Optical constants

Refractive index of Q-LAFPH1S (HIKARI)

Q-LAFPH1S: 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
1.7431
Extinction coefficient k
4.67830e-09
Permittivity ε1
3.0384
Permittivity ε2
1.63095e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
49.437
Chromatic dispersion dn/dλ
-0.0772781 µm⁻¹
Group index ng
1.78851
Group velocity dispersion
139.593 fs²/mm
Dispersion parameter D
-761.555 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-LAFPH1S (HIKARI): Q-LAFPH1S
hikari_q_lafph1s = ls.fetch_refractiveindex("specs", "HIKARI-optical", "Q-LAFPH1S", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_q_lafph1s.range_nm)  # (365.015, 2058.09) nm
eps = hikari_q_lafph1s.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=2.97184328−0.0126569714⁢λ2.0−0.000162723834⁢λ4.0+0.0232616036⁢λ−2.0+0.000403316269⁢λ−4.0+6.85871554×10-6⁢λ−6.0+3.74016912×10-7⁢λ−8.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C12.97184328
C2-0.0126569714
C32.0
C4-0.000162723834
C54.0
C60.0232616036
C7-2.0
C80.000403316269
C9-4.0
C106.85871554e-06
C11-6.0
C123.74016912e-07
C13-8.0

Comments and conditions

For mold lens

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: 9.030377e-06 1.284114e-08 3.060448e-12 7.261363e-07 6.956703e-10 0.1861246
nd
1.743104
Vd
49.436916
density
value: 4250
thermal expansion
value: 5.2e-06, temperature range: 243 343
dPgF
-0.0084
resistance
phosphate: 4.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = 6.42e-06 K⁻¹ at 633 nm, dn/dT = 5.40e-06 K⁻¹ at 1310 nm, dn/dT = 5.30e-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-LAFPH1S (HIKARI), Q-LAFPH1S: n and k versus wavelength
λ (µm)nk
0.3650151.7808852.137586e-07
0.3666011.7803151.977556e-07
0.3681931.7797521.816831e-07
0.3697931.7791951.655408e-07
0.371.7791241.634500e-07
0.3713991.7786451.547772e-07
0.3730131.77811.447770e-07
0.3746331.7775611.347335e-07
0.3762611.7770281.246463e-07
0.3778951.7765011.145152e-07
0.3795371.7759791.043402e-07
0.381.7758331.014700e-07
0.3811861.7754639.724861e-08
0.3828421.7749539.135307e-08
0.3845051.7744488.543191e-08
0.3861751.7739487.948502e-08
0.3878531.7734547.351231e-08
0.3895381.7729656.751364e-08
0.391.7728326.586800e-08
0.391231.7724816.368350e-08
0.392931.7720026.066502e-08
0.3946371.7715285.763343e-08
0.3963511.7710595.458866e-08
0.3980731.7705965.153067e-08
0.3998021.7701364.845940e-08
0.41.7700844.810800e-08
0.4015391.7696824.673123e-08
0.4032831.7692334.517071e-08
0.4050351.7687884.360341e-08
0.4067951.7683484.202930e-08
0.4085621.7679124.044835e-08
0.4103371.7674813.886054e-08
0.412121.7670543.726582e-08
0.413911.7666323.566418e-08
0.4157081.7662133.405558e-08
0.4175141.76583.243999e-08
0.4193281.765393.081739e-08
0.421.765243.021600e-08
0.4211491.7649852.969049e-08
0.4229791.7645832.885401e-08
0.4248171.7641862.801389e-08
0.4266621.7637932.717013e-08
0.4285161.7634032.632270e-08
0.4303771.7630182.547159e-08
0.4322471.7626362.461678e-08
0.4341251.7622592.375826e-08
0.436011.7618852.289601e-08
0.4379051.7615142.203001e-08
0.4398071.7611482.116025e-08
0.441.7611112.107200e-08
0.4417181.7607852.052237e-08
0.4436371.7604261.990831e-08
0.4455641.760071.929159e-08
0.4474991.7597171.867219e-08
0.4494431.7593691.805009e-08
0.4513961.7590231.742530e-08
0.4533571.7586811.679779e-08
0.4553261.7583421.616755e-08
0.4573041.7580071.553458e-08
0.4592911.7576751.489885e-08
0.461.7575571.467200e-08
0.4612861.7573461.397413e-08
0.463291.757021.288695e-08
0.4653031.7566971.179506e-08
0.4673241.7563781.069841e-08
0.4693541.7560619.597008e-09
0.4713931.7557488.490817e-09
0.4734411.7554387.379821e-09
0.4754981.755136.263999e-09
0.4775641.7548265.143329e-09
0.4796381.7545244.017791e-09
0.481.7544723.821600e-09
0.4817221.7542253.835316e-09
0.4838151.7539293.851984e-09
0.4859171.7536363.868725e-09
0.4880271.7533463.885539e-09
0.4901481.7530583.902426e-09
0.4922771.7527733.919386e-09
0.4944151.7524913.936419e-09
0.4965631.7522113.953527e-09
0.4987211.7519343.970709e-09
0.51.7517713.980900e-09
0.5008871.7516593.987963e-09
0.5030631.7513884.005288e-09
0.5052481.7511184.022688e-09
0.5074431.7508514.040164e-09
0.5096481.7505874.057716e-09
0.5118621.7503254.075344e-09
0.5140861.7500654.093049e-09
0.5163191.7498084.110830e-09
0.5185621.7495534.128689e-09
0.5208151.74934.146626e-09
0.5230771.749054.164640e-09
0.5253491.7488024.182733e-09
0.5276321.7485564.200904e-09
0.5299241.7483124.219154e-09
0.5322261.7480714.237483e-09
0.5345381.7478314.255893e-09
0.536861.7475944.274382e-09
0.5391931.7473594.292951e-09
0.5415351.7471264.311601e-09
0.5438871.7468954.330332e-09
0.546251.7466674.349144e-09
0.5486231.746444.368039e-09
0.551.746314.379000e-09
0.5510071.7462154.387013e-09
0.55341.7459924.406067e-09
0.5558041.7457714.425203e-09
0.5582191.7455534.444423e-09
0.5606441.7453354.463726e-09
0.563081.745124.483113e-09
0.5655261.7449074.502585e-09
0.5679821.7446964.522141e-09
0.570451.7444864.541782e-09
0.5729281.7442784.561508e-09
0.5754171.7440724.581320e-09
0.5779171.7438684.601218e-09
0.5804271.7436664.621202e-09
0.5829491.7434654.641273e-09
0.5854811.7432664.661432e-09
0.5880251.7430684.681678e-09
0.5905791.7428734.702012e-09
0.5931451.7426784.722434e-09
0.5957221.7424864.742945e-09
0.598311.7422954.763545e-09
0.61.7421724.777000e-09
0.6009091.7421064.784237e-09
0.6035191.7419184.805021e-09
0.6061411.7417324.825896e-09
0.6087741.7415474.846862e-09
0.6114191.7413644.867919e-09
0.6140751.7411834.889067e-09
0.6167431.7410034.910307e-09
0.6194221.7408244.931640e-09
0.6221131.7406474.953065e-09
0.6248161.7404714.974583e-09
0.627531.7402974.996194e-09
0.6302561.7401245.017900e-09
0.6329941.7399525.039700e-09
0.6357441.7397825.061594e-09
0.6385061.7396135.083584e-09
0.641281.7394465.105669e-09
0.6440661.739285.127850e-09
0.6468641.7391155.150127e-09
0.6496741.7389515.172502e-09
0.651.7389325.175100e-09
0.6524961.7387895.194973e-09
0.6553311.7386285.217542e-09
0.6581781.7384685.240209e-09
0.6610371.738315.262975e-09
0.6639081.7381525.285839e-09
0.6667931.7379965.308803e-09
0.6696891.7378415.331867e-09
0.6725991.7376875.355030e-09
0.6755211.7375355.378295e-09
0.6784551.7373835.401660e-09
0.6814031.7372335.425127e-09
0.6843631.7370845.448696e-09
0.6873361.7369365.472367e-09
0.6903221.7367895.496141e-09
0.6933211.7366435.520019e-09
0.6963331.7364985.544000e-09
0.6993581.7363545.568085e-09
0.71.7363245.573200e-09
0.7023961.7362116.357549e-09
0.7054471.7360697.356532e-09
0.7085121.7359298.359854e-09
0.711591.7357899.367535e-09
0.7146811.735651.037959e-08
0.7177861.7355121.139605e-08
0.7209041.7353761.241692e-08
0.7240361.735241.344223e-08
0.7271811.7351051.447199e-08
0.730341.7349711.550622e-08
0.7335131.7348381.654495e-08
0.73671.7347061.758818e-08
0.73991.7345741.863595e-08
0.7431141.7344441.968828e-08
0.7463421.7343142.074517e-08
0.7495851.7341862.180666e-08
0.7528411.7340582.287275e-08
0.7561121.7339312.394348e-08
0.7593961.7338052.501886e-08
0.7626951.7336792.609891e-08
0.7660091.7335552.718366e-08
0.7693361.7334312.827311e-08
0.7726791.7333082.936730e-08
0.7760351.7331863.046624e-08
0.7794071.7330653.156996e-08
0.7827931.7329443.267847e-08
0.7861931.7328243.379180e-08
0.7896091.7327053.490996e-08
0.7930391.7325863.603298e-08
0.7964841.7324693.716088e-08
0.7999441.7323523.829368e-08
0.81.732353.831200e-08
0.8034191.7322353.724704e-08
0.8069091.732123.615996e-08
0.8104151.7320053.506815e-08
0.8139351.731893.397160e-08
0.8174711.7317763.287029e-08
0.8210231.7316633.176419e-08
0.8245891.7315513.065329e-08
0.8281721.7314392.953756e-08
0.8317691.7313282.841698e-08
0.8353831.7312172.729154e-08
0.8390121.7311072.616121e-08
0.8426571.7309982.502596e-08
0.8463171.7308892.388579e-08
0.8499941.7307812.274066e-08
0.8536871.7306732.159055e-08
0.8573951.7305662.043545e-08
0.861121.7304591.927534e-08
0.8648611.7303531.811018e-08
0.8686181.7302481.693996e-08
0.8723911.7301431.576466e-08
0.8761811.7300381.458425e-08
0.8799881.7299341.339871e-08
0.8838111.729831.220802e-08
0.887651.7297271.101216e-08
0.8915061.7296259.811108e-09
0.8953791.7295238.604835e-09
0.8992691.7294217.393322e-09
0.91.7294027.165600e-09
0.9031751.729327.190880e-09
0.9070991.7292197.222116e-09
0.911041.7291187.253487e-09
0.9149981.7290187.284995e-09
0.9189721.7289197.316640e-09
0.9229651.728827.348422e-09
0.9269741.7287217.380342e-09
0.9310011.7286237.412401e-09
0.9350461.7285247.444599e-09
0.9391081.7284277.476937e-09
0.9431881.728337.509416e-09
0.9472851.7282337.542036e-09
0.95141.7281367.574797e-09
0.9555331.728047.607701e-09
0.9596841.7279447.640747e-09
0.9638531.7278487.673937e-09
0.9680411.7277537.707272e-09
0.9722461.7276587.740751e-09
0.976471.7275637.774375e-09
0.9807121.7274697.808146e-09
0.9849721.7273757.842063e-09
0.9892511.7272817.876128e-09
0.9935491.7271877.910341e-09
0.9978651.7270947.944702e-09
11.7270487.961700e-09
1.00221.7270017.979215e-09
1.006551.7269088.013880e-09
1.010931.7268168.048695e-09
1.015321.7267238.083662e-09
1.019731.7266318.118781e-09
1.024161.7265398.154052e-09
1.028611.7264488.189476e-09
1.033081.7263568.225055e-09
1.037561.7262658.260787e-09
1.042071.7261748.296676e-09
1.04661.7260838.332720e-09
1.051151.7259928.368920e-09
1.055711.7259018.405278e-09
1.06031.7258118.441794e-09
1.06491.7257218.478468e-09
1.069531.725638.515302e-09
1.074181.725548.552296e-09
1.078841.7254518.589450e-09
1.083531.7253618.626766e-09
1.088241.7252718.664244e-09
1.092961.7251818.701885e-09
1.097711.7250928.739689e-09
1.102481.7250038.777658e-09
1.107271.7249138.815791e-09
1.112081.7248248.854090e-09
1.116911.7247358.892556e-09
1.121761.7246468.931189e-09
1.126641.7245578.969989e-09
1.131531.7244689.008958e-09
1.136451.7243799.048097e-09
1.141381.724299.087405e-09
1.146341.7242019.126884e-09
1.151321.7241129.166535e-09
1.156321.7240239.206357e-09
1.161351.7239349.246353e-09
1.166391.7238459.286523e-09
1.171461.7237569.326867e-09
1.176551.7236679.367386e-09
1.181661.7235789.408082e-09
1.186791.7234899.448954e-09
1.191951.72349.490004e-09
1.197131.7233119.531232e-09
1.21.7232629.554100e-09
1.202331.7232229.572633e-09
1.207551.7231329.614207e-09
1.21281.7230439.655962e-09
1.218071.7229549.697898e-09
1.223361.7228649.740016e-09
1.228671.7227759.782317e-09
1.234011.7226859.824802e-09
1.239371.7225959.867472e-09
1.244751.7225059.910327e-09
1.250161.7224159.953368e-09
1.255591.7223259.996596e-09
1.261051.7222351.004001e-08
1.266531.7221441.008362e-08
1.272031.7220541.012741e-08
1.277551.7219631.017139e-08
1.28311.7218721.021557e-08
1.288681.7217811.025994e-08
1.294281.721691.030450e-08
1.29991.7215981.034925e-08
1.305551.7215071.039420e-08
1.311221.7214151.043934e-08
1.316911.7213231.048468e-08
1.322641.721231.053022e-08
1.328381.7211381.057595e-08
1.334151.7210451.062188e-08
1.339951.7209521.066801e-08
1.345771.7208591.071435e-08
1.351621.7207651.076088e-08
1.357491.7206711.080762e-08
1.363381.7205771.085456e-08
1.369311.7204831.090170e-08
1.375261.7203881.094905e-08
1.381231.7202931.099660e-08
1.387231.7201981.104436e-08
1.393261.7201021.109233e-08
1.399311.7200061.114050e-08
1.41.7199961.114600e-08
1.405391.719911.256522e-08
1.411491.7198141.417324e-08
1.417631.7197171.578825e-08
1.423781.7196191.741028e-08
1.429971.7195221.903935e-08
1.436181.7194242.067550e-08
1.442421.7193252.231875e-08
1.448691.7192262.396915e-08
1.454981.7191272.562671e-08
1.46131.7190282.729148e-08
1.467651.7189282.896348e-08
1.474031.7188273.064274e-08
1.480431.7187263.232929e-08
1.486861.7186253.402318e-08
1.493321.7185233.572442e-08
1.499811.7184213.743305e-08
1.506321.7183183.914911e-08
1.512871.7182154.087262e-08
1.519441.7181114.260361e-08
1.526041.7180074.434213e-08
1.532671.7179034.608820e-08
1.539331.7177974.784186e-08
1.546011.7176924.960313e-08
1.552731.7175855.137205e-08
1.559481.7174795.314866e-08
1.566251.7173715.493299e-08
1.573051.7172645.672507e-08
1.579891.7171555.852494e-08
1.586751.7170466.033262e-08
1.593641.7169366.214815e-08
1.61.7168356.382200e-08
1.600571.7168266.429683e-08
1.607521.7167157.011037e-08
1.61451.7166047.594916e-08
1.621521.7164928.181331e-08
1.628561.7163798.770294e-08
1.635641.7162669.361816e-08
1.642741.7161529.955908e-08
1.649881.7160371.055258e-07
1.657051.7159221.115184e-07
1.664251.7158061.175371e-07
1.671481.7156891.235819e-07
1.678741.7155721.296530e-07
1.686031.7154541.357505e-07
1.693351.7153351.418744e-07
1.700711.7152151.480250e-07
1.70811.7150951.542023e-07
1.715521.7149741.604064e-07
1.722971.7148521.666374e-07
1.730461.7147291.728955e-07
1.737971.7146061.791809e-07
1.745521.7144821.854935e-07
1.753111.7143561.918335e-07
1.760721.7142311.982011e-07
1.768371.7141042.045964e-07
1.776051.7139762.110194e-07
1.783771.7138482.174703e-07
1.791521.7137182.239493e-07
1.79931.7135882.304564e-07
1.81.7135772.310400e-07
1.807121.7134572.447624e-07
1.814971.7133252.598959e-07
1.822851.7131922.750952e-07
1.830771.7130582.903604e-07
1.838731.7129233.056920e-07
1.846711.7127883.210902e-07
1.854741.7126513.365553e-07
1.862791.7125133.520876e-07
1.870891.7123743.676873e-07
1.879011.7122353.833548e-07
1.887181.7120943.990904e-07
1.895371.7119524.148943e-07
1.903611.7118094.307669e-07
1.911881.7116654.467085e-07
1.920181.711524.627193e-07
1.928531.7113744.787996e-07
1.93691.7112274.949498e-07
1.945321.7110795.111702e-07
1.953771.7109295.274610e-07
1.962261.7107795.438226e-07
1.970781.7106275.602553e-07
1.979341.7104745.767594e-07
1.987941.710325.933352e-07
1.996581.7101656.099829e-07
21.7101036.165800e-07
2.005251.7100086.478025e-07
2.013961.709856.995963e-07
2.022711.7096917.516151e-07
2.03151.7095318.038598e-07
2.040321.709378.563316e-07
2.049191.7092079.090313e-07
2.058091.7090439.619599e-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
—