Optical constants

Refractive index of MP-PCD4-40 (HOYA)

MP-PCD4-40: 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
1.61921
Extinction coefficient k
8.27428e-09
Permittivity ε1
2.62183
Permittivity ε2
2.67956e-08
Absorption coefficient α
0.00176953 cm⁻¹
Penetration depth δ = λ/(2πk)
1.13024e+10 nm
Abbe number Vd
63.855
Chromatic dispersion dn/dλ
-0.0501113 µm⁻¹
Group index ng
1.64865
Group velocity dispersion
87.8265 fs²/mm
Dispersion parameter D
-479.14 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-PCD4-40 (HOYA): MP-PCD4-40
hoya_mp_pcd4_40 = ls.fetch_refractiveindex("specs", "HOYA-optical", "MP-PCD4-40", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hoya_mp_pcd4_40.range_nm)  # (365.01, 1013.98) nm
eps = hoya_mp_pcd4_40.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=2.5831471−0.0097502344⁢λ2.0+0.013615374⁢λ−2.0+0.00036346122⁢λ−4.0−2.1187082×10-5⁢λ−6.0+1.1536132×10-6⁢λ−8.0

Valid from 0.36501 to 1.01398 µm.

Coefficients as stored
CiValue
C12.5831471
C2-0.0097502344
C32.0
C40.013615374
C5-2.0
C60.00036346122
C7-4.0
C8-2.1187082e-05
C9-6.0
C101.1536132e-06
C11-8.0

Comments and conditions

Preforms for Precision molding

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -1.08e-05 2.42e-09 1.57e-11 7.21e-07 4.29e-10 1.46e-09
nd
1.61921
Vd
63.86
glass code
619639
glass status
standard
density
value: 3570
thermal expansion
value: 8.7e-06, temperature range: 243 343; value: 1.3e-05, temperature range: 293 573
dPgF
0.0085
resistance
acid: 4.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -4.49e-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-PCD4-40 (HOYA), MP-PCD4-40: n and k versus wavelength
λ (µm)nk
0.365011.642936.964705e-07
0.3659461.6427256.530001e-07
0.3668841.642526.094183e-07
0.3678251.6423175.657247e-07
0.3687681.6421165.219190e-07
0.3697131.6419154.780011e-07
0.371.6418554.646900e-07
0.3706611.6417164.497651e-07
0.3716121.6415184.283183e-07
0.3725651.6413214.068164e-07
0.373521.6411253.852594e-07
0.3744771.6409313.636472e-07
0.3754381.6407373.419795e-07
0.37641.6405453.202563e-07
0.3773651.6403542.984774e-07
0.3783331.6401642.766427e-07
0.3793031.6399752.547519e-07
0.381.639842.390200e-07
0.3802751.6397872.359264e-07
0.381251.6396012.249741e-07
0.3822281.6394152.139937e-07
0.3832081.6392312.029851e-07
0.384191.6390471.919483e-07
0.3851761.6388651.808833e-07
0.3861631.6386841.697898e-07
0.3871531.6385041.586679e-07
0.3881461.6383251.475175e-07
0.3891411.6381471.363385e-07
0.391.6379941.266900e-07
0.3901391.637971.259596e-07
0.3911391.6377941.206956e-07
0.3921421.6376191.154181e-07
0.3931471.6374451.101270e-07
0.3941551.6372721.048225e-07
0.3951661.63719.950426e-08
0.3961791.6369299.417244e-08
0.3971951.6367598.882694e-08
0.3982131.636598.346774e-08
0.3992341.6364227.809479e-08
0.41.6362977.406600e-08
0.4002581.6362557.363099e-08
0.4012841.6360897.190094e-08
0.4023131.6359247.016646e-08
0.4033451.635766.842752e-08
0.4043791.6355976.668413e-08
0.4054161.6354346.493627e-08
0.4064551.6352736.318393e-08
0.4074971.6351136.142709e-08
0.4085421.6349535.966575e-08
0.409591.6347945.789990e-08
0.410641.6346375.612951e-08
0.4116931.634485.435459e-08
0.4127481.6343245.257511e-08
0.4138061.6341695.079108e-08
0.4148671.6340154.900247e-08
0.4159311.6338614.720927e-08
0.4169981.6337094.541148e-08
0.4180671.6335574.360907e-08
0.4191391.6334064.180205e-08
0.421.6332864.035000e-08
0.4202131.6332574.025726e-08
0.4212911.6331073.978886e-08
0.4223711.6329593.931925e-08
0.4234541.6328123.884844e-08
0.424541.6326653.837642e-08
0.4256281.632523.790319e-08
0.4267191.6323753.742875e-08
0.4278131.632233.695309e-08
0.428911.6320873.647622e-08
0.430011.6319453.599812e-08
0.4311131.6318033.551879e-08
0.4322181.6316623.503824e-08
0.4333261.6315223.455645e-08
0.4344371.6313823.407343e-08
0.4355511.6312443.358917e-08
0.4366681.6311063.310367e-08
0.4377871.6309693.261692e-08
0.438911.6308323.212892e-08
0.441.6307013.165500e-08
0.4400351.6306973.163804e-08
0.4411631.6305623.109507e-08
0.4422951.6304283.055072e-08
0.4434291.6302943.000497e-08
0.4445661.6301622.945782e-08
0.4457051.630032.890926e-08
0.4468481.6298982.835930e-08
0.4479941.6297682.780793e-08
0.4491431.6296382.725515e-08
0.4502941.6295092.670095e-08
0.4514491.6293812.614533e-08
0.4526061.6292532.558828e-08
0.4537671.6291262.502980e-08
0.454931.6292.446990e-08
0.4560971.6288742.390855e-08
0.4572661.6287492.334577e-08
0.4584381.6286252.278155e-08
0.4596141.6285012.221588e-08
0.461.6284612.203000e-08
0.4607921.6283792.176382e-08
0.4619741.6282562.136685e-08
0.4631581.6281352.096887e-08
0.4643461.6280142.056986e-08
0.4655361.6278942.016983e-08
0.466731.6277741.976877e-08
0.4679271.6276551.936669e-08
0.4691261.6275371.896357e-08
0.4703291.6274191.855942e-08
0.4715351.6273021.815424e-08
0.4727441.6271851.774801e-08
0.4739561.6270691.734075e-08
0.4751711.6269541.693244e-08
0.476391.626841.652308e-08
0.4776111.6267261.611267e-08
0.4788361.6266121.570122e-08
0.481.6265051.531000e-08
0.4800631.6264991.528672e-08
0.4812941.6263871.483473e-08
0.4825281.6262761.438158e-08
0.4837651.6261651.392727e-08
0.4850061.6260541.347179e-08
0.4862491.6259441.301514e-08
0.4874961.6258351.255732e-08
0.4887461.6257261.209833e-08
0.4899991.6256181.163817e-08
0.4912551.6255111.117682e-08
0.4925151.6254041.071429e-08
0.4937781.6252971.025057e-08
0.4950441.6251919.785666e-09
0.4963131.6250869.319568e-09
0.4975861.6249818.852276e-09
0.4988611.6248778.383785e-09
0.51.6247857.965700e-09
0.5001411.6247737.955619e-09
0.5014231.624677.863631e-09
0.5027091.6245687.771408e-09
0.5039971.6244667.678948e-09
0.505291.6243647.586251e-09
0.5065851.6242637.493316e-09
0.5078841.6241637.400143e-09
0.5091861.6240637.306731e-09
0.5104921.6239637.213080e-09
0.5118011.6238647.119188e-09
0.5131131.6237667.025056e-09
0.5144291.6236686.930682e-09
0.5157481.6235716.836067e-09
0.517071.6234746.741209e-09
0.5183961.6233776.646107e-09
0.5197251.6232816.550762e-09
0.5210571.6231866.455172e-09
0.5223931.6230916.359338e-09
0.5237331.6229976.263257e-09
0.5250761.6229036.166930e-09
0.5264221.6228096.070357e-09
0.5277721.6227165.973535e-09
0.5291251.6226245.876465e-09
0.5304811.6225325.779147e-09
0.5318421.622445.681579e-09
0.5332051.6223495.583761e-09
0.5345721.6222585.485692e-09
0.5359431.6221685.387371e-09
0.5373171.6220785.288799e-09
0.5386951.6219895.189973e-09
0.5400761.62195.090895e-09
0.5414611.6218124.991562e-09
0.5428491.6217244.891974e-09
0.5442411.6216364.792132e-09
0.5456361.6215494.692033e-09
0.5470351.6214624.591678e-09
0.5484381.6213764.491065e-09
0.5498441.621294.390194e-09
0.551.6212814.379000e-09
0.5512541.6212054.508884e-09
0.5526671.621124.655309e-09
0.5540841.6210354.802110e-09
0.5555051.6209514.949286e-09
0.5569291.6208685.096841e-09
0.5583571.6207845.244773e-09
0.5597891.6207025.393085e-09
0.5612241.6206195.541777e-09
0.5626631.6205375.690851e-09
0.5641061.6204555.840306e-09
0.5655521.6203745.990145e-09
0.5670021.6202936.140368e-09
0.5684561.6202136.290976e-09
0.5699131.6201336.441970e-09
0.5713741.6200536.593352e-09
0.5728391.6199746.745121e-09
0.5743081.6198956.897280e-09
0.5757811.6198167.049829e-09
0.5772571.6197387.202769e-09
0.5787371.619667.356101e-09
0.5802211.6195837.509826e-09
0.5817091.6195067.663945e-09
0.58321.6194297.818460e-09
0.5846951.6193537.973371e-09
0.5861951.6192778.128679e-09
0.5876971.6192028.284385e-09
0.5892041.6191268.440490e-09
0.5907151.6190518.596996e-09
0.592231.6189778.753902e-09
0.5937481.6189038.911212e-09
0.595271.6188299.068924e-09
0.5967971.6187569.227041e-09
0.5983271.6186839.385563e-09
0.5998611.618619.544492e-09
0.61.6186039.558900e-09
0.6013991.6185379.726273e-09
0.6029411.6184659.910757e-09
0.6044871.6183941.009571e-08
0.6060371.6183221.028115e-08
0.6075911.6182511.046705e-08
0.6091481.618181.065344e-08
0.610711.618111.084030e-08
0.6122761.618041.102764e-08
0.6138461.617971.121546e-08
0.615421.6179011.140376e-08
0.6169981.6178321.159254e-08
0.618581.6177631.178181e-08
0.6201661.6176941.197157e-08
0.6217561.6176261.216181e-08
0.623351.6175581.235254e-08
0.6249481.6174911.254376e-08
0.6265511.6174241.273546e-08
0.6281571.6173571.292766e-08
0.6297681.617291.312036e-08
0.6313821.6172241.331354e-08
0.6330011.6171581.350722e-08
0.6346241.6170921.370140e-08
0.6362511.6170271.389608e-08
0.6378831.6169611.409125e-08
0.6395181.6168971.428693e-08
0.6411581.6168321.448311e-08
0.6428021.6167681.467979e-08
0.644451.6167041.487697e-08
0.6461021.616641.507466e-08
0.6477591.6165771.527286e-08
0.649421.6165131.547156e-08
0.651.6164911.554100e-08
0.6510851.6164511.568820e-08
0.6527541.6163881.591473e-08
0.6544281.6163261.614184e-08
0.6561061.6162641.636954e-08
0.6577881.6162021.659782e-08
0.6594741.616141.682668e-08
0.6611651.6160791.705613e-08
0.6628611.6160181.728617e-08
0.664561.6159571.751680e-08
0.6662641.6158971.774802e-08
0.6679721.6158371.797984e-08
0.6696851.6157771.821224e-08
0.6714021.6157171.844525e-08
0.6731231.6156571.867885e-08
0.6748491.6155981.891305e-08
0.676581.6155391.914785e-08
0.6783141.6154811.938325e-08
0.6800531.6154221.961926e-08
0.6817971.6153641.985587e-08
0.6835451.6153062.009309e-08
0.6852981.6152482.033091e-08
0.6870551.6151912.056935e-08
0.6888161.6151332.080840e-08
0.6905831.6150762.104806e-08
0.6923531.615022.128833e-08
0.6941281.6149632.152922e-08
0.6959081.6149072.177073e-08
0.6976921.6148512.201286e-08
0.6994811.6147952.225561e-08
0.71.6147792.232600e-08
0.7012751.6147392.236666e-08
0.7030731.6146842.242402e-08
0.7048751.6146282.248153e-08
0.7066831.6145732.253918e-08
0.7084951.6145192.259698e-08
0.7103111.6144642.265493e-08
0.7121321.614412.271302e-08
0.7139581.6143552.277127e-08
0.7157891.6143022.282966e-08
0.7176241.6142482.288821e-08
0.7194641.6141942.294690e-08
0.7213091.6141412.300575e-08
0.7231581.6140882.306474e-08
0.7250121.6140352.312389e-08
0.7268711.6139822.318319e-08
0.7287351.613932.324264e-08
0.7306031.6138772.330225e-08
0.7324771.6138252.336200e-08
0.7343551.6137732.342191e-08
0.7362371.6137222.348198e-08
0.7381251.613672.354219e-08
0.7400181.6136192.360256e-08
0.7419151.6135682.366309e-08
0.7438171.6135172.372377e-08
0.7457241.6134662.378461e-08
0.7476361.6134152.384560e-08
0.7495531.6133652.390675e-08
0.751.6133532.392100e-08
0.7514751.6133152.427465e-08
0.7534021.6132652.473656e-08
0.7553341.6132152.519965e-08
0.757271.6131652.566393e-08
0.7592121.6131162.612940e-08
0.7611591.6130662.659607e-08
0.763111.6130172.706393e-08
0.7650671.6129682.753299e-08
0.7670281.6129192.800325e-08
0.7689951.6128712.847472e-08
0.7709671.6128222.894739e-08
0.7729431.6127742.942128e-08
0.7749251.6127262.989639e-08
0.7769121.6126783.037271e-08
0.7789041.612633.085025e-08
0.781.6126043.111300e-08
0.7809011.6125823.086083e-08
0.7829031.6125353.030051e-08
0.7849111.6124872.973876e-08
0.7869231.612442.917557e-08
0.7889411.6123932.861093e-08
0.7909641.6123462.804484e-08
0.7929921.6122992.747731e-08
0.7950251.6122532.690831e-08
0.7970631.6122062.633786e-08
0.7991071.612162.576595e-08
0.81.612142.551600e-08
0.8011561.6121142.529753e-08
0.803211.6120682.490923e-08
0.8052691.6120222.451993e-08
0.8073341.6119762.412964e-08
0.8094041.611932.373834e-08
0.8114791.6118852.334604e-08
0.813561.611842.295274e-08
0.8156461.6117942.255843e-08
0.8177371.6117492.216311e-08
0.8198341.6117042.176677e-08
0.8219361.611662.136942e-08
0.8240431.6116152.097104e-08
0.8261561.611572.057165e-08
0.8282741.6115262.017123e-08
0.831.611491.984500e-08
0.8303981.6114821.998955e-08
0.8325271.6114382.076305e-08
0.8346621.6113942.153854e-08
0.8368021.611352.231602e-08
0.8389471.6113062.309549e-08
0.8410981.6112622.387697e-08
0.8432551.6112192.466044e-08
0.8454171.6111752.544592e-08
0.8475841.6111322.623342e-08
0.8497581.6110892.702293e-08
0.851.6110842.711100e-08
0.8519361.6110462.689440e-08
0.8541211.6110032.665006e-08
0.8563111.610962.640509e-08
0.8585061.6109172.615950e-08
0.8607071.6108752.591328e-08
0.8629141.6108322.566642e-08
0.8651271.610792.541893e-08
0.8673451.6107472.517081e-08
0.8695691.6107052.492205e-08
0.8717981.6106632.467265e-08
0.8740331.6106212.442262e-08
0.8762741.6105792.417194e-08
0.8785211.6105372.392062e-08
0.8807741.6104962.366865e-08
0.8830321.6104542.341604e-08
0.8852961.6104122.316278e-08
0.8875661.6103712.290888e-08
0.8898421.610332.265432e-08
0.8921231.6102882.239911e-08
0.8944111.6102472.214324e-08
0.8967041.6102062.188672e-08
0.8990031.6101652.162954e-08
0.91.6101482.151800e-08
0.9013081.6101242.135104e-08
0.9036191.6100842.105602e-08
0.9059361.6100432.076025e-08
0.9082581.6100022.046373e-08
0.9105871.6099622.016644e-08
0.9129221.6099211.986839e-08
0.9152631.6098811.956958e-08
0.9176091.6098411.927000e-08
0.9199621.60981.896965e-08
0.9223211.609761.866853e-08
0.9246861.609721.836664e-08
0.9270561.609681.806397e-08
0.9294331.609641.776053e-08
0.9318161.60961.745632e-08
0.9342061.6095611.715132e-08
0.9366011.6095211.684554e-08
0.9390021.6094811.653897e-08
0.941411.6094421.623162e-08
0.9438241.6094021.592348e-08
0.9462441.6093631.561455e-08
0.948671.6093241.530483e-08
0.951.6093021.513500e-08
0.9511021.6092841.515254e-08
0.9535411.6092451.519137e-08
0.9559851.6092061.523029e-08
0.9584371.6091671.526931e-08
0.9608941.6091281.530843e-08
0.9633581.6090891.534765e-08
0.9658281.609051.538698e-08
0.9683041.6090111.542640e-08
0.9707871.6089721.546592e-08
0.9732761.6089331.550555e-08
0.9757711.6088941.554528e-08
0.9782731.6088561.558511e-08
0.9807811.6088171.562504e-08
0.9832961.6087791.566507e-08
0.9858171.608741.570521e-08
0.9883451.6087021.574545e-08
0.9908791.6086631.578579e-08
0.9934191.6086251.582624e-08
0.9959671.6085861.586679e-08
0.998521.6085481.590744e-08
11.6085261.593100e-08
1.001081.608511.594822e-08
1.003651.6084721.598913e-08
1.006221.6084331.603015e-08
1.00881.6083951.607128e-08
1.011391.6083571.611251e-08
1.013981.6083191.615384e-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
—