Optical constants

Refractive index of D-QK3L (CDGM)

D-QK3L: 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
1.48749
Extinction coefficient k
1.51379e-08
Permittivity ε1
2.21262
Permittivity ε2
4.50348e-08
Absorption coefficient α
0.00323737 cm⁻¹
Penetration depth δ = λ/(2πk)
6.17785e+09 nm
Abbe number Vd
70.44
Chromatic dispersion dn/dλ
-0.0360139 µm⁻¹
Group index ng
1.50865
Group velocity dispersion
59.2573 fs²/mm
Dispersion parameter D
-323.28 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-QK3L (CDGM): D-QK3L
cdgm_d_qk3l = ls.fetch_refractiveindex("specs", "CDGM-optical", "D-QK3L", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_d_qk3l.range_nm)  # (302, 2325) nm
eps = cdgm_d_qk3l.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=0.601737491λ2λ2−0.012574974+0.858737004λ2λ2−92.3325663+0.586761501λ2λ2−0.002687509

Valid from 0.302 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.601737491
C30.012574974
C40.858737004
C592.3325663
C60.586761501
C70.002687509

Comments and conditions

anneal rate:4°C/h

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -9.26e-06 1.71e-08 -1.54e-11 3.26e-07 5.95e-10 0.187
nd
1.487490
Vd
70.440487
glass code
487704
density
value: 2430
thermal expansion
value: 9.1e-06, temperature range: 243 343; value: 1.01e-05, temperature range: 293 573
dPgF
0.0035
resistance
climatic: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -3.40e-06 K⁻¹ at 633 nm, dn/dT = -3.62e-06 K⁻¹ at 1310 nm, dn/dT = -3.62e-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-QK3L (CDGM), D-QK3L: n and k versus wavelength
λ (µm)nk
0.3021.5171355.976440e-07
0.3035491.5166975.359889e-07
0.3051061.5162644.740176e-07
0.306671.5158374.117285e-07
0.3082431.5154153.491199e-07
0.3098241.5149982.861903e-07
0.311.5149522.791800e-07
0.3114131.5145862.589482e-07
0.313011.514182.360780e-07
0.3146151.5137782.130904e-07
0.3162291.5133821.899849e-07
0.317851.512991.667610e-07
0.3194811.5126031.434180e-07
0.321.5124811.359800e-07
0.3211191.5122211.285049e-07
0.3227661.5118441.175040e-07
0.3244211.5114711.064467e-07
0.3260851.5111039.533265e-08
0.3277571.5107398.416164e-08
0.3294381.5103797.293334e-08
0.331.5102616.918100e-08
0.3311281.5100246.754344e-08
0.3328261.5096736.507767e-08
0.3345331.5093276.259924e-08
0.3362491.5089846.010811e-08
0.3379731.5086465.760420e-08
0.3397061.5083125.508745e-08
0.341.5082565.466100e-08
0.3414481.5079815.120577e-08
0.34321.5076554.702864e-08
0.344961.5073324.283008e-08
0.3467291.5070143.861000e-08
0.3485071.5066993.436827e-08
0.351.5064383.080700e-08
0.3502941.5063873.049251e-08
0.3520911.506082.857332e-08
0.3538971.5057762.664429e-08
0.3557121.5054752.470536e-08
0.3575361.5051782.275649e-08
0.3593691.5048852.079763e-08
0.361.5047852.012400e-08
0.3612121.5045942.019178e-08
0.3630651.5043082.029533e-08
0.3649271.5040242.039942e-08
0.3667981.5037442.050403e-08
0.368681.5034672.060919e-08
0.371.5032752.068300e-08
0.370571.5031932.054126e-08
0.3724711.5029232.006899e-08
0.3743811.5026551.959430e-08
0.3763011.502391.911718e-08
0.3782311.5021291.863761e-08
0.381.5018931.819800e-08
0.3801711.501871.815291e-08
0.382121.5016151.763799e-08
0.384081.5013621.712043e-08
0.386051.5011121.660022e-08
0.388031.5008651.607734e-08
0.391.5006231.555700e-08
0.390021.500621.555146e-08
0.392021.5003791.499160e-08
0.394031.500141.442887e-08
0.3960511.4999041.386325e-08
0.3980821.499671.329473e-08
0.41.4994531.275800e-08
0.4001241.4994391.278277e-08
0.4021761.4992111.319267e-08
0.4042391.4989851.360466e-08
0.4063121.4987611.401877e-08
0.4083961.498541.443501e-08
0.410491.4983211.485338e-08
0.4125951.4981051.527389e-08
0.4147111.4978911.569656e-08
0.4168381.497681.612140e-08
0.4189761.4974711.654842e-08
0.421.4973721.675300e-08
0.4211251.4972641.679787e-08
0.4232841.4970591.688404e-08
0.4254551.4968561.697066e-08
0.4276371.4966561.705772e-08
0.429831.4964581.714523e-08
0.4320351.4962621.723318e-08
0.434251.4960681.732159e-08
0.4364771.4958761.741045e-08
0.4387161.4956861.749976e-08
0.441.4955781.755100e-08
0.4409661.4954981.741197e-08
0.4432271.4953121.708643e-08
0.44551.4951281.675922e-08
0.4477851.4949461.643033e-08
0.4500821.4947661.609975e-08
0.452391.4945881.576748e-08
0.454711.4944121.543350e-08
0.4570421.4942371.509781e-08
0.4593861.4940641.476040e-08
0.461.4940191.467200e-08
0.4617421.4938931.472757e-08
0.464111.4937241.480311e-08
0.466491.4935571.487903e-08
0.4688831.4933911.495535e-08
0.4712871.4932271.503206e-08
0.4737041.4930651.510916e-08
0.4761341.4929041.518666e-08
0.4785751.4927451.526456e-08
0.481.4926531.531000e-08
0.481031.4925881.534280e-08
0.4834971.4924321.542137e-08
0.4859761.4922771.550035e-08
0.4884691.4921251.557973e-08
0.4909741.4919731.565952e-08
0.4934921.4918241.573971e-08
0.4960231.4916761.582032e-08
0.4985671.4915291.590135e-08
0.51.4914471.594700e-08
0.5011231.4913831.598284e-08
0.5036931.491241.606482e-08
0.5062771.4910971.614723e-08
0.5088731.4909561.623005e-08
0.5114831.4908161.631330e-08
0.5141061.4906781.639698e-08
0.5167431.4905411.648109e-08
0.5193931.4904051.656563e-08
0.5220561.4902711.665060e-08
0.5247341.4901381.673601e-08
0.5274251.4900061.682186e-08
0.530131.4898751.690814e-08
0.5328491.4897461.699487e-08
0.5355811.4896181.708205e-08
0.5383281.4894911.716967e-08
0.5410891.4893651.725774e-08
0.5438641.489241.734626e-08
0.5466531.4891171.743524e-08
0.5494571.4889951.752467e-08
0.551.4889711.754200e-08
0.5522751.4888741.739656e-08
0.5551071.4887531.721546e-08
0.5579541.4886351.703344e-08
0.5608151.4885171.685047e-08
0.5636911.48841.666657e-08
0.5665821.4882841.648173e-08
0.5694881.4881691.629594e-08
0.5724091.4880561.610919e-08
0.5753441.4879431.592149e-08
0.5782951.4878311.573282e-08
0.5812611.487721.554319e-08
0.5842421.4876111.535258e-08
0.5872381.4875021.516100e-08
0.590251.4873941.496844e-08
0.5932771.4872871.477488e-08
0.5963191.4871811.458034e-08
0.5993781.4870761.438479e-08
0.61.4870541.434500e-08
0.6024521.4869711.414937e-08
0.6055411.4868681.390281e-08
0.6086471.4867651.365499e-08
0.6117681.4866641.340590e-08
0.6149061.4865631.315553e-08
0.6180591.4864631.290387e-08
0.6212291.4863641.265093e-08
0.6244151.4862651.239669e-08
0.6276171.4861681.214114e-08
0.6308361.4860711.188429e-08
0.6340711.4859751.162611e-08
0.6373231.4858791.136662e-08
0.6405921.4857851.110579e-08
0.6438771.4856911.084362e-08
0.6471791.4855981.058011e-08
0.651.4855191.035500e-08
0.6504981.4855051.036294e-08
0.6538341.4854141.041612e-08
0.6571871.4853221.046957e-08
0.6605581.4852321.052329e-08
0.6639451.4851421.057729e-08
0.6673511.4850531.063157e-08
0.6707731.4849651.068612e-08
0.6742131.4848771.074096e-08
0.6776711.484791.079607e-08
0.6811461.4847031.085147e-08
0.684641.4846181.090715e-08
0.6881511.4845321.096312e-08
0.691681.4844471.101938e-08
0.6952271.4843631.107592e-08
0.6987931.484281.113276e-08
0.71.4842521.115200e-08
0.7023761.4841971.118986e-08
0.7059791.4841141.124724e-08
0.7095991.4840321.130492e-08
0.7132381.4839511.136289e-08
0.7168961.483871.142116e-08
0.7205731.4837891.147973e-08
0.7242681.4837091.153860e-08
0.7279831.483631.159777e-08
0.7317161.4835511.165724e-08
0.7354691.4834721.171702e-08
0.7392411.4833941.177711e-08
0.7430321.4833171.183750e-08
0.7468431.483241.189820e-08
0.7506731.4831631.195922e-08
0.7545231.4830871.202055e-08
0.7583921.4830111.208219e-08
0.7622821.4829351.214415e-08
0.7661911.482861.220642e-08
0.770121.4827861.226902e-08
0.774071.4827111.233194e-08
0.778041.4826371.239517e-08
0.782031.4825641.245874e-08
0.7860411.4824911.252263e-08
0.7900721.4824181.258685e-08
0.7941241.4823451.265139e-08
0.7981961.4822731.271627e-08
0.81.4822411.274500e-08
0.802291.4822011.247123e-08
0.8064051.482131.197933e-08
0.810541.4820591.148491e-08
0.8146971.4819881.098796e-08
0.8188751.4819171.048846e-08
0.8230751.4818479.986393e-09
0.8272961.4817779.481754e-09
0.8315391.4817078.974527e-09
0.8358031.4816378.464699e-09
0.840091.4815687.952256e-09
0.8443981.4814997.437185e-09
0.8487291.481436.919473e-09
0.851.481416.767500e-09
0.8530821.4813626.792035e-09
0.8574571.4812936.826869e-09
0.8618541.4812256.861882e-09
0.8662741.4811576.897074e-09
0.8707171.4810896.932447e-09
0.8751821.4810226.968001e-09
0.8796711.4809557.003738e-09
0.8841821.4808877.039657e-09
0.8887171.480827.075761e-09
0.8932741.4807537.112051e-09
0.8978561.4806877.148526e-09
0.91.4806567.165600e-09
0.902461.480627.185183e-09
0.9070881.4805547.222024e-09
0.9117411.4804887.259054e-09
0.9164161.4804217.296274e-09
0.9211161.4803557.333685e-09
0.925841.4802897.371288e-09
0.9305881.4802247.409084e-09
0.9353611.4801587.447073e-09
0.9401581.4800927.485257e-09
0.944981.4800277.523637e-09
0.9498261.4799617.562214e-09
0.951.4799597.563600e-09
0.9546971.4798967.600998e-09
0.9595931.479837.639982e-09
0.9645151.4797657.679165e-09
0.9694611.47977.718549e-09
0.9744331.4796347.758135e-09
0.979431.4795697.797925e-09
0.9844531.4795047.837918e-09
0.9895021.4794397.878116e-09
0.9945771.4793747.918521e-09
0.9996781.4793087.959133e-09
11.4793047.961700e-09
1.00481.4792437.999951e-09
1.009961.4791788.040979e-09
1.015141.4791138.082217e-09
1.020341.4790478.123667e-09
1.025581.4789828.165329e-09
1.030841.4789178.207205e-09
1.036121.4788518.249295e-09
1.041441.4787868.291602e-09
1.046781.478728.334125e-09
1.052151.4786558.376867e-09
1.057541.4785898.419827e-09
1.061.4785598.439400e-09
1.062971.4785238.665578e-09
1.068421.4784589.081390e-09
1.07391.4783929.499334e-09
1.07941.4783269.919422e-09
1.084941.4782591.034166e-08
1.09051.4781931.076607e-08
1.09611.4781271.119266e-08
1.101721.478061.162143e-08
1.107371.4779931.205240e-08
1.113051.4779261.248558e-08
1.118761.4778591.292098e-08
1.124491.4777921.335862e-08
1.130261.4777251.379850e-08
1.136061.4776571.424064e-08
1.141881.4775891.468504e-08
1.147741.4775211.513172e-08
1.153621.4774531.558070e-08
1.159541.4773851.603197e-08
1.165491.4773161.648556e-08
1.171471.4772471.694148e-08
1.177471.4771781.739974e-08
1.183511.4771091.786034e-08
1.189581.4770391.832331e-08
1.195681.4769691.878865e-08
1.21.476921.911800e-08
1.201811.4768992.098627e-08
1.207981.4768292.733353e-08
1.214171.4767583.371334e-08
1.22041.4766874.012587e-08
1.226661.4766164.657128e-08
1.232951.4765445.304975e-08
1.239271.4764725.956145e-08
1.245631.47646.610654e-08
1.252021.4763277.268520e-08
1.258441.4762547.929759e-08
1.264891.4761818.594390e-08
1.271381.4761079.262429e-08
1.27791.4760339.933895e-08
1.284451.4759591.060880e-07
1.291041.4758841.128717e-07
1.297661.4758091.196902e-07
1.304321.4757331.265437e-07
1.311011.4756571.334323e-07
1.317731.4755811.403562e-07
1.324491.4755041.473157e-07
1.331281.4754271.543108e-07
1.338111.4753491.613418e-07
1.344971.4752711.684089e-07
1.351871.4751921.755122e-07
1.35881.4751131.826520e-07
1.365771.4750331.898283e-07
1.372771.4749531.970415e-07
1.379811.4748732.042917e-07
1.386891.4747922.115790e-07
1.3941.474712.189037e-07
1.41.4746412.250800e-07
1.401151.4746282.243728e-07
1.408341.4745452.199604e-07
1.415561.4744622.155253e-07
1.422821.4743782.110674e-07
1.430121.4742932.065867e-07
1.437451.4742082.020831e-07
1.444821.4741231.975563e-07
1.452231.4740371.930063e-07
1.459681.473951.884330e-07
1.467171.4738621.838362e-07
1.474691.4737741.792159e-07
1.482251.4736861.745718e-07
1.489861.4735961.699040e-07
1.49751.4735061.652122e-07
1.505181.4734161.604963e-07
1.51291.4733241.557562e-07
1.520651.4732321.509919e-07
1.528451.4731391.462031e-07
1.536291.4730461.413897e-07
1.544171.4729521.365517e-07
1.552091.4728571.316889e-07
1.560051.4727611.268011e-07
1.568051.4726651.218882e-07
1.576091.4725671.169502e-07
1.584181.4724691.119868e-07
1.59231.472371.069979e-07
1.61.4722761.022700e-07
1.600471.4722711.024010e-07
1.608671.472171.047062e-07
1.616921.4720691.070233e-07
1.625221.4719671.093522e-07
1.633551.4718641.116931e-07
1.641931.471761.140460e-07
1.650351.4716551.164109e-07
1.658811.4715491.187880e-07
1.667321.4714431.211772e-07
1.675871.4713351.235788e-07
1.684471.4712271.259926e-07
1.693111.4711171.284188e-07
1.701791.4710071.308575e-07
1.710521.4708951.333086e-07
1.719291.4707831.357723e-07
1.728111.470671.382487e-07
1.736971.4705551.407378e-07
1.745881.470441.432396e-07
1.754831.4703231.457543e-07
1.763831.4702061.482818e-07
1.772881.4700871.508224e-07
1.781971.4699671.533759e-07
1.791111.4698461.559426e-07
1.81.4697281.584400e-07
1.800291.4697241.587507e-07
1.809531.4696011.685324e-07
1.818811.4694771.783643e-07
1.828131.4693511.882466e-07
1.837511.4692251.981796e-07
1.846931.4690972.081636e-07
1.856411.4689682.181987e-07
1.865931.4688372.282853e-07
1.87551.4687062.384236e-07
1.885111.4685732.486140e-07
1.894781.4684392.588565e-07
1.90451.4683032.691517e-07
1.914271.4681662.794996e-07
1.924081.4680282.899006e-07
1.933951.4678893.003549e-07
1.943871.4677483.108628e-07
1.953841.4676053.214247e-07
1.963861.4674623.320407e-07
1.973931.4673163.427111e-07
1.984051.467173.534363e-07
1.994231.4670223.642164e-07
21.4669373.703300e-07
2.004461.4668724.123939e-07
2.014741.4667215.094140e-07
2.025071.4665686.069316e-07
2.035461.4664147.049493e-07
2.045891.4662588.034697e-07
2.056391.46619.024954e-07
2.066931.4659411.002029e-06
2.077531.465781.102073e-06
2.088191.4656181.202630e-06
2.09891.4654541.303703e-06
2.109661.4652881.405294e-06
2.120481.465121.507406e-06
2.131361.4649511.610042e-06
2.142291.464781.713204e-06
2.153271.4646071.816895e-06
2.164321.4644321.921118e-06
2.175421.4642552.025876e-06
2.186571.4640772.131171e-06
2.197791.4638962.237006e-06
2.21.4638612.257900e-06
2.209061.4637142.302341e-06
2.220391.463532.357927e-06
2.231771.4633432.413799e-06
2.243221.4631552.469957e-06
2.254721.4629642.526403e-06
2.266291.4627722.583139e-06
2.277911.4625772.640166e-06
2.289591.4623812.697485e-06
2.301331.4621822.755098e-06
2.313141.4619812.813007e-06
2.3251.4617772.871212e-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
—