Optical constants

Refractive index of E-LAF3 (HIKARI)

E-LAF3: 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
1.717
Extinction coefficient k
0
Permittivity ε1
2.94809
Permittivity ε2
0
Absorption coefficient α
0 cm⁻¹
Penetration depth δ = λ/(2πk)
— nm
Abbe number Vd
47.933
Chromatic dispersion dn/dλ
-0.0766372 µm⁻¹
Group index ng
1.76203
Group velocity dispersion
141.35 fs²/mm
Dispersion parameter D
-771.141 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-LAF3 (HIKARI): E-LAF3
hikari_e_laf3 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-LAF3", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_laf3.range_nm)  # (400, 700) nm
eps = hikari_e_laf3.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=2.88218387−0.0106317724⁢λ2.0+0.0227527853⁢λ−2.0+0.000397667212⁢λ−4.0+1.25478223×10-5⁢λ−6.0+5.87511175×10-7⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.88218387
C2-0.0106317724
C32.0
C40.0227527853
C5-2.0
C60.000397667212
C7-4.0
C81.25478223e-05
C9-6.0
C105.87511175e-07
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.717004
Vd
47.933096
glass code
717479
glass status
preferred
density
value: 3890
thermal expansion
value: 9.6e-06, temperature range: 243 343
dPgF
-0.0033

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-LAF3 (HIKARI), E-LAF3: n and k versus wavelength
λ (µm)nk
0.41.7441850
0.4005611.7440340
0.4011241.7438840
0.4016871.7437350
0.402251.7435850
0.4028151.7434370
0.403381.7432890
0.4039461.7431410
0.4045131.7429940
0.4050811.7428480
0.405651.7427020
0.4062191.7425560
0.4067891.7424110
0.407361.7422670
0.4079321.7421230
0.4085041.741980
0.4090781.7418370
0.4096521.7416940
0.4102271.7415520
0.4108031.7414110
0.4113791.741270
0.4119571.741130
0.4125351.740990
0.4131141.740850
0.4136941.7407110
0.4142741.7405730
0.4148561.7404350
0.4154381.7402970
0.4160211.740160
0.4166051.7400240
0.417191.7398880
0.4177751.7397520
0.4183621.7396170
0.4189491.7394820
0.4195371.7393480
0.4201261.7392140
0.4207151.7390810
0.4213061.7389480
0.4218971.7388160
0.4224891.7386840
0.4230821.7385520
0.4236761.7384210
0.4242711.7382910
0.4248661.7381610
0.4254621.7380310
0.426061.7379020
0.4266581.7377730
0.4272561.7376440
0.4278561.7375170
0.4284571.7373890
0.4290581.7372620
0.429661.7371350
0.4302631.7370090
0.4308671.7368830
0.4314721.7367580
0.4320771.7366330
0.4326841.7365090
0.4332911.7363850
0.4338991.7362610
0.4345081.7361380
0.4351181.7360150
0.4357291.7358930
0.436341.7357710
0.4369531.7356490
0.4375661.7355280
0.438181.7354070
0.4387951.7352870
0.4394111.7351670
0.4400281.7350470
0.4406451.7349280
0.4412641.7348090
0.4418831.7346910
0.4425031.7345730
0.4431241.7344550
0.4437461.7343380
0.4443691.7342220
0.4449931.7341050
0.4456171.7339890
0.4462431.7338740
0.4468691.7337580
0.4474961.7336430
0.4481241.7335290
0.4487531.7334150
0.4493831.7333010
0.4500141.7331880
0.4506451.7330750
0.4512781.7329620
0.4519111.732850
0.4525461.7327380
0.4531811.7326270
0.4538171.7325160
0.4544541.7324050
0.4550921.7322940
0.455731.7321840
0.456371.7320750
0.4570111.7319650
0.4576521.7318560
0.4582941.7317480
0.4589381.731640
0.4595821.7315320
0.4602271.7314240
0.4608731.7313170
0.4615191.731210
0.4621671.7311040
0.4628161.7309980
0.4634651.7308920
0.4641161.7307860
0.4647671.7306810
0.465421.7305760
0.4660731.7304720
0.4667271.7303680
0.4673821.7302640
0.4680381.7301610
0.4686951.7300580
0.4693531.7299550
0.4700121.7298530
0.4706711.729750
0.4713321.7296490
0.4719931.7295470
0.4726561.7294460
0.4733191.7293450
0.4739841.7292450
0.4746491.7291450
0.4753151.7290450
0.4759821.7289450
0.476651.7288460
0.4773191.7287470
0.4779891.7286490
0.478661.7285510
0.4793321.7284530
0.4800051.7283550
0.4806781.7282580
0.4813531.7281610
0.4820281.7280640
0.4827051.7279680
0.4833821.7278720
0.4840611.7277760
0.484741.727680
0.4854211.7275850
0.4861021.727490
0.4867841.7273960
0.4874671.7273020
0.4881521.7272080
0.4888371.7271140
0.4895231.7270210
0.490211.7269270
0.4908981.7268350
0.4915871.7267420
0.4922771.726650
0.4929681.7265580
0.493661.7264660
0.4943531.7263750
0.4950461.7262840
0.4957411.7261930
0.4964371.7261030
0.4971341.7260130
0.4978321.7259230
0.498531.7258330
0.499231.7257440
0.4999311.7256550
0.5006321.7255660
0.5013351.7254770
0.5020391.7253890
0.5027431.7253010
0.5034491.7252130
0.5041551.7251260
0.5048631.7250390
0.5055721.7249520
0.5062811.7248650
0.5069921.7247790
0.5077031.7246930
0.5084161.7246070
0.509131.7245210
0.5098441.7244360
0.510561.7243510
0.5112761.7242660
0.5119941.7241820
0.5127121.7240970
0.5134321.7240130
0.5141531.723930
0.5148741.7238460
0.5155971.7237630
0.5163211.723680
0.5170451.7235970
0.5177711.7235150
0.5184981.7234320
0.5192251.723350
0.5199541.7232690
0.5206841.7231870
0.5214151.7231060
0.5221471.7230250
0.5228791.7229440
0.5236131.7228640
0.5243481.7227840
0.5250841.7227040
0.5258211.7226240
0.5265591.7225440
0.5272981.7224650
0.5280381.7223860
0.5287791.7223070
0.5295211.7222290
0.5302651.722150
0.5310091.7220720
0.5317541.7219940
0.5325011.7219170
0.5332481.7218390
0.5339961.7217620
0.5347461.7216850
0.5354961.7216080
0.5362481.7215320
0.5370011.7214560
0.5377541.721380
0.5385091.7213040
0.5392651.7212280
0.5400221.7211530
0.540781.7210780
0.5415391.7210030
0.5422991.7209280
0.543061.7208540
0.5438221.720780
0.5445851.7207060
0.545351.7206320
0.5461151.7205580
0.5468821.7204850
0.5476491.7204120
0.5484181.7203390
0.5491871.7202660
0.5499581.7201940
0.550731.7201210
0.5515031.7200490
0.5522771.7199770
0.5530521.7199060
0.5538291.7198340
0.5546061.7197630
0.5553841.7196920
0.5561641.7196210
0.5569441.7195510
0.5577261.719480
0.5585091.719410
0.5592931.719340
0.5600781.719270
0.5608641.7192010
0.5616511.7191310
0.5624391.7190620
0.5632291.7189930
0.5640191.7189250
0.5648111.7188560
0.5656041.7187880
0.5663971.7187190
0.5671921.7186510
0.5679881.7185840
0.5687861.7185160
0.5695841.7184490
0.5703831.7183810
0.5711841.7183140
0.5719861.7182480
0.5727881.7181810
0.5735921.7181150
0.5743971.7180480
0.5752041.7179820
0.5760111.7179160
0.5768191.7178510
0.5776291.7177850
0.578441.717720
0.5792511.7176550
0.5800641.717590
0.5808791.7175250
0.5816941.7174610
0.582511.7173960
0.5833281.7173320
0.5841471.7172680
0.5849661.7172040
0.5857871.7171410
0.586611.7170770
0.5874331.7170140
0.5882571.7169510
0.5890831.7168880
0.589911.7168250
0.5907381.7167630
0.5915671.71670
0.5923971.7166380
0.5932291.7165760
0.5940611.7165140
0.5948951.7164520
0.595731.7163910
0.5965661.7163290
0.5974031.7162680
0.5982421.7162070
0.5990821.7161460
0.5999221.7160860
0.6007641.7160250
0.6016081.7159650
0.6024521.7159050
0.6032981.7158450
0.6041441.7157850
0.6049921.7157250
0.6058411.7156660
0.6066921.7156060
0.6075431.7155470
0.6083961.7154880
0.609251.7154290
0.6101051.7153710
0.6109611.7153120
0.6118191.7152540
0.6126771.7151960
0.6135371.7151380
0.6143981.715080
0.6152611.7150220
0.6161241.7149640
0.6169891.7149070
0.6178551.714850
0.6187221.7147930
0.6195911.7147360
0.620461.7146790
0.6213311.7146220
0.6222031.7145660
0.6230761.7145090
0.6239511.7144530
0.6248271.7143970
0.6257041.7143410
0.6265821.7142860
0.6274611.714230
0.6283421.7141750
0.6292241.7141190
0.6301071.7140640
0.6309911.7140090
0.6318771.7139540
0.6327641.71390
0.6336521.7138450
0.6345411.7137910
0.6354321.7137370
0.6363241.7136830
0.6372171.7136290
0.6381111.7135750
0.6390071.7135210
0.6399041.7134680
0.6408021.7134140
0.6417011.7133610
0.6426021.7133080
0.6435041.7132550
0.6444071.7132020
0.6453111.7131490
0.6462171.7130970
0.6471241.7130450
0.6480321.7129920
0.6489421.712940
0.6498521.7128880
0.6507651.7128360
0.6516781.7127850
0.6525931.7127330
0.6535091.7126820
0.6544261.712630
0.6553441.7125790
0.6562641.7125280
0.6571851.7124770
0.6581081.7124260
0.6590311.7123760
0.6599561.7123250
0.6608821.7122750
0.661811.7122250
0.6627391.7121750
0.6636691.7121250
0.6646011.7120750
0.6655331.7120250
0.6664671.7119750
0.6674031.7119260
0.668341.7118770
0.6692781.7118270
0.6702171.7117780
0.6711581.7117290
0.67211.711680
0.6730431.7116320
0.6739881.7115830
0.6749331.7115350
0.6758811.7114860
0.6768291.7114380
0.6777791.711390
0.6787311.7113420
0.6796831.7112940
0.6806371.7112460
0.6815921.7111990
0.6825491.7111510
0.6835071.7111040
0.6844661.7110570
0.6854271.7110090
0.6863891.7109620
0.6873521.7109160
0.6883171.7108690
0.6892831.7108220
0.6902511.7107760
0.6912191.7107290
0.692191.7106830
0.6931611.7106370
0.6941341.710590
0.6951081.7105440
0.6960841.7104990
0.6970611.7104530
0.6980391.7104070
0.6990191.7103620
0.71.7103160

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
—