Optical constants

Refractive index of L-LAH84 (OHARA)

L-LAH84: n,k 0.34–2.4 µm

Data
formula 2 + tabulated k
Range
0.34–2.4 µm
Temperature
298 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.34–2.4 µm
Refractive index n
1.80835
Extinction coefficient k
9.36134e-09
Permittivity ε1
3.27012
Permittivity ε2
3.38571e-08
Absorption coefficient α
0.00200201 cm⁻¹
Penetration depth δ = λ/(2πk)
9.98996e+09 nm
Abbe number Vd
40.549
Chromatic dispersion dn/dλ
-0.101714 µm⁻¹
Group index ng
1.86811
Group velocity dispersion
192.099 fs²/mm
Dispersion parameter D
-1048 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

# L-LAH84 (OHARA): L-LAH84
ohara_l_lah84 = ls.fetch_refractiveindex("specs", "OHARA-optical", "L-LAH84", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_l_lah84.range_nm)  # (340, 2400) nm
eps = ohara_l_lah84.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

Sellmeier (C in µm²) (formula 2), λ in µm
n2−1=1.83606127λ2λ2−0.00981969903+0.341720032λ2λ2−0.0385636264+1.35280173λ2λ2−107.04553

Valid from 0.34 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.83606127
C30.00981969903
C40.341720032
C50.0385636264
C61.35280173
C7107.04553

Comments and conditions

Low Softening Temperature

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 8.14e-06 9.68e-09 -3.1e-12 8.24e-07 8.84e-10 0.23
nd
1.808350
Vd
40.548503
density
value: 4620
thermal expansion
value: 6e-06, temperature range: 243 343
dPgF
-0.007
resistance
acid: 51.3; climatic: 2.0; phosphate: 2.2

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 6.57e-06 K⁻¹ at 633 nm, dn/dT = 5.27e-06 K⁻¹ at 1310 nm, dn/dT = 5.16e-06 K⁻¹ at 1550 nm

References

Cite

OHARA Zemax catalog 2017-11-30 (obtained from http://www.ohara-inc.co.jp); See also OHARA 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 424 wavelengths, the same grid as the API and the library
L-LAH84 (OHARA), L-LAH84: n and k versus wavelength
λ (µm)nk
0.341.8755864.354500e-06
0.3416691.8744353.914066e-06
0.3433471.8733013.471470e-06
0.3450331.8721843.026700e-06
0.3467271.8710842.579747e-06
0.3484291.8700012.130599e-06
0.351.869021.716200e-06
0.350141.8689341.703174e-06
0.3518591.8678831.543291e-06
0.3535871.8668471.382623e-06
0.3553231.8658271.221166e-06
0.3570681.8648211.058916e-06
0.3588211.863838.958700e-07
0.361.8631747.862000e-07
0.3605831.8628537.642869e-07
0.3623531.8618916.976899e-07
0.3641321.8609426.307659e-07
0.365921.8600075.635133e-07
0.3677171.8590854.959305e-07
0.3695221.8581764.280158e-07
0.371.8579384.100400e-07
0.3713361.8572793.880592e-07
0.373161.8563963.580723e-07
0.3749921.8555243.279382e-07
0.3768331.8546642.976561e-07
0.3786831.8538172.672253e-07
0.381.8532232.455700e-07
0.3805431.8529812.408826e-07
0.3824111.8521562.247430e-07
0.3842891.8513422.085241e-07
0.3861761.850541.922255e-07
0.3880721.8497481.758470e-07
0.3899771.8489671.593880e-07
0.391.8489571.591900e-07
0.3918921.8481961.505272e-07
0.3938161.8474351.417164e-07
0.395751.8466851.328624e-07
0.3976931.8459441.239649e-07
0.3996451.8452131.150237e-07
0.41.8450821.134000e-07
0.4016081.8444921.099866e-07
0.403581.843781.057998e-07
0.4055611.8430771.015924e-07
0.4075521.8423839.736444e-08
0.4095531.8416989.311568e-08
0.4115641.8410228.884606e-08
0.4135851.8403548.455548e-08
0.4156161.8396958.024383e-08
0.4176561.8390447.591101e-08
0.4197071.8384027.155691e-08
0.421.8383117.093500e-08
0.4217681.8377676.934253e-08
0.4238391.8371416.747710e-08
0.425921.8365226.560251e-08
0.4280111.8359116.371871e-08
0.4301121.8353086.182567e-08
0.4322241.8347125.992333e-08
0.4343471.8341235.801165e-08
0.4364791.8335415.609058e-08
0.4386221.8329675.416009e-08
0.441.8326035.291900e-08
0.4407761.83245.229331e-08
0.442941.8318395.054800e-08
0.4451151.8312854.879412e-08
0.44731.8307384.703163e-08
0.4494971.8301984.526048e-08
0.4517041.8296644.348064e-08
0.4539211.8291364.169206e-08
0.456151.8286143.989470e-08
0.458391.8280993.808851e-08
0.461.8277343.679000e-08
0.4606411.827593.647109e-08
0.4629021.8270873.534497e-08
0.4651751.826593.421333e-08
0.4674591.8260983.307613e-08
0.4697541.8256123.193335e-08
0.4720611.8251323.078496e-08
0.4743791.8246582.963093e-08
0.4767081.8241892.847123e-08
0.4790481.8237252.730584e-08
0.481.8235392.683200e-08
0.48141.8232672.606982e-08
0.4837641.8228142.478340e-08
0.4861391.8223662.349066e-08
0.4885261.8219232.219158e-08
0.4909251.8214862.088612e-08
0.4933351.8210531.957425e-08
0.4957581.8206251.825594e-08
0.4981921.8202021.693115e-08
0.51.8198921.594700e-08
0.5006381.8197841.585535e-08
0.5030961.819371.550213e-08
0.5055661.8189611.514718e-08
0.5080481.8185571.479049e-08
0.5105431.8181571.443205e-08
0.513051.8177611.407184e-08
0.5155691.817371.370987e-08
0.51811.8169831.334612e-08
0.5206441.81661.298058e-08
0.52321.8162221.261325e-08
0.5257691.8158481.224412e-08
0.5283511.8154781.187317e-08
0.5309451.8151111.150040e-08
0.5335521.8147491.112581e-08
0.5361721.8143911.074937e-08
0.5388041.8140361.037108e-08
0.541451.8136869.990940e-09
0.5441081.8133399.608931e-09
0.546781.8129959.225046e-09
0.5494641.8126568.839276e-09
0.551.8125898.762300e-09
0.5521621.812328.796747e-09
0.5548731.8119878.839941e-09
0.5575981.8116588.883346e-09
0.5603351.8113338.926964e-09
0.5630871.8110118.970797e-09
0.5658511.8106929.014844e-09
0.568631.8103779.059108e-09
0.5714221.8100659.103589e-09
0.5742271.8097569.148289e-09
0.5770471.809459.193208e-09
0.579881.8091489.238348e-09
0.5827271.8088489.283709e-09
0.5855881.8085529.329293e-09
0.5884641.8082599.375101e-09
0.5913531.8079689.421134e-09
0.5942561.8076819.467393e-09
0.5971741.8073969.513879e-09
0.61.8071259.558900e-09
0.6001061.8071159.560592e-09
0.6030531.8068369.607506e-09
0.6060141.806569.654651e-09
0.6089891.8062879.702026e-09
0.6119791.8060169.749635e-09
0.6149841.8057489.797477e-09
0.6180041.8054839.845554e-09
0.6210381.805229.893868e-09
0.6240871.804969.942418e-09
0.6271521.8047039.991207e-09
0.6302311.8044481.004024e-08
0.6333251.8041951.008950e-08
0.6364351.8039451.013902e-08
0.639561.8036981.018877e-08
0.64271.8034521.023877e-08
0.6458561.8032091.028901e-08
0.6490271.8029691.033950e-08
0.651.8028961.035500e-08
0.6522131.8027311.014332e-08
0.6554161.8024959.837064e-09
0.6586341.8022619.529302e-09
0.6618681.8020299.220028e-09
0.6651171.80188.909236e-09
0.6683831.8015728.596918e-09
0.6716651.8013478.283066e-09
0.6749631.8011247.967673e-09
0.6782771.8009037.650732e-09
0.6816071.8006847.332235e-09
0.6849541.8004677.012174e-09
0.6883171.8002526.690541e-09
0.6916961.8000396.367329e-09
0.6950931.7998276.042530e-09
0.6985051.7996185.716137e-09
0.71.7995275.573200e-09
0.7019351.7994115.588607e-09
0.7053821.7992055.616048e-09
0.7088451.7990015.643623e-09
0.7123251.79885.671334e-09
0.7158231.7985995.699181e-09
0.7193371.7984015.727165e-09
0.7228691.7982045.755286e-09
0.7264191.7980095.783545e-09
0.7299851.7978165.811943e-09
0.7335691.7976245.840480e-09
0.7371711.7974345.869158e-09
0.7407911.7972465.897976e-09
0.7444281.7970595.926936e-09
0.7480831.7968745.956038e-09
0.7517561.796695.985283e-09
0.7554471.7965086.014671e-09
0.7591561.7963276.044204e-09
0.7628841.7961486.073882e-09
0.766631.795976.103705e-09
0.7703941.7957946.133675e-09
0.7741761.7956196.163792e-09
0.7779781.7954456.194057e-09
0.7817971.7952736.224470e-09
0.7856361.7951026.255033e-09
0.7894931.7949336.285746e-09
0.793371.7947656.316610e-09
0.7972651.7945986.347625e-09
0.81.7944826.369400e-09
0.801181.7944326.378793e-09
0.8051131.7942686.410113e-09
0.8090671.7941056.441588e-09
0.8130391.7939436.473217e-09
0.8170311.7937836.505001e-09
0.8210431.7936236.536941e-09
0.8250741.7934656.569038e-09
0.8291251.7933086.601293e-09
0.8331961.7931526.633706e-09
0.8372871.7929976.666278e-09
0.8413981.7928436.699010e-09
0.8455291.7926916.731903e-09
0.8496811.7925396.764957e-09
0.8538531.7923886.798174e-09
0.8580451.7922396.831554e-09
0.8622581.792096.865097e-09
0.8664921.7919436.898805e-09
0.8707461.7917966.932679e-09
0.8750211.7916516.966719e-09
0.8793181.7915067.000927e-09
0.8836351.7913637.035302e-09
0.8879741.791227.069846e-09
0.8923341.7910787.104559e-09
0.8967151.7909377.139444e-09
0.91.7908327.165600e-09
0.9011181.7907977.174498e-09
0.9055421.7906587.209721e-09
0.9099881.7905197.245117e-09
0.9144561.7903827.280687e-09
0.9189461.7902457.316431e-09
0.9234581.7901097.352351e-09
0.9279921.7899747.388447e-09
0.9325491.789847.424721e-09
0.9371281.7897067.461172e-09
0.9417291.7895737.497803e-09
0.9463531.7894417.534613e-09
0.9509991.789317.571604e-09
0.9556691.7891797.608777e-09
0.9603611.7890497.646133e-09
0.9650761.7889197.683671e-09
0.9698151.788797.721394e-09
0.9745761.7886627.759303e-09
0.9793621.7885357.797397e-09
0.984171.7884087.835678e-09
0.9890021.7882827.874148e-09
0.9938581.7881567.912806e-09
0.9987381.7880317.951654e-09
11.7879997.961700e-09
1.003641.7879067.990697e-09
1.008571.7877828.029932e-09
1.013521.7876598.069360e-09
1.01851.7875368.108982e-09
1.02351.7874138.148798e-09
1.028521.7872918.188810e-09
1.033571.787178.229018e-09
1.038651.7870498.269424e-09
1.043751.7869288.310027e-09
1.048871.7868088.350831e-09
1.054021.7866898.391835e-09
1.05921.7865698.433040e-09
1.06441.786458.474447e-09
1.069631.7863328.516057e-09
1.074881.7862148.557872e-09
1.080151.7860968.599893e-09
1.085461.7859798.642119e-09
1.090791.7858628.684553e-09
1.096141.7857458.727195e-09
1.101531.7856298.770047e-09
1.106931.7855128.813109e-09
1.112371.7853978.856382e-09
1.117831.7852818.899868e-09
1.123321.7851668.943568e-09
1.128831.7850518.987482e-09
1.134381.7849369.031611e-09
1.139951.7848229.075958e-09
1.145541.7847079.120522e-09
1.151171.7845939.165304e-09
1.156821.7844799.210307e-09
1.16251.7843669.255531e-09
1.168211.7842529.300977e-09
1.173941.7841399.346645e-09
1.179711.7840269.392539e-09
1.18551.7839139.438657e-09
1.191321.78389.485002e-09
1.197171.7836879.531574e-09
1.21.7836329.554100e-09
1.203051.7835749.748465e-09
1.208961.7834611.012503e-08
1.214891.7833491.050344e-08
1.220861.7832361.088371e-08
1.226851.7831241.126585e-08
1.232871.7830121.164986e-08
1.238931.7828991.203576e-08
1.245011.7827871.242355e-08
1.251121.7826741.281325e-08
1.257271.7825621.320486e-08
1.263441.782451.359839e-08
1.269641.7823371.399386e-08
1.275881.7822251.439127e-08
1.282141.7821121.479063e-08
1.288441.7821.519195e-08
1.294761.7818871.559524e-08
1.301121.7817751.600051e-08
1.307511.7816621.640777e-08
1.313931.7815491.681703e-08
1.320381.7814361.722830e-08
1.326861.7813231.764159e-08
1.333381.7812091.805690e-08
1.339931.7810961.847426e-08
1.34651.7809821.889367e-08
1.353121.7808691.931513e-08
1.359761.7807551.973867e-08
1.366441.780642.016428e-08
1.373141.7805262.059199e-08
1.379891.7804112.102179e-08
1.386661.7802962.145370e-08
1.393471.7801812.188774e-08
1.41.7800712.230400e-08
1.400311.7800662.232890e-08
1.407191.779952.287726e-08
1.41411.7798342.342830e-08
1.421041.7797182.398205e-08
1.428021.7796012.453852e-08
1.435031.7794842.509773e-08
1.442071.7793672.565967e-08
1.449161.7792492.622438e-08
1.456271.7791312.679186e-08
1.463421.7790132.736213e-08
1.470611.7788942.793519e-08
1.477831.7787752.851107e-08
1.485081.7786562.908978e-08
1.492371.7785362.967133e-08
1.49971.7784153.025573e-08
1.507071.7782943.084301e-08
1.514471.7781733.143316e-08
1.52191.7780513.202622e-08
1.529371.7779293.262218e-08
1.536881.7778063.322108e-08
1.544431.7776833.382291e-08
1.552011.7775593.442770e-08
1.559631.7774343.503546e-08
1.567291.7773093.564620e-08
1.574991.7771843.625994e-08
1.582721.7770583.687669e-08
1.590491.7769313.749647e-08
1.59831.7768043.811930e-08
1.61.7767763.825500e-08
1.606151.7766764.061495e-08
1.614031.7765474.364302e-08
1.621961.7764184.668595e-08
1.629921.7762884.974383e-08
1.637921.7761575.281672e-08
1.645971.7760265.590470e-08
1.654051.7758945.900784e-08
1.662171.7757616.212621e-08
1.670331.7756286.525990e-08
1.678531.7754936.840897e-08
1.686771.7753587.157351e-08
1.695051.7752227.475358e-08
1.703381.7750867.794927e-08
1.711741.7749488.116064e-08
1.720151.774818.438779e-08
1.728591.7746718.763078e-08
1.737081.7745319.088969e-08
1.745611.774399.416461e-08
1.754181.7742489.745560e-08
1.762791.7741061.007628e-07
1.771451.7739621.040861e-07
1.780141.7738181.074259e-07
1.788881.7736721.107820e-07
1.797671.7735261.141545e-07
1.81.7734871.150500e-07
1.806491.7733781.243987e-07
1.815361.773231.371668e-07
1.824281.773081.499975e-07
1.833231.772931.628913e-07
1.842241.7727781.758484e-07
1.851281.7726251.888691e-07
1.860371.7724722.019537e-07
1.869511.7723172.151026e-07
1.878681.7721612.283161e-07
1.887911.7720042.415944e-07
1.897181.7718452.549379e-07
1.906491.7716862.683469e-07
1.915851.7715252.818218e-07
1.925261.7713632.953628e-07
1.934711.77123.089703e-07
1.944211.7710363.226446e-07
1.953761.770873.363861e-07
1.963351.7707033.501951e-07
1.972991.7705353.640718e-07
1.982681.7703653.780167e-07
1.992411.7701943.920300e-07
21.770064.029500e-07
2.00221.7700224.100129e-07
2.012031.7698484.416211e-07
2.021911.7696734.733844e-07
2.031831.7694965.053037e-07
2.041811.7693185.373797e-07
2.051841.7691385.696132e-07
2.061911.7689576.020050e-07
2.072031.7687746.345558e-07
2.082211.768596.672665e-07
2.092431.7684057.001377e-07
2.10271.7682177.331704e-07
2.113031.7680287.663652e-07
2.12341.7678387.997230e-07
2.133831.7676458.332446e-07
2.144311.7674518.669308e-07
2.154831.7672569.007824e-07
2.165411.7670589.348002e-07
2.176051.7668599.689851e-07
2.186731.7666581.003338e-06
2.197471.7664561.037859e-06
2.21.7664081.046000e-06
2.208261.7662511.188690e-06
2.21911.7660451.376047e-06
2.231.7658361.564324e-06
2.240941.7656261.753526e-06
2.251951.7654141.943657e-06
2.2631.76522.134721e-06
2.274121.7649842.326724e-06
2.285281.7647652.519669e-06
2.29651.7645452.713561e-06
2.307781.7643232.908406e-06
2.319111.7640993.104207e-06
2.33051.7638723.300970e-06
2.341941.7636433.498698e-06
2.353441.7634123.697398e-06
2.364991.7631793.897073e-06
2.37661.7629444.097729e-06
2.388271.7627064.299369e-06
2.41.7624664.502000e-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
—