Optical constants

Refractive index of ZF7 (CDGM)

ZF7: n,k 0.365–1.014 µm

Data
formula 3 + tabulated k
Range
0.365–1.014 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.365–1.014 µm
Refractive index n
1.80627
Extinction coefficient k
2.45299e-08
Permittivity ε1
3.26262
Permittivity ε2
8.86154e-08
Absorption coefficient α
0.00524595 cm⁻¹
Penetration depth δ = λ/(2πk)
3.81246e+09 nm
Abbe number Vd
25.38
Chromatic dispersion dn/dλ
-0.159168 µm⁻¹
Group index ng
1.8998
Group velocity dispersion
329.287 fs²/mm
Dispersion parameter D
-1796.44 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

# ZF7 (CDGM): ZF7
cdgm_zf7 = ls.fetch_refractiveindex("specs", "CDGM-optical", "ZF7", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_zf7.range_nm)  # (365, 1014) nm
eps = cdgm_zf7.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

Polynomial (formula 3), λ in µm
n2=3.1221966−0.010649791⁢λ2.0+0.042191871⁢λ−2.0+0.002893766⁢λ−4.0−0.00016523594⁢λ−6.0+2.329181×10-5⁢λ−8.0

Valid from 0.365 to 1.014 µm.

Coefficients as stored
CiValue
C13.1221966
C2-0.010649791
C32.0
C40.042191871
C5-2.0
C60.002893766
C7-4.0
C8-0.00016523594
C9-6.0
C102.329181e-05
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

nd
1.806277
Vd
25.380144
glass code
806254
density
value: 5190
thermal expansion
value: 7.9e-06, temperature range: 243 343; value: 9e-06, temperature range: 293 573
dPgF
0.0073
resistance
climatic: 1.0

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 418 wavelengths, the same grid as the API and the library
ZF7 (CDGM), ZF7: n and k versus wavelength
λ (µm)nk
0.3651.8985714.912850e-06
0.3659361.8975914.541217e-06
0.3668741.896624.168631e-06
0.3678151.895663.795090e-06
0.3687581.8947093.420591e-06
0.3697041.8937683.045131e-06
0.371.8934752.927400e-06
0.3706511.8928362.834064e-06
0.3716021.8919132.697903e-06
0.3725551.8909992.561393e-06
0.373511.8900942.424532e-06
0.3744681.8891982.287321e-06
0.3754281.888312.149758e-06
0.376391.8874312.011842e-06
0.3773561.8865611.873573e-06
0.3783231.8856991.734948e-06
0.3792931.8848451.595969e-06
0.381.8842291.494700e-06
0.3802661.8839991.478708e-06
0.3812411.8831611.420024e-06
0.3822181.8823321.361189e-06
0.3831981.881511.302203e-06
0.3841811.8806951.243066e-06
0.3851661.8798891.183778e-06
0.3861541.8790891.124337e-06
0.3871441.8782971.064744e-06
0.3881361.8775131.004999e-06
0.3891321.8767369.450995e-07
0.391.8760658.928300e-07
0.3901291.8759658.885102e-07
0.391131.8752028.550944e-07
0.3921331.8744468.215929e-07
0.3931381.8736967.880054e-07
0.3941461.8729537.543319e-07
0.3951571.8722177.205720e-07
0.396171.8714886.867255e-07
0.3971861.8707656.527922e-07
0.3982041.8700486.187720e-07
0.3992251.8693385.846645e-07
0.41.8688045.587800e-07
0.4002491.8686345.549808e-07
0.4012751.8679365.393081e-07
0.4023041.8672445.235952e-07
0.4033351.8665585.078420e-07
0.404371.8658794.920484e-07
0.4054071.8652054.762143e-07
0.4064461.8645374.603396e-07
0.4074881.8638744.444242e-07
0.4085331.8632174.284680e-07
0.4095811.8625664.124709e-07
0.4106311.8619213.964328e-07
0.4116841.8612813.803536e-07
0.4127391.8606463.642331e-07
0.4137981.8600163.480713e-07
0.4148591.8593923.318680e-07
0.4159221.8587733.156232e-07
0.4169891.8581592.993368e-07
0.4180581.8575512.830086e-07
0.419131.8569472.666385e-07
0.421.8564622.533500e-07
0.4202051.8563482.521835e-07
0.4212821.8557542.460389e-07
0.4223621.8551652.398785e-07
0.4234451.8545812.337023e-07
0.4245311.8540022.275103e-07
0.4256191.8534272.213024e-07
0.4267111.8528572.150785e-07
0.4278051.8522912.088388e-07
0.4289021.851732.025830e-07
0.4300021.8511731.963112e-07
0.4311041.8506211.900233e-07
0.4322091.8500741.837192e-07
0.4333181.849531.773990e-07
0.4344291.8489911.710626e-07
0.4355431.8484561.647100e-07
0.4366591.8479251.583411e-07
0.4377791.8473991.519558e-07
0.4389021.8468761.455542e-07
0.441.846371.392900e-07
0.4400271.8463581.392220e-07
0.4411551.8458431.363808e-07
0.4422861.8453331.335322e-07
0.443421.8448261.306764e-07
0.4445571.8443241.278132e-07
0.4456971.8438251.249427e-07
0.446841.843331.220648e-07
0.4479861.8428391.191796e-07
0.4491351.8423511.162869e-07
0.4502861.8418671.133869e-07
0.4514411.8413871.104794e-07
0.4525981.8409111.075644e-07
0.4537591.8404381.046420e-07
0.4549221.8399681.017121e-07
0.4560891.8395029.877463e-08
0.4572581.839049.582966e-08
0.4584311.8385819.287714e-08
0.4596061.8381258.991705e-08
0.461.8379738.892500e-08
0.4607851.8376728.785354e-08
0.4619661.8372238.623991e-08
0.4631511.8367788.462216e-08
0.4643381.8363358.300025e-08
0.4655291.8358968.137418e-08
0.4667221.835467.974395e-08
0.4679191.8350277.810953e-08
0.4691191.8345977.647093e-08
0.4703221.8341717.482812e-08
0.4715281.8337477.318110e-08
0.4727371.8333267.152986e-08
0.4739491.8329096.987438e-08
0.4751641.8324946.821466e-08
0.4763821.8320836.655068e-08
0.4776041.8316746.488244e-08
0.4788291.8312686.320992e-08
0.481.8308846.161000e-08
0.4800561.8308656.154914e-08
0.4812871.8304656.021847e-08
0.4825211.8300685.888438e-08
0.4837581.8296745.754688e-08
0.4849991.8292825.620595e-08
0.4862421.8288935.486158e-08
0.4874891.8285075.351376e-08
0.4887391.8281235.216248e-08
0.4899921.8277425.080775e-08
0.4912491.8273644.944953e-08
0.4925081.8269884.808784e-08
0.4937711.8266154.672265e-08
0.4950371.8262454.535397e-08
0.4963071.8258774.398177e-08
0.4975791.8255124.260606e-08
0.4988551.8251494.122681e-08
0.51.8248263.998900e-08
0.5001341.8247883.995239e-08
0.5014161.824433.960233e-08
0.5027021.8240753.925136e-08
0.5039911.8237223.889950e-08
0.5052831.8233713.854674e-08
0.5065791.8230223.819307e-08
0.5078781.8226763.783849e-08
0.509181.8223333.748300e-08
0.5104861.8219913.712660e-08
0.5117951.8216523.676929e-08
0.5131071.8213153.641107e-08
0.5144231.8209813.605192e-08
0.5157421.8206483.569185e-08
0.5170641.8203183.533086e-08
0.518391.819993.496895e-08
0.5197191.8196643.460610e-08
0.5210521.8193413.424233e-08
0.5223881.8190193.387762e-08
0.5237271.81873.351198e-08
0.525071.8183823.314540e-08
0.5264161.8180673.277788e-08
0.5277661.8177543.240942e-08
0.5291191.8174433.204001e-08
0.5304761.8171343.166966e-08
0.5318361.8168273.129835e-08
0.53321.8165213.092610e-08
0.5345671.8162183.055289e-08
0.5359381.8159173.017872e-08
0.5373121.8156182.980359e-08
0.538691.8153212.942751e-08
0.5400711.8150252.905045e-08
0.5414561.8147322.867243e-08
0.5428441.814442.829344e-08
0.5442361.814152.791348e-08
0.5456311.8138632.753255e-08
0.547031.8135772.715064e-08
0.5484331.8132922.676775e-08
0.5498391.813012.638387e-08
0.551.8129782.634000e-08
0.5512491.8127292.627987e-08
0.5526631.812452.621182e-08
0.554081.8121732.614361e-08
0.55551.8118982.607521e-08
0.5569251.8116242.600665e-08
0.5583531.8113522.593790e-08
0.5597841.8110822.586898e-08
0.561221.8108142.579988e-08
0.5626591.8105472.573061e-08
0.5641011.8102822.566116e-08
0.5655481.8100182.559153e-08
0.5669981.8097572.552172e-08
0.5684521.8094962.545173e-08
0.5699091.8092382.538157e-08
0.5713711.8089812.531122e-08
0.5728361.8087252.524069e-08
0.5743041.8084722.516998e-08
0.5757771.8082192.509909e-08
0.5772531.8079692.502802e-08
0.5787331.807722.495677e-08
0.5802171.8074722.488533e-08
0.5817051.8072262.481371e-08
0.5831971.8069812.474191e-08
0.5846921.8067382.466992e-08
0.5861911.8064962.459775e-08
0.5876941.8062562.452540e-08
0.5892011.8060182.445285e-08
0.5907121.805782.438013e-08
0.5922271.8055452.430721e-08
0.5937451.805312.423411e-08
0.5952681.8050772.416082e-08
0.5967941.8048462.408734e-08
0.5983241.8046162.401368e-08
0.5998581.8043872.393982e-08
0.61.8043662.393300e-08
0.6013961.8041592.398871e-08
0.6029381.8039332.405024e-08
0.6044841.8037092.411193e-08
0.6060341.8034852.417377e-08
0.6075881.8032632.423577e-08
0.6091461.8030432.429793e-08
0.6107081.8028232.436025e-08
0.6122741.8026052.442273e-08
0.6138441.8023892.448537e-08
0.6154181.8021732.454817e-08
0.6169961.8019592.461113e-08
0.6185781.8017462.467425e-08
0.6201641.8015342.473754e-08
0.6217541.8013242.480099e-08
0.6233481.8011152.486460e-08
0.6249471.8009072.492837e-08
0.6265491.80072.499231e-08
0.6281561.8004952.505641e-08
0.6297661.800292.512067e-08
0.6313811.8000872.518510e-08
0.6331.7998852.524970e-08
0.6346231.7996842.531446e-08
0.636251.7994852.537938e-08
0.6378821.7992862.544447e-08
0.6395171.7990892.550973e-08
0.6411571.7988932.557516e-08
0.6428011.7986982.564076e-08
0.6444491.7985042.570652e-08
0.6461021.7983112.577245e-08
0.6477581.798122.583855e-08
0.6494191.7979292.590482e-08
0.651.7978632.592800e-08
0.6510841.797742.584989e-08
0.6527541.7975512.572962e-08
0.6544271.7973642.560905e-08
0.6561051.7971782.548816e-08
0.6577881.7969922.536697e-08
0.6594741.7968082.524547e-08
0.6611651.7966252.512365e-08
0.6628611.7964432.500152e-08
0.664561.7962622.487908e-08
0.6662641.7960822.475633e-08
0.6679731.7959032.463326e-08
0.6696851.7957252.450987e-08
0.6714021.7955482.438617e-08
0.6731241.7953722.426215e-08
0.674851.7951972.413781e-08
0.676581.7950232.401316e-08
0.6783151.794852.388818e-08
0.6800541.7946782.376288e-08
0.6817981.7945072.363727e-08
0.6835461.7943372.351133e-08
0.6852991.7941682.338506e-08
0.6870561.7942.325848e-08
0.6888181.7938322.313157e-08
0.6905841.7936662.300433e-08
0.6923551.7935012.287677e-08
0.694131.7933362.274888e-08
0.695911.7931722.262066e-08
0.6976941.793012.249212e-08
0.6994831.7928482.236324e-08
0.71.7928012.232600e-08
0.7012771.7926872.228516e-08
0.7030751.7925272.222764e-08
0.7048771.7923672.216997e-08
0.7066851.7922092.211215e-08
0.7084971.7920522.205419e-08
0.7103131.7918952.199607e-08
0.7121351.7917392.193781e-08
0.7139611.7915842.187939e-08
0.7157911.791432.182083e-08
0.7176271.7912772.176212e-08
0.7194671.7911242.170326e-08
0.7213121.7909732.164424e-08
0.7231611.7908222.158508e-08
0.7250151.7906722.152576e-08
0.7268741.7905232.146629e-08
0.7287381.7903742.140667e-08
0.7306071.7902272.134689e-08
0.732481.790082.128696e-08
0.7343581.7899342.122688e-08
0.7362411.7897882.116665e-08
0.7381291.7896442.110626e-08
0.7400221.78952.104571e-08
0.7419191.7893572.098501e-08
0.7438211.7892152.092415e-08
0.7457291.7890732.086314e-08
0.7476411.7889332.080197e-08
0.7495581.7887932.074065e-08
0.751481.7886532.067917e-08
0.7534061.7885152.061753e-08
0.7553381.7883772.055573e-08
0.7572751.788242.049377e-08
0.7592171.7881032.043166e-08
0.7611631.7879682.036938e-08
0.7631151.7878332.030695e-08
0.7650721.7876982.024435e-08
0.7670341.7875652.018160e-08
0.7691.7874322.011868e-08
0.7709721.7872992.005560e-08
0.7729491.7871681.999236e-08
0.7749311.7870371.992896e-08
0.7769181.7869071.986540e-08
0.778911.7867771.980167e-08
0.7809071.7866481.973778e-08
0.7829091.786521.967373e-08
0.7849171.7863921.960951e-08
0.7869291.7862651.954513e-08
0.7889471.7861391.948058e-08
0.790971.7860131.941587e-08
0.7929981.7858881.935099e-08
0.7950321.7857631.928594e-08
0.797071.785641.922073e-08
0.7991141.7855161.915535e-08
0.81.7854631.912700e-08
0.8011631.7853941.899711e-08
0.8032171.7852721.876765e-08
0.8052771.785151.853760e-08
0.8073411.7850291.830697e-08
0.8094111.7849091.807574e-08
0.8114871.784791.784391e-08
0.8135681.784671.761150e-08
0.8156541.7845521.737849e-08
0.8177451.7844341.714488e-08
0.8198421.7843171.691067e-08
0.8219441.78421.667586e-08
0.8240521.7840841.644045e-08
0.8261641.7839681.620443e-08
0.8282831.7838531.596781e-08
0.8304071.7837381.573058e-08
0.8325361.7836241.549275e-08
0.8346711.7835111.525430e-08
0.8368111.7833981.501525e-08
0.8389561.7832861.477558e-08
0.8411081.7831741.453529e-08
0.8432641.7830621.429439e-08
0.8454261.7829521.405287e-08
0.8475941.7828411.381074e-08
0.8497671.7827321.356798e-08
0.851.782721.354200e-08
0.8519461.7826221.357299e-08
0.8541311.7825141.360776e-08
0.8563211.7824051.364263e-08
0.8585171.7822981.367758e-08
0.8607181.782191.371263e-08
0.8629251.7820831.374776e-08
0.8651371.7819771.378299e-08
0.8673561.7818711.381830e-08
0.869581.7817661.385371e-08
0.8718091.7816611.388920e-08
0.8740451.7815571.392479e-08
0.8762861.7814531.396047e-08
0.8785331.781351.399624e-08
0.8807851.7812471.403210e-08
0.8830441.7811441.406806e-08
0.8853081.7810421.410410e-08
0.8875781.780941.414024e-08
0.8898541.7808391.417647e-08
0.8921351.7807391.421280e-08
0.8944231.7806381.424921e-08
0.8967161.7805391.428572e-08
0.8990161.7804391.432233e-08
0.91.7803971.433800e-08
0.9013211.780341.435905e-08
0.9036321.7802421.439589e-08
0.9059491.7801441.443282e-08
0.9082721.7800461.446985e-08
0.9106011.7799491.450697e-08
0.9129351.7798521.454419e-08
0.9152761.7797551.458150e-08
0.9176231.7796591.461891e-08
0.9199761.7795641.465642e-08
0.9223351.7794681.469402e-08
0.92471.7793741.473172e-08
0.9270711.7792791.476951e-08
0.9294481.7791851.480740e-08
0.9318311.7790921.484539e-08
0.934221.7789981.488347e-08
0.9366161.7789051.492166e-08
0.9390171.7788131.495994e-08
0.9414251.7787211.499832e-08
0.9438391.7786291.503679e-08
0.9462591.7785381.507537e-08
0.9486851.7784471.511405e-08
0.951.7783981.513500e-08
0.9511181.7783561.515280e-08
0.9535571.7782661.519162e-08
0.9560021.7781761.523055e-08
0.9584531.7780861.526957e-08
0.9609111.7779971.530870e-08
0.9633741.7779081.534792e-08
0.9658451.777821.538725e-08
0.9683211.7777321.542667e-08
0.9708041.7776441.546620e-08
0.9732931.7775561.550583e-08
0.9757891.7774691.554556e-08
0.9782911.7773821.558539e-08
0.9807991.7772961.562532e-08
0.9833141.777211.566536e-08
0.9858351.7771241.570550e-08
0.9883631.7770381.574574e-08
0.9908971.7769531.578609e-08
0.9934381.7768681.582653e-08
0.9959851.7767841.586709e-08
0.9985391.7766991.590774e-08
11.7766511.593100e-08
1.00111.7766151.594852e-08
1.003671.7765321.598942e-08
1.006241.7764491.603042e-08
1.008821.7763651.607153e-08
1.011411.7762831.611275e-08
1.0141.77621.615407e-08

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
—