Optical constants

Refractive index of FCD100 (HOYA)

FCD100: 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
1.437
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.06497
Permittivity ε2
1.34454e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
95.1
Chromatic dispersion dn/dλ
-0.0238475 µm⁻¹
Group index ng
1.45101
Group velocity dispersion
40.5849 fs²/mm
Dispersion parameter D
-221.412 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

# FCD100 (HOYA): FCD100
hoya_fcd100 = ls.fetch_refractiveindex("specs", "HOYA-optical", "FCD100", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hoya_fcd100.range_nm)  # (365.01, 1013.98) nm
eps = hoya_fcd100.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=2.0482157−0.0043211222⁢λ2.0+0.0061826755⁢λ−2.0+3.141148×10-5⁢λ−4.0+3.5370793×10-6⁢λ−6.0−1.6694497×10-7⁢λ−8.0

Valid from 0.36501 to 1.01398 µm.

Coefficients as stored
CiValue
C12.0482157
C2-0.0043211222
C32.0
C40.0061826755
C5-2.0
C63.141148e-05
C7-4.0
C83.5370793e-06
C9-6.0
C10-1.6694497e-07
C11-8.0

Comments and conditions

Recommended glass type

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -2.11e-05 -8.57e-09 2.98e-11 2.78e-07 2.18e-10 0.201
nd
1.43700
Vd
95.10
glass code
437951
glass status
standard
density
value: 3530
thermal expansion
value: 1.39e-05, temperature range: 243 343; value: 1.75e-05, temperature range: 293 573
dPgF
0.0564
resistance
acid: 3.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -7.52e-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
FCD100 (HOYA), FCD100: n and k versus wavelength
λ (µm)nk
0.365011.4480265.104297e-08
0.3659461.4479334.757781e-08
0.3668841.447844.410376e-08
0.3678251.4477484.062080e-08
0.3687681.4476563.712891e-08
0.3697131.4475653.362807e-08
0.371.4475383.256700e-08
0.3706611.4474753.141564e-08
0.3716121.4473842.976115e-08
0.3725651.4472952.810242e-08
0.373521.4472052.643944e-08
0.3744771.4471172.477219e-08
0.3754381.4470282.310067e-08
0.37641.4469412.142486e-08
0.3773651.4468531.974476e-08
0.3783331.4467661.806035e-08
0.3793031.446681.637162e-08
0.381.4466191.515800e-08
0.3802751.4465941.491166e-08
0.381251.4465091.403954e-08
0.3822281.4464241.316519e-08
0.3832081.446341.228859e-08
0.384191.4462561.140974e-08
0.3851761.4461721.052864e-08
0.3861631.4460899.645284e-09
0.3871531.4460068.759661e-09
0.3881461.4459247.871767e-09
0.3891411.4458436.981596e-09
0.391.4457736.213300e-09
0.3901391.4457616.259804e-09
0.3911391.445686.594935e-09
0.3921421.44566.930926e-09
0.3931471.445527.267779e-09
0.3941551.4454417.605495e-09
0.3951661.4453627.944076e-09
0.3961791.4452838.283526e-09
0.3971951.4452058.623847e-09
0.3982131.4451278.965040e-09
0.3992341.445059.307107e-09
0.41.4449929.563600e-09
0.4002581.4449739.569772e-09
0.4012841.4448969.594320e-09
0.4023131.444829.618931e-09
0.4033451.4447449.643605e-09
0.4043791.4446699.668342e-09
0.4054161.4445949.693143e-09
0.4064551.444529.718007e-09
0.4074971.4444469.742935e-09
0.4085421.4443729.767927e-09
0.409591.4442999.792983e-09
0.410641.4442269.818103e-09
0.4116931.4441539.843287e-09
0.4127481.4440819.868537e-09
0.4138061.444019.893850e-09
0.4148671.4439389.919229e-09
0.4159311.4438679.944673e-09
0.4169981.4437979.970182e-09
0.4180671.4437279.995757e-09
0.4191391.4436571.002140e-08
0.421.4436011.004200e-08
0.4202131.4435871.000966e-08
0.4212911.4435189.846312e-09
0.4223711.443459.682547e-09
0.4234541.4433819.518362e-09
0.424541.4433139.353755e-09
0.4256281.4432469.188727e-09
0.4267191.4431799.023276e-09
0.4278131.4431128.857400e-09
0.428911.4430458.691099e-09
0.430011.4429798.524372e-09
0.4311131.4429138.357217e-09
0.4322181.4428488.189633e-09
0.4333261.4427838.021620e-09
0.4344371.4427187.853176e-09
0.4355511.4426537.684301e-09
0.4366681.4425897.514992e-09
0.4377871.4425267.345249e-09
0.438911.4424627.175071e-09
0.441.4424017.009800e-09
0.4400351.4423997.010362e-09
0.4411631.4423367.028340e-09
0.4422951.4422747.046365e-09
0.4434291.4422127.064435e-09
0.4445661.442157.082552e-09
0.4457051.4420897.100716e-09
0.4468481.4420287.118926e-09
0.4479941.4419677.137183e-09
0.4491431.4419077.155486e-09
0.4502941.4418467.173837e-09
0.4514491.4417877.192235e-09
0.4526061.4417277.210679e-09
0.4537671.4416687.229171e-09
0.454931.4416097.247711e-09
0.4560971.441557.266298e-09
0.4572661.4414927.284933e-09
0.4584381.4414347.303615e-09
0.4596141.4413767.322345e-09
0.461.4413587.328500e-09
0.4607921.4413197.189592e-09
0.4619741.4412626.982430e-09
0.4631581.4412056.774736e-09
0.4643461.4411496.566510e-09
0.4655361.4410936.357750e-09
0.466731.4410376.148455e-09
0.4679271.4409815.938623e-09
0.4691261.4409265.728253e-09
0.4703291.4408715.517344e-09
0.4715351.4408165.305894e-09
0.4727441.4407615.093902e-09
0.4739561.4407074.881366e-09
0.4751711.4406534.668285e-09
0.476391.44064.454658e-09
0.4776111.4405464.240484e-09
0.4788361.4404934.025760e-09
0.481.4404433.821600e-09
0.4800631.440443.822105e-09
0.4812941.4403883.831909e-09
0.4825281.4403363.841738e-09
0.4837651.4402843.851592e-09
0.4850061.4402323.861471e-09
0.4862491.440183.871376e-09
0.4874961.4401293.881306e-09
0.4887461.4400783.891262e-09
0.4899991.4400273.901243e-09
0.4912551.4399773.911250e-09
0.4925151.4399273.921282e-09
0.4937781.4398773.931340e-09
0.4950441.4398273.941424e-09
0.4963131.4397783.951534e-09
0.4975861.4397283.961670e-09
0.4988611.439683.971832e-09
0.51.4396363.980900e-09
0.5001411.4396313.982019e-09
0.5014231.4395823.992229e-09
0.5027091.4395344.002465e-09
0.5039971.4394864.012728e-09
0.505291.4394384.023016e-09
0.5065851.4393914.033332e-09
0.5078841.4393444.043673e-09
0.5091861.4392974.054041e-09
0.5104921.439254.064436e-09
0.5118011.4392034.074857e-09
0.5131131.4391574.085305e-09
0.5144291.4391114.095780e-09
0.5157481.4390654.106282e-09
0.517071.4390194.116810e-09
0.5183961.4389744.127366e-09
0.5197251.4389294.137949e-09
0.5210571.4388844.148559e-09
0.5223931.4388394.159196e-09
0.5237331.4387954.169860e-09
0.5250761.438754.180552e-09
0.5264221.4387064.191271e-09
0.5277721.4386624.202017e-09
0.5291251.4386194.212791e-09
0.5304811.4385754.223593e-09
0.5318421.4385324.234422e-09
0.5332051.4384894.245280e-09
0.5345721.4384464.256165e-09
0.5359431.4384044.267077e-09
0.5373171.4383614.278018e-09
0.5386951.4383194.288987e-09
0.5400761.4382774.299984e-09
0.5414611.4382354.311010e-09
0.5428491.4381944.322063e-09
0.5442411.4381524.333145e-09
0.5456361.4381114.344255e-09
0.5470351.438074.355394e-09
0.5484381.4380294.366562e-09
0.5498441.4379894.377758e-09
0.551.4379844.379000e-09
0.5512541.4379484.388980e-09
0.5526671.4379084.400230e-09
0.5540841.4378684.411510e-09
0.5555051.4378284.422818e-09
0.5569291.4377884.434156e-09
0.5583571.4377494.445522e-09
0.5597891.437714.456918e-09
0.5612241.4376714.468343e-09
0.5626631.4376324.479797e-09
0.5641061.4375934.491280e-09
0.5655521.4375544.502793e-09
0.5670021.4375164.514336e-09
0.5684561.4374784.525908e-09
0.5699131.437444.537509e-09
0.5713741.4374024.549141e-09
0.5728391.4373644.560802e-09
0.5743081.4373274.572493e-09
0.5757811.437294.584214e-09
0.5772571.4372534.595966e-09
0.5787371.4372164.607747e-09
0.5802211.4371794.619558e-09
0.5817091.4371424.631400e-09
0.58321.4371064.643272e-09
0.5846951.4370694.655175e-09
0.5861951.4370334.667108e-09
0.5876971.4369974.679072e-09
0.5892041.4369624.691066e-09
0.5907151.4369264.703092e-09
0.592231.436894.715148e-09
0.5937481.4368554.727235e-09
0.595271.436824.739352e-09
0.5967971.4367854.751501e-09
0.5983271.436754.763682e-09
0.5998611.4367164.775893e-09
0.61.4367124.777000e-09
0.6013991.4366814.788138e-09
0.6029411.4366474.800416e-09
0.6044871.4366124.812724e-09
0.6060371.4365784.825064e-09
0.6075911.4365444.837436e-09
0.6091481.4365114.849840e-09
0.610711.4364774.862275e-09
0.6122761.4364444.874742e-09
0.6138461.436414.887241e-09
0.615421.4363774.899773e-09
0.6169981.4363444.912336e-09
0.618581.4363114.924932e-09
0.6201661.4362794.937560e-09
0.6217561.4362464.950220e-09
0.623351.4362144.962913e-09
0.6249481.4361814.975638e-09
0.6265511.4361494.988396e-09
0.6281571.4361175.001186e-09
0.6297681.4360855.014010e-09
0.6313821.4360535.026866e-09
0.6330011.4360225.039755e-09
0.6346241.435995.052677e-09
0.6362511.4359595.065633e-09
0.6378831.4359285.078621e-09
0.6395181.4358975.091643e-09
0.6411581.4358665.104699e-09
0.6428021.4358355.117788e-09
0.644451.4358045.130910e-09
0.6461021.4357745.144066e-09
0.6477591.4357435.157256e-09
0.649421.4357135.170479e-09
0.651.4357025.175100e-09
0.6510851.4356835.183737e-09
0.6527541.4356535.197028e-09
0.6544281.4356235.210354e-09
0.6561061.4355935.223713e-09
0.6577881.4355635.237107e-09
0.6594741.4355345.250535e-09
0.6611651.4355045.263998e-09
0.6628611.4354755.277495e-09
0.664561.4354465.291027e-09
0.6662641.4354175.304594e-09
0.6679721.4353885.318195e-09
0.6696851.4353595.331831e-09
0.6714021.435335.345502e-09
0.6731231.4353015.359209e-09
0.6748491.4352735.372950e-09
0.676581.4352455.386727e-09
0.6783141.4352165.400539e-09
0.6800531.4351885.414386e-09
0.6817971.435165.428269e-09
0.6835451.4351325.442187e-09
0.6852981.4351045.456141e-09
0.6870551.4350775.470131e-09
0.6888161.4350495.484157e-09
0.6905831.4350215.498219e-09
0.6923531.4349945.512316e-09
0.6941281.4349675.526450e-09
0.6959081.434945.540620e-09
0.6976921.4349125.554827e-09
0.6994811.4348865.569070e-09
0.71.4348785.573200e-09
0.7012751.4348595.583349e-09
0.7030731.4348325.597665e-09
0.7048751.4348055.612018e-09
0.7066831.4347795.626407e-09
0.7084951.4347525.640834e-09
0.7103111.4347265.655297e-09
0.7121321.4346995.669798e-09
0.7139581.4346735.684336e-09
0.7157891.4346475.698911e-09
0.7176241.4346215.713523e-09
0.7194641.4345955.728173e-09
0.7213091.4345695.742860e-09
0.7231581.4345445.757585e-09
0.7250121.4345185.772348e-09
0.7268711.4344935.787148e-09
0.7287351.4344675.801987e-09
0.7306031.4344425.816864e-09
0.7324771.4344175.831778e-09
0.7343551.4343915.846731e-09
0.7362371.4343665.861723e-09
0.7381251.4343415.876752e-09
0.7400181.4343165.891821e-09
0.7419151.4342925.906928e-09
0.7438171.4342675.922073e-09
0.7457241.4342425.937258e-09
0.7476361.4342185.952481e-09
0.7495531.4341935.967744e-09
0.751.4341885.971300e-09
0.7514751.4341695.983043e-09
0.7534021.4341455.998380e-09
0.7553341.434126.013756e-09
0.757271.4340966.029172e-09
0.7592121.4340726.044627e-09
0.7611591.4340486.060122e-09
0.763111.4340246.075656e-09
0.7650671.4346.091231e-09
0.7670281.4339776.106845e-09
0.7689951.4339536.122500e-09
0.7709671.4339296.138194e-09
0.7729431.4339066.153929e-09
0.7749251.4338826.169704e-09
0.7769121.4338596.185520e-09
0.7789041.4338366.201376e-09
0.781.4338236.210100e-09
0.7809011.4338126.217277e-09
0.7829031.4337896.233225e-09
0.7849111.4337666.249213e-09
0.7869231.4337436.265243e-09
0.7889411.433726.281313e-09
0.7909641.4336976.297425e-09
0.7929921.4336756.313578e-09
0.7950251.4336526.329772e-09
0.7970631.4336296.346008e-09
0.7991071.4336076.362286e-09
0.81.4335976.369400e-09
0.8011561.4335846.888539e-09
0.803211.4335627.811230e-09
0.8052691.4335398.736287e-09
0.8073341.4335179.663715e-09
0.8094041.4334951.059352e-08
0.8114791.4334721.152571e-08
0.813561.433451.246029e-08
0.8156461.4334281.339727e-08
0.8177371.4334061.433665e-08
0.8198341.4333841.527844e-08
0.8219361.4333621.622264e-08
0.8240431.4333411.716926e-08
0.8261561.4333191.811831e-08
0.8282741.4332971.906980e-08
0.831.4332791.984500e-08
0.8303981.4332751.985451e-08
0.8325271.4332541.990540e-08
0.8346621.4332321.995641e-08
0.8368021.4332112.000756e-08
0.8389471.4331892.005884e-08
0.8410981.4331682.011025e-08
0.8432551.4331472.016179e-08
0.8454171.4331252.021346e-08
0.8475841.4331042.026527e-08
0.8497581.4330832.031721e-08
0.851.4330812.032300e-08
0.8519361.4330622.064761e-08
0.8541211.4330412.101379e-08
0.8563111.433022.138091e-08
0.8585061.4329992.174897e-08
0.8607071.4329782.211798e-08
0.8629141.4329572.248793e-08
0.8651271.4329362.285883e-08
0.8673451.4329152.323069e-08
0.8695691.4328952.360349e-08
0.8717981.4328742.397725e-08
0.8740331.4328532.435197e-08
0.8762741.4328332.472765e-08
0.8785211.4328122.510429e-08
0.8807741.4327922.548190e-08
0.8830321.4327712.586048e-08
0.8852961.4327512.624003e-08
0.8875661.4327312.662055e-08
0.8898421.432712.700205e-08
0.8921231.432692.738452e-08
0.8944111.432672.776798e-08
0.8967041.432652.815242e-08
0.8990031.432632.853784e-08
0.91.4326212.870500e-08
0.9013081.432612.894536e-08
0.9036191.4325892.937006e-08
0.9059361.4325692.979585e-08
0.9082581.4325493.022274e-08
0.9105871.432533.065071e-08
0.9129221.432513.107979e-08
0.9152631.432493.150996e-08
0.9176091.432473.194124e-08
0.9199621.432453.237362e-08
0.9223211.432433.280711e-08
0.9246861.4324113.324172e-08
0.9270561.4323913.367743e-08
0.9294331.4323713.411427e-08
0.9318161.4323523.455222e-08
0.9342061.4323323.499130e-08
0.9366011.4323123.543150e-08
0.9390021.4322933.587283e-08
0.941411.4322733.631530e-08
0.9438241.4322543.675890e-08
0.9462441.4322343.720363e-08
0.948671.4322153.764951e-08
0.951.4322043.789400e-08
0.9511021.4321963.793797e-08
0.9535411.4321763.803527e-08
0.9559851.4321573.813282e-08
0.9584371.4321383.823062e-08
0.9608941.4321183.832867e-08
0.9633581.4320993.842697e-08
0.9658281.432083.852552e-08
0.9683041.4320613.862433e-08
0.9707871.4320423.872339e-08
0.9732761.4320223.882270e-08
0.9757711.4320033.892227e-08
0.9782731.4319843.902210e-08
0.9807811.4319653.912218e-08
0.9832961.4319463.922251e-08
0.9858171.4319273.932311e-08
0.9883451.4319083.942396e-08
0.9908791.4318893.952507e-08
0.9934191.431873.962644e-08
0.9959671.4318513.972806e-08
0.998521.4318323.982995e-08
11.4318213.988900e-08
1.001081.4318133.993208e-08
1.003651.4317944.003445e-08
1.006221.4317754.013707e-08
1.00881.4317574.023996e-08
1.011391.4317384.034311e-08
1.013981.4317194.044652e-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
—