Optical constants

Refractive index of H-ZK8 (CDGM)

H-ZK8: 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 320-2400 nm only; k = 0 elsewhere in the n range 313-2325 nm.

At one wavelength

Range 0.313–2.325 µm
Refractive index n
1.61405
Extinction coefficient k
1.87414e-08
Permittivity ε1
2.60515
Permittivity ε2
6.04992e-08
Absorption coefficient α
0.00400803 cm⁻¹
Penetration depth δ = λ/(2πk)
4.98998e+09 nm
Abbe number Vd
55.116
Chromatic dispersion dn/dλ
-0.0573013 µm⁻¹
Group index ng
1.64772
Group velocity dispersion
103.443 fs²/mm
Dispersion parameter D
-564.337 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-ZK8 (CDGM): H-ZK8
cdgm_h_zk8 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZK8", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zk8.range_nm)  # (313, 2325) nm
eps = cdgm_h_zk8.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=0.600949826λ2λ2−5.19864453×10-11+0.958288632λ2λ2−0.0167563008+1.1405978λ2λ2−133.109431

Valid from 0.313 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.600949826
C35.19864453e-11
C40.958288632
C50.0167563008
C61.1405978
C7133.109431

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -3.5e-06 2.04e-08 -3.25e-11 5.04e-07 -5.67e-10 0.213
nd
1.614050
Vd
55.116283
glass code
614551
density
value: 3580
thermal expansion
value: 8.6e-06, temperature range: 243 343; value: 9.8e-06, temperature range: 293 573
resistance
climatic: 4.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -1.03e-06 K⁻¹ at 633 nm, dn/dT = -1.55e-06 K⁻¹ at 1310 nm, dn/dT = -1.59e-06 K⁻¹ at 1550 nm
Notes on the source data (kept exactly as published):
  • k data cover 320-2400 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 430 wavelengths, the same grid as the API and the library
H-ZK8 (CDGM), H-ZK8: n and k versus wavelength
λ (µm)nk
0.3131.6601560
0.3145771.6594360
0.3161621.6587270
0.3177551.6580260
0.3193561.6573350
0.321.6570615.863500e-06
0.3209651.6566545.523636e-06
0.3225821.6559814.954061e-06
0.3242071.6553174.381615e-06
0.3258411.6546633.806285e-06
0.3274831.6540173.228057e-06
0.3291331.6533792.646915e-06
0.331.6530482.341400e-06
0.3307911.652752.235628e-06
0.3324581.6521292.012730e-06
0.3341331.6515161.788708e-06
0.3358161.6509111.563558e-06
0.3375081.6503141.337273e-06
0.3392091.6497251.109849e-06
0.341.6494541.004000e-06
0.3409181.6491439.549149e-07
0.3426351.6485698.630329e-07
0.3443621.6480027.706880e-07
0.3460971.6474436.778778e-07
0.347841.646895.845999e-07
0.3495931.6463454.908521e-07
0.351.646224.690800e-07
0.3513541.6458074.383236e-07
0.3531251.6452753.981227e-07
0.3549041.644753.577193e-07
0.3566921.6442323.171123e-07
0.3584891.643722.763007e-07
0.361.6432972.419900e-07
0.3602951.6432152.385746e-07
0.3621111.6427162.175805e-07
0.3639351.6422231.964807e-07
0.3657691.6417361.752745e-07
0.3676121.6412551.539615e-07
0.3694641.6407811.325412e-07
0.371.6406451.263400e-07
0.3713251.6403121.201539e-07
0.3731961.6398491.114212e-07
0.3750761.6393911.026444e-07
0.3769661.6389399.382349e-08
0.3788661.6384938.495810e-08
0.381.638237.966300e-08
0.3807741.6380527.761455e-08
0.3826931.6376177.254014e-08
0.3846211.6371866.744016e-08
0.3865591.6367616.231449e-08
0.3885071.6363415.716299e-08
0.391.6360245.321300e-08
0.3904641.6359265.252687e-08
0.3924311.6355174.961820e-08
0.3944091.6351114.669487e-08
0.3963961.6347114.375682e-08
0.3983931.6343164.080396e-08
0.41.6340023.842800e-08
0.40041.6339253.826366e-08
0.4024181.6335393.743532e-08
0.4044451.6331573.660281e-08
0.4064831.632783.576611e-08
0.4085311.6324083.492519e-08
0.4105891.6320393.408004e-08
0.4126581.6316763.323063e-08
0.4147371.6313163.237694e-08
0.4168271.630963.151894e-08
0.4189271.6306093.065663e-08
0.421.6304323.021600e-08
0.4210381.6302623.029065e-08
0.4231591.6299183.044329e-08
0.4252911.6295793.059669e-08
0.4274341.6292443.075086e-08
0.4295871.6289123.090581e-08
0.4317521.6285843.106154e-08
0.4339271.628263.121806e-08
0.4361131.627943.137536e-08
0.4383111.6276233.153346e-08
0.441.6273833.165500e-08
0.4405191.627313.150080e-08
0.4427391.6270013.084149e-08
0.4449691.6266953.017887e-08
0.4472111.6263922.951290e-08
0.4494641.6260932.884358e-08
0.4517291.6257972.817089e-08
0.4540051.6255052.749480e-08
0.4562921.6252162.681531e-08
0.4585911.624932.613240e-08
0.461.6247572.571400e-08
0.4609021.6246472.559101e-08
0.4632241.6243672.527437e-08
0.4655581.624092.495615e-08
0.4679041.6238172.463631e-08
0.4702611.6235462.431487e-08
0.4726311.6232792.399181e-08
0.4750121.6230142.366712e-08
0.4774051.6227532.334079e-08
0.4798111.6224942.301282e-08
0.481.6224742.298700e-08
0.4822281.6222382.309373e-08
0.4846581.6219842.321011e-08
0.48711.6217342.332707e-08
0.4895541.6214862.344463e-08
0.492021.6212412.356278e-08
0.4944991.6209992.368152e-08
0.4969911.6207592.380086e-08
0.4994951.6205212.392081e-08
0.51.6204742.394500e-08
0.5020121.6202872.368740e-08
0.5045411.6200542.336349e-08
0.5070831.6198252.303795e-08
0.5096381.6195972.271077e-08
0.5122061.6193722.238195e-08
0.5147861.619152.205146e-08
0.517381.6189292.171931e-08
0.5199871.6187122.138549e-08
0.5226071.6184962.104999e-08
0.525241.6182832.071279e-08
0.5278861.6180712.037390e-08
0.5305461.6178622.003330e-08
0.5332191.6176561.969098e-08
0.5359061.6174511.934694e-08
0.5386061.6172481.900116e-08
0.5413191.6170481.865365e-08
0.5440471.616851.830438e-08
0.5467881.6166531.795335e-08
0.5495431.6164591.760055e-08
0.551.6164271.754200e-08
0.5523121.6162661.761574e-08
0.5550941.6160761.770451e-08
0.5578911.6158871.779373e-08
0.5607021.6157011.788339e-08
0.5635271.6155161.797351e-08
0.5663661.6153331.806409e-08
0.569221.6151521.815511e-08
0.5720881.6149731.824660e-08
0.574971.6147951.833855e-08
0.5778671.614621.843096e-08
0.5807791.6144461.852384e-08
0.5837051.6142731.861719e-08
0.5866461.6141031.871100e-08
0.5896021.6139341.880529e-08
0.5925721.6137661.890005e-08
0.5955581.6136011.899530e-08
0.5985581.6134371.909102e-08
0.61.6133591.913700e-08
0.6015741.6132741.918722e-08
0.6046051.6131131.928391e-08
0.6076511.6129541.938108e-08
0.6107131.6127961.947875e-08
0.613791.612641.957690e-08
0.6168831.6124851.967555e-08
0.6199911.6123321.977470e-08
0.6231141.612181.987435e-08
0.6262541.6120291.997450e-08
0.6294091.611882.007516e-08
0.632581.6117322.017632e-08
0.6357681.6115862.027799e-08
0.6389711.6114412.038017e-08
0.642191.6112972.048287e-08
0.6454261.6111552.058609e-08
0.6486781.6110142.068982e-08
0.651.6109572.073200e-08
0.6519461.6108742.057647e-08
0.6552311.6107352.031395e-08
0.6585321.6105982.005011e-08
0.661851.6104621.978494e-08
0.6651851.6103271.951843e-08
0.6685361.6101931.925058e-08
0.6719051.6100611.898138e-08
0.675291.6099291.871083e-08
0.6786921.6097991.843891e-08
0.6821121.609671.816562e-08
0.6855491.6095421.789096e-08
0.6890031.6094151.761491e-08
0.6924741.609291.733747e-08
0.6959631.6091651.705863e-08
0.699471.6090411.677839e-08
0.71.6090231.673600e-08
0.7029941.6089191.680758e-08
0.7065361.6087971.689227e-08
0.7100961.6086771.697739e-08
0.7136731.6085571.706293e-08
0.7172691.6084391.714890e-08
0.7208831.6083211.723531e-08
0.7245151.6082041.732216e-08
0.7281651.6080891.740944e-08
0.7318341.6079741.749716e-08
0.7355221.607861.758532e-08
0.7392271.6077471.767393e-08
0.7429521.6076351.776298e-08
0.7466951.6075241.785248e-08
0.7504571.6074131.794243e-08
0.7542381.6073041.803284e-08
0.7580391.6071951.812370e-08
0.7618581.6070871.821502e-08
0.7656961.606981.830680e-08
0.7695541.6068741.839904e-08
0.7734321.6067691.849175e-08
0.7773281.6066641.858492e-08
0.7812451.606561.867857e-08
0.7851811.6064571.877268e-08
0.7891371.6063551.886727e-08
0.7931131.6062531.896234e-08
0.7971091.6061521.905788e-08
0.81.606081.912700e-08
0.8011251.6060521.900130e-08
0.8051621.6059521.855043e-08
0.8092181.6058531.809730e-08
0.8132961.6057551.764188e-08
0.8173931.6056571.718416e-08
0.8215121.6055611.672414e-08
0.8256511.6054641.626181e-08
0.8298111.6053691.579714e-08
0.8339921.6052741.533013e-08
0.8381941.6051791.486077e-08
0.8424171.6050851.438904e-08
0.8466611.6049921.391494e-08
0.851.6049191.354200e-08
0.8509271.6048991.355676e-08
0.8552141.6048071.362501e-08
0.8595231.6047161.369361e-08
0.8638541.6046251.376255e-08
0.8682061.6045341.383184e-08
0.8725811.6044441.390148e-08
0.8769771.6043551.397148e-08
0.8813961.6042661.404182e-08
0.8858361.6041771.411252e-08
0.89031.6040891.418357e-08
0.8947851.6040011.425498e-08
0.8992941.6039141.432675e-08
0.91.6039011.433800e-08
0.9038251.6038281.439896e-08
0.9083781.6037421.447155e-08
0.9129551.6036561.454451e-08
0.9175551.603571.461783e-08
0.9221781.6034861.469152e-08
0.9268241.6034011.476558e-08
0.9314941.6033171.484001e-08
0.9361871.6032331.491483e-08
0.9409041.603151.499001e-08
0.9456451.6030671.506558e-08
0.951.6029911.513500e-08
0.9504091.6029841.514152e-08
0.9551981.6029021.521775e-08
0.9600111.602821.529437e-08
0.9648471.6027381.537137e-08
0.9697091.6026571.544876e-08
0.9745951.6025761.552654e-08
0.9795051.6024951.560472e-08
0.984441.6024151.568329e-08
0.98941.6023351.576225e-08
0.9943851.6022551.584161e-08
0.9993951.6021761.592137e-08
11.6021661.593100e-08
1.004431.6020961.600159e-08
1.009491.6020171.608223e-08
1.014581.6019381.616327e-08
1.019691.601861.624472e-08
1.024831.6017811.632657e-08
1.029991.6017031.640885e-08
1.035181.6016251.649153e-08
1.04041.6015481.657463e-08
1.045641.601471.665816e-08
1.050911.6013931.674210e-08
1.05621.6013161.682646e-08
1.061.6012611.688700e-08
1.061521.6012391.691126e-08
1.066871.6011621.699649e-08
1.072251.6010851.708215e-08
1.077651.6010091.716824e-08
1.083081.6009321.725476e-08
1.088531.6008561.734172e-08
1.094021.600781.742912e-08
1.099531.6007041.751696e-08
1.105071.6006281.760524e-08
1.110641.6005521.769397e-08
1.116231.6004761.778314e-08
1.121861.60041.787277e-08
1.127511.6003251.796284e-08
1.133191.6002491.805337e-08
1.13891.6001741.814435e-08
1.144641.6000981.823580e-08
1.150411.6000231.832770e-08
1.15621.5999471.842007e-08
1.162031.5998721.851290e-08
1.167881.5997971.860620e-08
1.173771.5997211.869997e-08
1.179681.5996461.879421e-08
1.185631.599571.888893e-08
1.19161.5994951.898412e-08
1.19761.5994191.907980e-08
1.21.5993891.911800e-08
1.203641.5993441.917593e-08
1.20971.5992681.927254e-08
1.21581.5991931.936963e-08
1.221921.5991171.946721e-08
1.228081.5990411.956528e-08
1.234271.5989661.966385e-08
1.240481.598891.976292e-08
1.246731.5988141.986248e-08
1.253021.5987381.996254e-08
1.259331.5986612.006311e-08
1.265671.5985852.016419e-08
1.272051.5985092.026577e-08
1.278461.5984322.036787e-08
1.28491.5983552.047048e-08
1.291381.5982782.057361e-08
1.297881.5982012.067726e-08
1.304421.5981242.078143e-08
1.310991.5980472.088612e-08
1.31761.5979692.099135e-08
1.324241.5978912.109710e-08
1.330911.5978132.120338e-08
1.337611.5977352.131021e-08
1.344351.5976572.141756e-08
1.351131.5975782.152547e-08
1.357941.5974992.163391e-08
1.364781.597422.174290e-08
1.371651.5973412.185244e-08
1.378561.5972612.196253e-08
1.385511.5971812.207318e-08
1.392491.5971012.218438e-08
1.399511.597022.229614e-08
1.41.5970152.230400e-08
1.406561.5969392.240847e-08
1.413641.5968582.252136e-08
1.420771.5967772.263482e-08
1.427931.5966952.274886e-08
1.435121.5966132.286346e-08
1.442351.5965312.297865e-08
1.449621.5964482.309441e-08
1.456921.5963652.321076e-08
1.464261.5962812.332770e-08
1.471641.5961972.344522e-08
1.479051.5961132.356334e-08
1.486511.5960282.368205e-08
1.4941.5959432.380136e-08
1.501521.5958582.392127e-08
1.509091.5957722.404178e-08
1.516691.5956852.416291e-08
1.524331.5955992.428464e-08
1.532011.5955112.440698e-08
1.539731.5954242.452995e-08
1.547491.5953352.465353e-08
1.555291.5952472.477773e-08
1.563121.5951572.490256e-08
1.5711.5950682.502802e-08
1.578911.5949782.515411e-08
1.586871.5948872.528084e-08
1.594871.5947962.540820e-08
1.61.5947372.549000e-08
1.60291.5947042.931734e-08
1.610981.5946113.997328e-08
1.619091.5945185.068291e-08
1.627251.5944256.144650e-08
1.635451.5943317.226432e-08
1.643691.5942368.313664e-08
1.651971.5941419.406375e-08
1.660291.5940451.050459e-07
1.668661.5939481.160834e-07
1.677071.5938511.271765e-07
1.685521.5937531.383255e-07
1.694011.5936551.495307e-07
1.702541.5935551.607923e-07
1.711121.5934561.721106e-07
1.719741.5933551.834860e-07
1.728411.5932541.949187e-07
1.737121.5931522.064090e-07
1.745871.5930492.179572e-07
1.754671.5929462.295636e-07
1.763511.5928412.412285e-07
1.772391.5927362.529521e-07
1.781321.592632.647348e-07
1.79031.5925242.765769e-07
1.799321.5924172.884786e-07
1.81.5924082.893800e-07
1.808381.5923083.072674e-07
1.817491.5921993.267101e-07
1.826651.5920893.462508e-07
1.835851.5919793.658899e-07
1.84511.5918673.856280e-07
1.85441.5917554.054655e-07
1.863741.5916414.254029e-07
1.873131.5915274.454409e-07
1.882571.5914124.655797e-07
1.892061.5912964.858201e-07
1.901591.5911795.061624e-07
1.911171.591065.266072e-07
1.92081.5909415.471550e-07
1.930481.5908215.678064e-07
1.94021.59075.885618e-07
1.949981.5905786.094217e-07
1.95981.5904556.303868e-07
1.969681.5903316.514575e-07
1.97961.5902066.726344e-07
1.989581.590086.939179e-07
1.99961.5899527.153087e-07
21.5899477.161600e-07
2.009681.5898247.764183e-07
2.01981.5896948.394772e-07
2.029981.5895649.028537e-07
2.040211.5894329.665496e-07
2.050491.5892991.030566e-06
2.060821.5891641.094906e-06
2.07121.5890291.159569e-06
2.081641.5888921.224558e-06
2.092121.5887541.289875e-06
2.102661.5886151.355521e-06
2.113261.5884751.421498e-06
2.123911.5883331.487807e-06
2.134611.588191.554450e-06
2.145361.5880461.621429e-06
2.156171.58791.688745e-06
2.167031.5877531.756400e-06
2.177951.5876041.824397e-06
2.188931.5874541.892736e-06
2.199951.5873031.961419e-06
2.21.5873031.961700e-06
2.211041.587152.054936e-06
2.222181.5869962.149026e-06
2.233381.5868412.243589e-06
2.244631.5866842.338628e-06
2.255941.5865252.434147e-06
2.26731.5863652.530147e-06
2.278731.5862032.626630e-06
2.290211.586042.723600e-06
2.301751.5858752.821058e-06
2.313341.5857082.919007e-06
2.3251.585543.017450e-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
—