Optical constants

Refractive index of D-LAF050 (CDGM)

D-LAF050: 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
1.76842
Extinction coefficient k
1.87414e-08
Permittivity ε1
3.1273
Permittivity ε2
6.62854e-08
Absorption coefficient α
0.00400803 cm⁻¹
Penetration depth δ = λ/(2πk)
4.98998e+09 nm
Abbe number Vd
49.282
Chromatic dispersion dn/dλ
-0.0801915 µm⁻¹
Group index ng
1.81554
Group velocity dispersion
144.301 fs²/mm
Dispersion parameter D
-787.237 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-LAF050 (CDGM): D-LAF050
cdgm_d_laf050 = ls.fetch_refractiveindex("specs", "CDGM-optical", "D-LAF050", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_d_laf050.range_nm)  # (302, 2325) nm
eps = cdgm_d_laf050.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=0.653249512λ2λ2−0.023644288+1.20557745λ2λ2−85.5377962+1.40453781λ2λ2−0.006364015

Valid from 0.302 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.653249512
C30.023644288
C41.20557745
C585.5377962
C61.40453781
C70.006364015

Comments and conditions

anneal rate:4°C/h

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 4.01e-06 1.55e-08 -3.41e-11 5.74e-07 4.46e-10 0.215
nd
1.768420
Vd
49.282160
glass code
768493
density
value: 4510
thermal expansion
value: 5.7e-06, temperature range: 243 343; value: 7.4e-06, temperature range: 293 573
dPgF
-0.0094
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 3.37e-06 K⁻¹ at 633 nm, dn/dT = 2.55e-06 K⁻¹ at 1310 nm, dn/dT = 2.48e-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-LAF050 (CDGM), D-LAF050: n and k versus wavelength
λ (µm)nk
0.3021.8413254.225100e-06
0.3035491.8401594.109017e-06
0.3051061.8390093.992338e-06
0.306671.8378773.875061e-06
0.3082431.8367623.757182e-06
0.3098241.8356633.638699e-06
0.311.8355423.625500e-06
0.3114131.834583.425386e-06
0.313011.8335133.199175e-06
0.3146151.8324622.971804e-06
0.3162291.8314252.743266e-06
0.317851.8304042.513557e-06
0.3194811.8293982.282669e-06
0.321.8290812.209100e-06
0.3211191.8284062.132277e-06
0.3227661.8274272.019220e-06
0.3244211.8264631.905583e-06
0.3260851.8255131.791363e-06
0.3277571.8245761.676558e-06
0.3294381.8236521.561163e-06
0.331.8233471.522600e-06
0.3311281.822741.464113e-06
0.3328261.8218421.376044e-06
0.3345331.8209561.287524e-06
0.3362491.8200821.198550e-06
0.3379731.819221.109120e-06
0.3397061.818371.019231e-06
0.341.8182281.004000e-06
0.3414481.8175319.536707e-07
0.34321.8167048.928261e-07
0.344961.8158888.316695e-07
0.3467291.8150847.701993e-07
0.3485071.8142897.084138e-07
0.351.8136346.565400e-07
0.3502941.8135066.499323e-07
0.3520911.8127336.096083e-07
0.3538971.811975.690775e-07
0.3557121.8112175.283388e-07
0.3575361.8104754.873912e-07
0.3593691.8097424.462336e-07
0.361.8094934.320800e-07
0.3612121.8090184.129679e-07
0.3630651.8083043.837672e-07
0.3649271.80763.544167e-07
0.3667981.8069043.249157e-07
0.368681.8062182.952634e-07
0.371.8057432.744500e-07
0.370571.805542.691015e-07
0.3724711.8048712.512808e-07
0.3743811.8042112.333686e-07
0.3763011.8035592.153646e-07
0.3782311.8029151.972682e-07
0.381.8023351.806800e-07
0.3801711.802281.798136e-07
0.382121.8016521.699188e-07
0.384081.8010331.599732e-07
0.386051.8004211.499767e-07
0.388031.7998171.399289e-07
0.391.7992261.299300e-07
0.390021.799221.298712e-07
0.392021.7986311.239326e-07
0.394031.7980491.179635e-07
0.3960511.7974751.119637e-07
0.3980821.7969071.059332e-07
0.41.796381.002400e-07
0.4001241.7963471.000583e-07
0.4021761.7957939.705154e-08
0.4042391.7952469.402936e-08
0.4063121.7947069.099169e-08
0.4083961.7941728.793844e-08
0.410491.7936458.486952e-08
0.4125951.7931248.178487e-08
0.4147111.792617.868440e-08
0.4168381.7921027.556803e-08
0.4189761.7915997.243568e-08
0.421.7913627.093500e-08
0.4211251.7911037.012201e-08
0.4232841.7906136.856062e-08
0.4254551.7901296.699123e-08
0.4276371.789656.541379e-08
0.429831.7891776.382825e-08
0.4320351.788716.223459e-08
0.434251.7882486.063275e-08
0.4364771.7877915.902270e-08
0.4387161.787345.740439e-08
0.441.7870855.647600e-08
0.4409661.7868945.606182e-08
0.4432271.7864545.509198e-08
0.44551.7860185.411716e-08
0.4477851.7855885.313734e-08
0.4500821.7851625.215250e-08
0.452391.7847425.116260e-08
0.454711.7843265.016763e-08
0.4570421.7839154.916756e-08
0.4593861.7835084.816236e-08
0.461.7834034.789900e-08
0.4617421.7831074.707075e-08
0.464111.782714.594474e-08
0.466491.7823174.481296e-08
0.4688831.7819294.367537e-08
0.4712871.7815454.253195e-08
0.4737041.7811664.138266e-08
0.4761341.7807914.022748e-08
0.4785751.780423.906638e-08
0.481.7802063.838900e-08
0.481031.7800533.785149e-08
0.4834971.779693.656385e-08
0.4859761.7793313.526961e-08
0.4884691.7789773.396874e-08
0.4909741.7786263.266119e-08
0.4934921.7782793.134694e-08
0.4960231.7779363.002595e-08
0.4985671.7775962.869818e-08
0.51.7774082.795000e-08
0.5011231.7772612.771614e-08
0.5036931.7769292.718116e-08
0.5062771.77662.664344e-08
0.5088731.7762752.610297e-08
0.5114831.7759542.555972e-08
0.5141061.7756362.501368e-08
0.5167431.7753222.446485e-08
0.5193931.7750112.391320e-08
0.5220561.7747032.335872e-08
0.5247341.7743982.280140e-08
0.5274251.7740972.224122e-08
0.530131.7737992.167816e-08
0.5328491.7735042.111222e-08
0.5355811.7732122.054338e-08
0.5383281.7729241.997162e-08
0.5410891.7726381.939693e-08
0.5438641.7723551.881928e-08
0.5466531.7720751.823868e-08
0.5494571.7717991.765510e-08
0.551.7717451.754200e-08
0.5522751.7715251.761456e-08
0.5551071.7712531.770491e-08
0.5579541.7709851.779573e-08
0.5608151.7707191.788701e-08
0.5636911.7704561.797876e-08
0.5665821.7701961.807098e-08
0.5694881.7699381.816367e-08
0.5724091.7696831.825684e-08
0.5753441.7694311.835048e-08
0.5782951.7691811.844461e-08
0.5812611.7689341.853922e-08
0.5842421.7686891.863431e-08
0.5872381.7684461.872989e-08
0.590251.7682061.882596e-08
0.5932771.7679681.892253e-08
0.5963191.7677331.901959e-08
0.5993781.76751.911715e-08
0.61.7674531.913700e-08
0.6024521.7672691.921520e-08
0.6055411.767041.931377e-08
0.6086471.7668141.941283e-08
0.6117681.7665891.951241e-08
0.6149061.7663671.961249e-08
0.6180591.7661471.971309e-08
0.6212291.765931.981420e-08
0.6244151.7657141.991584e-08
0.6276171.76552.001799e-08
0.6308361.7652882.012067e-08
0.6340711.7650792.022387e-08
0.6373231.7648712.032761e-08
0.6405921.7646652.043187e-08
0.6438771.7644612.053667e-08
0.6471791.7642592.064201e-08
0.651.7640882.073200e-08
0.6504981.7640582.069219e-08
0.6538341.763862.042557e-08
0.6571871.7636632.015758e-08
0.6605581.7634681.988822e-08
0.6639451.7632751.961748e-08
0.6673511.7630841.934534e-08
0.6707731.7628941.907182e-08
0.6742131.7627061.879689e-08
0.6776711.762521.852055e-08
0.6811461.7623351.824279e-08
0.684641.7621521.796361e-08
0.6881511.761971.768299e-08
0.691681.761791.740094e-08
0.6952271.7616121.711744e-08
0.6987931.7614351.683249e-08
0.71.7613751.673600e-08
0.7023761.7612591.679282e-08
0.7059791.7610851.687895e-08
0.7095991.7609131.696552e-08
0.7132381.7607411.705253e-08
0.7168961.7605721.713999e-08
0.7205731.7604031.722790e-08
0.7242681.7602361.731626e-08
0.7279831.7600711.740507e-08
0.7317161.7599061.749434e-08
0.7354691.7597431.758406e-08
0.7392411.7595821.767425e-08
0.7430321.7594211.776489e-08
0.7468431.7592621.785601e-08
0.7506731.7591041.794759e-08
0.7545231.7589471.803964e-08
0.7583921.7587911.813216e-08
0.7622821.7586371.822515e-08
0.7661911.7584831.831863e-08
0.770121.7583311.841258e-08
0.774071.758181.850701e-08
0.778041.758031.860193e-08
0.782031.7578811.869734e-08
0.7860411.7577331.879323e-08
0.7900721.7575871.888962e-08
0.7941241.7574411.898650e-08
0.7981961.7572961.908388e-08
0.81.7572321.912700e-08
0.802291.7571521.887120e-08
0.8064051.7570091.841161e-08
0.810541.7568671.794965e-08
0.8146971.7567261.748533e-08
0.8188751.7565861.701863e-08
0.8230751.7564471.654953e-08
0.8272961.7563091.607803e-08
0.8315391.7561711.560411e-08
0.8358031.7560351.512776e-08
0.840091.7558991.464896e-08
0.8443981.7557641.416771e-08
0.8487291.755631.368399e-08
0.851.7555911.354200e-08
0.8530821.7554971.359106e-08
0.8574571.7553641.366071e-08
0.8618541.7552331.373072e-08
0.8662741.7551021.380108e-08
0.8707171.7549711.387181e-08
0.8751821.7548421.394290e-08
0.8796711.7547131.401436e-08
0.8841821.7545851.408618e-08
0.8887171.7544571.415837e-08
0.8932741.754331.423093e-08
0.8978561.7542041.430386e-08
0.91.7541461.433800e-08
0.902461.7540791.437722e-08
0.9070881.7539541.445099e-08
0.9117411.7538291.452514e-08
0.9164161.7537051.459968e-08
0.9211161.7535821.467459e-08
0.925841.7534591.474989e-08
0.9305881.7533371.482558e-08
0.9353611.7532161.490165e-08
0.9401581.7530941.497812e-08
0.944981.7529741.505497e-08
0.9498261.7528541.513222e-08
0.951.7528491.513500e-08
0.9546971.7527341.520978e-08
0.9595931.7526151.528772e-08
0.9645151.7524961.536607e-08
0.9694611.7523781.544482e-08
0.9744331.752261.552397e-08
0.979431.7521421.560353e-08
0.9844531.7520251.568350e-08
0.9895021.7519081.576387e-08
0.9945771.7517921.584466e-08
0.9996781.7516761.592587e-08
11.7516681.593100e-08
1.00481.751561.600755e-08
1.009961.7514441.608966e-08
1.015141.7513291.617219e-08
1.020341.7512141.625514e-08
1.025581.75111.633851e-08
1.030841.7509861.642232e-08
1.036121.7508721.650655e-08
1.041441.7507581.659122e-08
1.046781.7506441.667632e-08
1.052151.7505311.676185e-08
1.057541.7504181.684783e-08
1.061.7503671.688700e-08
1.062971.7503051.693425e-08
1.068421.7501921.702113e-08
1.07391.7500791.710844e-08
1.07941.7499671.719621e-08
1.084941.7498551.728443e-08
1.09051.7497431.737309e-08
1.09611.749631.746222e-08
1.101721.7495181.755180e-08
1.107371.7494071.764184e-08
1.113051.7492951.773234e-08
1.118761.7491831.782330e-08
1.124491.7490711.791474e-08
1.130261.748961.800664e-08
1.136061.7488481.809901e-08
1.141881.7487361.819185e-08
1.147741.7486251.828518e-08
1.153621.7485131.837898e-08
1.159541.7484011.847326e-08
1.165491.748291.856802e-08
1.171471.7481781.866328e-08
1.177471.7480661.875902e-08
1.183511.7479541.885525e-08
1.189581.7478421.895197e-08
1.195681.747731.904919e-08
1.21.7476511.911800e-08
1.201811.7476181.914690e-08
1.207981.7475061.924509e-08
1.214171.7473931.934377e-08
1.22041.747281.944297e-08
1.226661.7471681.954267e-08
1.232951.7470551.964289e-08
1.239271.7469411.974361e-08
1.245631.7468281.984486e-08
1.252021.7467141.994662e-08
1.258441.7466012.004891e-08
1.264891.7464872.015172e-08
1.271381.7463722.025506e-08
1.27791.7462582.035893e-08
1.284451.7461432.046333e-08
1.291041.7460272.056826e-08
1.297661.7459122.067374e-08
1.304321.7457962.077975e-08
1.311011.745682.088631e-08
1.317731.7455632.099342e-08
1.324491.7454472.110107e-08
1.331281.7453292.120928e-08
1.338111.7452122.131804e-08
1.344971.7450942.142736e-08
1.351871.7449752.153724e-08
1.35881.7448562.164769e-08
1.365771.7447372.175870e-08
1.372771.7446172.187028e-08
1.379811.7444972.198243e-08
1.386891.7443762.209515e-08
1.3941.7442542.220846e-08
1.41.7441522.230400e-08
1.401151.7441332.232235e-08
1.408341.744012.243682e-08
1.415561.7438872.255187e-08
1.422821.7437642.266752e-08
1.430121.743642.278376e-08
1.437451.7435152.290060e-08
1.444821.743392.301803e-08
1.452231.7432642.313607e-08
1.459681.7431382.325472e-08
1.467171.743012.337397e-08
1.474691.7428832.349383e-08
1.482251.7427542.361431e-08
1.489861.7426252.373541e-08
1.49751.7424952.385712e-08
1.505181.7423642.397946e-08
1.51291.7422332.410243e-08
1.520651.7421012.422603e-08
1.528451.7419682.435027e-08
1.536291.7418342.447514e-08
1.544171.74172.460065e-08
1.552091.7415642.472680e-08
1.560051.7414282.485360e-08
1.568051.7412912.498105e-08
1.576091.7411532.510916e-08
1.584181.7410142.523792e-08
1.59231.7408752.536735e-08
1.61.7407422.549000e-08
1.600471.7407342.573261e-08
1.608671.7405933.000119e-08
1.616921.740453.429166e-08
1.625221.7403073.860414e-08
1.633551.7401624.293873e-08
1.641931.7400164.729555e-08
1.650351.739875.167472e-08
1.658811.7397225.607634e-08
1.667321.7395746.050054e-08
1.675871.7394246.494742e-08
1.684471.7392736.941712e-08
1.693111.7391217.390973e-08
1.701791.7389687.842539e-08
1.710521.7388148.296420e-08
1.719291.7386588.752630e-08
1.728111.7385029.211179e-08
1.736971.7383449.672079e-08
1.745881.7381851.013534e-07
1.754831.7380241.060098e-07
1.763831.7378621.106901e-07
1.772881.7376991.153944e-07
1.781971.7375351.201228e-07
1.791111.737371.248755e-07
1.81.7372081.295000e-07
1.800291.7372031.301174e-07
1.809531.7370341.495543e-07
1.818811.7368641.690910e-07
1.828131.7366931.887278e-07
1.837511.736522.084653e-07
1.846931.7363462.283041e-07
1.856411.736172.482446e-07
1.865931.7359932.682874e-07
1.87551.7358152.884330e-07
1.885111.7356343.086818e-07
1.894781.7354523.290346e-07
1.90451.7352693.494917e-07
1.914271.7350843.700537e-07
1.924081.7348973.907212e-07
1.933951.7347084.114946e-07
1.943871.7345184.323746e-07
1.953841.7343264.533617e-07
1.963861.7341324.744565e-07
1.973931.7339374.956594e-07
1.984051.7337395.169710e-07
1.994231.733545.383919e-07
21.7334275.505400e-07
2.004461.7333395.746378e-07
2.014741.7331366.302191e-07
2.025071.7329316.860854e-07
2.035461.7327247.422383e-07
2.045891.7325157.986791e-07
2.056391.7323048.554094e-07
2.066931.7320919.124307e-07
2.077531.7318769.697443e-07
2.088191.7316591.027352e-06
2.09891.731441.085255e-06
2.109661.7312181.143455e-06
2.120481.7309941.201953e-06
2.131361.7307691.260752e-06
2.142291.730541.319852e-06
2.153271.730311.379255e-06
2.164321.7300771.438963e-06
2.175421.7298421.498977e-06
2.186571.7296041.559299e-06
2.197791.7293641.619930e-06
2.21.7293171.631900e-06
2.209061.7291221.891564e-06
2.220391.7288772.216355e-06
2.231771.7286292.542812e-06
2.243221.7283792.870942e-06
2.254721.7281273.200756e-06
2.266291.7278713.532261e-06
2.277911.7276133.865466e-06
2.289591.7273524.200380e-06
2.301331.7270894.537011e-06
2.313141.7268224.875369e-06
2.3251.7265535.215463e-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
—