Optical constants

Refractive index of H-K9Lstar (CDGM)

H-K9Lstar: 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
1.5168
Extinction coefficient k
1.40486e-08
Permittivity ε1
2.30068
Permittivity ε2
4.26179e-08
Absorption coefficient α
0.00300443 cm⁻¹
Penetration depth δ = λ/(2πk)
6.65683e+09 nm
Abbe number Vd
64.199
Chromatic dispersion dn/dλ
-0.0417504 µm⁻¹
Group index ng
1.54133
Group velocity dispersion
70.603 fs²/mm
Dispersion parameter D
-385.177 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

# H-K9Lstar (CDGM): H-K9Lstar
cdgm_h_k9lstar = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-K9Lstar", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_k9lstar.range_nm)  # (302, 2325) nm
eps = cdgm_h_k9lstar.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=0.614555251λ2λ2−0.0145987884+0.656775017λ2λ2−0.00287769588+1.02699346λ2λ2−107.653051

Valid from 0.302 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.614555251
C30.0145987884
C40.656775017
C50.00287769588
C61.02699346
C7107.653051

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -1.04e-06 1.48e-08 -5.17e-11 3.85e-07 4.55e-10 0.211
nd
1.516800
Vd
64.198732
glass code
517642
glass status
standard
density
value: 2520
thermal expansion
value: 7.6e-06, temperature range: 243 343; value: 9.5e-06, temperature range: 293 573
dPgF
-0.0005
resistance
climatic: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.75e-08 K⁻¹ at 633 nm, dn/dT = -3.40e-07 K⁻¹ at 1310 nm, dn/dT = -3.66e-07 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
H-K9Lstar (CDGM), H-K9Lstar: n and k versus wavelength
λ (µm)nk
0.3021.5520874.483540e-06
0.3035491.5515554.081422e-06
0.3051061.5510313.677242e-06
0.306671.5505133.270989e-06
0.3082431.5500012.862652e-06
0.3098241.5494972.452221e-06
0.311.5494412.406500e-06
0.3114131.5489992.228751e-06
0.313011.5485072.027822e-06
0.3146151.5480221.825862e-06
0.3162291.5475431.622867e-06
0.317851.547071.418830e-06
0.3194811.5466031.213747e-06
0.321.5464561.148400e-06
0.3211191.5461421.082903e-06
0.3227661.5456879.865138e-07
0.3244211.5452378.896301e-07
0.3260851.5447947.922496e-07
0.3277571.5443556.943697e-07
0.3294381.5439235.959878e-07
0.331.543785.631100e-07
0.3311281.5434955.324318e-07
0.3328261.5430734.862375e-07
0.3345331.5426574.398063e-07
0.3362491.5422453.931370e-07
0.3379731.5418393.462284e-07
0.3397061.5414372.990791e-07
0.341.541372.910900e-07
0.3414481.5410412.696190e-07
0.34321.5406492.436621e-07
0.344961.5402622.175721e-07
0.3467291.539881.913482e-07
0.3485071.5395031.649899e-07
0.351.5391911.428600e-07
0.3502941.539131.408762e-07
0.3520911.5387611.287696e-07
0.3538971.5383971.166010e-07
0.3557121.5380381.043699e-07
0.3575361.5376839.207618e-08
0.3593691.5373327.971936e-08
0.361.5372127.547000e-08
0.3612121.5369857.171498e-08
0.3630651.5366426.597784e-08
0.3649271.5363036.021128e-08
0.3667981.5359695.441514e-08
0.368681.5356384.858927e-08
0.371.535414.450000e-08
0.370571.5353124.421875e-08
0.3724711.5349894.328162e-08
0.3743811.534674.233969e-08
0.3763011.5343544.139293e-08
0.3782311.5340434.044131e-08
0.381.5337623.956900e-08
0.3801711.5337353.926565e-08
0.382121.533433.580140e-08
0.384081.5331293.231939e-08
0.386051.5328322.881952e-08
0.388031.5325382.530170e-08
0.391.532252.180100e-08
0.390021.5322482.178310e-08
0.392021.531961.997430e-08
0.394031.5316761.815623e-08
0.3960511.5313961.632882e-08
0.3980821.5311181.449205e-08
0.41.5308611.275800e-08
0.4001241.5308441.274116e-08
0.4021761.5305731.246249e-08
0.4042391.5303051.218240e-08
0.4063121.530041.190086e-08
0.4083961.5297781.161789e-08
0.410491.5295181.133346e-08
0.4125951.5292621.104757e-08
0.4147111.5290091.076022e-08
0.4168381.5287581.047139e-08
0.4189761.5285111.018108e-08
0.421.5283931.004200e-08
0.4211251.5282661.006888e-08
0.4232841.5280231.012049e-08
0.4254551.5277841.017238e-08
0.4276371.5275471.022453e-08
0.429831.5273121.027694e-08
0.4320351.5270811.032963e-08
0.434251.5268511.038258e-08
0.4364771.5266251.043581e-08
0.4387161.5264011.048931e-08
0.441.5262741.052000e-08
0.4409661.5261791.054308e-08
0.4432271.5259591.059713e-08
0.44551.5257421.065146e-08
0.4477851.5255281.070606e-08
0.4500821.5253151.076095e-08
0.452391.5251051.081612e-08
0.454711.5248981.087157e-08
0.4570421.5246921.092730e-08
0.4593861.5244891.098332e-08
0.461.5244361.099800e-08
0.4617421.5242871.103963e-08
0.464111.5240881.109623e-08
0.466491.5238911.115311e-08
0.4688831.5236961.121029e-08
0.4712871.5235031.126776e-08
0.4737041.5233131.132553e-08
0.4761341.5231241.138359e-08
0.4785751.5229371.144195e-08
0.481.5228291.147600e-08
0.481031.5227521.150066e-08
0.4834971.5225691.155975e-08
0.4859761.5223881.161913e-08
0.4884691.5222091.167883e-08
0.4909741.5220311.173882e-08
0.4934921.5218561.179913e-08
0.4960231.5216821.185974e-08
0.4985671.521511.192067e-08
0.51.5214141.195500e-08
0.5011231.5213391.198185e-08
0.5036931.5211711.204327e-08
0.5062771.5210041.210501e-08
0.5088731.5208391.216707e-08
0.5114831.5206751.222944e-08
0.5141061.5205141.229213e-08
0.5167431.5203531.235515e-08
0.5193931.5201951.241849e-08
0.5220561.5200381.248215e-08
0.5247341.5198821.254614e-08
0.5274251.5197281.261046e-08
0.530131.5195761.267510e-08
0.5328491.5194241.274008e-08
0.5355811.5192751.280540e-08
0.5383281.5191271.287104e-08
0.5410891.518981.293703e-08
0.5438641.5188351.300335e-08
0.5466531.5186911.307001e-08
0.5494571.5185491.313701e-08
0.551.5185211.315000e-08
0.5522751.5184081.320436e-08
0.5551071.5182681.327206e-08
0.5579541.5181291.334010e-08
0.5608151.5179921.340848e-08
0.5636911.5178561.347722e-08
0.5665821.5177221.354632e-08
0.5694881.5175881.361576e-08
0.5724091.5174561.368557e-08
0.5753441.5173251.375573e-08
0.5782951.5171961.382625e-08
0.5812611.5170671.389713e-08
0.5842421.516941.396838e-08
0.5872381.5168141.403999e-08
0.590251.5166881.411197e-08
0.5932771.5165651.418432e-08
0.5963191.5164421.425703e-08
0.5993781.516321.433013e-08
0.61.5162951.434500e-08
0.6024521.5161991.440364e-08
0.6055411.516081.447755e-08
0.6086471.5159611.455183e-08
0.6117681.5158441.462650e-08
0.6149061.5157271.470154e-08
0.6180591.5156111.477698e-08
0.6212291.5154971.485280e-08
0.6244151.5153831.492901e-08
0.6276171.5152711.500561e-08
0.6308361.5151591.508260e-08
0.6340711.5150481.515998e-08
0.6373231.5149381.523777e-08
0.6405921.514831.531595e-08
0.6438771.5147221.539454e-08
0.6471791.5146141.547352e-08
0.651.5145241.554100e-08
0.6504981.5145081.555291e-08
0.6538341.5144031.563264e-08
0.6571871.5142981.571278e-08
0.6605581.5141941.579333e-08
0.6639451.5140911.587430e-08
0.6673511.5139891.595568e-08
0.6707731.5138881.603748e-08
0.6742131.5137871.611969e-08
0.6776711.5136871.620233e-08
0.6811461.5135881.628540e-08
0.684641.513491.636889e-08
0.6881511.5133921.645280e-08
0.691681.5132961.653715e-08
0.6952271.5131991.662193e-08
0.6987931.5131041.670715e-08
0.71.5130721.673600e-08
0.7023761.5130091.679282e-08
0.7059791.5129151.687895e-08
0.7095991.5128211.696552e-08
0.7132381.5127291.705253e-08
0.7168961.5126371.713999e-08
0.7205731.5125451.722790e-08
0.7242681.5124541.731626e-08
0.7279831.5123641.740507e-08
0.7317161.5122741.749434e-08
0.7354691.5121851.758406e-08
0.7392411.5120961.767425e-08
0.7430321.5120081.776489e-08
0.7468431.5119211.785601e-08
0.7506731.5118341.794759e-08
0.7545231.5117481.803964e-08
0.7583921.5116621.813216e-08
0.7622821.5115761.822515e-08
0.7661911.5114921.831863e-08
0.770121.5114071.841258e-08
0.774071.5113241.850701e-08
0.778041.511241.860193e-08
0.782031.5111571.869734e-08
0.7860411.5110751.879323e-08
0.7900721.5109931.888962e-08
0.7941241.5109111.898650e-08
0.7981961.510831.908388e-08
0.81.5107951.912700e-08
0.802291.510751.918178e-08
0.8064051.5106691.928020e-08
0.810541.5105891.937912e-08
0.8146971.510511.947856e-08
0.8188751.5104311.957850e-08
0.8230751.5103521.967895e-08
0.8272961.5102741.977992e-08
0.8315391.5101961.988141e-08
0.8358031.5101181.998342e-08
0.840091.5100412.008595e-08
0.8443981.5099642.018901e-08
0.8487291.5098872.029259e-08
0.851.5098652.032300e-08
0.8530821.5098112.083958e-08
0.8574571.5097352.157302e-08
0.8618541.5096592.231021e-08
0.8662741.5095832.305118e-08
0.8707171.5095082.379596e-08
0.8751821.5094332.454455e-08
0.8796711.5093592.529698e-08
0.8841821.5092842.605328e-08
0.8887171.509212.681345e-08
0.8932741.5091362.757752e-08
0.8978561.5090622.834550e-08
0.91.5090282.870500e-08
0.902461.5089892.878348e-08
0.9070881.5089162.893112e-08
0.9117411.5088422.907952e-08
0.9164161.508772.922868e-08
0.9211161.5086972.937861e-08
0.925841.5086242.952930e-08
0.9305881.5085522.968077e-08
0.9353611.508482.983301e-08
0.9401581.5084082.998604e-08
0.944981.5083363.013985e-08
0.9498261.5082643.029445e-08
0.951.5082623.030000e-08
0.9546971.5081933.044984e-08
0.9595931.5081213.060603e-08
0.9645151.508053.076301e-08
0.9694611.5079783.092081e-08
0.9744331.5079073.107941e-08
0.979431.5078363.123883e-08
0.9844531.5077653.139906e-08
0.9895021.5076943.156012e-08
0.9945771.5076233.172200e-08
0.9996781.5075533.188471e-08
11.5075483.189500e-08
1.00481.5074823.204826e-08
1.009961.5074113.221265e-08
1.015141.507343.237788e-08
1.020341.507273.254395e-08
1.025581.5071993.271088e-08
1.030841.5071283.287866e-08
1.036121.5070583.304731e-08
1.041441.5069873.321682e-08
1.046781.5069173.338720e-08
1.052151.5068463.355845e-08
1.057541.5067753.373058e-08
1.061.5067433.380900e-08
1.062971.5067043.390357e-08
1.068421.5066343.407743e-08
1.07391.5065633.425219e-08
1.07941.5064923.442784e-08
1.084941.5064213.460439e-08
1.09051.506353.478184e-08
1.09611.5062793.496021e-08
1.101721.5062083.513949e-08
1.107371.5061363.531969e-08
1.113051.5060653.550081e-08
1.118761.5059933.568287e-08
1.124491.5059223.586585e-08
1.130261.505853.604978e-08
1.136061.5057783.623465e-08
1.141881.5057063.642046e-08
1.147741.5056343.660723e-08
1.153621.5055613.679496e-08
1.159541.5054893.698365e-08
1.165491.5054163.717331e-08
1.171471.5053433.736394e-08
1.177471.505273.755555e-08
1.183511.5051963.774814e-08
1.189581.5051233.794172e-08
1.195681.5050493.813629e-08
1.21.5049973.827400e-08
1.201811.5049753.986537e-08
1.207981.5049014.527189e-08
1.214171.5048265.070614e-08
1.22041.5047525.616825e-08
1.226661.5046776.165838e-08
1.232951.5046016.717667e-08
1.239271.5045267.272325e-08
1.245631.504457.829828e-08
1.252021.5043748.390191e-08
1.258441.5042978.953427e-08
1.264891.504229.519551e-08
1.271381.5041431.008858e-07
1.27791.5040661.066053e-07
1.284451.5039881.123541e-07
1.291041.503911.181323e-07
1.297661.5038321.239402e-07
1.304321.5037531.297779e-07
1.311011.5036731.356456e-07
1.317731.5035941.415433e-07
1.324491.5035141.474713e-07
1.331281.5034331.534297e-07
1.338111.5033531.594186e-07
1.344971.5032711.654382e-07
1.351871.503191.714888e-07
1.35881.5031081.775703e-07
1.365771.5030251.836831e-07
1.372771.5029421.898271e-07
1.379811.5028581.960027e-07
1.386891.5027742.022100e-07
1.3941.502692.084491e-07
1.41.5026192.137100e-07
1.401151.5026052.132162e-07
1.408341.502522.101353e-07
1.415561.5024342.070386e-07
1.422821.5023472.039260e-07
1.430121.502262.007974e-07
1.437451.5021721.976528e-07
1.444821.5020841.944920e-07
1.452231.5019951.913151e-07
1.459681.5019061.881218e-07
1.467171.5018161.849122e-07
1.474691.5017261.816861e-07
1.482251.5016341.784435e-07
1.489861.5015431.751843e-07
1.49751.501451.719083e-07
1.505181.5013571.686155e-07
1.51291.5012641.653059e-07
1.520651.5011691.619792e-07
1.528451.5010741.586355e-07
1.536291.5009781.552747e-07
1.544171.5008821.518966e-07
1.552091.5007851.485012e-07
1.560051.5006871.450884e-07
1.568051.5005881.416581e-07
1.576091.5004891.382102e-07
1.584181.5003891.347446e-07
1.59231.5002881.312612e-07
1.61.5001921.279600e-07
1.600471.5001871.286448e-07
1.608671.5000841.406934e-07
1.616921.4999811.528037e-07
1.625221.4998771.649761e-07
1.633551.4997721.772110e-07
1.641931.4996661.895086e-07
1.650351.499562.018693e-07
1.658811.4994522.142934e-07
1.667321.4993442.267812e-07
1.675871.4992352.393330e-07
1.684471.4991242.519493e-07
1.693111.4990132.646302e-07
1.701791.4989012.773761e-07
1.710521.4987882.901874e-07
1.719291.4986743.030645e-07
1.728111.4985593.160075e-07
1.736971.4984443.290170e-07
1.745881.4983273.420931e-07
1.754831.4982093.552364e-07
1.763831.498093.684470e-07
1.772881.497973.817254e-07
1.781971.4978493.950718e-07
1.791111.4977274.084868e-07
1.81.4976074.215400e-07
1.800291.4976034.224406e-07
1.809531.4974794.507927e-07
1.818811.4973534.792903e-07
1.828131.4972275.079340e-07
1.837511.4970995.367247e-07
1.846931.496975.656630e-07
1.856411.496845.947497e-07
1.865931.4967096.239855e-07
1.87551.4965766.533713e-07
1.885111.4964426.829079e-07
1.894781.4963077.125958e-07
1.90451.4961717.424361e-07
1.914271.4960337.724294e-07
1.924081.4958948.025765e-07
1.933951.4957548.328782e-07
1.943871.4956128.633353e-07
1.953841.4954698.939486e-07
1.963861.4953259.247189e-07
1.973931.4951799.556470e-07
1.984051.4950329.867338e-07
1.994231.4948831.017980e-06
21.4947981.035700e-06
2.004461.4947331.076483e-06
2.014741.4945811.170549e-06
2.025071.4944281.265098e-06
2.035461.4942741.360131e-06
2.045891.4941171.455652e-06
2.056391.493961.551663e-06
2.066931.49381.648166e-06
2.077531.493641.745164e-06
2.088191.4934771.842659e-06
2.09891.4933131.940655e-06
2.109661.4931472.039153e-06
2.120481.4929792.138156e-06
2.131361.492812.237667e-06
2.142291.4926392.337688e-06
2.153271.4924662.438222e-06
2.164321.4922922.539272e-06
2.175421.4921162.640840e-06
2.186571.4919372.742929e-06
2.197791.4917572.845542e-06
2.21.4917222.865800e-06
2.209061.4915762.932268e-06
2.220391.4913923.015408e-06
2.231771.4912063.098973e-06
2.243221.4910183.182967e-06
2.254721.4908293.267392e-06
2.266291.4906373.352250e-06
2.277911.4904433.437543e-06
2.289591.4902473.523274e-06
2.301331.4900493.609444e-06
2.313141.4898493.696056e-06
2.3251.4896473.783113e-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
—