Optical constants

Refractive index of D-ZLAF50 (CDGM)

D-ZLAF50: 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
1.80337
Extinction coefficient k
2.92327e-08
Permittivity ε1
3.25213
Permittivity ε2
1.05435e-07
Absorption coefficient α
0.00625169 cm⁻¹
Penetration depth δ = λ/(2πk)
3.19914e+09 nm
Abbe number Vd
45.492
Chromatic dispersion dn/dλ
-0.0905226 µm⁻¹
Group index ng
1.85656
Group velocity dispersion
166.681 fs²/mm
Dispersion parameter D
-909.334 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-ZLAF50 (CDGM): D-ZLAF50
cdgm_d_zlaf50 = ls.fetch_refractiveindex("specs", "CDGM-optical", "D-ZLAF50", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_d_zlaf50.range_nm)  # (313, 2325) nm
eps = cdgm_d_zlaf50.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=1.13754975λ2λ2−87.6010757+0.27377557λ2λ2−0.0348809856+1.89653755λ2λ2−0.00982589937

Valid from 0.313 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C21.13754975
C387.6010757
C40.27377557
C50.0348809856
C61.89653755
C70.00982589937

Comments and conditions

anneal rate:4°C/h

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 4.59e-06 1.77e-08 -4.18e-11 8.47e-07 3.91e-10 0.15
nd
1.803370
Vd
45.491557
glass code
803455
density
value: 4890
thermal expansion
value: 6.2e-06, temperature range: 243 343; value: 7.5e-06, temperature range: 293 573
dPgF
-0.0089
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 4.25e-06 K⁻¹ at 633 nm, dn/dT = 3.10e-06 K⁻¹ at 1310 nm, dn/dT = 3.00e-06 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
D-ZLAF50 (CDGM), D-ZLAF50: n and k versus wavelength
λ (µm)nk
0.3131.8793160
0.3145771.8780650
0.3161621.8768350
0.3177551.8756230
0.3193561.8744310
0.3209651.8732560
0.3225821.87210
0.3242071.8709620
0.3258411.869840
0.3274831.8687360
0.3291331.8676480
0.331.8670855.567900e-06
0.3307911.8665765.308145e-06
0.3324581.8655214.760748e-06
0.3341331.864484.210594e-06
0.3358161.8634553.657668e-06
0.3375081.8624453.101956e-06
0.3392091.861452.543444e-06
0.341.8609932.283500e-06
0.3409181.8604692.172533e-06
0.3426351.8595021.964814e-06
0.3443621.8585481.756049e-06
0.3460971.8576091.546232e-06
0.347841.8566821.335357e-06
0.3495931.8557691.123421e-06
0.351.8555591.074200e-06
0.3513541.8548681.004767e-06
0.3531251.853989.140126e-07
0.3549041.8531048.228010e-07
0.3566921.852247.311300e-07
0.3584891.8513896.389970e-07
0.361.8506855.615400e-07
0.3602951.8505485.544082e-07
0.3621111.849725.105703e-07
0.3639351.8489024.665115e-07
0.3657691.8480954.222307e-07
0.3676121.84733.777268e-07
0.3694641.8465153.329987e-07
0.371.846293.200500e-07
0.3713251.845743.045691e-07
0.3731961.8449762.827153e-07
0.3750761.8442212.607514e-07
0.3769661.8434772.386769e-07
0.3788661.8427422.164911e-07
0.381.842312.032400e-07
0.3807741.8420171.983152e-07
0.3826931.8413021.861155e-07
0.3846211.8405951.738544e-07
0.3865591.8398981.615314e-07
0.3885071.839211.491464e-07
0.391.8386911.396500e-07
0.3904641.8385311.381260e-07
0.3924311.837861.316653e-07
0.3944091.8371981.251721e-07
0.3963961.8365441.186462e-07
0.3983931.8358981.120874e-07
0.41.8353871.068100e-07
0.40041.8352611.062973e-07
0.4024181.8346321.037133e-07
0.4044451.834011.011162e-07
0.4064831.8333969.850603e-08
0.4085311.832799.588272e-08
0.4105891.8321919.324619e-08
0.4126581.83169.059638e-08
0.4147371.8310168.793321e-08
0.4168271.8304398.525663e-08
0.4189271.8298698.256657e-08
0.421.8295828.119200e-08
0.4210381.8293068.027928e-08
0.4231591.828757.841323e-08
0.4252911.8282017.653778e-08
0.4274341.8276587.465288e-08
0.4295871.8271227.275848e-08
0.4317521.8265937.085454e-08
0.4339271.8260696.894101e-08
0.4361131.8255526.701783e-08
0.4383111.8250416.508497e-08
0.441.8246546.359900e-08
0.4405191.8245366.319150e-08
0.4427391.8240376.144918e-08
0.4449691.8235445.969809e-08
0.4472111.8230575.793817e-08
0.4494641.8225755.616939e-08
0.4517291.8220995.439170e-08
0.4540051.8216295.260504e-08
0.4562921.8211645.080939e-08
0.4585911.8207054.900469e-08
0.461.8204274.789900e-08
0.4609021.820254.747008e-08
0.4632241.8198014.636587e-08
0.4655581.8193574.525610e-08
0.4679041.8189194.414073e-08
0.4702611.8184854.301975e-08
0.4726311.8180564.189312e-08
0.4750121.8176324.076081e-08
0.4774051.8172133.962280e-08
0.4798111.8167993.847905e-08
0.481.8167663.838900e-08
0.4822281.8163893.767267e-08
0.4846581.8159843.689153e-08
0.48711.8155833.610646e-08
0.4895541.8151873.531744e-08
0.492021.8147963.452444e-08
0.4944991.8144083.372744e-08
0.4969911.8140253.292643e-08
0.4994951.8136473.212138e-08
0.51.8135713.195900e-08
0.5020121.8132723.191016e-08
0.5045411.8129023.184875e-08
0.5070831.8125353.178702e-08
0.5096381.8121733.172499e-08
0.5122061.8118143.166265e-08
0.5147861.811463.159999e-08
0.517381.8111093.153701e-08
0.5199871.8107623.147372e-08
0.5226071.8104193.141011e-08
0.525241.810083.134618e-08
0.5278861.8097443.128192e-08
0.5305461.8094123.121735e-08
0.5332191.8090833.115244e-08
0.5359061.8087583.108721e-08
0.5386061.8084363.102166e-08
0.5413191.8081183.095577e-08
0.5440471.8078033.088955e-08
0.5467881.8074913.082299e-08
0.5495431.8071833.075610e-08
0.551.8071323.074500e-08
0.5523121.8068783.065203e-08
0.5550941.8065763.054011e-08
0.5578911.8062773.042762e-08
0.5607021.8059813.031457e-08
0.5635271.8056893.020094e-08
0.5663661.8053993.008675e-08
0.569221.8051132.997198e-08
0.5720881.8048292.985663e-08
0.574971.8045482.974070e-08
0.5778671.804272.962418e-08
0.5807791.8039952.950708e-08
0.5837051.8037232.938939e-08
0.5866461.8034532.927110e-08
0.5896021.8031862.915222e-08
0.5925721.8029222.903275e-08
0.5955581.8026612.891266e-08
0.5985581.8024022.879198e-08
0.61.8022792.873400e-08
0.6015741.8021452.897332e-08
0.6046051.8018922.943409e-08
0.6076511.801642.989718e-08
0.6107131.8013913.036260e-08
0.613791.8011453.083037e-08
0.6168831.8009013.130049e-08
0.6199911.8006593.177299e-08
0.6231141.800423.224786e-08
0.6262541.8001833.272513e-08
0.6294091.7999493.320480e-08
0.632581.7997163.368688e-08
0.6357681.7994863.417140e-08
0.6389711.7992583.465836e-08
0.642191.7990323.514777e-08
0.6454261.7988083.563965e-08
0.6486781.7985873.613400e-08
0.651.7984983.633500e-08
0.6519461.7983673.622555e-08
0.6552311.798153.604082e-08
0.6585321.7979343.585515e-08
0.661851.7977213.566855e-08
0.6651851.7975093.548101e-08
0.6685361.79733.529252e-08
0.6719051.7970923.510308e-08
0.675291.7968873.491269e-08
0.6786921.7966833.472134e-08
0.6821121.7964813.452903e-08
0.6855491.796283.433575e-08
0.6890031.7960823.414149e-08
0.6924741.7958853.394626e-08
0.6959631.795693.375004e-08
0.699471.7954973.355283e-08
0.71.7954683.352300e-08
0.7029941.7953063.347474e-08
0.7065361.7951163.341764e-08
0.7100961.7949283.336026e-08
0.7136731.7947413.330259e-08
0.7172691.7945563.324462e-08
0.7208831.7943733.318637e-08
0.7245151.7941913.312782e-08
0.7281651.7940113.306897e-08
0.7318341.7938323.300983e-08
0.7355221.7936543.295039e-08
0.7392271.7934793.289065e-08
0.7429521.7933043.283062e-08
0.7466951.7931313.277027e-08
0.7504571.792963.270963e-08
0.7542381.792793.264868e-08
0.7580391.7926213.258742e-08
0.7618581.7924533.252585e-08
0.7656961.7922873.246397e-08
0.7695541.7921223.240179e-08
0.7734321.7919593.233928e-08
0.7773281.7917973.227647e-08
0.7812451.7916363.221333e-08
0.7851811.7914763.214988e-08
0.7891371.7913173.208611e-08
0.7931131.791163.202202e-08
0.7971091.7910043.195760e-08
0.81.7908923.191100e-08
0.8011251.7908493.165019e-08
0.8051621.7906953.071471e-08
0.8092181.7905422.977453e-08
0.8132961.790392.882960e-08
0.8173931.790242.787992e-08
0.8215121.790092.692545e-08
0.8256511.7899422.596617e-08
0.8298111.7897942.500206e-08
0.8339921.7896482.403309e-08
0.8381941.7895022.305924e-08
0.8424171.7893582.208048e-08
0.8466611.7892152.109680e-08
0.851.7891032.032300e-08
0.8509271.7890722.021203e-08
0.8552141.788931.969884e-08
0.8595231.788791.918307e-08
0.8638541.788651.866469e-08
0.8682061.7885111.814371e-08
0.8725811.7883731.762009e-08
0.8769771.7882361.709384e-08
0.8813961.78811.656494e-08
0.8858361.7879641.603338e-08
0.89031.787831.549913e-08
0.8947851.7876961.496220e-08
0.8992941.7875631.442256e-08
0.91.7875421.433800e-08
0.9038251.787431.439896e-08
0.9083781.7872991.447155e-08
0.9129551.7871681.454451e-08
0.9175551.7870381.461783e-08
0.9221781.7869081.469152e-08
0.9268241.7867791.476558e-08
0.9314941.7866511.484001e-08
0.9361871.7865241.491483e-08
0.9409041.7863971.499001e-08
0.9456451.7862711.506558e-08
0.951.7861561.513500e-08
0.9504091.7861451.514152e-08
0.9551981.7860211.521775e-08
0.9600111.7858961.529437e-08
0.9648471.7857721.537137e-08
0.9697091.7856491.544876e-08
0.9745951.7855271.552654e-08
0.9795051.7854051.560472e-08
0.984441.7852831.568329e-08
0.98941.7851621.576225e-08
0.9943851.7850411.584161e-08
0.9993951.7849211.592137e-08
11.7849071.593100e-08
1.004431.7848021.600159e-08
1.009491.7846821.608223e-08
1.014581.7845641.616327e-08
1.019691.7844451.624472e-08
1.024831.7843281.632657e-08
1.029991.784211.640885e-08
1.035181.7840931.649153e-08
1.04041.7839761.657463e-08
1.045641.783861.665816e-08
1.050911.7837441.674210e-08
1.05621.7836281.682646e-08
1.061.7835461.688700e-08
1.061521.7835131.691126e-08
1.066871.7833981.699649e-08
1.072251.7832831.708215e-08
1.077651.7831691.716824e-08
1.083081.7830551.725476e-08
1.088531.7829411.734172e-08
1.094021.7828271.742912e-08
1.099531.7827141.751696e-08
1.105071.7826011.760524e-08
1.110641.7824881.769397e-08
1.116231.7823751.778314e-08
1.121861.7822621.787277e-08
1.127511.782151.796284e-08
1.133191.7820381.805337e-08
1.13891.7819261.814435e-08
1.144641.7818141.823580e-08
1.150411.7817021.832770e-08
1.15621.781591.842007e-08
1.162031.7814781.851290e-08
1.167881.7813671.860620e-08
1.173771.7812561.869997e-08
1.179681.7811441.879421e-08
1.185631.7810331.888893e-08
1.19161.7809221.898412e-08
1.19761.780811.907980e-08
1.21.7807661.911800e-08
1.203641.7806991.917593e-08
1.20971.7805881.927254e-08
1.21581.7804771.936963e-08
1.221921.7803651.946721e-08
1.228081.7802541.956528e-08
1.234271.7801431.966385e-08
1.240481.7800311.976292e-08
1.246731.779921.986248e-08
1.253021.7798081.996254e-08
1.259331.7796972.006311e-08
1.265671.7795852.016419e-08
1.272051.7794732.026577e-08
1.278461.7793612.036787e-08
1.28491.7792492.047048e-08
1.291381.7791372.057361e-08
1.297881.7790242.067726e-08
1.304421.7789112.078143e-08
1.310991.7787992.088612e-08
1.31761.7786862.099135e-08
1.324241.7785722.109710e-08
1.330911.7784592.120338e-08
1.337611.7783452.131021e-08
1.344351.7782312.141756e-08
1.351131.7781172.152547e-08
1.357941.7780022.163391e-08
1.364781.7778872.174290e-08
1.371651.7777722.185244e-08
1.378561.7776572.196253e-08
1.385511.7775412.207318e-08
1.392491.7774252.218438e-08
1.399511.7773082.229614e-08
1.41.77732.230400e-08
1.406561.7771912.282703e-08
1.413641.7770742.339224e-08
1.420771.7769562.396029e-08
1.427931.7768382.453121e-08
1.435121.776722.510500e-08
1.442351.7766012.568169e-08
1.449621.7764812.626128e-08
1.456921.7763612.684379e-08
1.464261.7762412.742924e-08
1.471641.776122.801763e-08
1.479051.7759992.860899e-08
1.486511.7758772.920333e-08
1.4941.7757542.980066e-08
1.501521.7756313.040101e-08
1.509091.7755083.100437e-08
1.516691.7753843.161078e-08
1.524331.7752593.222025e-08
1.532011.7751343.283278e-08
1.539731.7750083.344840e-08
1.547491.7748813.406712e-08
1.555291.7747543.468896e-08
1.563121.7746263.531393e-08
1.5711.7744973.594205e-08
1.578911.7743683.657334e-08
1.586871.7742383.720781e-08
1.594871.7741073.784547e-08
1.61.7740233.825500e-08
1.60291.7739763.957838e-08
1.610981.7738444.326287e-08
1.619091.7737114.696593e-08
1.627251.7735775.068765e-08
1.635451.7734425.442811e-08
1.643691.7733075.818743e-08
1.651971.7731716.196568e-08
1.660291.7730336.576297e-08
1.668661.7728956.957939e-08
1.677071.7727577.341505e-08
1.685521.7726177.727002e-08
1.694011.7724768.114442e-08
1.702541.7723358.503834e-08
1.711121.7721928.895188e-08
1.719741.7720489.288514e-08
1.728411.7719049.683822e-08
1.737121.7717581.008112e-07
1.745871.7716121.048042e-07
1.754671.7714641.088173e-07
1.763511.7713161.128507e-07
1.772391.7711661.169044e-07
1.781321.7710151.209785e-07
1.79031.7708631.250731e-07
1.799321.770711.291883e-07
1.81.7706981.295000e-07
1.808381.7705561.443903e-07
1.817491.77041.605752e-07
1.826651.7702441.768417e-07
1.835851.7700861.931901e-07
1.84511.7699272.096209e-07
1.85441.7697672.261345e-07
1.863741.7696052.427313e-07
1.873131.7694422.594118e-07
1.882571.7692782.761762e-07
1.892061.7691132.930251e-07
1.901591.7689463.099590e-07
1.911171.7687783.269781e-07
1.92081.7686083.440830e-07
1.930481.7684373.612741e-07
1.94021.7682643.785517e-07
1.949981.7680913.959165e-07
1.95981.7679154.133687e-07
1.969681.7677384.309089e-07
1.97961.767564.485374e-07
1.989581.767384.662548e-07
1.99961.7671984.840614e-07
21.7671914.847700e-07
2.009681.7670155.246069e-07
2.01981.766835.662953e-07
2.029981.7666446.081937e-07
2.040211.7664566.503032e-07
2.050491.7662666.926249e-07
2.060821.7660757.351598e-07
2.07121.7658817.779090e-07
2.081641.7656868.208737e-07
2.092121.7654898.640547e-07
2.102661.7652919.074534e-07
2.113261.765099.510707e-07
2.123911.7648889.949077e-07
2.134611.7646831.038966e-06
2.145361.7644771.083246e-06
2.156171.7642691.127749e-06
2.167031.7640591.172476e-06
2.177951.7638471.217428e-06
2.188931.7636321.262607e-06
2.199951.7634161.308014e-06
2.21.7634151.308200e-06
2.211041.7631981.544895e-06
2.222181.7629771.783755e-06
2.233381.7627542.023819e-06
2.244631.7625292.265092e-06
2.255941.7623022.507581e-06
2.26731.7620722.751292e-06
2.278731.7618412.996230e-06
2.290211.7616073.242403e-06
2.301751.761373.489816e-06
2.313341.7611313.738475e-06
2.3251.760893.988387e-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
—