Optical constants

Refractive index of MP-LAC8-30 (HOYA)

MP-LAC8-30: 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
1.7133
Extinction coefficient k
1.29605e-08
Permittivity ε1
2.93539
Permittivity ε2
4.44104e-08
Absorption coefficient α
0.00277172 cm⁻¹
Penetration depth δ = λ/(2πk)
7.21573e+09 nm
Abbe number Vd
53.95
Chromatic dispersion dn/dλ
-0.0682258 µm⁻¹
Group index ng
1.75339
Group velocity dispersion
120.541 fs²/mm
Dispersion parameter D
-657.614 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

# MP-LAC8-30 (HOYA): MP-LAC8-30
hoya_mp_lac8_30 = ls.fetch_refractiveindex("specs", "HOYA-optical", "MP-LAC8-30", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hoya_mp_lac8_30.range_nm)  # (365.01, 1013.98) nm
eps = hoya_mp_lac8_30.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=2.8827498−0.015740789⁢λ2.0+0.017707976⁢λ−2.0+0.0010483265⁢λ−4.0−9.8332811×10-5⁢λ−6.0+5.4828685×10-6⁢λ−8.0

Valid from 0.36501 to 1.01398 µm.

Coefficients as stored
CiValue
C12.8827498
C2-0.015740789
C32.0
C40.017707976
C5-2.0
C60.0010483265
C7-4.0
C8-9.8332811e-05
C9-6.0
C105.4828685e-06
C11-8.0

Comments and conditions

Not in a position to accept new order because of discontinuation.

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 5.46808e-06 0.0 0.0 0.0 0.0 0.0
nd
1.71330
Vd
53.95
glass code
713539
glass status
special
density
value: 3900
thermal expansion
value: 6.3e-06, temperature range: 243 343; value: 7.9e-06, temperature range: 293 573
dPgF
-0.0064
resistance
acid: 4.0; stain: 2.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 3.08e-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
MP-LAC8-30 (HOYA), MP-LAC8-30: n and k versus wavelength
λ (µm)nk
0.365011.7459793.354020e-07
0.3659461.745693.173425e-07
0.3668841.7454022.992366e-07
0.3678251.7451172.810843e-07
0.3687681.7448332.628855e-07
0.3697131.7445522.446400e-07
0.371.7444672.391100e-07
0.3706611.7442722.331340e-07
0.3716121.7439942.245465e-07
0.3725651.7437182.159370e-07
0.373521.7434442.073054e-07
0.3744771.7431711.986517e-07
0.3754381.7429011.899758e-07
0.37641.7426321.812776e-07
0.3773651.7423651.725572e-07
0.3783331.7420991.638144e-07
0.3793031.7418361.550492e-07
0.381.7416481.487500e-07
0.3802751.7415741.474333e-07
0.381251.7413131.427718e-07
0.3822281.7410551.380983e-07
0.3832081.7407981.334128e-07
0.384191.7405431.287153e-07
0.3851761.7402891.240058e-07
0.3861631.7400371.192842e-07
0.3871531.7397861.145505e-07
0.3881461.7395371.098046e-07
0.3891411.739291.050466e-07
0.391.7390781.009400e-07
0.3901391.7390441.005670e-07
0.3911391.73889.787876e-08
0.3921421.7385579.518365e-08
0.3931471.7383169.248164e-08
0.3941551.7380768.977269e-08
0.3951661.7378378.705680e-08
0.3961791.7376018.433395e-08
0.3971951.7373658.160411e-08
0.3982131.7371317.886728e-08
0.3992341.7368997.612342e-08
0.41.7367267.406600e-08
0.4002581.7366677.371836e-08
0.4012841.7364387.233580e-08
0.4023131.7362097.094970e-08
0.4033451.7359826.956003e-08
0.4043791.7357576.816681e-08
0.4054161.7355326.677002e-08
0.4064551.7353096.536964e-08
0.4074971.7350886.396567e-08
0.4085421.7348686.255810e-08
0.409591.7346496.114693e-08
0.410641.7344315.973213e-08
0.4116931.7342155.831371e-08
0.4127481.7339995.689165e-08
0.4138061.7337865.546594e-08
0.4148671.7335735.403658e-08
0.4159311.7333625.260356e-08
0.4169981.7331525.116686e-08
0.4180671.7329434.972647e-08
0.4191391.7327354.828240e-08
0.421.7325694.712200e-08
0.4202131.7325284.699474e-08
0.4212911.7323234.635195e-08
0.4223711.7321194.570752e-08
0.4234541.7319164.506143e-08
0.424541.7317154.441369e-08
0.4256281.7315144.376429e-08
0.4267191.7313154.311322e-08
0.4278131.7311164.246048e-08
0.428911.7309194.180607e-08
0.430011.7307234.114999e-08
0.4311131.7305284.049221e-08
0.4322181.7303343.983276e-08
0.4333261.7301423.917161e-08
0.4344371.729953.850877e-08
0.4355511.729763.784422e-08
0.4366681.729573.717798e-08
0.4377871.7293823.651002e-08
0.438911.7291953.584036e-08
0.441.7290143.519000e-08
0.4400351.7290083.517330e-08
0.4411631.7288233.463874e-08
0.4422951.7286393.410281e-08
0.4434291.7284563.356551e-08
0.4445661.7282743.302683e-08
0.4457051.7280933.248677e-08
0.4468481.7279133.194532e-08
0.4479941.7277343.140249e-08
0.4491431.7275563.085826e-08
0.4502941.7273793.031264e-08
0.4514491.7272032.976562e-08
0.4526061.7270272.921719e-08
0.4537671.7268532.866737e-08
0.454931.726682.811613e-08
0.4560971.7265082.756347e-08
0.4572661.7263372.700940e-08
0.4584381.7261662.645391e-08
0.4596141.7259972.589700e-08
0.461.7259422.571400e-08
0.4607921.7258292.545384e-08
0.4619741.7256612.506585e-08
0.4631581.7254942.467687e-08
0.4643461.7253292.428689e-08
0.4655361.7251642.389590e-08
0.466731.7252.350392e-08
0.4679271.7248372.311093e-08
0.4691261.7246752.271693e-08
0.4703291.7245142.232192e-08
0.4715351.7243532.192590e-08
0.4727441.7241942.152887e-08
0.4739561.7240352.113081e-08
0.4751711.7238772.073174e-08
0.476391.7237212.033164e-08
0.4776111.7235651.993052e-08
0.4788361.7234091.952837e-08
0.481.7232631.914600e-08
0.4800631.7232551.912321e-08
0.4812941.7231011.868065e-08
0.4825281.7229491.823696e-08
0.4837651.7227971.779213e-08
0.4850061.7226461.734616e-08
0.4862491.7224951.689904e-08
0.4874961.7223461.645078e-08
0.4887461.7221971.600137e-08
0.4899991.7220491.555081e-08
0.4912551.7219021.509909e-08
0.4925151.7217561.464622e-08
0.4937781.721611.419218e-08
0.4950441.7214661.373698e-08
0.4963131.7213221.328061e-08
0.4975861.7211781.282307e-08
0.4988611.7210361.236436e-08
0.51.720911.195500e-08
0.5001411.7208941.194603e-08
0.5014231.7207531.186414e-08
0.5027091.7206131.178205e-08
0.5039971.7204731.169975e-08
0.505291.7203351.161723e-08
0.5065851.7201971.153451e-08
0.5078841.7200591.145157e-08
0.5091861.7199231.136842e-08
0.5104921.7197871.128506e-08
0.5118011.7196521.120148e-08
0.5131131.7195171.111769e-08
0.5144291.7193841.103368e-08
0.5157481.719251.094946e-08
0.517071.7191181.086502e-08
0.5183961.7189861.078036e-08
0.5197251.7188551.069549e-08
0.5210571.7187251.061040e-08
0.5223931.7185961.052510e-08
0.5237331.7184671.043957e-08
0.5250761.7183381.035383e-08
0.5264221.7182111.026786e-08
0.5277721.7180841.018167e-08
0.5291251.7179571.009527e-08
0.5304811.7178321.000864e-08
0.5318421.7177079.921790e-09
0.5332051.7175829.834717e-09
0.5345721.7174589.747421e-09
0.5359431.7173359.659901e-09
0.5373171.7172139.572157e-09
0.5386951.7170919.484188e-09
0.5400761.716979.395993e-09
0.5414611.7168499.307572e-09
0.5428491.7167299.218924e-09
0.5442411.716619.130049e-09
0.5456361.7164919.040946e-09
0.5470351.7163738.951615e-09
0.5484381.7162558.862054e-09
0.5498441.7161388.772264e-09
0.551.7161258.762300e-09
0.5512541.7160228.902284e-09
0.5526671.7159069.060095e-09
0.5540841.7157919.218311e-09
0.5555051.7156769.376933e-09
0.5569291.7155629.535961e-09
0.5583571.7154489.695398e-09
0.5597891.7153359.855242e-09
0.5612241.7152231.001550e-08
0.5626631.7151111.017616e-08
0.5641061.7151.033724e-08
0.5655521.7148891.049873e-08
0.5670021.7147791.066064e-08
0.5684561.7146691.082296e-08
0.5699131.714561.098569e-08
0.5713741.7144521.114884e-08
0.5728391.7143441.131242e-08
0.5743081.7142361.147641e-08
0.5757811.7141291.164082e-08
0.5772571.7140231.180565e-08
0.5787371.7139171.197091e-08
0.5802211.7138111.213659e-08
0.5817091.7137061.230269e-08
0.58321.7136021.246922e-08
0.5846951.7134981.263618e-08
0.5861951.7133951.280356e-08
0.5876971.7132921.297138e-08
0.5892041.713191.313962e-08
0.5907151.7130881.330830e-08
0.592231.7129861.347740e-08
0.5937481.7128851.364695e-08
0.595271.7127851.381692e-08
0.5967971.7126851.398733e-08
0.5983271.7125861.415818e-08
0.5998611.7124871.432947e-08
0.61.7124781.434500e-08
0.6013991.7123881.437846e-08
0.6029411.712291.441535e-08
0.6044871.7121921.445233e-08
0.6060371.7120951.448940e-08
0.6075911.7119991.452657e-08
0.6091481.7119021.456383e-08
0.610711.7118071.460119e-08
0.6122761.7117111.463864e-08
0.6138461.7116161.467620e-08
0.615421.7115221.471384e-08
0.6169981.7114281.475159e-08
0.618581.7113341.478943e-08
0.6201661.7112411.482736e-08
0.6217561.7111491.486540e-08
0.623351.7110561.490353e-08
0.6249481.7109651.494176e-08
0.6265511.7108731.498009e-08
0.6281571.7107821.501852e-08
0.6297681.7106921.505704e-08
0.6313821.7106011.509566e-08
0.6330011.7105121.513439e-08
0.6346241.7104221.517321e-08
0.6362511.7103331.521213e-08
0.6378831.7102451.525115e-08
0.6395181.7101571.529027e-08
0.6411581.7100691.532950e-08
0.6428021.7099811.536882e-08
0.644451.7098941.540824e-08
0.6461021.7098081.544777e-08
0.6477591.7097221.548739e-08
0.649421.7096361.552712e-08
0.651.7096061.554100e-08
0.6510851.709551.544578e-08
0.6527541.7094651.529925e-08
0.6544281.7093811.515233e-08
0.6561061.7092961.500505e-08
0.6577881.7092121.485738e-08
0.6594741.7091291.470933e-08
0.6611651.7090461.456091e-08
0.6628611.7089631.441210e-08
0.664561.708881.426292e-08
0.6662641.7087981.411335e-08
0.6679721.7087161.396340e-08
0.6696851.7086351.381306e-08
0.6714021.7085541.366234e-08
0.6731231.7084731.351123e-08
0.6748491.7083921.335973e-08
0.676581.7083121.320784e-08
0.6783141.7082331.305557e-08
0.6800531.7081531.290291e-08
0.6817971.7080741.274985e-08
0.6835451.7079951.259640e-08
0.6852981.7079171.244256e-08
0.6870551.7078391.228832e-08
0.6888161.7077611.213369e-08
0.6905831.7076831.197866e-08
0.6923531.7076061.182324e-08
0.6941281.7075291.166741e-08
0.6959081.7074531.151119e-08
0.6976921.7073771.135456e-08
0.6994811.7073011.119754e-08
0.71.7072791.115200e-08
0.7012751.7072251.117232e-08
0.7030731.707151.120098e-08
0.7048751.7070751.122971e-08
0.7066831.7071.125852e-08
0.7084951.7069261.128740e-08
0.7103111.7068521.131636e-08
0.7121321.7067781.134539e-08
0.7139581.7067041.137449e-08
0.7157891.7066311.140367e-08
0.7176241.7065581.143293e-08
0.7194641.7064851.146226e-08
0.7213091.7064131.149166e-08
0.7231581.7063411.152114e-08
0.7250121.7062691.155070e-08
0.7268711.7061971.158033e-08
0.7287351.7061261.161003e-08
0.7306031.7060551.163982e-08
0.7324771.7059841.166968e-08
0.7343551.7059131.169961e-08
0.7362371.7058431.172963e-08
0.7381251.7057731.175971e-08
0.7400181.7057031.178988e-08
0.7419151.7056341.182013e-08
0.7438171.7055641.185045e-08
0.7457241.7054951.188085e-08
0.7476361.7054271.191132e-08
0.7495531.7053581.194188e-08
0.751.7053421.194900e-08
0.7514751.705291.197250e-08
0.7534021.7052221.200320e-08
0.7553341.7051541.203398e-08
0.757271.7050861.206484e-08
0.7592121.7050191.209578e-08
0.7611591.7049521.212679e-08
0.763111.7048851.215789e-08
0.7650671.7048181.218906e-08
0.7670281.7047521.222032e-08
0.7689951.7046861.225165e-08
0.7709671.704621.228307e-08
0.7729431.7045541.231456e-08
0.7749251.7044881.234614e-08
0.7769121.7044231.237780e-08
0.7789041.7043581.240954e-08
0.781.7043221.242700e-08
0.7809011.7042931.215408e-08
0.7829031.7042281.154765e-08
0.7849111.7041641.093967e-08
0.7869231.70411.033013e-08
0.7889411.7040359.719023e-09
0.7909641.7039729.106352e-09
0.7929921.7039088.492110e-09
0.7950251.7038447.876293e-09
0.7970631.7037817.258897e-09
0.7991071.7037186.639918e-09
0.81.7036916.369400e-09
0.8011561.7036556.633431e-09
0.803211.7035927.102705e-09
0.8052691.703537.573183e-09
0.8073341.7034678.044867e-09
0.8094041.7034058.517760e-09
0.8114791.7033438.991866e-09
0.813561.7032819.467187e-09
0.8156461.703229.943728e-09
0.8177371.7031581.042149e-08
0.8198341.7030971.090048e-08
0.8219361.7030361.138069e-08
0.8240431.7029751.186214e-08
0.8261561.7029141.234482e-08
0.8282741.7028541.282874e-08
0.831.7028051.322300e-08
0.8303981.7027931.322935e-08
0.8325271.7027331.326331e-08
0.8346621.7026731.329735e-08
0.8368021.7026131.333149e-08
0.8389471.7025531.336571e-08
0.8410981.7024931.340002e-08
0.8432551.7024341.343441e-08
0.8454171.7023751.346890e-08
0.8475841.7023151.350347e-08
0.8497581.7022561.353813e-08
0.851.702251.354200e-08
0.8519361.7021971.357283e-08
0.8541211.7021391.360760e-08
0.8563111.702081.364247e-08
0.8585061.7020211.367742e-08
0.8607071.7019631.371246e-08
0.8629141.7019051.374759e-08
0.8651271.7018471.378282e-08
0.8673451.7017891.381813e-08
0.8695691.7017311.385353e-08
0.8717981.7016731.388903e-08
0.8740331.7016161.392461e-08
0.8762741.7015581.396029e-08
0.8785211.7015011.399606e-08
0.8807741.7014441.403192e-08
0.8830321.7013871.406787e-08
0.8852961.701331.410391e-08
0.8875661.7012731.414005e-08
0.8898421.7012161.417628e-08
0.8921231.701161.421260e-08
0.8944111.7011031.424902e-08
0.8967041.7010471.428552e-08
0.8990031.7009911.432213e-08
0.91.7009661.433800e-08
0.9013081.7009351.435885e-08
0.9036191.7008791.439568e-08
0.9059361.7008231.443261e-08
0.9082581.7007671.446964e-08
0.9105871.7007111.450676e-08
0.9129221.7006551.454398e-08
0.9152631.70061.458129e-08
0.9176091.7005441.461869e-08
0.9199621.7004891.465619e-08
0.9223211.7004341.469379e-08
0.9246861.7003791.473149e-08
0.9270561.7003241.476928e-08
0.9294331.7002691.480717e-08
0.9318161.7002141.484515e-08
0.9342061.7001591.488324e-08
0.9366011.7001041.492142e-08
0.9390021.7000491.495970e-08
0.941411.6999951.499807e-08
0.9438241.699941.503655e-08
0.9462441.6998861.507512e-08
0.948671.6998321.511379e-08
0.951.6998021.513500e-08
0.9511021.6997771.515254e-08
0.9535411.6997231.519137e-08
0.9559851.6996691.523029e-08
0.9584371.6996151.526931e-08
0.9608941.6995611.530843e-08
0.9633581.6995071.534765e-08
0.9658281.6994531.538698e-08
0.9683041.6993991.542640e-08
0.9707871.6993451.546592e-08
0.9732761.6992921.550555e-08
0.9757711.6992381.554528e-08
0.9782731.6991841.558511e-08
0.9807811.6991311.562504e-08
0.9832961.6990771.566507e-08
0.9858171.6990241.570521e-08
0.9883451.6989711.574545e-08
0.9908791.6989171.578579e-08
0.9934191.6988641.582624e-08
0.9959671.6988111.586679e-08
0.998521.6987571.590744e-08
11.6987271.593100e-08
1.001081.6987041.594822e-08
1.003651.6986511.598913e-08
1.006221.6985981.603015e-08
1.00881.6985451.607128e-08
1.011391.6984921.611251e-08
1.013981.6984391.615384e-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
—