Optical constants

Refractive index of D-ZLAF50-25 (CDGM)

D-ZLAF50-25: 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
1.80225
Extinction coefficient k
2.92327e-08
Permittivity ε1
3.24809
Permittivity ε2
1.05369e-07
Absorption coefficient α
0.00625169 cm⁻¹
Penetration depth δ = λ/(2πk)
3.19914e+09 nm
Abbe number Vd
45.453
Chromatic dispersion dn/dλ
-0.0904702 µm⁻¹
Group index ng
1.85541
Group velocity dispersion
166.602 fs²/mm
Dispersion parameter D
-908.9 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-ZLAF50-25 (CDGM): D-ZLAF50-25
cdgm_d_zlaf50_25 = ls.fetch_refractiveindex("specs", "CDGM-optical", "D-ZLAF50-25", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_d_zlaf50_25.range_nm)  # (313, 2325) nm
eps = cdgm_d_zlaf50_25.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=0.281077854λ2λ2−0.0346761107+1.19505397λ2λ2−91.8385642+1.88534009λ2λ2−0.00975311743

Valid from 0.313 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.281077854
C30.0346761107
C41.19505397
C591.8385642
C61.88534009
C70.00975311743

Comments and conditions

anneal rate:25°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
1.802250
Vd
45.452746
glass code
802455
density
value: 4890
thermal expansion
value: 6.2e-06, temperature range: 243 343; value: 7.5e-06, temperature range: 293 573
dPgF
-0.009
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 4.24e-06 K⁻¹ at 633 nm, dn/dT = 3.09e-06 K⁻¹ at 1310 nm, dn/dT = 2.99e-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-ZLAF50-25 (CDGM), D-ZLAF50-25: n and k versus wavelength
λ (µm)nk
0.3131.8781850
0.3145771.8769340
0.3161621.8757030
0.3177551.8744910
0.3193561.8732990
0.3209651.8721240
0.3225821.8709680
0.3242071.8698290
0.3258411.8687080
0.3274831.8676030
0.3291331.8665150
0.331.8659525.567900e-06
0.3307911.8654435.308145e-06
0.3324581.8643874.760748e-06
0.3341331.8633474.210594e-06
0.3358161.8623223.657668e-06
0.3375081.8613123.101956e-06
0.3392091.8603162.543444e-06
0.341.8598592.283500e-06
0.3409181.8593352.172533e-06
0.3426351.8583681.964814e-06
0.3443621.8574141.756049e-06
0.3460971.8564751.546232e-06
0.347841.8555481.335357e-06
0.3495931.8546351.123421e-06
0.351.8544251.074200e-06
0.3513541.8537341.004767e-06
0.3531251.8528469.140126e-07
0.3549041.851978.228010e-07
0.3566921.8511067.311300e-07
0.3584891.8502546.389970e-07
0.361.849555.615400e-07
0.3602951.8494145.544082e-07
0.3621111.8485855.105703e-07
0.3639351.8477684.665115e-07
0.3657691.8469614.222307e-07
0.3676121.8461653.777268e-07
0.3694641.845383.329987e-07
0.371.8451563.200500e-07
0.3713251.8446063.045691e-07
0.3731961.8438422.827153e-07
0.3750761.8430872.607514e-07
0.3769661.8423432.386769e-07
0.3788661.8416082.164911e-07
0.381.8411762.032400e-07
0.3807741.8408841.983152e-07
0.3826931.8401681.861155e-07
0.3846211.8394621.738544e-07
0.3865591.8387651.615314e-07
0.3885071.8380771.491464e-07
0.391.8375571.396500e-07
0.3904641.8373971.381260e-07
0.3924311.8367271.316653e-07
0.3944091.8360651.251721e-07
0.3963961.8354111.186462e-07
0.3983931.8347651.120874e-07
0.41.8342541.068100e-07
0.40041.8341281.062973e-07
0.4024181.8334991.037133e-07
0.4044451.8328771.011162e-07
0.4064831.8322649.850603e-08
0.4085311.8316589.588272e-08
0.4105891.8310599.324619e-08
0.4126581.8304689.059638e-08
0.4147371.8298848.793321e-08
0.4168271.8293078.525663e-08
0.4189271.8287388.256657e-08
0.421.8284518.119200e-08
0.4210381.8281758.027928e-08
0.4231591.8276197.841323e-08
0.4252911.827077.653778e-08
0.4274341.8265287.465288e-08
0.4295871.8259927.275848e-08
0.4317521.8254627.085454e-08
0.4339271.8249396.894101e-08
0.4361131.8244226.701783e-08
0.4383111.8239116.508497e-08
0.441.8235246.359900e-08
0.4405191.8234066.319150e-08
0.4427391.8229076.144918e-08
0.4449691.8224155.969809e-08
0.4472111.8219275.793817e-08
0.4494641.8214465.616939e-08
0.4517291.820975.439170e-08
0.4540051.82055.260504e-08
0.4562921.8200355.080939e-08
0.4585911.8195764.900469e-08
0.461.8192984.789900e-08
0.4609021.8191224.747008e-08
0.4632241.8186734.636587e-08
0.4655581.8182294.525610e-08
0.4679041.8177914.414073e-08
0.4702611.8173574.301975e-08
0.4726311.8169294.189312e-08
0.4750121.8165054.076081e-08
0.4774051.8160863.962280e-08
0.4798111.8156723.847905e-08
0.481.815643.838900e-08
0.4822281.8152623.767267e-08
0.4846581.8148573.689153e-08
0.48711.8144573.610646e-08
0.4895541.8140613.531744e-08
0.492021.813673.452444e-08
0.4944991.8132833.372744e-08
0.4969911.81293.292643e-08
0.4994951.8125213.212138e-08
0.51.8124463.195900e-08
0.5020121.8121473.191016e-08
0.5045411.8117763.184875e-08
0.5070831.811413.178702e-08
0.5096381.8110483.172499e-08
0.5122061.810693.166265e-08
0.5147861.8103353.159999e-08
0.517381.8099853.153701e-08
0.5199871.8096383.147372e-08
0.5226071.8092953.141011e-08
0.525241.8089563.134618e-08
0.5278861.808623.128192e-08
0.5305461.8082883.121735e-08
0.5332191.807963.115244e-08
0.5359061.8076353.108721e-08
0.5386061.8073133.102166e-08
0.5413191.8069953.095577e-08
0.5440471.806683.088955e-08
0.5467881.8063693.082299e-08
0.5495431.8060613.075610e-08
0.551.806013.074500e-08
0.5523121.8057563.065203e-08
0.5550941.8054543.054011e-08
0.5578911.8051553.042762e-08
0.5607021.804863.031457e-08
0.5635271.8045673.020094e-08
0.5663661.8042783.008675e-08
0.569221.8039922.997198e-08
0.5720881.8037082.985663e-08
0.574971.8034272.974070e-08
0.5778671.803152.962418e-08
0.5807791.8028752.950708e-08
0.5837051.8026032.938939e-08
0.5866461.8023332.927110e-08
0.5896021.8020662.915222e-08
0.5925721.8018022.903275e-08
0.5955581.8015412.891266e-08
0.5985581.8012822.879198e-08
0.61.8011592.873400e-08
0.6015741.8010262.897332e-08
0.6046051.8007722.943409e-08
0.6076511.8005212.989718e-08
0.6107131.8002733.036260e-08
0.613791.8000263.083037e-08
0.6168831.7997823.130049e-08
0.6199911.7995413.177299e-08
0.6231141.7993023.224786e-08
0.6262541.7990653.272513e-08
0.6294091.7988313.320480e-08
0.632581.7985983.368688e-08
0.6357681.7983683.417140e-08
0.6389711.798143.465836e-08
0.642191.7979153.514777e-08
0.6454261.7976913.563965e-08
0.6486781.797473.613400e-08
0.651.797383.633500e-08
0.6519461.797253.622555e-08
0.6552311.7970333.604082e-08
0.6585321.7968183.585515e-08
0.661851.7966043.566855e-08
0.6651851.7963933.548101e-08
0.6685361.7961833.529252e-08
0.6719051.7959763.510308e-08
0.675291.795773.491269e-08
0.6786921.7955673.472134e-08
0.6821121.7953653.452903e-08
0.6855491.7951653.433575e-08
0.6890031.7949663.414149e-08
0.6924741.794773.394626e-08
0.6959631.7945753.375004e-08
0.699471.7943823.355283e-08
0.71.7943533.352300e-08
0.7029941.794193.347474e-08
0.7065361.7940013.341764e-08
0.7100961.7938133.336026e-08
0.7136731.7936263.330259e-08
0.7172691.7934413.324462e-08
0.7208831.7932583.318637e-08
0.7245151.7930763.312782e-08
0.7281651.7928963.306897e-08
0.7318341.7927173.300983e-08
0.7355221.792543.295039e-08
0.7392271.7923643.289065e-08
0.7429521.792193.283062e-08
0.7466951.7920173.277027e-08
0.7504571.7918463.270963e-08
0.7542381.7916763.264868e-08
0.7580391.7915073.258742e-08
0.7618581.791343.252585e-08
0.7656961.7911743.246397e-08
0.7695541.7910093.240179e-08
0.7734321.7908453.233928e-08
0.7773281.7906833.227647e-08
0.7812451.7905223.221333e-08
0.7851811.7903633.214988e-08
0.7891371.7902043.208611e-08
0.7931131.7900473.202202e-08
0.7971091.7898913.195760e-08
0.81.7897793.191100e-08
0.8011251.7897363.165019e-08
0.8051621.7895823.071471e-08
0.8092181.7894292.977453e-08
0.8132961.7892782.882960e-08
0.8173931.7891272.787992e-08
0.8215121.7889782.692545e-08
0.8256511.7888292.596617e-08
0.8298111.7886822.500206e-08
0.8339921.7885362.403309e-08
0.8381941.788392.305924e-08
0.8424171.7882462.208048e-08
0.8466611.7881022.109680e-08
0.851.7879912.032300e-08
0.8509271.787962.021203e-08
0.8552141.7878181.969884e-08
0.8595231.7876781.918307e-08
0.8638541.7875381.866469e-08
0.8682061.7873991.814371e-08
0.8725811.7872611.762009e-08
0.8769771.7871241.709384e-08
0.8813961.7869881.656494e-08
0.8858361.7868521.603338e-08
0.89031.7867181.549913e-08
0.8947851.7865841.496220e-08
0.8992941.7864511.442256e-08
0.91.786431.433800e-08
0.9038251.7863191.439896e-08
0.9083781.7861871.447155e-08
0.9129551.7860561.454451e-08
0.9175551.7859261.461783e-08
0.9221781.7857971.469152e-08
0.9268241.7856681.476558e-08
0.9314941.785541.484001e-08
0.9361871.7854131.491483e-08
0.9409041.7852861.499001e-08
0.9456451.785161.506558e-08
0.951.7850451.513500e-08
0.9504091.7850341.514152e-08
0.9551981.7849091.521775e-08
0.9600111.7847851.529437e-08
0.9648471.7846611.537137e-08
0.9697091.7845381.544876e-08
0.9745951.7844161.552654e-08
0.9795051.7842941.560472e-08
0.984441.7841721.568329e-08
0.98941.7840511.576225e-08
0.9943851.783931.584161e-08
0.9993951.783811.592137e-08
11.7837961.593100e-08
1.004431.7836911.600159e-08
1.009491.7835721.608223e-08
1.014581.7834531.616327e-08
1.019691.7833351.624472e-08
1.024831.7832171.632657e-08
1.029991.7830991.640885e-08
1.035181.7829821.649153e-08
1.04041.7828661.657463e-08
1.045641.7827491.665816e-08
1.050911.7826331.674210e-08
1.05621.7825181.682646e-08
1.061.7824351.688700e-08
1.061521.7824021.691126e-08
1.066871.7822871.699649e-08
1.072251.7821731.708215e-08
1.077651.7820581.716824e-08
1.083081.7819441.725476e-08
1.088531.781831.734172e-08
1.094021.7817171.742912e-08
1.099531.7816031.751696e-08
1.105071.781491.760524e-08
1.110641.7813771.769397e-08
1.116231.7812641.778314e-08
1.121861.7811521.787277e-08
1.127511.7810391.796284e-08
1.133191.7809271.805337e-08
1.13891.7808151.814435e-08
1.144641.7807031.823580e-08
1.150411.7805911.832770e-08
1.15621.7804791.842007e-08
1.162031.7803681.851290e-08
1.167881.7802561.860620e-08
1.173771.7801451.869997e-08
1.179681.7800341.879421e-08
1.185631.7799221.888893e-08
1.19161.7798111.898412e-08
1.19761.77971.907980e-08
1.21.7796551.911800e-08
1.203641.7795881.917593e-08
1.20971.7794771.927254e-08
1.21581.7793661.936963e-08
1.221921.7792551.946721e-08
1.228081.7791431.956528e-08
1.234271.7790321.966385e-08
1.240481.7789211.976292e-08
1.246731.7788091.986248e-08
1.253021.7786981.996254e-08
1.259331.7785862.006311e-08
1.265671.7784742.016419e-08
1.272051.7783622.026577e-08
1.278461.778252.036787e-08
1.28491.7781382.047048e-08
1.291381.7780262.057361e-08
1.297881.7779132.067726e-08
1.304421.7778012.078143e-08
1.310991.7776882.088612e-08
1.31761.7775752.099135e-08
1.324241.7774622.109710e-08
1.330911.7773482.120338e-08
1.337611.7772342.131021e-08
1.344351.777122.141756e-08
1.351131.7770062.152547e-08
1.357941.7768912.163391e-08
1.364781.7767772.174290e-08
1.371651.7766612.185244e-08
1.378561.7765462.196253e-08
1.385511.776432.207318e-08
1.392491.7763142.218438e-08
1.399511.7761972.229614e-08
1.41.7761892.230400e-08
1.406561.776082.282703e-08
1.413641.7759632.339224e-08
1.420771.7758452.396029e-08
1.427931.7757272.453121e-08
1.435121.7756092.510500e-08
1.442351.775492.568169e-08
1.449621.775372.626128e-08
1.456921.7752512.684379e-08
1.464261.775132.742924e-08
1.471641.7750092.801763e-08
1.479051.7748882.860899e-08
1.486511.7747662.920333e-08
1.4941.7746442.980066e-08
1.501521.7745213.040101e-08
1.509091.7743973.100437e-08
1.516691.7742733.161078e-08
1.524331.7741483.222025e-08
1.532011.7740233.283278e-08
1.539731.7738973.344840e-08
1.547491.7737713.406712e-08
1.555291.7736433.468896e-08
1.563121.7735153.531393e-08
1.5711.7733873.594205e-08
1.578911.7732583.657334e-08
1.586871.7731283.720781e-08
1.594871.7729973.784547e-08
1.61.7729133.825500e-08
1.60291.7728663.957838e-08
1.610981.7727334.326287e-08
1.619091.77264.696593e-08
1.627251.7724675.068765e-08
1.635451.7723325.442811e-08
1.643691.7721975.818743e-08
1.651971.7720616.196568e-08
1.660291.7719246.576297e-08
1.668661.7717866.957939e-08
1.677071.7716477.341505e-08
1.685521.7715077.727002e-08
1.694011.7713678.114442e-08
1.702541.7712258.503834e-08
1.711121.7710828.895188e-08
1.719741.7709399.288514e-08
1.728411.7707959.683822e-08
1.737121.7706491.008112e-07
1.745871.7705031.048042e-07
1.754671.7703551.088173e-07
1.763511.7702071.128507e-07
1.772391.7700571.169044e-07
1.781321.7699061.209785e-07
1.79031.7697551.250731e-07
1.799321.7696021.291883e-07
1.81.769591.295000e-07
1.808381.7694471.443903e-07
1.817491.7692921.605752e-07
1.826651.7691361.768417e-07
1.835851.7689781.931901e-07
1.84511.7688192.096209e-07
1.85441.7686592.261345e-07
1.863741.7684982.427313e-07
1.873131.7683352.594118e-07
1.882571.7681712.761762e-07
1.892061.7680062.930251e-07
1.901591.7678393.099590e-07
1.911171.7676713.269781e-07
1.92081.7675023.440830e-07
1.930481.7673313.612741e-07
1.94021.7671593.785517e-07
1.949981.7669853.959165e-07
1.95981.766814.133687e-07
1.969681.7666334.309089e-07
1.97961.7664554.485374e-07
1.989581.7662764.662548e-07
1.99961.7660944.840614e-07
21.7660874.847700e-07
2.009681.7659115.246069e-07
2.01981.7657275.662953e-07
2.029981.7655416.081937e-07
2.040211.7653536.503032e-07
2.050491.7651646.926249e-07
2.060821.7649737.351598e-07
2.07121.764787.779090e-07
2.081641.7645858.208737e-07
2.092121.7643898.640547e-07
2.102661.764199.074534e-07
2.113261.763999.510707e-07
2.123911.7637889.949077e-07
2.134611.7635841.038966e-06
2.145361.7633791.083246e-06
2.156171.7631711.127749e-06
2.167031.7629611.172476e-06
2.177951.762751.217428e-06
2.188931.7625361.262607e-06
2.199951.762321.308014e-06
2.21.7623191.308200e-06
2.211041.7621021.544895e-06
2.222181.7618821.783755e-06
2.233381.761662.023819e-06
2.244631.7614362.265092e-06
2.255941.7612092.507581e-06
2.26731.760982.751292e-06
2.278731.7607492.996230e-06
2.290211.7605163.242403e-06
2.301751.760283.489816e-06
2.313341.7600423.738475e-06
2.3251.7598013.988387e-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
—