Optical constants

Refractive index of FD225 (HOYA)

FD225: 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
1.80808
Extinction coefficient k
3.03264e-08
Permittivity ε1
3.26916
Permittivity ε2
1.09665e-07
Absorption coefficient α
0.00648558 cm⁻¹
Penetration depth δ = λ/(2πk)
3.08376e+09 nm
Abbe number Vd
22.764
Chromatic dispersion dn/dλ
-0.176675 µm⁻¹
Group index ng
1.9119
Group velocity dispersion
371.983 fs²/mm
Dispersion parameter D
-2029.36 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

# FD225 (HOYA): FD225
hoya_fd225 = ls.fetch_refractiveindex("specs", "HOYA-optical", "FD225", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hoya_fd225.range_nm)  # (365.01, 1013.98) nm
eps = hoya_fd225.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=3.1189869−0.015820772⁢λ2.0+0.044425024⁢λ−2.0+0.0035834882⁢λ−4.0−0.00023943449⁢λ−6.0+3.8756542×10-5⁢λ−8.0

Valid from 0.36501 to 1.01398 µm.

Coefficients as stored
CiValue
C13.1189869
C2-0.015820772
C32.0
C40.044425024
C5-2.0
C60.0035834882
C7-4.0
C8-0.00023943449
C9-6.0
C103.8756542e-05
C11-8.0

Comments and conditions

Recommended glass type

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -1.09e-05 4.1e-09 -1.04e-11 1.01e-06 1.33e-09 0.307
nd
1.80809
Vd
22.76
glass code
808228
glass status
standard
density
value: 3320
thermal expansion
value: 9.6e-06, temperature range: 243 343; value: 1.18e-05, temperature range: 293 573
dPgF
0.0213
resistance
acid: 1.0; stain: 1.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -4.74e-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
FD225 (HOYA), FD225: n and k versus wavelength
λ (µm)nk
0.365011.9167570
0.3659461.9155240
0.3668841.9143060
0.3678251.9131020
0.3687681.9119110
0.3697131.9107340
0.371.910388.940700e-06
0.3706611.909578.534156e-06
0.3716121.9084187.949958e-06
0.3725651.907287.364262e-06
0.373521.9061546.777065e-06
0.3744771.905046.188361e-06
0.3754381.9039395.598149e-06
0.37641.902855.006423e-06
0.3773651.9017724.413180e-06
0.3783331.9007063.818416e-06
0.3793031.8996523.222127e-06
0.381.8989032.793600e-06
0.3802751.8986092.740912e-06
0.381251.8975772.554376e-06
0.3822281.8965562.367362e-06
0.3832081.8955462.179868e-06
0.384191.8945471.991894e-06
0.3851761.8935581.803438e-06
0.3861631.8925791.614499e-06
0.3871531.8916111.425075e-06
0.3881461.8906531.235165e-06
0.3891411.8897041.044769e-06
0.391.8888968.804400e-07
0.3901391.8887668.733679e-07
0.3911391.8878378.224024e-07
0.3921421.8869177.713063e-07
0.3931471.8860077.200792e-07
0.3941551.8851066.687207e-07
0.3951661.8842146.172306e-07
0.3961791.8833315.656084e-07
0.3971951.8824575.138539e-07
0.3982131.8815924.619666e-07
0.3992341.8807354.099464e-07
0.41.8800993.709400e-07
0.4002581.8798873.682300e-07
0.4012841.8790473.574524e-07
0.4023131.8782153.466471e-07
0.4033451.8773913.358141e-07
0.4043791.8765763.249533e-07
0.4054161.8757683.140647e-07
0.4064551.8749683.031481e-07
0.4074971.8741762.922036e-07
0.4085421.8733912.812310e-07
0.409591.8726142.702303e-07
0.410641.8718442.592014e-07
0.4116931.8710812.481442e-07
0.4127481.8703262.370586e-07
0.4138061.8695772.259446e-07
0.4148671.8688362.148021e-07
0.4159311.8681012.036311e-07
0.4169981.8673741.924314e-07
0.4180671.8666531.812030e-07
0.4191391.8659381.699458e-07
0.421.865371.609000e-07
0.4202131.8652311.604371e-07
0.4212911.8645291.580991e-07
0.4223711.8638341.557551e-07
0.4234541.8631451.534051e-07
0.424541.8624631.510491e-07
0.4256281.8617861.486871e-07
0.4267191.8611161.463190e-07
0.4278131.8604521.439448e-07
0.428911.8597931.415645e-07
0.430011.8591411.391781e-07
0.4311131.8584941.367856e-07
0.4322181.8578521.343870e-07
0.4333261.8572171.319822e-07
0.4344371.8565861.295713e-07
0.4355511.8559621.271542e-07
0.4366681.8553421.247308e-07
0.4377871.8547281.223013e-07
0.438911.854121.198655e-07
0.441.8535351.175000e-07
0.4400351.8535161.174563e-07
0.4411631.8529181.160559e-07
0.4422951.8523241.146520e-07
0.4434291.8517361.132445e-07
0.4445661.8511531.118334e-07
0.4457051.8505741.104187e-07
0.4468481.8500011.090004e-07
0.4479941.8494321.075784e-07
0.4491431.8488681.061527e-07
0.4502941.8483081.047234e-07
0.4514491.8477531.032905e-07
0.4526061.8472031.018538e-07
0.4537671.8466571.004135e-07
0.454931.8461169.896953e-08
0.4560971.8455799.752182e-08
0.4572661.8450469.607040e-08
0.4584381.8445189.461525e-08
0.4596141.8439949.315638e-08
0.461.8438239.267700e-08
0.4607921.8434749.190841e-08
0.4619741.8429589.076216e-08
0.4631581.8424468.961297e-08
0.4643461.8419398.846084e-08
0.4655361.8414358.730575e-08
0.466731.8409358.614770e-08
0.4679271.840448.498668e-08
0.4691261.8399488.382269e-08
0.4703291.839468.265571e-08
0.4715351.8389768.148573e-08
0.4727441.8384958.031276e-08
0.4739561.8380197.913678e-08
0.4751711.8375467.795779e-08
0.476391.8370767.677577e-08
0.4776111.836617.559072e-08
0.4788361.8361487.440263e-08
0.481.8357137.327300e-08
0.4800631.8356897.324417e-08
0.4812941.8352347.268437e-08
0.4825281.8347827.212314e-08
0.4837651.8343347.156047e-08
0.4850061.8338897.099635e-08
0.4862491.8334477.043079e-08
0.4874961.8330086.986378e-08
0.4887461.8325736.929531e-08
0.4899991.8321416.872539e-08
0.4912551.8317136.815401e-08
0.4925151.8312876.758116e-08
0.4937781.8308646.700684e-08
0.4950441.8304456.643105e-08
0.4963131.8300296.585378e-08
0.4975861.8296166.527503e-08
0.4988611.8292056.469480e-08
0.51.8288436.417700e-08
0.5001411.8287986.409543e-08
0.5014231.8283946.335110e-08
0.5027091.8279926.260487e-08
0.5039971.8275946.185673e-08
0.505291.8271986.110666e-08
0.5065851.8268056.035468e-08
0.5078841.8264155.960076e-08
0.5091861.8260285.884491e-08
0.5104921.8256445.808713e-08
0.5118011.8252625.732740e-08
0.5131131.8248835.656572e-08
0.5144291.8245065.580209e-08
0.5157481.8241335.503650e-08
0.517071.8237625.426895e-08
0.5183961.8233935.349944e-08
0.5197251.8230275.272794e-08
0.5210571.8226645.195447e-08
0.5223931.8223035.117902e-08
0.5237331.8219445.040158e-08
0.5250761.8215884.962215e-08
0.5264221.8212354.884071e-08
0.5277721.8208844.805728e-08
0.5291251.8205354.727183e-08
0.5304811.8201894.648437e-08
0.5318421.8198454.569490e-08
0.5332051.8195034.490339e-08
0.5345721.8191644.410986e-08
0.5359431.8188274.331430e-08
0.5373171.8184924.251669e-08
0.5386951.818164.171704e-08
0.5400761.817834.091534e-08
0.5414611.8175024.011158e-08
0.5428491.8171763.930576e-08
0.5442411.8168523.849788e-08
0.5456361.8165313.768792e-08
0.5470351.8162113.687589e-08
0.5484381.8158943.606178e-08
0.5498441.8155793.524558e-08
0.551.8155443.515500e-08
0.5512541.8152663.499400e-08
0.5526671.8149553.481249e-08
0.5540841.8146463.463051e-08
0.5555051.8143393.444807e-08
0.5569291.8140343.426517e-08
0.5583571.8137313.408179e-08
0.5597891.813433.389794e-08
0.5612241.8131313.371362e-08
0.5626631.8128343.352883e-08
0.5641061.8125393.334357e-08
0.5655521.8122463.315783e-08
0.5670021.8119543.297161e-08
0.5684561.8116653.278492e-08
0.5699131.8113773.259774e-08
0.5713741.8110913.241009e-08
0.5728391.8108073.222196e-08
0.5743081.8105253.203334e-08
0.5757811.8102453.184424e-08
0.5772571.8099663.165466e-08
0.5787371.8096893.146459e-08
0.5802211.8094143.127403e-08
0.5817091.8091413.108298e-08
0.58321.8088693.089145e-08
0.5846951.8085993.069942e-08
0.5861951.8083313.050690e-08
0.5876971.8080653.031389e-08
0.5892041.80783.012038e-08
0.5907151.8075362.992638e-08
0.592231.8072752.973187e-08
0.5937481.8070152.953687e-08
0.595271.8067562.934137e-08
0.5967971.80652.914537e-08
0.5983271.8062442.894887e-08
0.5998611.8059912.875186e-08
0.61.8059682.873400e-08
0.6013991.8057392.865549e-08
0.6029411.8054882.856896e-08
0.6044871.8052392.848220e-08
0.6060371.8049922.839522e-08
0.6075911.8047462.830802e-08
0.6091481.8045012.822059e-08
0.610711.8042582.813294e-08
0.6122761.8040172.804507e-08
0.6138461.8037772.795697e-08
0.615421.8035382.786864e-08
0.6169981.8033012.778009e-08
0.618581.8030652.769131e-08
0.6201661.8028312.760230e-08
0.6217561.8025982.751306e-08
0.623351.8023662.742360e-08
0.6249481.8021362.733391e-08
0.6265511.8019072.724398e-08
0.6281571.801682.715383e-08
0.6297681.8014542.706344e-08
0.6313821.8012292.697282e-08
0.6330011.8010052.688198e-08
0.6346241.8007832.679089e-08
0.6362511.8005622.669958e-08
0.6378831.8003432.660803e-08
0.6395181.8001252.651624e-08
0.6411581.7999082.642422e-08
0.6428021.7996922.633197e-08
0.644451.7994772.623947e-08
0.6461021.7992642.614674e-08
0.6477591.7990522.605378e-08
0.649421.7988412.596057e-08
0.651.7987682.592800e-08
0.6510851.7986322.584986e-08
0.6527541.7984242.572960e-08
0.6544281.7982162.560903e-08
0.6561061.798012.548815e-08
0.6577881.7978062.536696e-08
0.6594741.7976022.524546e-08
0.6611651.79742.512365e-08
0.6628611.7971982.500153e-08
0.664561.7969982.487909e-08
0.6662641.7967992.475634e-08
0.6679721.7966012.463328e-08
0.6696851.7964052.450990e-08
0.6714021.7962092.438620e-08
0.6731231.7960142.426219e-08
0.6748491.7958212.413786e-08
0.676581.7956282.401321e-08
0.6783141.7954372.388824e-08
0.6800531.7952472.376295e-08
0.6817971.7950582.363734e-08
0.6835451.7948692.351140e-08
0.6852981.7946822.338515e-08
0.6870551.7944962.325857e-08
0.6888161.7943112.313166e-08
0.6905831.7941272.300443e-08
0.6923531.7939442.287687e-08
0.6941281.7937622.274899e-08
0.6959081.7935812.262078e-08
0.6976921.7934012.249224e-08
0.6994811.7932222.236337e-08
0.71.793172.232600e-08
0.7012751.7930442.236666e-08
0.7030731.7928672.242402e-08
0.7048751.7926912.248153e-08
0.7066831.7925162.253918e-08
0.7084951.7923412.259698e-08
0.7103111.7921682.265493e-08
0.7121321.7919952.271302e-08
0.7139581.7918242.277127e-08
0.7157891.7916532.282966e-08
0.7176241.7914842.288821e-08
0.7194641.7913152.294690e-08
0.7213091.7911472.300575e-08
0.7231581.790982.306474e-08
0.7250121.7908142.312389e-08
0.7268711.7906492.318319e-08
0.7287351.7904842.324264e-08
0.7306031.7903212.330225e-08
0.7324771.7901582.336200e-08
0.7343551.7899972.342191e-08
0.7362371.7898362.348198e-08
0.7381251.7896752.354219e-08
0.7400181.7895162.360256e-08
0.7419151.7893582.366309e-08
0.7438171.78922.372377e-08
0.7457241.7890432.378461e-08
0.7476361.7888872.384560e-08
0.7495531.7887322.390675e-08
0.751.7886962.392100e-08
0.7514751.7885772.396806e-08
0.7534021.7884242.402952e-08
0.7553341.7882712.409114e-08
0.757271.7881192.415292e-08
0.7592121.7879672.421486e-08
0.7611591.7878172.427696e-08
0.763111.7876672.433921e-08
0.7650671.7875182.440163e-08
0.7670281.7873692.446420e-08
0.7689951.7872222.452694e-08
0.7709671.7870752.458983e-08
0.7729431.7869292.465289e-08
0.7749251.7867832.471611e-08
0.7769121.7866392.477949e-08
0.7789041.7864952.484304e-08
0.781.7864162.487800e-08
0.7809011.7863512.461889e-08
0.7829031.7862092.404316e-08
0.7849111.7860672.346595e-08
0.7869231.7859262.288726e-08
0.7889411.7857852.230709e-08
0.7909641.7856452.172542e-08
0.7929921.7855062.114227e-08
0.7950251.7853682.055762e-08
0.7970631.785231.997148e-08
0.7991071.7850921.938383e-08
0.81.7850331.912700e-08
0.8011561.7849561.864472e-08
0.803211.784821.778754e-08
0.8052691.7846851.692817e-08
0.8073341.784551.606659e-08
0.8094041.7844161.520280e-08
0.8114791.7842831.433680e-08
0.813561.784151.346858e-08
0.8156461.7840181.259813e-08
0.8177371.7838861.172544e-08
0.8198341.7837551.085053e-08
0.8219361.7836259.973365e-09
0.8240431.7834959.093954e-09
0.8261561.7833668.212288e-09
0.8282741.7832387.328362e-09
0.831.7831346.608200e-09
0.8303981.783116.611369e-09
0.8325271.7829826.628327e-09
0.8346621.7828556.645329e-09
0.8368021.7827296.662375e-09
0.8389471.7826046.679464e-09
0.8410981.7824786.696597e-09
0.8432551.7823546.713774e-09
0.8454171.782236.730995e-09
0.8475841.7821066.748260e-09
0.8497581.7819846.765569e-09
0.851.781976.767500e-09
0.8519361.7818616.782917e-09
0.8541211.7817396.800309e-09
0.8563111.7816186.817745e-09
0.8585061.7814976.835226e-09
0.8607071.7813776.852752e-09
0.8629141.7812576.870323e-09
0.8651271.7811386.887939e-09
0.8673451.7810196.905599e-09
0.8695691.7809016.923306e-09
0.8717981.7807836.941057e-09
0.8740331.7806666.958855e-09
0.8762741.7805496.976697e-09
0.8785211.7804336.994586e-09
0.8807741.7803177.012520e-09
0.8830321.7802027.030501e-09
0.8852961.7800877.048527e-09
0.8875661.7799737.066600e-09
0.8898421.7798597.084719e-09
0.8921231.7797457.102884e-09
0.8944111.7796327.121096e-09
0.8967041.779527.139355e-09
0.8990031.7794087.157661e-09
0.91.7793597.165600e-09
0.9013081.7792967.374060e-09
0.9036191.7791857.742393e-09
0.9059361.7790748.111671e-09
0.9082581.7789648.481896e-09
0.9105871.7788548.853070e-09
0.9129221.7787449.225196e-09
0.9152631.7786359.598276e-09
0.9176091.7785279.972312e-09
0.9199621.7784181.034731e-08
0.9223211.7783111.072326e-08
0.9246861.7782031.110018e-08
0.9270561.7780961.147807e-08
0.9294331.777991.185693e-08
0.9318161.7778841.223676e-08
0.9342061.7777781.261756e-08
0.9366011.7776721.299933e-08
0.9390021.7775671.338209e-08
0.941411.7774631.376583e-08
0.9438241.7773581.415055e-08
0.9462441.7772551.453626e-08
0.948671.7771511.492296e-08
0.951.7770951.513500e-08
0.9511021.7770481.515254e-08
0.9535411.7769451.519137e-08
0.9559851.7768431.523029e-08
0.9584371.7767411.526931e-08
0.9608941.7766391.530843e-08
0.9633581.7765381.534765e-08
0.9658281.7764371.538698e-08
0.9683041.7763361.542640e-08
0.9707871.7762361.546592e-08
0.9732761.7761361.550555e-08
0.9757711.7760361.554528e-08
0.9782731.7759371.558511e-08
0.9807811.7758381.562504e-08
0.9832961.7757391.566507e-08
0.9858171.7756411.570521e-08
0.9883451.7755431.574545e-08
0.9908791.7754451.578579e-08
0.9934191.7753481.582624e-08
0.9959671.7752511.586679e-08
0.998521.7751541.590744e-08
11.7750981.593100e-08
1.001081.7750581.594822e-08
1.003651.7749621.598913e-08
1.006221.7748661.603015e-08
1.00881.774771.607128e-08
1.011391.7746751.611251e-08
1.013981.774581.615384e-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
—