Optical constants

Refractive index of L-LAH90 (OHARA)

L-LAH90: n,k 0.28–2.4 µm

Data
formula 2 + tabulated k
Range
0.28–2.4 µm
Temperature
298 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength. Note: k data cover 340-2400 nm only; k = 0 elsewhere in the n range 280-2400 nm.

At one wavelength

Range 0.28–2.4 µm
Refractive index n
1.8322
Extinction coefficient k
9.36134e-09
Permittivity ε1
3.35694
Permittivity ε2
3.43036e-08
Absorption coefficient α
0.00200201 cm⁻¹
Penetration depth δ = λ/(2πk)
9.98996e+09 nm
Abbe number Vd
40.098
Chromatic dispersion dn/dλ
-0.105799 µm⁻¹
Group index ng
1.89436
Group velocity dispersion
200.516 fs²/mm
Dispersion parameter D
-1093.92 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-LAH90 (OHARA): L-LAH90
ohara_l_lah90 = ls.fetch_refractiveindex("specs", "OHARA-optical", "L-LAH90", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_l_lah90.range_nm)  # (280, 2400) nm
eps = ohara_l_lah90.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=1.97595301λ2λ2−0.0104276395+0.283924985λ2λ2−0.0427708222+1.35176368λ2λ2−101.45371

Valid from 0.28 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.97595301
C30.0104276395
C40.283924985
C50.0427708222
C61.35176368
C7101.45371

Comments and conditions

Low Softening Temperature

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 5.28e-06 1.08e-08 3.8e-14 8.31e-07 7.62e-10 0.217
nd
1.832200
Vd
40.097595
density
value: 4650
thermal expansion
value: 6.3e-06, temperature range: 243 343
dPgF
-0.0052
resistance
acid: 5.2; climatic: 2.0; phosphate: 1.2

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 4.89e-06 K⁻¹ at 633 nm, dn/dT = 3.61e-06 K⁻¹ at 1310 nm, dn/dT = 3.51e-06 K⁻¹ at 1550 nm
Notes on the source data (kept exactly as published):
  • k data cover 340-2400 nm only; k = 0 elsewhere in the n range 280-2400 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 425 wavelengths, the same grid as the API and the library
L-LAH90 (OHARA), L-LAH90: n and k versus wavelength
λ (µm)nk
0.281.975550
0.2815121.9725920
0.2830321.9697130
0.284561.9669110
0.2860961.9641820
0.2876411.9615230
0.2891941.9589310
0.2907551.9564040
0.2923251.9539390
0.2939031.9515340
0.295491.9491860
0.2970851.9468930
0.2986891.9446530
0.3003021.9424640
0.3019231.9403250
0.3035531.9382330
0.3051921.9361870
0.306841.9341860
0.3084971.9322280
0.3101621.9303110
0.3118371.9284340
0.3135211.9265960
0.3152131.9247960
0.3169151.9230320
0.3186261.9213030
0.3203471.9196090
0.3220761.9179480
0.3238151.9163190
0.3255631.9147220
0.3273211.9131550
0.3290881.9116170
0.3308651.9101080
0.3326511.9086280
0.3344471.9071740
0.3362531.9057470
0.3380691.9043450
0.3398941.9029690
0.341.902898.105400e-06
0.3417291.9016177.352705e-06
0.3435741.9002896.549476e-06
0.3454291.8989845.741911e-06
0.3472941.8977024.929985e-06
0.3491691.8964414.113676e-06
0.351.8958923.751900e-06
0.3510541.8952033.536930e-06
0.352951.8939853.150427e-06
0.3548551.8927872.761837e-06
0.3567711.891612.371149e-06
0.3586971.8904521.978352e-06
0.361.8896831.712700e-06
0.3606341.8893131.662870e-06
0.3625811.8881931.509813e-06
0.3645391.8870911.355930e-06
0.3665071.8860071.201216e-06
0.3684861.884941.045667e-06
0.371.8841399.266200e-07
0.3704751.883899.076475e-07
0.3724751.8828578.277607e-07
0.3744861.881847.474425e-07
0.3765081.8808396.666907e-07
0.3785411.8798545.855030e-07
0.381.8791595.272300e-07
0.3805851.8788835.149176e-07
0.382641.8779284.716496e-07
0.3847051.8769874.281480e-07
0.3867821.8760613.844115e-07
0.3888711.8751493.404389e-07
0.391.8746633.166600e-07
0.390971.874253.063624e-07
0.3930811.8733652.839597e-07
0.3952031.8724922.614360e-07
0.3973371.8716332.387907e-07
0.3994821.8707872.160232e-07
0.41.8705852.105300e-07
0.4016391.8699532.027502e-07
0.4038081.8691311.924586e-07
0.4059881.8683211.821114e-07
0.408181.8675221.717084e-07
0.4103841.8667351.612492e-07
0.4125991.865961.507335e-07
0.4148271.8651951.401611e-07
0.4170671.8644411.295315e-07
0.4193181.8636981.188446e-07
0.421.8634761.156100e-07
0.4215821.8629661.126257e-07
0.4238591.8622431.083330e-07
0.4261471.8615311.040171e-07
0.4284481.8608299.967792e-08
0.4307611.8601369.531531e-08
0.4330871.8594539.092914e-08
0.4354251.8587798.651928e-08
0.4377761.8581148.208562e-08
0.441.8574977.789100e-08
0.4401391.8574587.773366e-08
0.4425161.8568117.505232e-08
0.4449051.8561737.235649e-08
0.4473071.8555446.964611e-08
0.4497221.8549236.692110e-08
0.452151.854316.418137e-08
0.4545911.8537056.142686e-08
0.4570461.8531095.865747e-08
0.4595131.852525.587313e-08
0.461.8524055.532400e-08
0.4619941.8519395.363534e-08
0.4644891.8513655.152326e-08
0.4669961.8507994.939978e-08
0.4695181.850244.726483e-08
0.4720531.8496894.511835e-08
0.4746011.8491454.296028e-08
0.4771641.8486074.079057e-08
0.479741.8480773.860913e-08
0.481.8480243.838900e-08
0.482331.8475533.670615e-08
0.4849341.8470363.482544e-08
0.4875531.8465253.293458e-08
0.4901851.8460213.103351e-08
0.4928311.8455242.912218e-08
0.4954921.8450322.720053e-08
0.4981671.8445472.526850e-08
0.51.8442192.394500e-08
0.5008571.8440672.368475e-08
0.5035611.8435942.286362e-08
0.506281.8431272.203806e-08
0.5090131.8426652.120804e-08
0.5117621.8422092.037354e-08
0.5145251.8417581.953453e-08
0.5173031.8413131.869100e-08
0.5200961.8408741.784290e-08
0.5229041.8404391.699023e-08
0.5257271.840011.613296e-08
0.5285651.8395871.527106e-08
0.5314191.8391681.440450e-08
0.5342881.8387541.353327e-08
0.5371731.8383451.265733e-08
0.5400731.8379411.177666e-08
0.5429891.8375421.089124e-08
0.5459211.8371481.000104e-08
0.5488681.8367589.106028e-09
0.551.836618.762300e-09
0.5518311.8363738.791478e-09
0.5548111.8359928.838945e-09
0.5578061.8356168.886669e-09
0.5608181.8352448.934650e-09
0.5638461.8348768.982891e-09
0.566891.8345139.031392e-09
0.5699511.8341549.080155e-09
0.5730281.8337999.129181e-09
0.5761221.8334489.178471e-09
0.5792321.8331019.228028e-09
0.582361.8327589.277852e-09
0.5855041.8324189.327946e-09
0.5886651.8320839.378310e-09
0.5918431.8317529.428945e-09
0.5950391.8314249.479855e-09
0.5982511.8310999.531039e-09
0.61.8309259.558900e-09
0.6014811.8307799.582484e-09
0.6047291.8304629.634190e-09
0.6079941.8301489.686175e-09
0.6112761.8298389.738440e-09
0.6145771.8295319.790988e-09
0.6178951.8292289.843820e-09
0.6212311.8289289.896936e-09
0.6245851.8286319.950340e-09
0.6279571.8283371.000403e-08
0.6313471.8280471.005801e-08
0.6347561.8277591.011229e-08
0.6381831.8274751.016685e-08
0.6416291.8271941.022171e-08
0.6450931.8269151.027687e-08
0.6485761.826641.033233e-08
0.651.8265291.035500e-08
0.6520781.8263681.015631e-08
0.6555981.8260989.819611e-09
0.6591381.8258319.481096e-09
0.6626971.8255679.140753e-09
0.6662741.8253068.798573e-09
0.6698721.8250478.454545e-09
0.6734881.8247918.108660e-09
0.6771251.8245377.760907e-09
0.680781.8242877.411277e-09
0.6844561.8240387.059759e-09
0.6881521.8237926.706343e-09
0.6918671.8235496.351019e-09
0.6956021.8233085.993777e-09
0.6993581.823075.634606e-09
0.71.8230295.573200e-09
0.7031341.8228335.598151e-09
0.706931.8225995.628377e-09
0.7107471.8223685.658766e-09
0.7145841.8221385.689319e-09
0.7184421.8219115.720038e-09
0.7223211.8216865.750922e-09
0.7262211.8214635.781972e-09
0.7301421.8212435.813191e-09
0.7340841.8210245.844578e-09
0.7380471.8208075.876134e-09
0.7420321.8205935.907861e-09
0.7460391.820385.939759e-09
0.7500661.8201695.971829e-09
0.7541161.8199616.004072e-09
0.7581881.8197546.036490e-09
0.7622811.8195496.069082e-09
0.7663971.8193466.101851e-09
0.7705351.8191446.134796e-09
0.7746951.8189456.167919e-09
0.7788771.8187476.201222e-09
0.7830831.8185516.234704e-09
0.787311.8183576.268366e-09
0.7915611.8181646.302211e-09
0.7958351.8179736.336238e-09
0.81.8177896.369400e-09
0.8001321.8177836.379895e-09
0.8044521.8175966.724136e-09
0.8087951.8174097.070236e-09
0.8131621.8172257.418204e-09
0.8175521.8170417.768050e-09
0.8219661.816868.119786e-09
0.8264041.8166798.473421e-09
0.8308661.8165018.828965e-09
0.8353521.8163239.186428e-09
0.8398621.8161479.545822e-09
0.8443961.8159739.907156e-09
0.8489551.8157991.027044e-08
0.8535391.8156271.063569e-08
0.8581471.8154571.100291e-08
0.862781.8152871.137211e-08
0.8674381.8151191.174330e-08
0.8721221.8149521.211650e-08
0.876831.8147861.249171e-08
0.8815651.8146221.286895e-08
0.8863241.8144581.324823e-08
0.8911091.8142961.362955e-08
0.8959211.8141351.401293e-08
0.91.8141.433800e-08
0.9007581.8139751.441053e-08
0.9056211.8138161.487599e-08
0.9105111.8136581.534396e-08
0.9154261.8135011.581447e-08
0.9203691.8133461.628751e-08
0.9253381.8131911.676310e-08
0.9303341.8130371.724127e-08
0.9353571.8128841.772201e-08
0.9404071.8127321.820535e-08
0.9454841.8125811.869131e-08
0.9505891.8124311.917988e-08
0.9557211.8122811.967109e-08
0.9608811.8121332.016496e-08
0.9660691.8119852.066149e-08
0.9712851.8118392.116070e-08
0.9765291.8116932.166260e-08
0.9818011.8115472.216722e-08
0.9871021.8114032.267456e-08
0.9924321.8112592.318464e-08
0.997791.8111162.369748e-08
11.8110582.390900e-08
1.003181.8109742.398496e-08
1.008591.8108322.411447e-08
1.014041.8106912.424467e-08
1.019511.8105512.437557e-08
1.025021.8104112.450718e-08
1.030551.8102722.463950e-08
1.036121.8101342.477254e-08
1.041711.8099962.490629e-08
1.047331.8098582.504077e-08
1.052991.8097222.517597e-08
1.058671.8095852.531190e-08
1.064391.809452.544857e-08
1.070141.8093142.558597e-08
1.075911.809182.572412e-08
1.081721.8090452.586301e-08
1.087561.8089112.600265e-08
1.093441.8087782.614305e-08
1.099341.8086452.628420e-08
1.105271.8085122.642612e-08
1.111241.808382.656880e-08
1.117241.8082482.671225e-08
1.123271.8081162.685648e-08
1.129341.8079852.700148e-08
1.135441.8078542.714727e-08
1.141571.8077232.729385e-08
1.147731.8075922.744122e-08
1.153931.8074622.758938e-08
1.160161.8073322.773834e-08
1.166421.8072022.788811e-08
1.172721.8070732.803868e-08
1.179051.8069442.819007e-08
1.185421.8068142.834228e-08
1.191821.8066852.849530e-08
1.198251.8065562.864916e-08
1.21.8065212.869100e-08
1.204721.8064282.906765e-08
1.211221.8062992.958677e-08
1.217761.806173.010868e-08
1.224341.8060423.063342e-08
1.230951.8059133.116098e-08
1.237591.8057853.169140e-08
1.244281.8056563.222468e-08
1.250991.8055283.276084e-08
1.257751.80543.329989e-08
1.264541.8052713.384185e-08
1.271371.8051433.438674e-08
1.278231.8050143.493458e-08
1.285131.8048863.548536e-08
1.292071.8047573.603913e-08
1.299051.8046283.659588e-08
1.306061.8044993.715564e-08
1.313111.804373.771842e-08
1.32021.8042413.828424e-08
1.327331.8041113.885311e-08
1.33451.8039823.942506e-08
1.34171.8038524.000009e-08
1.348941.8037224.057823e-08
1.356231.8035924.115949e-08
1.363551.8034614.174389e-08
1.370911.803334.233144e-08
1.378311.8031994.292217e-08
1.385751.8030684.351608e-08
1.393241.8029364.411320e-08
1.41.8028184.465300e-08
1.400761.8028044.477428e-08
1.408321.8026724.598323e-08
1.415931.8025394.719871e-08
1.423571.8024064.842075e-08
1.431261.8022724.964938e-08
1.438981.8021385.088466e-08
1.446751.8020045.212660e-08
1.454561.8018695.337524e-08
1.462421.8017345.463063e-08
1.470311.8015985.589280e-08
1.478251.8014625.716178e-08
1.486231.8013255.843761e-08
1.494261.8011875.972033e-08
1.502321.8010496.100997e-08
1.510431.8009116.230658e-08
1.518591.8007716.361019e-08
1.526791.8006326.492084e-08
1.535031.8004916.623856e-08
1.543321.800356.756340e-08
1.551651.8002086.889539e-08
1.560031.8000667.023457e-08
1.568451.7999237.158098e-08
1.576921.7997797.293466e-08
1.585431.7996347.429565e-08
1.593991.7994887.566399e-08
1.61.7993867.662400e-08
1.60261.7993427.787626e-08
1.611251.7991958.204273e-08
1.619951.7990478.623169e-08
1.62871.7988999.044326e-08
1.637491.7987499.467758e-08
1.646331.7985999.893475e-08
1.655221.7984471.032149e-07
1.664161.7982951.075182e-07
1.673141.7981421.118447e-07
1.682181.7979871.161945e-07
1.691261.7978321.205679e-07
1.700391.7976761.249649e-07
1.709571.7975191.293856e-07
1.71881.7973611.338301e-07
1.728081.7972011.382987e-07
1.737411.7970411.427914e-07
1.746791.7968791.473083e-07
1.756221.7967161.518496e-07
1.76571.7965531.564155e-07
1.775241.7963871.610060e-07
1.784821.7962211.656213e-07
1.794461.7960541.702615e-07
1.81.7959571.729300e-07
1.804151.7958851.797359e-07
1.813891.7957151.957234e-07
1.823681.7955442.117971e-07
1.833531.7953712.279577e-07
1.843431.7951972.442055e-07
1.853381.7950222.605410e-07
1.863391.7948452.769647e-07
1.873451.7946672.934770e-07
1.883561.7944873.100786e-07
1.893731.7943063.267697e-07
1.903951.7941233.435510e-07
1.914231.7939393.604229e-07
1.924571.7937543.773859e-07
1.934961.7935663.944404e-07
1.945411.7933774.115871e-07
1.955911.7931874.288263e-07
1.966471.7929954.461586e-07
1.977091.7928014.635845e-07
1.987761.7926064.811044e-07
1.998491.7924084.987190e-07
21.7923815.011900e-07
2.009281.7922095.412854e-07
2.020131.7920085.881342e-07
2.031041.7918066.352360e-07
2.042011.7916016.825920e-07
2.053031.7913957.302037e-07
2.064111.7911867.780725e-07
2.075261.7909768.261997e-07
2.086461.7907648.745867e-07
2.097731.790559.232350e-07
2.109051.7903339.721460e-07
2.120441.7901151.021321e-06
2.131891.7898951.070762e-06
2.14341.7896721.120469e-06
2.154971.7894471.170445e-06
2.166611.789221.220691e-06
2.17831.7889911.271207e-06
2.190071.7887591.321997e-06
2.21.7885631.364900e-06
2.201891.7885251.403918e-06
2.213781.7882891.649373e-06
2.225731.7880511.896153e-06
2.237751.787812.144265e-06
2.249831.7875662.393717e-06
2.261981.787322.644516e-06
2.274191.7870722.896669e-06
2.286471.7868213.150183e-06
2.298811.7865673.405066e-06
2.311221.7863113.661325e-06
2.32371.7860523.918968e-06
2.336251.785794.178002e-06
2.348861.7855254.438434e-06
2.361541.7852584.700272e-06
2.374291.7849884.963524e-06
2.387111.7847145.228198e-06
2.41.7844385.494300e-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
—