Optical constants

Refractive index of E-LF7 (HIKARI)

E-LF7: 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
1.575
Extinction coefficient k
0
Permittivity ε1
2.48064
Permittivity ε2
0
Absorption coefficient α
0 cm⁻¹
Penetration depth δ = λ/(2πk)
— nm
Abbe number Vd
41.482
Chromatic dispersion dn/dλ
-0.0705593 µm⁻¹
Group index ng
1.61646
Group velocity dispersion
133.796 fs²/mm
Dispersion parameter D
-729.928 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-LF7 (HIKARI): E-LF7
hikari_e_lf7 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-LF7", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_lf7.range_nm)  # (400, 700) nm
eps = hikari_e_lf7.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=2.42793483−0.0101841542⁢λ2.0+0.01737719⁢λ−2.0+0.000782340309⁢λ−4.0−4.23035005×10-5⁢λ−6.0+5.02350788×10-6⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.42793483
C2-0.0101841542
C32.0
C40.01737719
C5-2.0
C60.000782340309
C7-4.0
C8-4.23035005e-05
C9-6.0
C105.02350788e-06
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.575006
Vd
41.481733
glass status
preferred
density
value: 2540
thermal expansion
value: 7.8e-06, temperature range: 243 343
dPgF
0.0014

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-LF7 (HIKARI), E-LF7: n and k versus wavelength
λ (µm)nk
0.41.6008780
0.4005611.6007280
0.4011241.600580
0.4016871.6004310
0.402251.6002840
0.4028151.6001360
0.403381.599990
0.4039461.5998440
0.4045131.5996990
0.4050811.5995540
0.405651.599410
0.4062191.5992670
0.4067891.5991240
0.407361.5989810
0.4079321.5988390
0.4085041.5986980
0.4090781.5985580
0.4096521.5984180
0.4102271.5982780
0.4108031.5981390
0.4113791.5980010
0.4119571.5978630
0.4125351.5977260
0.4131141.5975890
0.4136941.5974530
0.4142741.5973170
0.4148561.5971820
0.4154381.5970470
0.4160211.5969130
0.4166051.596780
0.417191.5966470
0.4177751.5965140
0.4183621.5963820
0.4189491.5962510
0.4195371.596120
0.4201261.595990
0.4207151.595860
0.4213061.595730
0.4218971.5956020
0.4224891.5954730
0.4230821.5953450
0.4236761.5952180
0.4242711.5950910
0.4248661.5949650
0.4254621.5948390
0.426061.5947130
0.4266581.5945880
0.4272561.5944640
0.4278561.594340
0.4284571.5942160
0.4290581.5940930
0.429661.5939710
0.4302631.5938480
0.4308671.5937270
0.4314721.5936060
0.4320771.5934850
0.4326841.5933650
0.4332911.5932450
0.4338991.5931250
0.4345081.5930060
0.4351181.5928880
0.4357291.592770
0.436341.5926520
0.4369531.5925350
0.4375661.5924190
0.438181.5923020
0.4387951.5921860
0.4394111.5920710
0.4400281.5919560
0.4406451.5918410
0.4412641.5917270
0.4418831.5916140
0.4425031.59150
0.4431241.5913870
0.4437461.5912750
0.4443691.5911630
0.4449931.5910510
0.4456171.590940
0.4462431.5908290
0.4468691.5907190
0.4474961.5906090
0.4481241.5904990
0.4487531.590390
0.4493831.5902810
0.4500141.5901730
0.4506451.5900650
0.4512781.5899570
0.4519111.589850
0.4525461.5897430
0.4531811.5896370
0.4538171.5895310
0.4544541.5894250
0.4550921.589320
0.455731.5892150
0.456371.589110
0.4570111.5890060
0.4576521.5889020
0.4582941.5887990
0.4589381.5886960
0.4595821.5885930
0.4602271.5884910
0.4608731.5883890
0.4615191.5882870
0.4621671.5881860
0.4628161.5880850
0.4634651.5879840
0.4641161.5878840
0.4647671.5877840
0.465421.5876850
0.4660731.5875860
0.4667271.5874870
0.4673821.5873880
0.4680381.587290
0.4686951.5871930
0.4693531.5870950
0.4700121.5869980
0.4706711.5869010
0.4713321.5868050
0.4719931.5867090
0.4726561.5866130
0.4733191.5865180
0.4739841.5864230
0.4746491.5863280
0.4753151.5862340
0.4759821.586140
0.476651.5860460
0.4773191.5859520
0.4779891.5858590
0.478661.5857660
0.4793321.5856740
0.4800051.5855820
0.4806781.585490
0.4813531.5853990
0.4820281.5853070
0.4827051.5852160
0.4833821.5851260
0.4840611.5850360
0.484741.5849460
0.4854211.5848560
0.4861021.5847670
0.4867841.5846780
0.4874671.5845890
0.4881521.58450
0.4888371.5844120
0.4895231.5843240
0.490211.5842370
0.4908981.5841490
0.4915871.5840630
0.4922771.5839760
0.4929681.5838890
0.493661.5838030
0.4943531.5837180
0.4950461.5836320
0.4957411.5835470
0.4964371.5834620
0.4971341.5833770
0.4978321.5832930
0.498531.5832090
0.499231.5831250
0.4999311.5830410
0.5006321.5829580
0.5013351.5828750
0.5020391.5827920
0.5027431.582710
0.5034491.5826280
0.5041551.5825460
0.5048631.5824640
0.5055721.5823830
0.5062811.5823020
0.5069921.5822210
0.5077031.582140
0.5084161.582060
0.509131.581980
0.5098441.58190
0.510561.5818210
0.5112761.5817410
0.5119941.5816620
0.5127121.5815840
0.5134321.5815050
0.5141531.5814270
0.5148741.5813490
0.5155971.5812710
0.5163211.5811940
0.5170451.5811170
0.5177711.581040
0.5184981.5809630
0.5192251.5808860
0.5199541.580810
0.5206841.5807340
0.5214151.5806580
0.5221471.5805830
0.5228791.5805080
0.5236131.5804330
0.5243481.5803580
0.5250841.5802830
0.5258211.5802090
0.5265591.5801350
0.5272981.5800610
0.5280381.5799880
0.5287791.5799140
0.5295211.5798410
0.5302651.5797680
0.5310091.5796960
0.5317541.5796230
0.5325011.5795510
0.5332481.5794790
0.5339961.5794070
0.5347461.5793360
0.5354961.5792650
0.5362481.5791940
0.5370011.5791230
0.5377541.5790520
0.5385091.5789820
0.5392651.5789120
0.5400221.5788420
0.540781.5787720
0.5415391.5787020
0.5422991.5786330
0.543061.5785640
0.5438221.5784950
0.5445851.5784260
0.545351.5783580
0.5461151.578290
0.5468821.5782220
0.5476491.5781540
0.5484181.5780860
0.5491871.5780190
0.5499581.5779520
0.550731.5778850
0.5515031.5778180
0.5522771.5777520
0.5530521.5776850
0.5538291.5776190
0.5546061.5775530
0.5553841.5774870
0.5561641.5774220
0.5569441.5773570
0.5577261.5772910
0.5585091.5772270
0.5592931.5771620
0.5600781.5770970
0.5608641.5770330
0.5616511.5769690
0.5624391.5769050
0.5632291.5768410
0.5640191.5767780
0.5648111.5767140
0.5656041.5766510
0.5663971.5765880
0.5671921.5765250
0.5679881.5764630
0.5687861.57640
0.5695841.5763380
0.5703831.5762760
0.5711841.5762140
0.5719861.5761520
0.5727881.5760910
0.5735921.576030
0.5743971.5759690
0.5752041.5759080
0.5760111.5758470
0.5768191.5757860
0.5776291.5757260
0.578441.5756660
0.5792511.5756060
0.5800641.5755460
0.5808791.5754860
0.5816941.5754270
0.582511.5753670
0.5833281.5753080
0.5841471.5752490
0.5849661.575190
0.5857871.5751320
0.586611.5750730
0.5874331.5750150
0.5882571.5749570
0.5890831.5748990
0.589911.5748410
0.5907381.5747840
0.5915671.5747260
0.5923971.5746690
0.5932291.5746120
0.5940611.5745550
0.5948951.5744980
0.595731.5744420
0.5965661.5743850
0.5974031.5743290
0.5982421.5742730
0.5990821.5742170
0.5999221.5741610
0.6007641.5741060
0.6016081.574050
0.6024521.5739950
0.6032981.573940
0.6041441.5738850
0.6049921.573830
0.6058411.5737750
0.6066921.5737210
0.6075431.5736670
0.6083961.5736120
0.609251.5735580
0.6101051.5735040
0.6109611.5734510
0.6118191.5733970
0.6126771.5733440
0.6135371.573290
0.6143981.5732370
0.6152611.5731840
0.6161241.5731320
0.6169891.5730790
0.6178551.5730260
0.6187221.5729740
0.6195911.5729220
0.620461.572870
0.6213311.5728180
0.6222031.5727660
0.6230761.5727140
0.6239511.5726630
0.6248271.5726120
0.6257041.572560
0.6265821.5725090
0.6274611.5724580
0.6283421.5724080
0.6292241.5723570
0.6301071.5723070
0.6309911.5722560
0.6318771.5722060
0.6327641.5721560
0.6336521.5721060
0.6345411.5720560
0.6354321.5720070
0.6363241.5719570
0.6372171.5719080
0.6381111.5718580
0.6390071.5718090
0.6399041.571760
0.6408021.5717120
0.6417011.5716630
0.6426021.5716140
0.6435041.5715660
0.6444071.5715180
0.6453111.5714690
0.6462171.5714210
0.6471241.5713730
0.6480321.5713260
0.6489421.5712780
0.6498521.571230
0.6507651.5711830
0.6516781.5711360
0.6525931.5710890
0.6535091.5710420
0.6544261.5709950
0.6553441.5709480
0.6562641.5709010
0.6571851.5708550
0.6581081.5708080
0.6590311.5707620
0.6599561.5707160
0.6608821.570670
0.661811.5706240
0.6627391.5705780
0.6636691.5705330
0.6646011.5704870
0.6655331.5704420
0.6664671.5703960
0.6674031.5703510
0.668341.5703060
0.6692781.5702610
0.6702171.5702160
0.6711581.5701720
0.67211.5701270
0.6730431.5700830
0.6739881.5700380
0.6749331.5699940
0.6758811.569950
0.6768291.5699060
0.6777791.5698620
0.6787311.5698180
0.6796831.5697750
0.6806371.5697310
0.6815921.5696880
0.6825491.5696440
0.6835071.5696010
0.6844661.5695580
0.6854271.5695150
0.6863891.5694720
0.6873521.5694290
0.6883171.5693870
0.6892831.5693440
0.6902511.5693020
0.6912191.5692590
0.692191.5692170
0.6931611.5691750
0.6941341.5691330
0.6951081.5690910
0.6960841.5690490
0.6970611.5690080
0.6980391.5689660
0.6990191.5689240
0.71.5688830

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
—