Optical constants

Refractive index of BSC7 (HOYA)

BSC7: 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
1.5168
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.30067
Permittivity ε2
1.41920e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
64.198
Chromatic dispersion dn/dλ
-0.0417959 µm⁻¹
Group index ng
1.54136
Group velocity dispersion
70.0395 fs²/mm
Dispersion parameter D
-382.103 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

# BSC7 (HOYA): BSC7
hoya_bsc7 = ls.fetch_refractiveindex("specs", "HOYA-optical", "BSC7", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hoya_bsc7.range_nm)  # (365.01, 1013.98) nm
eps = hoya_bsc7.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=2.2702566−0.0091988101⁢λ2.0+0.011609706⁢λ−2.0−7.6123911×10-5⁢λ−4.0+2.8558727×10-5⁢λ−6.0−1.2566486×10-6⁢λ−8.0

Valid from 0.36501 to 1.01398 µm.

Coefficients as stored
CiValue
C12.2702566
C2-0.0091988101
C32.0
C40.011609706
C5-2.0
C6-7.6123911e-05
C7-4.0
C82.8558727e-05
C9-6.0
C10-1.2566486e-06
C11-8.0

Comments and conditions

General glass Type

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 3.25479e-06 0.0 0.0 0.0 0.0 0.0
nd
1.51680
Vd
64.20
glass code
517642
density
value: 2520
thermal expansion
value: 7.6e-06, temperature range: 243 343; value: 9.3e-06, temperature range: 293 573
dPgF
0.0016
resistance
acid: 1.0; stain: 1.0; climatic: 3.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.39e-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
BSC7 (HOYA), BSC7: n and k versus wavelength
λ (µm)nk
0.365011.5362192.766046e-08
0.3659461.5360532.690830e-08
0.3668841.5358872.615421e-08
0.3678251.5357232.539819e-08
0.3687681.5355592.464023e-08
0.3697131.5353972.388032e-08
0.371.5353482.365000e-08
0.3706611.5352352.349074e-08
0.3716121.5350742.326190e-08
0.3725651.5349152.303246e-08
0.373521.5347562.280244e-08
0.3744771.5345982.257183e-08
0.3754381.5344412.234062e-08
0.37641.5342852.210883e-08
0.3773651.5341292.187644e-08
0.3783331.5339752.164345e-08
0.3793031.5338212.140987e-08
0.381.5337122.124200e-08
0.3802751.5336692.091380e-08
0.381251.5335171.975183e-08
0.3822281.5333661.858689e-08
0.3832081.5332161.741896e-08
0.384191.5330671.624804e-08
0.3851761.5329181.507411e-08
0.3861631.5327711.389718e-08
0.3871531.5326241.271722e-08
0.3881461.5324781.153424e-08
0.3891411.5323331.034823e-08
0.391.5322099.324600e-09
0.3901391.5321899.283625e-09
0.3911391.5320468.988335e-09
0.3921421.5319038.692289e-09
0.3931471.5317618.395483e-09
0.3941551.531628.097916e-09
0.3951661.531487.799587e-09
0.3961791.5313417.500492e-09
0.3971951.5312027.200631e-09
0.3982131.5310656.900001e-09
0.3992341.5309286.598600e-09
0.41.5308266.372600e-09
0.4002581.5307916.333523e-09
0.4012841.5306566.178113e-09
0.4023131.5305216.022305e-09
0.4033451.5303875.866097e-09
0.4043791.5302545.709489e-09
0.4054161.5301215.552479e-09
0.4064551.529995.395066e-09
0.4074971.5298595.237250e-09
0.4085421.5297295.079029e-09
0.409591.5295994.920403e-09
0.410641.529474.761370e-09
0.4116931.5293424.601929e-09
0.4127481.5292154.442079e-09
0.4138061.5290884.281820e-09
0.4148671.5289624.121149e-09
0.4159311.5288373.960067e-09
0.4169981.5287133.798571e-09
0.4180671.5285893.636662e-09
0.4191391.5284663.474337e-09
0.421.5283683.343900e-09
0.4202131.5283433.383000e-09
0.4212911.5282223.580484e-09
0.4223711.52813.778475e-09
0.4234541.527983.976974e-09
0.424541.527864.175981e-09
0.4256281.5277414.375499e-09
0.4267191.5276234.575528e-09
0.4278131.5275054.776070e-09
0.428911.5273884.977126e-09
0.430011.5272715.178698e-09
0.4311131.5271555.380786e-09
0.4322181.527045.583393e-09
0.4333261.5269265.786519e-09
0.4344371.5268125.990166e-09
0.4355511.5266986.194336e-09
0.4366681.5265866.399028e-09
0.4377871.5264746.604246e-09
0.438911.5263626.809989e-09
0.441.5262557.009800e-09
0.4400351.5262517.003901e-09
0.4411631.5261416.815068e-09
0.4422951.5260316.625751e-09
0.4434291.5259226.435949e-09
0.4445661.5258146.245660e-09
0.4457051.5257066.054883e-09
0.4468481.5255995.863616e-09
0.4479941.5254925.671860e-09
0.4491431.5253865.479612e-09
0.4502941.525285.286871e-09
0.4514491.5251755.093635e-09
0.4526061.5250714.899905e-09
0.4537671.5249674.705677e-09
0.454931.5248634.510952e-09
0.4560971.5247614.315727e-09
0.4572661.5246584.120002e-09
0.4584381.5245573.923775e-09
0.4596141.5244553.727045e-09
0.461.5244223.662400e-09
0.4607921.5243553.820233e-09
0.4619741.5242554.055621e-09
0.4631581.5241554.291612e-09
0.4643461.5240564.528208e-09
0.4655361.5239584.765410e-09
0.466731.523865.003221e-09
0.4679271.5237625.241642e-09
0.4691261.5236655.480674e-09
0.4703291.5235695.720318e-09
0.4715351.5234735.960577e-09
0.4727441.5233786.201453e-09
0.4739561.5232836.442945e-09
0.4751711.5231886.685057e-09
0.476391.5230946.927790e-09
0.4776111.5230017.171145e-09
0.4788361.5229087.415124e-09
0.481.522827.647100e-09
0.4800631.5228167.648110e-09
0.4812941.5227247.667717e-09
0.4825281.5226327.687375e-09
0.4837651.5225417.707084e-09
0.4850061.522457.726843e-09
0.4862491.522367.746652e-09
0.4874961.5222717.766513e-09
0.4887461.5221827.786424e-09
0.4899991.5220937.806386e-09
0.4912551.5220057.826400e-09
0.4925151.5219177.846465e-09
0.4937781.5218297.866581e-09
0.4950441.5217427.886749e-09
0.4963131.5216567.906968e-09
0.4975861.521577.927240e-09
0.4988611.5214847.947563e-09
0.51.5214087.965700e-09
0.5001411.5213997.955619e-09
0.5014231.5213147.863631e-09
0.5027091.521237.771408e-09
0.5039971.5211467.678948e-09
0.505291.5210637.586251e-09
0.5065851.520987.493316e-09
0.5078841.5208977.400143e-09
0.5091861.5208157.306731e-09
0.5104921.5207337.213080e-09
0.5118011.5206527.119188e-09
0.5131131.5205717.025056e-09
0.5144291.520496.930682e-09
0.5157481.520416.836067e-09
0.517071.520336.741209e-09
0.5183961.5202516.646107e-09
0.5197251.5201726.550762e-09
0.5210571.5200936.455172e-09
0.5223931.5200156.359338e-09
0.5237331.5199376.263257e-09
0.5250761.519866.166930e-09
0.5264221.5197836.070357e-09
0.5277721.5197065.973535e-09
0.5291251.519635.876465e-09
0.5304811.5195545.779147e-09
0.5318421.5194785.681579e-09
0.5332051.5194035.583761e-09
0.5345721.5193285.485692e-09
0.5359431.5192535.387371e-09
0.5373171.5191795.288799e-09
0.5386951.5191065.189973e-09
0.5400761.5190325.090895e-09
0.5414611.5189594.991562e-09
0.5428491.5188864.891974e-09
0.5442411.5188144.792132e-09
0.5456361.5187424.692033e-09
0.5470351.518674.591678e-09
0.5484381.5185994.491065e-09
0.5498441.5185284.390194e-09
0.551.518524.379000e-09
0.5512541.5184574.388980e-09
0.5526671.5183874.400230e-09
0.5540841.5183174.411510e-09
0.5555051.5182474.422818e-09
0.5569291.5181784.434156e-09
0.5583571.5181094.445522e-09
0.5597891.518044.456918e-09
0.5612241.5179724.468343e-09
0.5626631.5179034.479797e-09
0.5641061.5178364.491280e-09
0.5655521.5177684.502793e-09
0.5670021.5177014.514336e-09
0.5684561.5176344.525908e-09
0.5699131.5175684.537509e-09
0.5713741.5175024.549141e-09
0.5728391.5174364.560802e-09
0.5743081.517374.572493e-09
0.5757811.5173054.584214e-09
0.5772571.517244.595966e-09
0.5787371.5171754.607747e-09
0.5802211.517114.619558e-09
0.5817091.5170464.631400e-09
0.58321.5169824.643272e-09
0.5846951.5169194.655175e-09
0.5861951.5168564.667108e-09
0.5876971.5167934.679072e-09
0.5892041.516734.691066e-09
0.5907151.5166674.703092e-09
0.592231.5166054.715148e-09
0.5937481.5165434.727235e-09
0.595271.5164824.739352e-09
0.5967971.516424.751501e-09
0.5983271.5163594.763682e-09
0.5998611.5162984.775893e-09
0.61.5162934.777000e-09
0.6013991.5162384.788138e-09
0.6029411.5161784.800416e-09
0.6044871.5161174.812724e-09
0.6060371.5160584.825064e-09
0.6075911.5159984.837436e-09
0.6091481.5159394.849840e-09
0.610711.515884.862275e-09
0.6122761.5158214.874742e-09
0.6138461.5157634.887241e-09
0.615421.5157044.899773e-09
0.6169981.5156464.912336e-09
0.618581.5155894.924932e-09
0.6201661.5155314.937560e-09
0.6217561.5154744.950220e-09
0.623351.5154174.962913e-09
0.6249481.515364.975638e-09
0.6265511.5153034.988396e-09
0.6281571.5152475.001186e-09
0.6297681.5151915.014010e-09
0.6313821.5151355.026866e-09
0.6330011.515085.039755e-09
0.6346241.5150245.052677e-09
0.6362511.5149695.065633e-09
0.6378831.5149145.078621e-09
0.6395181.5148595.091643e-09
0.6411581.5148055.104699e-09
0.6428021.514755.117788e-09
0.644451.5146965.130910e-09
0.6461021.5146435.144066e-09
0.6477591.5145895.157256e-09
0.649421.5145355.170479e-09
0.651.5145175.175100e-09
0.6510851.5144825.183737e-09
0.6527541.5144295.197028e-09
0.6544281.5143765.210354e-09
0.6561061.5143245.223713e-09
0.6577881.5142725.237107e-09
0.6594741.5142195.250535e-09
0.6611651.5141675.263998e-09
0.6628611.5141165.277495e-09
0.664561.5140645.291027e-09
0.6662641.5140135.304594e-09
0.6679721.5139625.318195e-09
0.6696851.5139115.331831e-09
0.6714021.513865.345502e-09
0.6731231.5138095.359209e-09
0.6748491.5137595.372950e-09
0.676581.5137095.386727e-09
0.6783141.5136595.400539e-09
0.6800531.5136095.414386e-09
0.6817971.5135595.428269e-09
0.6835451.513515.442187e-09
0.6852981.513465.456141e-09
0.6870551.5134115.470131e-09
0.6888161.5133625.484157e-09
0.6905831.5133145.498219e-09
0.6923531.5132655.512316e-09
0.6941281.5132175.526450e-09
0.6959081.5131685.540620e-09
0.6976921.513125.554827e-09
0.6994811.5130725.569070e-09
0.71.5130595.573200e-09
0.7012751.5130255.583349e-09
0.7030731.5129775.597665e-09
0.7048751.512935.612018e-09
0.7066831.5128835.626407e-09
0.7084951.5128365.640834e-09
0.7103111.5127895.655297e-09
0.7121321.5127425.669798e-09
0.7139581.5126955.684336e-09
0.7157891.5126495.698911e-09
0.7176241.5126035.713523e-09
0.7194641.5125575.728173e-09
0.7213091.5125115.742860e-09
0.7231581.5124655.757585e-09
0.7250121.5124195.772348e-09
0.7268711.5123745.787148e-09
0.7287351.5123295.801987e-09
0.7306031.5122845.816864e-09
0.7324771.5122395.831778e-09
0.7343551.5121945.846731e-09
0.7362371.5121495.861723e-09
0.7381251.5121045.876752e-09
0.7400181.512065.891821e-09
0.7419151.5120165.906928e-09
0.7438171.5119715.922073e-09
0.7457241.5119275.937258e-09
0.7476361.5118845.952481e-09
0.7495531.511845.967744e-09
0.751.511835.971300e-09
0.7514751.5117965.983043e-09
0.7534021.5117535.998380e-09
0.7553341.5117096.013756e-09
0.757271.5116666.029172e-09
0.7592121.5116236.044627e-09
0.7611591.511586.060122e-09
0.763111.5115376.075656e-09
0.7650671.5114956.091231e-09
0.7670281.5114526.106845e-09
0.7689951.511416.122500e-09
0.7709671.5113676.138194e-09
0.7729431.5113256.153929e-09
0.7749251.5112836.169704e-09
0.7769121.5112416.185520e-09
0.7789041.5111996.201376e-09
0.781.5111766.210100e-09
0.7809011.5111586.217277e-09
0.7829031.5111166.233225e-09
0.7849111.5110756.249213e-09
0.7869231.5110336.265243e-09
0.7889411.5109926.281313e-09
0.7909641.5109516.297425e-09
0.7929921.510916.313578e-09
0.7950251.5108696.329772e-09
0.7970631.5108286.346008e-09
0.7991071.5107876.362286e-09
0.81.510776.369400e-09
0.8011561.5107476.378600e-09
0.803211.5107066.394951e-09
0.8052691.5106666.411343e-09
0.8073341.5106266.427778e-09
0.8094041.5105866.444255e-09
0.8114791.5105456.460775e-09
0.813561.5105056.477336e-09
0.8156461.5104666.493940e-09
0.8177371.5104266.510587e-09
0.8198341.5103866.527276e-09
0.8219361.5103476.544008e-09
0.8240431.5103076.560783e-09
0.8261561.5102686.577602e-09
0.8282741.5102286.594463e-09
0.831.5101966.608200e-09
0.8303981.5101896.746139e-09
0.8325271.510157.484281e-09
0.8346621.5101118.224316e-09
0.8368021.5100728.966248e-09
0.8389471.5100339.710083e-09
0.8410981.5099941.045582e-08
0.8432551.5099561.120348e-08
0.8454171.5099171.195305e-08
0.8475841.5098791.270454e-08
0.8497581.509841.345796e-08
0.851.5098361.354200e-08
0.8519361.5098021.357283e-08
0.8541211.5097641.360760e-08
0.8563111.5097251.364247e-08
0.8585061.5096871.367742e-08
0.8607071.5096491.371246e-08
0.8629141.5096111.374759e-08
0.8651271.5095731.378282e-08
0.8673451.5095361.381813e-08
0.8695691.5094981.385353e-08
0.8717981.509461.388903e-08
0.8740331.5094231.392461e-08
0.8762741.5093851.396029e-08
0.8785211.5093481.399606e-08
0.8807741.509311.403192e-08
0.8830321.5092731.406787e-08
0.8852961.5092361.410391e-08
0.8875661.5091981.414005e-08
0.8898421.5091611.417628e-08
0.8921231.5091241.421260e-08
0.8944111.5090871.424902e-08
0.8967041.509051.428552e-08
0.8990031.5090131.432213e-08
0.91.5089971.433800e-08
0.9013081.5089771.455710e-08
0.9036191.508941.494422e-08
0.9059361.5089031.533234e-08
0.9082581.5088661.572145e-08
0.9105871.508831.611157e-08
0.9129221.5087931.650268e-08
0.9152631.5087571.689479e-08
0.9176091.508721.728791e-08
0.9199621.5086841.768204e-08
0.9223211.5086481.807718e-08
0.9246861.5086111.847333e-08
0.9270561.5085751.887050e-08
0.9294331.5085391.926868e-08
0.9318161.5085031.966789e-08
0.9342061.5084672.006812e-08
0.9366011.5084312.046937e-08
0.9390021.5083952.087166e-08
0.941411.5083592.127497e-08
0.9438241.5083232.167932e-08
0.9462441.5082872.208471e-08
0.948671.5082512.249114e-08
0.951.5082312.271400e-08
0.9511021.5082152.274034e-08
0.9535411.5081792.279862e-08
0.9559851.5081442.285705e-08
0.9584371.5081082.291563e-08
0.9608941.5080722.297437e-08
0.9633581.5080372.303325e-08
0.9658281.5080012.309228e-08
0.9683041.5079662.315147e-08
0.9707871.507932.321080e-08
0.9732761.5078952.327029e-08
0.9757711.5078592.332993e-08
0.9782731.5078242.338973e-08
0.9807811.5077882.344967e-08
0.9832961.5077532.350978e-08
0.9858171.5077182.357003e-08
0.9883451.5076822.363044e-08
0.9908791.5076472.369100e-08
0.9934191.5076122.375172e-08
0.9959671.5075762.381260e-08
0.998521.5075412.387363e-08
11.5075212.390900e-08
1.001081.5075062.411601e-08
1.003651.5074712.460785e-08
1.006221.5074352.510095e-08
1.00881.50742.559531e-08
1.011391.5073652.609095e-08
1.013981.507332.658785e-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
—