Optical constants

Refractive index of MP-PCD51-70 (HOYA)

MP-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

# MP-PCD51-70 (HOYA): MP-PCD51-70
hoya_mp_pcd51_70 = ls.fetch_refractiveindex("specs", "HOYA-optical", "MP-PCD51-70", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hoya_mp_pcd51_70.range_nm)  # (365.01, 1013.98) nm
eps = hoya_mp_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
MP-PCD51-70 (HOYA), MP-PCD51-70: n and k versus wavelength
λ (µm)nk
0.365011.6141281.288281e-07
0.3659461.6139441.214864e-07
0.3668841.6137621.141259e-07
0.3678251.613581.067466e-07
0.3687681.61349.934832e-08
0.3697131.613229.193109e-08
0.371.6131668.968300e-08
0.3706611.6130428.718081e-08
0.3716121.6128658.358521e-08
0.3725651.6126887.998038e-08
0.373521.6125137.636632e-08
0.3744771.6123397.274298e-08
0.3754381.6121666.911036e-08
0.37641.6119936.546842e-08
0.3773651.6118226.181715e-08
0.3783331.6116525.815651e-08
0.3793031.6114835.448649e-08
0.381.6113625.184900e-08
0.3802751.6113145.128008e-08
0.381251.6111474.926590e-08
0.3822281.6109814.724655e-08
0.3832081.6108154.522202e-08
0.384191.6106514.319231e-08
0.3851761.6104874.115739e-08
0.3861631.6103243.911725e-08
0.3871531.6101633.707188e-08
0.3881461.6100023.502127e-08
0.3891411.6098423.296540e-08
0.391.6097053.119100e-08
0.3901391.6096833.106842e-08
0.3911391.6095253.018505e-08
0.3921421.6093682.929942e-08
0.3931471.6092122.841152e-08
0.3941551.6090562.752134e-08
0.3951661.6089022.662888e-08
0.3961791.6087482.573412e-08
0.3971951.6085952.483708e-08
0.3982131.6084432.393774e-08
0.3992341.6082922.303608e-08
0.41.608182.236000e-08
0.4002581.6081422.233102e-08
0.4012841.6079932.221577e-08
0.4023131.6078442.210023e-08
0.4033451.6076972.198439e-08
0.4043791.607552.186825e-08
0.4054161.6074042.175182e-08
0.4064551.6072582.163509e-08
0.4074971.6071142.151806e-08
0.4085421.606972.140072e-08
0.409591.6068282.128309e-08
0.410641.6066862.116516e-08
0.4116931.6065442.104692e-08
0.4127481.6064042.092838e-08
0.4138061.6062642.080954e-08
0.4148671.6061252.069039e-08
0.4159311.6059872.057093e-08
0.4169981.605852.045117e-08
0.4180671.6057132.033110e-08
0.4191391.6055772.021073e-08
0.421.6054692.011400e-08
0.4202131.6054422.008666e-08
0.4212911.6053081.994859e-08
0.4223711.6051741.981017e-08
0.4234541.6050411.967139e-08
0.424541.6049091.953225e-08
0.4256281.6047781.939276e-08
0.4267191.6046471.925291e-08
0.4278131.6045171.911270e-08
0.428911.6043881.897214e-08
0.430011.6042591.883121e-08
0.4311131.6041321.868992e-08
0.4322181.6040041.854827e-08
0.4333261.6038781.840625e-08
0.4344371.6037521.826387e-08
0.4355511.6036271.812113e-08
0.4366681.6035031.797802e-08
0.4377871.6033791.783454e-08
0.438911.6032561.769070e-08
0.441.6031371.755100e-08
0.4400351.6031331.753945e-08
0.4411631.6030121.716979e-08
0.4422951.602891.679917e-08
0.4434291.602771.642761e-08
0.4445661.602651.605509e-08
0.4457051.6025311.568162e-08
0.4468481.6024131.530719e-08
0.4479941.6022951.493180e-08
0.4491431.6021781.455544e-08
0.4502941.6020611.417813e-08
0.4514491.6019451.379984e-08
0.4526061.601831.342059e-08
0.4537671.6017151.304036e-08
0.454931.6016011.265916e-08
0.4560971.6014871.227698e-08
0.4572661.6013741.189382e-08
0.4584381.6012621.150968e-08
0.4596141.601151.112455e-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
0.7012751.5885885.735745e-09
0.7030731.5885375.965024e-09
0.7048751.5884856.194892e-09
0.7066831.5884346.425348e-09
0.7084951.5883836.656396e-09
0.7103111.5883326.888036e-09
0.7121321.5882827.120270e-09
0.7139581.5882317.353100e-09
0.7157891.5881817.586526e-09
0.7176241.5881317.820551e-09
0.7194641.5880818.055176e-09
0.7213091.5880318.290402e-09
0.7231581.5879828.526232e-09
0.7250121.5879328.762666e-09
0.7268711.5878838.999707e-09
0.7287351.5878349.237355e-09
0.7306031.5877859.475612e-09
0.7324771.5877379.714481e-09
0.7343551.5876889.953962e-09
0.7362371.587641.019406e-08
0.7381251.5875921.043477e-08
0.7400181.5875441.067610e-08
0.7419151.5874961.091804e-08
0.7438171.5874481.116061e-08
0.7457241.58741.140380e-08
0.7476361.5873531.164761e-08
0.7495531.5873061.189205e-08
0.751.5872951.194900e-08
0.7514751.5872591.197250e-08
0.7534021.5872121.200320e-08
0.7553341.5871651.203398e-08
0.757271.5871181.206484e-08
0.7592121.5870721.209578e-08
0.7611591.5870261.212679e-08
0.763111.5869791.215789e-08
0.7650671.5869331.218906e-08
0.7670281.5868871.222032e-08
0.7689951.5868421.225165e-08
0.7709671.5867961.228307e-08
0.7729431.5867511.231456e-08
0.7749251.5867051.234614e-08
0.7769121.586661.237780e-08
0.7789041.5866151.240954e-08
0.781.586591.242700e-08
0.7809011.586571.244133e-08
0.7829031.5865251.247316e-08
0.7849111.5864811.250508e-08
0.7869231.5864361.253708e-08
0.7889411.5863921.256916e-08
0.7909641.5863471.260132e-08
0.7929921.5863031.263357e-08
0.7950251.5862591.266589e-08
0.7970631.5862151.269830e-08
0.7991071.5861721.273080e-08
0.81.5861531.274500e-08
0.8011561.5861281.250858e-08
0.803211.5860841.208839e-08
0.8052691.5860411.166712e-08
0.8073341.5859981.124477e-08
0.8094041.5859551.082133e-08
0.8114791.5859111.039681e-08
0.813561.5858689.971202e-09
0.8156461.5858269.544502e-09
0.8177371.5857839.116708e-09
0.8198341.585748.687817e-09
0.8219361.5856988.257826e-09
0.8240431.5856557.826733e-09
0.8261561.5856137.394535e-09
0.8282741.5855716.961228e-09
0.831.5855376.608200e-09
0.8303981.5855296.746139e-09
0.8325271.5854877.484281e-09
0.8346621.5854458.224316e-09
0.8368021.5854038.966248e-09
0.8389471.5853629.710083e-09
0.8410981.585321.045582e-08
0.8432551.5852791.120348e-08
0.8454171.5852371.195305e-08
0.8475841.5851961.270454e-08
0.8497581.5851551.345796e-08
0.851.585151.354200e-08
0.8519361.5851141.329506e-08
0.8541211.5850731.301650e-08
0.8563111.5850321.273722e-08
0.8585061.5849911.245722e-08
0.8607071.584951.217651e-08
0.8629141.5849091.189508e-08
0.8651271.5848691.161293e-08
0.8673451.5848281.133005e-08
0.8695691.5847881.104645e-08
0.8717981.5847481.076212e-08
0.8740331.5847071.047706e-08
0.8762741.5846671.019127e-08
0.8785211.5846279.904748e-09
0.8807741.5845879.617491e-09
0.8830321.5845479.329498e-09
0.8852961.5845079.040766e-09
0.8875661.5844688.751294e-09
0.8898421.5844288.461080e-09
0.8921231.5843888.170122e-09
0.8944111.5843497.878417e-09
0.8967041.5843097.585965e-09
0.8990031.584277.292763e-09
0.91.5842537.165600e-09
0.9013081.584237.374060e-09
0.9036191.5841917.742393e-09
0.9059361.5841528.111671e-09
0.9082581.5841138.481896e-09
0.9105871.5840748.853070e-09
0.9129221.5840359.225196e-09
0.9152631.5839969.598276e-09
0.9176091.5839579.972312e-09
0.9199621.5839181.034731e-08
0.9223211.5838791.072326e-08
0.9246861.583841.110018e-08
0.9270561.5838021.147807e-08
0.9294331.5837631.185693e-08
0.9318161.5837251.223676e-08
0.9342061.5836861.261756e-08
0.9366011.5836481.299933e-08
0.9390021.5836091.338209e-08
0.941411.5835711.376583e-08
0.9438241.5835321.415055e-08
0.9462441.5834941.453626e-08
0.948671.5834561.492296e-08
0.951.5834351.513500e-08
0.9511021.5834181.515254e-08
0.9535411.583381.519137e-08
0.9559851.5833421.523029e-08
0.9584371.5833041.526931e-08
0.9608941.5832661.530843e-08
0.9633581.5832281.534765e-08
0.9658281.583191.538698e-08
0.9683041.5831521.542640e-08
0.9707871.5831141.546592e-08
0.9732761.5830761.550555e-08
0.9757711.5830381.554528e-08
0.9782731.5830011.558511e-08
0.9807811.5829631.562504e-08
0.9832961.5829251.566507e-08
0.9858171.5828871.570521e-08
0.9883451.582851.574545e-08
0.9908791.5828121.578579e-08
0.9934191.5827751.582624e-08
0.9959671.5827371.586679e-08
0.998521.58271.590744e-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
—