Optical constants

Refractive index of K10 (SCHOTT)

K10: n,k 0.3–2.5 µm

Data
formula 2 + tabulated k
Range
0.3–2.5 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.3–2.5 µm
Refractive index n
1.50137
Extinction coefficient k
1.31389e-08
Permittivity ε1
2.25411
Permittivity ε2
3.94526e-08
Absorption coefficient α
0.00280987 cm⁻¹
Penetration depth δ = λ/(2πk)
7.11777e+09 nm
Abbe number Vd
56.409
Chromatic dispersion dn/dλ
-0.0458408 µm⁻¹
Group index ng
1.52831
Group velocity dispersion
80.6016 fs²/mm
Dispersion parameter D
-439.724 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

# K10 (SCHOTT): K10
schott_k10 = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "K10", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_k10.range_nm)  # (300, 2500) nm
eps = schott_k10.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

Sellmeier (C in µm²) (formula 2), λ in µm
n2−1=1.15687082λ2λ2−0.00809424251+0.0642625444λ2λ2−0.0386051284+0.872376139λ2λ2−104.74773

Valid from 0.3 to 2.5 µm.

Coefficients as stored
CiValue
C10.0
C21.15687082
C30.00809424251
C40.0642625444
C50.0386051284
C60.872376139
C7104.74773

Comments and conditions

lead containing glass type

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 4.86e-06 1.72e-08 -3.02e-11 3.82e-07 4.53e-10 0.26
nd
1.50137
Vd
56.41
glass code
501564.252
glass status
standard
density
value: 2520
thermal expansion
value: 6.5e-06, temperature range: 243 343; value: 7.4e-06, temperature range: 293 573
dPgF
-0.0015
resistance
acid: 1.0; stain: 0.0; alkali: 1.0; climatic: 1.0; phosphate: 1.2

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 2.50e-06 K⁻¹ at 633 nm, dn/dT = 2.08e-06 K⁻¹ at 1310 nm, dn/dT = 2.04e-06 K⁻¹ at 1550 nm

References

Cite

SCHOTT Zemax catalog 2017-01-20b (obtained from http://www.schott.com); See also SCHOTT glass data sheets; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 423 wavelengths, the same grid as the API and the library
K10 (SCHOTT), K10: n and k versus wavelength
λ (µm)nk
0.31.543693.735700e-06
0.3015981.5429713.460371e-06
0.3032051.5422643.183575e-06
0.3048211.5415692.905304e-06
0.3064451.5408862.625551e-06
0.3080781.5402142.344307e-06
0.3097191.5395542.061565e-06
0.311.5394432.013200e-06
0.3113691.5389051.900879e-06
0.3130281.5382661.764808e-06
0.3146961.5376381.628012e-06
0.3163731.5370211.490486e-06
0.3180591.5364131.352228e-06
0.3197531.5358141.213233e-06
0.321.5357281.193000e-06
0.3214571.5352261.105191e-06
0.323171.5346461.001967e-06
0.3248921.5340768.981929e-07
0.3266231.5335157.938662e-07
0.3283631.5329626.889836e-07
0.3301121.5324175.835422e-07
0.3318711.5318814.775390e-07
0.333641.5313533.709709e-07
0.3341.5312473.492500e-07
0.3354171.5308333.276209e-07
0.3372041.5303213.003470e-07
0.3390011.5298162.729279e-07
0.3408071.5293192.453626e-07
0.3426231.5288292.176504e-07
0.3444491.5283461.897906e-07
0.3462841.5278711.617824e-07
0.3481291.5274021.336249e-07
0.3499841.5269391.053174e-07
0.351.5269351.050700e-07
0.3518491.5264849.826505e-08
0.3537231.5260359.136385e-08
0.3556081.5255928.442589e-08
0.3575031.5251557.745095e-08
0.3594071.5247257.043886e-08
0.3613221.52436.338940e-08
0.3632481.5238825.630238e-08
0.3651.5235084.985100e-08
0.3651831.5234694.951767e-08
0.3671291.5230624.597217e-08
0.3690851.522664.240778e-08
0.371.5224754.074000e-08
0.3710511.5222643.993768e-08
0.3730281.5218733.842884e-08
0.3750161.5214873.691196e-08
0.3770141.5211073.538699e-08
0.3790231.5207323.385390e-08
0.381.5205523.310800e-08
0.3810421.5203613.200762e-08
0.3830721.5199962.986390e-08
0.3851131.5196352.770876e-08
0.3871651.5192792.554214e-08
0.3892281.5189282.336398e-08
0.391.5187982.254900e-08
0.3913021.5185822.195034e-08
0.3933871.5182392.099170e-08
0.3954831.5179022.002796e-08
0.397591.5175681.905909e-08
0.3997081.5172391.808505e-08
0.41.5171941.795100e-08
0.4018381.5169141.755323e-08
0.4039791.5165931.708991e-08
0.4051.5164431.686900e-08
0.4061321.5162771.681400e-08
0.4082961.5159641.670884e-08
0.4104711.5156551.660311e-08
0.4126581.515351.649682e-08
0.4148571.5150491.638997e-08
0.4170671.5147521.628254e-08
0.4192891.5144581.617454e-08
0.421.5143651.614000e-08
0.4215231.5141681.619855e-08
0.4237691.5138821.628488e-08
0.4260271.5135991.637166e-08
0.4282971.5133191.645891e-08
0.4305791.5130431.654663e-08
0.4328731.5127711.663481e-08
0.4351791.5125011.672346e-08
0.4361.5124071.675500e-08
0.4374981.5122351.662772e-08
0.4398291.5119721.642968e-08
0.4421731.5117121.623058e-08
0.4445291.5114561.603043e-08
0.4468971.5112021.582920e-08
0.4492781.5109521.562691e-08
0.4516721.5107041.542354e-08
0.4540781.5104591.521908e-08
0.4564981.5102181.501354e-08
0.458931.5099791.480689e-08
0.461.5098751.471600e-08
0.4613751.5097421.470476e-08
0.4638341.5095091.468466e-08
0.4663051.5092781.466446e-08
0.4687891.509051.464415e-08
0.4712871.5088251.462373e-08
0.4737981.5086021.460320e-08
0.4763231.5083821.458256e-08
0.4788611.5081641.456181e-08
0.4814121.5079491.454096e-08
0.4839771.5077361.451999e-08
0.4865561.5075261.449891e-08
0.4891481.5073181.447771e-08
0.4917541.5071121.445641e-08
0.4943741.5069091.443499e-08
0.4970081.5067071.441346e-08
0.4996571.5065091.439181e-08
0.51.5064831.438900e-08
0.5023191.5063121.436737e-08
0.5049951.5061181.434241e-08
0.5076861.5059251.431732e-08
0.5103911.5057351.429209e-08
0.513111.5055471.426673e-08
0.5158441.5053611.424124e-08
0.5185931.5051771.421560e-08
0.5213561.5049951.418983e-08
0.5241341.5048151.416393e-08
0.5269261.5046371.413788e-08
0.5297341.504461.411170e-08
0.5325561.5042861.408538e-08
0.5353941.5041141.405892e-08
0.5382461.5039431.403231e-08
0.5411141.5037741.400557e-08
0.5439971.5036071.397868e-08
0.5461.5034931.396000e-08
0.5468961.5034421.393389e-08
0.549811.5032781.384896e-08
0.5527391.5031171.376358e-08
0.5556841.5029561.367774e-08
0.5586451.5027981.359144e-08
0.5616211.5026411.350468e-08
0.5646141.5024861.341747e-08
0.5676221.5023321.332978e-08
0.5706461.502181.324163e-08
0.5736871.502031.315301e-08
0.5767431.501881.306392e-08
0.5798161.5017331.297435e-08
0.581.5017241.296900e-08
0.5829061.5015871.303394e-08
0.5860111.5014421.310336e-08
0.5891341.5012991.317314e-08
0.5922731.5011571.324330e-08
0.5954281.5010171.331383e-08
0.5986011.5008781.338473e-08
0.601791.5007411.345601e-08
0.6049971.5006041.352768e-08
0.608221.5004691.359972e-08
0.6114611.5003361.367215e-08
0.6147191.5002031.374496e-08
0.6179941.5000721.381817e-08
0.621.4999931.386300e-08
0.6212871.4999421.382375e-08
0.6245971.4998141.372279e-08
0.6279251.4996861.362129e-08
0.6312711.499561.351925e-08
0.6346341.4994351.341666e-08
0.6380151.4993111.331353e-08
0.6414151.4991881.320985e-08
0.6448321.4990671.310561e-08
0.6482681.4989461.300082e-08
0.6517221.4988271.289548e-08
0.6551951.4987081.278957e-08
0.6586851.4985911.268309e-08
0.661.4985471.264300e-08
0.6621951.4984751.231658e-08
0.6657231.4983591.179190e-08
0.669271.4982451.126442e-08
0.6728361.4981321.073413e-08
0.6764211.4980191.020101e-08
0.6800251.4979089.665058e-09
0.6836481.4977989.126247e-09
0.6872911.4976888.584565e-09
0.6909531.497588.039997e-09
0.6946341.4974727.492527e-09
0.6983351.4973656.942141e-09
0.71.4973186.694600e-09
0.7020561.4972596.733602e-09
0.7057971.4971546.804553e-09
0.7095571.497056.875882e-09
0.7133381.4969476.947591e-09
0.7171391.4968447.019683e-09
0.720961.4967437.092158e-09
0.7248011.4966427.165020e-09
0.7286631.4965427.238270e-09
0.7325451.4964427.311910e-09
0.7364481.4963447.385942e-09
0.7403721.4962467.460369e-09
0.7443171.4961497.535193e-09
0.7482831.4960527.610415e-09
0.752271.4959577.686038e-09
0.7562781.4958627.762064e-09
0.7603071.4957677.838494e-09
0.7643581.4956747.915333e-09
0.7684311.4955817.992580e-09
0.7725251.4954888.070239e-09
0.7766411.4953978.148312e-09
0.7807791.4953058.226801e-09
0.7849391.4952158.305708e-09
0.7891211.4951258.385036e-09
0.7933261.4950368.464786e-09
0.7975531.4949478.544961e-09
0.8018021.4948598.625563e-09
0.8060741.4947718.706595e-09
0.8103691.4946848.788058e-09
0.8146871.4945988.869956e-09
0.8190281.4945118.952290e-09
0.8233911.4944269.035062e-09
0.8277791.4943419.118276e-09
0.8321891.4942569.201933e-09
0.8366231.4941729.286036e-09
0.8410811.4940899.370586e-09
0.8455621.4940069.455588e-09
0.8500671.4939239.541042e-09
0.8545961.4938419.626951e-09
0.859151.4937599.713319e-09
0.8637271.4936779.800146e-09
0.8683291.4935969.887436e-09
0.8729561.4935169.975191e-09
0.8776071.4934351.006341e-08
0.8822831.4933561.015211e-08
0.8869841.4932761.024127e-08
0.891711.4931971.033091e-08
0.8964611.4931181.042103e-08
0.9012381.493041.051163e-08
0.9060391.4929621.060271e-08
0.9108671.4928841.069428e-08
0.915721.4928061.078633e-08
0.9205991.4927291.087887e-08
0.9255041.4926521.097191e-08
0.9304351.4925751.106544e-08
0.9353931.4924991.115948e-08
0.9403771.4924231.125401e-08
0.9453871.4923471.134905e-08
0.9504241.4922711.144459e-08
0.9554881.4921961.154064e-08
0.9605791.4921211.163720e-08
0.9656971.4920461.173428e-08
0.9708421.4919711.183188e-08
0.9760151.4918971.192999e-08
0.9812151.4918221.202863e-08
0.9864431.4917481.212779e-08
0.9916991.4916741.222749e-08
0.9969831.49161.232771e-08
1.00231.4915261.242847e-08
1.007641.4914531.252976e-08
1.0131.4913791.263159e-08
1.01841.4913061.273397e-08
1.023831.4912331.283689e-08
1.029281.491161.294036e-08
1.034771.4910871.304438e-08
1.040281.4910141.314896e-08
1.045821.4909411.325409e-08
1.05141.4908681.335978e-08
1.0571.4907951.346604e-08
1.061.4907571.352300e-08
1.062631.4907231.391441e-08
1.068291.490651.475743e-08
1.073981.4905771.560493e-08
1.07971.4905051.645695e-08
1.085461.4904321.731352e-08
1.091241.490361.817464e-08
1.097061.4902871.904035e-08
1.10291.4902151.991068e-08
1.108781.4901422.078564e-08
1.114681.490072.166527e-08
1.120621.4899972.254958e-08
1.126591.4899242.343861e-08
1.13261.4898522.433237e-08
1.138631.4897792.523089e-08
1.14471.4897062.613420e-08
1.15081.4896332.704232e-08
1.156931.489562.795528e-08
1.163091.4894872.887311e-08
1.169291.4894142.979583e-08
1.175521.489343.072346e-08
1.181781.4892673.165603e-08
1.188081.4891933.259358e-08
1.194411.4891193.353612e-08
1.200771.4890453.448368e-08
1.207171.4889713.543629e-08
1.21361.4888973.639397e-08
1.220071.4888233.735676e-08
1.226571.4887483.832468e-08
1.233111.4886733.929775e-08
1.239681.4885984.027601e-08
1.246281.4885234.125948e-08
1.252921.4884484.224820e-08
1.25961.4883724.324218e-08
1.266311.4882964.424145e-08
1.273061.488224.524605e-08
1.279841.4881444.625600e-08
1.286661.4880674.727134e-08
1.293511.487994.829208e-08
1.30041.4879134.931826e-08
1.307331.4878355.034991e-08
1.31431.4877575.138706e-08
1.32131.4876795.242973e-08
1.328341.48765.347796e-08
1.335421.4875225.453177e-08
1.342531.4874425.559120e-08
1.349691.4873635.665627e-08
1.356881.4872835.772702e-08
1.364111.4872035.880347e-08
1.371381.4871225.988566e-08
1.378681.4870416.097361e-08
1.386031.4869596.206736e-08
1.393411.4868776.316694e-08
1.400841.4867956.427238e-08
1.40831.4867126.538370e-08
1.415811.4866296.650095e-08
1.423351.4865456.762415e-08
1.430931.4864616.875334e-08
1.438561.4863776.988854e-08
1.446221.4862917.102979e-08
1.453931.4862067.217712e-08
1.461671.486127.333056e-08
1.469461.4860337.449015e-08
1.477291.4859467.565592e-08
1.485161.4858587.682790e-08
1.493081.485777.800612e-08
1.501031.4856817.919062e-08
1.509031.4855918.038144e-08
1.517071.4855018.157859e-08
1.525151.4854118.278213e-08
1.531.4853568.350400e-08
1.533281.485329.047414e-08
1.541451.4852281.078453e-07
1.549661.4851351.253089e-07
1.557921.4850421.428657e-07
1.566221.4849481.605159e-07
1.574561.4848541.782603e-07
1.582951.4847591.960991e-07
1.591391.4846632.140330e-07
1.599871.4845662.320625e-07
1.608391.4844692.501880e-07
1.616961.4843712.684101e-07
1.625571.4842722.867293e-07
1.634241.4841723.051461e-07
1.642941.4840723.236610e-07
1.65171.4839713.422745e-07
1.66051.4838693.609873e-07
1.669341.4837673.797997e-07
1.678241.4836633.987124e-07
1.687181.4835594.177258e-07
1.696171.4834534.368406e-07
1.705211.4833474.560572e-07
1.714291.483244.753762e-07
1.723431.4831334.947981e-07
1.732611.4830245.143235e-07
1.741841.4829145.339529e-07
1.751121.4828035.536869e-07
1.760451.4826925.735261e-07
1.769831.4825795.934710e-07
1.779261.4824666.135221e-07
1.788741.4823516.336801e-07
1.798271.4822366.539455e-07
1.807851.4821196.743188e-07
1.817491.4820026.948007e-07
1.827171.4818837.153917e-07
1.83691.4817637.360925e-07
1.846691.4816427.569035e-07
1.856531.481527.778254e-07
1.866421.4813977.988588e-07
1.876371.4812738.200043e-07
1.886371.4811488.412624e-07
1.896421.4810218.626338e-07
1.906521.4808938.841191e-07
1.916681.4807649.057188e-07
1.926891.4806349.274336e-07
1.937161.4805039.492641e-07
1.947481.480379.712110e-07
1.957851.4802369.932747e-07
1.968291.4801011.015456e-06
1.971.4800781.019100e-06
1.978771.4799641.078421e-06
1.989321.4798261.149707e-06
1.999921.4796871.221373e-06
2.010571.4795461.293421e-06
2.021281.4794041.365852e-06
2.032051.479261.438670e-06
2.042881.4791151.511876e-06
2.053771.4789691.585471e-06
2.064711.4788211.659459e-06
2.075711.4786711.733841e-06
2.086771.478521.808619e-06
2.097891.4783681.883795e-06
2.109061.4782141.959373e-06
2.12031.4780582.035352e-06
2.13161.4779012.111737e-06
2.142961.4777422.188529e-06
2.154371.4775812.265730e-06
2.165851.4774192.343342e-06
2.177391.4772552.421367e-06
2.188991.4770892.499809e-06
2.200661.4769222.578668e-06
2.212381.4767532.657948e-06
2.224171.4765812.737650e-06
2.236021.4764092.817776e-06
2.247931.4762342.898330e-06
2.259911.4760572.979312e-06
2.271951.4758783.060727e-06
2.284061.4756983.142574e-06
2.296231.4755153.224859e-06
2.308461.4753313.307581e-06
2.320761.4751443.390744e-06
2.3251.475083.419400e-06
2.333131.4749563.502268e-06
2.345561.4747653.629023e-06
2.358061.4745723.756453e-06
2.370621.4743783.884562e-06
2.383251.474184.013354e-06
2.395951.4739814.142831e-06
2.408711.473784.272999e-06
2.421551.4735764.403860e-06
2.434451.473374.535419e-06
2.447421.4731614.667678e-06
2.460461.4729514.800642e-06
2.473571.4727374.934315e-06
2.486751.4725225.068699e-06
2.51.4723045.203800e-06

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
—