Optical constants

Refractive index of Q-LASFPH2S (HIKARI)

Q-LASFPH2S: 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
1.76543
Extinction coefficient k
2.70488e-08
Permittivity ε1
3.11676
Permittivity ε2
9.55059e-08
Absorption coefficient α
0.00578465 cm⁻¹
Penetration depth δ = λ/(2πk)
3.45743e+09 nm
Abbe number Vd
46.751
Chromatic dispersion dn/dλ
-0.0840381 µm⁻¹
Group index ng
1.81481
Group velocity dispersion
153.257 fs²/mm
Dispersion parameter D
-836.096 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-LASFPH2S (HIKARI): Q-LASFPH2S
mat = ls.fetch_refractiveindex("specs", "HIKARI-optical", "Q-LASFPH2S", 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=3.0430437−0.0130169861⁢λ2.0−0.000175012562⁢λ4.0+0.025603733⁢λ−2.0+0.000448879136⁢λ−4.0+1.131389×10-5⁢λ−6.0+4.69755261×10-7⁢λ−8.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C13.0430437
C2-0.0130169861
C32.0
C4-0.000175012562
C54.0
C60.025603733
C7-2.0
C80.000448879136
C9-4.0
C101.131389e-05
C11-6.0
C124.69755261e-07
C13-8.0

Comments and conditions

For mold lens

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: 8.850929e-06 1.485241e-08 3.179295e-12 7.356564e-07 8.071775e-10 0.1941267
nd
1.765437
Vd
46.751378
density
value: 4520
thermal expansion
value: 5.3e-06, temperature range: 243 343
dPgF
-0.0095
resistance
phosphate: 3.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = 6.50e-06 K⁻¹ at 633 nm, dn/dT = 5.43e-06 K⁻¹ at 1310 nm, dn/dT = 5.33e-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-LASFPH2S (HIKARI), Q-LASFPH2S: n and k versus wavelength
λ (µm)nk
0.3650151.8069412.705593e-07
0.3666011.8063092.514578e-07
0.3681931.8056852.322734e-07
0.3697931.8050672.130056e-07
0.371.8049882.105100e-07
0.3713991.8044571.996515e-07
0.3730131.8038531.871311e-07
0.3746331.8032561.745564e-07
0.3762611.8026661.619271e-07
0.3778951.8020821.492428e-07
0.3795371.8015041.365035e-07
0.381.8013431.329100e-07
0.3811861.8009331.279801e-07
0.3828421.8003691.210952e-07
0.3845051.799811.141803e-07
0.3861751.7992581.072353e-07
0.3878531.7987111.002602e-07
0.3895381.7981719.325482e-08
0.391.7980249.133300e-08
0.391231.7976368.840853e-08
0.392931.7971088.436757e-08
0.3946371.7965848.030906e-08
0.3963511.7960677.623292e-08
0.3980731.7955557.213907e-08
0.3998021.7950496.802743e-08
0.41.7949916.755700e-08
0.4015391.7945486.598455e-08
0.4032831.7940526.420223e-08
0.4050351.7935616.241217e-08
0.4067951.7930766.061433e-08
0.4085621.7925965.880868e-08
0.4103371.7921215.699519e-08
0.412121.7916515.517382e-08
0.413911.7911865.334454e-08
0.4157081.7907255.150730e-08
0.4175141.790274.966209e-08
0.4193281.7898194.780886e-08
0.421.7896544.712200e-08
0.4211491.7893734.663965e-08
0.4229791.7889314.587187e-08
0.4248171.7884944.510075e-08
0.4266621.7880624.432629e-08
0.4285161.7876344.354846e-08
0.4303771.787214.276725e-08
0.4322471.7867914.198265e-08
0.4341251.7863764.119464e-08
0.436011.7859654.040320e-08
0.4379051.7855593.960833e-08
0.4398071.7851563.881001e-08
0.441.7851163.872900e-08
0.4417181.7847583.824507e-08
0.4436371.7843633.770441e-08
0.4455641.7839733.716141e-08
0.4474991.7835863.661604e-08
0.4494431.7832033.606831e-08
0.4513961.7828253.551819e-08
0.4533571.7824493.496569e-08
0.4553261.7820783.441079e-08
0.4573041.781713.385347e-08
0.4592911.7813463.329374e-08
0.461.7812183.309400e-08
0.4612861.7809863.269124e-08
0.463291.7806293.206381e-08
0.4653031.7802753.143365e-08
0.4673241.7799253.080076e-08
0.4693541.7795793.016511e-08
0.4713931.7792362.952671e-08
0.4734411.7788962.888553e-08
0.4754981.7785592.824156e-08
0.4775641.7782262.759480e-08
0.4796381.7778962.694523e-08
0.481.7778392.683200e-08
0.4817221.7775692.658342e-08
0.4838151.7772452.628134e-08
0.4859171.7769242.597795e-08
0.4880271.7766072.567323e-08
0.4901481.7762922.536720e-08
0.4922771.7759812.505983e-08
0.4944151.7756722.475113e-08
0.4965631.7753662.444108e-08
0.4987211.7750642.412969e-08
0.51.7748862.394500e-08
0.5008871.7747642.390941e-08
0.5030631.7744662.382211e-08
0.5052481.7741722.373443e-08
0.5074431.7738812.364637e-08
0.5096481.7735922.355793e-08
0.5118621.7733052.346910e-08
0.5140861.7730222.337989e-08
0.5163191.7727412.329029e-08
0.5185621.7724632.320030e-08
0.5208151.7721872.310992e-08
0.5230771.7719142.301915e-08
0.5253491.7716432.292798e-08
0.5276321.7713752.283641e-08
0.5299241.7711092.274445e-08
0.5322261.7708462.265209e-08
0.5345381.7705852.255933e-08
0.536861.7703272.246617e-08
0.5391931.770072.237260e-08
0.5415351.7698162.227862e-08
0.5438871.7695652.218424e-08
0.546251.7693152.208944e-08
0.5486231.7690682.199423e-08
0.551.7689262.193900e-08
0.5510071.7688232.207580e-08
0.55341.7685812.240110e-08
0.5558041.768342.272782e-08
0.5582191.7681022.305596e-08
0.5606441.7678652.338552e-08
0.563081.7676312.371651e-08
0.5655261.7673992.404895e-08
0.5679821.7671692.438282e-08
0.570451.7669412.471815e-08
0.5729281.7667142.505493e-08
0.5754171.766492.539318e-08
0.5779171.7662682.573289e-08
0.5804271.7660482.607408e-08
0.5829491.7658292.641676e-08
0.5854811.7656132.676092e-08
0.5880251.7653982.710658e-08
0.5905791.7651852.745374e-08
0.5931451.7649742.780240e-08
0.5957221.7647652.815258e-08
0.598311.7645582.850429e-08
0.61.7644242.873400e-08
0.6009091.7643522.877754e-08
0.6035191.7641482.890258e-08
0.6061411.7639462.902816e-08
0.6087741.7637452.915430e-08
0.6114191.7635462.928097e-08
0.6140751.7633492.940820e-08
0.6167431.7631532.953599e-08
0.6194221.7629592.966432e-08
0.6221131.7627672.979322e-08
0.6248161.7625762.992267e-08
0.627531.7623873.005269e-08
0.6302561.7621993.018327e-08
0.6329941.7620133.031442e-08
0.6357441.7618293.044614e-08
0.6385061.7616453.057843e-08
0.641281.7614643.071130e-08
0.6440661.7612833.084474e-08
0.6468641.7611053.097876e-08
0.6496741.7609273.111337e-08
0.651.7609073.112900e-08
0.6524961.7607513.096891e-08
0.6553311.7605773.078710e-08
0.6581781.7604033.060449e-08
0.6610371.7602323.042110e-08
0.6639081.7600613.023691e-08
0.6667931.7598923.005192e-08
0.6696891.7597242.986612e-08
0.6725991.7595582.967952e-08
0.6755211.7593922.949211e-08
0.6784551.7592282.930388e-08
0.6814031.7590652.911484e-08
0.6843631.7589042.892497e-08
0.6873361.7587442.873428e-08
0.6903221.7585842.854277e-08
0.6933211.7584262.835041e-08
0.6963331.758272.815723e-08
0.6993581.7581142.796320e-08
0.71.7580812.792200e-08
0.7023961.757962.863194e-08
0.7054471.7578062.953615e-08
0.7085121.7576543.044430e-08
0.711591.7575033.135638e-08
0.7146811.7573533.227243e-08
0.7177861.7572043.319246e-08
0.7209041.7570563.411648e-08
0.7240361.7569093.504452e-08
0.7271811.7567643.597659e-08
0.730341.7566193.691271e-08
0.7335131.7564753.785290e-08
0.73671.7563323.879717e-08
0.73991.7561913.974554e-08
0.7431141.756054.069804e-08
0.7463421.755914.165467e-08
0.7495851.7557714.261545e-08
0.7528411.7556334.358041e-08
0.7561121.7554964.454957e-08
0.7593961.755364.552293e-08
0.7626951.7552254.650052e-08
0.7660091.7550914.748236e-08
0.7693361.7549584.846846e-08
0.7726791.7548254.945885e-08
0.7760351.7546935.045354e-08
0.7794071.7545635.145255e-08
0.7827931.7544335.245590e-08
0.7861931.7543035.346361e-08
0.7896091.7541755.447570e-08
0.7930391.7540475.549218e-08
0.7964841.7539215.651308e-08
0.7999441.7537955.753842e-08
0.81.7537935.755500e-08
0.8034191.753675.607733e-08
0.8069091.7535455.456895e-08
0.8104151.7534215.305402e-08
0.8139351.7532985.153251e-08
0.8174711.7531765.000439e-08
0.8210231.7530554.846963e-08
0.8245891.7529344.692820e-08
0.8281721.7528144.538008e-08
0.8317691.7526944.382523e-08
0.8353831.7525754.226363e-08
0.8390121.7524574.069524e-08
0.8426571.752343.912004e-08
0.8463171.7522233.753799e-08
0.8499941.7521073.594908e-08
0.8536871.7519913.435326e-08
0.8573951.7518763.275051e-08
0.861121.7517623.114079e-08
0.8648611.7516482.952408e-08
0.8686181.7515352.790035e-08
0.8723911.7514222.626957e-08
0.8761811.751312.463170e-08
0.8799881.7511992.298671e-08
0.8838111.7510882.133458e-08
0.887651.7509771.967527e-08
0.8915061.7508671.800876e-08
0.8953791.7507581.633500e-08
0.8992691.7506491.465397e-08
0.91.7506291.433800e-08
0.9031751.7505411.540344e-08
0.9070991.7504331.671989e-08
0.911041.7503261.804206e-08
0.9149981.7502191.936997e-08
0.9189721.7501122.070365e-08
0.9229651.7500062.204312e-08
0.9269741.7499012.338842e-08
0.9310011.7497962.473955e-08
0.9350461.7496912.609656e-08
0.9391081.7495872.745946e-08
0.9431881.7494832.882828e-08
0.9472851.7493793.020305e-08
0.95141.7492763.158379e-08
0.9555331.7491743.297053e-08
0.9596841.7490723.436330e-08
0.9638531.748973.576211e-08
0.9680411.7488683.716700e-08
0.9722461.7487673.857800e-08
0.976471.7486663.999512e-08
0.9807121.7485664.141840e-08
0.9849721.7484654.284786e-08
0.9892511.7483654.428354e-08
0.9935491.7482664.572545e-08
0.9978651.7481674.717362e-08
11.7481184.789000e-08
1.00221.7480684.757353e-08
1.006551.7479694.694720e-08
1.010931.7478714.631814e-08
1.015321.7477734.568635e-08
1.019731.7476754.505181e-08
1.024161.7475774.441452e-08
1.028611.747484.377446e-08
1.033081.7473834.313162e-08
1.037561.7472864.248599e-08
1.042071.7471894.183755e-08
1.04661.7470934.118630e-08
1.051151.7469964.053221e-08
1.055711.74693.987529e-08
1.06031.7468053.921551e-08
1.06491.7467093.855286e-08
1.069531.7466133.788734e-08
1.074181.7465183.721892e-08
1.078841.7464233.654761e-08
1.083531.7463283.587337e-08
1.088241.7462333.519620e-08
1.092961.7461383.451610e-08
1.097711.7460443.383304e-08
1.102481.7459493.314701e-08
1.107271.7458553.245800e-08
1.112081.7457613.176600e-08
1.116911.7456663.107099e-08
1.121761.7455723.037296e-08
1.126641.7454782.967190e-08
1.131531.7453842.896780e-08
1.136451.7452912.826064e-08
1.141381.7451972.755040e-08
1.146341.7451032.683708e-08
1.151321.7450092.612066e-08
1.156321.7449162.540112e-08
1.161351.7448222.467847e-08
1.166391.7447282.395267e-08
1.171461.7446352.322372e-08
1.176551.7445412.249160e-08
1.181661.7444482.175630e-08
1.186791.7443542.101781e-08
1.191951.744262.027611e-08
1.197131.7441671.953119e-08
1.21.7441151.911800e-08
1.202331.7440731.967599e-08
1.207551.7439792.092768e-08
1.21281.7438862.218480e-08
1.218071.7437922.344739e-08
1.223361.7436982.471546e-08
1.228671.7436042.598904e-08
1.234011.743512.726815e-08
1.239371.7434162.855282e-08
1.244751.7433212.984307e-08
1.250161.7432273.113892e-08
1.255591.7431333.244041e-08
1.261051.7430383.374755e-08
1.266531.7429433.506036e-08
1.272031.7428493.637888e-08
1.277551.7427543.770313e-08
1.28311.7426593.903313e-08
1.288681.7425634.036891e-08
1.294281.7424684.171049e-08
1.29991.7423724.305790e-08
1.305551.7422764.441117e-08
1.311221.742184.577031e-08
1.316911.7420844.713536e-08
1.322641.7419884.850633e-08
1.328381.7418914.988326e-08
1.334151.7417945.126618e-08
1.339951.7416975.265510e-08
1.345771.74165.405006e-08
1.351621.7415025.545107e-08
1.357491.7414055.685817e-08
1.363381.7413075.827139e-08
1.369311.7412085.969074e-08
1.375261.741116.111626e-08
1.381231.7410116.254798e-08
1.387231.7409126.398591e-08
1.393261.7408126.543009e-08
1.399311.7407126.688054e-08
1.41.7407016.704600e-08
1.405391.7406126.868717e-08
1.411491.7405127.054667e-08
1.417631.7404117.241425e-08
1.423781.740317.428995e-08
1.429971.7402087.617379e-08
1.436181.7401067.806581e-08
1.442421.7400047.996606e-08
1.448691.7399018.187456e-08
1.454981.7397988.379135e-08
1.46131.7396958.571647e-08
1.467651.7395918.764995e-08
1.474031.7394878.959183e-08
1.480431.7393829.154215e-08
1.486861.7392779.350094e-08
1.493321.7391729.546824e-08
1.499811.7390669.744408e-08
1.506321.7389599.942851e-08
1.512871.7388521.014216e-07
1.519441.7387451.034233e-07
1.526041.7386371.054337e-07
1.532671.7385291.074528e-07
1.539331.738421.094807e-07
1.546011.738311.115174e-07
1.552731.73821.135630e-07
1.559481.738091.156175e-07
1.566251.7379791.176808e-07
1.573051.7378671.197532e-07
1.579891.7377551.218345e-07
1.586751.7376421.239249e-07
1.593641.7375291.260244e-07
1.61.7374241.279600e-07
1.600571.7374151.284599e-07
1.607521.7373011.345805e-07
1.61451.7371851.407277e-07
1.621521.737071.469016e-07
1.628561.7369531.531023e-07
1.635641.7368361.593299e-07
1.642741.7367191.655846e-07
1.649881.73661.718665e-07
1.657051.7364811.781756e-07
1.664251.7363611.845122e-07
1.671481.7362411.908763e-07
1.678741.736121.972680e-07
1.686031.7359982.036876e-07
1.693351.7358752.101350e-07
1.700711.7357522.166104e-07
1.70811.7356282.231139e-07
1.715521.7355032.296457e-07
1.722971.7353772.362059e-07
1.730461.7352512.427945e-07
1.737971.7351242.494118e-07
1.745521.7349962.560578e-07
1.753111.7348672.627327e-07
1.760721.7347372.694366e-07
1.768371.7346072.761697e-07
1.776051.7344752.829320e-07
1.783771.7343432.897236e-07
1.791521.734212.965448e-07
1.79931.7340763.033956e-07
1.81.7340643.040100e-07
1.807121.7339413.174954e-07
1.814971.7338053.323675e-07
1.822851.7336683.473041e-07
1.830771.733533.623057e-07
1.838731.7333923.773725e-07
1.846711.7332523.925046e-07
1.854741.7331114.077026e-07
1.862791.732974.229665e-07
1.870891.7328274.382968e-07
1.879011.7326834.536937e-07
1.887181.7325384.691574e-07
1.895371.7323934.846883e-07
1.903611.7322465.002867e-07
1.911881.7320985.159529e-07
1.920181.7319495.316871e-07
1.928531.7317995.474897e-07
1.93691.7316475.633609e-07
1.945321.7314955.793011e-07
1.953771.7313425.953105e-07
1.962261.7311876.113895e-07
1.970781.7310316.275383e-07
1.979341.7308746.437573e-07
1.987941.7307166.600467e-07
1.996581.7305566.764069e-07
21.7304936.828900e-07
2.005251.7303957.185286e-07
2.013961.7302337.776481e-07
2.022711.730078.370245e-07
2.03151.7299058.966588e-07
2.040321.7297399.565522e-07
2.049191.7295721.016706e-06
2.058091.7294041.077121e-06

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
—