Optical constants

Refractive index of NBF1 (HOYA)

NBF1: 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
1.7433
Extinction coefficient k
4.67830e-09
Permittivity ε1
3.03908
Permittivity ε2
1.63113e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
49.222
Chromatic dispersion dn/dλ
-0.077754 µm⁻¹
Group index ng
1.78898
Group velocity dispersion
140.04 fs²/mm
Dispersion parameter D
-763.994 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

# NBF1 (HOYA): NBF1
hoya_nbf1 = ls.fetch_refractiveindex("specs", "HOYA-optical", "NBF1", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hoya_nbf1.range_nm)  # (365.01, 1013.98) nm
eps = hoya_nbf1.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=2.9753491−0.01461347⁢λ2.0+0.021096383⁢λ−2.0+0.001198038⁢λ−4.0−0.00011887388⁢λ−6.0+7.344435×10-6⁢λ−8.0

Valid from 0.36501 to 1.01398 µm.

Coefficients as stored
CiValue
C12.9753491
C2-0.01461347
C32.0
C40.021096383
C5-2.0
C60.001198038
C7-4.0
C8-0.00011887388
C9-6.0
C107.344435e-06
C11-8.0

Comments and conditions

General glass Type

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 1.08987e-05 0.0 0.0 0.0 0.0 0.0
nd
1.74330
Vd
49.22
glass code
743492
density
value: 4170
thermal expansion
value: 5.3e-06, temperature range: 243 343; value: 6.8e-06, temperature range: 293 573
dPgF
-0.0103
resistance
acid: 4.0; stain: 4.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 6.35e-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
NBF1 (HOYA), NBF1: n and k versus wavelength
λ (µm)nk
0.365011.781092.340173e-07
0.3659461.7807492.225360e-07
0.3668841.7804112.110253e-07
0.3678251.7800761.994850e-07
0.3687681.7797431.879152e-07
0.3697131.7794121.763157e-07
0.371.7793121.728000e-07
0.3706611.7790831.687042e-07
0.3716121.7787571.628186e-07
0.3725651.7784331.569179e-07
0.373521.7781111.510021e-07
0.3744771.7777921.450711e-07
0.3754381.7774751.391249e-07
0.37641.777161.331635e-07
0.3773651.7768471.271867e-07
0.3783331.7765361.211947e-07
0.3793031.7762281.151873e-07
0.381.7760081.108700e-07
0.3802751.7759211.098054e-07
0.381251.7756171.060365e-07
0.3822281.7753141.022579e-07
0.3832081.7750149.846968e-08
0.384191.7747169.467170e-08
0.3851761.774429.086398e-08
0.3861631.7741258.704650e-08
0.3871531.7738338.321923e-08
0.3881461.7735427.938215e-08
0.3891411.7732547.553523e-08
0.391.7730077.221500e-08
0.3901391.7729677.192526e-08
0.3911391.7726826.983723e-08
0.3921421.7723996.774384e-08
0.3931471.7721186.564509e-08
0.3941551.7718396.354095e-08
0.3951661.7715616.143142e-08
0.3961791.7712855.931648e-08
0.3971951.7710115.719612e-08
0.3982131.7707395.507032e-08
0.3992341.7704695.293907e-08
0.41.7702675.134100e-08
0.4002581.77025.106844e-08
0.4012841.7699334.998447e-08
0.4023131.7696674.889771e-08
0.4033451.7694034.780817e-08
0.4043791.7691414.671584e-08
0.4054161.7688814.562070e-08
0.4064551.7686224.452276e-08
0.4074971.7683654.342200e-08
0.4085421.7681094.231842e-08
0.409591.7678554.121201e-08
0.410641.7676024.010277e-08
0.4116931.7673513.899067e-08
0.4127481.7671023.787573e-08
0.4138061.7668543.675793e-08
0.4148671.7666073.563727e-08
0.4159311.7663623.451373e-08
0.4169981.7661193.338730e-08
0.4180671.7658773.225800e-08
0.4191391.7656363.112579e-08
0.421.7654453.021600e-08
0.4202131.7653973.008092e-08
0.4212911.765162.939865e-08
0.4223711.7649232.871462e-08
0.4234541.7646892.802885e-08
0.424541.7644552.734132e-08
0.4256281.7642232.665202e-08
0.4267191.7639922.596096e-08
0.4278131.7637632.526812e-08
0.428911.7635352.457351e-08
0.430011.7633092.387712e-08
0.4311131.7630832.317894e-08
0.4322181.7628592.247897e-08
0.4333261.7626372.177721e-08
0.4344371.7624152.107364e-08
0.4355511.7621952.036828e-08
0.4366681.7619761.966110e-08
0.4377871.7617591.895211e-08
0.438911.7615431.824131e-08
0.441.7613341.755100e-08
0.4400351.7613281.753945e-08
0.4411631.7611141.716979e-08
0.4422951.7609011.679917e-08
0.4434291.760691.642761e-08
0.4445661.760481.605509e-08
0.4457051.7602711.568162e-08
0.4468481.7600631.530719e-08
0.4479941.7598571.493180e-08
0.4491431.7596511.455544e-08
0.4502941.7594471.417813e-08
0.4514491.7592441.379984e-08
0.4526061.7590421.342059e-08
0.4537671.7588421.304036e-08
0.454931.7586421.265916e-08
0.4560971.7584441.227698e-08
0.4572661.7582461.189382e-08
0.4584381.758051.150968e-08
0.4596141.7578551.112455e-08
0.461.7577911.099800e-08
0.4607921.7576611.071374e-08
0.4619741.7574681.028981e-08
0.4631581.7572769.864797e-09
0.4643461.7570859.438690e-09
0.4655361.7568969.011491e-09
0.466731.7567078.583196e-09
0.4679271.7565198.153803e-09
0.4691261.7563337.723310e-09
0.4703291.7561477.291712e-09
0.4715351.7559636.859008e-09
0.4727441.7557796.425195e-09
0.4739561.7555975.990269e-09
0.4751711.7554155.554228e-09
0.476391.7552355.117069e-09
0.4776111.7550554.678789e-09
0.4788361.7548774.239386e-09
0.481.7547083.821600e-09
0.4800631.7546993.822105e-09
0.4812941.7545233.831909e-09
0.4825281.7543473.841738e-09
0.4837651.7541733.851592e-09
0.4850061.7539993.861471e-09
0.4862491.7538263.871376e-09
0.4874961.7536553.881306e-09
0.4887461.7534843.891262e-09
0.4899991.7533143.901243e-09
0.4912551.7531453.911250e-09
0.4925151.7529773.921282e-09
0.4937781.752813.931340e-09
0.4950441.7526433.941424e-09
0.4963131.7524783.951534e-09
0.4975861.7523143.961670e-09
0.4988611.752153.971832e-09
0.51.7520053.980900e-09
0.5001411.7519873.982019e-09
0.5014231.7518263.992229e-09
0.5027091.7516654.002465e-09
0.5039971.7515054.012728e-09
0.505291.7513454.023016e-09
0.5065851.7511874.033332e-09
0.5078841.7510294.043673e-09
0.5091861.7508734.054041e-09
0.5104921.7507174.064436e-09
0.5118011.7505624.074857e-09
0.5131131.7504084.085305e-09
0.5144291.7502544.095780e-09
0.5157481.7501024.106282e-09
0.517071.749954.116810e-09
0.5183961.7497994.127366e-09
0.5197251.7496494.137949e-09
0.5210571.74954.148559e-09
0.5223931.7493514.159196e-09
0.5237331.7492034.169860e-09
0.5250761.7490564.180552e-09
0.5264221.748914.191271e-09
0.5277721.7487654.202017e-09
0.5291251.748624.212791e-09
0.5304811.7484764.223593e-09
0.5318421.7483334.234422e-09
0.5332051.748194.245280e-09
0.5345721.7480494.256165e-09
0.5359431.7479084.267077e-09
0.5373171.7477684.278018e-09
0.5386951.7476284.288987e-09
0.5400761.7474894.299984e-09
0.5414611.7473514.311010e-09
0.5428491.7472144.322063e-09
0.5442411.7470774.333145e-09
0.5456361.7469424.344255e-09
0.5470351.7468064.355394e-09
0.5484381.7466724.366562e-09
0.5498441.7465384.377758e-09
0.551.7465234.379000e-09
0.5512541.7464054.388980e-09
0.5526671.7462734.400230e-09
0.5540841.7461414.411510e-09
0.5555051.746014.422818e-09
0.5569291.7458794.434156e-09
0.5583571.745754.445522e-09
0.5597891.7456214.456918e-09
0.5612241.7454924.468343e-09
0.5626631.7453644.479797e-09
0.5641061.7452374.491280e-09
0.5655521.7451114.502793e-09
0.5670021.7449854.514336e-09
0.5684561.744864.525908e-09
0.5699131.7447354.537509e-09
0.5713741.7446114.549141e-09
0.5728391.7444884.560802e-09
0.5743081.7443654.572493e-09
0.5757811.7442434.584214e-09
0.5772571.7441224.595966e-09
0.5787371.7440014.607747e-09
0.5802211.7438814.619558e-09
0.5817091.7437614.631400e-09
0.58321.7436424.643272e-09
0.5846951.7435244.655175e-09
0.5861951.7434064.667108e-09
0.5876971.7432894.679072e-09
0.5892041.7431724.691066e-09
0.5907151.7430564.703092e-09
0.592231.7429414.715148e-09
0.5937481.7428264.727235e-09
0.595271.7427114.739352e-09
0.5967971.7425974.751501e-09
0.5983271.7424844.763682e-09
0.5998611.7423714.775893e-09
0.61.7423614.777000e-09
0.6013991.7422594.788138e-09
0.6029411.7421484.800416e-09
0.6044871.7420374.812724e-09
0.6060371.7419264.825064e-09
0.6075911.7418164.837436e-09
0.6091481.7417074.849840e-09
0.610711.7415984.862275e-09
0.6122761.741494.874742e-09
0.6138461.7413824.887241e-09
0.615421.7412744.899773e-09
0.6169981.7411684.912336e-09
0.618581.7410614.924932e-09
0.6201661.7409554.937560e-09
0.6217561.740854.950220e-09
0.623351.7407454.962913e-09
0.6249481.7406414.975638e-09
0.6265511.7405374.988396e-09
0.6281571.7404345.001186e-09
0.6297681.7403315.014010e-09
0.6313821.7402295.026866e-09
0.6330011.7401275.039755e-09
0.6346241.7400265.052677e-09
0.6362511.7399255.065633e-09
0.6378831.7398255.078621e-09
0.6395181.7397255.091643e-09
0.6411581.7396255.104699e-09
0.6428021.7395265.117788e-09
0.644451.7394285.130910e-09
0.6461021.739335.144066e-09
0.6477591.7392325.157256e-09
0.649421.7391355.170479e-09
0.651.7391015.175100e-09
0.6510851.7390385.183737e-09
0.6527541.7389425.197028e-09
0.6544281.7388465.210354e-09
0.6561061.7387515.223713e-09
0.6577881.7386565.237107e-09
0.6594741.7385615.250535e-09
0.6611651.7384675.263998e-09
0.6628611.7383745.277495e-09
0.664561.738285.291027e-09
0.6662641.7381885.304594e-09
0.6679721.7380955.318195e-09
0.6696851.7380035.331831e-09
0.6714021.7379125.345502e-09
0.6731231.7378215.359209e-09
0.6748491.737735.372950e-09
0.676581.737645.386727e-09
0.6783141.737555.400539e-09
0.6800531.737465.414386e-09
0.6817971.7373715.428269e-09
0.6835451.7372825.442187e-09
0.6852981.7371945.456141e-09
0.6870551.7371065.470131e-09
0.6888161.7370185.484157e-09
0.6905831.7369315.498219e-09
0.6923531.7368445.512316e-09
0.6941281.7367585.526450e-09
0.6959081.7366725.540620e-09
0.6976921.7365865.554827e-09
0.6994811.7365015.569070e-09
0.71.7364765.573200e-09
0.7012751.7364165.735745e-09
0.7030731.7363315.965024e-09
0.7048751.7362476.194892e-09
0.7066831.7361636.425348e-09
0.7084951.7360796.656396e-09
0.7103111.7359966.888036e-09
0.7121321.7359137.120270e-09
0.7139581.7358317.353100e-09
0.7157891.7357497.586526e-09
0.7176241.7356677.820551e-09
0.7194641.7355868.055176e-09
0.7213091.7355048.290402e-09
0.7231581.7354248.526232e-09
0.7250121.7353438.762666e-09
0.7268711.7352638.999707e-09
0.7287351.7351839.237355e-09
0.7306031.7351049.475612e-09
0.7324771.7350259.714481e-09
0.7343551.7349469.953962e-09
0.7362371.7348671.019406e-08
0.7381251.7347891.043477e-08
0.7400181.7347111.067610e-08
0.7419151.7346331.091804e-08
0.7438171.7345561.116061e-08
0.7457241.7344791.140380e-08
0.7476361.7344021.164761e-08
0.7495531.7343261.189205e-08
0.751.7343081.194900e-08
0.7514751.734251.166680e-08
0.7534021.7341741.129822e-08
0.7553341.7340991.092869e-08
0.757271.7340241.055822e-08
0.7592121.7339491.018679e-08
0.7611591.7338749.814414e-09
0.763111.73389.441082e-09
0.7650671.7337259.066793e-09
0.7670281.7336528.691544e-09
0.7689951.7335788.315334e-09
0.7709671.7335057.938158e-09
0.7729431.7334327.560016e-09
0.7749251.7333597.180904e-09
0.7769121.7332876.800820e-09
0.7789041.7332156.419761e-09
0.781.7331756.210100e-09
0.7809011.7331436.504525e-09
0.7829031.7330717.158735e-09
0.7849111.7337.814623e-09
0.7869231.7329288.472193e-09
0.7889411.7328589.131448e-09
0.7909641.7327879.792394e-09
0.7929921.7327171.045503e-08
0.7950251.7326461.111937e-08
0.7970631.7325761.178542e-08
0.7991071.7325071.245317e-08
0.81.7324761.274500e-08
0.8011561.7324371.250858e-08
0.803211.7323681.208839e-08
0.8052691.7322991.166712e-08
0.8073341.7322311.124477e-08
0.8094041.7321621.082133e-08
0.8114791.7320941.039681e-08
0.813561.7320269.971202e-09
0.8156461.7319589.544502e-09
0.8177371.731899.116708e-09
0.8198341.7318238.687817e-09
0.8219361.7317568.257826e-09
0.8240431.7316897.826733e-09
0.8261561.7316227.394535e-09
0.8282741.7315566.961228e-09
0.831.7315026.608200e-09
0.8303981.7314896.611369e-09
0.8325271.7314236.628327e-09
0.8346621.7313576.645329e-09
0.8368021.7312926.662375e-09
0.8389471.7312266.679464e-09
0.8410981.7311616.696597e-09
0.8432551.7310966.713774e-09
0.8454171.7310316.730995e-09
0.8475841.7309666.748260e-09
0.8497581.7309026.765569e-09
0.851.7308956.767500e-09
0.8519361.7308386.782917e-09
0.8541211.7307746.800309e-09
0.8563111.730716.817745e-09
0.8585061.7306466.835226e-09
0.8607071.7305826.852752e-09
0.8629141.7305196.870323e-09
0.8651271.7304566.887939e-09
0.8673451.7303936.905599e-09
0.8695691.730336.923306e-09
0.8717981.7302676.941057e-09
0.8740331.7302056.958855e-09
0.8762741.7301426.976697e-09
0.8785211.730086.994586e-09
0.8807741.7300187.012520e-09
0.8830321.7299567.030501e-09
0.8852961.7298957.048527e-09
0.8875661.7298337.066600e-09
0.8898421.7297727.084719e-09
0.8921231.7297117.102884e-09
0.8944111.729657.121096e-09
0.8967041.7295897.139355e-09
0.8990031.7295287.157661e-09
0.91.7295027.165600e-09
0.9013081.7294677.176011e-09
0.9036191.7294077.194406e-09
0.9059361.7293477.212848e-09
0.9082581.7292877.231337e-09
0.9105871.7292277.249874e-09
0.9129221.7291677.268458e-09
0.9152631.7291077.287090e-09
0.9176091.7290477.305770e-09
0.9199621.7289887.324498e-09
0.9223211.7289297.343273e-09
0.9246861.7288697.362097e-09
0.9270561.728817.380969e-09
0.9294331.7287517.399890e-09
0.9318161.7286927.418859e-09
0.9342061.7286347.437876e-09
0.9366011.7285757.456943e-09
0.9390021.7285177.476058e-09
0.941411.7284587.495222e-09
0.9438241.72847.514436e-09
0.9462441.7283427.533698e-09
0.948671.7282847.553010e-09
0.951.7282527.563600e-09
0.9511021.7282267.572374e-09
0.9535411.7281687.591790e-09
0.9559851.7281117.611256e-09
0.9584371.7280537.630772e-09
0.9608941.7279967.650338e-09
0.9633581.7279387.669954e-09
0.9658281.7278817.689620e-09
0.9683041.7278247.709337e-09
0.9707871.7277677.729104e-09
0.9732761.727717.748922e-09
0.9757711.7276537.768791e-09
0.9782731.7275967.788710e-09
0.9807811.727547.808681e-09
0.9832961.7274837.828703e-09
0.9858171.7274267.848776e-09
0.9883451.727377.868901e-09
0.9908791.7273147.889077e-09
0.9934191.7272577.909306e-09
0.9959671.7272017.929586e-09
0.998521.7271457.949918e-09
11.7271137.961700e-09
1.001081.7270897.970302e-09
1.003651.7270337.990738e-09
1.006221.7269778.011227e-09
1.00881.7269228.031768e-09
1.011391.7268668.052362e-09
1.013981.726818.073009e-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
—