Optical constants

Refractive index of LAH78 (OHARA)

LAH78: n,k 0.3–2.4 µm

Data
formula 2 + tabulated k
Range
0.3–2.4 µm
Temperature
298 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength. Note: k data cover 360-2400 nm only; k = 0 elsewhere in the n range 300-2400 nm.

At one wavelength

Range 0.3–2.4 µm
Refractive index n
1.90135
Extinction coefficient k
2.31095e-08
Permittivity ε1
3.61513
Permittivity ε2
8.78783e-08
Absorption coefficient α
0.00494217 cm⁻¹
Penetration depth δ = λ/(2πk)
4.04680e+09 nm
Abbe number Vd
31.55
Chromatic dispersion dn/dλ
-0.144163 µm⁻¹
Group index ng
1.98606
Group velocity dispersion
286.47 fs²/mm
Dispersion parameter D
-1562.85 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

# LAH78 (OHARA): LAH78
ohara_lah78 = ls.fetch_refractiveindex("specs", "OHARA-optical", "LAH78", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_lah78.range_nm)  # (300, 2400) nm
eps = ohara_lah78.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=2.08122726λ2λ2−0.011190641+0.398632407λ2λ2−0.0521753272+2.21679491λ2λ2−141.893166

Valid from 0.3 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C22.08122726
C30.011190641
C40.398632407
C50.0521753272
C62.21679491
C7141.893166

Comments and conditions

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 7.34e-06 0.0 0.0 0.0 0.0 0.0
nd
1.901355
Vd
31.550244
glass code
901315
glass status
preferred
density
value: 4480
thermal expansion
value: 6e-06, temperature range: 243 343; value: 7.4e-06, temperature range: 293 573
dPgF
0.0042
resistance
acid: 3.0; phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 5.02e-06 K⁻¹ at 633 nm, dn/dT = 4.88e-06 K⁻¹ at 1310 nm, dn/dT = 4.85e-06 K⁻¹ at 1550 nm
Notes on the source data (kept exactly as published):
  • k data cover 360-2400 nm only; k = 0 elsewhere in the n range 300-2400 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 422 wavelengths, the same grid as the API and the library
LAH78 (OHARA), LAH78: n and k versus wavelength
λ (µm)nk
0.32.0793880
0.3015682.0753240
0.3031432.0713850
0.3047272.0675650
0.306322.0638580
0.307922.060260
0.3095292.0567640
0.3111472.0533670
0.3127722.0500640
0.3144072.0468510
0.3160492.0437230
0.3177012.0406790
0.3193612.0377130
0.321032.0348230
0.3227072.0320060
0.3243932.0292590
0.3260882.026580
0.3277922.0239650
0.3295052.0214120
0.3312272.018920
0.3329582.0164850
0.3346972.0141060
0.3364462.0117810
0.3382042.0095070
0.3399712.0072840
0.3417482.005110
0.3435342.0029820
0.3453292.0008990
0.3471331.9988610
0.3489471.9968650
0.350771.994910
0.3526031.9929950
0.3544461.9911190
0.3562981.989280
0.3581591.9874770
0.361.9857391.319300e-05
0.3600311.985711.316492e-05
0.3619121.9839771.145088e-05
0.3638031.9822779.727884e-06
0.3657041.980617.995884e-06
0.3676151.9789746.254833e-06
0.3695361.9773694.504685e-06
0.371.9769874.081800e-06
0.3714671.9757933.724699e-06
0.3734081.9742473.252143e-06
0.3753591.9727282.777117e-06
0.377321.9712372.299609e-06
0.3792921.9697721.819607e-06
0.381.9692551.647200e-06
0.3812741.9683341.545877e-06
0.3832661.9669211.387398e-06
0.3852691.9655321.228090e-06
0.3872821.9641681.067951e-06
0.3893051.9628279.069742e-07
0.391.9623748.517200e-07
0.391341.9615098.069221e-07
0.3933841.9602137.385405e-07
0.395441.958946.698016e-07
0.3975061.9576876.007035e-07
0.3995831.9564555.312444e-07
0.41.9562115.173100e-07
0.4016711.9552444.952531e-07
0.403771.9540524.675528e-07
0.405881.9528794.397077e-07
0.4080011.9517264.117172e-07
0.4101331.9505913.835803e-07
0.4122761.9494743.552965e-07
0.414431.9483753.268649e-07
0.4165951.9472932.982847e-07
0.4187721.9462282.695551e-07
0.421.9456372.533500e-07
0.420961.945182.489262e-07
0.423161.9441472.387937e-07
0.4253711.9431312.286082e-07
0.4275941.942132.183695e-07
0.4298281.9411442.080773e-07
0.4320741.9401731.977313e-07
0.4343321.9392171.873313e-07
0.4366011.9382751.768769e-07
0.4388821.9373471.663679e-07
0.441.9368991.612200e-07
0.4411761.9364331.589637e-07
0.4434811.9355321.545400e-07
0.4457981.9346441.500931e-07
0.4481281.9337691.456230e-07
0.4504691.9329071.411295e-07
0.4528231.9320571.366125e-07
0.4551891.9312191.320720e-07
0.4575681.9303941.275077e-07
0.4599591.929581.229195e-07
0.461.9295661.228400e-07
0.4623621.9287771.192913e-07
0.4647781.9279861.156615e-07
0.4672061.9272061.120126e-07
0.4696481.9264361.083448e-07
0.4721021.9256771.046577e-07
0.4745691.9249291.009514e-07
0.4770481.9241919.722574e-08
0.4795411.9234639.348059e-08
0.481.9233319.279100e-08
0.4820471.9227459.027669e-08
0.4845661.9220378.718246e-08
0.4870981.9213388.407206e-08
0.4896431.9206498.094541e-08
0.4922011.9199687.780242e-08
0.4947731.9192977.464301e-08
0.4973581.9186357.146709e-08
0.4999571.9179816.827457e-08
0.51.9179716.822200e-08
0.502571.9173366.652262e-08
0.5051961.91676.478591e-08
0.5078351.9160716.304013e-08
0.5104891.9154516.128522e-08
0.5131561.9148395.952115e-08
0.5158381.9142355.774785e-08
0.5185331.9136395.596530e-08
0.5212431.913055.417342e-08
0.5239661.9124685.237219e-08
0.5267041.9118945.056154e-08
0.5294561.9113284.874143e-08
0.5322231.9107684.691181e-08
0.5350041.9102154.507263e-08
0.5377991.9096694.322384e-08
0.5406091.9091314.136539e-08
0.5434341.9085983.949723e-08
0.5462741.9080723.761930e-08
0.5491281.9075533.573157e-08
0.551.9073963.515500e-08
0.5519981.907043.451508e-08
0.5548821.9065343.359106e-08
0.5577811.9060333.266221e-08
0.5606961.9055393.172851e-08
0.5636261.905053.078993e-08
0.5665711.9045682.984644e-08
0.5695311.9040912.889803e-08
0.5725071.903622.794466e-08
0.5754981.9031542.698631e-08
0.5785061.9026942.602295e-08
0.5815281.9022392.505455e-08
0.5845671.901792.408110e-08
0.5876221.9013462.310256e-08
0.5906921.9009072.211891e-08
0.5937791.9004732.113011e-08
0.5968811.9000452.013615e-08
0.61.8996211.913700e-08
0.6031351.8992021.891152e-08
0.6062871.8987881.868486e-08
0.6094551.8983781.845702e-08
0.6126391.8979731.822799e-08
0.615841.8975731.799776e-08
0.6190581.8971781.776633e-08
0.6222931.8967861.753369e-08
0.6255451.8963991.729983e-08
0.6288131.8960171.706475e-08
0.6320991.8956381.682844e-08
0.6354021.8952641.659090e-08
0.6387221.8948941.635212e-08
0.6420591.8945281.611209e-08
0.6454141.8941661.587080e-08
0.6487871.8938081.562825e-08
0.651.8936811.554100e-08
0.6521771.8934541.559303e-08
0.6555851.8931041.567447e-08
0.659011.8927571.575634e-08
0.6624541.8924141.583864e-08
0.6659151.8920751.592137e-08
0.6693951.891741.600453e-08
0.6728921.8914081.608813e-08
0.6764091.8910791.617216e-08
0.6799431.8907541.625664e-08
0.6834961.8904321.634155e-08
0.6870671.8901141.642691e-08
0.6906571.8897991.651271e-08
0.6942661.8894871.659896e-08
0.6978941.8891781.668566e-08
0.71.8890011.673600e-08
0.7015411.8888721.667452e-08
0.7052061.888571.652822e-08
0.7088911.8882711.638116e-08
0.7125951.8879741.623332e-08
0.7163191.8876811.608472e-08
0.7200621.887391.593534e-08
0.7238241.8871031.578518e-08
0.7276061.8868181.563423e-08
0.7314081.8865361.548250e-08
0.735231.8862571.532997e-08
0.7390721.885981.517665e-08
0.7429341.8857061.502252e-08
0.7468161.8854351.486759e-08
0.7507181.8851671.471185e-08
0.7546411.88491.455530e-08
0.7585841.8846371.439792e-08
0.7625471.8843761.423973e-08
0.7665321.8841171.408071e-08
0.7705371.8838611.392086e-08
0.7745641.8836071.376017e-08
0.7786111.8833551.359864e-08
0.7826791.8831061.343627e-08
0.7867691.8828591.327305e-08
0.790881.8826141.310898e-08
0.7950121.8823711.294405e-08
0.7991671.8821311.277826e-08
0.81.8820831.274500e-08
0.8033421.8818931.279825e-08
0.807541.8816561.286511e-08
0.811761.8814221.293233e-08
0.8160011.881191.299990e-08
0.8202651.880961.306782e-08
0.8245511.8807311.313610e-08
0.828861.8805051.320473e-08
0.8331911.8802811.327373e-08
0.8375441.8800581.334308e-08
0.8419211.8798371.341280e-08
0.846321.8796181.348288e-08
0.8507421.8794011.355332e-08
0.8551871.8791861.362414e-08
0.8596561.8789721.369532e-08
0.8641481.878761.376688e-08
0.8686631.878551.383881e-08
0.8732021.8783411.391111e-08
0.8777651.8781341.398380e-08
0.8823511.8779281.405686e-08
0.8869621.8777241.413030e-08
0.8915971.8775221.420413e-08
0.8962551.8773211.427835e-08
0.91.8771611.433800e-08
0.9009391.8771211.435295e-08
0.9056461.8769231.442794e-08
0.9103781.8767271.450333e-08
0.9151351.8765311.457911e-08
0.9199171.8763381.465528e-08
0.9247241.8761451.473185e-08
0.9295561.8759541.480882e-08
0.9344131.8757641.488620e-08
0.9392951.8755751.496398e-08
0.9442041.8753881.504216e-08
0.9491371.8752021.512076e-08
0.9540971.8750171.519976e-08
0.9590821.8748331.527918e-08
0.9640931.874651.535901e-08
0.9691311.8744691.543926e-08
0.9741951.8742881.551993e-08
0.9792851.8741091.560102e-08
0.9844021.8739311.568253e-08
0.9895461.8737531.576447e-08
0.9947171.8735771.584684e-08
0.9999141.8734021.592964e-08
11.8733991.593100e-08
1.005141.8732271.576714e-08
1.010391.8730541.559968e-08
1.015671.8728821.543134e-08
1.020981.872711.526213e-08
1.026311.872541.509203e-08
1.031681.872371.492104e-08
1.037071.8722011.474916e-08
1.042491.8720331.457638e-08
1.047931.8718651.440270e-08
1.053411.8716991.422811e-08
1.058911.8715331.405261e-08
1.064451.8713681.387619e-08
1.070011.8712041.369885e-08
1.07561.871041.352058e-08
1.081221.8708771.334138e-08
1.086871.8707151.316124e-08
1.092551.8705531.298017e-08
1.098261.8703921.279815e-08
1.1041.8702321.261517e-08
1.109761.8700721.243124e-08
1.115561.8699131.224635e-08
1.121391.8697541.206049e-08
1.127251.8695961.187366e-08
1.133141.8694381.168586e-08
1.139061.8692811.149707e-08
1.145011.8691241.130730e-08
1.1511.8689681.111654e-08
1.157011.8688121.092478e-08
1.163061.8686561.073201e-08
1.169131.8685011.053824e-08
1.175241.8683471.034346e-08
1.181381.8681921.014766e-08
1.187561.8680389.950838e-09
1.193761.8678849.752986e-09
1.21.8677319.554100e-09
1.21.8677319.554100e-09
1.206271.8675781.030399e-08
1.212571.8674251.105780e-08
1.218911.8672721.181555e-08
1.225281.867121.257726e-08
1.231681.8669681.334295e-08
1.238121.8668161.411264e-08
1.244591.8666641.488635e-08
1.251091.8665121.566410e-08
1.257631.866361.644592e-08
1.26421.8662091.723182e-08
1.27081.8660571.802183e-08
1.277441.8659061.881597e-08
1.284121.8657551.961426e-08
1.290831.8656042.041671e-08
1.297571.8654522.122336e-08
1.304351.8653012.203423e-08
1.311171.865152.284933e-08
1.318021.8649992.366870e-08
1.324911.8648482.449234e-08
1.331831.8646962.532029e-08
1.338791.8645452.615256e-08
1.345781.8643932.698918e-08
1.352821.8642422.783018e-08
1.359891.864092.867557e-08
1.366991.8639382.952537e-08
1.374131.8637863.037962e-08
1.381311.8636333.123833e-08
1.388531.8634813.210152e-08
1.395791.8633283.296923e-08
1.41.863243.347300e-08
1.403081.8631753.354667e-08
1.410411.8630223.372196e-08
1.417781.8628683.389817e-08
1.425191.8627153.407530e-08
1.432641.862563.425336e-08
1.440121.8624063.443235e-08
1.447651.8622513.461227e-08
1.455211.8620963.479313e-08
1.462821.861943.497494e-08
1.470461.8617843.515770e-08
1.478141.8616283.534141e-08
1.485871.8614713.552608e-08
1.493631.8613133.571172e-08
1.501441.8611563.589833e-08
1.509281.8609973.608591e-08
1.517171.8608383.627447e-08
1.525091.8606793.646402e-08
1.533061.8605193.665456e-08
1.541071.8603583.684609e-08
1.549131.8601973.703863e-08
1.557221.8600353.723217e-08
1.565361.8598733.742672e-08
1.573541.859713.762229e-08
1.581761.8595463.781888e-08
1.590021.8593813.801650e-08
1.598331.8592163.821515e-08
1.61.8591833.825500e-08
1.606681.859054.082184e-08
1.615081.8588834.404543e-08
1.623521.8587164.728586e-08
1.6321.8585485.054323e-08
1.640531.8583795.381762e-08
1.64911.8582095.710911e-08
1.657721.8580386.041780e-08
1.666381.8578666.374379e-08
1.675091.8576936.708715e-08
1.683841.857527.044798e-08
1.692641.8573457.382637e-08
1.701481.857177.722242e-08
1.710371.8569948.063621e-08
1.719311.8568168.406784e-08
1.72831.8566388.751740e-08
1.737331.8564589.098498e-08
1.74641.8562789.447068e-08
1.755531.8560969.797460e-08
1.76471.8559131.014968e-07
1.773921.8557291.050375e-07
1.783191.8555441.085966e-07
1.792511.8553581.121743e-07
1.81.8552081.150500e-07
1.801881.855171.175988e-07
1.811291.8549811.303838e-07
1.820761.8547911.432355e-07
1.830271.85461.561544e-07
1.839831.8544081.691409e-07
1.849451.8542141.821951e-07
1.859111.8540181.953176e-07
1.868831.8538222.085086e-07
1.878591.8536242.217686e-07
1.888411.8534242.350979e-07
1.898271.8532232.484968e-07
1.908191.8530212.619657e-07
1.918161.8528172.755050e-07
1.928191.8526112.891151e-07
1.938261.8524043.027962e-07
1.948391.8521963.165489e-07
1.958571.8519863.303734e-07
1.96881.8517743.442701e-07
1.979091.851563.582395e-07
1.989431.8513453.722818e-07
1.999831.8511283.863975e-07
21.8511253.866300e-07
2.010281.850914.272281e-07
2.020781.8506894.687181e-07
2.031341.8504675.104248e-07
2.041961.8502435.523495e-07
2.052631.8500175.944932e-07
2.063351.8497896.368571e-07
2.074131.8495596.794424e-07
2.084971.8493287.222502e-07
2.095861.8490947.652817e-07
2.106821.8488588.085381e-07
2.117821.8486218.520205e-07
2.128891.8483818.957301e-07
2.140011.8481399.396680e-07
2.15121.8478959.838356e-07
2.162441.8476491.028234e-06
2.173741.84741.072864e-06
2.18511.847151.117728e-06
2.196511.8468971.162826e-06
2.21.8468191.176600e-06
2.207991.8466411.319170e-06
2.219531.8463841.525035e-06
2.231121.8461241.731976e-06
2.242781.8458621.939999e-06
2.25451.8455972.149108e-06
2.266281.845332.359310e-06
2.278121.845062.570610e-06
2.290031.8447882.783014e-06
2.301991.8445132.996529e-06
2.314021.8442353.211159e-06
2.326111.8439553.426910e-06
2.338271.8436723.643789e-06
2.350491.8433873.861801e-06
2.362771.8430984.080952e-06
2.375111.8428074.301248e-06
2.387521.8425134.522696e-06
2.41.8422164.745300e-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
—