Optical constants

Refractive index of H-K1 (CDGM)

H-K1: 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
1.49967
Extinction coefficient k
1.76522e-08
Permittivity ε1
2.24901
Permittivity ε2
5.29450e-08
Absorption coefficient α
0.00377509 cm⁻¹
Penetration depth δ = λ/(2πk)
5.29788e+09 nm
Abbe number Vd
62.072
Chromatic dispersion dn/dλ
-0.0416464 µm⁻¹
Group index ng
1.52414
Group velocity dispersion
71.9051 fs²/mm
Dispersion parameter D
-392.28 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-K1 (CDGM): H-K1
cdgm_h_k1 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-K1", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_k1.range_nm)  # (302, 2325) nm
eps = cdgm_h_k1.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=0.841282669λ2λ2−103.641667+1.01521166λ2λ2−0.00623224915+0.204021337λ2λ2−0.022057042

Valid from 0.302 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.841282669
C3103.641667
C41.01521166
C50.00623224915
C60.204021337
C70.022057042

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -4.14e-06 1.96e-08 -3.87e-11 5.49e-07 -2.63e-10 0.161
nd
1.499670
Vd
62.071979
glass code
500621
density
value: 2470
thermal expansion
value: 8.7e-06, temperature range: 243 343; value: 1.04e-05, temperature range: 293 573
dPgF
0.0006
resistance
climatic: 3.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -1.11e-06 K⁻¹ at 633 nm, dn/dT = -1.55e-06 K⁻¹ at 1310 nm, dn/dT = -1.58e-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-K1 (CDGM), H-K1: n and k versus wavelength
λ (µm)nk
0.3021.5355892.847000e-06
0.3035491.5350382.532669e-06
0.3051061.5344952.216725e-06
0.306671.5339591.899162e-06
0.3082431.533431.579969e-06
0.3098241.5329091.259140e-06
0.311.5328511.223400e-06
0.3114131.5323941.116725e-06
0.313011.5318879.961390e-07
0.3146151.5313868.749343e-07
0.3162291.5308927.531079e-07
0.317851.5304056.306567e-07
0.3194811.5299245.075776e-07
0.321.5297734.683600e-07
0.3211191.5294494.366427e-07
0.3227661.5289813.899657e-07
0.3244211.5285193.430492e-07
0.3260851.5280632.958922e-07
0.3277571.5276122.484933e-07
0.3294381.5271682.008513e-07
0.331.5270211.849300e-07
0.3311281.5267291.730537e-07
0.3328261.5262961.551707e-07
0.3345331.5258691.371959e-07
0.3362491.5254471.191290e-07
0.3379731.525031.009695e-07
0.3397061.5246198.271680e-08
0.341.524557.962400e-08
0.3414481.5242137.336955e-08
0.34321.5238126.580838e-08
0.344961.5234165.820842e-08
0.3467291.5230255.056949e-08
0.3485071.5226394.289138e-08
0.351.522323.644500e-08
0.3502941.5222583.587967e-08
0.3520911.5218813.242969e-08
0.3538971.5215092.896202e-08
0.3557121.5211422.547656e-08
0.3575361.5207792.197323e-08
0.3593691.5204211.845193e-08
0.361.5202991.724100e-08
0.3612121.5200671.658142e-08
0.3630651.5197181.557367e-08
0.3649271.5193731.456075e-08
0.3667981.5190321.354263e-08
0.368681.5186951.251930e-08
0.371.5184621.180100e-08
0.370571.5183621.164611e-08
0.3724711.5180331.113004e-08
0.3743811.5177081.061132e-08
0.3763011.5173871.008994e-08
0.3782311.517079.565882e-09
0.381.5167849.085500e-09
0.3801711.5167579.036464e-09
0.382121.5164478.476468e-09
0.384081.5161417.913599e-09
0.386051.5158397.347845e-09
0.388031.515546.779189e-09
0.391.5152486.213300e-09
0.390021.5152456.213615e-09
0.392021.5149536.245479e-09
0.394031.5146656.277506e-09
0.3960511.514386.309697e-09
0.3980821.5140986.342053e-09
0.41.5138376.372600e-09
0.4001241.513826.395352e-09
0.4021761.5135456.771841e-09
0.4042391.5132737.150260e-09
0.4063121.5130047.530619e-09
0.4083961.5127387.912930e-09
0.410491.5124768.297201e-09
0.4125951.5122168.683443e-09
0.4147111.5119599.071665e-09
0.4168381.5117069.461879e-09
0.4189761.5114559.854094e-09
0.421.5113361.004200e-08
0.4211251.5112071.006888e-08
0.4232841.5109611.012049e-08
0.4254551.5107191.017238e-08
0.4276371.5104791.022453e-08
0.429831.5102421.027694e-08
0.4320351.5100081.032963e-08
0.434251.5097761.038258e-08
0.4364771.5095471.043581e-08
0.4387161.509321.048931e-08
0.441.5091921.052000e-08
0.4409661.5090961.036588e-08
0.4432271.5088741.000500e-08
0.44551.5086559.642275e-09
0.4477851.5084389.277685e-09
0.4500821.5082248.911226e-09
0.452391.5080128.542887e-09
0.454711.5078028.172659e-09
0.4570421.5075957.800532e-09
0.4593861.5073897.426496e-09
0.461.5073367.328500e-09
0.4617421.5071867.356248e-09
0.464111.5069867.393971e-09
0.466491.5067877.431887e-09
0.4688831.506597.469998e-09
0.4712871.5063967.508305e-09
0.4737041.5062047.546808e-09
0.4761341.5060137.585508e-09
0.4785751.5058257.624407e-09
0.481.5057177.647100e-09
0.481031.5056397.868918e-09
0.4834971.5054558.400291e-09
0.4859761.5052728.934388e-09
0.4884691.5050929.471225e-09
0.4909741.5049131.001082e-08
0.4934921.5047371.055317e-08
0.4960231.5045621.109831e-08
0.4985671.5043891.164625e-08
0.51.5042931.195500e-08
0.5011231.5042181.198185e-08
0.5036931.5040481.204327e-08
0.5062771.5038811.210501e-08
0.5088731.5037151.216707e-08
0.5114831.503551.222944e-08
0.5141061.5033881.229213e-08
0.5167431.5032271.235515e-08
0.5193931.5030681.241849e-08
0.5220561.502911.248215e-08
0.5247341.5027541.254614e-08
0.5274251.5025991.261046e-08
0.530131.5024471.267510e-08
0.5328491.5022951.274008e-08
0.5355811.5021451.280540e-08
0.5383281.5019971.287104e-08
0.5410891.501851.293703e-08
0.5438641.5017041.300335e-08
0.5466531.501561.307001e-08
0.5494571.5014181.313701e-08
0.551.501391.315000e-08
0.5522751.5012761.342236e-08
0.5551071.5011371.376150e-08
0.5579541.5009981.410239e-08
0.5608151.5008611.444502e-08
0.5636911.5007251.478941e-08
0.5665821.500591.513557e-08
0.5694881.5004571.548350e-08
0.5724091.5003251.583321e-08
0.5753441.5001941.618472e-08
0.5782951.5000651.653803e-08
0.5812611.4999371.689316e-08
0.5842421.4998091.725010e-08
0.5872381.4996841.760888e-08
0.590251.4995591.796950e-08
0.5932771.4994351.833196e-08
0.5963191.4993131.869629e-08
0.5993781.4991911.906248e-08
0.61.4991671.913700e-08
0.6024521.4990711.921520e-08
0.6055411.4989521.931377e-08
0.6086471.4988341.941283e-08
0.6117681.4987171.951241e-08
0.6149061.4986011.961249e-08
0.6180591.4984861.971309e-08
0.6212291.4983721.981420e-08
0.6244151.4982591.991584e-08
0.6276171.4981482.001799e-08
0.6308361.4980372.012067e-08
0.6340711.4979272.022387e-08
0.6373231.4978182.032761e-08
0.6405921.497712.043187e-08
0.6438771.4976032.053667e-08
0.6471791.4974962.064201e-08
0.651.4974072.073200e-08
0.6504981.4973912.074788e-08
0.6538341.4972872.085423e-08
0.6571871.4971832.096113e-08
0.6605581.497082.106858e-08
0.6639451.4969782.117658e-08
0.6673511.4968772.128514e-08
0.6707731.4967772.139425e-08
0.6742131.4966782.150391e-08
0.6776711.4965792.161415e-08
0.6811461.4964812.172494e-08
0.684641.4963842.183631e-08
0.6881511.4962882.194825e-08
0.691681.4961922.206076e-08
0.6952271.4960982.217384e-08
0.6987931.4960042.228751e-08
0.71.4959722.232600e-08
0.7023761.495912.240181e-08
0.7059791.4958182.251672e-08
0.7095991.4957262.263222e-08
0.7132381.4956342.274831e-08
0.7168961.4955442.286499e-08
0.7205731.4954542.298228e-08
0.7242681.4953652.310016e-08
0.7279831.4952762.321865e-08
0.7317161.4951882.333775e-08
0.7354691.4951012.345746e-08
0.7392411.4950142.357778e-08
0.7430321.4949282.369872e-08
0.7468431.4948422.382028e-08
0.7506731.4947572.394246e-08
0.7545231.4946732.406527e-08
0.7583921.4945892.418871e-08
0.7622821.4945052.431278e-08
0.7661911.4944232.443749e-08
0.770121.494342.456284e-08
0.774071.4942592.468883e-08
0.778041.4941772.481547e-08
0.782031.4940972.494276e-08
0.7860411.4940162.507070e-08
0.7900721.4939372.519929e-08
0.7941241.4938572.532855e-08
0.7981961.4937792.545847e-08
0.81.4937442.551600e-08
0.802291.49372.496758e-08
0.8064051.4936222.398223e-08
0.810541.4935452.299182e-08
0.8146971.4934682.199633e-08
0.8188751.4933912.099574e-08
0.8230751.4933151.999002e-08
0.8272961.4932391.897914e-08
0.8315391.4931641.796307e-08
0.8358031.4930891.694179e-08
0.840091.4930141.591528e-08
0.8443981.492941.488350e-08
0.8487291.4928661.384643e-08
0.851.4928451.354200e-08
0.8530821.4927931.359106e-08
0.8574571.4927191.366071e-08
0.8618541.4926471.373072e-08
0.8662741.4925741.380108e-08
0.8707171.4925021.387181e-08
0.8751821.492431.394290e-08
0.8796711.4923581.401436e-08
0.8841821.4922871.408618e-08
0.8887171.4922161.415837e-08
0.8932741.4921451.423093e-08
0.8978561.4920751.430386e-08
0.91.4920421.433800e-08
0.902461.4920051.437722e-08
0.9070881.4919351.445099e-08
0.9117411.4918651.452514e-08
0.9164161.4917951.459968e-08
0.9211161.4917261.467459e-08
0.925841.4916571.474989e-08
0.9305881.4915881.482558e-08
0.9353611.491521.490165e-08
0.9401581.4914511.497812e-08
0.944981.4913831.505497e-08
0.9498261.4913151.513222e-08
0.951.4913131.513500e-08
0.9546971.4912471.520978e-08
0.9595931.491181.528772e-08
0.9645151.4911121.536607e-08
0.9694611.4910451.544482e-08
0.9744331.4909771.552397e-08
0.979431.490911.560353e-08
0.9844531.4908431.568350e-08
0.9895021.4907771.576387e-08
0.9945771.490711.584466e-08
0.9996781.4906431.592587e-08
11.4906391.593100e-08
1.00481.4905771.600755e-08
1.009961.490511.608966e-08
1.015141.4904441.617219e-08
1.020341.4903781.625514e-08
1.025581.4903121.633851e-08
1.030841.4902461.642232e-08
1.036121.490181.650655e-08
1.041441.4901141.659122e-08
1.046781.4900481.667632e-08
1.052151.4899821.676185e-08
1.057541.4899161.684783e-08
1.061.4898861.688700e-08
1.062971.489851.693425e-08
1.068421.4897841.702113e-08
1.07391.4897181.710844e-08
1.07941.4896521.719621e-08
1.084941.4895871.728443e-08
1.09051.4895211.737309e-08
1.09611.4894551.746222e-08
1.101721.4893891.755180e-08
1.107371.4893231.764184e-08
1.113051.4892571.773234e-08
1.118761.4891911.782330e-08
1.124491.4891251.791474e-08
1.130261.4890591.800664e-08
1.136061.4889921.809901e-08
1.141881.4889261.819185e-08
1.147741.488861.828518e-08
1.153621.4887931.837898e-08
1.159541.4887261.847326e-08
1.165491.488661.856802e-08
1.171471.4885931.866328e-08
1.177471.4885261.875902e-08
1.183511.4884591.885525e-08
1.189581.4883911.895197e-08
1.195681.4883241.904919e-08
1.21.4882761.911800e-08
1.201811.4882561.934963e-08
1.207981.4881882.013655e-08
1.214171.4881212.092752e-08
1.22041.4880522.172254e-08
1.226661.4879842.252164e-08
1.232951.4879162.332483e-08
1.239271.4878472.413215e-08
1.245631.4877782.494360e-08
1.252021.4877092.575922e-08
1.258441.4876392.657902e-08
1.264891.487572.740302e-08
1.271381.48752.823125e-08
1.27791.487432.906373e-08
1.284451.487362.990047e-08
1.291041.4872893.074151e-08
1.297661.4872183.158686e-08
1.304321.4871473.243655e-08
1.311011.4870753.329059e-08
1.317731.4870043.414902e-08
1.324491.4869323.501184e-08
1.331281.4868593.587910e-08
1.338111.4867863.675080e-08
1.344971.4867133.762697e-08
1.351871.486643.850763e-08
1.35881.4865663.939281e-08
1.365771.4864924.028253e-08
1.372771.4864184.117681e-08
1.379811.4863434.207568e-08
1.386891.4862684.297916e-08
1.3941.4861924.388727e-08
1.41.4861284.465300e-08
1.401151.4861164.498478e-08
1.408341.486044.705491e-08
1.415561.4859634.913565e-08
1.422821.4858855.122707e-08
1.430121.4858085.332921e-08
1.437451.485735.544214e-08
1.444821.4856515.756590e-08
1.452231.4855725.970055e-08
1.459681.4854926.184615e-08
1.467171.4854126.400275e-08
1.474691.4853326.617042e-08
1.482251.4852516.834920e-08
1.489861.4851697.053915e-08
1.49751.4850877.274033e-08
1.505181.4850047.495281e-08
1.51291.4849217.717663e-08
1.520651.4848387.941185e-08
1.528451.4847538.165854e-08
1.536291.4846698.391675e-08
1.544171.4845838.618655e-08
1.552091.4844978.846798e-08
1.560051.4844119.076111e-08
1.568051.4843239.306601e-08
1.576091.4842369.538272e-08
1.584181.4841479.771132e-08
1.59231.4840581.000519e-07
1.61.4839731.022700e-07
1.600471.4839681.031872e-07
1.608671.4838781.193250e-07
1.616921.4837871.355456e-07
1.625221.4836951.518493e-07
1.633551.4836031.682366e-07
1.641931.4835091.847080e-07
1.650351.4834162.012639e-07
1.658811.4833212.179047e-07
1.667321.4832262.346308e-07
1.675871.483132.514427e-07
1.684471.4830332.683408e-07
1.693111.4829352.853255e-07
1.701791.4828373.023974e-07
1.710521.4827373.195569e-07
1.719291.4826373.368043e-07
1.728111.4825363.541402e-07
1.736971.4824353.715650e-07
1.745881.4823323.890792e-07
1.754831.4822294.066831e-07
1.763831.4821244.243774e-07
1.772881.4820194.421624e-07
1.781971.4819134.600386e-07
1.791111.4818064.780065e-07
1.81.4817024.954900e-07
1.800291.4816984.967348e-07
1.809531.4815895.359240e-07
1.818811.4814795.753142e-07
1.828131.4813696.149064e-07
1.837511.4812576.547017e-07
1.846931.4811446.947010e-07
1.856411.481037.349055e-07
1.865931.4809157.753162e-07
1.87551.4807998.159341e-07
1.885111.4806838.567603e-07
1.894781.4805658.977959e-07
1.90451.4804459.390420e-07
1.914271.4803259.804996e-07
1.924081.4802041.022170e-06
1.933951.4800821.064054e-06
1.943871.4799581.106152e-06
1.953841.4798331.148467e-06
1.963861.4797071.190999e-06
1.973931.479581.233748e-06
1.984051.4794521.276717e-06
1.994231.4793221.319907e-06
21.4792491.344400e-06
2.004461.4791911.381999e-06
2.014741.4790591.468720e-06
2.025071.4789261.555886e-06
2.035461.4787911.643499e-06
2.045891.4786551.731561e-06
2.056391.4785181.820075e-06
2.066931.4783791.909043e-06
2.077531.4782391.998467e-06
2.088191.4780982.088349e-06
2.09891.4779552.178693e-06
2.109661.4778112.269500e-06
2.120481.4776652.360773e-06
2.131361.4775182.452514e-06
2.142291.4773692.544725e-06
2.153271.4772192.637409e-06
2.164321.4770672.730569e-06
2.175421.4769142.824206e-06
2.186571.4767592.918323e-06
2.197791.4766033.012924e-06
2.21.4765723.031600e-06
2.209061.4764453.118126e-06
2.220391.4762853.226354e-06
2.231771.4761243.335137e-06
2.243221.4759613.444477e-06
2.254721.4757963.554379e-06
2.266291.4756293.664844e-06
2.277911.4754613.775875e-06
2.289591.4752913.887476e-06
2.301331.4751193.999650e-06
2.313141.4749464.112398e-06
2.3251.474774.225725e-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
—