Optical constants

Refractive index of MC-FDS910-50 (HOYA)

MC-FDS910-50: 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. Note: k data cover 370-1550 nm only; k = 0 elsewhere in the n range 365.01-1013.98 nm.

At one wavelength

Range 0.365–1.014 µm
Refractive index n
1.82165
Extinction coefficient k
3.61311e-08
Permittivity ε1
3.3184
Permittivity ε2
1.31636e-07
Absorption coefficient α
0.00772697 cm⁻¹
Penetration depth δ = λ/(2πk)
2.58834e+09 nm
Abbe number Vd
24.04
Chromatic dispersion dn/dλ
-0.170452 µm⁻¹
Group index ng
1.92181
Group velocity dispersion
355.529 fs²/mm
Dispersion parameter D
-1939.6 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-FDS910-50 (HOYA): MC-FDS910-50
mat = ls.fetch_refractiveindex("specs", "HOYA-optical", "MC-FDS910-50", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mat.range_nm)  # (365.01, 1013.98) nm
eps = mat.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=3.1667902−0.013141416⁢λ2.0+0.047178656⁢λ−2.0+0.0022684284⁢λ−4.0−5.3672387×10-5⁢λ−6.0+2.5328422×10-5⁢λ−8.0

Valid from 0.36501 to 1.01398 µm.

Coefficients as stored
CiValue
C13.1667902
C2-0.013141416
C32.0
C40.047178656
C5-2.0
C60.0022684284
C7-4.0
C8-5.3672387e-05
C9-6.0
C102.5328422e-05
C11-8.0

Comments and conditions

Preforms for Precision molding

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -2.8056e-06 0.0 0.0 0.0 0.0 0.0
nd
1.82165
Vd
24.04
glass code
822240
glass status
standard
density
value: 3690
thermal expansion
value: 9.5e-06, temperature range: 243 343; value: 1.21e-05, temperature range: 293 573
dPgF
0.0187
resistance
acid: 1.0; stain: 1.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -1.77e-06 K⁻¹ at 633 nm
Notes on the source data (kept exactly as published):
  • k data cover 370-1550 nm only; k = 0 elsewhere in the n range 365.01-1013.98 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-FDS910-50 (HOYA), MC-FDS910-50: n and k versus wavelength
λ (µm)nk
0.365011.9247410
0.3659461.9235970
0.3668841.9224650
0.3678251.9213450
0.3687681.9202370
0.3697131.9191420
0.371.9188121.236500e-05
0.3706611.9180571.186514e-05
0.3716121.9169851.114686e-05
0.3725651.9159231.042673e-05
0.373521.9148739.704761e-06
0.3744771.9138348.980937e-06
0.3754381.9128068.255257e-06
0.37641.9117887.527717e-06
0.3773651.9107816.798311e-06
0.3783331.9097846.067035e-06
0.3793031.9087985.333884e-06
0.381.9080974.807000e-06
0.3802751.9078224.728718e-06
0.381251.9068564.451570e-06
0.3822281.90594.173712e-06
0.3832081.9049533.895141e-06
0.384191.9040163.615856e-06
0.3851761.9030883.335855e-06
0.3861631.902173.055136e-06
0.3871531.9012612.773698e-06
0.3881461.9003612.491537e-06
0.3891411.899472.208654e-06
0.391.898711.964500e-06
0.3901391.8985881.950715e-06
0.3911391.8977141.851373e-06
0.3921421.8968491.751776e-06
0.3931471.8959931.651924e-06
0.3941551.8951451.551816e-06
0.3951661.8943051.451451e-06
0.3961791.8934731.350829e-06
0.3971951.8926491.249948e-06
0.3982131.8918331.148810e-06
0.3992341.8910251.047411e-06
0.41.8904269.713800e-07
0.4002581.8902259.641153e-07
0.4012841.8894329.352233e-07
0.4023131.8886479.062573e-07
0.4033451.8878698.772170e-07
0.4043791.8870988.481022e-07
0.4054161.8863358.189128e-07
0.4064551.8855797.896485e-07
0.4074971.8848297.603092e-07
0.4085421.8840877.308947e-07
0.409591.8833527.014047e-07
0.410641.8826236.718392e-07
0.4116931.8819016.421978e-07
0.4127481.8811866.124804e-07
0.4138061.8804775.826869e-07
0.4148671.8797745.528169e-07
0.4159311.8790785.228704e-07
0.4169981.8783884.928471e-07
0.4180671.8777044.627468e-07
0.4191391.8770264.325693e-07
0.421.8764874.083200e-07
0.4202131.8763554.066751e-07
0.4212911.8756893.983672e-07
0.4223711.8750293.900379e-07
0.4234541.8743753.816874e-07
0.424541.8737273.733154e-07
0.4256281.8730843.649219e-07
0.4267191.8724473.565069e-07
0.4278131.8718163.480703e-07
0.428911.871193.396121e-07
0.430011.8705693.311323e-07
0.4311131.8699533.226306e-07
0.4322181.8693433.141072e-07
0.4333261.8687383.055619e-07
0.4344371.8681392.969948e-07
0.4355511.8675442.884056e-07
0.4366681.8669542.797944e-07
0.4377871.866372.711612e-07
0.438911.865792.625058e-07
0.441.8652332.541000e-07
0.4400351.8652152.539695e-07
0.4411631.8646442.497928e-07
0.4422951.8640792.456054e-07
0.4434291.8635182.414072e-07
0.4445661.8629622.371982e-07
0.4457051.862412.329785e-07
0.4468481.8618632.287480e-07
0.4479941.861322.245066e-07
0.4491431.8607822.202543e-07
0.4502941.8602482.159911e-07
0.4514491.8597182.117170e-07
0.4526061.8591932.074319e-07
0.4537671.8586722.031359e-07
0.454931.8581551.988288e-07
0.4560971.8576421.945107e-07
0.4572661.8571331.901815e-07
0.4584381.8566291.858413e-07
0.4596141.8561281.814899e-07
0.461.8559641.800600e-07
0.4607921.8556311.783184e-07
0.4619741.8551381.757209e-07
0.4631581.8546491.731168e-07
0.4643461.8541631.705061e-07
0.4655361.8536821.678886e-07
0.466731.8532041.652644e-07
0.4679271.852731.626335e-07
0.4691261.8522591.599959e-07
0.4703291.8517931.573515e-07
0.4715351.8513291.547003e-07
0.4727441.8508691.520423e-07
0.4739561.8504131.493775e-07
0.4751711.849961.467059e-07
0.476391.8495111.440274e-07
0.4776111.8490651.413420e-07
0.4788361.8486221.386498e-07
0.481.8482051.360900e-07
0.4800631.8481831.359780e-07
0.4812941.8477471.338024e-07
0.4825281.8473141.316213e-07
0.4837651.8468841.294345e-07
0.4850061.8464581.272422e-07
0.4862491.8460351.250443e-07
0.4874961.8456141.228407e-07
0.4887461.8451971.206314e-07
0.4899991.8447831.184165e-07
0.4912551.8443721.161959e-07
0.4925151.8439641.139697e-07
0.4937781.8435591.117377e-07
0.4950441.8431571.095000e-07
0.4963131.8427581.072565e-07
0.4975861.8423611.050073e-07
0.4988611.8419681.027524e-07
0.51.841621.007400e-07
0.5001411.8415771.005805e-07
0.5014231.8411899.912498e-08
0.5027091.8408049.766573e-08
0.5039971.8404219.620275e-08
0.505291.8400429.473601e-08
0.5065851.8396659.326551e-08
0.5078841.839299.179125e-08
0.5091861.8389189.031320e-08
0.5104921.8385498.883136e-08
0.5118011.8381838.734573e-08
0.5131131.8378198.585628e-08
0.5144291.8374578.436302e-08
0.5157481.8370988.286593e-08
0.517071.8367428.136499e-08
0.5183961.8363887.986021e-08
0.5197251.8360367.835158e-08
0.5210571.8356877.683907e-08
0.5223931.835347.532269e-08
0.5237331.8349957.380242e-08
0.5250761.8346537.227825e-08
0.5264221.8343147.075017e-08
0.5277721.8339766.921817e-08
0.5291251.8336416.768225e-08
0.5304811.8333086.614239e-08
0.5318421.8329776.459858e-08
0.5332051.8326496.305081e-08
0.5345721.8323226.149907e-08
0.5359431.8319985.994336e-08
0.5373171.8316765.838365e-08
0.5386951.8313575.681995e-08
0.5400761.8310395.525224e-08
0.5414611.8307235.368051e-08
0.5428491.830415.210474e-08
0.5442411.8300985.052494e-08
0.5456361.8297894.894109e-08
0.5470351.8294824.735318e-08
0.5484381.8291764.576119e-08
0.5498441.8288734.416512e-08
0.551.8288394.398800e-08
0.5512541.8285714.372602e-08
0.5526671.8282724.343068e-08
0.5540841.8279744.313458e-08
0.5555051.8276794.283772e-08
0.5569291.8273854.254010e-08
0.5583571.8270934.224171e-08
0.5597891.8268044.194256e-08
0.5612241.8265164.164265e-08
0.5626631.8262294.134196e-08
0.5641061.8259454.104051e-08
0.5655521.8256624.073828e-08
0.5670021.8253824.043527e-08
0.5684561.8251034.013149e-08
0.5699131.8248253.982693e-08
0.5713741.824553.952159e-08
0.5728391.8242763.921547e-08
0.5743081.8240043.890856e-08
0.5757811.8237343.860087e-08
0.5772571.8234653.829238e-08
0.5787371.8231983.798311e-08
0.5802211.8229333.767304e-08
0.5817091.8226693.736218e-08
0.58321.8224073.705052e-08
0.5846951.8221473.673806e-08
0.5861951.8218883.642480e-08
0.5876971.8216313.611073e-08
0.5892041.8213763.579586e-08
0.5907151.8211223.548019e-08
0.592231.8208693.516370e-08
0.5937481.8206183.484641e-08
0.595271.8203693.452829e-08
0.5967971.8201213.420937e-08
0.5983271.8198753.388963e-08
0.5998611.819633.356906e-08
0.61.8196083.354000e-08
0.6013991.8193863.376403e-08
0.6029411.8191443.401096e-08
0.6044871.8189043.425852e-08
0.6060371.8186653.450672e-08
0.6075911.8184273.475556e-08
0.6091481.8181913.500503e-08
0.610711.8179573.525514e-08
0.6122761.8177233.550589e-08
0.6138461.8174913.575729e-08
0.615421.8172613.600933e-08
0.6169981.8170323.626202e-08
0.618581.8168043.651536e-08
0.6201661.8165773.676934e-08
0.6217561.8163523.702398e-08
0.623351.8161283.727927e-08
0.6249481.8159063.753521e-08
0.6265511.8156853.779181e-08
0.6281571.8154653.804907e-08
0.6297681.8152463.830698e-08
0.6313821.8150293.856556e-08
0.6330011.8148133.882480e-08
0.6346241.8145983.908471e-08
0.6362511.8143843.934528e-08
0.6378831.8141723.960652e-08
0.6395181.8139613.986843e-08
0.6411581.8137514.013102e-08
0.6428021.8135424.039427e-08
0.644451.8133354.065820e-08
0.6461021.8131284.092281e-08
0.6477591.8129234.118809e-08
0.649421.8127194.145406e-08
0.651.8126484.154700e-08
0.6510851.8125174.137292e-08
0.6527541.8123154.110502e-08
0.6544281.8121144.083644e-08
0.6561061.8119154.056716e-08
0.6577881.8117174.029720e-08
0.6594741.811524.002654e-08
0.6611651.8113243.975519e-08
0.6628611.8111293.948314e-08
0.664561.8109353.921040e-08
0.6662641.8107423.893696e-08
0.6679721.8105513.866281e-08
0.6696851.810363.838796e-08
0.6714021.810173.811241e-08
0.6731231.8099823.783615e-08
0.6748491.8097953.755919e-08
0.676581.8096083.728151e-08
0.6783141.8094233.700312e-08
0.6800531.8092383.672402e-08
0.6817971.8090553.644420e-08
0.6835451.8088733.616366e-08
0.6852981.8086913.588241e-08
0.6870551.8085113.560043e-08
0.6888161.8083323.531773e-08
0.6905831.8081533.503431e-08
0.6923531.8079763.475016e-08
0.6941281.8077993.446528e-08
0.6959081.8076243.417967e-08
0.6976921.8074493.389333e-08
0.6994811.8072763.360625e-08
0.71.8072263.352300e-08
0.7012751.8071033.327821e-08
0.7030731.8069313.293291e-08
0.7048751.8067613.258673e-08
0.7066831.8065913.223966e-08
0.7084951.8064223.189170e-08
0.7103111.8062543.154285e-08
0.7121321.8060863.119310e-08
0.7139581.805923.084246e-08
0.7157891.8057543.049092e-08
0.7176241.805593.013847e-08
0.7194641.8054262.978513e-08
0.7213091.8052632.943087e-08
0.7231581.8051012.907571e-08
0.7250121.804942.871964e-08
0.7268711.804782.836266e-08
0.7287351.804622.800476e-08
0.7306031.8044622.764594e-08
0.7324771.8043042.728620e-08
0.7343551.8041472.692554e-08
0.7362371.8039912.656396e-08
0.7381251.8038352.620145e-08
0.7400181.8036812.583800e-08
0.7419151.8035272.547363e-08
0.7438171.8033742.510832e-08
0.7457241.8032222.474208e-08
0.7476361.803072.437490e-08
0.7495531.8029192.400677e-08
0.751.8028842.392100e-08
0.7514751.8027692.335580e-08
0.7534021.802622.261760e-08
0.7553341.8024722.187750e-08
0.757271.8023242.113551e-08
0.7592121.8021772.039161e-08
0.7611591.8020311.964580e-08
0.763111.8018851.889808e-08
0.7650671.8017411.814845e-08
0.7670281.8015971.739689e-08
0.7689951.8014531.664341e-08
0.7709671.8013111.588799e-08
0.7729431.8011691.513064e-08
0.7749251.8010281.437135e-08
0.7769121.8008871.361011e-08
0.7789041.8007471.284691e-08
0.781.8006711.242700e-08
0.7809011.8006081.272886e-08
0.7829031.800471.339960e-08
0.7849111.8003321.407206e-08
0.7869231.8001951.474624e-08
0.7889411.8000581.542215e-08
0.7909641.7999231.609980e-08
0.7929921.7997871.677918e-08
0.7950251.7996531.746030e-08
0.7970631.7995191.814317e-08
0.7991071.7993861.882779e-08
0.81.7993281.912700e-08
0.8011561.7992531.864472e-08
0.803211.7991211.778754e-08
0.8052691.798991.692817e-08
0.8073341.7988591.606659e-08
0.8094041.7987291.520280e-08
0.8114791.79861.433680e-08
0.813561.7984711.346858e-08
0.8156461.7983421.259813e-08
0.8177371.7982151.172544e-08
0.8198341.7980881.085053e-08
0.8219361.7979619.973365e-09
0.8240431.7978359.093954e-09
0.8261561.797718.212288e-09
0.8282741.7975857.328362e-09
0.831.7974846.608200e-09
0.8303981.7974616.746139e-09
0.8325271.7973377.484281e-09
0.8346621.7972148.224316e-09
0.8368021.7970928.966248e-09
0.8389471.796979.710083e-09
0.8410981.7968481.045582e-08
0.8432551.7967281.120348e-08
0.8454171.7966071.195305e-08
0.8475841.7964871.270454e-08
0.8497581.7963681.345796e-08
0.851.7963551.354200e-08
0.8519361.7962491.357283e-08
0.8541211.7961311.360760e-08
0.8563111.7960141.364247e-08
0.8585061.7958961.367742e-08
0.8607071.795781.371246e-08
0.8629141.7956641.374759e-08
0.8651271.7955481.378282e-08
0.8673451.7954331.381813e-08
0.8695691.7953181.385353e-08
0.8717981.7952041.388903e-08
0.8740331.795091.392461e-08
0.8762741.7949771.396029e-08
0.8785211.7948651.399606e-08
0.8807741.7947521.403192e-08
0.8830321.7946411.406787e-08
0.8852961.7945291.410391e-08
0.8875661.7944181.414005e-08
0.8898421.7943081.417628e-08
0.8921231.7941981.421260e-08
0.8944111.7940891.424902e-08
0.8967041.793981.428552e-08
0.8990031.7938711.432213e-08
0.91.7938241.433800e-08
0.9013081.7937631.435885e-08
0.9036191.7936561.439568e-08
0.9059361.7935481.443261e-08
0.9082581.7934421.446964e-08
0.9105871.7933351.450676e-08
0.9129221.7932291.454398e-08
0.9152631.7931241.458129e-08
0.9176091.7930191.461869e-08
0.9199621.7929141.465619e-08
0.9223211.792811.469379e-08
0.9246861.7927061.473149e-08
0.9270561.7926031.476928e-08
0.9294331.79251.480717e-08
0.9318161.7923971.484515e-08
0.9342061.7922951.488324e-08
0.9366011.7921931.492142e-08
0.9390021.7920911.495970e-08
0.941411.791991.499807e-08
0.9438241.791891.503655e-08
0.9462441.7917891.507512e-08
0.948671.7916891.511379e-08
0.951.7916351.513500e-08
0.9511021.791591.515254e-08
0.9535411.7914911.519137e-08
0.9559851.7913921.523029e-08
0.9584371.7912931.526931e-08
0.9608941.7911951.530843e-08
0.9633581.7910981.534765e-08
0.9658281.7911.538698e-08
0.9683041.7909031.542640e-08
0.9707871.7908071.546592e-08
0.9732761.790711.550555e-08
0.9757711.7906141.554528e-08
0.9782731.7905191.558511e-08
0.9807811.7904231.562504e-08
0.9832961.7903281.566507e-08
0.9858171.7902341.570521e-08
0.9883451.7901391.574545e-08
0.9908791.7900451.578579e-08
0.9934191.7899521.582624e-08
0.9959671.7898581.586679e-08
0.998521.7897651.590744e-08
11.7897121.593100e-08
1.001081.7896731.594822e-08
1.003651.789581.598913e-08
1.006221.7894881.603015e-08
1.00881.7893961.607128e-08
1.011391.7893051.611251e-08
1.013981.7892131.615384e-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
—