651.7769145.593472e-08
11.7768635.590000e-08
1.00221.7768115.539024e-08
1.006551.7767085.438133e-08
1.010931.7766055.336805e-08
1.015321.7765035.235036e-08
1.019731.7764015.132826e-08
1.024161.77635.030171e-08
1.028611.7761984.927070e-08
1.033081.7760974.823521e-08
1.037561.7759974.719523e-08
1.042071.7758964.615073e-08
1.04661.7757964.510169e-08
1.051151.7756964.404809e-08
1.055711.7755974.298991e-08
1.06031.7754974.192714e-08
1.06491.7753984.085975e-08
1.069531.7752993.978773e-08
1.074181.77523.871105e-08
1.078841.7751023.762969e-08
1.083531.7750033.654363e-08
1.088241.7749053.545285e-08
1.092961.7748073.435734e-08
1.097711.7747093.325706e-08
1.102481.7746123.215201e-08
1.107271.7745143.104216e-08
1.112081.7744172.992748e-08
1.116911.774322.880796e-08
1.121761.7742232.768358e-08
1.126641.7741262.655432e-08
1.131531.7740292.542014e-08
1.136451.7739322.428105e-08
1.141381.7738362.313700e-08
1.146341.7737392.198798e-08
1.151321.7736432.083397e-08
1.156321.7735461.967495e-08
1.161351.773451.851089e-08
1.166391.7733541.734178e-08
1.171461.7732581.616758e-08
1.176551.7731621.498829e-08
1.181661.7730661.380387e-08
1.186791.772971.261431e-08
1.191951.7728741.141958e-08
1.197131.7727781.021966e-08
1.21.7727249.554100e-09
1.202331.7726821.022344e-08
1.207551.7725861.172490e-08
1.21281.772491.323288e-08
1.218071.7723941.474741e-08
1.223361.7722971.626852e-08
1.228671.7722011.779624e-08
1.234011.7721051.933059e-08
1.239371.7720092.087161e-08
1.244751.7719132.241933e-08
1.250161.7718172.397377e-08
1.255591.771722.553496e-08
1.261051.7716242.710293e-08
1.266531.7715272.867772e-08
1.272031.7714313.025935e-08
1.277551.7713343.184784e-08
1.28311.7712373.344324e-08
1.288681.771143.504557e-08
1.294281.7710433.665486e-08
1.29991.7709463.827114e-08
1.305551.7708493.989445e-08
1.311221.7707514.152480e-08
1.316911.7706534.316224e-08
1.322641.7705554.480679e-08
1.328381.7704574.645849e-08
1.334151.7703594.811736e-08
1.339951.7702614.978344e-08
1.345771.7701625.145675e-08
1.351621.7700635.313734e-08
1.357491.7699645.482522e-08
1.363381.7698655.652044e-08
1.369311.7697665.822302e-08
1.375261.7696665.993300e-08
1.381231.7695666.165041e-08
1.387231.7694666.337528e-08
1.393261.7693656.510764e-08
1.399311.7692656.684752e-08
1.41.7692536.704600e-08
1.405391.7691646.834096e-08
1.411491.7690626.980819e-08
1.417631.7689617.128180e-08
1.423781.7688597.276181e-08
1.429971.7687567.424825e-08
1.436181.7686547.574115e-08
1.442421.7685517.724053e-08
1.448691.7684487.874643e-08
1.454981.7683448.025887e-08
1.46131.768248.177788e-08
1.467651.7681368.330348e-08
1.474031.7680318.483572e-08
1.480431.7679268.637461e-08
1.486861.767828.792019e-08
1.493321.7677148.947248e-08
1.499811.7676089.103151e-08
1.506321.7675019.259732e-08
1.512871.7673949.416993e-08
1.519441.7672869.574937e-08
1.526041.7671789.733567e-08
1.532671.767079.892887e-08
1.539331.7669611.005290e-07
1.546011.7668511.021361e-07
1.552731.7667411.037501e-07
1.559481.7666311.053712e-07
1.566251.766521.069993e-07
1.573051.7664081.086344e-07
1.579891.7662961.102767e-07
1.586751.7661831.119261e-07
1.593641.766071.135827e-07
1.61.7659661.151100e-07
1.600571.7659571.156049e-07
1.607521.7658421.216636e-07
1.61451.7657281.277486e-07
1.621521.7656121.338601e-07
1.628561.7654961.399981e-07
1.635641.765381.461627e-07
1.642741.7652621.523542e-07
1.649881.7651451.585726e-07
1.657051.7650261.648179e-07
1.664251.7649071.710904e-07
1.671481.7647871.773902e-07
1.678741.7646671.837173e-07
1.686031.7645451.900719e-07
1.693351.7644241.964541e-07
1.700711.7643012.028640e-07
1.70811.7641782.093018e-07
1.715521.7640542.157676e-07
1.722971.7639292.222614e-07
1.730461.7638042.287835e-07
1.737971.7636782.353338e-07
1.745521.7635512.419127e-07
1.753111.7634232.485201e-07
1.760721.7632942.551562e-07
1.768371.7631652.618212e-07
1.776051.7630352.685151e-07
1.783771.7629042.752381e-07
1.791521.7627722.819902e-07
1.79931.7626392.887718e-07
1.81.7626272.893800e-07
1.807121.7625062.998496e-07
1.814971.7623713.113958e-07
1.822851.7622363.229922e-07
1.830771.76213.346389e-07
1.838731.7619633.463362e-07
1.846711.7618253.580843e-07
1.854741.7616863.698835e-07
1.862791.7615463.817339e-07
1.870891.7614053.936359e-07
1.879011.7612634.055895e-07
1.887181.761124.175950e-07
1.895371.7609774.296527e-07
1.903611.7608324.417628e-07
1.911881.7606864.539255e-07
1.920181.7605394.661410e-07
1.928531.7603914.784096e-07
1.93691.7602424.907315e-07
1.945321.7600925.031070e-07
1.953771.7599415.155362e-07
1.962261.7597885.280193e-07
1.970781.7596355.405568e-07
1.979341.759485.531486e-07
1.987941.7593245.657952e-07
1.996581.7591675.784967e-07
21.7591055.835300e-07
2.005251.7590096.065380e-07
2.013961.758856.447052e-07
2.022711.758696.830382e-07
2.03151.7585287.215377e-07
2.040321.7583657.602044e-07
2.049191.7582017.990392e-07
2.058091.7580358.380426e-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
—