Optical constants

Refractive index of M-FDS910 (HOYA)

M-FDS910: 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
1.82114
Extinction coefficient k
3.11017e-08
Permittivity ε1
3.31655
Permittivity ε2
1.13281e-07
Absorption coefficient α
0.00665138 cm⁻¹
Penetration depth δ = λ/(2πk)
3.00689e+09 nm
Abbe number Vd
24.058
Chromatic dispersion dn/dλ
-0.170222 µm⁻¹
Group index ng
1.92116
Group velocity dispersion
355.127 fs²/mm
Dispersion parameter D
-1937.41 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

# M-FDS910 (HOYA): M-FDS910
hoya_m_fds910 = ls.fetch_refractiveindex("specs", "HOYA-optical", "M-FDS910", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hoya_m_fds910.range_nm)  # (365.01, 1013.98) nm
eps = hoya_m_fds910.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=3.165987−0.01349196⁢λ2.0+0.04649918⁢λ−2.0+0.002471413⁢λ−4.0−8.659596×10-5⁢λ−6.0+2.725927×10-5⁢λ−8.0

Valid from 0.36501 to 1.01398 µm.

Coefficients as stored
CiValue
C13.165987
C2-0.01349196
C32.0
C40.04649918
C5-2.0
C60.002471413
C7-4.0
C8-8.659596e-05
C9-6.0
C102.725927e-05
C11-8.0

Comments and conditions

Glass for molded optics lens

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -2.80707e-06 0.0 0.0 0.0 0.0 0.0
nd
1.82115
Vd
24.06
glass code
821241
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
M-FDS910 (HOYA), M-FDS910: n and k versus wavelength
λ (µm)nk
0.365011.9241420
0.3659461.9229960
0.3668841.9218630
0.3678251.9207430
0.3687681.9196340
0.3697131.9185370
0.371.9182081.166900e-05
0.3706611.9174531.127667e-05
0.3716121.9163791.071289e-05
0.3725651.9153171.014767e-05
0.373521.9142679.581004e-06
0.3744771.9132279.012882e-06
0.3754381.9121998.443303e-06
0.37641.9111817.872264e-06
0.3773651.9101747.299760e-06
0.3783331.9091776.725789e-06
0.3793031.9081916.150346e-06
0.381.907495.736800e-06
0.3802751.9072155.658851e-06
0.381251.9062485.382883e-06
0.3822281.9052925.106208e-06
0.3832081.9043464.828823e-06
0.384191.9034094.550727e-06
0.3851761.9024814.271918e-06
0.3861631.9015633.992394e-06
0.3871531.9006553.712153e-06
0.3881461.8997553.431194e-06
0.3891411.8988643.149514e-06
0.391.8981052.906400e-06
0.3901391.8979822.888923e-06
0.3911391.8971092.762975e-06
0.3921421.8962452.636704e-06
0.3931471.8953892.510109e-06
0.3941551.8945412.383189e-06
0.3951661.8937022.255945e-06
0.3961791.8928712.128374e-06
0.3971951.8920472.000475e-06
0.3982131.8912321.872249e-06
0.3992341.8904251.743694e-06
0.41.8898261.647300e-06
0.4002581.8896251.635939e-06
0.4012841.8888331.590757e-06
0.4023131.8880481.545458e-06
0.4033451.8872711.500043e-06
0.4043791.8865011.454512e-06
0.4054161.8857381.408864e-06
0.4064551.8849831.363100e-06
0.4074971.8842341.317217e-06
0.4085421.8834931.271218e-06
0.409591.8827581.225100e-06
0.410641.882031.178864e-06
0.4116931.8813091.132509e-06
0.4127481.8805941.086036e-06
0.4138061.8798861.039443e-06
0.4148671.8791849.927312e-07
0.4159311.8784899.458994e-07
0.4169981.87788.989475e-07
0.4180671.8771178.518752e-07
0.4191391.876448.046823e-07
0.421.8759027.667600e-07
0.4202131.8757697.634833e-07
0.4212911.8751047.469337e-07
0.4223711.8744457.303417e-07
0.4234541.8737927.137071e-07
0.424541.8731456.970299e-07
0.4256281.8725036.803099e-07
0.4267191.8718676.635470e-07
0.4278131.8712366.467412e-07
0.428911.8706116.298923e-07
0.430011.8699916.130001e-07
0.4311131.8693765.960647e-07
0.4322181.8687675.790858e-07
0.4333261.8681635.620634e-07
0.4344371.8675645.449974e-07
0.4355511.866975.278876e-07
0.4366681.8663815.107339e-07
0.4377871.8657974.935363e-07
0.438911.8652184.762946e-07
0.441.8646624.595500e-07
0.4400351.8646444.592921e-07
0.4411631.8640754.510356e-07
0.4422951.863514.427580e-07
0.4434291.862954.344592e-07
0.4445661.8623954.261391e-07
0.4457051.8618444.177977e-07
0.4468481.8612974.094349e-07
0.4479941.8607564.010506e-07
0.4491431.8602183.926448e-07
0.4502941.8596853.842175e-07
0.4514491.8591563.757686e-07
0.4526061.8586313.672980e-07
0.4537671.8581113.588057e-07
0.454931.8575953.502916e-07
0.4560971.8570833.417557e-07
0.4572661.8565753.331980e-07
0.4584381.8560713.246182e-07
0.4596141.8555713.160165e-07
0.461.8554073.131900e-07
0.4607921.8550743.095039e-07
0.4619741.8545823.040066e-07
0.4631581.8540942.984952e-07
0.4643461.8536092.929696e-07
0.4655361.8531282.874299e-07
0.466731.8526512.818760e-07
0.4679271.8521782.763079e-07
0.4691261.8517082.707254e-07
0.4703291.8512422.651287e-07
0.4715351.8507792.595176e-07
0.4727441.850322.538921e-07
0.4739561.8498652.482522e-07
0.4751711.8494122.425979e-07
0.476391.8489642.369290e-07
0.4776111.8485182.312456e-07
0.4788361.8480762.255476e-07
0.481.847662.201300e-07
0.4800631.8476372.199209e-07
0.4812941.8472022.158596e-07
0.4825281.846772.117880e-07
0.4837651.8463412.077059e-07
0.4850061.8459152.036133e-07
0.4862491.8454921.995102e-07
0.4874961.8450731.953967e-07
0.4887461.8446561.912725e-07
0.4899991.8442431.871378e-07
0.4912551.8438321.829925e-07
0.4925151.8434251.788366e-07
0.4937781.843021.746700e-07
0.4950441.8426191.704928e-07
0.4963131.842221.663048e-07
0.4975861.8418241.621061e-07
0.4988611.8414311.578966e-07
0.51.8410841.541400e-07
0.5001411.8410411.538553e-07
0.5014231.8406541.512572e-07
0.5027091.8402691.486525e-07
0.5039971.8398871.460411e-07
0.505291.8395081.434230e-07
0.5065851.8391311.407982e-07
0.5078841.8387581.381667e-07
0.5091861.8383861.355284e-07
0.5104921.8380181.328834e-07
0.5118011.8376521.302315e-07
0.5131131.8372881.275729e-07
0.5144291.8369271.249075e-07
0.5157481.8365691.222352e-07
0.517071.8362121.195561e-07
0.5183961.8358591.168701e-07
0.5197251.8355081.141772e-07
0.5210571.8351591.114774e-07
0.5223931.8348131.087707e-07
0.5237331.8344691.060570e-07
0.5250761.8341271.033364e-07
0.5264221.8337881.006088e-07
0.5277721.8334519.787427e-08
0.5291251.8331169.513268e-08
0.5304811.8327839.238406e-08
0.5318421.8324538.962840e-08
0.5332051.8321258.686567e-08
0.5345721.8317998.409586e-08
0.5359431.8314768.131894e-08
0.5373171.8311547.853491e-08
0.5386951.8308357.574373e-08
0.5400761.8305177.294540e-08
0.5414611.8302027.013990e-08
0.5428491.8298896.732720e-08
0.5442411.8295786.450729e-08
0.5456361.8292696.168015e-08
0.5470351.8289625.884576e-08
0.5484381.8286575.600410e-08
0.5498441.8283545.315516e-08
0.551.8283215.283900e-08
0.5512541.8280535.211419e-08
0.5526671.8277545.129708e-08
0.5540841.8274575.047787e-08
0.5555051.8271624.965656e-08
0.5569291.8268694.883315e-08
0.5583571.8265774.800762e-08
0.5597891.8262884.717998e-08
0.5612241.8264.635022e-08
0.5626631.8257144.551833e-08
0.5641061.825434.468430e-08
0.5655521.8251484.384814e-08
0.5670021.8248684.300983e-08
0.5684561.8245894.216938e-08
0.5699131.8243124.132677e-08
0.5713741.8240374.048199e-08
0.5728391.8237643.963506e-08
0.5743081.8234923.878595e-08
0.5757811.8232223.793466e-08
0.5772571.8229543.708119e-08
0.5787371.8226873.622554e-08
0.5802211.8224233.536769e-08
0.5817091.8221593.450764e-08
0.58321.8218983.364538e-08
0.5846951.8216383.278091e-08
0.5861951.8213793.191423e-08
0.5876971.8211223.104533e-08
0.5892041.8208673.017419e-08
0.5907151.8206132.930083e-08
0.592231.8203612.842522e-08
0.5937481.8201112.754737e-08
0.595271.8198622.666727e-08
0.5967971.8196142.578491e-08
0.5983271.8193682.490029e-08
0.5998611.8191242.401340e-08
0.61.8191022.393300e-08
0.6013991.8188812.398882e-08
0.6029411.8186392.405034e-08
0.6044871.8183992.411202e-08
0.6060371.818162.417387e-08
0.6075911.8179232.423586e-08
0.6091481.8176872.429802e-08
0.610711.8174532.436034e-08
0.6122761.817222.442282e-08
0.6138461.8169882.448545e-08
0.615421.8167582.454825e-08
0.6169981.8165292.461121e-08
0.618581.8163022.467433e-08
0.6201661.8160752.473761e-08
0.6217561.8158512.480106e-08
0.623351.8156272.486466e-08
0.6249481.8154052.492843e-08
0.6265511.8151842.499237e-08
0.6281571.8149642.505647e-08
0.6297681.8147462.512073e-08
0.6313821.8145292.518515e-08
0.6330011.8143132.524975e-08
0.6346241.8140992.531450e-08
0.6362511.8138862.537943e-08
0.6378831.8136742.544452e-08
0.6395181.8134632.550977e-08
0.6411581.8132532.557520e-08
0.6428021.8130452.564079e-08
0.644451.8128382.570655e-08
0.6461021.8126322.577248e-08
0.6477591.8124272.583858e-08
0.649421.8122232.590484e-08
0.651.8121522.592800e-08
0.6510851.8120212.572858e-08
0.6527541.8118192.542169e-08
0.6544281.8116192.511401e-08
0.6561061.811422.480554e-08
0.6577881.8112222.449627e-08
0.6594741.8110252.418622e-08
0.6611651.810832.387537e-08
0.6628611.8106352.356372e-08
0.664561.8104412.325128e-08
0.6662641.8102492.293803e-08
0.6679721.8100582.262398e-08
0.6696851.8098672.230912e-08
0.6714021.8096782.199346e-08
0.6731231.809492.167699e-08
0.6748491.8093032.135971e-08
0.676581.8091172.104161e-08
0.6783141.8089322.072270e-08
0.6800531.8087482.040297e-08
0.6817971.8085642.008242e-08
0.6835451.8083821.976105e-08
0.6852981.8082011.943885e-08
0.6870551.8080211.911583e-08
0.6888161.8078421.879198e-08
0.6905831.8076641.846730e-08
0.6923531.8074871.814179e-08
0.6941281.8073111.781544e-08
0.6959081.8071361.748825e-08
0.6976921.8069611.716023e-08
0.6994811.8067881.683137e-08
0.71.8067381.673600e-08
0.7012751.8066161.661396e-08
0.7030731.8064441.644182e-08
0.7048751.8062741.626923e-08
0.7066831.8061041.609620e-08
0.7084951.8059351.592273e-08
0.7103111.8057671.574881e-08
0.7121321.80561.557445e-08
0.7139581.8054341.539964e-08
0.7157891.8052691.522438e-08
0.7176241.8051051.504867e-08
0.7194641.8049411.487251e-08
0.7213091.8047791.469590e-08
0.7231581.8046171.451884e-08
0.7250121.8044561.434132e-08
0.7268711.8042961.416335e-08
0.7287351.8041371.398492e-08
0.7306031.8039791.380604e-08
0.7324771.8038211.362669e-08
0.7343551.8036641.344689e-08
0.7362371.8035081.326662e-08
0.7381251.8033531.308590e-08
0.7400181.8031991.290471e-08
0.7419151.8030451.272305e-08
0.7438171.8028921.254093e-08
0.7457241.802741.235834e-08
0.7476361.8025891.217529e-08
0.7495531.8024391.199176e-08
0.751.8024041.194900e-08
0.7514751.8022891.197250e-08
0.7534021.802141.200320e-08
0.7553341.8019921.203398e-08
0.757271.8018441.206484e-08
0.7592121.8016981.209578e-08
0.7611591.8015521.212679e-08
0.763111.8014071.215789e-08
0.7650671.8012621.218906e-08
0.7670281.8011181.222032e-08
0.7689951.8009751.225165e-08
0.7709671.8008331.228307e-08
0.7729431.8006911.231456e-08
0.7749251.800551.234614e-08
0.7769121.800411.237780e-08
0.7789041.800271.240954e-08
0.781.8001941.242700e-08
0.7809011.8001311.215408e-08
0.7829031.7999931.154765e-08
0.7849111.7998561.093967e-08
0.7869231.7997191.033013e-08
0.7889411.7995829.719023e-09
0.7909641.7994479.106352e-09
0.7929921.7993128.492110e-09
0.7950251.7991787.876293e-09
0.7970631.7990447.258897e-09
0.7991071.7989116.639918e-09
0.81.7988536.369400e-09
0.8011561.7987796.378600e-09
0.803211.7986476.394951e-09
0.8052691.7985166.411343e-09
0.8073341.7983856.427778e-09
0.8094041.7982556.444255e-09
0.8114791.7981266.460775e-09
0.813561.7979976.477336e-09
0.8156461.7978696.493940e-09
0.8177371.7977426.510587e-09
0.8198341.7976156.527276e-09
0.8219361.7974896.544008e-09
0.8240431.7973636.560783e-09
0.8261561.7972386.577602e-09
0.8282741.7971136.594463e-09
0.831.7970126.608200e-09
0.8303981.7969896.611369e-09
0.8325271.7968666.628327e-09
0.8346621.7967436.645329e-09
0.8368021.7966216.662375e-09
0.8389471.7964996.679464e-09
0.8410981.7963786.696597e-09
0.8432551.7962576.713774e-09
0.8454171.7961376.730995e-09
0.8475841.7960176.748260e-09
0.8497581.7958986.765569e-09
0.851.7958856.767500e-09
0.8519361.795786.782917e-09
0.8541211.7956626.800309e-09
0.8563111.7955446.817745e-09
0.8585061.7954276.835226e-09
0.8607071.7953116.852752e-09
0.8629141.7951956.870323e-09
0.8651271.7950796.887939e-09
0.8673451.7949646.905599e-09
0.8695691.794856.923306e-09
0.8717981.7947366.941057e-09
0.8740331.7946226.958855e-09
0.8762741.7945096.976697e-09
0.8785211.7943976.994586e-09
0.8807741.7942847.012520e-09
0.8830321.7941737.030501e-09
0.8852961.7940627.048527e-09
0.8875661.7939517.066600e-09
0.8898421.7938417.084719e-09
0.8921231.7937317.102884e-09
0.8944111.7936227.121096e-09
0.8967041.7935137.139355e-09
0.8990031.7934057.157661e-09
0.91.7933587.165600e-09
0.9013081.7932977.176011e-09
0.9036191.7931897.194406e-09
0.9059361.7930827.212848e-09
0.9082581.7929757.231337e-09
0.9105871.7928697.249874e-09
0.9129221.7927637.268458e-09
0.9152631.7926587.287090e-09
0.9176091.7925537.305770e-09
0.9199621.7924487.324498e-09
0.9223211.7923447.343273e-09
0.9246861.792247.362097e-09
0.9270561.7921377.380969e-09
0.9294331.7920347.399890e-09
0.9318161.7919327.418859e-09
0.9342061.791837.437876e-09
0.9366011.7917287.456943e-09
0.9390021.7916267.476058e-09
0.941411.7915257.495222e-09
0.9438241.7914257.514436e-09
0.9462441.7913257.533698e-09
0.948671.7912257.553010e-09
0.951.791177.563600e-09
0.9511021.7911257.572374e-09
0.9535411.7910267.591790e-09
0.9559851.7909277.611256e-09
0.9584371.7908297.630772e-09
0.9608941.7907317.650338e-09
0.9633581.7906337.669954e-09
0.9658281.7905367.689620e-09
0.9683041.7904397.709337e-09
0.9707871.7903427.729104e-09
0.9732761.7902467.748922e-09
0.9757711.790157.768791e-09
0.9782731.7900547.788710e-09
0.9807811.7899597.808681e-09
0.9832961.7898647.828703e-09
0.9858171.7897697.848776e-09
0.9883451.7896757.868901e-09
0.9908791.7895817.889077e-09
0.9934191.7894877.909306e-09
0.9959671.7893947.929586e-09
0.998521.7893017.949918e-09
11.7892477.961700e-09
1.001081.7892087.970302e-09
1.003651.7891167.990738e-09
1.006221.7890248.011227e-09
1.00881.7889328.031768e-09
1.011391.788848.052362e-09
1.013981.7887498.073009e-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
—