Optical constants

Refractive index of H-ZK11 (CDGM)

H-ZK11: n,k 0.313–2.325 µm

Data
formula 2 + tabulated k
Range
0.313–2.325 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength. Note: k data cover 330-2400 nm only; k = 0 elsewhere in the n range 313-2325 nm.

At one wavelength

Range 0.313–2.325 µm
Refractive index n
1.63854
Extinction coefficient k
2.23480e-08
Permittivity ε1
2.68481
Permittivity ε2
7.32362e-08
Absorption coefficient α
0.00477933 cm⁻¹
Penetration depth δ = λ/(2πk)
4.18468e+09 nm
Abbe number Vd
55.447
Chromatic dispersion dn/dλ
-0.0593152 µm⁻¹
Group index ng
1.67339
Group velocity dispersion
105.582 fs²/mm
Dispersion parameter D
-576.008 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-ZK11 (CDGM): H-ZK11
cdgm_h_zk11 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZK11", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zk11.range_nm)  # (313, 2325) nm
eps = cdgm_h_zk11.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=0.053461546λ2λ2−0.0456429986+1.5837823λ2λ2−0.00912260162+0.918196297λ2λ2−89.3234474

Valid from 0.313 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.053461546
C30.0456429986
C41.5837823
C50.00912260162
C60.918196297
C789.3234474

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -1.64e-06 1.58e-08 -3.17e-11 4.74e-07 3.85e-10 0.203
nd
1.638540
Vd
55.446553
glass code
639555
glass status
standard
density
value: 3690
thermal expansion
value: 6.9e-06, temperature range: 243 343; value: 8.2e-06, temperature range: 293 573
dPgF
-0.0013
resistance
climatic: 3.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -1.65e-07 K⁻¹ at 633 nm, dn/dT = -6.82e-07 K⁻¹ at 1310 nm, dn/dT = -7.20e-07 K⁻¹ at 1550 nm
Notes on the source data (kept exactly as published):
  • k data cover 330-2400 nm only; k = 0 elsewhere in the n range 313-2325 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 429 wavelengths, the same grid as the API and the library
H-ZK11 (CDGM), H-ZK11: n and k versus wavelength
λ (µm)nk
0.3131.6868580
0.3145771.6860670
0.3161621.6852890
0.3177551.6845240
0.3193561.6837710
0.3209651.6830290
0.3225821.68230
0.3242071.6815820
0.3258411.6808740
0.3274831.6801780
0.3291331.6794920
0.331.6791378.958100e-06
0.3307911.6788178.546267e-06
0.3324581.6781527.678390e-06
0.3341331.6774966.806140e-06
0.3358161.676855.929495e-06
0.3375081.6762145.048433e-06
0.3392091.6755874.162933e-06
0.341.6752993.750800e-06
0.3409181.6749693.545841e-06
0.3426351.674363.162181e-06
0.3443621.6737592.776588e-06
0.3460971.6731672.389051e-06
0.347841.6725831.999562e-06
0.3495931.6720071.608111e-06
0.351.6718751.517200e-06
0.3513541.671441.403174e-06
0.3531251.670881.254134e-06
0.3549041.6703281.104343e-06
0.3566921.6697839.537972e-07
0.3584891.6692468.024929e-07
0.361.6688026.752900e-07
0.3602951.6687166.648960e-07
0.3621111.6681936.010062e-07
0.3639351.6676775.367945e-07
0.3657691.6671674.722592e-07
0.3676121.6666654.073988e-07
0.3694641.6661693.422116e-07
0.371.6660273.233400e-07
0.3713251.665683.031596e-07
0.3731961.6651972.746716e-07
0.3750761.664722.460402e-07
0.3769661.6642492.172644e-07
0.3788661.6637851.883437e-07
0.381.6635111.710700e-07
0.3807741.6633261.661359e-07
0.3826931.6628731.539132e-07
0.3846211.6624261.416289e-07
0.3865591.6619851.292827e-07
0.3885071.6615491.168743e-07
0.391.661221.073600e-07
0.3904641.6611191.055129e-07
0.3924311.6606939.768237e-08
0.3944091.6602748.981242e-08
0.3963961.6598598.190282e-08
0.3983931.6594497.395337e-08
0.41.6591256.755700e-08
0.40041.6590456.694483e-08
0.4024181.6586456.385936e-08
0.4044451.658256.075834e-08
0.4064831.657865.764170e-08
0.4085311.6574755.450935e-08
0.4105891.6570955.136122e-08
0.4126581.6567184.819723e-08
0.4147371.6563474.501730e-08
0.4168271.655984.182135e-08
0.4189271.6556173.860929e-08
0.421.6554343.696800e-08
0.4210381.6552583.687576e-08
0.4231591.6549043.668717e-08
0.4252911.6545543.649763e-08
0.4274341.6542083.630714e-08
0.4295871.6538663.611568e-08
0.4317521.6535283.592327e-08
0.4339271.6531943.572988e-08
0.4361131.6528643.553552e-08
0.4383111.6525373.534018e-08
0.441.652293.519000e-08
0.4405191.6522143.503977e-08
0.4427391.6518953.439744e-08
0.4449691.651583.375188e-08
0.4472111.6512683.310307e-08
0.4494641.650963.245098e-08
0.4517291.6506553.179561e-08
0.4540051.6503543.113694e-08
0.4562921.6500563.047495e-08
0.4585911.6497612.980963e-08
0.461.6495832.940200e-08
0.4609021.649472.911267e-08
0.4632241.6491822.836782e-08
0.4655581.6488972.761922e-08
0.4679041.6486152.686685e-08
0.4702611.6483372.611069e-08
0.4726311.6480612.535071e-08
0.4750121.6477882.458691e-08
0.4774051.6475192.381926e-08
0.4798111.6472522.304774e-08
0.481.6472312.298700e-08
0.4822281.6469882.264799e-08
0.4846581.6467282.227832e-08
0.48711.646472.190679e-08
0.4895541.6462142.153338e-08
0.492021.6459622.115809e-08
0.4944991.6457122.078091e-08
0.4969911.6454652.040184e-08
0.4994951.645222.002085e-08
0.51.6451711.994400e-08
0.5020121.6449781.984736e-08
0.5045411.6447391.972585e-08
0.5070831.6445021.960373e-08
0.5096381.6442681.948100e-08
0.5122061.6440361.935764e-08
0.5147861.6438061.923366e-08
0.517381.6435791.910906e-08
0.5199871.6433551.898383e-08
0.5226071.6431321.885797e-08
0.525241.6429121.873148e-08
0.5278861.6426941.860435e-08
0.5305461.6424791.847658e-08
0.5332191.6422661.834816e-08
0.5359061.6420541.821910e-08
0.5386061.6418451.808939e-08
0.5413191.6416381.795902e-08
0.5440471.6414341.782800e-08
0.5467881.6412311.769631e-08
0.5495431.641031.756397e-08
0.551.6409971.754200e-08
0.5523121.6408311.783747e-08
0.5550941.6406351.819316e-08
0.5578911.640441.855064e-08
0.5607021.6402471.890993e-08
0.5635271.6400561.927103e-08
0.5663661.6398671.963394e-08
0.569221.639681.999869e-08
0.5720881.6394952.036527e-08
0.574971.6393112.073370e-08
0.5778671.6391292.110398e-08
0.5807791.6389492.147613e-08
0.5837051.6387712.185016e-08
0.5866461.6385942.222607e-08
0.5896021.638422.260387e-08
0.5925721.6382462.298358e-08
0.5955581.6380752.336520e-08
0.5985581.6379052.374875e-08
0.61.6378242.393300e-08
0.6015741.6377372.383222e-08
0.6046051.637572.363817e-08
0.6076511.6374052.344315e-08
0.6107131.6372412.324715e-08
0.613791.6370792.305016e-08
0.6168831.6369182.285218e-08
0.6199911.6367592.265320e-08
0.6231141.6366012.245321e-08
0.6262541.6364452.225222e-08
0.6294091.636292.205022e-08
0.632581.6361372.184720e-08
0.6357681.6359852.164315e-08
0.6389711.6358342.143808e-08
0.642191.6356852.123198e-08
0.6454261.6355372.102483e-08
0.6486781.635392.081665e-08
0.651.6353312.073200e-08
0.6519461.6352442.079404e-08
0.6552311.63512.089876e-08
0.6585321.6349572.100401e-08
0.661851.6348162.110978e-08
0.6651851.6346752.121609e-08
0.6685361.6345362.132294e-08
0.6719051.6343982.143032e-08
0.675291.6342612.153824e-08
0.6786921.6341252.164671e-08
0.6821121.633992.175573e-08
0.6855491.6338572.186529e-08
0.6890031.6337252.197540e-08
0.6924741.6335932.208607e-08
0.6959631.6334632.219730e-08
0.699471.6333342.230909e-08
0.71.6333142.232600e-08
0.7029941.6332062.223023e-08
0.7065361.6330792.211692e-08
0.7100961.6329522.200304e-08
0.7136731.6328272.188859e-08
0.7172691.6327032.177356e-08
0.7208831.632582.165795e-08
0.7245151.6324582.154176e-08
0.7281651.6323372.142499e-08
0.7318341.6322162.130762e-08
0.7355221.6320972.118967e-08
0.7392271.6319782.107112e-08
0.7429521.6318612.095197e-08
0.7466951.6317442.083222e-08
0.7504571.6316282.071187e-08
0.7542381.6315132.059091e-08
0.7580391.6313992.046935e-08
0.7618581.6312852.034717e-08
0.7656961.6311722.022437e-08
0.7695541.6310612.010096e-08
0.7734321.630951.997692e-08
0.7773281.6308391.985226e-08
0.7812451.630731.972697e-08
0.7851811.6306211.960105e-08
0.7891371.6305131.947450e-08
0.7931131.6304051.934731e-08
0.7971091.6302991.921948e-08
0.81.6302221.912700e-08
0.8011251.6301931.900130e-08
0.8051621.6300871.855043e-08
0.8092181.6299831.809730e-08
0.8132961.6298791.764188e-08
0.8173931.6297761.718416e-08
0.8215121.6296731.672414e-08
0.8256511.6295711.626181e-08
0.8298111.6294691.579714e-08
0.8339921.6293681.533013e-08
0.8381941.6292681.486077e-08
0.8424171.6291681.438904e-08
0.8466611.6290691.391494e-08
0.851.6289921.354200e-08
0.8509271.6289711.355676e-08
0.8552141.6288731.362501e-08
0.8595231.6287751.369361e-08
0.8638541.6286781.376255e-08
0.8682061.6285821.383184e-08
0.8725811.6284861.390148e-08
0.8769771.628391.397148e-08
0.8813961.6282951.404182e-08
0.8858361.62821.411252e-08
0.89031.6281061.418357e-08
0.8947851.6280131.425498e-08
0.8992941.6279191.432675e-08
0.91.6279051.433800e-08
0.9038251.6278271.497870e-08
0.9083781.6277341.574155e-08
0.9129551.6276421.650825e-08
0.9175551.6275511.727882e-08
0.9221781.6274591.805326e-08
0.9268241.6273691.883161e-08
0.9314941.6272781.961388e-08
0.9361871.6271882.040009e-08
0.9409041.6270982.119026e-08
0.9456451.6270092.198442e-08
0.951.6269272.271400e-08
0.9504091.626922.272378e-08
0.9551981.6268312.283823e-08
0.9600111.6267422.295325e-08
0.9648471.6266542.306885e-08
0.9697091.6265662.318504e-08
0.9745951.6264792.330181e-08
0.9795051.6263912.341917e-08
0.984441.6263042.353712e-08
0.98941.6262172.365566e-08
0.9943851.6261312.377480e-08
0.9993951.6260442.389454e-08
11.6260342.390900e-08
1.004431.6259582.401496e-08
1.009491.6258722.413600e-08
1.014581.6257862.425764e-08
1.019691.6257012.437990e-08
1.024831.6256152.450278e-08
1.029991.625532.462627e-08
1.035181.6254452.475038e-08
1.04041.625362.487512e-08
1.045641.6252752.500049e-08
1.050911.6251912.512650e-08
1.05621.6251062.525313e-08
1.061.6250462.534400e-08
1.061521.6250222.538039e-08
1.066871.6249382.550825e-08
1.072251.6248532.563676e-08
1.077651.6247692.576592e-08
1.083081.6246852.589573e-08
1.088531.6246012.602619e-08
1.094021.6245182.615730e-08
1.099531.6244342.628908e-08
1.105071.624352.642153e-08
1.110641.6242662.655464e-08
1.116231.6241832.668842e-08
1.121861.6240992.682287e-08
1.127511.6240152.695800e-08
1.133191.6239312.709381e-08
1.13891.6238482.723031e-08
1.144641.6237642.736750e-08
1.150411.623682.750537e-08
1.15621.6235962.764394e-08
1.162031.6235132.778321e-08
1.167881.6234292.792318e-08
1.173771.6233452.806386e-08
1.179681.6232612.820524e-08
1.185631.6231772.834734e-08
1.19161.6230922.849015e-08
1.19761.6230082.863369e-08
1.21.6229752.869100e-08
1.203641.6229243.061493e-08
1.20971.6228393.382327e-08
1.21581.6227543.704777e-08
1.221921.622674.028852e-08
1.228081.6225854.354560e-08
1.234271.62254.681909e-08
1.240481.6224145.010907e-08
1.246731.6223295.341563e-08
1.253021.6222435.673885e-08
1.259331.6221576.007881e-08
1.265671.6220716.343560e-08
1.272051.6219856.680930e-08
1.278461.6218987.020000e-08
1.28491.6218127.360779e-08
1.291381.6217257.703274e-08
1.297881.6216378.047495e-08
1.304421.621558.393450e-08
1.310991.6214628.741149e-08
1.31761.6213749.090599e-08
1.324241.6212869.441810e-08
1.330911.6211979.794790e-08
1.337611.6211081.014955e-07
1.344351.6210191.050610e-07
1.351131.6209291.086444e-07
1.357941.6208391.122459e-07
1.364781.6207491.158655e-07
1.371651.6206581.195034e-07
1.378561.6205671.231595e-07
1.385511.6204761.268342e-07
1.392491.6203841.305273e-07
1.399511.6202921.342390e-07
1.41.6202851.345000e-07
1.406561.6201991.338642e-07
1.413641.6201061.331771e-07
1.420771.6200131.324866e-07
1.427931.6199191.317926e-07
1.435121.6198241.310951e-07
1.442351.6197291.303941e-07
1.449621.6196341.296895e-07
1.456921.6195381.289814e-07
1.464261.6194421.282698e-07
1.471641.6193451.275545e-07
1.479051.6192481.268357e-07
1.486511.619151.261132e-07
1.4941.6190511.253871e-07
1.501521.6189521.246573e-07
1.509091.6188531.239238e-07
1.516691.6187531.231867e-07
1.524331.6186521.224458e-07
1.532011.6185511.217012e-07
1.539731.6184491.209529e-07
1.547491.6183461.202008e-07
1.555291.6182431.194449e-07
1.563121.6181391.186852e-07
1.5711.6180351.179216e-07
1.578911.6179291.171542e-07
1.586871.6178241.163830e-07
1.594871.6177171.156078e-07
1.61.6176481.151100e-07
1.60291.617611.178497e-07
1.610981.6175021.254775e-07
1.619091.6173931.331438e-07
1.627251.6172831.408487e-07
1.635451.6171731.485924e-07
1.643691.6170621.563751e-07
1.651971.616951.641970e-07
1.660291.6168381.720584e-07
1.668661.6167241.799593e-07
1.677071.616611.879001e-07
1.685521.6164951.958809e-07
1.694011.6163792.039018e-07
1.702541.6162622.119632e-07
1.711121.6161442.200652e-07
1.719741.6160262.282081e-07
1.728411.6159062.363919e-07
1.737121.6157862.446170e-07
1.745871.6156642.528835e-07
1.754671.6155422.611917e-07
1.763511.6154192.695418e-07
1.772391.6152942.779339e-07
1.781321.6151692.863683e-07
1.79031.6150432.948452e-07
1.799321.6149153.033648e-07
1.81.6149063.040100e-07
1.808381.6147873.191941e-07
1.817491.6146583.356984e-07
1.826651.6145273.522858e-07
1.835851.6143953.689568e-07
1.84511.6142633.857119e-07
1.85441.6141294.025513e-07
1.863741.6139944.194756e-07
1.873131.6138574.364851e-07
1.882571.613724.535804e-07
1.892061.6135814.707617e-07
1.901591.6134424.880297e-07
1.911171.6133015.053846e-07
1.92081.6131585.228270e-07
1.930481.6130155.403573e-07
1.94021.612875.579759e-07
1.949981.6127245.756833e-07
1.95981.6125765.934799e-07
1.969681.6124276.113661e-07
1.97961.6122776.293425e-07
1.989581.6121266.474094e-07
1.99961.6119736.655674e-07
21.6119666.662900e-07
2.009681.6118187.404027e-07
2.01981.6116628.179598e-07
2.029981.6115058.959076e-07
2.040211.6113469.742482e-07
2.050491.6111861.052984e-06
2.060821.6110241.132115e-06
2.07121.6108611.211646e-06
2.081641.6106961.291578e-06
2.092121.6105291.371912e-06
2.102661.6103611.452651e-06
2.113261.6101911.533796e-06
2.123911.610021.615351e-06
2.134611.6098461.697316e-06
2.145361.6096721.779695e-06
2.156171.6094951.862488e-06
2.167031.6093171.945699e-06
2.177951.6091362.029328e-06
2.188931.6089542.113380e-06
2.199951.6087712.197854e-06
2.21.608772.198200e-06
2.211041.6085852.359255e-06
2.222181.6083982.521783e-06
2.233381.6082082.685131e-06
2.244631.6080172.849301e-06
2.255941.6078233.014298e-06
2.26731.6076283.180127e-06
2.278731.6074313.346791e-06
2.290211.6072313.514295e-06
2.301751.607033.682643e-06
2.313341.6068263.851839e-06
2.3251.6066214.021888e-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
—