Optical constants

Refractive index of H-K3 (CDGM)

H-K3: 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
1.50463
Extinction coefficient k
1.87414e-08
Permittivity ε1
2.26391
Permittivity ε2
5.63978e-08
Absorption coefficient α
0.00400803 cm⁻¹
Penetration depth δ = λ/(2πk)
4.98998e+09 nm
Abbe number Vd
64.721
Chromatic dispersion dn/dλ
-0.0405063 µm⁻¹
Group index ng
1.52843
Group velocity dispersion
67.3641 fs²/mm
Dispersion parameter D
-367.507 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-K3 (CDGM): H-K3
cdgm_h_k3 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-K3", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_k3.range_nm)  # (302, 2325) nm
eps = cdgm_h_k3.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=0.296004558λ2λ2−0.0185989847+0.940420083λ2λ2−0.00513632873+1.0056654λ2λ2−97.555431

Valid from 0.302 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.296004558
C30.0185989847
C40.940420083
C50.00513632873
C61.0056654
C797.555431

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 2.53e-06 1.95e-08 -5.32e-11 4.02e-07 6.25e-10 0.12
nd
1.504630
Vd
64.720718
glass code
505647
density
value: 2400
thermal expansion
value: 5.8e-06, temperature range: 243 343; value: 7e-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 = 1.50e-06 K⁻¹ at 633 nm, dn/dT = 1.14e-06 K⁻¹ at 1310 nm, dn/dT = 1.10e-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
H-K3 (CDGM), H-K3: n and k versus wavelength
λ (µm)nk
0.3021.5386467.979280e-06
0.3035491.5381327.102327e-06
0.3051061.5376256.220877e-06
0.306671.5371245.334907e-06
0.3082431.5366314.444392e-06
0.3098241.5361433.549311e-06
0.311.5360893.449600e-06
0.3114131.5356623.139469e-06
0.313011.5351872.788893e-06
0.3146151.5347192.436518e-06
0.3162291.5342572.082337e-06
0.317851.53381.726339e-06
0.3194811.533351.368516e-06
0.321.5332081.254500e-06
0.3211191.5329051.167459e-06
0.3227661.5324661.039364e-06
0.3244211.5320329.106127e-07
0.3260851.5316047.812008e-07
0.3277571.5311826.511251e-07
0.3294381.5307655.203824e-07
0.331.5306274.766900e-07
0.3311281.5303534.450734e-07
0.3328261.5299463.974663e-07
0.3345331.5295453.496149e-07
0.3362491.5291483.015182e-07
0.3379731.5287562.531748e-07
0.3397061.5283692.045835e-07
0.341.5283051.963500e-07
0.3414481.5279881.814469e-07
0.34321.527611.634301e-07
0.344961.5272381.453209e-07
0.3467291.526871.271189e-07
0.3485071.5265061.088235e-07
0.351.5262069.346300e-08
0.3502941.5261479.215763e-08
0.3520911.5257928.419146e-08
0.3538971.5254427.618442e-08
0.3557121.5250966.813633e-08
0.3575361.5247546.004696e-08
0.3593691.5244165.191610e-08
0.361.5243014.912000e-08
0.3612121.5240824.711300e-08
0.3630651.5237524.404658e-08
0.3649271.5234264.096444e-08
0.3667981.5231043.786649e-08
0.368681.5227863.475266e-08
0.371.5225663.256700e-08
0.370571.5224723.261725e-08
0.3724711.5221613.278468e-08
0.3743811.5218543.295297e-08
0.3763011.5215513.312213e-08
0.3782311.5212513.329215e-08
0.381.520983.344800e-08
0.3801711.5209543.319582e-08
0.382121.5206623.031590e-08
0.384081.5203722.742121e-08
0.386051.5200862.451168e-08
0.388031.5198032.158722e-08
0.391.5195261.867700e-08
0.390021.5195241.867161e-08
0.392021.5192471.812715e-08
0.394031.5189741.757990e-08
0.3960511.5187041.702984e-08
0.3980821.5184371.647696e-08
0.41.5181891.595500e-08
0.4001241.5181731.595995e-08
0.4021761.5179121.604182e-08
0.4042391.5176541.612412e-08
0.4063121.5173991.620684e-08
0.4083961.5171471.628998e-08
0.410491.5168981.637355e-08
0.4125951.5166511.645755e-08
0.4147111.5164071.654198e-08
0.4168381.5161661.662684e-08
0.4189761.5159281.671214e-08
0.421.5158151.675300e-08
0.4211251.5156921.679787e-08
0.4232841.5154591.688404e-08
0.4254551.5152281.697066e-08
0.4276371.5151.705772e-08
0.429831.5147751.714523e-08
0.4320351.5145521.723318e-08
0.434251.5143311.732159e-08
0.4364771.5141131.741045e-08
0.4387161.5138971.749976e-08
0.441.5137751.755100e-08
0.4409661.5136841.758954e-08
0.4432271.5134721.767977e-08
0.44551.5132631.777047e-08
0.4477851.5130571.786163e-08
0.4500821.5128521.795326e-08
0.452391.512651.804536e-08
0.454711.512451.813793e-08
0.4570421.5122521.823097e-08
0.4593861.5120561.832450e-08
0.461.5120051.834900e-08
0.4617421.5118621.841841e-08
0.464111.511671.851278e-08
0.466491.511481.860763e-08
0.4688831.5112931.870297e-08
0.4712871.5111071.879879e-08
0.4737041.5109231.889511e-08
0.4761341.5107411.899192e-08
0.4785751.5105611.908923e-08
0.481.5104571.914600e-08
0.481031.5103821.898128e-08
0.4834971.5102061.858669e-08
0.4859761.5100311.819007e-08
0.4884691.5098591.779142e-08
0.4909741.5096871.739073e-08
0.4934921.5095181.698798e-08
0.4960231.509351.658317e-08
0.4985671.5091841.617628e-08
0.51.5090921.594700e-08
0.5011231.509021.598284e-08
0.5036931.5088581.606482e-08
0.5062771.5086971.614723e-08
0.5088731.5085371.623005e-08
0.5114831.5083791.631330e-08
0.5141061.5082231.639698e-08
0.5167431.5080681.648109e-08
0.5193931.5079151.656563e-08
0.5220561.5077631.665060e-08
0.5247341.5076131.673601e-08
0.5274251.5074641.682186e-08
0.530131.5073171.690814e-08
0.5328491.5071711.699487e-08
0.5355811.5070261.708205e-08
0.5383281.5068831.716967e-08
0.5410891.5067411.725774e-08
0.5438641.5066011.734626e-08
0.5466531.5064621.743524e-08
0.5494571.5063241.752467e-08
0.551.5062981.754200e-08
0.5522751.5061871.761456e-08
0.5551071.5060521.770491e-08
0.5579541.5059181.779573e-08
0.5608151.5057851.788701e-08
0.5636911.5056541.797876e-08
0.5665821.5055231.807098e-08
0.5694881.5053941.816367e-08
0.5724091.5052661.825684e-08
0.5753441.5051391.835048e-08
0.5782951.5050141.844461e-08
0.5812611.5048891.853922e-08
0.5842421.5047651.863431e-08
0.5872381.5046431.872989e-08
0.590251.5045221.882596e-08
0.5932771.5044011.892253e-08
0.5963191.5042821.901959e-08
0.5993781.5041641.911715e-08
0.61.504141.913700e-08
0.6024521.5040471.921520e-08
0.6055411.5039311.931377e-08
0.6086471.5038151.941283e-08
0.6117681.5037011.951241e-08
0.6149061.5035881.961249e-08
0.6180591.5034751.971309e-08
0.6212291.5033641.981420e-08
0.6244151.5032531.991584e-08
0.6276171.5031442.001799e-08
0.6308361.5030352.012067e-08
0.6340711.5029272.022387e-08
0.6373231.502822.032761e-08
0.6405921.5027142.043187e-08
0.6438771.5026092.053667e-08
0.6471791.5025042.064201e-08
0.651.5024162.073200e-08
0.6504981.5024012.074788e-08
0.6538341.5022982.085423e-08
0.6571871.5021962.096113e-08
0.6605581.5020942.106858e-08
0.6639451.5019942.117658e-08
0.6673511.5018942.128514e-08
0.6707731.5017952.139425e-08
0.6742131.5016972.150391e-08
0.6776711.5015992.161415e-08
0.6811461.5015022.172494e-08
0.684641.5014062.183631e-08
0.6881511.501312.194825e-08
0.691681.5012152.206076e-08
0.6952271.5011212.217384e-08
0.6987931.5010272.228751e-08
0.71.5009962.232600e-08
0.7023761.5009342.240181e-08
0.7059791.5008422.251672e-08
0.7095991.500752.263222e-08
0.7132381.5006592.274831e-08
0.7168961.5005692.286499e-08
0.7205731.5004792.298228e-08
0.7242681.5003892.310016e-08
0.7279831.50032.321865e-08
0.7317161.5002122.333775e-08
0.7354691.5001242.345746e-08
0.7392411.5000372.357778e-08
0.7430321.499952.369872e-08
0.7468431.4998642.382028e-08
0.7506731.4997792.394246e-08
0.7545231.4996932.406527e-08
0.7583921.4996092.418871e-08
0.7622821.4995242.431278e-08
0.7661911.4994412.443749e-08
0.770121.4993572.456284e-08
0.774071.4992742.468883e-08
0.778041.4991922.481547e-08
0.782031.499112.494276e-08
0.7860411.4990282.507070e-08
0.7900721.4989472.519929e-08
0.7941241.4988662.532855e-08
0.7981961.4987852.545847e-08
0.81.498752.551600e-08
0.802291.4987052.496758e-08
0.8064051.4986262.398223e-08
0.810541.4985462.299182e-08
0.8146971.4984672.199633e-08
0.8188751.4983882.099574e-08
0.8230751.498311.999002e-08
0.8272961.4982321.897914e-08
0.8315391.4981541.796307e-08
0.8358031.4980771.694179e-08
0.840091.4981.591528e-08
0.8443981.4979231.488350e-08
0.8487291.4978461.384643e-08
0.851.4978241.354200e-08
0.8530821.497771.359106e-08
0.8574571.4976941.366071e-08
0.8618541.4976181.373072e-08
0.8662741.4975421.380108e-08
0.8707171.4974671.387181e-08
0.8751821.4973921.394290e-08
0.8796711.4973171.401436e-08
0.8841821.4972421.408618e-08
0.8887171.4971681.415837e-08
0.8932741.4970931.423093e-08
0.8978561.4970191.430386e-08
0.91.4969851.433800e-08
0.902461.4969451.437722e-08
0.9070881.4968711.445099e-08
0.9117411.4967981.452514e-08
0.9164161.4967241.459968e-08
0.9211161.4966511.467459e-08
0.925841.4965771.474989e-08
0.9305881.4965041.482558e-08
0.9353611.4964311.490165e-08
0.9401581.4963581.497812e-08
0.944981.4962861.505497e-08
0.9498261.4962131.513222e-08
0.951.496211.513500e-08
0.9546971.496141.520978e-08
0.9595931.4960681.528772e-08
0.9645151.4959951.536607e-08
0.9694611.4959231.544482e-08
0.9744331.4958511.552397e-08
0.979431.4957781.560353e-08
0.9844531.4957061.568350e-08
0.9895021.4956341.576387e-08
0.9945771.4955611.584466e-08
0.9996781.4954891.592587e-08
11.4954851.593100e-08
1.00481.4954171.600755e-08
1.009961.4953451.608966e-08
1.015141.4952721.617219e-08
1.020341.49521.625514e-08
1.025581.4951281.633851e-08
1.030841.4950551.642232e-08
1.036121.4949831.650655e-08
1.041441.4949111.659122e-08
1.046781.4948381.667632e-08
1.052151.4947651.676185e-08
1.057541.4946931.684783e-08
1.061.494661.688700e-08
1.062971.494621.693425e-08
1.068421.4945471.702113e-08
1.07391.4944741.710844e-08
1.07941.4944011.719621e-08
1.084941.4943281.728443e-08
1.09051.4942551.737309e-08
1.09611.4941811.746222e-08
1.101721.4941081.755180e-08
1.107371.4940341.764184e-08
1.113051.493961.773234e-08
1.118761.4938861.782330e-08
1.124491.4938111.791474e-08
1.130261.4937371.800664e-08
1.136061.4936621.809901e-08
1.141881.4935881.819185e-08
1.147741.4935121.828518e-08
1.153621.4934371.837898e-08
1.159541.4933621.847326e-08
1.165491.4932861.856802e-08
1.171471.493211.866328e-08
1.177471.4931341.875902e-08
1.183511.4930571.885525e-08
1.189581.492981.895197e-08
1.195681.4929031.904919e-08
1.21.4928491.911800e-08
1.201811.4928262.223135e-08
1.207981.4927483.280864e-08
1.214171.492674.344017e-08
1.22041.4925925.412622e-08
1.226661.4925136.486707e-08
1.232951.4924347.566301e-08
1.239271.4923558.651432e-08
1.245631.4922759.742128e-08
1.252021.4921951.083842e-07
1.258441.4921151.194033e-07
1.264891.4920341.304789e-07
1.271381.4919531.416114e-07
1.27791.4918721.528009e-07
1.284451.491791.640478e-07
1.291041.4917071.753524e-07
1.297661.4916251.867149e-07
1.304321.4915411.981358e-07
1.311011.4914582.096152e-07
1.317731.4913742.211535e-07
1.324491.4912892.327509e-07
1.331281.4912042.444079e-07
1.338111.4911182.561246e-07
1.344971.4910322.679014e-07
1.351871.4909462.797386e-07
1.35881.4908592.916365e-07
1.365771.4907713.035955e-07
1.372771.4906833.156157e-07
1.379811.4905943.276976e-07
1.386891.4905053.398415e-07
1.3941.4904153.520476e-07
1.41.490343.623400e-07
1.401151.4903253.606947e-07
1.408341.4902343.504292e-07
1.415561.4901433.401110e-07
1.422821.490053.297399e-07
1.430121.4899583.193157e-07
1.437451.4898643.088379e-07
1.444821.489772.983064e-07
1.452231.4896762.877210e-07
1.459681.489582.770812e-07
1.467171.4894842.663868e-07
1.474691.4893872.556376e-07
1.482251.489292.448333e-07
1.489861.4891922.339736e-07
1.49751.4890932.230582e-07
1.505181.4889932.120868e-07
1.51291.4888932.010591e-07
1.520651.4887921.899749e-07
1.528451.488691.788338e-07
1.536291.4885881.676356e-07
1.544171.4884841.563800e-07
1.552091.488381.450666e-07
1.560051.4882751.336952e-07
1.568051.4881691.222655e-07
1.576091.4880621.107772e-07
1.584181.4879559.922997e-08
1.59231.4878468.762352e-08
1.61.4877437.662400e-08
1.600471.4877377.705216e-08
1.608671.4876278.458532e-08
1.616921.4875169.215710e-08
1.625221.4874049.976772e-08
1.633551.4872911.074174e-07
1.641931.4871771.151063e-07
1.650351.4870621.228346e-07
1.658811.4869461.306025e-07
1.667321.4868291.384103e-07
1.675871.4867111.462581e-07
1.684471.4865921.541462e-07
1.693111.4864721.620748e-07
1.701791.4863511.700439e-07
1.710521.4862291.780540e-07
1.719291.4861061.861052e-07
1.728111.4859821.941976e-07
1.736971.4858572.023315e-07
1.745881.485732.105072e-07
1.754831.4856032.187248e-07
1.763831.4854742.269845e-07
1.772881.4853442.352866e-07
1.781971.4852132.436312e-07
1.791111.485082.520187e-07
1.81.4849512.601800e-07
1.800291.4849472.608242e-07
1.809531.4848122.811060e-07
1.818811.4846763.014917e-07
1.828131.4845383.219821e-07
1.837511.48443.425775e-07
1.846931.484263.632785e-07
1.856411.4841183.840857e-07
1.865931.4839764.049996e-07
1.87551.4838324.260208e-07
1.885111.4836864.471498e-07
1.894781.4835394.683871e-07
1.90451.4833914.897334e-07
1.914271.4832415.111891e-07
1.924081.483095.327548e-07
1.933951.4829385.544312e-07
1.943871.4827835.762187e-07
1.953841.4826285.981180e-07
1.963861.4824716.201296e-07
1.973931.4823126.422540e-07
1.984051.4821516.644920e-07
1.994231.4819896.868439e-07
21.4818976.995200e-07
2.004461.4818267.589840e-07
2.014741.481668.961373e-07
2.025071.4814931.033994e-06
2.035461.4813251.172558e-06
2.045891.4811541.311832e-06
2.056391.4809821.451820e-06
2.066931.4808081.592527e-06
2.077531.4806331.733955e-06
2.088191.4804551.876108e-06
2.09891.4802762.018991e-06
2.109661.4800952.162606e-06
2.120481.4799112.306958e-06
2.131361.4797262.452050e-06
2.142291.4795392.597886e-06
2.153271.479352.744470e-06
2.164321.479162.891806e-06
2.175421.4789673.039897e-06
2.186571.4787723.188748e-06
2.197791.4785743.338362e-06
2.21.4785353.367900e-06
2.209061.4783753.517720e-06
2.220391.4781743.705116e-06
2.231771.4779713.893473e-06
2.243221.4777654.082796e-06
2.254721.4775574.273090e-06
2.266291.4773474.464360e-06
2.277911.4771344.656611e-06
2.289591.476924.849848e-06
2.301331.4767035.044076e-06
2.313141.4764835.239300e-06
2.3251.4762615.435525e-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
—