Optical constants

Refractive index of E-LAK06 (HIKARI)

E-LAK06: n 0.4–0.7 µm

Data
formula 3 + tabulated k
Range
0.4–0.7 µm
Temperature
296 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.4–0.7 µm
Refractive index n
1.6779
Extinction coefficient k
0
Permittivity ε1
2.81534
Permittivity ε2
0
Absorption coefficient α
0 cm⁻¹
Penetration depth δ = λ/(2πk)
— nm
Abbe number Vd
50.709
Chromatic dispersion dn/dλ
-0.0685877 µm⁻¹
Group index ng
1.7182
Group velocity dispersion
126.341 fs²/mm
Dispersion parameter D
-689.259 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

# E-LAK06 (HIKARI): E-LAK06
hikari_e_lak06 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-LAK06", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_lak06.range_nm)  # (400, 700) nm
eps = hikari_e_lak06.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=2.77078533−0.0176502071⁢λ2.0+0.011803041⁢λ−2.0+0.0027975002⁢λ−4.0−0.000346617455⁢λ−6.0+2.01612172×10-5⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.77078533
C2-0.0176502071
C32.0
C40.011803041
C5-2.0
C60.0027975002
C7-4.0
C8-0.000346617455
C9-6.0
C102.01612172e-05
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.677900
Vd
50.708792
glass status
preferred
density
value: 3860
thermal expansion
value: 9.5e-06, temperature range: 243 343
dPgF
-0.0027

References

Cite

NIKON Zemax catalog 2017-11 (obtained from http://www.nikon.com); See also HIKARI 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 400 wavelengths, the same grid as the API and the library
E-LAK06 (HIKARI), E-LAK06: n and k versus wavelength
λ (µm)nk
0.41.7021010
0.4005611.7019660
0.4011241.7018310
0.4016871.7016970
0.402251.7015640
0.4028151.7014310
0.403381.7012980
0.4039461.7011660
0.4045131.7010350
0.4050811.7009040
0.405651.7007730
0.4062191.7006430
0.4067891.7005140
0.407361.7003850
0.4079321.7002570
0.4085041.7001290
0.4090781.7000010
0.4096521.6998740
0.4102271.6997480
0.4108031.6996220
0.4113791.6994960
0.4119571.6993710
0.4125351.6992460
0.4131141.6991220
0.4136941.6989980
0.4142741.6988750
0.4148561.6987520
0.4154381.698630
0.4160211.6985080
0.4166051.6983870
0.417191.6982660
0.4177751.6981450
0.4183621.6980250
0.4189491.6979050
0.4195371.6977860
0.4201261.6976670
0.4207151.6975490
0.4213061.6974310
0.4218971.6973130
0.4224891.6971960
0.4230821.697080
0.4236761.6969630
0.4242711.6968470
0.4248661.6967320
0.4254621.6966170
0.426061.6965020
0.4266581.6963880
0.4272561.6962740
0.4278561.6961610
0.4284571.6960470
0.4290581.6959350
0.429661.6958230
0.4302631.6957110
0.4308671.6955990
0.4314721.6954880
0.4320771.6953770
0.4326841.6952670
0.4332911.6951570
0.4338991.6950470
0.4345081.6949380
0.4351181.6948290
0.4357291.6947210
0.436341.6946130
0.4369531.6945050
0.4375661.6943980
0.438181.6942910
0.4387951.6941840
0.4394111.6940780
0.4400281.6939720
0.4406451.6938660
0.4412641.6937610
0.4418831.6936560
0.4425031.6935510
0.4431241.6934470
0.4437461.6933430
0.4443691.693240
0.4449931.6931370
0.4456171.6930340
0.4462431.6929310
0.4468691.6928290
0.4474961.6927280
0.4481241.6926260
0.4487531.6925250
0.4493831.6924240
0.4500141.6923240
0.4506451.6922240
0.4512781.6921240
0.4519111.6920240
0.4525461.6919250
0.4531811.6918260
0.4538171.6917280
0.4544541.6916290
0.4550921.6915320
0.455731.6914340
0.456371.6913370
0.4570111.691240
0.4576521.6911430
0.4582941.6910470
0.4589381.6909510
0.4595821.6908550
0.4602271.690760
0.4608731.6906650
0.4615191.690570
0.4621671.6904750
0.4628161.6903810
0.4634651.6902870
0.4641161.6901940
0.4647671.69010
0.465421.6900070
0.4660731.6899150
0.4667271.6898220
0.4673821.689730
0.4680381.6896380
0.4686951.6895470
0.4693531.6894560
0.4700121.6893650
0.4706711.6892740
0.4713321.6891840
0.4719931.6890940
0.4726561.6890040
0.4733191.6889140
0.4739841.6888250
0.4746491.6887360
0.4753151.6886470
0.4759821.6885590
0.476651.6884710
0.4773191.6883830
0.4779891.6882950
0.478661.6882080
0.4793321.6881210
0.4800051.6880340
0.4806781.6879480
0.4813531.6878610
0.4820281.6877750
0.4827051.687690
0.4833821.6876040
0.4840611.6875190
0.484741.6874340
0.4854211.6873490
0.4861021.6872650
0.4867841.6871810
0.4874671.6870970
0.4881521.6870130
0.4888371.686930
0.4895231.6868470
0.490211.6867640
0.4908981.6866810
0.4915871.6865990
0.4922771.6865170
0.4929681.6864350
0.493661.6863530
0.4943531.6862720
0.4950461.6861910
0.4957411.686110
0.4964371.686030
0.4971341.6859490
0.4978321.6858690
0.498531.6857890
0.499231.685710
0.4999311.685630
0.5006321.6855510
0.5013351.6854720
0.5020391.6853930
0.5027431.6853150
0.5034491.6852370
0.5041551.6851590
0.5048631.6850810
0.5055721.6850040
0.5062811.6849260
0.5069921.6848490
0.5077031.6847730
0.5084161.6846960
0.509131.684620
0.5098441.6845440
0.510561.6844680
0.5112761.6843920
0.5119941.6843170
0.5127121.6842420
0.5134321.6841670
0.5141531.6840920
0.5148741.6840170
0.5155971.6839430
0.5163211.6838690
0.5170451.6837950
0.5177711.6837220
0.5184981.6836480
0.5192251.6835750
0.5199541.6835020
0.5206841.6834290
0.5214151.6833570
0.5221471.6832840
0.5228791.6832120
0.5236131.683140
0.5243481.6830690
0.5250841.6829970
0.5258211.6829260
0.5265591.6828550
0.5272981.6827840
0.5280381.6827140
0.5287791.6826430
0.5295211.6825730
0.5302651.6825030
0.5310091.6824330
0.5317541.6823640
0.5325011.6822940
0.5332481.6822250
0.5339961.6821560
0.5347461.6820870
0.5354961.6820190
0.5362481.681950
0.5370011.6818820
0.5377541.6818140
0.5385091.6817470
0.5392651.6816790
0.5400221.6816120
0.540781.6815450
0.5415391.6814780
0.5422991.6814110
0.543061.6813440
0.5438221.6812780
0.5445851.6812120
0.545351.6811460
0.5461151.681080
0.5468821.6810140
0.5476491.6809490
0.5484181.6808840
0.5491871.6808190
0.5499581.6807540
0.550731.6806890
0.5515031.6806250
0.5522771.6805610
0.5530521.6804960
0.5538291.6804330
0.5546061.6803690
0.5553841.6803050
0.5561641.6802420
0.5569441.6801790
0.5577261.6801160
0.5585091.6800530
0.5592931.679990
0.5600781.6799280
0.5608641.6798660
0.5616511.6798040
0.5624391.6797420
0.5632291.679680
0.5640191.6796190
0.5648111.6795570
0.5656041.6794960
0.5663971.6794350
0.5671921.6793740
0.5679881.6793140
0.5687861.6792530
0.5695841.6791930
0.5703831.6791330
0.5711841.6790730
0.5719861.6790130
0.5727881.6789530
0.5735921.6788940
0.5743971.6788350
0.5752041.6787760
0.5760111.6787170
0.5768191.6786580
0.5776291.6785990
0.578441.6785410
0.5792511.6784830
0.5800641.6784240
0.5808791.6783660
0.5816941.6783090
0.582511.6782510
0.5833281.6781940
0.5841471.6781360
0.5849661.6780790
0.5857871.6780220
0.586611.6779650
0.5874331.6779090
0.5882571.6778520
0.5890831.6777960
0.589911.677740
0.5907381.6776840
0.5915671.6776280
0.5923971.6775720
0.5932291.6775170
0.5940611.6774610
0.5948951.6774060
0.595731.6773510
0.5965661.6772960
0.5974031.6772410
0.5982421.6771870
0.5990821.6771320
0.5999221.6770780
0.6007641.6770240
0.6016081.676970
0.6024521.6769160
0.6032981.6768620
0.6041441.6768090
0.6049921.6767550
0.6058411.6767020
0.6066921.6766490
0.6075431.6765960
0.6083961.6765430
0.609251.6764910
0.6101051.6764380
0.6109611.6763860
0.6118191.6763330
0.6126771.6762810
0.6135371.6762290
0.6143981.6761780
0.6152611.6761260
0.6161241.6760740
0.6169891.6760230
0.6178551.6759720
0.6187221.6759210
0.6195911.675870
0.620461.6758190
0.6213311.6757680
0.6222031.6757180
0.6230761.6756670
0.6239511.6756170
0.6248271.6755670
0.6257041.6755170
0.6265821.6754670
0.6274611.6754170
0.6283421.6753680
0.6292241.6753180
0.6301071.6752690
0.6309911.675220
0.6318771.675170
0.6327641.6751210
0.6336521.6750730
0.6345411.6750240
0.6354321.6749750
0.6363241.6749270
0.6372171.6748790
0.6381111.6748310
0.6390071.6747820
0.6399041.6747350
0.6408021.6746870
0.6417011.6746390
0.6426021.6745920
0.6435041.6745440
0.6444071.6744970
0.6453111.674450
0.6462171.6744030
0.6471241.6743560
0.6480321.6743090
0.6489421.6742620
0.6498521.6742160
0.6507651.6741690
0.6516781.6741230
0.6525931.6740770
0.6535091.6740310
0.6544261.6739850
0.6553441.6739390
0.6562641.6738930
0.6571851.6738470
0.6581081.6738020
0.6590311.6737570
0.6599561.6737110
0.6608821.6736660
0.661811.6736210
0.6627391.6735760
0.6636691.6735320
0.6646011.6734870
0.6655331.6734420
0.6664671.6733980
0.6674031.6733530
0.668341.6733090
0.6692781.6732650
0.6702171.6732210
0.6711581.6731770
0.67211.6731330
0.6730431.673090
0.6739881.6730460
0.6749331.6730030
0.6758811.6729590
0.6768291.6729160
0.6777791.6728730
0.6787311.672830
0.6796831.6727870
0.6806371.6727440
0.6815921.6727010
0.6825491.6726590
0.6835071.6726160
0.6844661.6725740
0.6854271.6725320
0.6863891.6724890
0.6873521.6724470
0.6883171.6724050
0.6892831.6723630
0.6902511.6723210
0.6912191.672280
0.692191.6722380
0.6931611.6721970
0.6941341.6721550
0.6951081.6721140
0.6960841.6720730
0.6970611.6720320
0.6980391.6719910
0.6990191.671950
0.71.6719090

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
—