Optical constants

Refractive index of E-LASF04 (HIKARI)

E-LASF04: 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
1.81554
Extinction coefficient k
0
Permittivity ε1
3.29617
Permittivity ε2
0
Absorption coefficient α
0 cm⁻¹
Penetration depth δ = λ/(2πk)
— nm
Abbe number Vd
44.342
Chromatic dispersion dn/dλ
-0.0942469 µm⁻¹
Group index ng
1.87092
Group velocity dispersion
173.79 fs²/mm
Dispersion parameter D
-948.119 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-LASF04 (HIKARI): E-LASF04
hikari_e_lasf04 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-LASF04", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_lasf04.range_nm)  # (400, 700) nm
eps = hikari_e_lasf04.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=3.20360786−0.00877554777⁢λ2.0+0.0332446054⁢λ−2.0−0.000432887979⁢λ−4.0+0.000134715955⁢λ−6.0−4.716471×10-6⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C13.20360786
C2-0.00877554777
C32.0
C40.0332446054
C5-2.0
C6-0.000432887979
C7-4.0
C80.000134715955
C9-6.0
C10-4.716471e-06
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.815540
Vd
44.342093
glass status
preferred
density
value: 4560
thermal expansion
value: 7.6e-06, temperature range: 243 343
dPgF
-0.009

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-LASF04 (HIKARI), E-LASF04: n and k versus wavelength
λ (µm)nk
0.41.848990
0.4005611.8488050
0.4011241.848620
0.4016871.8484350
0.402251.8482520
0.4028151.8480690
0.403381.8478860
0.4039461.8477040
0.4045131.8475230
0.4050811.8473430
0.405651.8471630
0.4062191.8469840
0.4067891.8468050
0.407361.8466270
0.4079321.846450
0.4085041.8462730
0.4090781.8460970
0.4096521.8459210
0.4102271.8457460
0.4108031.8455720
0.4113791.8453980
0.4119571.8452250
0.4125351.8450530
0.4131141.8448810
0.4136941.844710
0.4142741.8445390
0.4148561.8443690
0.4154381.84420
0.4160211.8440310
0.4166051.8438630
0.417191.8436950
0.4177751.8435280
0.4183621.8433610
0.4189491.8431950
0.4195371.843030
0.4201261.8428650
0.4207151.8427010
0.4213061.8425370
0.4218971.8423740
0.4224891.8422120
0.4230821.842050
0.4236761.8418880
0.4242711.8417270
0.4248661.8415670
0.4254621.8414070
0.426061.8412480
0.4266581.8410890
0.4272561.8409310
0.4278561.8407740
0.4284571.8406170
0.4290581.840460
0.429661.8403040
0.4302631.8401490
0.4308671.8399940
0.4314721.839840
0.4320771.8396860
0.4326841.8395320
0.4332911.839380
0.4338991.8392270
0.4345081.8390760
0.4351181.8389240
0.4357291.8387740
0.436341.8386230
0.4369531.8384740
0.4375661.8383240
0.438181.8381760
0.4387951.8380280
0.4394111.837880
0.4400281.8377330
0.4406451.8375860
0.4412641.837440
0.4418831.8372940
0.4425031.8371490
0.4431241.8370040
0.4437461.836860
0.4443691.8367160
0.4449931.8365730
0.4456171.836430
0.4462431.8362870
0.4468691.8361460
0.4474961.8360040
0.4481241.8358630
0.4487531.8357230
0.4493831.8355830
0.4500141.8354430
0.4506451.8353040
0.4512781.8351660
0.4519111.8350280
0.4525461.834890
0.4531811.8347530
0.4538171.8346160
0.4544541.834480
0.4550921.8343440
0.455731.8342080
0.456371.8340730
0.4570111.8339390
0.4576521.8338050
0.4582941.8336710
0.4589381.8335380
0.4595821.8334050
0.4602271.8332730
0.4608731.8331410
0.4615191.833010
0.4621671.8328790
0.4628161.8327480
0.4634651.8326180
0.4641161.8324880
0.4647671.8323590
0.465421.832230
0.4660731.8321010
0.4667271.8319730
0.4673821.8318460
0.4680381.8317180
0.4686951.8315920
0.4693531.8314650
0.4700121.8313390
0.4706711.8312140
0.4713321.8310880
0.4719931.8309640
0.4726561.8308390
0.4733191.8307150
0.4739841.8305920
0.4746491.8304690
0.4753151.8303460
0.4759821.8302230
0.476651.8301010
0.4773191.829980
0.4779891.8298590
0.478661.8297380
0.4793321.8296170
0.4800051.8294970
0.4806781.8293780
0.4813531.8292580
0.4820281.8291390
0.4827051.8290210
0.4833821.8289030
0.4840611.8287850
0.484741.8286670
0.4854211.828550
0.4861021.8284340
0.4867841.8283180
0.4874671.8282020
0.4881521.8280860
0.4888371.8279710
0.4895231.8278560
0.490211.8277420
0.4908981.8276270
0.4915871.8275140
0.4922771.82740
0.4929681.8272870
0.493661.8271750
0.4943531.8270620
0.4950461.826950
0.4957411.8268390
0.4964371.8267270
0.4971341.8266170
0.4978321.8265060
0.498531.8263960
0.499231.8262860
0.4999311.8261760
0.5006321.8260670
0.5013351.8259580
0.5020391.825850
0.5027431.8257420
0.5034491.8256340
0.5041551.8255260
0.5048631.8254190
0.5055721.8253120
0.5062811.8252060
0.5069921.82510
0.5077031.8249940
0.5084161.8248880
0.509131.8247830
0.5098441.8246780
0.510561.8245730
0.5112761.8244690
0.5119941.8243650
0.5127121.8242620
0.5134321.8241580
0.5141531.8240550
0.5148741.8239530
0.5155971.8238510
0.5163211.8237480
0.5170451.8236470
0.5177711.8235450
0.5184981.8234440
0.5192251.8233440
0.5199541.8232430
0.5206841.8231430
0.5214151.8230430
0.5221471.8229430
0.5228791.8228440
0.5236131.8227450
0.5243481.8226470
0.5250841.8225480
0.5258211.822450
0.5265591.8223520
0.5272981.8222550
0.5280381.8221580
0.5287791.8220610
0.5295211.8219640
0.5302651.8218680
0.5310091.8217720
0.5317541.8216760
0.5325011.8215810
0.5332481.8214860
0.5339961.8213910
0.5347461.8212960
0.5354961.8212020
0.5362481.8211080
0.5370011.8210140
0.5377541.8209210
0.5385091.8208270
0.5392651.8207340
0.5400221.8206420
0.540781.8205490
0.5415391.8204570
0.5422991.8203660
0.543061.8202740
0.5438221.8201830
0.5445851.8200920
0.545351.8200010
0.5461151.8199110
0.5468821.819820
0.5476491.8197310
0.5484181.8196410
0.5491871.8195510
0.5499581.8194620
0.550731.8193730
0.5515031.8192850
0.5522771.8191960
0.5530521.8191080
0.5538291.8190210
0.5546061.8189330
0.5553841.8188460
0.5561641.8187590
0.5569441.8186720
0.5577261.8185850
0.5585091.8184990
0.5592931.8184130
0.5600781.8183270
0.5608641.8182420
0.5616511.8181560
0.5624391.8180710
0.5632291.8179860
0.5640191.8179020
0.5648111.8178170
0.5656041.8177330
0.5663971.817650
0.5671921.8175660
0.5679881.8174830
0.5687861.8173990
0.5695841.8173170
0.5703831.8172340
0.5711841.8171520
0.5719861.8170690
0.5727881.8169870
0.5735921.8169060
0.5743971.8168240
0.5752041.8167430
0.5760111.8166620
0.5768191.8165810
0.5776291.8165010
0.578441.8164210
0.5792511.816340
0.5800641.8162610
0.5808791.8161810
0.5816941.8161020
0.582511.8160220
0.5833281.8159440
0.5841471.8158650
0.5849661.8157860
0.5857871.8157080
0.586611.815630
0.5874331.8155520
0.5882571.8154750
0.5890831.8153970
0.589911.815320
0.5907381.8152430
0.5915671.8151660
0.5923971.815090
0.5932291.8150130
0.5940611.8149370
0.5948951.8148620
0.595731.8147860
0.5965661.814710
0.5974031.8146350
0.5982421.814560
0.5990821.8144850
0.5999221.8144110
0.6007641.8143360
0.6016081.8142620
0.6024521.8141880
0.6032981.8141140
0.6041441.8140410
0.6049921.8139670
0.6058411.8138940
0.6066921.8138210
0.6075431.8137480
0.6083961.8136760
0.609251.8136040
0.6101051.8135310
0.6109611.8134590
0.6118191.8133880
0.6126771.8133160
0.6135371.8132450
0.6143981.8131730
0.6152611.8131030
0.6161241.8130320
0.6169891.8129610
0.6178551.8128910
0.6187221.8128210
0.6195911.8127510
0.620461.8126810
0.6213311.8126110
0.6222031.8125420
0.6230761.8124720
0.6239511.8124030
0.6248271.8123340
0.6257041.8122660
0.6265821.8121970
0.6274611.8121290
0.6283421.8120610
0.6292241.8119930
0.6301071.8119250
0.6309911.8118570
0.6318771.811790
0.6327641.8117230
0.6336521.8116560
0.6345411.8115890
0.6354321.8115220
0.6363241.8114560
0.6372171.811390
0.6381111.8113230
0.6390071.8112570
0.6399041.8111920
0.6408021.8111260
0.6417011.8110610
0.6426021.8109950
0.6435041.810930
0.6444071.8108650
0.6453111.8108010
0.6462171.8107360
0.6471241.8106720
0.6480321.8106070
0.6489421.8105430
0.6498521.810480
0.6507651.8104160
0.6516781.8103520
0.6525931.8102890
0.6535091.8102260
0.6544261.8101630
0.6553441.81010
0.6562641.8100370
0.6571851.8099750
0.6581081.8099120
0.6590311.809850
0.6599561.8097880
0.6608821.8097260
0.661811.8096640
0.6627391.8096030
0.6636691.8095410
0.6646011.809480
0.6655331.8094190
0.6664671.8093580
0.6674031.8092970
0.668341.8092370
0.6692781.8091760
0.6702171.8091160
0.6711581.8090560
0.67211.8089960
0.6730431.8089360
0.6739881.8088770
0.6749331.8088170
0.6758811.8087580
0.6768291.8086980
0.6777791.8086390
0.6787311.8085810
0.6796831.8085220
0.6806371.8084630
0.6815921.8084050
0.6825491.8083460
0.6835071.8082880
0.6844661.808230
0.6854271.8081730
0.6863891.8081150
0.6873521.8080570
0.6883171.8080
0.6892831.8079430
0.6902511.8078860
0.6912191.8078290
0.692191.8077720
0.6931611.8077150
0.6941341.8076590
0.6951081.8076020
0.6960841.8075460
0.6970611.807490
0.6980391.8074340
0.6990191.8073780
0.71.8073220

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
—