Optical constants

Refractive index of Q-LASF03S (HIKARI)

Q-LASF03S: 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
1.80604
Extinction coefficient k
3.17544e-08
Permittivity ε1
3.26177
Permittivity ε2
1.14699e-07
Absorption coefficient α
0.00679097 cm⁻¹
Penetration depth δ = λ/(2πk)
2.94509e+09 nm
Abbe number Vd
40.737
Chromatic dispersion dn/dλ
-0.100969 µm⁻¹
Group index ng
1.86537
Group velocity dispersion
190.706 fs²/mm
Dispersion parameter D
-1040.4 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-LASF03S (HIKARI): Q-LASF03S
hikari_q_lasf03s = ls.fetch_refractiveindex("specs", "HIKARI-optical", "Q-LASF03S", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_q_lasf03s.range_nm)  # (365.015, 2058.09) nm
eps = hikari_q_lasf03s.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=3.1699583−0.012153683⁢λ2.0−0.000127440597⁢λ4.0+0.0309253962⁢λ−2.0+0.000733513997⁢λ−4.0+6.0190839×10-6⁢λ−6.0+2.17380961×10-6⁢λ−8.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C13.1699583
C2-0.012153683
C32.0
C4-0.000127440597
C54.0
C60.0309253962
C7-2.0
C80.000733513997
C9-4.0
C106.0190839e-06
C11-6.0
C122.17380961e-06
C13-8.0

Comments and conditions

For mold lens

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: 1.0303e-05 1.4294e-08 -9.4458e-13 8.9892e-07 1.0565e-09 0.21112
nd
1.806040
Vd
40.737356
density
value: 4480
thermal expansion
value: 7.1e-06, temperature range: 243 343
dPgF
-0.007
resistance
phosphate: 3.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = 8.00e-06 K⁻¹ at 633 nm, dn/dT = 6.60e-06 K⁻¹ at 1310 nm, dn/dT = 6.48e-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 421 wavelengths, the same grid as the API and the library
Q-LASF03S (HIKARI), Q-LASF03S: n and k versus wavelength
λ (µm)nk
0.3650151.8577435.060299e-07
0.3666011.8569284.647919e-07
0.3681931.8561234.233748e-07
0.3697931.8553283.817777e-07
0.371.8552263.763900e-07
0.3713991.8545433.580844e-07
0.3730131.8537673.369773e-07
0.3746331.8530013.157786e-07
0.3762611.8522442.944877e-07
0.3778951.8514972.731043e-07
0.3795371.8507582.516280e-07
0.381.8505522.455700e-07
0.3811861.8500292.364922e-07
0.3828421.8493082.238141e-07
0.3845051.8485962.110810e-07
0.3861751.8478921.982926e-07
0.3878531.8471971.854486e-07
0.3895381.846511.725489e-07
0.391.8463231.690100e-07
0.391231.8458311.629829e-07
0.392931.845161.546549e-07
0.3946371.8444961.462907e-07
0.3963511.8438411.378902e-07
0.3980731.8431931.294532e-07
0.3998021.8425531.209795e-07
0.41.842481.200100e-07
0.4015391.841921.167597e-07
0.4032831.8412941.130756e-07
0.4050351.8406761.093754e-07
0.4067951.8400641.056592e-07
0.4085621.839461.019269e-07
0.4103371.8388629.817830e-08
0.412121.8382729.441345e-08
0.413911.8376879.063224e-08
0.4157081.837118.683461e-08
0.4175141.8365398.302048e-08
0.4193281.8359747.918978e-08
0.421.8357677.777000e-08
0.4211491.8354157.675081e-08
0.4229791.8348637.512853e-08
0.4248171.8343177.349920e-08
0.4266621.8337767.186280e-08
0.4285161.8332427.021928e-08
0.4303771.8327136.856863e-08
0.4322471.8321916.691080e-08
0.4341251.8316746.524577e-08
0.436011.8311626.357351e-08
0.4379051.8306566.189398e-08
0.4398071.8301566.020716e-08
0.441.8301066.003600e-08
0.4417181.8296615.899368e-08
0.4436371.8291715.782918e-08
0.4455641.8286865.665962e-08
0.4474991.8282075.548498e-08
0.4494431.8277335.430524e-08
0.4513961.8272635.312037e-08
0.4533571.8267995.193036e-08
0.4553261.826345.073517e-08
0.4573041.8258854.953480e-08
0.4592911.8254354.832921e-08
0.461.8252764.789900e-08
0.4612861.824994.753567e-08
0.463291.8245494.696966e-08
0.4653031.8241134.640119e-08
0.4673241.8236824.583025e-08
0.4693541.8232554.525683e-08
0.4713931.8228324.468092e-08
0.4734411.8224144.410250e-08
0.4754981.8224.352158e-08
0.4775641.821594.293813e-08
0.4796381.8211844.235214e-08
0.481.8211144.225000e-08
0.4817221.8207834.136393e-08
0.4838151.8203864.028712e-08
0.4859171.8199923.920564e-08
0.4880271.8196033.811946e-08
0.4901481.8192173.702856e-08
0.4922771.8188353.593292e-08
0.4944151.8184583.483252e-08
0.4965631.8180833.372734e-08
0.4987211.8177133.261736e-08
0.51.8174963.195900e-08
0.5008871.8173463.185931e-08
0.5030631.8169833.161477e-08
0.5052481.8166243.136918e-08
0.5074431.8162683.112251e-08
0.5096481.8159153.087478e-08
0.5118621.8155663.062596e-08
0.5140861.8152213.037607e-08
0.5163191.8148793.012509e-08
0.5185621.814542.987302e-08
0.5208151.8142042.961986e-08
0.5230771.8138722.936559e-08
0.5253491.8135432.911022e-08
0.5276321.8132172.885375e-08
0.5299241.8128942.859615e-08
0.5322261.8125742.833744e-08
0.5345381.8122572.807761e-08
0.536861.8119442.781664e-08
0.5391931.8116332.755454e-08
0.5415351.8113252.729131e-08
0.5438871.811022.702693e-08
0.546251.8107182.676140e-08
0.5486231.8104192.649472e-08
0.551.8102472.634000e-08
0.5510071.8101232.648495e-08
0.55341.8098292.682965e-08
0.5558041.8095382.717584e-08
0.5582191.809252.752353e-08
0.5606441.8089652.787274e-08
0.563081.8086822.822346e-08
0.5655261.8084022.857570e-08
0.5679821.8081242.892948e-08
0.570451.8078492.928479e-08
0.5729281.8075772.964165e-08
0.5754171.8073073.000006e-08
0.5779171.8070393.036002e-08
0.5804271.8067743.072155e-08
0.5829491.8065123.108464e-08
0.5854811.8062513.144932e-08
0.5880251.8059933.181558e-08
0.5905791.8057383.218343e-08
0.5931451.8054843.255288e-08
0.5957221.8052333.292393e-08
0.598311.8049843.329660e-08
0.61.8048243.354000e-08
0.6009091.8047383.359081e-08
0.6035191.8044933.373673e-08
0.6061411.8042513.388329e-08
0.6087741.8040113.403049e-08
0.6114191.8037733.417833e-08
0.6140751.8035373.432681e-08
0.6167431.8033033.447593e-08
0.6194221.8030723.462570e-08
0.6221131.8028423.477612e-08
0.6248161.8026143.492720e-08
0.627531.8023883.507893e-08
0.6302561.8021643.523132e-08
0.6329941.8019433.538437e-08
0.6357441.8017233.553809e-08
0.6385061.8015043.569248e-08
0.641281.8012883.584754e-08
0.6440661.8010743.600327e-08
0.6468641.8008613.615967e-08
0.6496741.800653.631676e-08
0.651.8006263.633500e-08
0.6524961.8004413.647453e-08
0.6553311.8002343.663298e-08
0.6581781.8000283.679212e-08
0.6610371.7998253.695196e-08
0.6639081.7996233.711248e-08
0.6667931.7994223.727371e-08
0.6696891.7992233.743563e-08
0.6725991.7990263.759826e-08
0.6755211.7988313.776160e-08
0.6784551.7986373.792565e-08
0.6814031.7984443.809040e-08
0.6843631.7982543.825588e-08
0.6873361.7980643.842207e-08
0.6903221.7978773.858898e-08
0.6933211.797693.875662e-08
0.6963331.7975063.892499e-08
0.6993581.7973233.909409e-08
0.71.7972843.913000e-08
0.7023961.7971413.987954e-08
0.7054471.796964.083420e-08
0.7085121.7967814.179299e-08
0.711591.7966044.275596e-08
0.7146811.7964284.372311e-08
0.7177861.7962534.469446e-08
0.7209041.796084.567003e-08
0.7240361.7959084.664983e-08
0.7271811.7957374.763390e-08
0.730341.7955674.862224e-08
0.7335131.7953994.961487e-08
0.73671.7952325.061181e-08
0.73991.7950675.161309e-08
0.7431141.7949025.261871e-08
0.7463421.7947395.362871e-08
0.7495851.7945775.464309e-08
0.7528411.7944175.566188e-08
0.7561121.7942575.668509e-08
0.7593961.7940995.771275e-08
0.7626951.7939415.874488e-08
0.7660091.7937855.978148e-08
0.7693361.793636.082259e-08
0.7726791.7934776.186823e-08
0.7760351.7933246.291840e-08
0.7794071.7931726.397314e-08
0.7827931.7930226.503246e-08
0.7861931.7928726.609638e-08
0.7896091.7927246.716493e-08
0.7930391.7925766.823812e-08
0.7964841.792436.931596e-08
0.7999441.7922857.039849e-08
0.81.7922827.041600e-08
0.8034191.792146.948205e-08
0.8069091.7919976.852869e-08
0.8104151.7918546.757119e-08
0.8139351.7917136.660953e-08
0.8174711.7915726.564369e-08
0.8210231.7914336.467365e-08
0.8245891.7912946.369941e-08
0.8281721.7911566.272093e-08
0.8317691.7910196.173819e-08
0.8353831.7908836.075119e-08
0.8390121.7907485.975991e-08
0.8426571.7906145.876431e-08
0.8463171.790485.776439e-08
0.8499941.7903475.676013e-08
0.8536871.7902165.575150e-08
0.8573951.7900855.473849e-08
0.861121.7899545.372109e-08
0.8648611.7898255.269926e-08
0.8686181.7896965.167299e-08
0.8723911.7895695.064226e-08
0.8761811.7894414.960706e-08
0.8799881.7893154.856736e-08
0.8838111.7891894.752314e-08
0.887651.7890644.647439e-08
0.8915061.788944.542108e-08
0.8953791.7888174.436319e-08
0.8992691.7886944.330071e-08
0.91.7886714.310100e-08
0.9031751.7885724.325307e-08
0.9070991.788454.344098e-08
0.911041.788334.362969e-08
0.9149981.7882094.381923e-08
0.9189721.788094.400959e-08
0.9229651.7879714.420078e-08
0.9269741.7878534.439280e-08
0.9310011.7877354.458565e-08
0.9350461.7876184.477934e-08
0.9391081.7875024.497387e-08
0.9431881.7873864.516925e-08
0.9472851.787274.536548e-08
0.95141.7871564.556256e-08
0.9555331.7870414.576049e-08
0.9596841.7869284.595928e-08
0.9638531.7868154.615894e-08
0.9680411.7867024.635947e-08
0.9722461.786594.656086e-08
0.976471.7864784.676313e-08
0.9807121.7863674.696628e-08
0.9849721.7862564.717032e-08
0.9892511.7861464.737524e-08
0.9935491.7860364.758105e-08
0.9978651.7859274.778775e-08
11.7858744.789000e-08
1.00221.7858184.778423e-08
1.006551.785714.757490e-08
1.010931.7856024.736466e-08
1.015321.7854954.715351e-08
1.019731.7853874.694144e-08
1.024161.7852814.672845e-08
1.028611.7851744.651453e-08
1.033081.7850694.629968e-08
1.037561.7849634.608391e-08
1.042071.7848584.586719e-08
1.04661.7847534.564953e-08
1.051151.7846484.543093e-08
1.055711.7845444.521137e-08
1.06031.784444.499087e-08
1.06491.7843374.476940e-08
1.069531.7842344.454697e-08
1.074181.7841314.432358e-08
1.078841.7840284.409921e-08
1.083531.7839264.387388e-08
1.088241.7838244.364756e-08
1.092961.7837224.342026e-08
1.097711.7836214.319197e-08
1.102481.7835194.296269e-08
1.107271.7834184.273241e-08
1.112081.7833184.250114e-08
1.116911.7832174.226885e-08
1.121761.7831174.203556e-08
1.126641.7830174.180126e-08
1.131531.7829174.156594e-08
1.136451.7828174.132960e-08
1.141381.7827184.109222e-08
1.146341.7826184.085382e-08
1.151321.7825194.061438e-08
1.156321.782424.037391e-08
1.161351.7823224.013238e-08
1.166391.7822233.988981e-08
1.171461.7821243.964619e-08
1.176551.7820263.940150e-08
1.181661.7819283.915576e-08
1.186791.7818293.890894e-08
1.191951.7817313.866106e-08
1.197131.7816333.841209e-08
1.21.7815793.827400e-08
1.202331.7815363.847856e-08
1.207551.7814383.893741e-08
1.21281.781343.939826e-08
1.218071.7812423.986112e-08
1.223361.7811454.032598e-08
1.228671.7810474.079286e-08
1.234011.780954.126178e-08
1.239371.7808524.173273e-08
1.244751.7807554.220572e-08
1.250161.7806584.268077e-08
1.255591.780564.315788e-08
1.261051.7804634.363707e-08
1.266531.7803654.411834e-08
1.272031.7802684.460169e-08
1.277551.780174.508715e-08
1.28311.7800734.557472e-08
1.288681.7799764.606440e-08
1.294281.7798784.655622e-08
1.29991.779784.705017e-08
1.305551.7796834.754626e-08
1.311221.7795854.804451e-08
1.316911.7794874.854493e-08
1.322641.7793894.904751e-08
1.328381.7792914.955229e-08
1.334151.7791935.005925e-08
1.339951.7790955.056842e-08
1.345771.7789975.107980e-08
1.351621.7788985.159340e-08
1.357491.77885.210923e-08
1.363381.7787015.262730e-08
1.369311.7786025.314762e-08
1.375261.7785035.367021e-08
1.381231.7784045.419506e-08
1.387231.7783045.472220e-08
1.393261.7782055.525162e-08
1.399311.7781055.578334e-08
1.41.7780945.584400e-08
1.405391.7780055.674916e-08
1.411491.7779055.777473e-08
1.417631.7778055.880476e-08
1.423781.7777045.983927e-08
1.429971.7776036.087826e-08
1.436181.7775026.192178e-08
1.442421.7774016.296982e-08
1.448691.7772996.402242e-08
1.454981.7771986.507959e-08
1.46131.7770956.614136e-08
1.467651.7769936.720773e-08
1.474031.776896.827874e-08
1.480431.7767876.935440e-08
1.486861.7766847.043474e-08
1.493321.776587.151976e-08
1.499811.7764767.260951e-08
1.506321.7763727.370398e-08
1.512871.7762687.480321e-08
1.519441.7761637.590722e-08
1.526041.7760577.701602e-08
1.532671.7759517.812964e-08
1.539331.7758457.924809e-08
1.546011.7757398.037141e-08
1.552731.7756328.149960e-08
1.559481.7755258.263270e-08
1.566251.7754178.377072e-08
1.573051.7753098.491368e-08
1.579891.77528.606161e-08
1.586751.7750918.721452e-08
1.593641.7749828.837245e-08
1.61.7748818.944000e-08
1.600571.7748728.975948e-08
1.607521.7747619.367103e-08
1.61451.7746519.759957e-08
1.621521.7745391.015452e-07
1.628561.7744271.055079e-07
1.635641.7743151.094879e-07
1.642741.7742021.134851e-07
1.649881.7740891.174997e-07
1.657051.7739751.215318e-07
1.664251.773861.255814e-07
1.671481.7737451.296485e-07
1.678741.7736291.337334e-07
1.686031.7735131.378360e-07
1.693351.7733961.419564e-07
1.700711.7732791.460947e-07
1.70811.7731611.502509e-07
1.715521.7730421.544253e-07
1.722971.7729231.586177e-07
1.730461.7728031.628284e-07
1.737971.7726831.670574e-07
1.745521.7725611.713047e-07
1.753111.772441.755705e-07
1.760721.7723171.798549e-07
1.768371.7721941.841578e-07
1.776051.772071.884794e-07
1.783771.7719451.928199e-07
1.791521.771821.971791e-07
1.79931.7716932.015573e-07
1.81.7716822.019500e-07
1.807121.7715672.102673e-07
1.814971.7714392.194399e-07
1.822851.771312.286523e-07
1.830771.7711812.379048e-07
1.838731.7710512.471974e-07
1.846711.770922.565304e-07
1.854741.7707892.659040e-07
1.862791.7706562.753182e-07
1.870891.7705232.847734e-07
1.879011.7703892.942697e-07
1.887181.7702543.038072e-07
1.895371.7701183.133861e-07
1.903611.7699813.230067e-07
1.911881.7698433.326690e-07
1.920181.7697053.423733e-07
1.928531.7695653.521198e-07
1.93691.7694253.619086e-07
1.945321.7692833.717400e-07
1.953771.7691413.816140e-07
1.962261.7689983.915310e-07
1.970781.7688534.014910e-07
1.979341.7687084.114943e-07
1.987941.7685624.215410e-07
1.996581.7684144.316314e-07
21.7683564.356300e-07
2.005251.7682664.516564e-07
2.013961.7681164.782419e-07
2.022711.7679665.049429e-07
2.03151.7678145.317599e-07
2.040321.7676615.586934e-07
2.049191.7675075.857439e-07
2.058091.7673526.129120e-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
—