Optical constants

Refractive index of MP-NBFD130 (HOYA)

MP-NBFD130: 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
1.8061
Extinction coefficient k
4.67830e-09
Permittivity ε1
3.26198
Permittivity ε2
1.68989e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
40.731
Chromatic dispersion dn/dλ
-0.100969 µm⁻¹
Group index ng
1.86543
Group velocity dispersion
190.676 fs²/mm
Dispersion parameter D
-1040.24 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-NBFD130 (HOYA): MP-NBFD130
hoya_mp_nbfd130 = ls.fetch_refractiveindex("specs", "HOYA-optical", "MP-NBFD130", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hoya_mp_nbfd130.range_nm)  # (365.01, 1013.98) nm
eps = hoya_mp_nbfd130.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=3.173794−0.01498658⁢λ2.0+0.02906741⁢λ−2.0+0.001204829⁢λ−4.0−5.355158×10-5⁢λ−6.0+5.27135×10-6⁢λ−8.0

Valid from 0.36501 to 1.01398 µm.

Coefficients as stored
CiValue
C13.173794
C2-0.01498658
C32.0
C40.02906741
C5-2.0
C60.001204829
C7-4.0
C8-5.355158e-05
C9-6.0
C105.27135e-06
C11-8.0

Comments and conditions

Preforms for Precision molding

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 1.03293e-05 0.0 0.0 0.0 0.0 0.0
nd
1.80610
Vd
40.73
glass code
806407
glass status
standard
density
value: 4560
thermal expansion
value: 5.8e-06, temperature range: 243 343; value: 7.4e-06, temperature range: 293 573
dPgF
-0.0056
resistance
acid: 3.0; stain: 3.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 6.44e-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-NBFD130 (HOYA), MP-NBFD130: n and k versus wavelength
λ (µm)nk
0.365011.8579371.086766e-06
0.3659461.8574491.020856e-06
0.3668841.8569669.547771e-07
0.3678251.8564868.885288e-07
0.3687681.856018.221107e-07
0.3697131.8555377.555223e-07
0.371.8553957.353400e-07
0.3706611.8550687.150191e-07
0.3716121.8546036.858182e-07
0.3725651.8541416.565425e-07
0.373521.8536826.271917e-07
0.3744771.8532275.977656e-07
0.3754381.8527755.682641e-07
0.37641.8523275.386870e-07
0.3773651.8518825.090340e-07
0.3783331.851444.793050e-07
0.3793031.8510014.494997e-07
0.381.8506894.280800e-07
0.3802751.8505664.237898e-07
0.381251.8501334.086011e-07
0.3822281.8497043.933734e-07
0.3832081.8492783.781066e-07
0.384191.8488563.628007e-07
0.3851761.8484363.474556e-07
0.3861631.8480193.320711e-07
0.3871531.8476053.166472e-07
0.3881461.8471943.011837e-07
0.3891411.8467862.856806e-07
0.391.8464382.723000e-07
0.3901391.8463812.711134e-07
0.3911391.8459792.625618e-07
0.3921421.845582.539882e-07
0.3931471.8451842.453927e-07
0.3941551.844792.367752e-07
0.3951661.8443992.281356e-07
0.3961791.8440112.194738e-07
0.3971951.8436252.107898e-07
0.3982131.8432432.020835e-07
0.3992341.8428621.933550e-07
0.41.842581.868100e-07
0.4002581.8424851.858022e-07
0.4012841.842111.817942e-07
0.4023131.8417381.777759e-07
0.4033451.8413681.737473e-07
0.4043791.8410011.697084e-07
0.4054161.8406361.656591e-07
0.4064551.8402741.615995e-07
0.4074971.8399141.575294e-07
0.4085421.8395571.534489e-07
0.409591.8392021.493579e-07
0.410641.838851.452565e-07
0.4116931.83851.411445e-07
0.4127481.8381521.370220e-07
0.4138061.8378071.328889e-07
0.4148671.8374641.287452e-07
0.4159311.8371231.245909e-07
0.4169981.8367851.204259e-07
0.4180671.8364481.162503e-07
0.4191391.8361141.120640e-07
0.421.8358481.087000e-07
0.4202131.8357831.083332e-07
0.4212911.8354531.064808e-07
0.4223711.8351261.046236e-07
0.4234541.8348011.027616e-07
0.424541.8344771.008949e-07
0.4256281.8341569.902336e-08
0.4267191.8338389.714704e-08
0.4278131.8335219.526591e-08
0.428911.8332069.337996e-08
0.430011.8328939.148917e-08
0.4311131.8325838.959353e-08
0.4322181.8322748.769303e-08
0.4333261.8319688.578766e-08
0.4344371.8316638.387740e-08
0.4355511.831368.196225e-08
0.4366681.831068.004218e-08
0.4377871.8307617.811720e-08
0.438911.8304647.618727e-08
0.441.8301787.431300e-08
0.4400351.8301697.427299e-08
0.4411631.8298767.299227e-08
0.4422951.8295847.170827e-08
0.4434291.8292957.042098e-08
0.4445661.8290086.913039e-08
0.4457051.8287226.783648e-08
0.4468481.8284386.653926e-08
0.4479941.8281566.523872e-08
0.4491431.8278756.393484e-08
0.4502941.8275976.262761e-08
0.4514491.827326.131704e-08
0.4526061.8270456.000310e-08
0.4537671.8267715.868580e-08
0.454931.82655.736512e-08
0.4560971.826235.604105e-08
0.4572661.8259625.471358e-08
0.4584381.8256955.338272e-08
0.4596141.825435.204844e-08
0.461.8253435.161000e-08
0.4607921.8251675.078101e-08
0.4619741.8249054.954467e-08
0.4631581.8246454.830517e-08
0.4643461.8243864.706248e-08
0.4655361.8241294.581661e-08
0.466731.8238744.456755e-08
0.4679271.823624.331529e-08
0.4691261.8233684.205981e-08
0.4703291.8231174.080111e-08
0.4715351.8228683.953919e-08
0.4727441.8226213.827403e-08
0.4739561.8223743.700563e-08
0.4751711.822133.573397e-08
0.476391.8218873.445906e-08
0.4776111.8216453.318088e-08
0.4788361.8214053.189942e-08
0.481.8211783.068100e-08
0.4800631.8211663.063430e-08
0.4812941.8209292.972752e-08
0.4825281.8206932.881842e-08
0.4837651.8204582.790698e-08
0.4850061.8202252.699321e-08
0.4862491.8199942.607710e-08
0.4874961.8197632.515863e-08
0.4887461.8195342.423781e-08
0.4899991.8193072.331463e-08
0.4912551.8190812.238909e-08
0.4925151.8188562.146117e-08
0.4937781.8186322.053087e-08
0.4950441.818411.959818e-08
0.4963131.8181891.866311e-08
0.4975861.8179691.772563e-08
0.4988611.8177511.678576e-08
0.51.8175581.594700e-08
0.5001411.8175341.591449e-08
0.5014231.8173181.561780e-08
0.5027091.8171041.532036e-08
0.5039971.8168911.502215e-08
0.505291.8166791.472318e-08
0.5065851.8164681.442344e-08
0.5078841.8162581.412294e-08
0.5091861.816051.382166e-08
0.5104921.8158431.351961e-08
0.5118011.8156371.321679e-08
0.5131131.8154321.291319e-08
0.5144291.8152291.260881e-08
0.5157481.8150271.230365e-08
0.517071.8148251.199771e-08
0.5183961.8146251.169099e-08
0.5197251.8144271.138347e-08
0.5210571.8142291.107517e-08
0.5223931.8140321.076608e-08
0.5237331.8138371.045620e-08
0.5250761.8136431.014552e-08
0.5264221.8134499.834046e-09
0.5277721.8132579.521773e-09
0.5291251.8130669.208699e-09
0.5304811.8128768.894822e-09
0.5318421.8126878.580141e-09
0.5332051.81258.264653e-09
0.5345721.8123137.948356e-09
0.5359431.8121277.631248e-09
0.5373171.8119427.313327e-09
0.5386951.8117596.994591e-09
0.5400761.8115766.675037e-09
0.5414611.8113956.354664e-09
0.5428491.8112146.033470e-09
0.5442411.8110355.711452e-09
0.5456361.8108565.388609e-09
0.5470351.8106795.064938e-09
0.5484381.8105024.740437e-09
0.5498441.8103274.415104e-09
0.551.8103074.379000e-09
0.5512541.8101524.388980e-09
0.5526671.8099794.400230e-09
0.5540841.8098064.411510e-09
0.5555051.8096344.422818e-09
0.5569291.8094644.434156e-09
0.5583571.8092944.445522e-09
0.5597891.8091254.456918e-09
0.5612241.8089574.468343e-09
0.5626631.808794.479797e-09
0.5641061.8086244.491280e-09
0.5655521.8084594.502793e-09
0.5670021.8082954.514336e-09
0.5684561.8081314.525908e-09
0.5699131.8079694.537509e-09
0.5713741.8078074.549141e-09
0.5728391.8076464.560802e-09
0.5743081.8074874.572493e-09
0.5757811.8073284.584214e-09
0.5772571.8071694.595966e-09
0.5787371.8070124.607747e-09
0.5802211.8068564.619558e-09
0.5817091.80674.631400e-09
0.58321.8065454.643272e-09
0.5846951.8063914.655175e-09
0.5861951.8062384.667108e-09
0.5876971.8060864.679072e-09
0.5892041.8059354.691066e-09
0.5907151.8057844.703092e-09
0.592231.8056344.715148e-09
0.5937481.8054854.727235e-09
0.595271.8053374.739352e-09
0.5967971.8051894.751501e-09
0.5983271.8050434.763682e-09
0.5998611.8048974.775893e-09
0.61.8048834.777000e-09
0.6013991.8047514.788138e-09
0.6029411.8046074.800416e-09
0.6044871.8044634.812724e-09
0.6060371.804324.825064e-09
0.6075911.8041784.837436e-09
0.6091481.8040374.849840e-09
0.610711.8038964.862275e-09
0.6122761.8037564.874742e-09
0.6138461.8036174.887241e-09
0.615421.8034794.899773e-09
0.6169981.8033414.912336e-09
0.618581.8032044.924932e-09
0.6201661.8030674.937560e-09
0.6217561.8029324.950220e-09
0.623351.8027974.962913e-09
0.6249481.8026624.975638e-09
0.6265511.8025294.988396e-09
0.6281571.8023965.001186e-09
0.6297681.8022645.014010e-09
0.6313821.8021325.026866e-09
0.6330011.8020015.039755e-09
0.6346241.8018715.052677e-09
0.6362511.8017415.065633e-09
0.6378831.8016135.078621e-09
0.6395181.8014845.091643e-09
0.6411581.8013575.104699e-09
0.6428021.801235.117788e-09
0.644451.8011035.130910e-09
0.6461021.8009785.144066e-09
0.6477591.8008535.157256e-09
0.649421.8007285.170479e-09
0.651.8006855.175100e-09
0.6510851.8006045.183737e-09
0.6527541.8004815.197028e-09
0.6544281.8003585.210354e-09
0.6561061.8002365.223713e-09
0.6577881.8001155.237107e-09
0.6594741.7999945.250535e-09
0.6611651.7998745.263998e-09
0.6628611.7997545.277495e-09
0.664561.7996355.291027e-09
0.6662641.7995175.304594e-09
0.6679721.7993995.318195e-09
0.6696851.7992815.331831e-09
0.6714021.7991655.345502e-09
0.6731231.7990485.359209e-09
0.6748491.7989335.372950e-09
0.676581.7988185.386727e-09
0.6783141.7987035.400539e-09
0.6800531.7985895.414386e-09
0.6817971.7984765.428269e-09
0.6835451.7983635.442187e-09
0.6852981.798255.456141e-09
0.6870551.7981385.470131e-09
0.6888161.7980275.484157e-09
0.6905831.7979165.498219e-09
0.6923531.7978065.512316e-09
0.6941281.7976965.526450e-09
0.6959081.7975875.540620e-09
0.6976921.7974785.554827e-09
0.6994811.797375.569070e-09
0.71.7973395.573200e-09
0.7012751.7972626.499952e-09
0.7030731.7971557.807196e-09
0.7048751.7970489.117791e-09
0.7066831.7969421.043175e-08
0.7084951.7968361.174907e-08
0.7103111.7967311.306977e-08
0.7121321.7966261.439386e-08
0.7139581.7965221.572135e-08
0.7157891.7964181.705223e-08
0.7176241.7963141.838653e-08
0.7194641.7962111.972425e-08
0.7213091.7961092.106540e-08
0.7231581.7960072.240999e-08
0.7250121.7959052.375803e-08
0.7268711.7958042.510952e-08
0.7287351.7957042.646448e-08
0.7306031.7956032.782291e-08
0.7324771.7955042.918483e-08
0.7343551.7954043.055023e-08
0.7362371.7953053.191914e-08
0.7381251.7952073.329156e-08
0.7400181.7951093.466750e-08
0.7419151.7950113.604696e-08
0.7438171.7949143.742996e-08
0.7457241.7948173.881651e-08
0.7476361.7947214.020661e-08
0.7495531.7946254.160028e-08
0.751.7946034.192500e-08
0.7514751.7945294.231499e-08
0.7534021.7944344.282436e-08
0.7553341.794344.333504e-08
0.757271.7942454.384703e-08
0.7592121.7941514.436032e-08
0.7611591.7940584.487494e-08
0.763111.7939654.539087e-08
0.7650671.7938724.590813e-08
0.7670281.793784.642671e-08
0.7689951.7936884.694663e-08
0.7709671.7935964.746787e-08
0.7729431.7935054.799045e-08
0.7749251.7934144.851438e-08
0.7769121.7933234.903964e-08
0.7789041.7932334.956625e-08
0.781.7931844.985600e-08
0.7809011.7931444.962460e-08
0.7829031.7930544.911044e-08
0.7849111.7929654.859495e-08
0.7869231.7928764.807814e-08
0.7889411.7927884.756001e-08
0.7909641.79274.704055e-08
0.7929921.7926124.651976e-08
0.7950251.7925254.599764e-08
0.7970631.7924384.547417e-08
0.7991071.7923524.494936e-08
0.81.7923144.472000e-08
0.8011561.7922654.529760e-08
0.803211.7921794.632419e-08
0.8052691.7920944.735341e-08
0.8073341.7920084.838527e-08
0.8094041.7919234.941977e-08
0.8114791.7918395.045693e-08
0.813561.7917545.149675e-08
0.8156461.791675.253923e-08
0.8177371.7915875.358439e-08
0.8198341.7915035.463223e-08
0.8219361.791425.568275e-08
0.8240431.7913385.673596e-08
0.8261561.7912555.779188e-08
0.8282741.7911735.885051e-08
0.831.7911065.971300e-08
0.8303981.7910915.974163e-08
0.8325271.7910095.989482e-08
0.8346621.7909286.004840e-08
0.8368021.7908476.020238e-08
0.8389471.7907676.035675e-08
0.8410981.7906866.051151e-08
0.8432551.7906066.066668e-08
0.8454171.7905266.082224e-08
0.8475841.7904476.097820e-08
0.8497581.7903676.113456e-08
0.851.7903586.115200e-08
0.8519361.7902886.129134e-08
0.8541211.7902096.144852e-08
0.8563111.7901316.160611e-08
0.8585061.7900536.176410e-08
0.8607071.7899756.192250e-08
0.8629141.7898976.208130e-08
0.8651271.789826.224051e-08
0.8673451.7897426.240013e-08
0.8695691.7896666.256016e-08
0.8717981.7895896.272060e-08
0.8740331.7895126.288145e-08
0.8762741.7894366.304271e-08
0.8785211.789366.320439e-08
0.8807741.7892856.336648e-08
0.8830321.7892096.352898e-08
0.8852961.7891346.369190e-08
0.8875661.7890596.385524e-08
0.8898421.7889846.401900e-08
0.8921231.788916.418318e-08
0.8944111.7888356.434778e-08
0.8967041.7887616.451280e-08
0.8990031.7886876.467825e-08
0.91.7886556.475000e-08
0.9013081.7886146.464464e-08
0.9036191.788546.445847e-08
0.9059361.7884676.427182e-08
0.9082581.7883946.408470e-08
0.9105871.7883216.389710e-08
0.9129221.7882496.370901e-08
0.9152631.7881766.352044e-08
0.9176091.7881046.333139e-08
0.9199621.7880326.314186e-08
0.9223211.7879616.295184e-08
0.9246861.7878896.276133e-08
0.9270561.7878186.257033e-08
0.9294331.7877476.237885e-08
0.9318161.7876766.218687e-08
0.9342061.7876056.199440e-08
0.9366011.7875346.180144e-08
0.9390021.7874646.160798e-08
0.941411.7873946.141402e-08
0.9438241.7873246.121957e-08
0.9462441.7872546.102462e-08
0.948671.7871846.082917e-08
0.951.7871466.072200e-08
0.9511021.7871146.079244e-08
0.9535411.7870456.094831e-08
0.9559851.7869766.110459e-08
0.9584371.7869076.126126e-08
0.9608941.7868386.141834e-08
0.9633581.7867696.157582e-08
0.9658281.7867016.173370e-08
0.9683041.7866336.189199e-08
0.9707871.7865646.205069e-08
0.9732761.7864966.220979e-08
0.9757711.7864296.236930e-08
0.9782731.7863616.252922e-08
0.9807811.7862936.268954e-08
0.9832961.7862266.285028e-08
0.9858171.7861596.301143e-08
0.9883451.7860916.317300e-08
0.9908791.7860246.333498e-08
0.9934191.7859586.349737e-08
0.9959671.7858916.366018e-08
0.998521.7858246.382341e-08
11.7857866.391800e-08
1.001081.7857586.380515e-08
1.003651.7856926.353703e-08
1.006221.7856256.326822e-08
1.00881.7855596.299872e-08
1.011391.7854936.272853e-08
1.013981.7854286.245765e-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
—