Optical constants

Refractive index of D-ZPK1A (CDGM)

D-ZPK1A: 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
1.62087
Extinction coefficient k
1.87414e-08
Permittivity ε1
2.62721
Permittivity ε2
6.07548e-08
Absorption coefficient α
0.00400803 cm⁻¹
Penetration depth δ = λ/(2πk)
4.98998e+09 nm
Abbe number Vd
63.829
Chromatic dispersion dn/dλ
-0.0502372 µm⁻¹
Group index ng
1.65039
Group velocity dispersion
88.4475 fs²/mm
Dispersion parameter D
-482.528 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

# D-ZPK1A (CDGM): D-ZPK1A
cdgm_d_zpk1a = ls.fetch_refractiveindex("specs", "CDGM-optical", "D-ZPK1A", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_d_zpk1a.range_nm)  # (302, 2325) nm
eps = cdgm_d_zpk1a.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=0.723324526λ2λ2−0.00288945758+0.863552452λ2λ2−0.0142439384+0.985077169λ2λ2−116.596916

Valid from 0.302 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.723324526
C30.00288945758
C40.863552452
C50.0142439384
C60.985077169
C7116.596916

Comments and conditions

anneal rate:4°C/h

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -1.27e-05 7.36e-09 -1.75e-13 4.58e-07 2.54e-10 0.183
nd
1.620870
Vd
63.828532
glass code
621638
density
value: 3690
thermal expansion
value: 1.05e-05, temperature range: 243 343; value: 1.28e-05, temperature range: 293 573
dPgF
0.0063

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -5.73e-06 K⁻¹ at 633 nm, dn/dT = -6.11e-06 K⁻¹ at 1310 nm, dn/dT = -6.13e-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
D-ZPK1A (CDGM), D-ZPK1A: n and k versus wavelength
λ (µm)nk
0.3021.6642118.085120e-06
0.3035491.6635567.863501e-06
0.3051061.6629097.640745e-06
0.306671.6622717.416846e-06
0.3082431.6616417.191799e-06
0.3098241.6610196.965598e-06
0.311.660956.940400e-06
0.3114131.6604056.619150e-06
0.313011.6597996.256004e-06
0.3146151.6592015.890997e-06
0.3162291.658615.524117e-06
0.317851.6580275.155356e-06
0.3194811.6574514.784704e-06
0.321.657274.666600e-06
0.3211191.6568834.488559e-06
0.3227661.6563224.226543e-06
0.3244211.6557683.963183e-06
0.3260851.6552213.698473e-06
0.3277571.654683.432405e-06
0.3294381.6541473.164972e-06
0.331.6539713.075600e-06
0.3311281.653622.922457e-06
0.3328261.65312.691859e-06
0.3345331.6525862.460079e-06
0.3362491.6520792.227110e-06
0.3379731.6515781.992946e-06
0.3397061.6510831.757581e-06
0.341.6511.717700e-06
0.3414481.6505941.607066e-06
0.34321.6501111.473317e-06
0.344961.6496341.338881e-06
0.3467291.6491631.203757e-06
0.3485071.6486981.067940e-06
0.351.6483149.539100e-07
0.3502941.6482389.406332e-07
0.3520911.6477848.596097e-07
0.3538971.6473367.781706e-07
0.3557121.6468936.963140e-07
0.3575361.6464556.140375e-07
0.3593691.6460225.313390e-07
0.361.6458755.029000e-07
0.3612121.6455954.736371e-07
0.3630651.6451734.289274e-07
0.3649271.6447553.839884e-07
0.3667981.6443433.388189e-07
0.368681.6439362.934178e-07
0.371.6436542.615500e-07
0.370571.6435332.545731e-07
0.3724711.6431362.313265e-07
0.3743811.6427432.079606e-07
0.3763011.6423541.844750e-07
0.3782311.641971.608688e-07
0.381.6416241.392300e-07
0.3801711.6415911.383032e-07
0.382121.6412161.277196e-07
0.384081.6408461.170817e-07
0.386051.6404791.063893e-07
0.388031.6401189.564198e-08
0.391.6397638.494700e-08
0.390021.639768.488690e-08
0.392021.6394067.881242e-08
0.394031.6390577.270680e-08
0.3960511.6387116.656985e-08
0.3980821.638376.040144e-08
0.41.6380535.457800e-08
0.4001241.6380325.446881e-08
0.4021761.6376995.266198e-08
0.4042391.6373695.084590e-08
0.4063121.6370434.902049e-08
0.4083961.636724.718573e-08
0.410491.6364024.534155e-08
0.4125951.6360874.348792e-08
0.4147111.6357754.162478e-08
0.4168381.6354673.975209e-08
0.4189761.6351633.786979e-08
0.421.6350183.696800e-08
0.4211251.6348613.686803e-08
0.4232841.6345643.667603e-08
0.4254551.6342693.648304e-08
0.4276371.6339783.628907e-08
0.429831.633693.609409e-08
0.4320351.6334063.589812e-08
0.434251.6331243.570115e-08
0.4364771.6328463.550316e-08
0.4387161.6325713.530416e-08
0.441.6324153.519000e-08
0.4409661.6322993.473241e-08
0.4432271.6320293.366091e-08
0.44551.6317633.258392e-08
0.4477851.63153.150140e-08
0.4500821.6312393.041333e-08
0.452391.6309822.931968e-08
0.454711.6307272.822042e-08
0.4570421.6304752.711553e-08
0.4593861.6302262.600496e-08
0.461.6301612.571400e-08
0.4617421.6299792.547650e-08
0.464111.6297362.515361e-08
0.466491.6294942.482907e-08
0.4688831.6292562.450287e-08
0.4712871.629022.417499e-08
0.4737041.6287862.384544e-08
0.4761341.6285552.351419e-08
0.4785751.6283262.318124e-08
0.481.6281952.298700e-08
0.481031.62812.283031e-08
0.4834971.6278772.245496e-08
0.4859761.6276552.207769e-08
0.4884691.6274362.169848e-08
0.4909741.627222.131733e-08
0.4934921.6270052.093422e-08
0.4960231.6267932.054914e-08
0.4985671.6265832.016210e-08
0.51.6264661.994400e-08
0.5011231.6263751.989003e-08
0.5036931.626171.976656e-08
0.5062771.6259661.964247e-08
0.5088731.6257651.951773e-08
0.5114831.6255661.939236e-08
0.5141061.6253691.926634e-08
0.5167431.6251741.913968e-08
0.5193931.624981.901237e-08
0.5220561.6247891.888441e-08
0.5247341.62461.875578e-08
0.5274251.6244131.862650e-08
0.530131.6242281.849656e-08
0.5328491.6240441.836595e-08
0.5355811.6238631.823467e-08
0.5383281.6236831.810272e-08
0.5410891.6235051.797009e-08
0.5438641.6233291.783678e-08
0.5466531.6231541.770278e-08
0.5494571.6229821.756810e-08
0.551.6229491.754200e-08
0.5522751.6228111.761456e-08
0.5551071.6226421.770491e-08
0.5579541.6224741.779573e-08
0.5608151.6223081.788701e-08
0.5636911.6221441.797876e-08
0.5665821.6219811.807098e-08
0.5694881.621821.816367e-08
0.5724091.6216611.825684e-08
0.5753441.6215031.835048e-08
0.5782951.6213461.844461e-08
0.5812611.6211921.853922e-08
0.5842421.6210381.863431e-08
0.5872381.6208861.872989e-08
0.590251.6207361.882596e-08
0.5932771.6205871.892253e-08
0.5963191.6204391.901959e-08
0.5993781.6202931.911715e-08
0.61.6202641.913700e-08
0.6024521.6201481.946997e-08
0.6055411.6200051.988961e-08
0.6086471.6198632.031140e-08
0.6117681.6197222.073536e-08
0.6149061.6195822.116149e-08
0.6180591.6194442.158981e-08
0.6212291.6193072.202032e-08
0.6244151.6191722.245304e-08
0.6276171.6190372.288798e-08
0.6308361.6189042.332515e-08
0.6340711.6187722.376456e-08
0.6373231.6186412.420623e-08
0.6405921.6185122.465016e-08
0.6438771.6183832.509636e-08
0.6471791.6182562.554486e-08
0.651.6181482.592800e-08
0.6504981.618132.583643e-08
0.6538341.6180052.522312e-08
0.6571871.6178812.460667e-08
0.6605581.6177582.398705e-08
0.6639451.6176362.336426e-08
0.6673511.6175152.273828e-08
0.6707731.6173952.210908e-08
0.6742131.6172772.147666e-08
0.6776711.6171592.084099e-08
0.6811461.6170422.020207e-08
0.684641.6169271.955986e-08
0.6881511.6168121.891437e-08
0.691681.6166981.826556e-08
0.6952271.6165851.761343e-08
0.6987931.6164731.695795e-08
0.71.6164361.673600e-08
0.7023761.6163621.679282e-08
0.7059791.6162521.687895e-08
0.7095991.6161431.696552e-08
0.7132381.6160351.705253e-08
0.7168961.6159271.713999e-08
0.7205731.6158211.722790e-08
0.7242681.6157151.731626e-08
0.7279831.615611.740507e-08
0.7317161.6155061.749434e-08
0.7354691.6154031.758406e-08
0.7392411.61531.767425e-08
0.7430321.6151981.776489e-08
0.7468431.6150971.785601e-08
0.7506731.6149971.794759e-08
0.7545231.6148971.803964e-08
0.7583921.6147991.813216e-08
0.7622821.6147011.822515e-08
0.7661911.6146031.831863e-08
0.770121.6145071.841258e-08
0.774071.6144111.850701e-08
0.778041.6143151.860193e-08
0.782031.6142211.869734e-08
0.7860411.6141271.879323e-08
0.7900721.6140341.888962e-08
0.7941241.6139411.898650e-08
0.7981961.6138491.908388e-08
0.81.6138081.912700e-08
0.802291.6137571.887120e-08
0.8064051.6136661.841161e-08
0.810541.6135761.794965e-08
0.8146971.6134861.748533e-08
0.8188751.6133971.701863e-08
0.8230751.6133091.654953e-08
0.8272961.6132211.607803e-08
0.8315391.6131331.560411e-08
0.8358031.6130461.512776e-08
0.840091.612961.464896e-08
0.8443981.6128741.416771e-08
0.8487291.6127881.368399e-08
0.851.6127641.354200e-08
0.8530821.6127041.359106e-08
0.8574571.6126191.366071e-08
0.8618541.6125351.373072e-08
0.8662741.6124521.380108e-08
0.8707171.6123681.387181e-08
0.8751821.6122861.394290e-08
0.8796711.6122041.401436e-08
0.8841821.6121221.408618e-08
0.8887171.612041.415837e-08
0.8932741.6119591.423093e-08
0.8978561.6118791.430386e-08
0.91.6118411.433800e-08
0.902461.6117991.437722e-08
0.9070881.6117191.445099e-08
0.9117411.6116391.452514e-08
0.9164161.611561.459968e-08
0.9211161.6114821.467459e-08
0.925841.6114031.474989e-08
0.9305881.6113251.482558e-08
0.9353611.6112471.490165e-08
0.9401581.611171.497812e-08
0.944981.6110931.505497e-08
0.9498261.6110161.513222e-08
0.951.6110131.513500e-08
0.9546971.6109391.520978e-08
0.9595931.6108631.528772e-08
0.9645151.6107871.536607e-08
0.9694611.6107121.544482e-08
0.9744331.6106361.552397e-08
0.979431.6105611.560353e-08
0.9844531.6104861.568350e-08
0.9895021.6104111.576387e-08
0.9945771.6103371.584466e-08
0.9996781.6102621.592587e-08
11.6102581.593100e-08
1.00481.6101881.600755e-08
1.009961.6101141.608966e-08
1.015141.6100411.617219e-08
1.020341.6099671.625514e-08
1.025581.6098941.633851e-08
1.030841.609821.642232e-08
1.036121.6097471.650655e-08
1.041441.6096741.659122e-08
1.046781.6096021.667632e-08
1.052151.6095291.676185e-08
1.057541.6094571.684783e-08
1.061.6094241.688700e-08
1.062971.6093841.693425e-08
1.068421.6093121.702113e-08
1.07391.609241.710844e-08
1.07941.6091681.719621e-08
1.084941.6090961.728443e-08
1.09051.6090241.737309e-08
1.09611.6089521.746222e-08
1.101721.608881.755180e-08
1.107371.6088081.764184e-08
1.113051.6087361.773234e-08
1.118761.6086651.782330e-08
1.124491.6085931.791474e-08
1.130261.6085211.800664e-08
1.136061.608451.809901e-08
1.141881.6083781.819185e-08
1.147741.6083071.828518e-08
1.153621.6082351.837898e-08
1.159541.6081631.847326e-08
1.165491.6080921.856802e-08
1.171471.608021.866328e-08
1.177471.6079481.875902e-08
1.183511.6078761.885525e-08
1.189581.6078041.895197e-08
1.195681.6077321.904919e-08
1.21.6076821.911800e-08
1.201811.607661.914690e-08
1.207981.6075881.924509e-08
1.214171.6075161.934377e-08
1.22041.6074441.944297e-08
1.226661.6073711.954267e-08
1.232951.6072991.964289e-08
1.239271.6072261.974361e-08
1.245631.6071531.984486e-08
1.252021.607081.994662e-08
1.258441.6070072.004891e-08
1.264891.6069342.015172e-08
1.271381.6068612.025506e-08
1.27791.6067872.035893e-08
1.284451.6067132.046333e-08
1.291041.6066392.056826e-08
1.297661.6065652.067374e-08
1.304321.6064912.077975e-08
1.311011.6064162.088631e-08
1.317731.6063422.099342e-08
1.324491.6062662.110107e-08
1.331281.6061912.120928e-08
1.338111.6061162.131804e-08
1.344971.606042.142736e-08
1.351871.6059642.153724e-08
1.35881.6058882.164769e-08
1.365771.6058112.175870e-08
1.372771.6057342.187028e-08
1.379811.6056572.198243e-08
1.386891.6055792.209515e-08
1.3941.6055012.220846e-08
1.41.6054362.230400e-08
1.401151.6054232.254308e-08
1.408341.6053452.403478e-08
1.415561.6052662.553414e-08
1.422821.6051872.704118e-08
1.430121.6051072.855596e-08
1.437451.6050273.007850e-08
1.444821.6049473.160885e-08
1.452231.6048663.314705e-08
1.459681.6047853.469314e-08
1.467171.6047033.624716e-08
1.474691.6046223.780915e-08
1.482251.6045393.937914e-08
1.489861.6044564.095720e-08
1.49751.6043734.254334e-08
1.505181.6042894.413762e-08
1.51291.6042054.574007e-08
1.520651.604124.735074e-08
1.528451.6040354.896967e-08
1.536291.603955.059691e-08
1.544171.6038645.223249e-08
1.552091.6037775.387646e-08
1.560051.603695.552886e-08
1.568051.6036025.718973e-08
1.576091.6035145.885912e-08
1.584181.6034256.053708e-08
1.59231.6033356.222364e-08
1.61.603256.382200e-08
1.600471.6032456.417811e-08
1.608671.6031557.044362e-08
1.616921.6030647.674126e-08
1.625221.6029728.307120e-08
1.633551.6028798.943360e-08
1.641931.6027869.582863e-08
1.650351.6026931.022565e-07
1.658811.6025981.087173e-07
1.667321.6025031.152112e-07
1.675871.6024081.217384e-07
1.684471.6023111.282991e-07
1.693111.6022141.348935e-07
1.701791.6021161.415216e-07
1.710521.6020181.481838e-07
1.719291.6019191.548801e-07
1.728111.6018191.616108e-07
1.736971.6017181.683760e-07
1.745881.6016161.751759e-07
1.754831.6015141.820107e-07
1.763831.6014111.888805e-07
1.772881.6013071.957855e-07
1.781971.6012022.027260e-07
1.791111.6010962.097020e-07
1.81.6009932.164900e-07
1.800291.600992.168353e-07
1.809531.6008832.277070e-07
1.818811.6007752.386344e-07
1.828131.6006662.496178e-07
1.837511.6005562.606576e-07
1.846931.6004452.717540e-07
1.856411.6003332.829073e-07
1.865931.600222.941179e-07
1.87551.6001063.053859e-07
1.885111.5999923.167117e-07
1.894781.5998763.280955e-07
1.90451.5997593.395378e-07
1.914271.5996423.510387e-07
1.924081.5995233.625987e-07
1.933951.5994033.742179e-07
1.943871.5992833.858967e-07
1.953841.5991613.976354e-07
1.963861.5990384.094342e-07
1.973931.5989144.212937e-07
1.984051.5987894.332139e-07
1.994231.5986624.451952e-07
21.598594.519900e-07
2.004461.5985354.652273e-07
2.014741.5984064.957591e-07
2.025071.5982765.264475e-07
2.035461.5981455.572932e-07
2.045891.5980135.882972e-07
2.056391.597886.194601e-07
2.066931.5977456.507829e-07
2.077531.5976096.822663e-07
2.088191.5974717.139112e-07
2.09891.5973337.457183e-07
2.109661.5971937.776886e-07
2.120481.5970528.098228e-07
2.131361.5969098.421219e-07
2.142291.5967658.745866e-07
2.153271.596629.072178e-07
2.164321.5964739.400163e-07
2.175421.5963259.729830e-07
2.186571.5961751.006119e-06
2.197791.5960241.039425e-06
2.21.5959941.046000e-06
2.209061.5958711.077352e-06
2.220391.5957171.116568e-06
2.231771.5955611.155986e-06
2.243221.5954041.195605e-06
2.254721.5952451.235427e-06
2.266291.5950841.275454e-06
2.277911.5949221.315686e-06
2.289591.5947581.356124e-06
2.301331.5945931.396770e-06
2.313141.5944261.437624e-06
2.3251.5942571.478687e-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
—