Optical constants

Refractive index of E-F1 (HIKARI)

E-F1: 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
1.62588
Extinction coefficient k
0
Permittivity ε1
2.64348
Permittivity ε2
0
Absorption coefficient α
0 cm⁻¹
Penetration depth δ = λ/(2πk)
— nm
Abbe number Vd
35.65
Chromatic dispersion dn/dλ
-0.0889919 µm⁻¹
Group index ng
1.67817
Group velocity dispersion
172.965 fs²/mm
Dispersion parameter D
-943.616 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-F1 (HIKARI): E-F1
hikari_e_f1 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-F1", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_f1.range_nm)  # (400, 700) nm
eps = hikari_e_f1.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=2.56251919−0.00314623487⁢λ2.0+0.0291600242⁢λ−2.0−0.000870730012⁢λ−4.0+0.000226533195⁢λ−6.0−8.61239946×10-6⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.56251919
C2-0.00314623487
C32.0
C40.0291600242
C5-2.0
C6-0.000870730012
C7-4.0
C80.000226533195
C9-6.0
C10-8.61239946e-06
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.625882
Vd
35.649694
glass status
preferred
density
value: 2720
thermal expansion
value: 8.3e-06, temperature range: 243 343
dPgF
0.0006

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-F1 (HIKARI), E-F1: n and k versus wavelength
λ (µm)nk
0.41.6590410
0.4005611.6588490
0.4011241.6586570
0.4016871.6584660
0.402251.6582760
0.4028151.6580870
0.403381.6578980
0.4039461.657710
0.4045131.6575230
0.4050811.6573360
0.405651.6571510
0.4062191.6569660
0.4067891.6567820
0.407361.6565980
0.4079321.6564150
0.4085041.6562330
0.4090781.6560520
0.4096521.6558710
0.4102271.6556910
0.4108031.6555120
0.4113791.6553340
0.4119571.6551560
0.4125351.6549790
0.4131141.6548020
0.4136941.6546270
0.4142741.6544520
0.4148561.6542770
0.4154381.6541040
0.4160211.6539310
0.4166051.6537580
0.417191.6535870
0.4177751.6534160
0.4183621.6532460
0.4189491.6530760
0.4195371.6529070
0.4201261.6527390
0.4207151.6525710
0.4213061.6524040
0.4218971.6522380
0.4224891.6520720
0.4230821.6519070
0.4236761.6517420
0.4242711.6515790
0.4248661.6514150
0.4254621.6512530
0.426061.6510910
0.4266581.650930
0.4272561.6507690
0.4278561.6506090
0.4284571.6504490
0.4290581.6502910
0.429661.6501320
0.4302631.6499750
0.4308671.6498180
0.4314721.6496610
0.4320771.6495050
0.4326841.649350
0.4332911.6491960
0.4338991.6490420
0.4345081.6488880
0.4351181.6487350
0.4357291.6485830
0.436341.6484310
0.4369531.648280
0.4375661.648130
0.438181.647980
0.4387951.647830
0.4394111.6476810
0.4400281.6475330
0.4406451.6473850
0.4412641.6472380
0.4418831.6470910
0.4425031.6469450
0.4431241.64680
0.4437461.6466550
0.4443691.646510
0.4449931.6463670
0.4456171.6462230
0.4462431.646080
0.4468691.6459380
0.4474961.6457960
0.4481241.6456550
0.4487531.6455140
0.4493831.6453740
0.4500141.6452350
0.4506451.6450960
0.4512781.6449570
0.4519111.6448190
0.4525461.6446810
0.4531811.6445440
0.4538171.6444080
0.4544541.6442710
0.4550921.6441360
0.455731.6440010
0.456371.6438660
0.4570111.6437320
0.4576521.6435990
0.4582941.6434660
0.4589381.6433330
0.4595821.6432010
0.4602271.6430690
0.4608731.6429380
0.4615191.6428070
0.4621671.6426770
0.4628161.6425470
0.4634651.6424180
0.4641161.6422890
0.4647671.6421610
0.465421.6420330
0.4660731.6419060
0.4667271.6417790
0.4673821.6416530
0.4680381.6415270
0.4686951.6414010
0.4693531.6412760
0.4700121.6411510
0.4706711.6410270
0.4713321.6409030
0.4719931.640780
0.4726561.6406570
0.4733191.6405350
0.4739841.6404130
0.4746491.6402910
0.4753151.640170
0.4759821.6400490
0.476651.6399290
0.4773191.6398090
0.4779891.639690
0.478661.6395710
0.4793321.6394520
0.4800051.6393340
0.4806781.6392170
0.4813531.6390990
0.4820281.6389820
0.4827051.6388660
0.4833821.638750
0.4840611.6386340
0.484741.6385190
0.4854211.6384040
0.4861021.638290
0.4867841.6381760
0.4874671.6380620
0.4881521.6379490
0.4888371.6378360
0.4895231.6377240
0.490211.6376120
0.4908981.63750
0.4915871.6373890
0.4922771.6372780
0.4929681.6371670
0.493661.6370570
0.4943531.6369480
0.4950461.6368380
0.4957411.6367290
0.4964371.6366210
0.4971341.6365130
0.4978321.6364050
0.498531.6362970
0.499231.636190
0.4999311.6360830
0.5006321.6359770
0.5013351.6358710
0.5020391.6357650
0.5027431.635660
0.5034491.6355550
0.5041551.6354510
0.5048631.6353460
0.5055721.6352430
0.5062811.6351390
0.5069921.6350360
0.5077031.6349330
0.5084161.6348310
0.509131.6347290
0.5098441.6346270
0.510561.6345260
0.5112761.6344250
0.5119941.6343240
0.5127121.6342230
0.5134321.6341230
0.5141531.6340240
0.5148741.6339240
0.5155971.6338250
0.5163211.6337270
0.5170451.6336280
0.5177711.633530
0.5184981.6334330
0.5192251.6333350
0.5199541.6332380
0.5206841.6331410
0.5214151.6330450
0.5221471.6329490
0.5228791.6328530
0.5236131.6327580
0.5243481.6326630
0.5250841.6325680
0.5258211.6324730
0.5265591.6323790
0.5272981.6322850
0.5280381.6321920
0.5287791.6320980
0.5295211.6320050
0.5302651.6319130
0.5310091.631820
0.5317541.6317280
0.5325011.6316370
0.5332481.6315450
0.5339961.6314540
0.5347461.6313630
0.5354961.6312730
0.5362481.6311820
0.5370011.6310920
0.5377541.6310030
0.5385091.6309130
0.5392651.6308240
0.5400221.6307360
0.540781.6306470
0.5415391.6305590
0.5422991.6304710
0.543061.6303830
0.5438221.6302960
0.5445851.6302090
0.545351.6301220
0.5461151.6300350
0.5468821.6299490
0.5476491.6298630
0.5484181.6297780
0.5491871.6296920
0.5499581.6296070
0.550731.6295220
0.5515031.6294380
0.5522771.6293530
0.5530521.6292690
0.5538291.6291850
0.5546061.6291020
0.5553841.6290190
0.5561641.6289360
0.5569441.6288530
0.5577261.628770
0.5585091.6286880
0.5592931.6286060
0.5600781.6285240
0.5608641.6284430
0.5616511.6283620
0.5624391.6282810
0.5632291.62820
0.5640191.628120
0.5648111.628040
0.5656041.627960
0.5663971.627880
0.5671921.6278010
0.5679881.6277220
0.5687861.6276430
0.5695841.6275640
0.5703831.6274860
0.5711841.6274070
0.5719861.6273290
0.5727881.6272520
0.5735921.6271740
0.5743971.6270970
0.5752041.627020
0.5760111.6269430
0.5768191.6268670
0.5776291.6267910
0.578441.6267150
0.5792511.6266390
0.5800641.6265630
0.5808791.6264880
0.5816941.6264130
0.582511.6263380
0.5833281.6262630
0.5841471.6261890
0.5849661.6261150
0.5857871.6260410
0.586611.6259670
0.5874331.6258930
0.5882571.625820
0.5890831.6257470
0.589911.6256740
0.5907381.6256020
0.5915671.6255290
0.5923971.6254570
0.5932291.6253850
0.5940611.6253130
0.5948951.6252420
0.595731.6251710
0.5965661.62510
0.5974031.6250290
0.5982421.6249580
0.5990821.6248880
0.5999221.6248170
0.6007641.6247470
0.6016081.6246780
0.6024521.6246080
0.6032981.6245390
0.6041441.6244690
0.6049921.62440
0.6058411.6243320
0.6066921.6242630
0.6075431.6241950
0.6083961.6241270
0.609251.6240590
0.6101051.6239910
0.6109611.6239230
0.6118191.6238560
0.6126771.6237890
0.6135371.6237220
0.6143981.6236550
0.6152611.6235890
0.6161241.6235220
0.6169891.6234560
0.6178551.623390
0.6187221.6233240
0.6195911.6232590
0.620461.6231940
0.6213311.6231280
0.6222031.6230630
0.6230761.6229990
0.6239511.6229340
0.6248271.622870
0.6257041.6228050
0.6265821.6227410
0.6274611.6226770
0.6283421.6226140
0.6292241.622550
0.6301071.6224870
0.6309911.6224240
0.6318771.6223610
0.6327641.6222980
0.6336521.6222360
0.6345411.6221730
0.6354321.6221110
0.6363241.6220490
0.6372171.6219870
0.6381111.6219250
0.6390071.6218640
0.6399041.6218030
0.6408021.6217420
0.6417011.6216810
0.6426021.621620
0.6435041.6215590
0.6444071.6214990
0.6453111.6214390
0.6462171.6213780
0.6471241.6213190
0.6480321.6212590
0.6489421.6211990
0.6498521.621140
0.6507651.6210810
0.6516781.6210220
0.6525931.6209630
0.6535091.6209040
0.6544261.6208450
0.6553441.6207870
0.6562641.6207290
0.6571851.6206710
0.6581081.6206130
0.6590311.6205550
0.6599561.6204980
0.6608821.620440
0.661811.6203830
0.6627391.6203260
0.6636691.6202690
0.6646011.6202120
0.6655331.6201560
0.6664671.6200990
0.6674031.6200430
0.668341.6199870
0.6692781.6199310
0.6702171.6198750
0.6711581.6198190
0.67211.6197640
0.6730431.6197090
0.6739881.6196530
0.6749331.6195980
0.6758811.6195440
0.6768291.6194890
0.6777791.6194340
0.6787311.619380
0.6796831.6193260
0.6806371.6192720
0.6815921.6192180
0.6825491.6191640
0.6835071.619110
0.6844661.6190570
0.6854271.6190030
0.6863891.618950
0.6873521.6188970
0.6883171.6188440
0.6892831.6187910
0.6902511.6187390
0.6912191.6186860
0.692191.6186340
0.6931611.6185820
0.6941341.618530
0.6951081.6184780
0.6960841.6184260
0.6970611.6183740
0.6980391.6183230
0.6990191.6182720
0.71.618220

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
—