Optical constants

Refractive index of MC-PCD51-70 (HOYA)

MC-PCD51-70: 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
1.59271
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.53671
Permittivity ε2
1.49023e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
66.972
Chromatic dispersion dn/dλ
-0.0458624 µm⁻¹
Group index ng
1.61965
Group velocity dispersion
78.4004 fs²/mm
Dispersion parameter D
-427.716 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-PCD51-70 (HOYA): MC-PCD51-70
hoya_mc_pcd51_70 = ls.fetch_refractiveindex("specs", "HOYA-optical", "MC-PCD51-70", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hoya_mc_pcd51_70.range_nm)  # (365.01, 1013.98) nm
eps = hoya_mc_pcd51_70.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=2.5025436−0.010321437⁢λ2.0+0.012433636⁢λ−2.0+0.00021866535⁢λ−4.0−5.5793977×10-6⁢λ−6.0+3.0188383×10-7⁢λ−8.0

Valid from 0.36501 to 1.01398 µm.

Coefficients as stored
CiValue
C12.5025436
C2-0.010321437
C32.0
C40.012433636
C5-2.0
C60.00021866535
C7-4.0
C8-5.5793977e-06
C9-6.0
C103.0188383e-07
C11-8.0

Comments and conditions

Preforms for Precision molding

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -5.75e-06 4.33e-09 -1.7e-11 3.99e-07 4.04e-10 0.175
nd
1.59271
Vd
66.97
glass code
593670
glass status
standard
density
value: 3140
thermal expansion
value: 8.9e-06, temperature range: 243 343; value: 1.16e-05, temperature range: 293 573
dPgF
0.009
resistance
acid: 4.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -2.25e-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-PCD51-70 (HOYA), MC-PCD51-70: n and k versus wavelength
λ (µm)nk
0.365011.6141287.770296e-08
0.3659461.6139447.259823e-08
0.3668841.6137626.748042e-08
0.3678251.613586.234949e-08
0.3687681.61345.720540e-08
0.3697131.613225.204812e-08
0.371.6131665.048500e-08
0.3706611.6130424.915613e-08
0.3716121.6128654.724657e-08
0.3725651.6126884.533210e-08
0.373521.6125134.341273e-08
0.3744771.6123394.148844e-08
0.3754381.6121663.955922e-08
0.37641.6119933.762505e-08
0.3773651.6118223.568591e-08
0.3783331.6116523.374181e-08
0.3793031.6114833.179272e-08
0.381.6113623.039200e-08
0.3802751.6113143.006937e-08
0.381251.6111472.892714e-08
0.3822281.6109812.778198e-08
0.3832081.6108152.663389e-08
0.384191.6106512.548285e-08
0.3851761.6104872.432886e-08
0.3861631.6103242.317192e-08
0.3871531.6101632.201200e-08
0.3881461.6100022.084912e-08
0.3891411.6098421.968325e-08
0.391.6097051.867700e-08
0.3901391.6096831.859484e-08
0.3911391.6095251.800276e-08
0.3921421.6093681.740916e-08
0.3931471.6092121.681404e-08
0.3941551.6090561.621740e-08
0.3951661.6089021.561922e-08
0.3961791.6087481.501952e-08
0.3971951.6085951.441827e-08
0.3982131.6084431.381548e-08
0.3992341.6082921.321115e-08
0.41.608181.275800e-08
0.4002581.6081421.276623e-08
0.4012841.6079931.279897e-08
0.4023131.6078441.283179e-08
0.4033451.6076971.286470e-08
0.4043791.607551.289769e-08
0.4054161.6074041.293076e-08
0.4064551.6072581.296392e-08
0.4074971.6071141.299716e-08
0.4085421.606971.303049e-08
0.409591.6068281.306391e-08
0.410641.6066861.309741e-08
0.4116931.6065441.313099e-08
0.4127481.6064041.316467e-08
0.4138061.6062641.319843e-08
0.4148671.6061251.323227e-08
0.4159311.6059871.326620e-08
0.4169981.605851.330022e-08
0.4180671.6057131.333433e-08
0.4191391.6055771.336852e-08
0.421.6054691.339600e-08
0.4202131.6054421.336533e-08
0.4212911.6053081.321039e-08
0.4223711.6051741.305506e-08
0.4234541.6050411.289934e-08
0.424541.6049091.274321e-08
0.4256281.6047781.258668e-08
0.4267191.6046471.242975e-08
0.4278131.6045171.227242e-08
0.428911.6043881.211469e-08
0.430011.6042591.195655e-08
0.4311131.6041321.179801e-08
0.4322181.6040041.163906e-08
0.4333261.6038781.147970e-08
0.4344371.6037521.131993e-08
0.4355511.6036271.115975e-08
0.4366681.6035031.099917e-08
0.4377871.6033791.083817e-08
0.438911.6032561.067676e-08
0.441.6031371.052000e-08
0.4400351.6031331.052084e-08
0.4411631.6030121.054781e-08
0.4422951.602891.057484e-08
0.4434291.602771.060194e-08
0.4445661.602651.062912e-08
0.4457051.6025311.065636e-08
0.4468481.6024131.068367e-08
0.4479941.6022951.071105e-08
0.4491431.6021781.073851e-08
0.4502941.6020611.076603e-08
0.4514491.6019451.079362e-08
0.4526061.601831.082129e-08
0.4537671.6017151.084902e-08
0.454931.6016011.087683e-08
0.4560971.6014871.090471e-08
0.4572661.6013741.093266e-08
0.4584381.6012621.096068e-08
0.4596141.601151.098877e-08
0.461.6011141.099800e-08
0.4607921.6010391.086527e-08
0.4619741.6009291.066732e-08
0.4631581.6008191.046887e-08
0.4643461.6007091.026991e-08
0.4655361.60061.007043e-08
0.466731.6004929.870448e-09
0.4679271.6003859.669950e-09
0.4691261.6002779.468938e-09
0.4703291.6001719.267411e-09
0.4715351.6000659.065367e-09
0.4727441.599968.862805e-09
0.4739561.5998558.659724e-09
0.4751711.599758.456122e-09
0.476391.5996478.251998e-09
0.4776111.5995448.047350e-09
0.4788361.5994417.842178e-09
0.481.5993447.647100e-09
0.4800631.5993397.635481e-09
0.4812941.5992377.409850e-09
0.4825281.5991367.183642e-09
0.4837651.5990356.956853e-09
0.4850061.5989356.729483e-09
0.4862491.5988366.501530e-09
0.4874961.5987376.272992e-09
0.4887461.5986386.043868e-09
0.4899991.598545.814157e-09
0.4912551.5984435.583857e-09
0.4925151.5983465.352967e-09
0.4937781.598255.121484e-09
0.4950441.5981544.889408e-09
0.4963131.5980584.656737e-09
0.4975861.5979634.423470e-09
0.4988611.5978694.189604e-09
0.51.5977853.980900e-09
0.5001411.5977753.982019e-09
0.5014231.5976813.992229e-09
0.5027091.5975884.002465e-09
0.5039971.5974954.012728e-09
0.505291.5974034.023016e-09
0.5065851.5973124.033332e-09
0.5078841.597224.043673e-09
0.5091861.597134.054041e-09
0.5104921.5970394.064436e-09
0.5118011.596954.074857e-09
0.5131131.596864.085305e-09
0.5144291.5967714.095780e-09
0.5157481.5966834.106282e-09
0.517071.5965954.116810e-09
0.5183961.5965074.127366e-09
0.5197251.596424.137949e-09
0.5210571.5963334.148559e-09
0.5223931.5962474.159196e-09
0.5237331.5961614.169860e-09
0.5250761.5960764.180552e-09
0.5264221.5959914.191271e-09
0.5277721.5959064.202017e-09
0.5291251.5958224.212791e-09
0.5304811.5957384.223593e-09
0.5318421.5956554.234422e-09
0.5332051.5955724.245280e-09
0.5345721.595494.256165e-09
0.5359431.5954084.267077e-09
0.5373171.5953264.278018e-09
0.5386951.5952454.288987e-09
0.5400761.5951644.299984e-09
0.5414611.5950834.311010e-09
0.5428491.5950034.322063e-09
0.5442411.5949234.333145e-09
0.5456361.5948444.344255e-09
0.5470351.5947654.355394e-09
0.5484381.5946874.366562e-09
0.5498441.5946084.377758e-09
0.551.59464.379000e-09
0.5512541.5945314.388980e-09
0.5526671.5944534.400230e-09
0.5540841.5943764.411510e-09
0.5555051.5942994.422818e-09
0.5569291.5942234.434156e-09
0.5583571.5941474.445522e-09
0.5597891.5940724.456918e-09
0.5612241.5939964.468343e-09
0.5626631.5939214.479797e-09
0.5641061.5938474.491280e-09
0.5655521.5937734.502793e-09
0.5670021.5936994.514336e-09
0.5684561.5936254.525908e-09
0.5699131.5935524.537509e-09
0.5713741.593484.549141e-09
0.5728391.5934074.560802e-09
0.5743081.5933354.572493e-09
0.5757811.5932634.584214e-09
0.5772571.5931924.595966e-09
0.5787371.5931214.607747e-09
0.5802211.593054.619558e-09
0.5817091.592984.631400e-09
0.58321.5929094.643272e-09
0.5846951.592844.655175e-09
0.5861951.592774.667108e-09
0.5876971.5927014.679072e-09
0.5892041.5926324.691066e-09
0.5907151.5925644.703092e-09
0.592231.5924954.715148e-09
0.5937481.5924284.727235e-09
0.595271.592364.739352e-09
0.5967971.5922934.751501e-09
0.5983271.5922264.763682e-09
0.5998611.5921594.775893e-09
0.61.5921534.777000e-09
0.6013991.5920934.788138e-09
0.6029411.5920274.800416e-09
0.6044871.5919614.812724e-09
0.6060371.5918954.825064e-09
0.6075911.591834.837436e-09
0.6091481.5917654.849840e-09
0.610711.5917014.862275e-09
0.6122761.5916364.874742e-09
0.6138461.5915724.887241e-09
0.615421.5915094.899773e-09
0.6169981.5914454.912336e-09
0.618581.5913824.924932e-09
0.6201661.5913194.937560e-09
0.6217561.5912564.950220e-09
0.623351.5911944.962913e-09
0.6249481.5911324.975638e-09
0.6265511.591074.988396e-09
0.6281571.5910085.001186e-09
0.6297681.5909475.014010e-09
0.6313821.5908865.026866e-09
0.6330011.5908255.039755e-09
0.6346241.5907655.052677e-09
0.6362511.5907055.065633e-09
0.6378831.5906455.078621e-09
0.6395181.5905855.091643e-09
0.6411581.5905255.104699e-09
0.6428021.5904665.117788e-09
0.644451.5904075.130910e-09
0.6461021.5903485.144066e-09
0.6477591.590295.157256e-09
0.649421.5902325.170479e-09
0.651.5902115.175100e-09
0.6510851.5901745.183737e-09
0.6527541.5901165.197028e-09
0.6544281.5900585.210354e-09
0.6561061.5900015.223713e-09
0.6577881.5899445.237107e-09
0.6594741.5898875.250535e-09
0.6611651.589835.263998e-09
0.6628611.5897745.277495e-09
0.664561.5897185.291027e-09
0.6662641.5896625.304594e-09
0.6679721.5896065.318195e-09
0.6696851.5895515.331831e-09
0.6714021.5894955.345502e-09
0.6731231.589445.359209e-09
0.6748491.5893865.372950e-09
0.676581.5893315.386727e-09
0.6783141.5892775.400539e-09
0.6800531.5892225.414386e-09
0.6817971.5891685.428269e-09
0.6835451.5891155.442187e-09
0.6852981.5890615.456141e-09
0.6870551.5890085.470131e-09
0.6888161.5889555.484157e-09
0.6905831.5889025.498219e-09
0.6923531.5888495.512316e-09
0.6941281.5887965.526450e-09
0.6959081.5887445.540620e-09
0.6976921.5886925.554827e-09
0.6994811.588645.569070e-09
0.71.5886255.573200e-09
0.7012751.5885885.583349e-09
0.7030731.5885375.597665e-09
0.7048751.5884855.612018e-09
0.7066831.5884345.626407e-09
0.7084951.5883835.640834e-09
0.7103111.5883325.655297e-09
0.7121321.5882825.669798e-09
0.7139581.5882315.684336e-09
0.7157891.5881815.698911e-09
0.7176241.5881315.713523e-09
0.7194641.5880815.728173e-09
0.7213091.5880315.742860e-09
0.7231581.5879825.757585e-09
0.7250121.5879325.772348e-09
0.7268711.5878835.787148e-09
0.7287351.5878345.801987e-09
0.7306031.5877855.816864e-09
0.7324771.5877375.831778e-09
0.7343551.5876885.846731e-09
0.7362371.587645.861723e-09
0.7381251.5875925.876752e-09
0.7400181.5875445.891821e-09
0.7419151.5874965.906928e-09
0.7438171.5874485.922073e-09
0.7457241.58745.937258e-09
0.7476361.5873535.952481e-09
0.7495531.5873065.967744e-09
0.751.5872955.971300e-09
0.7514751.5872595.983043e-09
0.7534021.5872125.998380e-09
0.7553341.5871656.013756e-09
0.757271.5871186.029172e-09
0.7592121.5870726.044627e-09
0.7611591.5870266.060122e-09
0.763111.5869796.075656e-09
0.7650671.5869336.091231e-09
0.7670281.5868876.106845e-09
0.7689951.5868426.122500e-09
0.7709671.5867966.138194e-09
0.7729431.5867516.153929e-09
0.7749251.5867056.169704e-09
0.7769121.586666.185520e-09
0.7789041.5866156.201376e-09
0.781.586596.210100e-09
0.7809011.586576.217277e-09
0.7829031.5865256.233225e-09
0.7849111.5864816.249213e-09
0.7869231.5864366.265243e-09
0.7889411.5863926.281313e-09
0.7909641.5863476.297425e-09
0.7929921.5863036.313578e-09
0.7950251.5862596.329772e-09
0.7970631.5862156.346008e-09
0.7991071.5861726.362286e-09
0.81.5861536.369400e-09
0.8011561.5861286.378600e-09
0.803211.5860846.394951e-09
0.8052691.5860416.411343e-09
0.8073341.5859986.427778e-09
0.8094041.5859556.444255e-09
0.8114791.5859116.460775e-09
0.813561.5858686.477336e-09
0.8156461.5858266.493940e-09
0.8177371.5857836.510587e-09
0.8198341.585746.527276e-09
0.8219361.5856986.544008e-09
0.8240431.5856556.560783e-09
0.8261561.5856136.577602e-09
0.8282741.5855716.594463e-09
0.831.5855376.608200e-09
0.8303981.5855296.611369e-09
0.8325271.5854876.628327e-09
0.8346621.5854456.645329e-09
0.8368021.5854036.662375e-09
0.8389471.5853626.679464e-09
0.8410981.585326.696597e-09
0.8432551.5852796.713774e-09
0.8454171.5852376.730995e-09
0.8475841.5851966.748260e-09
0.8497581.5851556.765569e-09
0.851.585156.767500e-09
0.8519361.5851146.782917e-09
0.8541211.5850736.800309e-09
0.8563111.5850326.817745e-09
0.8585061.5849916.835226e-09
0.8607071.584956.852752e-09
0.8629141.5849096.870323e-09
0.8651271.5848696.887939e-09
0.8673451.5848286.905599e-09
0.8695691.5847886.923306e-09
0.8717981.5847486.941057e-09
0.8740331.5847076.958855e-09
0.8762741.5846676.976697e-09
0.8785211.5846276.994586e-09
0.8807741.5845877.012520e-09
0.8830321.5845477.030501e-09
0.8852961.5845077.048527e-09
0.8875661.5844687.066600e-09
0.8898421.5844287.084719e-09
0.8921231.5843887.102884e-09
0.8944111.5843497.121096e-09
0.8967041.5843097.139355e-09
0.8990031.584277.157661e-09
0.91.5842537.165600e-09
0.9013081.584237.176011e-09
0.9036191.5841917.194406e-09
0.9059361.5841527.212848e-09
0.9082581.5841137.231337e-09
0.9105871.5840747.249874e-09
0.9129221.5840357.268458e-09
0.9152631.5839967.287090e-09
0.9176091.5839577.305770e-09
0.9199621.5839187.324498e-09
0.9223211.5838797.343273e-09
0.9246861.583847.362097e-09
0.9270561.5838027.380969e-09
0.9294331.5837637.399890e-09
0.9318161.5837257.418859e-09
0.9342061.5836867.437876e-09
0.9366011.5836487.456943e-09
0.9390021.5836097.476058e-09
0.941411.5835717.495222e-09
0.9438241.5835327.514436e-09
0.9462441.5834947.533698e-09
0.948671.5834567.553010e-09
0.951.5834357.563600e-09
0.9511021.5834187.748017e-09
0.9535411.583388.156111e-09
0.9559851.5833428.565251e-09
0.9584371.5833048.975441e-09
0.9608941.5832669.386682e-09
0.9633581.5832289.798977e-09
0.9658281.583191.021233e-08
0.9683041.5831521.062674e-08
0.9707871.5831141.104222e-08
0.9732761.5830761.145876e-08
0.9757711.5830381.187636e-08
0.9782731.5830011.229504e-08
0.9807811.5829631.271480e-08
0.9832961.5829251.313562e-08
0.9858171.5828871.355753e-08
0.9883451.582851.398052e-08
0.9908791.5828121.440460e-08
0.9934191.5827751.482976e-08
0.9959671.5827371.525601e-08
0.998521.58271.568335e-08
11.5826781.593100e-08
1.001081.5826621.594822e-08
1.003651.5826251.598913e-08
1.006221.5825871.603015e-08
1.00881.582551.607128e-08
1.011391.5825121.611251e-08
1.013981.5824751.615384e-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
—