Optical constants

Refractive index of D-K59 (CDGM)

D-K59: 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. Note: k data cover 310-2400 nm only; k = 0 elsewhere in the n range 302-2325 nm.

At one wavelength

Range 0.302–2.325 µm
Refractive index n
1.5176
Extinction coefficient k
3.17544e-08
Permittivity ε1
2.3031
Permittivity ε2
9.63808e-08
Absorption coefficient α
0.00679097 cm⁻¹
Penetration depth δ = λ/(2πk)
2.94509e+09 nm
Abbe number Vd
63.5
Chromatic dispersion dn/dλ
-0.0422989 µm⁻¹
Group index ng
1.54245
Group velocity dispersion
71.0902 fs²/mm
Dispersion parameter D
-387.835 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-K59 (CDGM): D-K59
cdgm_d_k59 = ls.fetch_refractiveindex("specs", "CDGM-optical", "D-K59", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_d_k59.range_nm)  # (302, 2325) nm
eps = cdgm_d_k59.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=1.1209538λ2λ2−0.00657908073+0.152690608λ2λ2−0.0235724778+1.07502924λ2λ2−106.309977

Valid from 0.302 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C21.1209538
C30.00657908073
C40.152690608
C50.0235724778
C61.07502924
C7106.309977

Comments and conditions

anneal rate:4°C/h

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 5.85e-06 2.25e-08 -1.51e-10 3.09e-07 -8.98e-10 0.268
nd
1.517600
Vd
63.499991
glass code
518635
density
value: 2410
thermal expansion
value: 6e-06, temperature range: 243 343; value: 8e-06, temperature range: 293 573
dPgF
-0.0025
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 2.91e-06 K⁻¹ at 633 nm, dn/dT = 2.53e-06 K⁻¹ at 1310 nm, dn/dT = 2.50e-06 K⁻¹ at 1550 nm
Notes on the source data (kept exactly as published):
  • k data cover 310-2400 nm only; k = 0 elsewhere in the n range 302-2325 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-K59 (CDGM), D-K59: n and k versus wavelength
λ (µm)nk
0.3021.5534120
0.3035491.5528670
0.3051061.5523290
0.306671.5517990
0.3082431.5512760
0.3098241.550760
0.311.5507036.230700e-06
0.3114131.5502515.698514e-06
0.313011.5497485.096923e-06
0.3146151.5492524.492248e-06
0.3162291.5487633.884472e-06
0.317851.5482813.273578e-06
0.3194811.5478042.659552e-06
0.321.5476542.463900e-06
0.3211191.5473342.297221e-06
0.3227661.546872.051925e-06
0.3244211.5464121.805372e-06
0.3260851.545961.557554e-06
0.3277571.5455131.308465e-06
0.3294381.5450731.058099e-06
0.331.5449279.744300e-07
0.3311281.5446389.105563e-07
0.3328261.5442088.143774e-07
0.3345331.5437847.177052e-07
0.3362491.5433666.205372e-07
0.3379731.5429525.228710e-07
0.3397061.5425444.247038e-07
0.341.5424764.080700e-07
0.3414481.5421413.769390e-07
0.34321.5417433.393038e-07
0.344961.541353.014757e-07
0.3467291.5409622.634535e-07
0.3485071.5405792.252364e-07
0.351.5402621.931500e-07
0.3502941.54021.905559e-07
0.3520911.5398261.747253e-07
0.3538971.5394571.588134e-07
0.3557121.5390921.428199e-07
0.3575361.5387321.267444e-07
0.3593691.5383761.105865e-07
0.361.5382551.050300e-07
0.3612121.5380249.987216e-08
0.3630651.5376769.199169e-08
0.3649271.5373338.407081e-08
0.3667981.5369947.610931e-08
0.368681.5366596.810697e-08
0.371.5364276.249000e-08
0.370571.5363286.188306e-08
0.3724711.5360015.986076e-08
0.3743811.5356775.782809e-08
0.3763011.5353585.578500e-08
0.3782311.5350425.373143e-08
0.381.5347585.184900e-08
0.3801711.534735.160348e-08
0.382121.5344224.879960e-08
0.384081.5341184.598134e-08
0.386051.5338164.314862e-08
0.388031.5335194.030138e-08
0.391.5332283.746800e-08
0.390021.5332253.745716e-08
0.392021.5329343.636164e-08
0.394031.5326473.526050e-08
0.3960511.5323633.415371e-08
0.3980821.5320823.304125e-08
0.41.5318213.199100e-08
0.4001241.5318043.200092e-08
0.4021761.531533.216508e-08
0.4042391.5312593.233009e-08
0.4063121.5309913.249594e-08
0.4083961.5307253.266264e-08
0.410491.5304633.283020e-08
0.4125951.5302043.299862e-08
0.4147111.5299483.316790e-08
0.4168381.5296953.333804e-08
0.4189761.5294443.350907e-08
0.421.5293253.359100e-08
0.4211251.5291963.368091e-08
0.4232841.5289513.385358e-08
0.4254551.5287093.402714e-08
0.4276371.5284693.420158e-08
0.429831.5282333.437692e-08
0.4320351.5279983.455317e-08
0.434251.5277663.473031e-08
0.4364771.5275373.490836e-08
0.4387161.5273113.508733e-08
0.441.5271823.519000e-08
0.4409661.5270863.491050e-08
0.4432271.5268653.425602e-08
0.44551.5266453.359819e-08
0.4477851.5264283.293698e-08
0.4500821.5262133.227238e-08
0.452391.5260013.160437e-08
0.454711.5257913.093294e-08
0.4570421.5255833.025806e-08
0.4593861.5253782.957972e-08
0.461.5253242.940200e-08
0.4617421.5251742.951339e-08
0.464111.5249732.966483e-08
0.466491.5247742.981704e-08
0.4688831.5245772.997004e-08
0.4712871.5243823.012381e-08
0.4737041.5241893.027838e-08
0.4761341.5239983.043374e-08
0.4785751.5238093.058990e-08
0.481.52373.068100e-08
0.481031.5236223.054038e-08
0.4834971.5234373.020351e-08
0.4859761.5232542.986492e-08
0.4884691.5230732.952459e-08
0.4909741.5228932.918252e-08
0.4934921.5227162.883869e-08
0.4960231.522542.849310e-08
0.4985671.5223662.814573e-08
0.51.5222692.795000e-08
0.5011231.5221942.791382e-08
0.5036931.5220232.783107e-08
0.5062771.5218552.774789e-08
0.5088731.5216882.766428e-08
0.5114831.5215222.758025e-08
0.5141061.5213582.749578e-08
0.5167431.5211962.741089e-08
0.5193931.5210362.732555e-08
0.5220561.5208772.723978e-08
0.5247341.520722.715357e-08
0.5274251.5205642.706692e-08
0.530131.520412.697982e-08
0.5328491.5202572.689227e-08
0.5355811.5201052.680428e-08
0.5383281.5199562.671583e-08
0.5410891.5198072.662694e-08
0.5438641.519662.653758e-08
0.5466531.5195152.644777e-08
0.5494571.519372.635750e-08
0.551.5193432.634000e-08
0.5522751.5192282.666754e-08
0.5551071.5190862.707539e-08
0.5579541.5189462.748534e-08
0.5608151.5188072.789740e-08
0.5636911.518672.831156e-08
0.5665821.5185332.872785e-08
0.5694881.5183982.914628e-08
0.5724091.5182642.956685e-08
0.5753441.5181322.998957e-08
0.5782951.5180013.041447e-08
0.5812611.517873.084154e-08
0.5842421.5177413.127081e-08
0.5872381.5176133.170227e-08
0.590251.5174873.213595e-08
0.5932771.5173613.257186e-08
0.5963191.5172373.301000e-08
0.5993781.5171133.345038e-08
0.61.5170883.354000e-08
0.6024521.5169913.367704e-08
0.6055411.516873.384976e-08
0.6086471.516753.402335e-08
0.6117681.516633.419784e-08
0.6149061.5165123.437323e-08
0.6180591.5163953.454951e-08
0.6212291.5162793.472670e-08
0.6244151.5161643.490480e-08
0.6276171.5160493.508381e-08
0.6308361.5159363.526373e-08
0.6340711.5158243.544458e-08
0.6373231.5157123.562636e-08
0.6405921.5156023.580907e-08
0.6438771.5154923.599272e-08
0.6471791.5153833.617731e-08
0.651.5152923.633500e-08
0.6504981.5152763.630699e-08
0.6538341.5151683.611936e-08
0.6571871.5150623.593078e-08
0.6605581.5149573.574123e-08
0.6639451.5148523.555071e-08
0.6673511.5147493.535921e-08
0.6707731.5146463.516672e-08
0.6742131.5145433.497325e-08
0.6776711.5144423.477879e-08
0.6811461.5143413.458333e-08
0.684641.5142413.438687e-08
0.6881511.5141423.418940e-08
0.691681.5140433.399092e-08
0.6952271.5139463.379142e-08
0.6987931.5138493.359090e-08
0.71.5138163.352300e-08
0.7023761.5137523.348469e-08
0.7059791.5136563.342662e-08
0.7095991.5135613.336826e-08
0.7132381.5134673.330960e-08
0.7168961.5133733.325063e-08
0.7205731.513283.319136e-08
0.7242681.5131873.313179e-08
0.7279831.5130953.307192e-08
0.7317161.5130043.301173e-08
0.7354691.5129133.295124e-08
0.7392411.5128233.289044e-08
0.7430321.5127333.282932e-08
0.7468431.5126443.276790e-08
0.7506731.5125553.270615e-08
0.7545231.5124673.264410e-08
0.7583921.512383.258172e-08
0.7622821.5122933.251902e-08
0.7661911.5122063.245600e-08
0.770121.512123.239266e-08
0.774071.5120353.232899e-08
0.778041.511953.226500e-08
0.782031.5118653.220068e-08
0.7860411.5117813.213602e-08
0.7900721.5116973.207104e-08
0.7941241.5116143.200572e-08
0.7981961.5115313.194007e-08
0.81.5114943.191100e-08
0.802291.5114483.106968e-08
0.8064051.5113662.955808e-08
0.810541.5112852.803872e-08
0.8146971.5112032.651157e-08
0.8188751.5111222.497659e-08
0.8230751.5110422.343373e-08
0.8272961.5109622.188297e-08
0.8315391.5108822.032425e-08
0.8358031.5108021.875753e-08
0.840091.5107231.718278e-08
0.8443981.5106441.559996e-08
0.8487291.5105661.400902e-08
0.851.5105431.354200e-08
0.8530821.5104871.359106e-08
0.8574571.5104091.366071e-08
0.8618541.5103321.373072e-08
0.8662741.5102541.380108e-08
0.8707171.5101771.387181e-08
0.8751821.51011.394290e-08
0.8796711.5100241.401436e-08
0.8841821.5099471.408618e-08
0.8887171.5098711.415837e-08
0.8932741.5097951.423093e-08
0.8978561.509721.430386e-08
0.91.5096841.433800e-08
0.902461.5096441.437722e-08
0.9070881.5095691.445099e-08
0.9117411.5094941.452514e-08
0.9164161.5094191.459968e-08
0.9211161.5093441.467459e-08
0.925841.5092691.474989e-08
0.9305881.5091951.482558e-08
0.9353611.5091211.490165e-08
0.9401581.5090461.497812e-08
0.944981.5089721.505497e-08
0.9498261.5088981.513222e-08
0.951.5088961.513500e-08
0.9546971.5088251.520978e-08
0.9595931.5087511.528772e-08
0.9645151.5086771.536607e-08
0.9694611.5086041.544482e-08
0.9744331.5085311.552397e-08
0.979431.5084571.560353e-08
0.9844531.5083841.568350e-08
0.9895021.5083111.576387e-08
0.9945771.5082381.584466e-08
0.9996781.5081641.592587e-08
11.508161.593100e-08
1.00481.5080911.600755e-08
1.009961.5080181.608966e-08
1.015141.5079451.617219e-08
1.020341.5078721.625514e-08
1.025581.5077991.633851e-08
1.030841.5077261.642232e-08
1.036121.5076531.650655e-08
1.041441.507581.659122e-08
1.046781.5075071.667632e-08
1.052151.5074341.676185e-08
1.057541.507361.684783e-08
1.061.5073271.688700e-08
1.062971.5072871.693425e-08
1.068421.5072141.702113e-08
1.07391.507141.710844e-08
1.07941.5070671.719621e-08
1.084941.5069931.728443e-08
1.09051.506921.737309e-08
1.09611.5068461.746222e-08
1.101721.5067721.755180e-08
1.107371.5066981.764184e-08
1.113051.5066241.773234e-08
1.118761.5065491.782330e-08
1.124491.5064751.791474e-08
1.130261.50641.800664e-08
1.136061.5063261.809901e-08
1.141881.5062511.819185e-08
1.147741.5061761.828518e-08
1.153621.50611.837898e-08
1.159541.5060251.847326e-08
1.165491.5059491.856802e-08
1.171471.5058731.866328e-08
1.177471.5057971.875902e-08
1.183511.5057211.885525e-08
1.189581.5056441.895197e-08
1.195681.5055671.904919e-08
1.21.5055131.911800e-08
1.201811.505492.150314e-08
1.207981.5054132.960638e-08
1.214171.5053353.775118e-08
1.22041.5052574.593776e-08
1.226661.5051795.416632e-08
1.232951.50516.243707e-08
1.239271.5050217.075025e-08
1.245631.5049427.910606e-08
1.252021.5048638.750472e-08
1.258441.5047839.594645e-08
1.264891.5047031.044315e-07
1.271381.5046221.129600e-07
1.27791.5045411.215323e-07
1.284451.504461.301486e-07
1.291041.5043781.388090e-07
1.297661.5042961.475138e-07
1.304321.5042141.562633e-07
1.311011.5041311.650577e-07
1.317731.5040471.738972e-07
1.324491.5039641.827820e-07
1.331281.5038791.917123e-07
1.338111.5037952.006885e-07
1.344971.503712.097107e-07
1.351871.5036242.187792e-07
1.35881.5035382.278941e-07
1.365771.5034522.370559e-07
1.372771.5033652.462646e-07
1.379811.5032772.555205e-07
1.386891.5031892.648239e-07
1.3941.50312.741750e-07
1.41.5030262.820600e-07
1.401151.5030112.808033e-07
1.408341.5029222.729622e-07
1.415561.5028312.650809e-07
1.422821.5027412.571592e-07
1.430121.5026492.491968e-07
1.437451.5025572.411936e-07
1.444821.5024652.331493e-07
1.452231.5023712.250639e-07
1.459681.5022782.169369e-07
1.467171.5021832.087682e-07
1.474691.5020882.005577e-07
1.482251.5019921.923051e-07
1.489861.5018961.840101e-07
1.49751.5017991.756726e-07
1.505181.5017011.672923e-07
1.51291.5016021.588691e-07
1.520651.5015031.504026e-07
1.528451.5014031.418928e-07
1.536291.5013031.333393e-07
1.544171.5012011.247419e-07
1.552091.5010991.161004e-07
1.560051.5009961.074146e-07
1.568051.5008929.868430e-08
1.576091.5007888.990919e-08
1.584181.5006828.108909e-08
1.59231.5005767.222374e-08
1.61.5004756.382200e-08
1.600471.5004696.404271e-08
1.608671.5003616.792584e-08
1.616921.5002527.182888e-08
1.625221.5001437.575194e-08
1.633551.5000327.969513e-08
1.641931.4999218.365853e-08
1.650351.4998088.764226e-08
1.658811.4996959.164642e-08
1.667321.4995819.567112e-08
1.675871.4994669.971646e-08
1.684471.499351.037825e-07
1.693111.4992321.078695e-07
1.701791.4991141.119774e-07
1.710521.4989951.161063e-07
1.719291.4988751.202565e-07
1.728111.4987541.244279e-07
1.736971.4986311.286207e-07
1.745881.4985081.328350e-07
1.754831.4983841.370710e-07
1.763831.4982581.413286e-07
1.772881.4981311.456081e-07
1.781971.4980041.499096e-07
1.791111.4978751.542331e-07
1.81.4977491.584400e-07
1.800291.4977441.587985e-07
1.809531.4976131.700861e-07
1.818811.4974811.814316e-07
1.828131.4973471.928353e-07
1.837511.4972122.042974e-07
1.846931.4970762.158184e-07
1.856411.4969382.273984e-07
1.865931.4967992.390378e-07
1.87551.4966592.507369e-07
1.885111.4965182.624960e-07
1.894781.4963752.743154e-07
1.90451.4962312.861955e-07
1.914271.4960852.981364e-07
1.924081.4959383.101386e-07
1.933951.495793.222024e-07
1.943871.495643.343280e-07
1.953841.4954893.465158e-07
1.963861.4953363.587661e-07
1.973931.4951823.710792e-07
1.984051.4950263.834555e-07
1.994231.4948693.958953e-07
21.494784.029500e-07
2.004461.494714.483027e-07
2.014741.494555.529083e-07
2.025071.4943886.580503e-07
2.035461.4942247.637316e-07
2.045891.4940598.699548e-07
2.056391.4938929.767228e-07
2.066931.4937241.084038e-06
2.077531.4935531.191904e-06
2.088191.4933811.300324e-06
2.09891.4932071.409299e-06
2.109661.4930321.518833e-06
2.120481.4928551.628929e-06
2.131361.4926751.739589e-06
2.142291.4924941.850817e-06
2.153271.4923111.962615e-06
2.164321.4921272.074987e-06
2.175421.491942.187935e-06
2.186571.4917512.301462e-06
2.197791.491562.415572e-06
2.21.4915232.438100e-06
2.209061.4913682.509944e-06
2.220391.4911732.599807e-06
2.231771.4909762.690131e-06
2.243221.4907772.780918e-06
2.254721.4905762.872171e-06
2.266291.4903732.963892e-06
2.277911.4901683.056083e-06
2.289591.4899613.148747e-06
2.301331.4897513.241886e-06
2.313141.4895393.335503e-06
2.3251.4893253.429600e-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
—