Optical constants

Refractive index of D-K9-25 (CDGM)

D-K9-25: n,k 0.302–2.325 µm

Data
formula 2 + tabulated k
Range
0.302–2.325 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.302–2.325 µm
Refractive index n
1.51577
Extinction coefficient k
1.51379e-08
Permittivity ε1
2.29755
Permittivity ε2
4.58910e-08
Absorption coefficient α
0.00323737 cm⁻¹
Penetration depth δ = λ/(2πk)
6.17785e+09 nm
Abbe number Vd
63.99
Chromatic dispersion dn/dλ
-0.0418477 µm⁻¹
Group index ng
1.54036
Group velocity dispersion
70.1623 fs²/mm
Dispersion parameter D
-382.773 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

# D-K9-25 (CDGM): D-K9-25
cdgm_d_k9_25 = ls.fetch_refractiveindex("specs", "CDGM-optical", "D-K9-25", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_d_k9_25.range_nm)  # (302, 2325) nm
eps = cdgm_d_k9_25.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=1.08234297λ2λ2−107.907645+0.548438846λ2λ2−0.002190929+0.719999855λ2λ2−0.013407002

Valid from 0.302 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C21.08234297
C3107.907645
C40.548438846
C50.002190929
C60.719999855
C70.013407002

Comments and conditions

anneal rate:25°C/h

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 4.87e-06 1.55e-08 -1.35e-11 4.17e-07 5.2e-10 0.177
nd
1.515770
Vd
63.989637
glass code
516640
density
value: 2410
thermal expansion
value: 6.3e-06, temperature range: 243 343; value: 7.8e-06, temperature range: 293 573
dPgF
-0.0029
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 2.56e-06 K⁻¹ at 633 nm, dn/dT = 2.14e-06 K⁻¹ at 1310 nm, dn/dT = 2.10e-06 K⁻¹ at 1550 nm

References

Cite

CDGM Zemax catalog 2022-06 (obtained from http://www.cdgmgd.com); See also CDGM optical 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 431 wavelengths, the same grid as the API and the library
D-K9-25 (CDGM), D-K9-25: n and k versus wavelength
λ (µm)nk
0.3021.5508393.001020e-06
0.3035491.5503142.747263e-06
0.3051061.5497962.492204e-06
0.306671.5492842.235837e-06
0.3082431.5487791.978156e-06
0.3098241.5482811.719153e-06
0.311.5482261.690300e-06
0.3114131.5477881.567187e-06
0.313011.5473021.428019e-06
0.3146151.5468231.288136e-06
0.3162291.5463491.147537e-06
0.317851.5458811.006216e-06
0.3194811.5454198.641709e-07
0.321.5452748.189100e-07
0.3211191.5449637.715921e-07
0.3227661.5445137.019561e-07
0.3244211.5440686.319629e-07
0.3260851.5436295.616109e-07
0.3277571.5431954.908980e-07
0.3294381.5427674.198224e-07
0.331.5426253.960700e-07
0.3311281.5423433.712574e-07
0.3328261.5419263.338954e-07
0.3345331.5415132.963419e-07
0.3362491.5411052.585957e-07
0.3379731.5407022.206559e-07
0.3397061.5403041.825216e-07
0.341.5402381.760600e-07
0.3414481.5399111.670272e-07
0.34321.5395231.561072e-07
0.344961.539141.451312e-07
0.3467291.5387611.340989e-07
0.3485071.5383861.230100e-07
0.351.5380771.137000e-07
0.3502941.5380161.119707e-07
0.3520911.5376511.014172e-07
0.3538971.537299.080958e-08
0.3557121.5369338.014757e-08
0.3575361.5365816.943089e-08
0.3593691.5362325.865924e-08
0.361.5361145.495500e-08
0.3612121.5358885.224052e-08
0.3630651.5355484.809318e-08
0.3649271.5352124.392457e-08
0.3667981.534883.973458e-08
0.368681.5345513.552311e-08
0.371.5343243.256700e-08
0.370571.5342273.209484e-08
0.3724711.5339063.052162e-08
0.3743811.5335892.894034e-08
0.3763011.5332762.735095e-08
0.3782311.5329662.575341e-08
0.381.5326872.428900e-08
0.3801711.532662.419319e-08
0.382121.5323582.309901e-08
0.384081.5320592.199922e-08
0.386051.5317632.089379e-08
0.388031.5314711.978269e-08
0.391.5311851.867700e-08
0.390021.5311821.866529e-08
0.392021.5308961.748135e-08
0.394031.5306141.629135e-08
0.3960511.5303351.509524e-08
0.3980821.5300591.389300e-08
0.41.5298021.275800e-08
0.4001241.5297861.276196e-08
0.4021761.5295161.282742e-08
0.4042391.5292491.289321e-08
0.4063121.5289851.295935e-08
0.4083961.5287251.302582e-08
0.410491.5284671.309263e-08
0.4125951.5282121.315979e-08
0.4147111.5279591.322729e-08
0.4168381.527711.329513e-08
0.4189761.5274631.336333e-08
0.421.5273471.339600e-08
0.4211251.5272191.343187e-08
0.4232841.5269781.350077e-08
0.4254551.526741.357002e-08
0.4276371.5265041.363962e-08
0.429831.526271.370958e-08
0.4320351.5260391.377990e-08
0.434251.5258111.385058e-08
0.4364771.5255851.392163e-08
0.4387161.5253611.399304e-08
0.441.5252351.403400e-08
0.4409661.525141.406481e-08
0.4432271.5249221.413695e-08
0.44551.5247051.420946e-08
0.4477851.5244911.428235e-08
0.4500821.524281.435560e-08
0.452391.524071.442924e-08
0.454711.5238631.450325e-08
0.4570421.5236581.457764e-08
0.4593861.5234551.465241e-08
0.461.5234031.467200e-08
0.4617421.5232541.472757e-08
0.464111.5230561.480311e-08
0.466491.5228591.487903e-08
0.4688831.5226651.495535e-08
0.4712871.5224721.503206e-08
0.4737041.5222821.510916e-08
0.4761341.5220931.518666e-08
0.4785751.5219071.526456e-08
0.481.5217991.531000e-08
0.481031.5217221.534280e-08
0.4834971.521541.542137e-08
0.4859761.5213591.550035e-08
0.4884691.521181.557973e-08
0.4909741.5210031.565952e-08
0.4934921.5208271.573971e-08
0.4960231.5206541.582032e-08
0.4985671.5204821.590135e-08
0.51.5203861.594700e-08
0.5011231.5203121.598284e-08
0.5036931.5201431.606482e-08
0.5062771.5199771.614723e-08
0.5088731.5198121.623005e-08
0.5114831.5196481.631330e-08
0.5141061.5194871.639698e-08
0.5167431.5193261.648109e-08
0.5193931.5191681.656563e-08
0.5220561.5190111.665060e-08
0.5247341.5188551.673601e-08
0.5274251.5187011.682186e-08
0.530131.5185491.690814e-08
0.5328491.5183981.699487e-08
0.5355811.5182481.708205e-08
0.5383281.51811.716967e-08
0.5410891.5179531.725774e-08
0.5438641.5178081.734626e-08
0.5466531.5176641.743524e-08
0.5494571.5175211.752467e-08
0.551.5174941.754200e-08
0.5522751.517381.739656e-08
0.5551071.517241.721546e-08
0.5579541.5171021.703344e-08
0.5608151.5169641.685047e-08
0.5636911.5168281.666657e-08
0.5665821.5166931.648173e-08
0.5694881.516561.629594e-08
0.5724091.5164281.610919e-08
0.5753441.5162961.592149e-08
0.5782951.5161661.573282e-08
0.5812611.5160381.554319e-08
0.5842421.515911.535258e-08
0.5872381.5157841.516100e-08
0.590251.5156581.496844e-08
0.5932771.5155341.477488e-08
0.5963191.5154111.458034e-08
0.5993781.5152891.438479e-08
0.61.5152641.434500e-08
0.6024521.5151681.414937e-08
0.6055411.5150481.390281e-08
0.6086471.5149291.365499e-08
0.6117681.5148111.340590e-08
0.6149061.5146941.315553e-08
0.6180591.5145781.290387e-08
0.6212291.5144631.265093e-08
0.6244151.5143491.239669e-08
0.6276171.5142361.214114e-08
0.6308361.5141241.188429e-08
0.6340711.5140131.162611e-08
0.6373231.5139021.136662e-08
0.6405921.5137931.110579e-08
0.6438771.5136841.084362e-08
0.6471791.5135771.058011e-08
0.651.5134861.035500e-08
0.6504981.513471.036294e-08
0.6538341.5133641.041612e-08
0.6571871.5132591.046957e-08
0.6605581.5131541.052329e-08
0.6639451.5130511.057729e-08
0.6673511.5129481.063157e-08
0.6707731.5128461.068612e-08
0.6742131.5127451.074096e-08
0.6776711.5126451.079607e-08
0.6811461.5125451.085147e-08
0.684641.5124461.090715e-08
0.6881511.5123481.096312e-08
0.691681.512251.101938e-08
0.6952271.5121531.107592e-08
0.6987931.5120571.113276e-08
0.71.5120251.115200e-08
0.7023761.5119621.118986e-08
0.7059791.5118671.124724e-08
0.7095991.5117731.130492e-08
0.7132381.5116791.136289e-08
0.7168961.5115861.142116e-08
0.7205731.5114941.147973e-08
0.7242681.5114021.153860e-08
0.7279831.5113111.159777e-08
0.7317161.5112211.165724e-08
0.7354691.5111311.171702e-08
0.7392411.5110411.177711e-08
0.7430321.5109521.183750e-08
0.7468431.5108641.189820e-08
0.7506731.5107761.195922e-08
0.7545231.5106891.202055e-08
0.7583921.5106021.208219e-08
0.7622821.5105161.214415e-08
0.7661911.5104311.220642e-08
0.770121.5103451.226902e-08
0.774071.5102611.233194e-08
0.778041.5101761.239517e-08
0.782031.5100921.245874e-08
0.7860411.5100091.252263e-08
0.7900721.5099261.258685e-08
0.7941241.5098441.265139e-08
0.7981961.5097611.271627e-08
0.81.5097251.274500e-08
0.802291.509681.278150e-08
0.8064051.5095981.284709e-08
0.810541.5095171.291301e-08
0.8146971.5094371.297927e-08
0.8188751.5093571.304587e-08
0.8230751.5092771.311281e-08
0.8272961.5091971.318010e-08
0.8315391.5091181.324773e-08
0.8358031.509041.331571e-08
0.840091.5089611.338403e-08
0.8443981.5088831.345271e-08
0.8487291.5088051.352174e-08
0.851.5087821.354200e-08
0.8530821.5087281.359106e-08
0.8574571.508651.366071e-08
0.8618541.5085731.373072e-08
0.8662741.5084971.380108e-08
0.8707171.508421.387181e-08
0.8751821.5083441.394290e-08
0.8796711.5082681.401436e-08
0.8841821.5081921.408618e-08
0.8887171.5081171.415837e-08
0.8932741.5080421.423093e-08
0.8978561.5079671.430386e-08
0.91.5079321.433800e-08
0.902461.5078921.437722e-08
0.9070881.5078171.445099e-08
0.9117411.5077431.452514e-08
0.9164161.5076681.459968e-08
0.9211161.5075941.467459e-08
0.925841.507521.474989e-08
0.9305881.5074471.482558e-08
0.9353611.5073731.490165e-08
0.9401581.5072991.497812e-08
0.944981.5072261.505497e-08
0.9498261.5071531.513222e-08
0.951.507151.513500e-08
0.9546971.507081.520978e-08
0.9595931.5070071.528772e-08
0.9645151.5069341.536607e-08
0.9694611.5068611.544482e-08
0.9744331.5067881.552397e-08
0.979431.5067151.560353e-08
0.9844531.5066431.568350e-08
0.9895021.506571.576387e-08
0.9945771.5064981.584466e-08
0.9996781.5064251.592587e-08
11.5064211.593100e-08
1.00481.5063531.600755e-08
1.009961.506281.608966e-08
1.015141.5062081.617219e-08
1.020341.5061351.625514e-08
1.025581.5060631.633851e-08
1.030841.5059911.642232e-08
1.036121.5059181.650655e-08
1.041441.5058461.659122e-08
1.046781.5057731.667632e-08
1.052151.5057011.676185e-08
1.057541.5056281.684783e-08
1.061.5055951.688700e-08
1.062971.5055551.693425e-08
1.068421.5054831.702113e-08
1.07391.505411.710844e-08
1.07941.5053371.719621e-08
1.084941.5052641.728443e-08
1.09051.5051911.737309e-08
1.09611.5051181.746222e-08
1.101721.5050451.755180e-08
1.107371.5049711.764184e-08
1.113051.5048981.773234e-08
1.118761.5048241.782330e-08
1.124491.504751.791474e-08
1.130261.5046761.800664e-08
1.136061.5046021.809901e-08
1.141881.5045281.819185e-08
1.147741.5044531.828518e-08
1.153621.5043791.837898e-08
1.159541.5043041.847326e-08
1.165491.5042291.856802e-08
1.171471.5041531.866328e-08
1.177471.5040781.875902e-08
1.183511.5040021.885525e-08
1.189581.5039261.895197e-08
1.195681.503851.904919e-08
1.21.5037961.911800e-08
1.201811.5037732.078018e-08
1.207981.5036962.642726e-08
1.214171.5036193.210330e-08
1.22041.5035423.780846e-08
1.226661.5034654.354287e-08
1.232951.5033874.930669e-08
1.239271.5033085.510007e-08
1.245631.503236.092316e-08
1.252021.5031516.677611e-08
1.258441.5030727.265908e-08
1.264891.5029927.857223e-08
1.271381.5029128.451570e-08
1.27791.5028329.048964e-08
1.284451.5027519.649423e-08
1.291041.502671.025296e-07
1.297661.5025891.085959e-07
1.304321.5025071.146934e-07
1.311011.5024251.208221e-07
1.317731.5023421.269823e-07
1.324491.5022591.331740e-07
1.331281.5021761.393975e-07
1.338111.5020921.456529e-07
1.344971.5020071.519404e-07
1.351871.5019231.582601e-07
1.35881.5018371.646123e-07
1.365771.5017511.709970e-07
1.372771.5016651.774145e-07
1.379811.5015781.838649e-07
1.386891.5014911.903483e-07
1.3941.5014031.968650e-07
1.41.5013292.023600e-07
1.401151.5013152.015622e-07
1.408341.5012261.965847e-07
1.415561.5011361.915816e-07
1.422821.5010461.865529e-07
1.430121.5009551.814984e-07
1.437451.5008641.764179e-07
1.444821.5007721.713114e-07
1.452231.500681.661787e-07
1.459681.5005871.610197e-07
1.467171.5004931.558342e-07
1.474691.5003991.506222e-07
1.482251.5003041.453834e-07
1.489861.5002081.401177e-07
1.49751.5001121.348250e-07
1.505181.5000151.295052e-07
1.51291.4999171.241581e-07
1.520651.4998191.187836e-07
1.528451.4997191.133815e-07
1.536291.499621.079517e-07
1.544171.4995191.024941e-07
1.552091.4994189.700846e-08
1.560051.4993159.149470e-08
1.568051.4992128.595267e-08
1.576091.4991098.038221e-08
1.584181.4990047.478319e-08
1.59231.4988996.915545e-08
1.61.4987996.382200e-08
1.600471.4987936.400893e-08
1.608671.4986866.729780e-08
1.616921.4985787.060354e-08
1.625221.4984697.392623e-08
1.633551.4983597.726596e-08
1.641931.4982498.062282e-08
1.650351.4981378.399689e-08
1.658811.4980258.738827e-08
1.667321.4979129.079704e-08
1.675871.4977979.422330e-08
1.684471.4976829.766712e-08
1.693111.4975661.011286e-07
1.701791.4974491.046078e-07
1.710521.4973311.081049e-07
1.719291.4972111.116199e-07
1.728111.4970911.151530e-07
1.736971.496971.187042e-07
1.745881.4968471.222735e-07
1.754831.4967241.258612e-07
1.763831.4965991.294673e-07
1.772881.4964741.330919e-07
1.781971.4963471.367350e-07
1.791111.4962191.403969e-07
1.81.4960941.439600e-07
1.800291.496091.442681e-07
1.809531.495961.539667e-07
1.818811.4958281.637151e-07
1.828131.4956961.735134e-07
1.837511.4955621.833620e-07
1.846931.4954261.932612e-07
1.856411.495292.032110e-07
1.865931.4951522.132120e-07
1.87551.4950132.232642e-07
1.885111.4948732.333679e-07
1.894781.4947322.435235e-07
1.90451.4945892.537312e-07
1.914271.4944442.639912e-07
1.924081.4942992.743038e-07
1.933951.4941512.846693e-07
1.943871.4940032.950880e-07
1.953841.4938533.055601e-07
1.963861.4937013.160859e-07
1.973931.4935493.266657e-07
1.984051.4933943.372998e-07
1.994231.4932383.479884e-07
21.4931493.540500e-07
2.004461.4930813.846725e-07
2.014741.4929224.553030e-07
2.025071.4927615.262958e-07
2.035461.4925995.976527e-07
2.045891.4924356.693755e-07
2.056391.4922697.414661e-07
2.066931.4921028.139265e-07
2.077531.4919338.867585e-07
2.088191.4917639.599640e-07
2.09891.491591.033545e-06
2.109661.4914161.107503e-06
2.120481.491241.181841e-06
2.131361.4910631.256560e-06
2.142291.4908831.331662e-06
2.153271.4907021.407149e-06
2.164321.4905191.483023e-06
2.175421.4903331.559287e-06
2.186571.4901461.635941e-06
2.197791.4899571.712989e-06
2.21.489921.728200e-06
2.209061.4897661.798681e-06
2.220391.4895731.886839e-06
2.231771.4893781.975449e-06
2.243221.4891812.064514e-06
2.254721.4889822.154035e-06
2.266291.488782.244016e-06
2.277911.4885772.334457e-06
2.289591.4883712.425363e-06
2.301331.4881632.516735e-06
2.313141.4879532.608576e-06
2.3251.4877412.700888e-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
—