Optical constants

Refractive index of E-SK18 (HIKARI)

E-SK18: 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
1.63854
Extinction coefficient k
0
Permittivity ε1
2.68481
Permittivity ε2
0
Absorption coefficient α
0 cm⁻¹
Penetration depth δ = λ/(2πk)
— nm
Abbe number Vd
55.48
Chromatic dispersion dn/dλ
-0.0592228 µm⁻¹
Group index ng
1.67334
Group velocity dispersion
106.103 fs²/mm
Dispersion parameter D
-578.85 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-SK18 (HIKARI): E-SK18
hikari_e_sk18 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-SK18", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_sk18.range_nm)  # (400, 700) nm
eps = hikari_e_sk18.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=2.65253732−0.0207076891⁢λ2.0+0.00823565189⁢λ−2.0+0.00259890034⁢λ−4.0−0.00030272324⁢λ−6.0+1.591967×10-5⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.65253732
C2-0.0207076891
C32.0
C40.00823565189
C5-2.0
C60.00259890034
C7-4.0
C8-0.00030272324
C9-6.0
C101.591967e-05
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.638540
Vd
55.479598
glass status
preferred
density
value: 3670
thermal expansion
value: 8.1e-06, temperature range: 243 343
dPgF
-0.0021

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-SK18 (HIKARI), E-SK18: n and k versus wavelength
λ (µm)nk
0.41.6590960
0.4005611.6589840
0.4011241.6588720
0.4016871.658760
0.402251.6586490
0.4028151.6585380
0.403381.6584280
0.4039461.6583180
0.4045131.6582080
0.4050811.6580990
0.405651.657990
0.4062191.6578820
0.4067891.6577730
0.407361.6576660
0.4079321.6575580
0.4085041.6574520
0.4090781.6573450
0.4096521.6572390
0.4102271.6571330
0.4108031.6570280
0.4113791.6569220
0.4119571.6568180
0.4125351.6567130
0.4131141.6566090
0.4136941.6565060
0.4142741.6564030
0.4148561.65630
0.4154381.6561970
0.4160211.6560950
0.4166051.6559930
0.417191.6558910
0.4177751.655790
0.4183621.6556890
0.4189491.6555890
0.4195371.6554890
0.4201261.6553890
0.4207151.655290
0.4213061.655190
0.4218971.6550920
0.4224891.6549930
0.4230821.6548950
0.4236761.6547970
0.4242711.65470
0.4248661.6546020
0.4254621.6545060
0.426061.6544090
0.4266581.6543130
0.4272561.6542170
0.4278561.6541210
0.4284571.6540260
0.4290581.6539310
0.429661.6538360
0.4302631.6537420
0.4308671.6536480
0.4314721.6535540
0.4320771.6534610
0.4326841.6533680
0.4332911.6532750
0.4338991.6531820
0.4345081.653090
0.4351181.6529980
0.4357291.6529070
0.436341.6528150
0.4369531.6527240
0.4375661.6526340
0.438181.6525430
0.4387951.6524530
0.4394111.6523630
0.4400281.6522730
0.4406451.6521840
0.4412641.6520950
0.4418831.6520060
0.4425031.6519180
0.4431241.651830
0.4437461.6517420
0.4443691.6516540
0.4449931.6515670
0.4456171.651480
0.4462431.6513930
0.4468691.6513060
0.4474961.651220
0.4481241.6511340
0.4487531.6510480
0.4493831.6509630
0.4500141.6508780
0.4506451.6507930
0.4512781.6507080
0.4519111.6506240
0.4525461.650540
0.4531811.6504560
0.4538171.6503720
0.4544541.6502890
0.4550921.6502060
0.455731.6501230
0.456371.650040
0.4570111.6499580
0.4576521.6498760
0.4582941.6497940
0.4589381.6497120
0.4595821.6496310
0.4602271.649550
0.4608731.6494690
0.4615191.6493890
0.4621671.6493080
0.4628161.6492280
0.4634651.6491490
0.4641161.6490690
0.4647671.648990
0.465421.648910
0.4660731.6488320
0.4667271.6487530
0.4673821.6486750
0.4680381.6485960
0.4686951.6485190
0.4693531.6484410
0.4700121.6483630
0.4706711.6482860
0.4713321.6482090
0.4719931.6481330
0.4726561.6480560
0.4733191.647980
0.4739841.6479040
0.4746491.6478280
0.4753151.6477520
0.4759821.6476770
0.476651.6476020
0.4773191.6475270
0.4779891.6474520
0.478661.6473780
0.4793321.6473040
0.4800051.647230
0.4806781.6471560
0.4813531.6470820
0.4820281.6470090
0.4827051.6469360
0.4833821.6468630
0.4840611.646790
0.484741.6467180
0.4854211.6466460
0.4861021.6465740
0.4867841.6465020
0.4874671.646430
0.4881521.6463590
0.4888371.6462880
0.4895231.6462170
0.490211.6461460
0.4908981.6460760
0.4915871.6460050
0.4922771.6459350
0.4929681.6458650
0.493661.6457950
0.4943531.6457260
0.4950461.6456570
0.4957411.6455880
0.4964371.6455190
0.4971341.645450
0.4978321.6453820
0.498531.6453130
0.499231.6452450
0.4999311.6451770
0.5006321.645110
0.5013351.6450420
0.5020391.6449750
0.5027431.6449080
0.5034491.6448410
0.5041551.6447740
0.5048631.6447080
0.5055721.6446420
0.5062811.6445760
0.5069921.644510
0.5077031.6444440
0.5084161.6443780
0.509131.6443130
0.5098441.6442480
0.510561.6441830
0.5112761.6441180
0.5119941.6440540
0.5127121.6439890
0.5134321.6439250
0.5141531.6438610
0.5148741.6437970
0.5155971.6437340
0.5163211.643670
0.5170451.6436070
0.5177711.6435440
0.5184981.6434810
0.5192251.6434190
0.5199541.6433560
0.5206841.6432940
0.5214151.6432320
0.5221471.643170
0.5228791.6431080
0.5236131.6430460
0.5243481.6429850
0.5250841.6429240
0.5258211.6428620
0.5265591.6428020
0.5272981.6427410
0.5280381.642680
0.5287791.642620
0.5295211.642560
0.5302651.64250
0.5310091.642440
0.5317541.642380
0.5325011.6423210
0.5332481.6422610
0.5339961.6422020
0.5347461.6421430
0.5354961.6420840
0.5362481.6420260
0.5370011.6419670
0.5377541.6419090
0.5385091.6418510
0.5392651.6417930
0.5400221.6417350
0.540781.6416770
0.5415391.641620
0.5422991.6415620
0.543061.6415050
0.5438221.6414480
0.5445851.6413910
0.545351.6413350
0.5461151.6412780
0.5468821.6412220
0.5476491.6411660
0.5484181.641110
0.5491871.6410540
0.5499581.6409980
0.550731.6409430
0.5515031.6408870
0.5522771.6408320
0.5530521.6407770
0.5538291.6407220
0.5546061.6406670
0.5553841.6406120
0.5561641.6405580
0.5569441.6405040
0.5577261.6404490
0.5585091.6403950
0.5592931.6403420
0.5600781.6402880
0.5608641.6402340
0.5616511.6401810
0.5624391.6401280
0.5632291.6400750
0.5640191.6400220
0.5648111.6399690
0.5656041.6399160
0.5663971.6398640
0.5671921.6398110
0.5679881.6397590
0.5687861.6397070
0.5695841.6396550
0.5703831.6396030
0.5711841.6395510
0.5719861.63950
0.5727881.6394490
0.5735921.6393970
0.5743971.6393460
0.5752041.6392950
0.5760111.6392450
0.5768191.6391940
0.5776291.6391430
0.578441.6390930
0.5792511.6390430
0.5800641.6389930
0.5808791.6389430
0.5816941.6388930
0.582511.6388430
0.5833281.6387930
0.5841471.6387440
0.5849661.6386950
0.5857871.6386460
0.586611.6385970
0.5874331.6385480
0.5882571.6384990
0.5890831.638450
0.589911.6384020
0.5907381.6383530
0.5915671.6383050
0.5923971.6382570
0.5932291.6382090
0.5940611.6381610
0.5948951.6381130
0.595731.6380660
0.5965661.6380180
0.5974031.6379710
0.5982421.6379240
0.5990821.6378770
0.5999221.637830
0.6007641.6377830
0.6016081.6377360
0.6024521.637690
0.6032981.6376430
0.6041441.6375970
0.6049921.637550
0.6058411.6375040
0.6066921.6374580
0.6075431.6374130
0.6083961.6373670
0.609251.6373210
0.6101051.6372760
0.6109611.637230
0.6118191.6371850
0.6126771.637140
0.6135371.6370950
0.6143981.637050
0.6152611.6370050
0.6161241.636960
0.6169891.6369160
0.6178551.6368710
0.6187221.6368270
0.6195911.6367830
0.620461.6367390
0.6213311.6366950
0.6222031.6366510
0.6230761.6366070
0.6239511.6365630
0.6248271.636520
0.6257041.6364760
0.6265821.6364330
0.6274611.636390
0.6283421.6363470
0.6292241.6363040
0.6301071.6362610
0.6309911.6362180
0.6318771.6361750
0.6327641.6361330
0.6336521.636090
0.6345411.6360480
0.6354321.6360060
0.6363241.6359630
0.6372171.6359210
0.6381111.6358790
0.6390071.6358370
0.6399041.6357960
0.6408021.6357540
0.6417011.6357130
0.6426021.6356710
0.6435041.635630
0.6444071.6355890
0.6453111.6355470
0.6462171.6355060
0.6471241.6354650
0.6480321.6354250
0.6489421.6353840
0.6498521.6353430
0.6507651.6353030
0.6516781.6352620
0.6525931.6352220
0.6535091.6351820
0.6544261.6351410
0.6553441.6351010
0.6562641.6350610
0.6571851.6350210
0.6581081.6349820
0.6590311.6349420
0.6599561.6349020
0.6608821.6348630
0.661811.6348230
0.6627391.6347840
0.6636691.6347450
0.6646011.6347060
0.6655331.6346670
0.6664671.6346280
0.6674031.6345890
0.668341.634550
0.6692781.6345110
0.6702171.6344730
0.6711581.6344340
0.67211.6343960
0.6730431.6343580
0.6739881.6343190
0.6749331.6342810
0.6758811.6342430
0.6768291.6342050
0.6777791.6341670
0.6787311.6341290
0.6796831.6340910
0.6806371.6340540
0.6815921.6340160
0.6825491.6339790
0.6835071.6339410
0.6844661.6339040
0.6854271.6338670
0.6863891.633830
0.6873521.6337920
0.6883171.6337550
0.6892831.6337180
0.6902511.6336820
0.6912191.6336450
0.692191.6336080
0.6931611.6335720
0.6941341.6335350
0.6951081.6334980
0.6960841.6334620
0.6970611.6334260
0.6980391.633390
0.6990191.6333530
0.71.6333170

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
—