Optical constants

Refractive index of MC-NBFD135 (HOYA)

MC-NBFD135: 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
1.80834
Extinction coefficient k
4.67830e-09
Permittivity ε1
3.27008
Permittivity ε2
1.69199e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
40.921
Chromatic dispersion dn/dλ
-0.100797 µm⁻¹
Group index ng
1.86756
Group velocity dispersion
190.378 fs²/mm
Dispersion parameter D
-1038.61 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

# MC-NBFD135 (HOYA): MC-NBFD135
hoya_mc_nbfd135 = ls.fetch_refractiveindex("specs", "HOYA-optical", "MC-NBFD135", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hoya_mc_nbfd135.range_nm)  # (365.01, 1013.98) nm
eps = hoya_mc_nbfd135.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=3.1819698−0.014926522⁢λ2.0+0.028987649⁢λ−2.0+0.0012223654⁢λ−4.0−5.2916688×10-5⁢λ−6.0+4.7807227×10-6⁢λ−8.0

Valid from 0.36501 to 1.01398 µm.

Coefficients as stored
CiValue
C13.1819698
C2-0.014926522
C32.0
C40.028987649
C5-2.0
C60.0012223654
C7-4.0
C8-5.2916688e-05
C9-6.0
C104.7807227e-06
C11-8.0

Comments and conditions

Preforms for Precision molding

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 9.98837e-06 0.0 0.0 0.0 0.0 0.0
nd
1.80834
Vd
40.92
glass code
808409
glass status
standard
density
value: 4670
thermal expansion
value: 6.2e-06, temperature range: 243 343; value: 8e-06, temperature range: 293 573
dPgF
-0.0061
resistance
acid: 3.0; stain: 3.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 6.24e-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
MC-NBFD135 (HOYA), MC-NBFD135: n and k versus wavelength
λ (µm)nk
0.365011.8598967.267814e-07
0.3659461.8594156.815197e-07
0.3668841.8589376.361420e-07
0.3678251.8584635.906479e-07
0.3687681.8579925.450372e-07
0.3697131.8575254.993096e-07
0.371.8573854.854500e-07
0.3706611.8570624.713287e-07
0.3716121.8566014.510365e-07
0.3725651.8561454.306923e-07
0.373521.8556914.102960e-07
0.3744771.8552413.898473e-07
0.3754381.8547943.693462e-07
0.37641.854353.487926e-07
0.3773651.853913.281862e-07
0.3783331.8534723.075271e-07
0.3793031.8530382.868149e-07
0.381.8527292.719300e-07
0.3802751.8526072.692762e-07
0.381251.8521792.598810e-07
0.3822281.8517542.504617e-07
0.3832081.8513322.410182e-07
0.384191.8509132.315505e-07
0.3851761.8504972.220586e-07
0.3861631.8500842.125423e-07
0.3871531.8496742.030016e-07
0.3881461.8492671.934364e-07
0.3891411.8488631.838467e-07
0.391.8485171.755700e-07
0.3901391.8484611.747988e-07
0.3911391.8480621.692411e-07
0.3921421.8476661.636692e-07
0.3931471.8472731.580830e-07
0.3941551.8468831.524824e-07
0.3951661.8464951.468675e-07
0.3961791.846111.412382e-07
0.3971951.8457271.355945e-07
0.3982131.8453471.299363e-07
0.3992341.844971.242636e-07
0.41.8446891.200100e-07
0.4002581.8445951.194209e-07
0.4012841.8442231.170780e-07
0.4023131.8438531.147290e-07
0.4033451.8434861.123741e-07
0.4043791.8431221.100131e-07
0.4054161.8427591.076460e-07
0.4064551.84241.052729e-07
0.4074971.8420421.028937e-07
0.4085421.8416871.005084e-07
0.409591.8413359.811700e-08
0.410641.8409859.571945e-08
0.4116931.8406379.331576e-08
0.4127481.8402919.090590e-08
0.4138061.8399488.848986e-08
0.4148671.8396078.606763e-08
0.4159311.8392688.363919e-08
0.4169981.8389328.120452e-08
0.4180671.8385977.876361e-08
0.4191391.8382657.631644e-08
0.421.8387.435000e-08
0.4202131.8379357.412142e-08
0.4212911.8376077.296692e-08
0.4223711.8372827.180946e-08
0.4234541.8369587.064903e-08
0.424541.8366376.948562e-08
0.4256281.8363176.831923e-08
0.4267191.8366.714985e-08
0.4278131.8356856.597748e-08
0.428911.8353726.480209e-08
0.430011.8350616.362370e-08
0.4311131.8347516.244228e-08
0.4322181.8344446.125783e-08
0.4333261.8341396.007035e-08
0.4344371.8338365.887982e-08
0.4355511.8335345.768624e-08
0.4366681.8332355.648960e-08
0.4377871.8329375.528989e-08
0.438911.8326425.408710e-08
0.441.8323575.291900e-08
0.4400351.8323485.289709e-08
0.4411631.8320565.219590e-08
0.4422951.8317665.149290e-08
0.4434291.8314785.078810e-08
0.4445661.8311925.008149e-08
0.4457051.8309074.937308e-08
0.4468481.8306244.866284e-08
0.4479941.8303434.795079e-08
0.4491431.8300644.723691e-08
0.4502941.8297864.652120e-08
0.4514491.829514.580365e-08
0.4526061.8292364.508426e-08
0.4537671.8289644.436303e-08
0.454931.8286934.363995e-08
0.4560971.8284244.291502e-08
0.4572661.8281574.218823e-08
0.4584381.8278914.145957e-08
0.4596141.8276274.072905e-08
0.461.827544.048900e-08
0.4607921.8273643.979575e-08
0.4619741.8271033.876186e-08
0.4631581.8268443.772531e-08
0.4643461.8265863.668611e-08
0.4655361.826333.564425e-08
0.466731.8260763.459971e-08
0.4679271.8258233.355250e-08
0.4691261.8255713.250260e-08
0.4703291.8253213.145000e-08
0.4715351.8250733.039471e-08
0.4727441.8248262.933672e-08
0.4739561.824582.827601e-08
0.4751711.8243362.721258e-08
0.476391.8240942.614642e-08
0.4776111.8238532.507754e-08
0.4788361.8236132.400591e-08
0.481.8233882.298700e-08
0.4800631.8233752.297736e-08
0.4812941.8231392.279008e-08
0.4825281.8229032.260232e-08
0.4837651.8226692.241408e-08
0.4850061.8224372.222536e-08
0.4862491.8222062.203616e-08
0.4874961.8219762.184647e-08
0.4887461.8217482.165629e-08
0.4899991.8215212.146563e-08
0.4912551.8212952.127448e-08
0.4925151.8210712.108284e-08
0.4937781.8208482.089070e-08
0.4950441.8206262.069808e-08
0.4963131.8204062.050495e-08
0.4975861.8201862.031134e-08
0.4988611.8199692.011723e-08
0.51.8197761.994400e-08
0.5001411.8197521.990025e-08
0.5014231.8195371.950106e-08
0.5027091.8193231.910084e-08
0.5039971.819111.869960e-08
0.505291.8188981.829733e-08
0.5065851.8186881.789402e-08
0.5078841.8184791.748968e-08
0.5091861.8182711.708431e-08
0.5104921.8180651.667790e-08
0.5118011.8178591.627044e-08
0.5131131.8176551.586194e-08
0.5144291.8174521.545239e-08
0.5157481.817251.504179e-08
0.517071.8170491.463014e-08
0.5183961.8168491.421744e-08
0.5197251.8166511.380367e-08
0.5210571.8164541.338885e-08
0.5223931.8162571.297296e-08
0.5237331.8160621.255600e-08
0.5250761.8158681.213798e-08
0.5264221.8156761.171888e-08
0.5277721.8154841.129871e-08
0.5291251.8152931.087747e-08
0.5304811.8151041.045514e-08
0.5318421.8149151.003173e-08
0.5332051.8147289.607232e-09
0.5345721.8145419.181647e-09
0.5359431.8143568.754971e-09
0.5373171.8141728.327202e-09
0.5386951.8139887.898335e-09
0.5400761.8138067.468369e-09
0.5414611.8136257.037300e-09
0.5428491.8134456.605126e-09
0.5442411.8132666.171844e-09
0.5456361.8130875.737451e-09
0.5470351.812915.301945e-09
0.5484381.8127344.865321e-09
0.5498441.8125594.427579e-09
0.551.8125394.379000e-09
0.5512541.8123844.388980e-09
0.5526671.8122114.400230e-09
0.5540841.8120394.411510e-09
0.5555051.8118684.422818e-09
0.5569291.8116974.434156e-09
0.5583571.8115284.445522e-09
0.5597891.8113594.456918e-09
0.5612241.8111914.468343e-09
0.5626631.8110254.479797e-09
0.5641061.8108594.491280e-09
0.5655521.8106944.502793e-09
0.5670021.810534.514336e-09
0.5684561.8103674.525908e-09
0.5699131.8102054.537509e-09
0.5713741.8100434.549141e-09
0.5728391.8098834.560802e-09
0.5743081.8097234.572493e-09
0.5757811.8095654.584214e-09
0.5772571.8094074.595966e-09
0.5787371.809254.607747e-09
0.5802211.8090944.619558e-09
0.5817091.8089384.631400e-09
0.58321.8087844.643272e-09
0.5846951.808634.655175e-09
0.5861951.8084774.667108e-09
0.5876971.8083254.679072e-09
0.5892041.8081744.691066e-09
0.5907151.8080244.703092e-09
0.592231.8078744.715148e-09
0.5937481.8077254.727235e-09
0.595271.8075774.739352e-09
0.5967971.807434.751501e-09
0.5983271.8072844.763682e-09
0.5998611.8071384.775893e-09
0.61.8071254.777000e-09
0.6013991.8069934.788138e-09
0.6029411.8068494.800416e-09
0.6044871.8067054.812724e-09
0.6060371.8065634.825064e-09
0.6075911.8064214.837436e-09
0.6091481.806284.849840e-09
0.610711.8061394.862275e-09
0.6122761.8064.874742e-09
0.6138461.8058614.887241e-09
0.615421.8057224.899773e-09
0.6169981.8055854.912336e-09
0.618581.8054484.924932e-09
0.6201661.8053124.937560e-09
0.6217561.8051764.950220e-09
0.623351.8050424.962913e-09
0.6249481.8049084.975638e-09
0.6265511.8047744.988396e-09
0.6281571.8046425.001186e-09
0.6297681.804515.014010e-09
0.6313821.8043785.026866e-09
0.6330011.8042485.039755e-09
0.6346241.8041185.052677e-09
0.6362511.8039885.065633e-09
0.6378831.803865.078621e-09
0.6395181.8037325.091643e-09
0.6411581.8036045.104699e-09
0.6428021.8034775.117788e-09
0.644451.8033515.130910e-09
0.6461021.8032265.144066e-09
0.6477591.8031015.157256e-09
0.649421.8029775.170479e-09
0.651.8029345.175100e-09
0.6510851.8028535.183737e-09
0.6527541.802735.197028e-09
0.6544281.8026085.210354e-09
0.6561061.8024865.223713e-09
0.6577881.8023655.237107e-09
0.6594741.8022445.250535e-09
0.6611651.8021245.263998e-09
0.6628611.8020055.277495e-09
0.664561.8018865.291027e-09
0.6662641.8017685.304594e-09
0.6679721.801655.318195e-09
0.6696851.8015335.331831e-09
0.6714021.8014165.345502e-09
0.6731231.80135.359209e-09
0.6748491.8011855.372950e-09
0.676581.801075.386727e-09
0.6783141.8009565.400539e-09
0.6800531.8008425.414386e-09
0.6817971.8007295.428269e-09
0.6835451.8006165.442187e-09
0.6852981.8005045.456141e-09
0.6870551.8003925.470131e-09
0.6888161.8002815.484157e-09
0.6905831.800175.498219e-09
0.6923531.800065.512316e-09
0.6941281.7999515.526450e-09
0.6959081.7998425.540620e-09
0.6976921.7997335.554827e-09
0.6994811.7996255.569070e-09
0.71.7995945.573200e-09
0.7012751.7995185.583349e-09
0.7030731.7994115.597665e-09
0.7048751.7993045.612018e-09
0.7066831.7991985.626407e-09
0.7084951.7990925.640834e-09
0.7103111.7989875.655297e-09
0.7121321.7988835.669798e-09
0.7139581.7987795.684336e-09
0.7157891.7986755.698911e-09
0.7176241.7985725.713523e-09
0.7194641.7984695.728173e-09
0.7213091.7983675.742860e-09
0.7231581.7982655.757585e-09
0.7250121.7981645.772348e-09
0.7268711.7980635.787148e-09
0.7287351.7979635.801987e-09
0.7306031.7978635.816864e-09
0.7324771.7977635.831778e-09
0.7343551.7976645.846731e-09
0.7362371.7975655.861723e-09
0.7381251.7974675.876752e-09
0.7400181.7973695.891821e-09
0.7419151.7972725.906928e-09
0.7438171.7971755.922073e-09
0.7457241.7970785.937258e-09
0.7476361.7969825.952481e-09
0.7495531.7968865.967744e-09
0.751.7968645.971300e-09
0.7514751.7967916.288747e-09
0.7534021.7966966.703366e-09
0.7553341.7966027.119048e-09
0.757271.7965087.535796e-09
0.7592121.7964147.953612e-09
0.7611591.7963218.372500e-09
0.763111.7962288.792462e-09
0.7650671.7961359.213500e-09
0.7670281.7960439.635618e-09
0.7689951.7959511.005882e-08
0.7709671.795861.048310e-08
0.7729431.7957691.090848e-08
0.7749251.7956781.133494e-08
0.7769121.7955881.176250e-08
0.7789041.7954981.219115e-08
0.781.7954491.242700e-08
0.7809011.7954081.215408e-08
0.7829031.7953191.154765e-08
0.7849111.7952311.093967e-08
0.7869231.7951421.033013e-08
0.7889411.7950549.719023e-09
0.7909641.7949669.106352e-09
0.7929921.7948798.492110e-09
0.7950251.7947927.876293e-09
0.7970631.7947057.258897e-09
0.7991071.7946196.639918e-09
0.81.7945816.369400e-09
0.8011561.7945336.633431e-09
0.803211.7944477.102705e-09
0.8052691.7943617.573183e-09
0.8073341.7942768.044867e-09
0.8094041.7941928.517760e-09
0.8114791.7941078.991866e-09
0.813561.7940239.467187e-09
0.8156461.7939399.943728e-09
0.8177371.7938561.042149e-08
0.8198341.7937731.090048e-08
0.8219361.793691.138069e-08
0.8240431.7936071.186214e-08
0.8261561.7935251.234482e-08
0.8282741.7934431.282874e-08
0.831.7933771.322300e-08
0.8303981.7933611.309458e-08
0.8325271.793281.240735e-08
0.8346621.7931991.171837e-08
0.8368021.7931181.102761e-08
0.8389471.7930381.033509e-08
0.8410981.7929589.640788e-09
0.8432551.7928788.944708e-09
0.8454171.7927988.246844e-09
0.8475841.7927197.547190e-09
0.8497581.792646.845742e-09
0.851.7926316.767500e-09
0.8519361.7925616.782917e-09
0.8541211.7924826.800309e-09
0.8563111.7924046.817745e-09
0.8585061.7923266.835226e-09
0.8607071.7922486.852752e-09
0.8629141.7921716.870323e-09
0.8651271.7920946.887939e-09
0.8673451.7920176.905599e-09
0.8695691.791946.923306e-09
0.8717981.7918646.941057e-09
0.8740331.7917876.958855e-09
0.8762741.7917116.976697e-09
0.8785211.7916366.994586e-09
0.8807741.791567.012520e-09
0.8830321.7914857.030501e-09
0.8852961.791417.048527e-09
0.8875661.7913357.066600e-09
0.8898421.7912617.084719e-09
0.8921231.7911867.102884e-09
0.8944111.7911127.121096e-09
0.8967041.7910387.139355e-09
0.8990031.7909657.157661e-09
0.91.7909337.165600e-09
0.9013081.7908917.176011e-09
0.9036191.7908187.194406e-09
0.9059361.7907457.212848e-09
0.9082581.7906737.231337e-09
0.9105871.79067.249874e-09
0.9129221.7905287.268458e-09
0.9152631.7904567.287090e-09
0.9176091.7903847.305770e-09
0.9199621.7903127.324498e-09
0.9223211.790247.343273e-09
0.9246861.7901697.362097e-09
0.9270561.7900987.380969e-09
0.9294331.7900277.399890e-09
0.9318161.7899567.418859e-09
0.9342061.7898867.437876e-09
0.9366011.7898157.456943e-09
0.9390021.7897457.476058e-09
0.941411.7896757.495222e-09
0.9438241.7896057.514436e-09
0.9462441.7895367.533698e-09
0.948671.7894667.553010e-09
0.951.7894287.563600e-09
0.9511021.7893977.572374e-09
0.9535411.7893287.591790e-09
0.9559851.7892597.611256e-09
0.9584371.789197.630772e-09
0.9608941.7891227.650338e-09
0.9633581.7890537.669954e-09
0.9658281.7889857.689620e-09
0.9683041.7889177.709337e-09
0.9707871.7888497.729104e-09
0.9732761.7887817.748922e-09
0.9757711.7887137.768791e-09
0.9782731.7886467.788710e-09
0.9807811.7885797.808681e-09
0.9832961.7885117.828703e-09
0.9858171.7884447.848776e-09
0.9883451.7883787.868901e-09
0.9908791.7883117.889077e-09
0.9934191.7882447.909306e-09
0.9959671.7881787.929586e-09
0.998521.7881117.949918e-09
11.7880737.961700e-09
1.001081.7880457.970302e-09
1.003651.7879797.990738e-09
1.006221.7879138.011227e-09
1.00881.7878478.031768e-09
1.011391.7877828.052362e-09
1.013981.7877168.073009e-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
—