Optical constants

Refractive index of MP-FDS910-50 (HOYA)

MP-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
3.11017e-08
Permittivity ε1
3.3184
Permittivity ε2
1.13313e-07
Absorption coefficient α
0.00665138 cm⁻¹
Penetration depth δ = λ/(2πk)
3.00689e+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

# MP-FDS910-50 (HOYA): MP-FDS910-50
mat = ls.fetch_refractiveindex("specs", "HOYA-optical", "MP-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
MP-FDS910-50 (HOYA), MP-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
0.371.9188121.166900e-05
0.3706611.9180571.127667e-05
0.3716121.9169851.071289e-05
0.3725651.9159231.014767e-05
0.373521.9148739.581004e-06
0.3744771.9138349.012882e-06
0.3754381.9128068.443303e-06
0.37641.9117887.872264e-06
0.3773651.9107817.299760e-06
0.3783331.9097846.725789e-06
0.3793031.9087986.150346e-06
0.381.9080975.736800e-06
0.3802751.9078225.658851e-06
0.381251.9068565.382883e-06
0.3822281.90595.106208e-06
0.3832081.9049534.828823e-06
0.384191.9040164.550727e-06
0.3851761.9030884.271918e-06
0.3861631.902173.992394e-06
0.3871531.9012613.712153e-06
0.3881461.9003613.431194e-06
0.3891411.899473.149514e-06
0.391.898712.906400e-06
0.3901391.8985882.888923e-06
0.3911391.8977142.762975e-06
0.3921421.8968492.636704e-06
0.3931471.8959932.510109e-06
0.3941551.8951452.383189e-06
0.3951661.8943052.255945e-06
0.3961791.8934732.128374e-06
0.3971951.8926492.000475e-06
0.3982131.8918331.872249e-06
0.3992341.8910251.743694e-06
0.41.8904261.647300e-06
0.4002581.8902251.635939e-06
0.4012841.8894321.590757e-06
0.4023131.8886471.545458e-06
0.4033451.8878691.500043e-06
0.4043791.8870981.454512e-06
0.4054161.8863351.408864e-06
0.4064551.8855791.363100e-06
0.4074971.8848291.317217e-06
0.4085421.8840871.271218e-06
0.409591.8833521.225100e-06
0.410641.8826231.178864e-06
0.4116931.8819011.132509e-06
0.4127481.8811861.086036e-06
0.4138061.8804771.039443e-06
0.4148671.8797749.927312e-07
0.4159311.8790789.458994e-07
0.4169981.8783888.989475e-07
0.4180671.8777048.518752e-07
0.4191391.8770268.046823e-07
0.421.8764877.667600e-07
0.4202131.8763557.634833e-07
0.4212911.8756897.469337e-07
0.4223711.8750297.303417e-07
0.4234541.8743757.137071e-07
0.424541.8737276.970299e-07
0.4256281.8730846.803099e-07
0.4267191.8724476.635470e-07
0.4278131.8718166.467412e-07
0.428911.871196.298923e-07
0.430011.8705696.130001e-07
0.4311131.8699535.960647e-07
0.4322181.8693435.790858e-07
0.4333261.8687385.620634e-07
0.4344371.8681395.449974e-07
0.4355511.8675445.278876e-07
0.4366681.8669545.107339e-07
0.4377871.866374.935363e-07
0.438911.865794.762946e-07
0.441.8652334.595500e-07
0.4400351.8652154.592921e-07
0.4411631.8646444.510356e-07
0.4422951.8640794.427580e-07
0.4434291.8635184.344592e-07
0.4445661.8629624.261391e-07
0.4457051.862414.177977e-07
0.4468481.8618634.094349e-07
0.4479941.861324.010506e-07
0.4491431.8607823.926448e-07
0.4502941.8602483.842175e-07
0.4514491.8597183.757686e-07
0.4526061.8591933.672980e-07
0.4537671.8586723.588057e-07
0.454931.8581553.502916e-07
0.4560971.8576423.417557e-07
0.4572661.8571333.331980e-07
0.4584381.8566293.246182e-07
0.4596141.8561283.160165e-07
0.461.8559643.131900e-07
0.4607921.8556313.095039e-07
0.4619741.8551383.040066e-07
0.4631581.8546492.984952e-07
0.4643461.8541632.929696e-07
0.4655361.8536822.874299e-07
0.466731.8532042.818760e-07
0.4679271.852732.763079e-07
0.4691261.8522592.707254e-07
0.4703291.8517932.651287e-07
0.4715351.8513292.595176e-07
0.4727441.8508692.538921e-07
0.4739561.8504132.482522e-07
0.4751711.849962.425979e-07
0.476391.8495112.369290e-07
0.4776111.8490652.312456e-07
0.4788361.8486222.255476e-07
0.481.8482052.201300e-07
0.4800631.8481832.199209e-07
0.4812941.8477472.158596e-07
0.4825281.8473142.117880e-07
0.4837651.8468842.077059e-07
0.4850061.8464582.036133e-07
0.4862491.8460351.995102e-07
0.4874961.8456141.953967e-07
0.4887461.8451971.912725e-07
0.4899991.8447831.871378e-07
0.4912551.8443721.829925e-07
0.4925151.8439641.788366e-07
0.4937781.8435591.746700e-07
0.4950441.8431571.704928e-07
0.4963131.8427581.663048e-07
0.4975861.8423611.621061e-07
0.4988611.8419681.578966e-07
0.51.841621.541400e-07
0.5001411.8415771.538553e-07
0.5014231.8411891.512572e-07
0.5027091.8408041.486525e-07
0.5039971.8404211.460411e-07
0.505291.8400421.434230e-07
0.5065851.8396651.407982e-07
0.5078841.839291.381667e-07
0.5091861.8389181.355284e-07
0.5104921.8385491.328834e-07
0.5118011.8381831.302315e-07
0.5131131.8378191.275729e-07
0.5144291.8374571.249075e-07
0.5157481.8370981.222352e-07
0.517071.8367421.195561e-07
0.5183961.8363881.168701e-07
0.5197251.8360361.141772e-07
0.5210571.8356871.114774e-07
0.5223931.835341.087707e-07
0.5237331.8349951.060570e-07
0.5250761.8346531.033364e-07
0.5264221.8343141.006088e-07
0.5277721.8339769.787427e-08
0.5291251.8336419.513268e-08
0.5304811.8333089.238406e-08
0.5318421.8329778.962840e-08
0.5332051.8326498.686567e-08
0.5345721.8323228.409586e-08
0.5359431.8319988.131894e-08
0.5373171.8316767.853491e-08
0.5386951.8313577.574373e-08
0.5400761.8310397.294540e-08
0.5414611.8307237.013990e-08
0.5428491.830416.732720e-08
0.5442411.8300986.450729e-08
0.5456361.8297896.168015e-08
0.5470351.8294825.884576e-08
0.5484381.8291765.600410e-08
0.5498441.8288735.315516e-08
0.551.8288395.283900e-08
0.5512541.8285715.211419e-08
0.5526671.8282725.129708e-08
0.5540841.8279745.047787e-08
0.5555051.8276794.965656e-08
0.5569291.8273854.883315e-08
0.5583571.8270934.800762e-08
0.5597891.8268044.717998e-08
0.5612241.8265164.635022e-08
0.5626631.8262294.551833e-08
0.5641061.8259454.468430e-08
0.5655521.8256624.384814e-08
0.5670021.8253824.300983e-08
0.5684561.8251034.216938e-08
0.5699131.8248254.132677e-08
0.5713741.824554.048199e-08
0.5728391.8242763.963506e-08
0.5743081.8240043.878595e-08
0.5757811.8237343.793466e-08
0.5772571.8234653.708119e-08
0.5787371.8231983.622554e-08
0.5802211.8229333.536769e-08
0.5817091.8226693.450764e-08
0.58321.8224073.364538e-08
0.5846951.8221473.278091e-08
0.5861951.8218883.191423e-08
0.5876971.8216313.104533e-08
0.5892041.8213763.017419e-08
0.5907151.8211222.930083e-08
0.592231.8208692.842522e-08
0.5937481.8206182.754737e-08
0.595271.8203692.666727e-08
0.5967971.8201212.578491e-08
0.5983271.8198752.490029e-08
0.5998611.819632.401340e-08
0.61.8196082.393300e-08
0.6013991.8193862.398882e-08
0.6029411.8191442.405034e-08
0.6044871.8189042.411202e-08
0.6060371.8186652.417387e-08
0.6075911.8184272.423586e-08
0.6091481.8181912.429802e-08
0.610711.8179572.436034e-08
0.6122761.8177232.442282e-08
0.6138461.8174912.448545e-08
0.615421.8172612.454825e-08
0.6169981.8170322.461121e-08
0.618581.8168042.467433e-08
0.6201661.8165772.473761e-08
0.6217561.8163522.480106e-08
0.623351.8161282.486466e-08
0.6249481.8159062.492843e-08
0.6265511.8156852.499237e-08
0.6281571.8154652.505647e-08
0.6297681.8152462.512073e-08
0.6313821.8150292.518515e-08
0.6330011.8148132.524975e-08
0.6346241.8145982.531450e-08
0.6362511.8143842.537943e-08
0.6378831.8141722.544452e-08
0.6395181.8139612.550977e-08
0.6411581.8137512.557520e-08
0.6428021.8135422.564079e-08
0.644451.8133352.570655e-08
0.6461021.8131282.577248e-08
0.6477591.8129232.583858e-08
0.649421.8127192.590484e-08
0.651.8126482.592800e-08
0.6510851.8125172.572858e-08
0.6527541.8123152.542169e-08
0.6544281.8121142.511401e-08
0.6561061.8119152.480554e-08
0.6577881.8117172.449627e-08
0.6594741.811522.418622e-08
0.6611651.8113242.387537e-08
0.6628611.8111292.356372e-08
0.664561.8109352.325128e-08
0.6662641.8107422.293803e-08
0.6679721.8105512.262398e-08
0.6696851.810362.230912e-08
0.6714021.810172.199346e-08
0.6731231.8099822.167699e-08
0.6748491.8097952.135971e-08
0.676581.8096082.104161e-08
0.6783141.8094232.072270e-08
0.6800531.8092382.040297e-08
0.6817971.8090552.008242e-08
0.6835451.8088731.976105e-08
0.6852981.8086911.943885e-08
0.6870551.8085111.911583e-08
0.6888161.8083321.879198e-08
0.6905831.8081531.846730e-08
0.6923531.8079761.814179e-08
0.6941281.8077991.781544e-08
0.6959081.8076241.748825e-08
0.6976921.8074491.716023e-08
0.6994811.8072761.683137e-08
0.71.8072261.673600e-08
0.7012751.8071031.661396e-08
0.7030731.8069311.644182e-08
0.7048751.8067611.626923e-08
0.7066831.8065911.609620e-08
0.7084951.8064221.592273e-08
0.7103111.8062541.574881e-08
0.7121321.8060861.557445e-08
0.7139581.805921.539964e-08
0.7157891.8057541.522438e-08
0.7176241.805591.504867e-08
0.7194641.8054261.487251e-08
0.7213091.8052631.469590e-08
0.7231581.8051011.451884e-08
0.7250121.804941.434132e-08
0.7268711.804781.416335e-08
0.7287351.804621.398492e-08
0.7306031.8044621.380604e-08
0.7324771.8043041.362669e-08
0.7343551.8041471.344689e-08
0.7362371.8039911.326662e-08
0.7381251.8038351.308590e-08
0.7400181.8036811.290471e-08
0.7419151.8035271.272305e-08
0.7438171.8033741.254093e-08
0.7457241.8032221.235834e-08
0.7476361.803071.217529e-08
0.7495531.8029191.199176e-08
0.751.8028841.194900e-08
0.7514751.8027691.197250e-08
0.7534021.802621.200320e-08
0.7553341.8024721.203398e-08
0.757271.8023241.206484e-08
0.7592121.8021771.209578e-08
0.7611591.8020311.212679e-08
0.763111.8018851.215789e-08
0.7650671.8017411.218906e-08
0.7670281.8015971.222032e-08
0.7689951.8014531.225165e-08
0.7709671.8013111.228307e-08
0.7729431.8011691.231456e-08
0.7749251.8010281.234614e-08
0.7769121.8008871.237780e-08
0.7789041.8007471.240954e-08
0.781.8006711.242700e-08
0.7809011.8006081.215408e-08
0.7829031.800471.154765e-08
0.7849111.8003321.093967e-08
0.7869231.8001951.033013e-08
0.7889411.8000589.719023e-09
0.7909641.7999239.106352e-09
0.7929921.7997878.492110e-09
0.7950251.7996537.876293e-09
0.7970631.7995197.258897e-09
0.7991071.7993866.639918e-09
0.81.7993286.369400e-09
0.8011561.7992536.378600e-09
0.803211.7991216.394951e-09
0.8052691.798996.411343e-09
0.8073341.7988596.427778e-09
0.8094041.7987296.444255e-09
0.8114791.79866.460775e-09
0.813561.7984716.477336e-09
0.8156461.7983426.493940e-09
0.8177371.7982156.510587e-09
0.8198341.7980886.527276e-09
0.8219361.7979616.544008e-09
0.8240431.7978356.560783e-09
0.8261561.797716.577602e-09
0.8282741.7975856.594463e-09
0.831.7974846.608200e-09
0.8303981.7974616.611369e-09
0.8325271.7973376.628327e-09
0.8346621.7972146.645329e-09
0.8368021.7970926.662375e-09
0.8389471.796976.679464e-09
0.8410981.7968486.696597e-09
0.8432551.7967286.713774e-09
0.8454171.7966076.730995e-09
0.8475841.7964876.748260e-09
0.8497581.7963686.765569e-09
0.851.7963556.767500e-09
0.8519361.7962496.782917e-09
0.8541211.7961316.800309e-09
0.8563111.7960146.817745e-09
0.8585061.7958966.835226e-09
0.8607071.795786.852752e-09
0.8629141.7956646.870323e-09
0.8651271.7955486.887939e-09
0.8673451.7954336.905599e-09
0.8695691.7953186.923306e-09
0.8717981.7952046.941057e-09
0.8740331.795096.958855e-09
0.8762741.7949776.976697e-09
0.8785211.7948656.994586e-09
0.8807741.7947527.012520e-09
0.8830321.7946417.030501e-09
0.8852961.7945297.048527e-09
0.8875661.7944187.066600e-09
0.8898421.7943087.084719e-09
0.8921231.7941987.102884e-09
0.8944111.7940897.121096e-09
0.8967041.793987.139355e-09
0.8990031.7938717.157661e-09
0.91.7938247.165600e-09
0.9013081.7937637.176011e-09
0.9036191.7936567.194406e-09
0.9059361.7935487.212848e-09
0.9082581.7934427.231337e-09
0.9105871.7933357.249874e-09
0.9129221.7932297.268458e-09
0.9152631.7931247.287090e-09
0.9176091.7930197.305770e-09
0.9199621.7929147.324498e-09
0.9223211.792817.343273e-09
0.9246861.7927067.362097e-09
0.9270561.7926037.380969e-09
0.9294331.79257.399890e-09
0.9318161.7923977.418859e-09
0.9342061.7922957.437876e-09
0.9366011.7921937.456943e-09
0.9390021.7920917.476058e-09
0.941411.791997.495222e-09
0.9438241.791897.514436e-09
0.9462441.7917897.533698e-09
0.948671.7916897.553010e-09
0.951.7916357.563600e-09
0.9511021.791597.572374e-09
0.9535411.7914917.591790e-09
0.9559851.7913927.611256e-09
0.9584371.7912937.630772e-09
0.9608941.7911957.650338e-09
0.9633581.7910987.669954e-09
0.9658281.7917.689620e-09
0.9683041.7909037.709337e-09
0.9707871.7908077.729104e-09
0.9732761.790717.748922e-09
0.9757711.7906147.768791e-09
0.9782731.7905197.788710e-09
0.9807811.7904237.808681e-09
0.9832961.7903287.828703e-09
0.9858171.7902347.848776e-09
0.9883451.7901397.868901e-09
0.9908791.7900457.889077e-09
0.9934191.7899527.909306e-09
0.9959671.7898587.929586e-09
0.998521.7897657.949918e-09
11.7897127.961700e-09
1.001081.7896737.970302e-09
1.003651.789587.990738e-09
1.006221.7894888.011227e-09
1.00881.7893968.031768e-09
1.011391.7893058.052362e-09
1.013981.7892138.073009e-09

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
—