Optical constants

Refractive index of S-LAH65 (OHARA)

S-LAH65: n,k 0.32–2.4 µm

Data
formula 2 + tabulated k
Range
0.32–2.4 µm
Temperature
298 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.32–2.4 µm
Refractive index n
1.804
Extinction coefficient k
9.36134e-09
Permittivity ε1
3.2544
Permittivity ε2
3.37757e-08
Absorption coefficient α
0.00200201 cm⁻¹
Penetration depth δ = λ/(2πk)
9.98996e+09 nm
Abbe number Vd
46.57
Chromatic dispersion dn/dλ
-0.0885898 µm⁻¹
Group index ng
1.85605
Group velocity dispersion
161.59 fs²/mm
Dispersion parameter D
-881.558 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

# S-LAH65 (OHARA): S-LAH65
ohara_s_lah65 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-LAH65", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_lah65.range_nm)  # (320, 2400) nm
eps = ohara_s_lah65.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=1.68191258λ2λ2−0.0077668425+0.493779818λ2λ2−0.0288916181+1.45682822λ2λ2−99.2574356

Valid from 0.32 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.68191258
C30.0077668425
C40.493779818
C50.0288916181
C61.45682822
C799.2574356

Comments and conditions

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 3.21e-06 1.28e-08 -3.45e-11 4.22e-07 5.14e-10 0.275
nd
1.804000
Vd
46.570373
glass code
804466
glass status
preferred
density
value: 4760
thermal expansion
value: 6e-06, temperature range: 243 343; value: 7.3e-06, temperature range: 293 573
dPgF
-0.009
resistance
acid: 4.1; phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 2.81e-06 K⁻¹ at 633 nm, dn/dT = 2.11e-06 K⁻¹ at 1310 nm, dn/dT = 2.05e-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 426 wavelengths, the same grid as the API and the library
S-LAH65 (OHARA), S-LAH65: n and k versus wavelength
λ (µm)nk
0.321.8725126.431700e-06
0.321621.8713855.931299e-06
0.3232481.8702745.428365e-06
0.3248851.869184.922885e-06
0.326531.8681024.414845e-06
0.3281831.867043.904234e-06
0.3298441.8659933.391037e-06
0.331.8658963.342900e-06
0.3315141.8649623.120714e-06
0.3331921.8639452.874418e-06
0.3348791.8629432.626874e-06
0.3365751.8619562.378077e-06
0.3382791.8609822.128021e-06
0.3399911.8600231.876699e-06
0.341.8600181.875400e-06
0.3417121.8590761.752432e-06
0.3434421.8581441.628203e-06
0.3451811.8572241.503345e-06
0.3469291.8563171.377854e-06
0.3486851.8554231.251729e-06
0.351.8547641.157300e-06
0.350451.8545411.137239e-06
0.3522251.8536711.058196e-06
0.3540081.8528139.787533e-07
0.35581.8519678.989082e-07
0.3576011.8511338.186588e-07
0.3594121.8503097.380032e-07
0.361.8500457.117900e-07
0.3612311.8494976.788298e-07
0.363061.8486966.298713e-07
0.3648981.8479055.806649e-07
0.3667451.8471255.312095e-07
0.3686021.8463564.815036e-07
0.371.8457854.440800e-07
0.3704681.8455964.357107e-07
0.3723441.8448474.021833e-07
0.3742291.8441073.684862e-07
0.3761231.8433773.346185e-07
0.3780281.8426573.005793e-07
0.3799411.8419462.663678e-07
0.381.8419242.653200e-07
0.3818651.8412442.473592e-07
0.3837981.8405512.287400e-07
0.3857411.8398672.100266e-07
0.3876941.8391921.912185e-07
0.3896571.8385251.723152e-07
0.391.838411.690100e-07
0.391631.8378671.604876e-07
0.3936121.8372181.501182e-07
0.3956051.8365761.396962e-07
0.3976081.8359431.292215e-07
0.3996211.8353171.186938e-07
0.41.8352011.167100e-07
0.4016441.83471.126673e-07
0.4036771.834091.076664e-07
0.4057211.8334881.026403e-07
0.4077751.8328939.758876e-08
0.4098391.8323059.251162e-08
0.4119141.8317258.740878e-08
0.4141.8311528.228010e-08
0.4160961.8305867.712546e-08
0.4182021.8300267.194472e-08
0.421.8295576.752300e-08
0.4203191.8294746.711986e-08
0.4224471.8289286.443314e-08
0.4245861.8283896.173281e-08
0.4267351.8278565.901881e-08
0.4288961.827335.629107e-08
0.4310671.826815.354952e-08
0.433251.8262975.079410e-08
0.4354431.8257894.802472e-08
0.4376471.8252874.524132e-08
0.4398631.8247924.244383e-08
0.441.8247624.227100e-08
0.442091.8243024.092620e-08
0.4443281.8238183.948606e-08
0.4465781.823343.803863e-08
0.4488381.8228673.658388e-08
0.4511111.82243.512175e-08
0.4533951.8219383.365223e-08
0.455691.8214823.217527e-08
0.4579971.8210313.069083e-08
0.461.8206452.940200e-08
0.4603161.8205852.924012e-08
0.4626461.8201442.804508e-08
0.4649881.8197082.684399e-08
0.4673421.8192782.563682e-08
0.4697081.8188522.442354e-08
0.4720861.8184312.320412e-08
0.4744761.8180152.197852e-08
0.4768781.8176032.074672e-08
0.4792931.8171971.950868e-08
0.481.8170791.914600e-08
0.4817191.8167941.887101e-08
0.4841581.8163971.848092e-08
0.4866091.8160031.808887e-08
0.4890731.8156151.769483e-08
0.4915491.815231.729879e-08
0.4940371.814851.690075e-08
0.4965381.8144741.650069e-08
0.4990521.8141021.609861e-08
0.51.8139631.594700e-08
0.5015791.8137341.572015e-08
0.5041181.813371.535527e-08
0.506671.8130111.498853e-08
0.5092351.8126551.461994e-08
0.5118131.8123031.424949e-08
0.5144051.8119551.387716e-08
0.5170091.811611.350294e-08
0.5196261.811271.312683e-08
0.5222571.8109331.274882e-08
0.5249011.8105991.236889e-08
0.5275581.8102691.198704e-08
0.5302291.8099431.160326e-08
0.5329131.809621.121753e-08
0.5356111.8093011.082985e-08
0.5383231.8089851.044021e-08
0.5410481.8086721.004859e-08
0.5437881.8083639.654992e-09
0.5465411.8080579.259401e-09
0.5493081.8077548.861808e-09
0.551.8076788.762300e-09
0.5520881.8074548.795573e-09
0.5548831.8071578.840104e-09
0.5576931.8068638.884860e-09
0.5605161.8065738.929842e-09
0.5633541.8062858.975052e-09
0.5662061.8060019.020491e-09
0.5690721.8057199.066161e-09
0.5719531.805449.112061e-09
0.5748491.8051649.158194e-09
0.5777591.8048919.204560e-09
0.5806841.804629.251161e-09
0.5836241.8043529.297998e-09
0.5865791.8040879.345072e-09
0.5895481.8038259.392384e-09
0.5925331.8035659.439936e-09
0.5955331.8033089.487729e-09
0.5985481.8030539.535764e-09
0.61.8029319.558900e-09
0.6015781.8028019.584026e-09
0.6046241.8025519.632517e-09
0.6076851.8023039.681255e-09
0.6107611.8020599.730239e-09
0.6138531.8018169.779471e-09
0.6169611.8015769.828952e-09
0.6200841.8013389.878684e-09
0.6232241.8011029.928667e-09
0.6263791.8008699.978904e-09
0.629551.8006381.002939e-08
0.6327371.8004091.008014e-08
0.635941.8001821.013114e-08
0.639161.7999571.018241e-08
0.6423961.7997351.023393e-08
0.6456481.7995141.028571e-08
0.6489171.7992961.033775e-08
0.651.7992241.035500e-08
0.6522021.7990791.039010e-08
0.6555041.7988651.044273e-08
0.6588231.7986521.049563e-08
0.6621581.7984421.054880e-08
0.665511.7982331.060223e-08
0.6688791.7980261.065594e-08
0.6722661.7978211.070992e-08
0.6756691.7976181.076417e-08
0.679091.7974171.081869e-08
0.6825281.7972171.087349e-08
0.6859831.7970191.092857e-08
0.6894561.7968231.098393e-08
0.6929471.7966291.103957e-08
0.6964551.7964361.109549e-08
0.6999811.7962451.115169e-08
0.71.7962441.115200e-08
0.7035241.7960561.120814e-08
0.7070861.7958681.126488e-08
0.7106661.7956821.132191e-08
0.7142641.7954971.137922e-08
0.717881.7953141.143683e-08
0.7215141.7951321.149472e-08
0.7251671.7949521.155291e-08
0.7288381.7947731.161139e-08
0.7325281.7945961.167017e-08
0.7362371.794421.172925e-08
0.7399641.7942461.178863e-08
0.743711.7940731.184830e-08
0.7474751.7939011.190828e-08
0.7512591.7937311.196856e-08
0.7550631.7935621.202915e-08
0.7588851.7933941.209005e-08
0.7627271.7932281.215125e-08
0.7665891.7930631.221276e-08
0.770471.7928991.227458e-08
0.774371.7927361.233672e-08
0.7782911.7925751.239917e-08
0.7822311.7924151.246194e-08
0.7861911.7922551.252503e-08
0.7901711.7920971.258843e-08
0.7941721.7919411.265216e-08
0.7981921.7917851.271621e-08
0.81.7917161.274500e-08
0.8022331.791631.294093e-08
0.8062951.7914771.329724e-08
0.8103771.7913241.365536e-08
0.8144791.7911731.401528e-08
0.8186031.7910221.437703e-08
0.8227471.7908731.474061e-08
0.8269121.7907251.510603e-08
0.8310991.7905771.547330e-08
0.8353061.7904311.584243e-08
0.8395351.7902851.621343e-08
0.8437861.790141.658631e-08
0.8480571.7899961.696107e-08
0.8523511.7898541.733773e-08
0.8566661.7897121.771630e-08
0.8610031.789571.809679e-08
0.8653621.789431.847920e-08
0.8697431.7892911.886355e-08
0.8741461.7891521.924984e-08
0.8785721.7890141.963809e-08
0.883021.7888772.002830e-08
0.887491.788742.042049e-08
0.8919831.7886052.081467e-08
0.8964991.788472.121084e-08
0.91.7883662.151800e-08
0.9010371.7883362.154281e-08
0.9055991.7882022.165188e-08
0.9101841.7880692.176150e-08
0.9147921.7879372.187167e-08
0.9194231.7878052.198241e-08
0.9240781.7876752.209370e-08
0.9287561.7875442.220556e-08
0.9334581.7874152.231798e-08
0.9381841.7872862.243098e-08
0.9429341.7871572.254454e-08
0.9477071.7870292.265868e-08
0.9525051.7869022.277340e-08
0.9573271.7867752.288870e-08
0.9621741.7866482.300458e-08
0.9670451.7865232.312105e-08
0.9719411.7863972.323811e-08
0.9768621.7862722.335576e-08
0.9818071.7861482.347401e-08
0.9867781.7860242.359285e-08
0.9917731.78592.371230e-08
0.9967941.7857772.383235e-08
11.7856992.390900e-08
1.001841.7856552.395301e-08
1.006911.7855322.407428e-08
1.012011.785412.419617e-08
1.017131.7852892.431867e-08
1.022281.7851682.444179e-08
1.027461.7850472.456554e-08
1.032661.7849262.468991e-08
1.037891.7848062.481491e-08
1.043141.7846862.494055e-08
1.048421.7845662.506682e-08
1.053731.7844472.519373e-08
1.059071.7843282.532128e-08
1.064431.7842092.544948e-08
1.069821.784092.557832e-08
1.075231.7839722.570782e-08
1.080681.7838532.583798e-08
1.086151.7837352.596879e-08
1.091651.7836182.610027e-08
1.097171.78352.623241e-08
1.102731.7833822.636522e-08
1.108311.7832652.649870e-08
1.113921.7831482.663286e-08
1.119561.783032.676770e-08
1.125231.7829132.690322e-08
1.130931.7827962.703943e-08
1.136651.782682.717632e-08
1.142411.7825632.731391e-08
1.148191.7824462.745220e-08
1.1541.7823292.759119e-08
1.159841.7822122.773088e-08
1.165721.7820962.787127e-08
1.171621.7819792.801238e-08
1.177551.7818622.815420e-08
1.183511.7817462.829674e-08
1.18951.7816292.844000e-08
1.195521.7815122.858399e-08
1.21.7814252.869100e-08
1.201581.7813952.899343e-08
1.207661.7812783.016003e-08
1.213771.7811613.133254e-08
1.219921.7810443.251098e-08
1.22611.7809263.369539e-08
1.23231.7808093.488579e-08
1.238541.7806913.608222e-08
1.244811.7805743.728471e-08
1.251111.7804563.849328e-08
1.257451.7803383.970798e-08
1.263811.7802194.092882e-08
1.270211.7801014.215585e-08
1.276641.7799824.338908e-08
1.283111.7798634.462856e-08
1.28961.7797444.587432e-08
1.296131.7796244.712638e-08
1.302691.7795054.838478e-08
1.309291.7793854.964955e-08
1.315921.7792645.092073e-08
1.322581.7791445.219834e-08
1.329271.7790235.348242e-08
1.3361.7789015.477299e-08
1.342771.778785.607011e-08
1.349561.7786585.737379e-08
1.35641.7785355.868407e-08
1.363261.7784126.000098e-08
1.370171.7782896.132456e-08
1.37711.7781656.265484e-08
1.384071.7780416.399186e-08
1.391081.7779176.533564e-08
1.398121.7777926.668623e-08
1.41.7777586.704600e-08
1.40521.7776666.762849e-08
1.412321.777546.842505e-08
1.419471.7774136.922565e-08
1.426651.7772867.003029e-08
1.433881.7771597.083901e-08
1.441131.7770317.165183e-08
1.448431.7769027.246876e-08
1.455761.7767727.328982e-08
1.463131.7766437.411504e-08
1.470541.7765127.494444e-08
1.477991.7763817.577804e-08
1.485471.7762497.661586e-08
1.492991.7761177.745792e-08
1.500551.7759837.830424e-08
1.508141.775857.915485e-08
1.515781.7757158.000977e-08
1.523451.775588.086901e-08
1.531171.7754448.173260e-08
1.538921.7753078.260057e-08
1.546711.775178.347293e-08
1.554541.7750318.434970e-08
1.562411.7748928.523092e-08
1.570321.7747528.611659e-08
1.578271.7746128.700675e-08
1.586261.774478.790142e-08
1.594291.7743288.880061e-08
1.61.7742268.944000e-08
1.602361.7741849.128346e-08
1.610471.774049.761746e-08
1.618631.7738951.039835e-07
1.626821.7737491.103818e-07
1.635061.7736021.168125e-07
1.643331.7734541.232758e-07
1.651651.7733051.297718e-07
1.660021.7731551.363006e-07
1.668421.7730041.428625e-07
1.676871.7728521.494577e-07
1.685361.7726991.560862e-07
1.693891.7725441.627483e-07
1.702461.7723891.694441e-07
1.711081.7722331.761738e-07
1.719751.7720751.829375e-07
1.728451.7719171.897356e-07
1.73721.7717571.965680e-07
1.7461.7715962.034350e-07
1.754841.7714332.103368e-07
1.763721.771272.172735e-07
1.772651.7711052.242454e-07
1.781621.7709392.312525e-07
1.790641.7707722.382952e-07
1.799711.7706042.453734e-07
1.81.7705982.456000e-07
1.808821.7704342.641548e-07
1.817981.7702622.834170e-07
1.827181.770093.027768e-07
1.836431.7699163.222345e-07
1.845731.769743.417908e-07
1.855071.7695633.614460e-07
1.864471.7693853.812008e-07
1.873911.7692054.010555e-07
1.883391.7690244.210108e-07
1.892931.7688414.410672e-07
1.902511.7686574.612250e-07
1.912141.7684714.814849e-07
1.921821.7682835.018474e-07
1.931551.7680945.223130e-07
1.941331.7679035.428821e-07
1.951161.7677115.635554e-07
1.961041.7675175.843334e-07
1.970971.7673216.052166e-07
1.980941.7671236.262055e-07
1.990971.7669246.473006e-07
21.7667446.662900e-07
2.001051.7667226.735159e-07
2.011181.7665197.431088e-07
2.021361.7663158.130540e-07
2.03161.7661088.833533e-07
2.041881.7658999.540085e-07
2.052221.7656891.025021e-06
2.062611.7654761.096394e-06
2.073051.7652621.168128e-06
2.083551.7650451.240225e-06
2.09411.7648271.312687e-06
2.10471.7646061.385515e-06
2.115351.7643831.458713e-06
2.126061.7641581.532281e-06
2.136831.7639311.606222e-06
2.147641.7637021.680536e-06
2.158521.7634711.755227e-06
2.169441.7632371.830297e-06
2.180431.7630011.905746e-06
2.191471.7627631.981577e-06
2.21.7625782.040200e-06
2.202561.7625222.115691e-06
2.213711.7622792.444394e-06
2.224921.7620342.774762e-06
2.236181.7617863.106802e-06
2.24751.7615363.440523e-06
2.258881.7612833.775934e-06
2.270321.7610284.113042e-06
2.281811.760774.451858e-06
2.293361.7605094.792388e-06
2.304971.7602465.134643e-06
2.316641.759985.478630e-06
2.328371.7597115.824359e-06
2.340161.759446.171838e-06
2.352011.7591666.521076e-06
2.363911.7588886.872083e-06
2.375881.7586087.224866e-06
2.387911.7583267.579436e-06
2.41.758047.935800e-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
—