Optical constants

Refractive index of P-LASFH12S (HIKARI)

P-LASFH12S: 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
1.79062
Extinction coefficient k
3.64647e-08
Permittivity ε1
3.20634
Permittivity ε2
1.30589e-07
Absorption coefficient α
0.00779832 cm⁻¹
Penetration depth δ = λ/(2πk)
2.56466e+09 nm
Abbe number Vd
44.984
Chromatic dispersion dn/dλ
-0.0900654 µm⁻¹
Group index ng
1.84355
Group velocity dispersion
166.211 fs²/mm
Dispersion parameter D
-906.767 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-LASFH12S (HIKARI): P-LASFH12S
mat = ls.fetch_refractiveindex("specs", "HIKARI-optical", "P-LASFH12S", 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=3.12620771−0.0131941997⁢λ2.0+0.0273755534⁢λ−2.0+0.000644833441⁢λ−4.0−4.45290808×10-6⁢λ−6.0+1.47682971×10-6⁢λ−8.0−5.38318514×10-5⁢λ4.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C13.12620771
C2-0.0131941997
C32.0
C40.0273755534
C5-2.0
C60.000644833441
C7-4.0
C8-4.45290808e-06
C9-6.0
C101.47682971e-06
C11-8.0
C12-5.38318514e-05
C134.0

Comments and conditions

Low Tg glass

Conditions

temperature
296 K

Properties

nd
1.790628
Vd
44.984151
glass status
preferred
density
value: 4680
thermal expansion
value: 7.5e-06, temperature range: 243 343
dPgF
-0.0086

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-LASFH12S (HIKARI), P-LASFH12S: n and k versus wavelength
λ (µm)nk
0.41.8225117.732600e-08
0.4005611.8223357.685955e-08
0.4011241.822167.639245e-08
0.4016871.8219857.592469e-08
0.402251.821817.545627e-08
0.4028151.8216377.498720e-08
0.403381.8214637.451747e-08
0.4039461.8212917.404708e-08
0.4045131.8211197.357602e-08
0.4050811.8209487.310431e-08
0.405651.8207777.263194e-08
0.4062191.8206077.215890e-08
0.4067891.8204377.168520e-08
0.407361.8202687.121083e-08
0.4079321.82017.073580e-08
0.4085041.8199327.026010e-08
0.4090781.8197656.978374e-08
0.4096521.8195996.930670e-08
0.4102271.8194336.882900e-08
0.4108031.8192676.835062e-08
0.4113791.8191026.787158e-08
0.4119571.8189386.739186e-08
0.4125351.8187746.691146e-08
0.4131141.8186116.643040e-08
0.4136941.8184486.594866e-08
0.4142741.8182866.546624e-08
0.4148561.8181256.498315e-08
0.4154381.8179646.449937e-08
0.4160211.8178046.401492e-08
0.4166051.8176446.352979e-08
0.417191.8174846.304398e-08
0.4177751.8173266.255748e-08
0.4183621.8171676.207031e-08
0.4189491.817016.158244e-08
0.4195371.8168536.109390e-08
0.421.8167296.070900e-08
0.4201261.8166966.063778e-08
0.4207151.816546.030336e-08
0.4213061.8163845.996846e-08
0.4218971.8162295.963310e-08
0.4224891.8160755.929726e-08
0.4230821.8159215.896096e-08
0.4236761.8157685.862418e-08
0.4242711.8156155.828693e-08
0.4248661.8154625.794920e-08
0.4254621.815315.761100e-08
0.426061.8151595.727233e-08
0.4266581.8150085.693318e-08
0.4272561.8148585.659356e-08
0.4278561.8147085.625346e-08
0.4284571.8145595.591288e-08
0.4290581.814415.557182e-08
0.429661.8142625.523029e-08
0.4302631.8141145.488827e-08
0.4308671.8139675.454578e-08
0.4314721.813825.420280e-08
0.4320771.8136735.385934e-08
0.4326841.8135285.351541e-08
0.4332911.8133825.317098e-08
0.4338991.8132375.282608e-08
0.4345081.8130935.248069e-08
0.4351181.8129495.213482e-08
0.4357291.8128065.178846e-08
0.436341.8126635.144161e-08
0.4369531.812525.109428e-08
0.4375661.8123785.074646e-08
0.438181.8122375.039815e-08
0.4387951.8120965.004936e-08
0.4394111.8119554.970007e-08
0.441.8118214.936600e-08
0.4400281.8118154.935884e-08
0.4406451.8116754.919906e-08
0.4412641.8115364.903907e-08
0.4418831.8113974.887885e-08
0.4425031.8112594.871840e-08
0.4431241.8111214.855773e-08
0.4437461.8109844.839684e-08
0.4443691.8108474.823572e-08
0.4449931.810714.807437e-08
0.4456171.8105744.791280e-08
0.4462431.8104394.775100e-08
0.4468691.8103044.758897e-08
0.4474961.8101694.742671e-08
0.4481241.8100354.726423e-08
0.4487531.8099014.710152e-08
0.4493831.8097684.693858e-08
0.4500141.8096354.677541e-08
0.4506451.8095024.661202e-08
0.4512781.809374.644839e-08
0.4519111.8092394.628453e-08
0.4525461.8091084.612045e-08
0.4531811.8089774.595613e-08
0.4538171.8088464.579158e-08
0.4544541.8087174.562681e-08
0.4550921.8085874.546180e-08
0.455731.8084584.529656e-08
0.456371.8083294.513108e-08
0.4570111.8082014.496538e-08
0.4576521.8080734.479944e-08
0.4582941.8079464.463327e-08
0.4589381.8078194.446687e-08
0.4595821.8076924.430023e-08
0.461.8076114.419200e-08
0.4602271.8075664.412623e-08
0.4608731.8074414.393881e-08
0.4615191.8073154.375113e-08
0.4621671.807194.356318e-08
0.4628161.8070664.337497e-08
0.4634651.8069424.318650e-08
0.4641161.8068184.299776e-08
0.4647671.8066954.280875e-08
0.465421.8065724.261949e-08
0.4660731.8064494.242995e-08
0.4667271.8063274.224015e-08
0.4673821.8062054.205008e-08
0.4680381.8060844.185975e-08
0.4686951.8059634.166915e-08
0.4693531.8058424.147828e-08
0.4700121.8057224.128714e-08
0.4706711.8056024.109574e-08
0.4713321.8054834.090406e-08
0.4719931.8053644.071212e-08
0.4726561.8052454.051991e-08
0.4733191.8051274.032743e-08
0.4739841.8050094.013468e-08
0.4746491.8048913.994165e-08
0.4753151.8047743.974836e-08
0.4759821.8046573.955480e-08
0.476651.8045413.936096e-08
0.4773191.8044253.916685e-08
0.4779891.8043093.897247e-08
0.478661.8041943.877782e-08
0.4793321.8040793.858289e-08
0.481.8039653.838900e-08
0.4800051.8039643.838845e-08
0.4806781.803853.830704e-08
0.4813531.8037363.822551e-08
0.4820281.8036233.814386e-08
0.4827051.8035093.806210e-08
0.4833821.8033973.798023e-08
0.4840611.8032843.789824e-08
0.484741.8031723.781613e-08
0.4854211.803063.773391e-08
0.4861021.8029493.765158e-08
0.4867841.8028383.756913e-08
0.4874671.8027273.748656e-08
0.4881521.8026173.740388e-08
0.4888371.8025073.732108e-08
0.4895231.8023973.723816e-08
0.490211.8022883.715513e-08
0.4908981.8021793.707198e-08
0.4915871.802073.698872e-08
0.4922771.8019623.690534e-08
0.4929681.8018543.682184e-08
0.493661.8017473.673822e-08
0.4943531.8016393.665449e-08
0.4950461.8015323.657064e-08
0.4957411.8014263.648667e-08
0.4964371.801323.640259e-08
0.4971341.8012143.631838e-08
0.4978321.8011083.623406e-08
0.498531.8010033.614962e-08
0.499231.8008983.606506e-08
0.4999311.8007933.598038e-08
0.51.8007833.597200e-08
0.5006321.8006893.590590e-08
0.5013351.8005853.583245e-08
0.5020391.8004813.575889e-08
0.5027431.8003783.568523e-08
0.5034491.8002753.561146e-08
0.5041551.8001723.553759e-08
0.5048631.800073.546362e-08
0.5055721.7999683.538954e-08
0.5062811.7998663.531536e-08
0.5069921.7997643.524108e-08
0.5077031.7996633.516669e-08
0.5084161.7995623.509220e-08
0.509131.7994623.501760e-08
0.5098441.7993623.494290e-08
0.510561.7992623.486809e-08
0.5112761.7991623.479318e-08
0.5119941.7990633.471816e-08
0.5127121.7989643.464304e-08
0.5134321.7988653.456781e-08
0.5141531.7987673.449248e-08
0.5148741.7986693.441704e-08
0.5155971.7985713.434150e-08
0.5163211.7984733.426584e-08
0.5170451.7983763.419009e-08
0.5177711.7982793.411422e-08
0.5184981.7981833.403825e-08
0.5192251.7980863.396218e-08
0.5199541.797993.388599e-08
0.5206841.7978953.380970e-08
0.5214151.7977993.373331e-08
0.5221471.7977043.365680e-08
0.5228791.7976093.358019e-08
0.5236131.7975153.350347e-08
0.5243481.797423.342664e-08
0.5250841.7973263.334971e-08
0.5258211.7972323.327267e-08
0.5265591.7971393.319551e-08
0.5272981.7970463.311825e-08
0.5280381.7969533.304089e-08
0.5287791.796863.296341e-08
0.5295211.7967683.288583e-08
0.5302651.7966763.280813e-08
0.5310091.7965843.273033e-08
0.5317541.7964933.265242e-08
0.5325011.7964023.257439e-08
0.5332481.7963113.249626e-08
0.5339961.796223.241802e-08
0.5347461.796133.233967e-08
0.5354961.7960393.226121e-08
0.5362481.795953.218264e-08
0.5370011.795863.210396e-08
0.5377541.7957713.202517e-08
0.5385091.7956823.194627e-08
0.5392651.7955933.186725e-08
0.5400221.7955043.178813e-08
0.540781.7954163.170889e-08
0.5415391.7953283.162955e-08
0.5422991.795243.155009e-08
0.543061.7951533.147052e-08
0.5438221.7950653.139084e-08
0.5445851.7949783.131105e-08
0.545351.7948923.123115e-08
0.5461151.7948053.115113e-08
0.5468821.7947193.107100e-08
0.5476491.7946333.099076e-08
0.5484181.7945473.091041e-08
0.5491871.7944623.082994e-08
0.5499581.7943773.074936e-08
0.551.7943723.074500e-08
0.550731.7942923.085607e-08
0.5515031.7942073.097366e-08
0.5522771.7941233.109141e-08
0.5530521.7940393.120932e-08
0.5538291.7939553.132740e-08
0.5546061.7938713.144565e-08
0.5553841.7937873.156406e-08
0.5561641.7937043.168263e-08
0.5569441.7936213.180138e-08
0.5577261.7935383.192029e-08
0.5585091.7934563.203937e-08
0.5592931.7933743.215861e-08
0.5600781.7932923.227802e-08
0.5608641.793213.239760e-08
0.5616511.7931283.251735e-08
0.5624391.7930473.263726e-08
0.5632291.7929663.275735e-08
0.5640191.7928853.287760e-08
0.5648111.7928053.299802e-08
0.5656041.7927243.311861e-08
0.5663971.7926443.323937e-08
0.5671921.7925643.336030e-08
0.5679881.7924853.348140e-08
0.5687861.7924053.360266e-08
0.5695841.7923263.372410e-08
0.5703831.7922473.384571e-08
0.5711841.7921683.396749e-08
0.5719861.792093.408944e-08
0.5727881.7920113.421156e-08
0.5735921.7919333.433386e-08
0.5743971.7918563.445632e-08
0.5752041.7917783.457896e-08
0.5760111.7917013.470177e-08
0.5768191.7916233.482475e-08
0.5776291.7915463.494790e-08
0.578441.791473.507123e-08
0.5792511.7913933.519473e-08
0.5800641.7913173.531840e-08
0.5808791.7912413.544225e-08
0.5816941.7911653.556627e-08
0.582511.7910893.569046e-08
0.5833281.7910143.581483e-08
0.5841471.7909393.593938e-08
0.5849661.7908643.606409e-08
0.5857871.7907893.618899e-08
0.586611.7907143.631406e-08
0.5874331.790643.643930e-08
0.5882571.7905663.656472e-08
0.5890831.7904923.669032e-08
0.589911.7904183.681609e-08
0.5907381.7903443.694204e-08
0.5915671.7902713.706816e-08
0.5923971.7901983.719446e-08
0.5932291.7901253.732094e-08
0.5940611.7900523.744760e-08
0.5948951.789983.757444e-08
0.595731.7899073.770145e-08
0.5965661.7898353.782864e-08
0.5974031.7897633.795601e-08
0.5982421.7896923.808356e-08
0.5990821.789623.821129e-08
0.5999221.7895493.833919e-08
0.61.7895423.835100e-08
0.6007641.7894783.832018e-08
0.6016081.7894073.828618e-08
0.6024521.7893363.825214e-08
0.6032981.7892663.821804e-08
0.6041441.7891953.818390e-08
0.6049921.7891253.814971e-08
0.6058411.7890553.811548e-08
0.6066921.7889863.808119e-08
0.6075431.7889163.804686e-08
0.6083961.7888473.801248e-08
0.609251.7887783.797805e-08
0.6101051.7887093.794357e-08
0.6109611.788643.790905e-08
0.6118191.7885713.787447e-08
0.6126771.7885033.783985e-08
0.6135371.7884353.780518e-08
0.6143981.7883673.777046e-08
0.6152611.7882993.773569e-08
0.6161241.7882313.770087e-08
0.6169891.7881643.766600e-08
0.6178551.7880963.763109e-08
0.6187221.7880293.759612e-08
0.6195911.7879623.756111e-08
0.620461.7878963.752605e-08
0.6213311.7878293.749093e-08
0.6222031.7877633.745577e-08
0.6230761.7876973.742056e-08
0.6239511.7876313.738530e-08
0.6248271.7875653.734999e-08
0.6257041.7874993.731463e-08
0.6265821.7874343.727922e-08
0.6274611.7873683.724377e-08
0.6283421.7873033.720826e-08
0.6292241.7872383.717270e-08
0.6301071.7871743.713709e-08
0.6309911.7871093.710143e-08
0.6318771.7870453.706573e-08
0.6327641.786983.702997e-08
0.6336521.7869163.699416e-08
0.6345411.7868523.695830e-08
0.6354321.7867893.692239e-08
0.6363241.7867253.688643e-08
0.6372171.7866623.685042e-08
0.6381111.7865993.681436e-08
0.6390071.7865363.677825e-08
0.6399041.7864733.674209e-08
0.6408021.786413.670588e-08
0.6417011.7863473.666961e-08
0.6426021.7862853.663330e-08
0.6435041.7862233.659694e-08
0.6444071.7861613.656052e-08
0.6453111.7860993.652405e-08
0.6462171.7860373.648753e-08
0.6471241.7859763.645096e-08
0.6480321.7859143.641434e-08
0.6489421.7858533.637767e-08
0.6498521.7857923.634095e-08
0.651.7857823.633500e-08
0.6507651.7857313.646357e-08
0.6516781.785673.661716e-08
0.6525931.785613.677097e-08
0.6535091.7855493.692499e-08
0.6544261.7854893.707923e-08
0.6553441.7854293.723369e-08
0.6562641.7853693.738836e-08
0.6571851.7853093.754325e-08
0.6581081.7852493.769836e-08
0.6590311.785193.785369e-08
0.6599561.7851313.800923e-08
0.6608821.7850713.816499e-08
0.661811.7850123.832097e-08
0.6627391.7849543.847717e-08
0.6636691.7848953.863359e-08
0.6646011.7848363.879022e-08
0.6655331.7847783.894708e-08
0.6664671.784723.910416e-08
0.6674031.7846613.926146e-08
0.668341.7846033.941898e-08
0.6692781.7845463.957672e-08
0.6702171.7844883.973468e-08
0.6711581.784433.989286e-08
0.67211.7843734.005126e-08
0.6730431.7843164.020989e-08
0.6739881.7842594.036874e-08
0.6749331.7842024.052781e-08
0.6758811.7841454.068711e-08
0.6768291.7840884.084663e-08
0.6777791.7840324.100637e-08
0.6787311.7839764.116634e-08
0.6796831.7839194.132653e-08
0.6806371.7838634.148695e-08
0.6815921.7838074.164759e-08
0.6825491.7837514.180846e-08
0.6835071.7836964.196956e-08
0.6844661.783644.213088e-08
0.6854271.7835854.229242e-08
0.6863891.783534.245419e-08
0.6873521.7834754.261619e-08
0.6883171.783424.277842e-08
0.6892831.7833654.294088e-08
0.6902511.783314.310356e-08
0.6912191.7832564.326647e-08
0.692191.7832014.342961e-08
0.6931611.7831474.359298e-08
0.6941341.7830934.375658e-08
0.6951081.7830394.392041e-08
0.6960841.7829854.408446e-08
0.6970611.7829314.424875e-08
0.6980391.7828784.441327e-08
0.6990191.7828244.457802e-08
0.71.7827714.474300e-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
—