Optical constants

Refractive index of S-LAL19 (OHARA)

S-LAL19: n,k 0.365–2.325 µm

Data
formula 2 + tabulated k
Range
0.365–2.325 µm
Temperature
298 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.365–2.325 µm
Refractive index n
1.72916
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.98998
Permittivity ε2
1.61790e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
54.095
Chromatic dispersion dn/dλ
-0.0695831 µm⁻¹
Group index ng
1.77004
Group velocity dispersion
122.003 fs²/mm
Dispersion parameter D
-665.588 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-LAL19 (OHARA): S-LAL19
ohara_s_lal19 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-LAL19", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_lal19.range_nm)  # (365, 2325.42) nm
eps = ohara_s_lal19.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=0.973997577λ2λ2−0.00379332678+0.958186322λ2λ2−0.0177574581+1.20163359λ2λ2−83.79896

Valid from 0.365 to 2.32542 µm.

Coefficients as stored
CiValue
C10.0
C20.973997577
C30.00379332678
C40.958186322
C50.0177574581
C61.20163359
C783.79896

Comments and conditions

Recommended

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 4.19e-06 1.04e-08 7.25e-13 4.73e-07 4.97e-10 0.202
nd
1.729160
Vd
54.095223
density
value: 3980
thermal expansion
value: 5.4e-06, temperature range: 243 343
dPgF
-0.0092
resistance
acid: 52.0; climatic: 3.0; phosphate: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 3.16e-06 K⁻¹ at 633 nm, dn/dT = 2.51e-06 K⁻¹ at 1310 nm, dn/dT = 2.45e-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 422 wavelengths, the same grid as the API and the library
S-LAL19 (OHARA), S-LAL19: n and k versus wavelength
λ (µm)nk
0.3651.7624341.137965e-07
0.3666981.7619071.056080e-07
0.3684041.7613859.738147e-08
0.371.7609058.968300e-08
0.3701171.760878.934724e-08
0.3718391.760368.442471e-08
0.3735691.7598567.947928e-08
0.3753071.7593587.451084e-08
0.3770521.7588656.951929e-08
0.3788061.7583786.450453e-08
0.381.758056.109200e-08
0.3805691.7578966.010634e-08
0.3823391.7574195.703731e-08
0.3841171.7569475.395400e-08
0.3859041.7564815.085635e-08
0.3876991.7560194.774429e-08
0.3895031.7555634.461775e-08
0.391.7554394.375600e-08
0.3913151.7551124.220914e-08
0.3931351.7546654.006755e-08
0.3949641.7542243.791599e-08
0.3968011.7537873.575442e-08
0.3986471.7533553.358279e-08
0.41.7530423.199100e-08
0.4005011.7529273.177757e-08
0.4023641.7525043.098456e-08
0.4042361.7520863.018787e-08
0.4061171.7516722.938747e-08
0.4080061.7512622.858334e-08
0.4099041.7508572.777548e-08
0.4118111.7504562.696385e-08
0.4137261.750062.614846e-08
0.4156511.7496672.532927e-08
0.4175841.7492792.450626e-08
0.4195271.7488952.367943e-08
0.421.7488022.347800e-08
0.4214781.7485142.303990e-08
0.4234391.7481382.245887e-08
0.4254091.7477662.187514e-08
0.4273881.7473972.128869e-08
0.4293761.7470322.069951e-08
0.4313731.7466722.010759e-08
0.433381.7463141.951292e-08
0.4353961.7459611.891548e-08
0.4374211.7456111.831526e-08
0.4394561.7452651.771225e-08
0.441.7451731.755100e-08
0.44151.7449221.705948e-08
0.4435541.7445831.638657e-08
0.4456171.7442471.571052e-08
0.447691.7439151.503133e-08
0.4497731.7435861.434898e-08
0.4518651.743261.366346e-08
0.4539671.7429381.297474e-08
0.4560791.7426191.228283e-08
0.45821.7423031.158769e-08
0.461.7420391.099800e-08
0.4603321.741991.094243e-08
0.4624731.7416811.058365e-08
0.4646241.7413741.022321e-08
0.4667861.7410719.861087e-09
0.4689571.740779.497282e-09
0.4711391.7404739.131785e-09
0.473331.7401788.764587e-09
0.4755321.7398878.395682e-09
0.4777441.7395988.025060e-09
0.4799661.7393127.652714e-09
0.481.7393087.647100e-09
0.4821991.7390297.243966e-09
0.4844421.7387496.832786e-09
0.4866961.7384716.419693e-09
0.488961.7381966.004678e-09
0.4912341.7379245.587733e-09
0.4935191.7376555.168848e-09
0.4958151.7373884.748015e-09
0.4981221.7371234.325224e-09
0.51.7369113.980900e-09
0.5004391.7368613.984394e-09
0.5027671.7366024.002929e-09
0.5051051.7363454.021550e-09
0.5074551.7360914.040258e-09
0.5098161.7358394.059053e-09
0.5121871.7355894.077935e-09
0.514571.7353424.096905e-09
0.5169641.7350974.115963e-09
0.5193681.7348544.135110e-09
0.5217841.7346144.154347e-09
0.5242121.7343764.173672e-09
0.526651.734144.193088e-09
0.52911.7339064.212593e-09
0.5315611.7336754.232190e-09
0.5340341.7334454.251878e-09
0.5365181.7332184.271657e-09
0.5390141.7329934.291528e-09
0.5415211.732774.311492e-09
0.544041.7325494.331549e-09
0.5465711.732334.351699e-09
0.5491141.7321134.371942e-09
0.551.7320384.379000e-09
0.5516681.7318984.392277e-09
0.5542341.7316854.412704e-09
0.5568121.7314734.433226e-09
0.5594031.7312644.453844e-09
0.5620051.7310574.474558e-09
0.5646191.7308514.495368e-09
0.5672461.7306474.516274e-09
0.5698841.7304454.537279e-09
0.5725351.7302454.558380e-09
0.5751991.7300474.579580e-09
0.5778741.729854.600879e-09
0.5805621.7296554.622277e-09
0.5832631.7294624.643774e-09
0.5859761.729274.665371e-09
0.5887021.729084.687069e-09
0.5914411.7288924.708867e-09
0.5941921.7287054.730767e-09
0.5969561.728524.752769e-09
0.5997331.7283374.774873e-09
0.61.7283194.777000e-09
0.6025231.7281554.797085e-09
0.6053251.7279754.819401e-09
0.6081411.7277964.841821e-09
0.610971.7276184.864345e-09
0.6138121.7274424.886974e-09
0.6166681.7272684.909708e-09
0.6195361.7270954.932548e-09
0.6224181.7269234.955494e-09
0.6253141.7267534.978547e-09
0.6282221.7265855.001707e-09
0.6311451.7264175.024974e-09
0.6340811.7262515.048351e-09
0.637031.7260865.071835e-09
0.6399941.7259235.095429e-09
0.6429711.7257615.119133e-09
0.6459621.72565.142947e-09
0.6489671.7254415.166872e-09
0.651.7253865.175100e-09
0.6519851.7252825.190908e-09
0.6550181.7251255.215056e-09
0.6580651.724975.239316e-09
0.6611271.7248155.263689e-09
0.6642021.7246625.288176e-09
0.6672921.7245095.312776e-09
0.6703961.7243585.337491e-09
0.6735141.7242085.362321e-09
0.6766471.724065.387266e-09
0.6797951.7239125.412327e-09
0.6829571.7237655.437505e-09
0.6861341.723625.462800e-09
0.6893261.7234755.488213e-09
0.6925331.7233325.513744e-09
0.6957541.723195.539394e-09
0.6989911.7230485.565163e-09
0.71.7230055.573200e-09
0.7022421.7229085.591052e-09
0.7055091.7227695.617061e-09
0.7087911.7226315.643191e-09
0.7120881.7224935.669443e-09
0.71541.7223575.695817e-09
0.7187281.7222215.722314e-09
0.7220721.7220875.748934e-09
0.725431.7219535.775677e-09
0.7288051.7218215.802545e-09
0.7321951.7216895.829539e-09
0.7356011.7215585.856657e-09
0.7390231.7214285.883902e-09
0.7424611.7212995.911274e-09
0.7459151.721175.938773e-09
0.7493841.7210435.966399e-09
0.752871.7209165.994155e-09
0.7563731.720796.022039e-09
0.7598911.7206656.050053e-09
0.7634261.7205416.078198e-09
0.7669771.7204176.106473e-09
0.7705451.7202946.134880e-09
0.774131.7201726.163419e-09
0.7777311.7200516.192091e-09
0.7813481.719936.220896e-09
0.7849831.719816.249835e-09
0.7886351.7196916.278909e-09
0.7923031.7195736.308118e-09
0.7959891.7194556.337463e-09
0.7996921.7193376.366945e-09
0.81.7193286.369400e-09
0.8034121.7192216.396563e-09
0.8071491.7191056.426320e-09
0.8109041.718996.456214e-09
0.8146761.7188756.486248e-09
0.8184651.7187616.516422e-09
0.8222731.7186476.546736e-09
0.8260981.7185346.577191e-09
0.8299411.7184226.607787e-09
0.8338011.718316.638526e-09
0.837681.7181996.669408e-09
0.8415771.7180886.700434e-09
0.8454921.7179786.731604e-09
0.8494251.7178696.762919e-09
0.8533761.7177596.794379e-09
0.8573461.7176516.825986e-09
0.8613341.7175436.857740e-09
0.8653411.7174356.889642e-09
0.8693661.7173286.921692e-09
0.873411.7172216.953891e-09
0.8774731.7171156.986240e-09
0.8815551.7170097.018739e-09
0.8856561.7169047.051390e-09
0.8897751.7167987.084192e-09
0.8939151.7166947.117147e-09
0.8980731.716597.150256e-09
0.91.7165427.165600e-09
0.902251.7164867.183516e-09
0.9064481.7163827.216929e-09
0.9106641.7162797.250497e-09
0.91491.7161777.284222e-09
0.9191561.7160747.318103e-09
0.9234321.7159727.352142e-09
0.9277281.7158717.386339e-09
0.9320431.7157697.420696e-09
0.9363791.7156687.455212e-09
0.9407351.7155677.489889e-09
0.9451111.7154677.524727e-09
0.9495071.7153677.559727e-09
0.9539241.7152677.594890e-09
0.9583621.7151677.630217e-09
0.962821.7150687.665707e-09
0.9672991.7149687.701363e-09
0.9717981.714877.737185e-09
0.9763191.7147717.773174e-09
0.980861.7146727.809330e-09
0.9854231.7145747.845654e-09
0.9900071.7144767.882147e-09
0.9946121.7143787.918809e-09
0.9992391.714287.955643e-09
11.7142647.961700e-09
1.003891.7141837.992651e-09
1.008561.7140868.029833e-09
1.013251.7139888.067187e-09
1.017961.7138918.104716e-09
1.02271.7137948.142418e-09
1.027451.7136988.180297e-09
1.032231.7136018.218351e-09
1.037041.7135048.256582e-09
1.041861.7134088.294992e-09
1.046711.7133118.333579e-09
1.051581.7132158.372347e-09
1.056471.7131198.411295e-09
1.061381.7130238.450424e-09
1.066321.7129268.489734e-09
1.071281.712838.529228e-09
1.076261.7127348.568906e-09
1.081271.7126388.608768e-09
1.08631.7125428.648815e-09
1.091351.7124468.689049e-09
1.096431.712358.729470e-09
1.101531.7122548.770079e-09
1.106651.7121588.810877e-09
1.11181.7120628.851865e-09
1.116971.7119668.893043e-09
1.122171.711878.934413e-09
1.127391.7117748.975976e-09
1.132631.7116789.017731e-09
1.13791.7115819.059681e-09
1.14321.7114859.101826e-09
1.148511.7113889.144167e-09
1.153861.7112929.186706e-09
1.159221.7111959.229442e-09
1.164621.7110989.272376e-09
1.170031.7110019.315511e-09
1.175481.7109049.358846e-09
1.180941.7108079.402383e-09
1.186441.710719.446122e-09
1.191961.7106129.490065e-09
1.19751.7105159.534212e-09
1.21.7104719.554100e-09
1.203071.7104171.060964e-08
1.208671.7103191.253218e-08
1.214291.710221.446366e-08
1.219941.7101221.640413e-08
1.225621.7100231.835363e-08
1.231321.7099242.031219e-08
1.237041.7098252.227987e-08
1.24281.7097262.425670e-08
1.248581.7096262.624272e-08
1.254391.7095262.823798e-08
1.260221.7094263.024253e-08
1.266091.7093263.225639e-08
1.271971.7092253.427963e-08
1.277891.7091243.631228e-08
1.283841.7090223.835438e-08
1.289811.7089214.040599e-08
1.295811.7088194.246713e-08
1.301841.7087164.453787e-08
1.307891.7086134.661824e-08
1.313981.708514.870828e-08
1.320091.7084075.080805e-08
1.326231.7083035.291758e-08
1.33241.7081995.503693e-08
1.33861.7080945.716614e-08
1.344821.7079895.930525e-08
1.351081.7078846.145431e-08
1.357361.7077786.361337e-08
1.363681.7076716.578247e-08
1.370021.7075656.796167e-08
1.37641.7074577.015100e-08
1.38281.707357.235051e-08
1.389231.7072417.456026e-08
1.395691.7071337.678028e-08
1.41.707067.826000e-08
1.402191.7070237.838215e-08
1.408711.7069147.874676e-08
1.415261.7068037.911307e-08
1.421841.7066937.948109e-08
1.428461.7065817.985082e-08
1.43511.7064698.022227e-08
1.441781.7063578.059545e-08
1.448491.7062448.097036e-08
1.455221.706138.134702e-08
1.461991.7060168.172542e-08
1.468791.7059018.210559e-08
1.475631.7057868.248753e-08
1.482491.705678.287125e-08
1.489391.7055538.325674e-08
1.496321.7054368.364404e-08
1.503281.7053178.403313e-08
1.510271.7051998.442404e-08
1.517291.7050798.481676e-08
1.524351.7049598.521131e-08
1.531441.7048388.560769e-08
1.538571.7047168.600592e-08
1.545721.7045948.640600e-08
1.552911.7044718.680794e-08
1.560141.7043478.721176e-08
1.56741.7042228.761745e-08
1.574691.7040978.802502e-08
1.582011.7039718.843450e-08
1.589371.7038448.884588e-08
1.596771.7037168.925917e-08
1.61.703668.944000e-08
1.604191.7035879.332533e-08
1.611661.7034571.002403e-07
1.619151.7033271.071875e-07
1.626681.7031951.141670e-07
1.634251.7030631.211789e-07
1.641851.702931.282235e-07
1.649491.7027961.353008e-07
1.657161.7026611.424111e-07
1.664871.7025251.495544e-07
1.672621.7023881.567310e-07
1.68041.702251.639409e-07
1.688211.7021111.711844e-07
1.696071.7019711.784616e-07
1.703961.701831.857726e-07
1.711881.7016881.931177e-07
1.719851.7015452.004969e-07
1.727851.7014012.079104e-07
1.735891.7012562.153584e-07
1.743961.7011092.228411e-07
1.752071.7009622.303586e-07
1.760221.7008132.379110e-07
1.768411.7006642.454986e-07
1.776641.7005132.531215e-07
1.78491.7003612.607798e-07
1.793211.7002072.684738e-07
1.81.7000822.747700e-07
1.801551.7000532.788296e-07
1.809931.6998973.008214e-07
1.818351.699743.229156e-07
1.826811.6995823.451126e-07
1.83531.6994233.674128e-07
1.843841.6992623.898167e-07
1.852421.69914.123249e-07
1.861031.6989364.349377e-07
1.869691.6987724.576558e-07
1.878391.6986054.804795e-07
1.887131.6984385.034094e-07
1.895911.6982695.264460e-07
1.904731.6980995.495897e-07
1.913591.6979275.728411e-07
1.922491.6977545.962006e-07
1.931431.6975796.196688e-07
1.940411.6974036.432462e-07
1.949441.6972256.669333e-07
1.958511.6970456.907305e-07
1.967621.6968657.146385e-07
1.976771.6966827.386576e-07
1.985971.6964987.627885e-07
1.995211.6963127.870317e-07
21.6962167.996100e-07
2.004491.6961258.455137e-07
2.013811.6959369.408837e-07
2.023181.6957461.036697e-06
2.032591.6955531.132957e-06
2.042051.6953591.229664e-06
2.051551.6951631.326821e-06
2.061091.6949661.424430e-06
2.070681.6947661.522493e-06
2.080311.6945651.621012e-06
2.089991.6943621.719989e-06
2.099711.6941571.819427e-06
2.109481.693951.919328e-06
2.119291.6937412.019693e-06
2.129151.693532.120525e-06
2.139051.6933182.221826e-06
2.1491.6931032.323598e-06
2.1591.6928862.425844e-06
2.169041.6926682.528565e-06
2.179131.6924472.631764e-06
2.189271.6922242.735443e-06
2.199451.6919992.839605e-06
2.21.6919872.845200e-06
2.209681.6917723.211210e-06
2.219961.6915423.599694e-06
2.230291.6913113.989985e-06
2.240661.6910774.382091e-06
2.251091.6908414.776022e-06
2.261561.6906025.171784e-06
2.272081.6903625.569388e-06
2.282651.6901195.968842e-06
2.293271.6898736.370153e-06
2.303941.6896256.773332e-06
2.314651.6893757.178385e-06
2.325421.6891227.585323e-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
—