Optical constants

Refractive index of MP-FCD1-M20 (HOYA)

MP-FCD1-M20: 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
1.4969
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.2407
Permittivity ε2
1.40059e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
81.522
Chromatic dispersion dn/dλ
-0.0315538 µm⁻¹
Group index ng
1.51544
Group velocity dispersion
55.1246 fs²/mm
Dispersion parameter D
-300.734 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-FCD1-M20 (HOYA): MP-FCD1-M20
hoya_mp_fcd1_m20 = ls.fetch_refractiveindex("specs", "HOYA-optical", "MP-FCD1-M20", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hoya_mp_fcd1_m20.range_nm)  # (365.01, 1013.98) nm
eps = hoya_mp_fcd1_m20.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=2.2209418−0.0074830372⁢λ2.0+0.0062463392⁢λ−2.0+0.00071157759⁢λ−4.0−8.2274254×10-5⁢λ−6.0+4.0430546×10-6⁢λ−8.0

Valid from 0.36501 to 1.01398 µm.

Coefficients as stored
CiValue
C12.2209418
C2-0.0074830372
C32.0
C40.0062463392
C5-2.0
C60.00071157759
C7-4.0
C8-8.2274254e-05
C9-6.0
C104.0430546e-06
C11-8.0

Comments and conditions

Preforms for Precision molding

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -1.75e-05 -5.28e-09 2.39e-11 3.52e-07 1.97e-10 0.186
nd
1.49690
Vd
81.53
glass code
497815
glass status
standard
density
value: 3640
thermal expansion
value: 1.29e-05, temperature range: 243 343; value: 1.63e-05, temperature range: 293 573
dPgF
0.0346
resistance
acid: 3.0; stain: 4.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -6.84e-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-FCD1-M20 (HOYA), MP-FCD1-M20: n and k versus wavelength
λ (µm)nk
0.365011.5116081.333893e-07
0.3659461.5114811.240547e-07
0.3668841.5113551.146961e-07
0.3678251.511231.053136e-07
0.3687681.5111069.590704e-08
0.3697131.5109838.647635e-08
0.371.5109458.361800e-08
0.3706611.510868.070478e-08
0.3716121.5107387.651852e-08
0.3725651.5106177.232153e-08
0.373521.5104976.811378e-08
0.3744771.5103776.389524e-08
0.3754381.5102595.966589e-08
0.37641.5101415.542569e-08
0.3773651.5100235.117462e-08
0.3783331.5099074.691264e-08
0.3793031.5097914.263975e-08
0.381.5097083.956900e-08
0.3802751.5096763.907967e-08
0.381251.5095613.734727e-08
0.3822281.5094473.561042e-08
0.3832081.5093343.386912e-08
0.384191.5092223.212336e-08
0.3851761.509113.037312e-08
0.3861631.5089992.861839e-08
0.3871531.5088892.685916e-08
0.3881461.5087792.509542e-08
0.3891411.508672.332716e-08
0.391.5085762.180100e-08
0.3901391.5085612.167548e-08
0.3911391.5084532.077090e-08
0.3921421.5083461.986401e-08
0.3931471.5082391.895479e-08
0.3941551.5081331.804324e-08
0.3951661.5080281.712936e-08
0.3961791.5079231.621313e-08
0.3971951.5078191.529455e-08
0.3982131.5077151.437361e-08
0.3992341.5076121.345032e-08
0.41.5075351.275800e-08
0.4002581.507511.280954e-08
0.4012841.5074081.301454e-08
0.4023131.5073061.322006e-08
0.4033451.5072061.342610e-08
0.4043791.5071051.363268e-08
0.4054161.5070061.383978e-08
0.4064551.5069071.404741e-08
0.4074971.5068081.425558e-08
0.4085421.506711.446428e-08
0.409591.5066131.467352e-08
0.410641.5065161.488329e-08
0.4116931.5064191.509360e-08
0.4127481.5063231.530445e-08
0.4138061.5062281.551584e-08
0.4148671.5061331.572777e-08
0.4159311.5060391.594025e-08
0.4169981.5059451.615327e-08
0.4180671.5058521.636683e-08
0.4191391.5057591.658095e-08
0.421.5056851.675300e-08
0.4202131.5056661.672400e-08
0.4212911.5055751.657753e-08
0.4223711.5054831.643068e-08
0.4234541.5053921.628345e-08
0.424541.5053021.613585e-08
0.4256281.5052121.598786e-08
0.4267191.5051231.583950e-08
0.4278131.5050341.569076e-08
0.428911.5049451.554164e-08
0.430011.5048571.539213e-08
0.4311131.504771.524224e-08
0.4322181.5046831.509197e-08
0.4333261.5045961.494131e-08
0.4344371.504511.479026e-08
0.4355511.5044241.463883e-08
0.4366681.5043391.448701e-08
0.4377871.5042541.433480e-08
0.438911.504171.418220e-08
0.441.5040881.403400e-08
0.4400351.5040861.402865e-08
0.4411631.5040021.385738e-08
0.4422951.5039191.368568e-08
0.4434291.5038371.351353e-08
0.4445661.5037541.334095e-08
0.4457051.5036731.316792e-08
0.4468481.5035911.299444e-08
0.4479941.503511.282053e-08
0.4491431.503431.264616e-08
0.4502941.503351.247135e-08
0.4514491.503271.229609e-08
0.4526061.5031911.212038e-08
0.4537671.5031121.194422e-08
0.454931.5030341.176761e-08
0.4560971.5029551.159055e-08
0.4572661.5028781.141303e-08
0.4584381.5028011.123506e-08
0.4596141.5027241.105663e-08
0.461.5026991.099800e-08
0.4607921.5026471.086527e-08
0.4619741.5025711.066732e-08
0.4631581.5024961.046887e-08
0.4643461.502421.026991e-08
0.4655361.5023451.007043e-08
0.466731.5022719.870448e-09
0.4679271.5021979.669950e-09
0.4691261.5021239.468938e-09
0.4703291.502059.267411e-09
0.4715351.5019779.065367e-09
0.4727441.5019048.862805e-09
0.4739561.5018328.659724e-09
0.4751711.501768.456122e-09
0.476391.5016888.251998e-09
0.4776111.5016178.047350e-09
0.4788361.5015467.842178e-09
0.481.501487.647100e-09
0.4800631.5014767.635481e-09
0.4812941.5014067.409850e-09
0.4825281.5013367.183642e-09
0.4837651.5012676.956853e-09
0.4850061.5011986.729483e-09
0.4862491.5011296.501530e-09
0.4874961.5010616.272992e-09
0.4887461.5009936.043868e-09
0.4899991.5009255.814157e-09
0.4912551.5008585.583857e-09
0.4925151.5007915.352967e-09
0.4937781.5007255.121484e-09
0.4950441.5006584.889408e-09
0.4963131.5005924.656737e-09
0.4975861.5005274.423470e-09
0.4988611.5004614.189604e-09
0.51.5004043.980900e-09
0.5001411.5003973.982019e-09
0.5014231.5003323.992229e-09
0.5027091.5002684.002465e-09
0.5039971.5002044.012728e-09
0.505291.500144.023016e-09
0.5065851.5000774.033332e-09
0.5078841.5000144.043673e-09
0.5091861.4999514.054041e-09
0.5104921.4998894.064436e-09
0.5118011.4998274.074857e-09
0.5131131.4997654.085305e-09
0.5144291.4997044.095780e-09
0.5157481.4996424.106282e-09
0.517071.4995824.116810e-09
0.5183961.4995214.127366e-09
0.5197251.4994614.137949e-09
0.5210571.4994014.148559e-09
0.5223931.4993414.159196e-09
0.5237331.4992824.169860e-09
0.5250761.4992234.180552e-09
0.5264221.4991644.191271e-09
0.5277721.4991064.202017e-09
0.5291251.4990484.212791e-09
0.5304811.498994.223593e-09
0.5318421.4989324.234422e-09
0.5332051.4988754.245280e-09
0.5345721.4988184.256165e-09
0.5359431.4987614.267077e-09
0.5373171.4987054.278018e-09
0.5386951.4986494.288987e-09
0.5400761.4985934.299984e-09
0.5414611.4985374.311010e-09
0.5428491.4984824.322063e-09
0.5442411.4984274.333145e-09
0.5456361.4983724.344255e-09
0.5470351.4983184.355394e-09
0.5484381.4982644.366562e-09
0.5498441.498214.377758e-09
0.551.4982044.379000e-09
0.5512541.4981564.388980e-09
0.5526671.4981024.400230e-09
0.5540841.4980494.411510e-09
0.5555051.4979964.422818e-09
0.5569291.4979444.434156e-09
0.5583571.4978914.445522e-09
0.5597891.4978394.456918e-09
0.5612241.4977874.468343e-09
0.5626631.4977364.479797e-09
0.5641061.4976844.491280e-09
0.5655521.4976334.502793e-09
0.5670021.4975824.514336e-09
0.5684561.4975324.525908e-09
0.5699131.4974814.537509e-09
0.5713741.4974314.549141e-09
0.5728391.4973814.560802e-09
0.5743081.4973314.572493e-09
0.5757811.4972824.584214e-09
0.5772571.4972334.595966e-09
0.5787371.4971844.607747e-09
0.5802211.4971354.619558e-09
0.5817091.4970874.631400e-09
0.58321.4970384.643272e-09
0.5846951.496994.655175e-09
0.5861951.4969434.667108e-09
0.5876971.4968954.679072e-09
0.5892041.4968484.691066e-09
0.5907151.49684.703092e-09
0.592231.4967544.715148e-09
0.5937481.4967074.727235e-09
0.595271.496664.739352e-09
0.5967971.4966144.751501e-09
0.5983271.4965684.763682e-09
0.5998611.4965224.775893e-09
0.61.4965184.777000e-09
0.6013991.4964774.933066e-09
0.6029411.4964315.105088e-09
0.6044871.4963865.277551e-09
0.6060371.4963415.450456e-09
0.6075911.4962965.623805e-09
0.6091481.4962525.797598e-09
0.610711.4962085.971836e-09
0.6122761.4961636.146521e-09
0.6138461.496126.321655e-09
0.615421.4960766.497237e-09
0.6169981.4960326.673269e-09
0.618581.4959896.849753e-09
0.6201661.4959467.026689e-09
0.6217561.4959037.204079e-09
0.623351.495867.381923e-09
0.6249481.4958187.560224e-09
0.6265511.4957757.738982e-09
0.6281571.4957337.918198e-09
0.6297681.4956918.097874e-09
0.6313821.4956498.278010e-09
0.6330011.4956088.458608e-09
0.6346241.4955668.639669e-09
0.6362511.4955258.821195e-09
0.6378831.4954849.003186e-09
0.6395181.4954439.185643e-09
0.6411581.4954029.368569e-09
0.6428021.4953629.551963e-09
0.644451.4953229.735828e-09
0.6461021.4952819.920164e-09
0.6477591.4952411.010497e-08
0.649421.4952021.029025e-08
0.651.4951881.035500e-08
0.6510851.4951621.037229e-08
0.6527541.4951231.039890e-08
0.6544281.4950831.042558e-08
0.6561061.4950441.045232e-08
0.6577881.4950051.047914e-08
0.6594741.4949661.050602e-08
0.6611651.4949281.053298e-08
0.6628611.4948891.056000e-08
0.664561.4948511.058709e-08
0.6662641.4948131.061425e-08
0.6679721.4947751.064148e-08
0.6696851.4947371.066878e-08
0.6714021.49471.069615e-08
0.6731231.4946621.072359e-08
0.6748491.4946251.075110e-08
0.676581.4945881.077868e-08
0.6783141.4945511.080633e-08
0.6800531.4945141.083405e-08
0.6817971.4944771.086185e-08
0.6835451.494441.088971e-08
0.6852981.4944041.091765e-08
0.6870551.4943681.094565e-08
0.6888161.4943321.097373e-08
0.6905831.4942961.100189e-08
0.6923531.494261.103011e-08
0.6941281.4942241.105841e-08
0.6959081.4941881.108678e-08
0.6976921.4941531.111522e-08
0.6994811.4941181.114373e-08
0.71.4941081.115200e-08
0.7012751.4940831.101992e-08
0.7030731.4940481.083362e-08
0.7048751.4940131.064684e-08
0.7066831.4939781.045958e-08
0.7084951.4939431.027184e-08
0.7103111.4939091.008362e-08
0.7121321.4938749.894918e-09
0.7139581.493849.705730e-09
0.7157891.4938069.516058e-09
0.7176241.4937729.325900e-09
0.7194641.4937389.135254e-09
0.7213091.4937058.944119e-09
0.7231581.4936718.752494e-09
0.7250121.4936388.560377e-09
0.7268711.4936048.367769e-09
0.7287351.4935718.174666e-09
0.7306031.4935387.981068e-09
0.7324771.4935057.786974e-09
0.7343551.4934727.592382e-09
0.7362371.4934397.397291e-09
0.7381251.4934077.201700e-09
0.7400181.4933747.005608e-09
0.7419151.4933426.809012e-09
0.7438171.493316.611913e-09
0.7457241.4932776.414308e-09
0.7476361.4932456.216197e-09
0.7495531.4932136.017578e-09
0.751.4932065.971300e-09
0.7514751.4931825.983043e-09
0.7534021.493155.998380e-09
0.7553341.4931186.013756e-09
0.757271.4930876.029172e-09
0.7592121.4930556.044627e-09
0.7611591.4930246.060122e-09
0.763111.4929936.075656e-09
0.7650671.4929626.091231e-09
0.7670281.4929316.106845e-09
0.7689951.49296.122500e-09
0.7709671.4928696.138194e-09
0.7729431.4928386.153929e-09
0.7749251.4928086.169704e-09
0.7769121.4927776.185520e-09
0.7789041.4927476.201376e-09
0.781.492736.210100e-09
0.7809011.4927166.217277e-09
0.7829031.4926866.233225e-09
0.7849111.4926566.249213e-09
0.7869231.4926266.265243e-09
0.7889411.4925966.281313e-09
0.7909641.4925666.297425e-09
0.7929921.4925366.313578e-09
0.7950251.4925066.329772e-09
0.7970631.4924776.346008e-09
0.7991071.4924476.362286e-09
0.81.4924346.369400e-09
0.8011561.4924186.378600e-09
0.803211.4923886.394951e-09
0.8052691.4923596.411343e-09
0.8073341.492336.427778e-09
0.8094041.4923016.444255e-09
0.8114791.4922726.460775e-09
0.813561.4922436.477336e-09
0.8156461.4922146.493940e-09
0.8177371.4921856.510587e-09
0.8198341.4921566.527276e-09
0.8219361.4921276.544008e-09
0.8240431.4920996.560783e-09
0.8261561.492076.577602e-09
0.8282741.4920426.594463e-09
0.831.4920196.608200e-09
0.8303981.4920136.611369e-09
0.8325271.4919856.628327e-09
0.8346621.4919576.645329e-09
0.8368021.4919286.662375e-09
0.8389471.49196.679464e-09
0.8410981.4918726.696597e-09
0.8432551.4918446.713774e-09
0.8454171.4918166.730995e-09
0.8475841.4917886.748260e-09
0.8497581.4917616.765569e-09
0.851.4917586.767500e-09
0.8519361.4917336.782917e-09
0.8541211.4917056.800309e-09
0.8563111.4916786.817745e-09
0.8585061.491656.835226e-09
0.8607071.4916226.852752e-09
0.8629141.4915956.870323e-09
0.8651271.4915686.887939e-09
0.8673451.491546.905599e-09
0.8695691.4915136.923306e-09
0.8717981.4914866.941057e-09
0.8740331.4914586.958855e-09
0.8762741.4914316.976697e-09
0.8785211.4914046.994586e-09
0.8807741.4913777.012520e-09
0.8830321.491357.030501e-09
0.8852961.4913237.048527e-09
0.8875661.4912967.066600e-09
0.8898421.4912697.084719e-09
0.8921231.4912437.102884e-09
0.8944111.4912167.121096e-09
0.8967041.4911897.139355e-09
0.8990031.4911637.157661e-09
0.91.4911517.165600e-09
0.9013081.4911367.176011e-09
0.9036191.4911097.194406e-09
0.9059361.4910837.212848e-09
0.9082581.4910567.231337e-09
0.9105871.491037.249874e-09
0.9129221.4910037.268458e-09
0.9152631.4909777.287090e-09
0.9176091.490957.305770e-09
0.9199621.4909247.324498e-09
0.9223211.4908987.343273e-09
0.9246861.4908727.362097e-09
0.9270561.4908457.380969e-09
0.9294331.4908197.399890e-09
0.9318161.4907937.418859e-09
0.9342061.4907677.437876e-09
0.9366011.4907417.456943e-09
0.9390021.4907157.476058e-09
0.941411.4906897.495222e-09
0.9438241.4906627.514436e-09
0.9462441.4906367.533698e-09
0.948671.4906117.553010e-09
0.951.4905967.563600e-09
0.9511021.4905857.572374e-09
0.9535411.4905597.591790e-09
0.9559851.4905337.611256e-09
0.9584371.4905077.630772e-09
0.9608941.4904817.650338e-09
0.9633581.4904557.669954e-09
0.9658281.4904297.689620e-09
0.9683041.4904037.709337e-09
0.9707871.4903787.729104e-09
0.9732761.4903527.748922e-09
0.9757711.4903267.768791e-09
0.9782731.49037.788710e-09
0.9807811.4902757.808681e-09
0.9832961.4902497.828703e-09
0.9858171.4902237.848776e-09
0.9883451.4901987.868901e-09
0.9908791.4901727.889077e-09
0.9934191.4901467.909306e-09
0.9959671.490127.929586e-09
0.998521.4900957.949918e-09
11.490087.961700e-09
1.001081.4900697.970302e-09
1.003651.4900447.990738e-09
1.006221.4900188.011227e-09
1.00881.4899928.031768e-09
1.011391.4899678.052362e-09
1.013981.4899418.073009e-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
—