Optical constants

Refractive index of P-LASFH11S (HIKARI)

P-LASFH11S: n,k 0.4–0.7 µm

Data
formula 3 + tabulated k
Range
0.4–0.7 µm
Temperature
296 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.4–0.7 µm
Refractive index n
1.77387
Extinction coefficient k
4.95277e-08
Permittivity ε1
3.1466
Permittivity ε2
1.75711e-07
Absorption coefficient α
0.010592 cm⁻¹
Penetration depth δ = λ/(2πk)
1.88822e+09 nm
Abbe number Vd
47.253
Chromatic dispersion dn/dλ
-0.0840879 µm⁻¹
Group index ng
1.82328
Group velocity dispersion
153.209 fs²/mm
Dispersion parameter D
-835.835 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

# P-LASFH11S (HIKARI): P-LASFH11S
mat = ls.fetch_refractiveindex("specs", "HIKARI-optical", "P-LASFH11S", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mat.range_nm)  # (400, 700) 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=3.07248878−0.0130910046⁢λ2.0+0.0257175166⁢λ−2.0+0.000468797447⁢λ−4.0+8.26140166×10-6⁢λ−6.0+4.96911029×10-7⁢λ−8.0−0.000149735345⁢λ4.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C13.07248878
C2-0.0130910046
C32.0
C40.0257175166
C5-2.0
C60.000468797447
C7-4.0
C88.26140166e-06
C9-6.0
C104.96911029e-07
C11-8.0
C12-0.000149735345
C134.0

Comments and conditions

Low Tg glass

Conditions

temperature
296 K

Properties

nd
1.773870
Vd
47.253126
glass status
preferred
density
value: 4630
thermal expansion
value: 7.4e-06, temperature range: 243 343
dPgF
-0.0088

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 408 wavelengths, the same grid as the API and the library
P-LASFH11S (HIKARI), P-LASFH11S: n and k versus wavelength
λ (µm)nk
0.41.8033891.068100e-07
0.4005611.8032271.059948e-07
0.4011241.8030661.051785e-07
0.4016871.8029051.043611e-07
0.402251.8027451.035424e-07
0.4028151.8025851.027227e-07
0.403381.8024261.019018e-07
0.4039461.8022671.010797e-07
0.4045131.8021091.002565e-07
0.4050811.8019529.943215e-08
0.405651.8017959.860662e-08
0.4062191.8016389.777994e-08
0.4067891.8014829.695209e-08
0.407361.8013279.612309e-08
0.4079321.8011729.529292e-08
0.4085041.8010189.446158e-08
0.4090781.8008649.362908e-08
0.4096521.8007119.279541e-08
0.4102271.8005589.196057e-08
0.4108031.8004059.112456e-08
0.4113791.8002549.028737e-08
0.4119571.8001028.944901e-08
0.4125351.7999528.860948e-08
0.4131141.7998018.776876e-08
0.4136941.7996528.692687e-08
0.4142741.7995038.608379e-08
0.4148561.7993548.523953e-08
0.4154381.7992068.439408e-08
0.4160211.7990588.354745e-08
0.4166051.7989118.269963e-08
0.417191.7987648.185062e-08
0.4177751.7986188.100042e-08
0.4183621.7984728.014903e-08
0.4189491.7983277.929644e-08
0.4195371.7981827.844265e-08
0.421.7980687.777000e-08
0.4201261.7980387.770343e-08
0.4207151.7978947.739082e-08
0.4213061.797757.707777e-08
0.4218971.7976087.676429e-08
0.4224891.7974657.645036e-08
0.4230821.7973237.613600e-08
0.4236761.7971827.582119e-08
0.4242711.7970417.550594e-08
0.4248661.79697.519025e-08
0.4254621.796767.487411e-08
0.426061.7966217.455753e-08
0.4266581.7964827.424051e-08
0.4272561.7963437.392304e-08
0.4278561.7962057.360513e-08
0.4284571.7960677.328677e-08
0.4290581.795937.296796e-08
0.429661.7957937.264871e-08
0.4302631.7956577.232901e-08
0.4308671.7955217.200886e-08
0.4314721.7953857.168826e-08
0.4320771.795257.136721e-08
0.4326841.7951167.104570e-08
0.4332911.7949827.072375e-08
0.4338991.7948487.040135e-08
0.4345081.7947157.007849e-08
0.4351181.7945826.975518e-08
0.4357291.7944496.943142e-08
0.436341.7943176.910720e-08
0.4369531.7941866.878253e-08
0.4375661.7940556.845740e-08
0.438181.7939246.813182e-08
0.4387951.7937946.780578e-08
0.4394111.7936646.747928e-08
0.441.793546.716700e-08
0.4400281.7935356.715060e-08
0.4406451.7934066.678489e-08
0.4412641.7932776.641867e-08
0.4418831.7931496.605194e-08
0.4425031.7930216.568469e-08
0.4431241.7928946.531693e-08
0.4437461.7927676.494865e-08
0.4443691.792646.457985e-08
0.4449931.7925146.421053e-08
0.4456171.7923896.384070e-08
0.4462431.7922636.347035e-08
0.4468691.7921396.309947e-08
0.4474961.7920146.272808e-08
0.4481241.791896.235617e-08
0.4487531.7917666.198373e-08
0.4493831.7916436.161077e-08
0.4500141.791526.123729e-08
0.4506451.7913986.086328e-08
0.4512781.7912766.048875e-08
0.4519111.7911546.011369e-08
0.4525461.7910335.973811e-08
0.4531811.7909125.936200e-08
0.4538171.7907915.898536e-08
0.4544541.7906715.860819e-08
0.4550921.7905515.823050e-08
0.455731.7904325.785227e-08
0.456371.7903135.747351e-08
0.4570111.7901955.709422e-08
0.4576521.7900765.671440e-08
0.4582941.7899585.633405e-08
0.4589381.7898415.595316e-08
0.4595821.7897245.557174e-08
0.461.7896485.532400e-08
0.4602271.7896075.521962e-08
0.4608731.7894915.492216e-08
0.4615191.7893755.462429e-08
0.4621671.7892595.432600e-08
0.4628161.7891445.402729e-08
0.4634651.7890295.372816e-08
0.4641161.7889155.342861e-08
0.4647671.78885.312864e-08
0.465421.7886875.282825e-08
0.4660731.7885735.252743e-08
0.4667271.788465.222620e-08
0.4673821.7883475.192454e-08
0.4680381.7882355.162246e-08
0.4686951.7881235.131995e-08
0.4693531.7880115.101703e-08
0.4700121.78795.071367e-08
0.4706711.7877895.040989e-08
0.4713321.7876785.010568e-08
0.4719931.7875684.980105e-08
0.4726561.7874584.949599e-08
0.4733191.7873494.919050e-08
0.4739841.7872394.888458e-08
0.4746491.7871314.857823e-08
0.4753151.7870224.827146e-08
0.4759821.7869144.796425e-08
0.476651.7868064.765661e-08
0.4773191.7866984.734854e-08
0.4779891.7865914.704003e-08
0.478661.7864844.673110e-08
0.4793321.7863784.642173e-08
0.481.7862724.611400e-08
0.4800051.7862724.611262e-08
0.4806781.7861664.590630e-08
0.4813531.786064.569969e-08
0.4820281.7859554.549279e-08
0.4827051.785854.528560e-08
0.4833821.7857464.507811e-08
0.4840611.7856414.487034e-08
0.484741.7855374.466228e-08
0.4854211.7854344.445392e-08
0.4861021.7853314.424527e-08
0.4867841.7852284.403633e-08
0.4874671.7851254.382709e-08
0.4881521.7850234.361757e-08
0.4888371.7849214.340774e-08
0.4895231.7848194.319763e-08
0.490211.7847184.298721e-08
0.4908981.7846164.277651e-08
0.4915871.7845164.256550e-08
0.4922771.7844154.235420e-08
0.4929681.7843154.214261e-08
0.493661.7842154.193072e-08
0.4943531.7841164.171853e-08
0.4950461.7840174.150604e-08
0.4957411.7839184.129325e-08
0.4964371.7838194.108017e-08
0.4971341.7837214.086678e-08
0.4978321.7836234.065310e-08
0.498531.7835254.043911e-08
0.499231.7834284.022483e-08
0.4999311.783334.001025e-08
0.51.7833213.998900e-08
0.5006321.7832343.998369e-08
0.5013351.7831373.997779e-08
0.5020391.7830413.997188e-08
0.5027431.7829453.996596e-08
0.5034491.7828493.996003e-08
0.5041551.7827543.995409e-08
0.5048631.7826593.994815e-08
0.5055721.7825643.994220e-08
0.5062811.782473.993624e-08
0.5069921.7823753.993027e-08
0.5077031.7822813.992429e-08
0.5084161.7821883.991831e-08
0.509131.7820943.991231e-08
0.5098441.7820013.990631e-08
0.510561.7819093.990030e-08
0.5112761.7818163.989428e-08
0.5119941.7817243.988825e-08
0.5127121.7816323.988222e-08
0.5134321.781543.987617e-08
0.5141531.7814493.987012e-08
0.5148741.7813583.986406e-08
0.5155971.7812673.985799e-08
0.5163211.7811763.985191e-08
0.5170451.7810863.984582e-08
0.5177711.7809963.983972e-08
0.5184981.7809063.983362e-08
0.5192251.7808173.982751e-08
0.5199541.7807273.982139e-08
0.5206841.7806383.981526e-08
0.5214151.780553.980912e-08
0.5221471.7804613.980297e-08
0.5228791.7803733.979681e-08
0.5236131.7802853.979065e-08
0.5243481.7801973.978448e-08
0.5250841.780113.977829e-08
0.5258211.7800233.977210e-08
0.5265591.7799363.976590e-08
0.5272981.7798493.975970e-08
0.5280381.7797633.975348e-08
0.5287791.7796773.974725e-08
0.5295211.7795913.974102e-08
0.5302651.7795053.973478e-08
0.5310091.779423.972853e-08
0.5317541.7793353.972226e-08
0.5325011.779253.971600e-08
0.5332481.7791653.970972e-08
0.5339961.7790813.970343e-08
0.5347461.7789973.969714e-08
0.5354961.7789133.969083e-08
0.5362481.7788293.968452e-08
0.5370011.7787463.967820e-08
0.5377541.7786633.967186e-08
0.5385091.778583.966552e-08
0.5392651.7784973.965918e-08
0.5400221.7784153.965282e-08
0.540781.7783333.964645e-08
0.5415391.7782513.964008e-08
0.5422991.7781693.963369e-08
0.543061.7780883.962730e-08
0.5438221.7780073.962089e-08
0.5445851.7779263.961448e-08
0.545351.7778453.960806e-08
0.5461151.7777643.960163e-08
0.5468821.7776843.959519e-08
0.5476491.7776043.958875e-08
0.5484181.7775243.958229e-08
0.5491871.7774453.957583e-08
0.5499581.7773653.956935e-08
0.551.7773613.956900e-08
0.550731.7772863.976240e-08
0.5515031.7772073.996712e-08
0.5522771.7771294.017214e-08
0.5530521.777054.037744e-08
0.5538291.7769724.058303e-08
0.5546061.7768944.078891e-08
0.5553841.7768164.099508e-08
0.5561641.7767394.120154e-08
0.5569441.7766624.140829e-08
0.5577261.7765844.161532e-08
0.5585091.7765084.182265e-08
0.5592931.7764314.203027e-08
0.5600781.7763554.223818e-08
0.5608641.7762784.244639e-08
0.5616511.7762024.265488e-08
0.5624391.7761274.286367e-08
0.5632291.7760514.307275e-08
0.5640191.7759764.328212e-08
0.5648111.7759014.349179e-08
0.5656041.7758264.370175e-08
0.5663971.7757514.391201e-08
0.5671921.7756764.412256e-08
0.5679881.7756024.433341e-08
0.5687861.7755284.454455e-08
0.5695841.7754544.475599e-08
0.5703831.7753814.496773e-08
0.5711841.7753074.517976e-08
0.5719861.7752344.539209e-08
0.5727881.7751614.560472e-08
0.5735921.7750884.581765e-08
0.5743971.7750154.603088e-08
0.5752041.7749434.624440e-08
0.5760111.7748714.645823e-08
0.5768191.7747994.667235e-08
0.5776291.7747274.688678e-08
0.578441.7746554.710151e-08
0.5792511.7745844.731654e-08
0.5800641.7745134.753187e-08
0.5808791.7744424.774750e-08
0.5816941.7743714.796343e-08
0.582511.77434.817967e-08
0.5833281.774234.839621e-08
0.5841471.774164.861306e-08
0.5849661.774094.883021e-08
0.5857871.774024.904766e-08
0.586611.773954.926542e-08
0.5874331.7738814.948349e-08
0.5882571.7738124.970186e-08
0.5890831.7737434.992054e-08
0.589911.7736745.013953e-08
0.5907381.7736055.035882e-08
0.5915671.7735375.057842e-08
0.5923971.7734685.079833e-08
0.5932291.77345.101854e-08
0.5940611.7733325.123907e-08
0.5948951.7732655.145991e-08
0.595731.7731975.168105e-08
0.5965661.773135.190251e-08
0.5974031.7730625.212427e-08
0.5982421.7729955.234635e-08
0.5990821.7729295.256874e-08
0.5999221.7728625.279144e-08
0.61.7728565.281200e-08
0.6007641.7727965.295928e-08
0.6016081.7727295.312175e-08
0.6024521.7726635.328444e-08
0.6032981.7725975.344737e-08
0.6041441.7725325.361052e-08
0.6049921.7724665.377390e-08
0.6058411.7724015.393751e-08
0.6066921.7723365.410135e-08
0.6075431.7722715.426541e-08
0.6083961.7722065.442971e-08
0.609251.7721415.459424e-08
0.6101051.7720775.475900e-08
0.6109611.7720125.492400e-08
0.6118191.7719485.508922e-08
0.6126771.7718845.525468e-08
0.6135371.771825.542036e-08
0.6143981.7717575.558628e-08
0.6152611.7716935.575244e-08
0.6161241.771635.591882e-08
0.6169891.7715675.608544e-08
0.6178551.7715045.625230e-08
0.6187221.7714415.641938e-08
0.6195911.7713795.658671e-08
0.620461.7713165.675426e-08
0.6213311.7712545.692206e-08
0.6222031.7711925.709008e-08
0.6230761.771135.725835e-08
0.6239511.7710685.742685e-08
0.6248271.7710075.759558e-08
0.6257041.7709455.776456e-08
0.6265821.7708845.793377e-08
0.6274611.7708235.810321e-08
0.6283421.7707625.827290e-08
0.6292241.7707015.844282e-08
0.6301071.770645.861299e-08
0.6309911.770585.878339e-08
0.6318771.770525.895403e-08
0.6327641.7704595.912491e-08
0.6336521.7703995.929603e-08
0.6345411.770345.946739e-08
0.6354321.770285.963899e-08
0.6363241.770225.981083e-08
0.6372171.7701615.998291e-08
0.6381111.7701026.015523e-08
0.6390071.7700436.032780e-08
0.6399041.7699846.050061e-08
0.6408021.7699256.067366e-08
0.6417011.7698676.084695e-08
0.6426021.7698086.102049e-08
0.6435041.769756.119427e-08
0.6444071.7696926.136829e-08
0.6453111.7696346.154256e-08
0.6462171.7695766.171707e-08
0.6471241.7695186.189183e-08
0.6480321.7694616.206684e-08
0.6489421.7694036.224208e-08
0.6498521.7693466.241758e-08
0.651.7693376.244600e-08
0.6507651.7692896.269206e-08
0.6516781.7692326.298600e-08
0.6525931.7691756.328035e-08
0.6535091.7691186.357512e-08
0.6544261.7690626.387030e-08
0.6553441.7690066.416589e-08
0.6562641.7689496.446190e-08
0.6571851.7688936.475832e-08
0.6581081.7688376.505516e-08
0.6590311.7687816.535242e-08
0.6599561.7687266.565009e-08
0.6608821.768676.594818e-08
0.661811.7686156.624669e-08
0.6627391.768566.654562e-08
0.6636691.7685056.684497e-08
0.6646011.768456.714474e-08
0.6655331.7683956.744493e-08
0.6664671.768346.774554e-08
0.6674031.7682866.804657e-08
0.668341.7682316.834803e-08
0.6692781.7681776.864991e-08
0.6702171.7681236.895221e-08
0.6711581.7680696.925493e-08
0.67211.7680156.955809e-08
0.6730431.7679616.986166e-08
0.6739881.7679087.016566e-08
0.6749331.7678547.047009e-08
0.6758811.7678017.077495e-08
0.6768291.7677487.108023e-08
0.6777791.7676947.138595e-08
0.6787311.7676427.169209e-08
0.6796831.7675897.199866e-08
0.6806371.7675367.230566e-08
0.6815921.7674837.261310e-08
0.6825491.7674317.292096e-08
0.6835071.7673797.322926e-08
0.6844661.7673277.353799e-08
0.6854271.7672757.384715e-08
0.6863891.7672237.415675e-08
0.6873521.7671717.446678e-08
0.6883171.7671197.477724e-08
0.6892831.7670687.508814e-08
0.6902511.7670167.539948e-08
0.6912191.7669657.571126e-08
0.692191.7669147.602347e-08
0.6931611.7668637.633612e-08
0.6941341.7668127.664921e-08
0.6951081.7667617.696274e-08
0.6960841.7667117.727671e-08
0.6970611.766667.759112e-08
0.6980391.766617.790597e-08
0.6990191.7665597.822126e-08
0.71.7665097.853700e-08

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
—