Optical constants

Refractive index of LAC8 (HOYA)

LAC8: n,k 0.365–1.014 µm

Data
formula 3 + tabulated k
Range
0.365–1.014 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.365–1.014 µm
Refractive index n
1.713
Extinction coefficient k
9.36134e-09
Permittivity ε1
2.93436
Permittivity ε2
3.20719e-08
Absorption coefficient α
0.00200201 cm⁻¹
Penetration depth δ = λ/(2πk)
9.98996e+09 nm
Abbe number Vd
53.939
Chromatic dispersion dn/dλ
-0.0682634 µm⁻¹
Group index ng
1.75311
Group velocity dispersion
119.517 fs²/mm
Dispersion parameter D
-652.03 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

# LAC8 (HOYA): LAC8
hoya_lac8 = ls.fetch_refractiveindex("specs", "HOYA-optical", "LAC8", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hoya_lac8.range_nm)  # (365.01, 1013.98) nm
eps = hoya_lac8.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

Polynomial (formula 3), λ in µm
n2=2.8778537−0.013832906⁢λ2.0+0.020301185⁢λ−2.0+0.00027759871⁢λ−4.0+5.905983×10-6⁢λ−6.0+1.7747647×10-7⁢λ−8.0

Valid from 0.36501 to 1.01398 µm.

Coefficients as stored
CiValue
C12.8778537
C2-0.013832906
C32.0
C40.020301185
C5-2.0
C60.00027759871
C7-4.0
C85.905983e-06
C9-6.0
C101.7747647e-07
C11-8.0

Comments and conditions

Recommended glass type

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 4.58776e-06 0.0 0.0 0.0 0.0 0.0
nd
1.71300
Vd
53.94
glass code
713539
glass status
standard
density
value: 3810
thermal expansion
value: 5.9e-06, temperature range: 243 343; value: 7.2e-06, temperature range: 293 573
dPgF
-0.007
resistance
acid: 4.0; stain: 3.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 2.58e-06 K⁻¹ at 633 nm

References

Cite

HOYA Zemax catalog 2017-04-01 (obtained from http://www.hoya-opticalworld.com); Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 421 wavelengths, the same grid as the API and the library
LAC8 (HOYA), LAC8: n and k versus wavelength
λ (µm)nk
0.365011.745591.578223e-07
0.3659461.7453041.496166e-07
0.3668841.7450211.413898e-07
0.3678251.7447391.331419e-07
0.3687681.7444581.248729e-07
0.3697131.744181.165827e-07
0.371.7440961.140700e-07
0.3706611.7439031.113842e-07
0.3716121.7436281.075248e-07
0.3725651.7433551.036555e-07
0.373521.7430839.977623e-08
0.3744771.7428139.588704e-08
0.3754381.7425459.198788e-08
0.37641.7422788.807872e-08
0.3773651.7420138.415954e-08
0.3783331.741758.023031e-08
0.3793031.7414887.629101e-08
0.381.7413017.346000e-08
0.3802751.7412287.307648e-08
0.381251.7409697.171867e-08
0.3822281.7407127.035739e-08
0.3832081.7404566.899261e-08
0.384191.7402026.762434e-08
0.3851761.739956.625255e-08
0.3861631.7396996.487725e-08
0.3871531.739456.349843e-08
0.3881461.7392026.211607e-08
0.3891411.7389556.073016e-08
0.391.7387445.953400e-08
0.3901391.738715.933057e-08
0.3911391.7384675.786452e-08
0.3921421.7382255.639472e-08
0.3931471.7379845.492115e-08
0.3941551.7377455.344380e-08
0.3951661.7375085.196266e-08
0.3961791.7372715.047773e-08
0.3971951.7370374.898898e-08
0.3982131.7368034.749642e-08
0.3992341.7365714.600004e-08
0.41.7363984.487800e-08
0.4002581.736344.486324e-08
0.4012841.7361114.480454e-08
0.4023131.7358834.474569e-08
0.4033451.7356574.468668e-08
0.4043791.7354314.462753e-08
0.4054161.7352074.456822e-08
0.4064551.7349854.450877e-08
0.4074971.7347634.444916e-08
0.4085421.7345434.438939e-08
0.409591.7343254.432948e-08
0.410641.7341074.426941e-08
0.4116931.7338914.420918e-08
0.4127481.7336764.414880e-08
0.4138061.7334624.408827e-08
0.4148671.733254.402758e-08
0.4159311.7330394.396674e-08
0.4169981.7328294.390574e-08
0.4180671.732624.384458e-08
0.4191391.7324134.378327e-08
0.421.7322474.373400e-08
0.4202131.7322064.345474e-08
0.4212911.7320014.204424e-08
0.4223711.7317974.063013e-08
0.4234541.7315943.921239e-08
0.424541.7313933.779102e-08
0.4256281.7311923.636600e-08
0.4267191.7309933.493733e-08
0.4278131.7307953.350500e-08
0.428911.7305983.206899e-08
0.430011.7304023.062930e-08
0.4311131.7302072.918592e-08
0.4322181.7300142.773884e-08
0.4333261.7298212.628805e-08
0.4344371.729632.483354e-08
0.4355511.7294392.337530e-08
0.4366681.729252.191332e-08
0.4377871.7290622.044760e-08
0.438911.7288751.897811e-08
0.441.7286941.755100e-08
0.4400351.7286881.754593e-08
0.4411631.7285031.738352e-08
0.4422951.7283191.722069e-08
0.4434291.7281361.705745e-08
0.4445661.7279541.689379e-08
0.4457051.7277741.672970e-08
0.4468481.7275941.656520e-08
0.4479941.7274151.640028e-08
0.4491431.7272371.623493e-08
0.4502941.727061.606916e-08
0.4514491.7268841.590296e-08
0.4526061.7267091.573634e-08
0.4537671.7265351.556929e-08
0.454931.7263621.540181e-08
0.4560971.726191.523391e-08
0.4572661.7260191.506557e-08
0.4584381.7258491.489680e-08
0.4596141.725681.472760e-08
0.461.7256241.467200e-08
0.4607921.7255121.454541e-08
0.4619741.7253441.435661e-08
0.4631581.7251781.416733e-08
0.4643461.7250121.397756e-08
0.4655361.7248481.378731e-08
0.466731.7246841.359657e-08
0.4679271.7245211.340534e-08
0.4691261.7243591.321362e-08
0.4703291.7241981.302141e-08
0.4715351.7240381.282871e-08
0.4727441.7238791.263551e-08
0.4739561.7237211.244181e-08
0.4751711.7235631.224762e-08
0.476391.7234061.205294e-08
0.4776111.7232511.185775e-08
0.4788361.7230961.166206e-08
0.481.7229491.147600e-08
0.4800631.7229411.146487e-08
0.4812941.7227881.124884e-08
0.4825281.7226361.103225e-08
0.4837651.7224841.081510e-08
0.4850061.7223331.059740e-08
0.4862491.7221831.037914e-08
0.4874961.7220341.016032e-08
0.4887461.7218869.940944e-09
0.4899991.7217389.721001e-09
0.4912551.7215919.500494e-09
0.4925151.7214459.279422e-09
0.4937781.72139.057783e-09
0.4950441.7211558.835575e-09
0.4963131.7210118.612798e-09
0.4975861.7208688.389450e-09
0.4988611.7207268.165529e-09
0.51.72067.965700e-09
0.5001411.7205857.967939e-09
0.5014231.7204447.988369e-09
0.5027091.7203048.008852e-09
0.5039971.7201658.029387e-09
0.505291.7200268.049975e-09
0.5065851.7198898.070616e-09
0.5078841.7197518.091309e-09
0.5091861.7196158.112056e-09
0.5104921.7194798.132856e-09
0.5118011.7193458.153709e-09
0.5131131.719218.174615e-09
0.5144291.7190778.195576e-09
0.5157481.7189448.216590e-09
0.517071.7188128.237657e-09
0.5183961.718688.258779e-09
0.5197251.718558.279955e-09
0.5210571.718428.301186e-09
0.5223931.718298.322470e-09
0.5237331.7181618.343810e-09
0.5250761.7180338.365204e-09
0.5264221.7179068.386653e-09
0.5277721.7177798.408156e-09
0.5291251.7176538.429715e-09
0.5304811.7175278.451330e-09
0.5318421.7174038.472999e-09
0.5332051.7172788.494725e-09
0.5345721.7171558.516506e-09
0.5359431.7170328.538342e-09
0.5373171.716918.560235e-09
0.5386951.7167888.582184e-09
0.5400761.7166678.604189e-09
0.5414611.7165468.626251e-09
0.5428491.7164268.648369e-09
0.5442411.7163078.670544e-09
0.5456361.7161888.692776e-09
0.5470351.716078.715065e-09
0.5484381.7159538.737411e-09
0.5498441.7158368.759814e-09
0.551.7158238.762300e-09
0.5512541.715728.782274e-09
0.5526671.7156048.804793e-09
0.5540841.7154898.827369e-09
0.5555051.7153748.850002e-09
0.5569291.715268.872694e-09
0.5583571.7151478.895444e-09
0.5597891.7150348.918253e-09
0.5612241.7149228.941120e-09
0.5626631.714818.964045e-09
0.5641061.7146988.987030e-09
0.5655521.7145889.010073e-09
0.5670021.7144789.033175e-09
0.5684561.7143689.056337e-09
0.5699131.7142599.079558e-09
0.5713741.714159.102838e-09
0.5728391.7140429.126178e-09
0.5743081.7139359.149578e-09
0.5757811.7138289.173038e-09
0.5772571.7137229.196558e-09
0.5787371.7136169.220139e-09
0.5802211.713519.243780e-09
0.5817091.7134059.267481e-09
0.58321.7133019.291243e-09
0.5846951.7131979.315067e-09
0.5861951.7130939.338951e-09
0.5876971.7129919.362896e-09
0.5892041.7128889.386903e-09
0.5907151.7127869.410972e-09
0.592231.7126859.435102e-09
0.5937481.7125849.459294e-09
0.595271.7124839.483548e-09
0.5967971.7123839.507864e-09
0.5983271.7122849.532243e-09
0.5998611.7121859.556684e-09
0.61.7121769.558900e-09
0.6013991.7120869.726273e-09
0.6029411.7119889.910757e-09
0.6044871.711891.009571e-08
0.6060371.7117931.028115e-08
0.6075911.7116961.046705e-08
0.6091481.71161.065344e-08
0.610711.7115041.084030e-08
0.6122761.7114081.102764e-08
0.6138461.7113131.121546e-08
0.615421.7112191.140376e-08
0.6169981.7111241.159254e-08
0.618581.7110311.178181e-08
0.6201661.7109371.197157e-08
0.6217561.7108441.216181e-08
0.623351.7107521.235254e-08
0.6249481.710661.254376e-08
0.6265511.7105681.273546e-08
0.6281571.7104771.292766e-08
0.6297681.7103861.312036e-08
0.6313821.7102961.331354e-08
0.6330011.7102061.350722e-08
0.6346241.7101161.370140e-08
0.6362511.7100271.389608e-08
0.6378831.7099381.409125e-08
0.6395181.709851.428693e-08
0.6411581.7097621.448311e-08
0.6428021.7096741.467979e-08
0.644451.7095871.487697e-08
0.6461021.70951.507466e-08
0.6477591.7094141.527286e-08
0.649421.7093281.547156e-08
0.651.7092981.554100e-08
0.6510851.7092421.532475e-08
0.6527541.7091571.499196e-08
0.6544281.7090721.465831e-08
0.6561061.7089871.432380e-08
0.6577881.7089031.398844e-08
0.6594741.7088191.365221e-08
0.6611651.7087351.331513e-08
0.6628611.7086521.297718e-08
0.664561.7085691.263836e-08
0.6662641.7084871.229868e-08
0.6679721.7084051.195812e-08
0.6696851.7083231.161669e-08
0.6714021.7082411.127439e-08
0.6731231.708161.093121e-08
0.6748491.708081.058715e-08
0.676581.7079991.024220e-08
0.6783141.7079199.896373e-09
0.6800531.7078399.549658e-09
0.6817971.707769.202054e-09
0.6835451.7076818.853559e-09
0.6852981.7076028.504170e-09
0.6870551.7075238.153885e-09
0.6888161.7074457.802702e-09
0.6905831.7073687.450619e-09
0.6923531.707297.097633e-09
0.6941281.7072136.743742e-09
0.6959081.7071366.388944e-09
0.6976921.7070596.033236e-09
0.6994811.7069835.676616e-09
0.71.7069615.573200e-09
0.7012751.7069075.735745e-09
0.7030731.7068315.965024e-09
0.7048751.7067566.194892e-09
0.7066831.7066816.425348e-09
0.7084951.7066066.656396e-09
0.7103111.7065326.888036e-09
0.7121321.7064587.120270e-09
0.7139581.7063847.353100e-09
0.7157891.706317.586526e-09
0.7176241.7062377.820551e-09
0.7194641.7061648.055176e-09
0.7213091.7060918.290402e-09
0.7231581.7060188.526232e-09
0.7250121.7059468.762666e-09
0.7268711.7058748.999707e-09
0.7287351.7058029.237355e-09
0.7306031.7057319.475612e-09
0.7324771.705669.714481e-09
0.7343551.7055899.953962e-09
0.7362371.7055181.019406e-08
0.7381251.7054481.043477e-08
0.7400181.7053781.067610e-08
0.7419151.7053081.091804e-08
0.7438171.7052381.116061e-08
0.7457241.7051691.140380e-08
0.7476361.70511.164761e-08
0.7495531.7050311.189205e-08
0.751.7050151.194900e-08
0.7514751.7049621.197250e-08
0.7534021.7048941.200320e-08
0.7553341.7048261.203398e-08
0.757271.7047581.206484e-08
0.7592121.704691.209578e-08
0.7611591.7046231.212679e-08
0.763111.7045561.215789e-08
0.7650671.7044891.218906e-08
0.7670281.7044221.222032e-08
0.7689951.7043551.225165e-08
0.7709671.7042891.228307e-08
0.7729431.7042231.231456e-08
0.7749251.7041571.234614e-08
0.7769121.7040921.237780e-08
0.7789041.7040261.240954e-08
0.781.703991.242700e-08
0.7809011.7039611.215408e-08
0.7829031.7038961.154765e-08
0.7849111.7038311.093967e-08
0.7869231.7037671.033013e-08
0.7889411.7037029.719023e-09
0.7909641.7036389.106352e-09
0.7929921.7035748.492110e-09
0.7950251.7035117.876293e-09
0.7970631.7034477.258897e-09
0.7991071.7033846.639918e-09
0.81.7033566.369400e-09
0.8011561.7033216.378600e-09
0.803211.7032586.394951e-09
0.8052691.7031956.411343e-09
0.8073341.7031326.427778e-09
0.8094041.703076.444255e-09
0.8114791.7030086.460775e-09
0.813561.7029466.477336e-09
0.8156461.7028846.493940e-09
0.8177371.7028236.510587e-09
0.8198341.7027616.527276e-09
0.8219361.70276.544008e-09
0.8240431.7026396.560783e-09
0.8261561.7025786.577602e-09
0.8282741.7025176.594463e-09
0.831.7024686.608200e-09
0.8303981.7024576.746139e-09
0.8325271.7023967.484281e-09
0.8346621.7023368.224316e-09
0.8368021.7022768.966248e-09
0.8389471.7022169.710083e-09
0.8410981.7021561.045582e-08
0.8432551.7020971.120348e-08
0.8454171.7020371.195305e-08
0.8475841.7019781.270454e-08
0.8497581.7019191.345796e-08
0.851.7019121.354200e-08
0.8519361.701861.357283e-08
0.8541211.7018011.360760e-08
0.8563111.7017431.364247e-08
0.8585061.7016841.367742e-08
0.8607071.7016261.371246e-08
0.8629141.7015681.374759e-08
0.8651271.701511.378282e-08
0.8673451.7014521.381813e-08
0.8695691.7013941.385353e-08
0.8717981.7013361.388903e-08
0.8740331.7012791.392461e-08
0.8762741.7012221.396029e-08
0.8785211.7011641.399606e-08
0.8807741.7011071.403192e-08
0.8830321.701051.406787e-08
0.8852961.7009941.410391e-08
0.8875661.7009371.414005e-08
0.8898421.700881.417628e-08
0.8921231.7008241.421260e-08
0.8944111.7007681.424902e-08
0.8967041.7007121.428552e-08
0.8990031.7006561.432213e-08
0.91.7006311.433800e-08
0.9013081.70061.435885e-08
0.9036191.7005441.439568e-08
0.9059361.7004881.443261e-08
0.9082581.7004331.446964e-08
0.9105871.7003771.450676e-08
0.9129221.7003221.454398e-08
0.9152631.7002661.458129e-08
0.9176091.7002111.461869e-08
0.9199621.7001561.465619e-08
0.9223211.7001011.469379e-08
0.9246861.7000471.473149e-08
0.9270561.6999921.476928e-08
0.9294331.6999371.480717e-08
0.9318161.6998831.484515e-08
0.9342061.6998281.488324e-08
0.9366011.6997741.492142e-08
0.9390021.699721.495970e-08
0.941411.6996661.499807e-08
0.9438241.6996121.503655e-08
0.9462441.6995581.507512e-08
0.948671.6995041.511379e-08
0.951.6994741.513500e-08
0.9511021.699451.515254e-08
0.9535411.6993961.519137e-08
0.9559851.6993431.523029e-08
0.9584371.6992891.526931e-08
0.9608941.6992361.530843e-08
0.9633581.6991821.534765e-08
0.9658281.6991291.538698e-08
0.9683041.6990761.542640e-08
0.9707871.6990231.546592e-08
0.9732761.698971.550555e-08
0.9757711.6989171.554528e-08
0.9782731.6988641.558511e-08
0.9807811.6988111.562504e-08
0.9832961.6987581.566507e-08
0.9858171.6987061.570521e-08
0.9883451.6986531.574545e-08
0.9908791.69861.578579e-08
0.9934191.6985481.582624e-08
0.9959671.6984951.586679e-08
0.998521.6984431.590744e-08
11.6984131.593100e-08
1.001081.6983911.576741e-08
1.003651.6983381.537875e-08
1.006221.6982861.498908e-08
1.00881.6982341.459842e-08
1.011391.6981821.420676e-08
1.013981.698131.381409e-08

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
—