Optical constants

Refractive index of E-F3 (HIKARI)

E-F3: 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
1.61293
Extinction coefficient k
0
Permittivity ε1
2.60153
Permittivity ε2
0
Absorption coefficient α
0 cm⁻¹
Penetration depth δ = λ/(2πk)
— nm
Abbe number Vd
36.996
Chromatic dispersion dn/dλ
-0.0840988 µm⁻¹
Group index ng
1.66234
Group velocity dispersion
162.327 fs²/mm
Dispersion parameter D
-885.581 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-F3 (HIKARI): E-F3
hikari_e_f3 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-F3", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_f3.range_nm)  # (400, 700) nm
eps = hikari_e_f3.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=2.52228312−0.00104823034⁢λ2.0+0.029395765⁢λ−2.0−0.00139163033⁢λ−4.0+0.000289680505⁢λ−6.0−1.26508887×10-5⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.52228312
C2-0.00104823034
C32.0
C40.029395765
C5-2.0
C6-0.00139163033
C7-4.0
C80.000289680505
C9-6.0
C10-1.26508887e-05
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.612930
Vd
36.996203
glass status
preferred
density
value: 2670
thermal expansion
value: 8.3e-06, temperature range: 243 343
dPgF
-0.0004

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-F3 (HIKARI), E-F3: n and k versus wavelength
λ (µm)nk
0.41.6440490
0.4005611.643870
0.4011241.6436920
0.4016871.6435140
0.402251.6433380
0.4028151.6431610
0.403381.6429860
0.4039461.6428110
0.4045131.6426370
0.4050811.6424630
0.405651.642290
0.4062191.6421180
0.4067891.6419460
0.407361.6417760
0.4079321.6416050
0.4085041.6414360
0.4090781.6412670
0.4096521.6410980
0.4102271.6409310
0.4108031.6407640
0.4113791.6405970
0.4119571.6404310
0.4125351.6402660
0.4131141.6401020
0.4136941.6399380
0.4142741.6397740
0.4148561.6396120
0.4154381.639450
0.4160211.6392880
0.4166051.6391270
0.417191.6389670
0.4177751.6388080
0.4183621.6386490
0.4189491.638490
0.4195371.6383320
0.4201261.6381750
0.4207151.6380180
0.4213061.6378620
0.4218971.6377070
0.4224891.6375520
0.4230821.6373980
0.4236761.6372440
0.4242711.6370910
0.4248661.6369380
0.4254621.6367860
0.426061.6366350
0.4266581.6364840
0.4272561.6363340
0.4278561.6361840
0.4284571.6360350
0.4290581.6358860
0.429661.6357380
0.4302631.6355910
0.4308671.6354440
0.4314721.6352980
0.4320771.6351520
0.4326841.6350070
0.4332911.6348620
0.4338991.6347180
0.4345081.6345740
0.4351181.6344310
0.4357291.6342880
0.436341.6341460
0.4369531.6340050
0.4375661.6338640
0.438181.6337230
0.4387951.6335830
0.4394111.6334440
0.4400281.6333050
0.4406451.6331660
0.4412641.6330280
0.4418831.6328910
0.4425031.6327540
0.4431241.6326180
0.4437461.6324820
0.4443691.6323460
0.4449931.6322120
0.4456171.6320770
0.4462431.6319430
0.4468691.631810
0.4474961.6316770
0.4481241.6315440
0.4487531.6314130
0.4493831.6312810
0.4500141.631150
0.4506451.631020
0.4512781.630890
0.4519111.630760
0.4525461.6306310
0.4531811.6305020
0.4538171.6303740
0.4544541.6302470
0.4550921.6301190
0.455731.6299930
0.456371.6298660
0.4570111.629740
0.4576521.6296150
0.4582941.629490
0.4589381.6293660
0.4595821.6292420
0.4602271.6291180
0.4608731.6289950
0.4615191.6288720
0.4621671.628750
0.4628161.6286280
0.4634651.6285070
0.4641161.6283860
0.4647671.6282650
0.465421.6281450
0.4660731.6280260
0.4667271.6279060
0.4673821.6277880
0.4680381.6276690
0.4686951.6275510
0.4693531.6274340
0.4700121.6273170
0.4706711.62720
0.4713321.6270840
0.4719931.6269680
0.4726561.6268520
0.4733191.6267370
0.4739841.6266230
0.4746491.6265090
0.4753151.6263950
0.4759821.6262810
0.476651.6261680
0.4773191.6260560
0.4779891.6259430
0.478661.6258320
0.4793321.625720
0.4800051.6256090
0.4806781.6254980
0.4813531.6253880
0.4820281.6252780
0.4827051.6251690
0.4833821.625060
0.4840611.6249510
0.484741.6248430
0.4854211.6247350
0.4861021.6246270
0.4867841.624520
0.4874671.6244130
0.4881521.6243060
0.4888371.62420
0.4895231.6240940
0.490211.6239890
0.4908981.6238840
0.4915871.6237790
0.4922771.6236750
0.4929681.6235710
0.493661.6234670
0.4943531.6233640
0.4950461.6232610
0.4957411.6231590
0.4964371.6230570
0.4971341.6229550
0.4978321.6228530
0.498531.6227520
0.499231.6226510
0.4999311.6225510
0.5006321.6224510
0.5013351.6223510
0.5020391.6222510
0.5027431.6221520
0.5034491.6220540
0.5041551.6219550
0.5048631.6218570
0.5055721.6217590
0.5062811.6216620
0.5069921.6215650
0.5077031.6214680
0.5084161.6213720
0.509131.6212750
0.5098441.621180
0.510561.6210840
0.5112761.6209890
0.5119941.6208940
0.5127121.62080
0.5134321.6207050
0.5141531.6206110
0.5148741.6205180
0.5155971.6204250
0.5163211.6203320
0.5170451.6202390
0.5177711.6201470
0.5184981.6200540
0.5192251.6199630
0.5199541.6198710
0.5206841.619780
0.5214151.6196890
0.5221471.6195990
0.5228791.6195080
0.5236131.6194190
0.5243481.6193290
0.5250841.619240
0.5258211.619150
0.5265591.6190620
0.5272981.6189730
0.5280381.6188850
0.5287791.6187970
0.5295211.6187090
0.5302651.6186220
0.5310091.6185350
0.5317541.6184480
0.5325011.6183620
0.5332481.6182760
0.5339961.618190
0.5347461.6181040
0.5354961.6180190
0.5362481.6179330
0.5370011.6178490
0.5377541.6177640
0.5385091.617680
0.5392651.6175960
0.5400221.6175120
0.540781.6174290
0.5415391.6173450
0.5422991.6172620
0.543061.617180
0.5438221.6170970
0.5445851.6170150
0.545351.6169330
0.5461151.6168520
0.5468821.616770
0.5476491.6166890
0.5484181.6166080
0.5491871.6165280
0.5499581.6164470
0.550731.6163670
0.5515031.6162880
0.5522771.6162080
0.5530521.6161290
0.5538291.616050
0.5546061.6159710
0.5553841.6158920
0.5561641.6158140
0.5569441.6157360
0.5577261.6156580
0.5585091.615580
0.5592931.6155030
0.5600781.6154260
0.5608641.6153490
0.5616511.6152720
0.5624391.6151960
0.5632291.615120
0.5640191.6150440
0.5648111.6149680
0.5656041.6148930
0.5663971.6148170
0.5671921.6147420
0.5679881.6146680
0.5687861.6145930
0.5695841.6145190
0.5703831.6144450
0.5711841.6143710
0.5719861.6142970
0.5727881.6142240
0.5735921.6141510
0.5743971.6140780
0.5752041.6140050
0.5760111.6139330
0.5768191.613860
0.5776291.6137880
0.578441.6137170
0.5792511.6136450
0.5800641.6135740
0.5808791.6135020
0.5816941.6134320
0.582511.6133610
0.5833281.613290
0.5841471.613220
0.5849661.613150
0.5857871.613080
0.586611.613010
0.5874331.6129410
0.5882571.6128720
0.5890831.6128030
0.589911.6127340
0.5907381.6126650
0.5915671.6125970
0.5923971.6125280
0.5932291.612460
0.5940611.6123930
0.5948951.6123250
0.595731.6122580
0.5965661.6121910
0.5974031.6121240
0.5982421.6120570
0.5990821.611990
0.5999221.6119240
0.6007641.6118580
0.6016081.6117920
0.6024521.6117260
0.6032981.611660
0.6041441.6115950
0.6049921.611530
0.6058411.6114640
0.6066921.61140
0.6075431.6113350
0.6083961.6112710
0.609251.6112060
0.6101051.6111420
0.6109611.6110780
0.6118191.6110150
0.6126771.6109510
0.6135371.6108880
0.6143981.6108250
0.6152611.6107620
0.6161241.6106990
0.6169891.6106360
0.6178551.6105740
0.6187221.6105120
0.6195911.610450
0.620461.6103880
0.6213311.6103260
0.6222031.6102650
0.6230761.6102030
0.6239511.6101420
0.6248271.6100810
0.6257041.6100210
0.6265821.609960
0.6274611.60990
0.6283421.6098390
0.6292241.6097790
0.6301071.6097190
0.6309911.609660
0.6318771.60960
0.6327641.6095410
0.6336521.6094820
0.6345411.6094220
0.6354321.6093640
0.6363241.6093050
0.6372171.6092460
0.6381111.6091880
0.6390071.609130
0.6399041.6090720
0.6408021.6090140
0.6417011.6089560
0.6426021.6088990
0.6435041.6088410
0.6444071.6087840
0.6453111.6087270
0.6462171.608670
0.6471241.6086140
0.6480321.6085570
0.6489421.6085010
0.6498521.6084440
0.6507651.6083880
0.6516781.6083320
0.6525931.6082770
0.6535091.6082210
0.6544261.6081660
0.6553441.608110
0.6562641.6080550
0.6571851.6080
0.6581081.6079450
0.6590311.6078910
0.6599561.6078360
0.6608821.6077820
0.661811.6077280
0.6627391.6076740
0.6636691.607620
0.6646011.6075660
0.6655331.6075120
0.6664671.6074590
0.6674031.6074060
0.668341.6073530
0.6692781.60730
0.6702171.6072470
0.6711581.6071940
0.67211.6071420
0.6730431.6070890
0.6739881.6070370
0.6749331.6069850
0.6758811.6069330
0.6768291.6068810
0.6777791.6068290
0.6787311.6067780
0.6796831.6067260
0.6806371.6066750
0.6815921.6066240
0.6825491.6065730
0.6835071.6065220
0.6844661.6064720
0.6854271.6064210
0.6863891.6063710
0.6873521.6063210
0.6883171.606270
0.6892831.606220
0.6902511.6061710
0.6912191.6061210
0.692191.6060710
0.6931611.6060220
0.6941341.6059730
0.6951081.6059240
0.6960841.6058750
0.6970611.6058260
0.6980391.6057770
0.6990191.6057280
0.71.605680

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
—