Optical constants

Refractive index of E-LASF09 (HIKARI)

E-LASF09: 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
1.816
Extinction coefficient k
0
Permittivity ε1
3.29784
Permittivity ε2
0
Absorption coefficient α
0 cm⁻¹
Penetration depth δ = λ/(2πk)
— nm
Abbe number Vd
46.623
Chromatic dispersion dn/dλ
-0.0898041 µm⁻¹
Group index ng
1.86877
Group velocity dispersion
164.411 fs²/mm
Dispersion parameter D
-896.949 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-LASF09 (HIKARI): E-LASF09
hikari_e_lasf09 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-LASF09", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_lasf09.range_nm)  # (400, 700) nm
eps = hikari_e_lasf09.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=3.21588388−0.0133880786⁢λ2.0+0.0285023144⁢λ−2.0+0.000406364414⁢λ−4.0+2.70180277×10-5⁢λ−6.0−4.64955706×10-7⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C13.21588388
C2-0.0133880786
C32.0
C40.0285023144
C5-2.0
C60.000406364414
C7-4.0
C82.70180277e-05
C9-6.0
C10-4.64955706e-07
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.816000
Vd
46.623347
glass status
preferred
density
value: 4980
thermal expansion
value: 7.7e-06, temperature range: 243 343
dPgF
-0.0092

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-LASF09 (HIKARI), E-LASF09: n and k versus wavelength
λ (µm)nk
0.41.8476040
0.4005611.8474310
0.4011241.8472580
0.4016871.8470850
0.402251.8469140
0.4028151.8467430
0.403381.8465720
0.4039461.8464020
0.4045131.8462330
0.4050811.8460640
0.405651.8458950
0.4062191.8457280
0.4067891.8455610
0.407361.8453940
0.4079321.8452280
0.4085041.8450630
0.4090781.8448980
0.4096521.8447330
0.4102271.844570
0.4108031.8444060
0.4113791.8442440
0.4119571.8440820
0.4125351.843920
0.4131141.8437590
0.4136941.8435990
0.4142741.8434390
0.4148561.8432790
0.4154381.843120
0.4160211.8429620
0.4166051.8428040
0.417191.8426470
0.4177751.842490
0.4183621.8423340
0.4189491.8421780
0.4195371.8420230
0.4201261.8418690
0.4207151.8417140
0.4213061.8415610
0.4218971.8414080
0.4224891.8412550
0.4230821.8411030
0.4236761.8409510
0.4242711.84080
0.4248661.840650
0.4254621.84050
0.426061.840350
0.4266581.8402010
0.4272561.8400520
0.4278561.8399040
0.4284571.8397570
0.4290581.839610
0.429661.8394630
0.4302631.8393170
0.4308671.8391710
0.4314721.8390260
0.4320771.8388810
0.4326841.8387370
0.4332911.8385930
0.4338991.838450
0.4345081.8383070
0.4351181.8381650
0.4357291.8380230
0.436341.8378820
0.4369531.8377410
0.4375661.83760
0.438181.837460
0.4387951.8373210
0.4394111.8371810
0.4400281.8370430
0.4406451.8369050
0.4412641.8367670
0.4418831.8366290
0.4425031.8364930
0.4431241.8363560
0.4437461.836220
0.4443691.8360850
0.4449931.835950
0.4456171.8358150
0.4462431.8356810
0.4468691.8355470
0.4474961.8354140
0.4481241.8352810
0.4487531.8351480
0.4493831.8350160
0.4500141.8348850
0.4506451.8347530
0.4512781.8346230
0.4519111.8344920
0.4525461.8343620
0.4531811.8342330
0.4538171.8341040
0.4544541.8339750
0.4550921.8338470
0.455731.8337190
0.456371.8335910
0.4570111.8334640
0.4576521.8333380
0.4582941.8332110
0.4589381.8330860
0.4595821.832960
0.4602271.8328350
0.4608731.8327110
0.4615191.8325860
0.4621671.8324620
0.4628161.8323390
0.4634651.8322160
0.4641161.8320930
0.4647671.8319710
0.465421.8318490
0.4660731.8317280
0.4667271.8316070
0.4673821.8314860
0.4680381.8313660
0.4686951.8312460
0.4693531.8311260
0.4700121.8310070
0.4706711.8308880
0.4713321.830770
0.4719931.8306510
0.4726561.8305340
0.4733191.8304160
0.4739841.8302990
0.4746491.8301830
0.4753151.8300670
0.4759821.8299510
0.476651.8298350
0.4773191.829720
0.4779891.8296050
0.478661.8294910
0.4793321.8293770
0.4800051.8292630
0.4806781.829150
0.4813531.8290370
0.4820281.8289240
0.4827051.8288120
0.4833821.82870
0.4840611.8285880
0.484741.8284770
0.4854211.8283660
0.4861021.8282560
0.4867841.8281450
0.4874671.8280360
0.4881521.8279260
0.4888371.8278170
0.4895231.8277080
0.490211.8275990
0.4908981.8274910
0.4915871.8273830
0.4922771.8272760
0.4929681.8271690
0.493661.8270620
0.4943531.8269550
0.4950461.8268490
0.4957411.8267430
0.4964371.8266380
0.4971341.8265330
0.4978321.8264280
0.498531.8263230
0.499231.8262190
0.4999311.8261150
0.5006321.8260110
0.5013351.8259080
0.5020391.8258050
0.5027431.8257020
0.5034491.82560
0.5041551.8254980
0.5048631.8253960
0.5055721.8252950
0.5062811.8251940
0.5069921.8250930
0.5077031.8249920
0.5084161.8248920
0.509131.8247920
0.5098441.8246930
0.510561.8245930
0.5112761.8244940
0.5119941.8243960
0.5127121.8242970
0.5134321.8241990
0.5141531.8241010
0.5148741.8240040
0.5155971.8239070
0.5163211.823810
0.5170451.8237130
0.5177711.8236170
0.5184981.8235210
0.5192251.8234250
0.5199541.823330
0.5206841.8232340
0.5214151.823140
0.5221471.8230450
0.5228791.8229510
0.5236131.8228570
0.5243481.8227630
0.5250841.8226690
0.5258211.8225760
0.5265591.8224830
0.5272981.8223910
0.5280381.8222980
0.5287791.8222060
0.5295211.8221140
0.5302651.8220230
0.5310091.8219310
0.5317541.821840
0.5325011.821750
0.5332481.8216590
0.5339961.8215690
0.5347461.8214790
0.5354961.8213890
0.5362481.82130
0.5370011.8212110
0.5377541.8211220
0.5385091.8210330
0.5392651.8209450
0.5400221.8208570
0.540781.8207690
0.5415391.8206810
0.5422991.8205940
0.543061.8205070
0.5438221.820420
0.5445851.8203340
0.545351.8202470
0.5461151.8201610
0.5468821.8200750
0.5476491.819990
0.5484181.8199050
0.5491871.819820
0.5499581.8197350
0.550731.819650
0.5515031.8195660
0.5522771.8194820
0.5530521.8193980
0.5538291.8193140
0.5546061.8192310
0.5553841.8191480
0.5561641.8190650
0.5569441.8189820
0.5577261.81890
0.5585091.8188180
0.5592931.8187360
0.5600781.8186540
0.5608641.8185730
0.5616511.8184920
0.5624391.8184110
0.5632291.818330
0.5640191.8182490
0.5648111.8181690
0.5656041.8180890
0.5663971.8180090
0.5671921.817930
0.5679881.817850
0.5687861.8177710
0.5695841.8176920
0.5703831.8176140
0.5711841.8175350
0.5719861.8174570
0.5727881.8173790
0.5735921.8173010
0.5743971.8172230
0.5752041.8171460
0.5760111.8170690
0.5768191.8169920
0.5776291.8169150
0.578441.8168390
0.5792511.8167630
0.5800641.8166870
0.5808791.8166110
0.5816941.8165350
0.582511.816460
0.5833281.8163840
0.5841471.8163090
0.5849661.8162350
0.5857871.816160
0.586611.8160860
0.5874331.8160120
0.5882571.8159380
0.5890831.8158640
0.589911.815790
0.5907381.8157170
0.5915671.8156440
0.5923971.8155710
0.5932291.8154980
0.5940611.8154260
0.5948951.8153530
0.595731.8152810
0.5965661.8152090
0.5974031.8151380
0.5982421.8150660
0.5990821.8149950
0.5999221.8149240
0.6007641.8148530
0.6016081.8147820
0.6024521.8147110
0.6032981.8146410
0.6041441.8145710
0.6049921.8145010
0.6058411.8144310
0.6066921.8143620
0.6075431.8142920
0.6083961.8142230
0.609251.8141540
0.6101051.8140850
0.6109611.8140170
0.6118191.8139480
0.6126771.813880
0.6135371.8138120
0.6143981.8137440
0.6152611.8136760
0.6161241.8136090
0.6169891.8135410
0.6178551.8134740
0.6187221.8134070
0.6195911.813340
0.620461.8132740
0.6213311.8132070
0.6222031.8131410
0.6230761.8130750
0.6239511.8130090
0.6248271.8129430
0.6257041.8128780
0.6265821.8128120
0.6274611.8127470
0.6283421.8126820
0.6292241.8126170
0.6301071.8125530
0.6309911.8124880
0.6318771.8124240
0.6327641.812360
0.6336521.8122960
0.6345411.8122320
0.6354321.8121680
0.6363241.8121050
0.6372171.8120410
0.6381111.8119780
0.6390071.8119150
0.6399041.8118520
0.6408021.811790
0.6417011.8117270
0.6426021.8116650
0.6435041.8116030
0.6444071.8115410
0.6453111.8114790
0.6462171.8114170
0.6471241.8113560
0.6480321.8112940
0.6489421.8112330
0.6498521.8111720
0.6507651.8111110
0.6516781.811050
0.6525931.810990
0.6535091.810930
0.6544261.8108690
0.6553441.8108090
0.6562641.8107490
0.6571851.8106890
0.6581081.810630
0.6590311.810570
0.6599561.8105110
0.6608821.8104520
0.661811.8103930
0.6627391.8103340
0.6636691.8102750
0.6646011.8102170
0.6655331.8101580
0.6664671.81010
0.6674031.8100420
0.668341.8099840
0.6692781.8099260
0.6702171.8098680
0.6711581.8098110
0.67211.8097530
0.6730431.8096960
0.6739881.8096390
0.6749331.8095820
0.6758811.8095250
0.6768291.8094690
0.6777791.8094120
0.6787311.8093560
0.6796831.8092990
0.6806371.8092430
0.6815921.8091870
0.6825491.8091320
0.6835071.8090760
0.6844661.809020
0.6854271.8089650
0.6863891.808910
0.6873521.8088540
0.6883171.8087990
0.6892831.8087450
0.6902511.808690
0.6912191.8086350
0.692191.8085810
0.6931611.8085260
0.6941341.8084720
0.6951081.8084180
0.6960841.8083640
0.6970611.808310
0.6980391.8082570
0.6990191.8082030
0.71.808150

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
—