Optical constants

Refractive index of D-K9 (CDGM)

D-K9: 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
1.51633
Extinction coefficient k
1.51379e-08
Permittivity ε1
2.29925
Permittivity ε2
4.59079e-08
Absorption coefficient α
0.00323737 cm⁻¹
Penetration depth δ = λ/(2πk)
6.17785e+09 nm
Abbe number Vd
64.059
Chromatic dispersion dn/dλ
-0.041848 µm⁻¹
Group index ng
1.54092
Group velocity dispersion
70.1609 fs²/mm
Dispersion parameter D
-382.765 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 (CDGM): D-K9
cdgm_d_k9 = ls.fetch_refractiveindex("specs", "CDGM-optical", "D-K9", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_d_k9.range_nm)  # (302, 2325) nm
eps = cdgm_d_k9.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=0.567853792λ2λ2−0.00238581579+0.702269689λ2λ2−0.0135348332+1.08102455λ2λ2−107.748228

Valid from 0.302 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.567853792
C30.00238581579
C40.702269689
C50.0135348332
C61.08102455
C7107.748228

Comments and conditions

anneal rate:4°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
1.516330
Vd
64.058952
glass code
516641
density
value: 2410
thermal expansion
value: 6.3e-06, temperature range: 243 343; value: 7.8e-06, temperature range: 293 573
dPgF
-0.0027
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 (CDGM), D-K9: n and k versus wavelength
λ (µm)nk
0.3021.55143.001020e-06
0.3035491.5508742.747263e-06
0.3051061.5503562.492204e-06
0.306671.5498452.235837e-06
0.3082431.5493391.978156e-06
0.3098241.5488411.719153e-06
0.311.5487861.690300e-06
0.3114131.5483491.567187e-06
0.313011.5478631.428019e-06
0.3146151.5473831.288136e-06
0.3162291.5469091.147537e-06
0.317851.5464411.006216e-06
0.3194811.5459798.641709e-07
0.321.5458348.189100e-07
0.3211191.5455237.715921e-07
0.3227661.5450737.019561e-07
0.3244211.5446286.319629e-07
0.3260851.5441895.616109e-07
0.3277571.5437554.908980e-07
0.3294381.5433264.198224e-07
0.331.5431853.960700e-07
0.3311281.5429033.712574e-07
0.3328261.5424853.338954e-07
0.3345331.5420732.963419e-07
0.3362491.5416652.585957e-07
0.3379731.5412622.206559e-07
0.3397061.5408641.825216e-07
0.341.5407971.760600e-07
0.3414481.5404711.670272e-07
0.34321.5400831.561072e-07
0.344961.5396991.451312e-07
0.3467291.539321.340989e-07
0.3485071.5389461.230100e-07
0.351.5386371.137000e-07
0.3502941.5385761.119707e-07
0.3520911.5382111.014172e-07
0.3538971.537859.080958e-08
0.3557121.5374938.014757e-08
0.3575361.537146.943089e-08
0.3593691.5367925.865924e-08
0.361.5366745.495500e-08
0.3612121.5364485.224052e-08
0.3630651.5361084.809318e-08
0.3649271.5357724.392457e-08
0.3667981.5354393.973458e-08
0.368681.5351113.552311e-08
0.371.5348843.256700e-08
0.370571.5347873.209484e-08
0.3724711.5344663.052162e-08
0.3743811.5341492.894034e-08
0.3763011.5338362.735095e-08
0.3782311.5335262.575341e-08
0.381.5332472.428900e-08
0.3801711.533222.419319e-08
0.382121.5329172.309901e-08
0.384081.5326182.199922e-08
0.386051.5323232.089379e-08
0.388031.5320311.978269e-08
0.391.5317441.867700e-08
0.390021.5317421.866529e-08
0.392021.5314561.748135e-08
0.394031.5311741.629135e-08
0.3960511.5308951.509524e-08
0.3980821.5306191.389300e-08
0.41.5303621.275800e-08
0.4001241.5303461.276196e-08
0.4021761.5300761.282742e-08
0.4042391.5298091.289321e-08
0.4063121.5295451.295935e-08
0.4083961.5292841.302582e-08
0.410491.5290271.309263e-08
0.4125951.5287721.315979e-08
0.4147111.5285191.322729e-08
0.4168381.528271.329513e-08
0.4189761.5280231.336333e-08
0.421.5279061.339600e-08
0.4211251.5277791.343187e-08
0.4232841.5275381.350077e-08
0.4254551.5272991.357002e-08
0.4276371.5270631.363962e-08
0.429831.526831.370958e-08
0.4320351.5265991.377990e-08
0.434251.5263711.385058e-08
0.4364771.5261451.392163e-08
0.4387161.5259211.399304e-08
0.441.5257951.403400e-08
0.4409661.52571.406481e-08
0.4432271.5254821.413695e-08
0.44551.5252651.420946e-08
0.4477851.5250511.428235e-08
0.4500821.524841.435560e-08
0.452391.524631.442924e-08
0.454711.5244231.450325e-08
0.4570421.5242181.457764e-08
0.4593861.5240151.465241e-08
0.461.5239631.467200e-08
0.4617421.5238141.472757e-08
0.464111.5236161.480311e-08
0.466491.5234191.487903e-08
0.4688831.5232251.495535e-08
0.4712871.5230321.503206e-08
0.4737041.5228421.510916e-08
0.4761341.5226531.518666e-08
0.4785751.5224671.526456e-08
0.481.5223591.531000e-08
0.481031.5222821.534280e-08
0.4834971.52211.542137e-08
0.4859761.5219191.550035e-08
0.4884691.521741.557973e-08
0.4909741.5215631.565952e-08
0.4934921.5213871.573971e-08
0.4960231.5212141.582032e-08
0.4985671.5210421.590135e-08
0.51.5209461.594700e-08
0.5011231.5208721.598284e-08
0.5036931.5207031.606482e-08
0.5062771.5205371.614723e-08
0.5088731.5203721.623005e-08
0.5114831.5202081.631330e-08
0.5141061.5200471.639698e-08
0.5167431.5198861.648109e-08
0.5193931.5197281.656563e-08
0.5220561.5195711.665060e-08
0.5247341.5194151.673601e-08
0.5274251.5192611.682186e-08
0.530131.5191091.690814e-08
0.5328491.5189581.699487e-08
0.5355811.5188081.708205e-08
0.5383281.518661.716967e-08
0.5410891.5185131.725774e-08
0.5438641.5183681.734626e-08
0.5466531.5182241.743524e-08
0.5494571.5180811.752467e-08
0.551.5180541.754200e-08
0.5522751.517941.739656e-08
0.5551071.51781.721546e-08
0.5579541.5176621.703344e-08
0.5608151.5175241.685047e-08
0.5636911.5173881.666657e-08
0.5665821.5172531.648173e-08
0.5694881.517121.629594e-08
0.5724091.5169881.610919e-08
0.5753441.5168561.592149e-08
0.5782951.5167261.573282e-08
0.5812611.5165981.554319e-08
0.5842421.516471.535258e-08
0.5872381.5163441.516100e-08
0.590251.5162181.496844e-08
0.5932771.5160941.477488e-08
0.5963191.5159711.458034e-08
0.5993781.5158491.438479e-08
0.61.5158241.434500e-08
0.6024521.5157281.414937e-08
0.6055411.5156081.390281e-08
0.6086471.5154891.365499e-08
0.6117681.5153711.340590e-08
0.6149061.5152541.315553e-08
0.6180591.5151381.290387e-08
0.6212291.5150231.265093e-08
0.6244151.5149091.239669e-08
0.6276171.5147961.214114e-08
0.6308361.5146841.188429e-08
0.6340711.5145731.162611e-08
0.6373231.5144621.136662e-08
0.6405921.5143531.110579e-08
0.6438771.5142441.084362e-08
0.6471791.5141371.058011e-08
0.651.5140461.035500e-08
0.6504981.514031.036294e-08
0.6538341.5139241.041612e-08
0.6571871.5138191.046957e-08
0.6605581.5137141.052329e-08
0.6639451.5136111.057729e-08
0.6673511.5135081.063157e-08
0.6707731.5134061.068612e-08
0.6742131.5133051.074096e-08
0.6776711.5132051.079607e-08
0.6811461.5131051.085147e-08
0.684641.5130061.090715e-08
0.6881511.5129081.096312e-08
0.691681.512811.101938e-08
0.6952271.5127131.107592e-08
0.6987931.5126171.113276e-08
0.71.5125851.115200e-08
0.7023761.5125221.118986e-08
0.7059791.5124271.124724e-08
0.7095991.5123331.130492e-08
0.7132381.5122391.136289e-08
0.7168961.5121461.142116e-08
0.7205731.5120541.147973e-08
0.7242681.5119621.153860e-08
0.7279831.5118711.159777e-08
0.7317161.511781.165724e-08
0.7354691.5116911.171702e-08
0.7392411.5116011.177711e-08
0.7430321.5115121.183750e-08
0.7468431.5114241.189820e-08
0.7506731.5113361.195922e-08
0.7545231.5112491.202055e-08
0.7583921.5111621.208219e-08
0.7622821.5110761.214415e-08
0.7661911.510991.220642e-08
0.770121.5109051.226902e-08
0.774071.510821.233194e-08
0.778041.5107361.239517e-08
0.782031.5106521.245874e-08
0.7860411.5105691.252263e-08
0.7900721.5104861.258685e-08
0.7941241.5104031.265139e-08
0.7981961.5103211.271627e-08
0.81.5102851.274500e-08
0.802291.510241.278150e-08
0.8064051.5101581.284709e-08
0.810541.5100771.291301e-08
0.8146971.5099971.297927e-08
0.8188751.5099171.304587e-08
0.8230751.5098371.311281e-08
0.8272961.5097571.318010e-08
0.8315391.5096781.324773e-08
0.8358031.5095991.331571e-08
0.840091.5095211.338403e-08
0.8443981.5094431.345271e-08
0.8487291.5093651.352174e-08
0.851.5093421.354200e-08
0.8530821.5092871.359106e-08
0.8574571.509211.366071e-08
0.8618541.5091331.373072e-08
0.8662741.5090571.380108e-08
0.8707171.508981.387181e-08
0.8751821.5089041.394290e-08
0.8796711.5088281.401436e-08
0.8841821.5087521.408618e-08
0.8887171.5086771.415837e-08
0.8932741.5086021.423093e-08
0.8978561.5085271.430386e-08
0.91.5084921.433800e-08
0.902461.5084521.437722e-08
0.9070881.5083771.445099e-08
0.9117411.5083031.452514e-08
0.9164161.5082281.459968e-08
0.9211161.5081541.467459e-08
0.925841.508081.474989e-08
0.9305881.5080071.482558e-08
0.9353611.5079331.490165e-08
0.9401581.5078591.497812e-08
0.944981.5077861.505497e-08
0.9498261.5077131.513222e-08
0.951.507711.513500e-08
0.9546971.507641.520978e-08
0.9595931.5075671.528772e-08
0.9645151.5074941.536607e-08
0.9694611.5074211.544482e-08
0.9744331.5073481.552397e-08
0.979431.5072751.560353e-08
0.9844531.5072031.568350e-08
0.9895021.507131.576387e-08
0.9945771.5070581.584466e-08
0.9996781.5069851.592587e-08
11.506981.593100e-08
1.00481.5069131.600755e-08
1.009961.506841.608966e-08
1.015141.5067681.617219e-08
1.020341.5066951.625514e-08
1.025581.5066231.633851e-08
1.030841.506551.642232e-08
1.036121.5064781.650655e-08
1.041441.5064061.659122e-08
1.046781.5063331.667632e-08
1.052151.5062611.676185e-08
1.057541.5061881.684783e-08
1.061.5061551.688700e-08
1.062971.5061151.693425e-08
1.068421.5060431.702113e-08
1.07391.505971.710844e-08
1.07941.5058971.719621e-08
1.084941.5058241.728443e-08
1.09051.5057511.737309e-08
1.09611.5056781.746222e-08
1.101721.5056041.755180e-08
1.107371.5055311.764184e-08
1.113051.5054571.773234e-08
1.118761.5053841.782330e-08
1.124491.505311.791474e-08
1.130261.5052361.800664e-08
1.136061.5051621.809901e-08
1.141881.5050881.819185e-08
1.147741.5050131.828518e-08
1.153621.5049381.837898e-08
1.159541.5048641.847326e-08
1.165491.5047881.856802e-08
1.171471.5047131.866328e-08
1.177471.5046381.875902e-08
1.183511.5045621.885525e-08
1.189581.5044861.895197e-08
1.195681.504411.904919e-08
1.21.5043561.911800e-08
1.201811.5043332.078018e-08
1.207981.5042562.642726e-08
1.214171.5041793.210330e-08
1.22041.5041023.780846e-08
1.226661.5040244.354287e-08
1.232951.5039464.930669e-08
1.239271.5038685.510007e-08
1.245631.503796.092316e-08
1.252021.5037116.677611e-08
1.258441.5036327.265908e-08
1.264891.5035527.857223e-08
1.271381.5034728.451570e-08
1.27791.5033929.048964e-08
1.284451.5033119.649423e-08
1.291041.503231.025296e-07
1.297661.5031491.085959e-07
1.304321.5030671.146934e-07
1.311011.5029851.208221e-07
1.317731.5029021.269823e-07
1.324491.5028191.331740e-07
1.331281.5027361.393975e-07
1.338111.5026521.456529e-07
1.344971.5025671.519404e-07
1.351871.5024831.582601e-07
1.35881.5023971.646123e-07
1.365771.5023111.709970e-07
1.372771.5022251.774145e-07
1.379811.5021381.838649e-07
1.386891.5020511.903483e-07
1.3941.5019631.968650e-07
1.41.5018892.023600e-07
1.401151.5018752.015622e-07
1.408341.5017861.965847e-07
1.415561.5016961.915816e-07
1.422821.5016061.865529e-07
1.430121.5015151.814984e-07
1.437451.5014241.764179e-07
1.444821.5013321.713114e-07
1.452231.501241.661787e-07
1.459681.5011471.610197e-07
1.467171.5010531.558342e-07
1.474691.5009591.506222e-07
1.482251.5008641.453834e-07
1.489861.5007681.401177e-07
1.49751.5006721.348250e-07
1.505181.5005751.295052e-07
1.51291.5004771.241581e-07
1.520651.5003791.187836e-07
1.528451.5002791.133815e-07
1.536291.500181.079517e-07
1.544171.5000791.024941e-07
1.552091.4999789.700846e-08
1.560051.4998759.149470e-08
1.568051.4997728.595267e-08
1.576091.4996698.038221e-08
1.584181.4995647.478319e-08
1.59231.4994596.915545e-08
1.61.4993596.382200e-08
1.600471.4993536.400893e-08
1.608671.4992466.729780e-08
1.616921.4991387.060354e-08
1.625221.4990297.392623e-08
1.633551.4989197.726596e-08
1.641931.4988098.062282e-08
1.650351.4986978.399689e-08
1.658811.4985858.738827e-08
1.667321.4984729.079704e-08
1.675871.4983579.422330e-08
1.684471.4982429.766712e-08
1.693111.4981261.011286e-07
1.701791.4980091.046078e-07
1.710521.4978911.081049e-07
1.719291.4977711.116199e-07
1.728111.4976511.151530e-07
1.736971.497531.187042e-07
1.745881.4974081.222735e-07
1.754831.4972841.258612e-07
1.763831.4971591.294673e-07
1.772881.4970341.330919e-07
1.781971.4969071.367350e-07
1.791111.4967791.403969e-07
1.81.4966541.439600e-07
1.800291.496651.442681e-07
1.809531.496521.539667e-07
1.818811.4963881.637151e-07
1.828131.4962561.735134e-07
1.837511.4961221.833620e-07
1.846931.4959871.932612e-07
1.856411.495852.032110e-07
1.865931.4957122.132120e-07
1.87551.4955742.232642e-07
1.885111.4954332.333679e-07
1.894781.4952922.435235e-07
1.90451.4951492.537312e-07
1.914271.4950042.639912e-07
1.924081.4948592.743038e-07
1.933951.4947122.846693e-07
1.943871.4945632.950880e-07
1.953841.4944133.055601e-07
1.963861.4942623.160859e-07
1.973931.4941093.266657e-07
1.984051.4939543.372998e-07
1.994231.4937983.479884e-07
21.4937093.540500e-07
2.004461.4936413.846725e-07
2.014741.4934824.553030e-07
2.025071.4933215.262958e-07
2.035461.4931595.976527e-07
2.045891.4929956.693755e-07
2.056391.4928297.414661e-07
2.066931.4926628.139265e-07
2.077531.4924938.867585e-07
2.088191.4923239.599640e-07
2.09891.492151.033545e-06
2.109661.4919761.107503e-06
2.120481.49181.181841e-06
2.131361.4916231.256560e-06
2.142291.4914431.331662e-06
2.153271.4912621.407149e-06
2.164321.4910791.483023e-06
2.175421.4908931.559287e-06
2.186571.4907061.635941e-06
2.197791.4905171.712989e-06
2.21.490481.728200e-06
2.209061.4903261.798681e-06
2.220391.4901331.886839e-06
2.231771.4899381.975449e-06
2.243221.4897412.064514e-06
2.254721.4895422.154035e-06
2.266291.489342.244016e-06
2.277911.4891372.334457e-06
2.289591.4889312.425363e-06
2.301331.4887232.516735e-06
2.313141.4885132.608576e-06
2.3251.4883012.700888e-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
—