Optical constants

Refractive index of MC-PCD4-40 (HOYA)

MC-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
1.29605e-08
Permittivity ε1
2.62183
Permittivity ε2
4.19714e-08
Absorption coefficient α
0.00277172 cm⁻¹
Penetration depth δ = λ/(2πk)
7.21573e+09 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

# MC-PCD4-40 (HOYA): MC-PCD4-40
hoya_mc_pcd4_40 = ls.fetch_refractiveindex("specs", "HOYA-optical", "MC-PCD4-40", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hoya_mc_pcd4_40.range_nm)  # (365.01, 1013.98) nm
eps = hoya_mc_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
MC-PCD4-40 (HOYA), MC-PCD4-40: n and k versus wavelength
λ (µm)nk
0.365011.642934.299334e-07
0.3659461.6427254.007725e-07
0.3668841.642523.715369e-07
0.3678251.6423173.422262e-07
0.3687681.6421163.128405e-07
0.3697131.6419152.833794e-07
0.371.6418552.744500e-07
0.3706611.6417162.657168e-07
0.3716121.6415182.531672e-07
0.3725651.6413212.405855e-07
0.373521.6411252.279715e-07
0.3744771.6409312.153252e-07
0.3754381.6407372.026464e-07
0.37641.6405451.899351e-07
0.3773651.6403541.771913e-07
0.3783331.6401641.644148e-07
0.3793031.6399751.516055e-07
0.381.639841.424000e-07
0.3802751.6397871.405546e-07
0.381251.6396011.340214e-07
0.3822281.6394151.274713e-07
0.3832081.6392311.209045e-07
0.384191.6390471.143209e-07
0.3851761.6388651.077203e-07
0.3861631.6386841.011029e-07
0.3871531.6385049.446843e-08
0.3881461.6383258.781699e-08
0.3891411.6381478.114850e-08
0.391.6379947.539300e-08
0.3901391.637977.496944e-08
0.3911391.6377947.191701e-08
0.3921421.6376196.885676e-08
0.3931471.6374456.578866e-08
0.3941551.6372726.271270e-08
0.3951661.63715.962885e-08
0.3961791.6369295.653709e-08
0.3971951.6367595.343740e-08
0.3982131.636595.032977e-08
0.3992341.6364224.721417e-08
0.41.6362974.487800e-08
0.4002581.6362554.468883e-08
0.4012841.6360894.393649e-08
0.4023131.6359244.318221e-08
0.4033451.635764.242601e-08
0.4043791.6355974.166786e-08
0.4054161.6354344.090778e-08
0.4064551.6352734.014574e-08
0.4074971.6351133.938175e-08
0.4085421.6349533.861580e-08
0.409591.6347943.784788e-08
0.410641.6346373.707800e-08
0.4116931.634483.630614e-08
0.4127481.6343243.553231e-08
0.4138061.6341693.475649e-08
0.4148671.6340153.397868e-08
0.4159311.6338613.319888e-08
0.4169981.6337093.241707e-08
0.4180671.6335573.163327e-08
0.4191391.6334063.084745e-08
0.421.6332863.021600e-08
0.4202131.6332573.019369e-08
0.4212911.6331073.008099e-08
0.4223711.6329592.996800e-08
0.4234541.6328122.985473e-08
0.424541.6326652.974116e-08
0.4256281.632522.962730e-08
0.4267191.6323752.951315e-08
0.4278131.632232.939871e-08
0.428911.6320872.928398e-08
0.430011.6319452.916895e-08
0.4311131.6318032.905362e-08
0.4322181.6316622.893800e-08
0.4333261.6315222.882208e-08
0.4344371.6313822.870587e-08
0.4355511.6312442.858936e-08
0.4366681.6311062.847255e-08
0.4377871.6309692.835544e-08
0.438911.6308322.823802e-08
0.441.6307012.812400e-08
0.4400351.6306972.811326e-08
0.4411631.6305622.776949e-08
0.4422951.6304282.742483e-08
0.4434291.6302942.707929e-08
0.4445661.6301622.673287e-08
0.4457051.630032.638556e-08
0.4468481.6298982.603735e-08
0.4479941.6297682.568826e-08
0.4491431.6296382.533827e-08
0.4502941.6295092.498738e-08
0.4514491.6293812.463559e-08
0.4526061.6292532.428290e-08
0.4537671.6291262.392930e-08
0.454931.6292.357480e-08
0.4560971.6288742.321939e-08
0.4572661.6287492.286307e-08
0.4584381.6286252.250584e-08
0.4596141.6285012.214769e-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
0.4800631.6264991.529937e-08
0.4812941.6263871.509289e-08
0.4825281.6262761.488588e-08
0.4837651.6261651.467834e-08
0.4850061.6260541.447027e-08
0.4862491.6259441.426167e-08
0.4874961.6258351.405253e-08
0.4887461.6257261.384286e-08
0.4899991.6256181.363264e-08
0.4912551.6255111.342189e-08
0.4925151.6254041.321060e-08
0.4937781.6252971.299877e-08
0.4950441.6251911.278639e-08
0.4963131.6250861.257347e-08
0.4975861.6249811.236000e-08
0.4988611.6248771.214599e-08
0.51.6247851.195500e-08
0.5001411.6247731.194603e-08
0.5014231.624671.186414e-08
0.5027091.6245681.178205e-08
0.5039971.6244661.169975e-08
0.505291.6243641.161723e-08
0.5065851.6242631.153451e-08
0.5078841.6241631.145157e-08
0.5091861.6240631.136842e-08
0.5104921.6239631.128506e-08
0.5118011.6238641.120148e-08
0.5131131.6237661.111769e-08
0.5144291.6236681.103368e-08
0.5157481.6235711.094946e-08
0.517071.6234741.086502e-08
0.5183961.6233771.078036e-08
0.5197251.6232811.069549e-08
0.5210571.6231861.061040e-08
0.5223931.6230911.052510e-08
0.5237331.6229971.043957e-08
0.5250761.6229031.035383e-08
0.5264221.6228091.026786e-08
0.5277721.6227161.018167e-08
0.5291251.6226241.009527e-08
0.5304811.6225321.000864e-08
0.5318421.622449.921790e-09
0.5332051.6223499.834717e-09
0.5345721.6222589.747421e-09
0.5359431.6221689.659901e-09
0.5373171.6220789.572157e-09
0.5386951.6219899.484188e-09
0.5400761.62199.395993e-09
0.5414611.6218129.307572e-09
0.5428491.6217249.218924e-09
0.5442411.6216369.130049e-09
0.5456361.6215499.040946e-09
0.5470351.6214628.951615e-09
0.5484381.6213768.862054e-09
0.5498441.621298.772264e-09
0.551.6212818.762300e-09
0.5512541.6212058.902284e-09
0.5526671.621129.060095e-09
0.5540841.6210359.218311e-09
0.5555051.6209519.376933e-09
0.5569291.6208689.535961e-09
0.5583571.6207849.695398e-09
0.5597891.6207029.855242e-09
0.5612241.6206191.001550e-08
0.5626631.6205371.017616e-08
0.5641061.6204551.033724e-08
0.5655521.6203741.049873e-08
0.5670021.6202931.066064e-08
0.5684561.6202131.082296e-08
0.5699131.6201331.098569e-08
0.5713741.6200531.114884e-08
0.5728391.6199741.131242e-08
0.5743081.6198951.147641e-08
0.5757811.6198161.164082e-08
0.5772571.6197381.180565e-08
0.5787371.619661.197091e-08
0.5802211.6195831.213659e-08
0.5817091.6195061.230269e-08
0.58321.6194291.246922e-08
0.5846951.6193531.263618e-08
0.5861951.6192771.280356e-08
0.5876971.6192021.297138e-08
0.5892041.6191261.313962e-08
0.5907151.6190511.330830e-08
0.592231.6189771.347740e-08
0.5937481.6189031.364695e-08
0.595271.6188291.381692e-08
0.5967971.6187561.398733e-08
0.5983271.6186831.415818e-08
0.5998611.618611.432947e-08
0.61.6186031.434500e-08
0.6013991.6185371.452370e-08
0.6029411.6184651.472067e-08
0.6044871.6183941.491815e-08
0.6060371.6183221.511613e-08
0.6075911.6182511.531462e-08
0.6091481.618181.551362e-08
0.610711.618111.571313e-08
0.6122761.618041.591315e-08
0.6138461.617971.611368e-08
0.615421.6179011.631473e-08
0.6169981.6178321.651629e-08
0.618581.6177631.671837e-08
0.6201661.6176941.692097e-08
0.6217561.6176261.712409e-08
0.623351.6175581.732773e-08
0.6249481.6174911.753189e-08
0.6265511.6174241.773657e-08
0.6281571.6173571.794178e-08
0.6297681.617291.814751e-08
0.6313821.6172241.835378e-08
0.6330011.6171581.856057e-08
0.6346241.6170921.876789e-08
0.6362511.6170271.897574e-08
0.6378831.6169611.918413e-08
0.6395181.6168971.939305e-08
0.6411581.6168321.960250e-08
0.6428021.6167681.981250e-08
0.644451.6167042.002303e-08
0.6461021.616642.023410e-08
0.6477591.6165772.044571e-08
0.649421.6165132.065786e-08
0.651.6164912.073200e-08
0.6510851.6164512.064531e-08
0.6527541.6163882.051189e-08
0.6544281.6163262.037814e-08
0.6561061.6162642.024404e-08
0.6577881.6162022.010959e-08
0.6594741.616141.997480e-08
0.6611651.6160791.983967e-08
0.6628611.6160181.970419e-08
0.664561.6159571.956836e-08
0.6662641.6158971.943218e-08
0.6679721.6158371.929566e-08
0.6696851.6157771.915878e-08
0.6714021.6157171.902155e-08
0.6731231.6156571.888398e-08
0.6748491.6155981.874604e-08
0.676581.6155391.860776e-08
0.6783141.6154811.846912e-08
0.6800531.6154221.833013e-08
0.6817971.6153641.819077e-08
0.6835451.6153061.805107e-08
0.6852981.6152481.791100e-08
0.6870551.6151911.777057e-08
0.6888161.6151331.762979e-08
0.6905831.6150761.748864e-08
0.6923531.615021.734713e-08
0.6941281.6149631.720526e-08
0.6959081.6149071.706302e-08
0.6976921.6148511.692042e-08
0.6994811.6147951.677746e-08
0.71.6147791.673600e-08
0.7012751.6147391.676649e-08
0.7030731.6146841.680950e-08
0.7048751.6146281.685262e-08
0.7066831.6145731.689585e-08
0.7084951.6145191.693919e-08
0.7103111.6144641.698264e-08
0.7121321.614411.702621e-08
0.7139581.6143551.706988e-08
0.7157891.6143021.711367e-08
0.7176241.6142481.715757e-08
0.7194641.6141941.720158e-08
0.7213091.6141411.724570e-08
0.7231581.6140881.728994e-08
0.7250121.6140351.733429e-08
0.7268711.6139821.737876e-08
0.7287351.613931.742334e-08
0.7306031.6138771.746803e-08
0.7324771.6138251.751284e-08
0.7343551.6137731.755776e-08
0.7362371.6137221.760280e-08
0.7381251.613671.764795e-08
0.7400181.6136191.769322e-08
0.7419151.6135681.773861e-08
0.7438171.6135171.778411e-08
0.7457241.6134661.782973e-08
0.7476361.6134151.787546e-08
0.7495531.6133651.792132e-08
0.751.6133531.793200e-08
0.7514751.6133151.796726e-08
0.7534021.6132651.801331e-08
0.7553341.6132151.805947e-08
0.757271.6131651.810576e-08
0.7592121.6131161.815216e-08
0.7611591.6130661.819869e-08
0.763111.6130171.824533e-08
0.7650671.6129681.829209e-08
0.7670281.6129191.833898e-08
0.7689951.6128711.838598e-08
0.7709671.6128221.843310e-08
0.7729431.6127741.848035e-08
0.7749251.6127261.852771e-08
0.7769121.6126781.857520e-08
0.7789041.612631.862281e-08
0.781.6126041.864900e-08
0.7809011.6125821.867054e-08
0.7829031.6125351.871839e-08
0.7849111.6124871.876636e-08
0.7869231.612441.881446e-08
0.7889411.6123931.886268e-08
0.7909641.6123461.891103e-08
0.7929921.6122991.895950e-08
0.7950251.6122531.900809e-08
0.7970631.6122061.905681e-08
0.7991071.612161.910565e-08
0.81.612141.912700e-08
0.8011561.6121141.992145e-08
0.803211.6120682.133346e-08
0.8052691.6120222.274910e-08
0.8073341.6119762.416836e-08
0.8094041.611932.559126e-08
0.8114791.6118852.701782e-08
0.813561.611842.844802e-08
0.8156461.6117942.988190e-08
0.8177371.6117493.131945e-08
0.8198341.6117043.276069e-08
0.8219361.611663.420562e-08
0.8240431.6116153.565426e-08
0.8261561.611573.710661e-08
0.8282741.6115263.856269e-08
0.831.611493.974900e-08
0.8303981.6114823.976806e-08
0.8325271.6114383.987004e-08
0.8346621.6113943.997229e-08
0.8368021.611354.007480e-08
0.8389471.6113064.017757e-08
0.8410981.6112624.028060e-08
0.8432551.6112194.038390e-08
0.8454171.6111754.048746e-08
0.8475841.6111324.059129e-08
0.8497581.6110894.069539e-08
0.851.6110844.070700e-08
0.8519361.6110464.079971e-08
0.8541211.6110034.090430e-08
0.8563111.610964.100915e-08
0.8585061.6109174.111428e-08
0.8607071.6108754.121967e-08
0.8629141.6108324.132533e-08
0.8651271.610794.143126e-08
0.8673451.6107474.153747e-08
0.8695691.6107054.164395e-08
0.8717981.6106634.175070e-08
0.8740331.6106214.185772e-08
0.8762741.6105794.196502e-08
0.8785211.6105374.207260e-08
0.8807741.6104964.218044e-08
0.8830321.6104544.228857e-08
0.8852961.6104124.239697e-08
0.8875661.6103714.250566e-08
0.8898421.610334.261462e-08
0.8921231.6102884.272386e-08
0.8944111.6102474.283337e-08
0.8967041.6102064.294318e-08
0.8990031.6101654.305326e-08
0.91.6101484.310100e-08
0.9013081.6101244.316365e-08
0.9036191.6100844.327434e-08
0.9059361.6100434.338532e-08
0.9082581.6100024.349658e-08
0.9105871.6099624.360813e-08
0.9129221.6099214.371996e-08
0.9152631.6098814.383208e-08
0.9176091.6098414.394449e-08
0.9199621.60984.405718e-08
0.9223211.609764.417017e-08
0.9246861.609724.428344e-08
0.9270561.609684.439700e-08
0.9294331.609644.451086e-08
0.9318161.60964.462501e-08
0.9342061.6095614.473945e-08
0.9366011.6095214.485418e-08
0.9390021.6094814.496921e-08
0.941411.6094424.508453e-08
0.9438241.6094024.520015e-08
0.9462441.6093634.531606e-08
0.948671.6093244.543228e-08
0.951.6093024.549600e-08
0.9511021.6092844.554876e-08
0.9535411.6092454.566552e-08
0.9559851.6092064.578258e-08
0.9584371.6091674.589994e-08
0.9608941.6091284.601760e-08
0.9633581.6090894.613556e-08
0.9658281.609054.625383e-08
0.9683041.6090114.637240e-08
0.9707871.6089724.649127e-08
0.9732761.6089334.661044e-08
0.9757711.6088944.672993e-08
0.9782731.6088564.684972e-08
0.9807811.6088174.696981e-08
0.9832961.6087794.709021e-08
0.9858171.608744.721093e-08
0.9883451.6087024.733195e-08
0.9908791.6086634.745328e-08
0.9934191.6086254.757492e-08
0.9959671.6085864.769688e-08
0.998521.6085484.781915e-08
11.6085264.789000e-08
1.001081.608514.794175e-08
1.003651.6084724.806469e-08
1.006221.6084334.818796e-08
1.00881.6083954.831153e-08
1.011391.6083574.843543e-08
1.013981.6083194.855964e-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
—