Optical constants

Refractive index of J-SF15 (HIKARI)

J-SF15: n,k 0.3889–2.058 µm

Data
formula 3 + tabulated k
Range
0.3889–2.058 µm
Temperature
296 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.3889–2.058 µm
Refractive index n
1.69895
Extinction coefficient k
4.44668e-08
Permittivity ε1
2.88642
Permittivity ε2
1.51093e-07
Absorption coefficient α
0.00950963 cm⁻¹
Penetration depth δ = λ/(2πk)
2.10313e+09 nm
Abbe number Vd
30.131
Chromatic dispersion dn/dλ
-0.116716 µm⁻¹
Group index ng
1.76753
Group velocity dispersion
234.765 fs²/mm
Dispersion parameter D
-1280.77 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

# J-SF15 (HIKARI): J-SF15
hikari_j_sf15 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "J-SF15", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_j_sf15.range_nm)  # (388.865, 2058.09) nm
eps = hikari_j_sf15.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=2.79018804−0.0110845992⁢λ2.0+0.0297256583⁢λ−2.0+0.00219337541⁢λ−4.0−0.000359769888⁢λ−6.0+8.12762977×10-5⁢λ−8.0−8.02301606×10-6⁢λ−10.0+3.73019506×10-7⁢λ−12.0

Valid from 0.388865 to 2.05809 µm.

Coefficients as stored
CiValue
C12.79018804
C2-0.0110845992
C32.0
C40.0297256583
C5-2.0
C60.00219337541
C7-4.0
C8-0.000359769888
C9-6.0
C108.12762977e-05
C11-8.0
C12-8.02301606e-06
C13-10.0
C143.73019506e-07
C15-12.0

Comments and conditions

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: -4.3615e-06 9.57e-09 -2.0346e-12 9.2867e-07 1.24e-09 0.27618
nd
1.698950
Vd
30.130690
density
value: 2950
thermal expansion
value: 9.2e-06, temperature range: 243 343
dPgF
0.0083
resistance
phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = -8.27e-07 K⁻¹ at 633 nm, dn/dT = -2.03e-06 K⁻¹ at 1310 nm, dn/dT = -2.11e-06 K⁻¹ at 1550 nm

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 419 wavelengths, the same grid as the API and the library
J-SF15 (HIKARI), J-SF15: n and k versus wavelength
λ (µm)nk
0.3888651.7498951.039910e-06
0.391.7492679.344900e-07
0.3904921.7489969.158040e-07
0.3921271.7481118.537852e-07
0.3937681.7472397.915068e-07
0.3954151.7463797.289678e-07
0.397071.7455326.661671e-07
0.3987321.7446976.031035e-07
0.41.7440715.549800e-07
0.4004011.7438745.490104e-07
0.4020761.7430635.240415e-07
0.4037591.7422644.989682e-07
0.4054491.7414754.737900e-07
0.4071451.7406984.485064e-07
0.4088491.7399314.231170e-07
0.410561.7391753.976213e-07
0.4122781.7384293.720189e-07
0.4140041.7376933.463094e-07
0.4157361.7369683.204923e-07
0.4174761.7362512.945671e-07
0.4192231.7355452.685335e-07
0.421.7352342.569600e-07
0.4209781.7348472.529983e-07
0.4227391.7341592.458596e-07
0.4245091.733482.386911e-07
0.4262851.7328092.314925e-07
0.4280691.7321472.242639e-07
0.4298611.7314942.170050e-07
0.431661.7308482.097157e-07
0.4334661.7302112.023959e-07
0.435281.7295821.950455e-07
0.4371021.7289611.876643e-07
0.4389311.7283481.802522e-07
0.441.7279941.759200e-07
0.4407681.7277421.744648e-07
0.4426121.7271441.709684e-07
0.4444651.7265531.674573e-07
0.4463251.7259691.639316e-07
0.4481931.7253921.603911e-07
0.4500681.7248221.568358e-07
0.4519521.7242591.532656e-07
0.4538431.7237031.496805e-07
0.4557421.7231531.460804e-07
0.457651.722611.424652e-07
0.4595651.7220731.388349e-07
0.461.7219531.380100e-07
0.4614881.7215431.358129e-07
0.4634191.7210191.329613e-07
0.4653591.7205011.300978e-07
0.4673061.7199891.272224e-07
0.4692621.7194821.243348e-07
0.4712261.7189821.214353e-07
0.4731981.7184871.185235e-07
0.4751781.7179981.155996e-07
0.4771671.7175141.126635e-07
0.4791641.7170361.097150e-07
0.481.7168381.084800e-07
0.4811691.7165641.073131e-07
0.4831821.7160961.053026e-07
0.4852051.7156341.032838e-07
0.4872351.7151771.012565e-07
0.4892741.7147259.922072e-08
0.4913221.7142789.717642e-08
0.4933781.7138369.512356e-08
0.4954431.7133999.306211e-08
0.4975161.7129669.099204e-08
0.4995981.7125388.891330e-08
0.51.7124578.851200e-08
0.5016891.7121158.715752e-08
0.5037881.7116978.547366e-08
0.5058971.7112828.378274e-08
0.5080141.7108738.208475e-08
0.510141.7104678.037966e-08
0.5122751.7100667.866743e-08
0.5144191.709677.694803e-08
0.5165711.7092777.522144e-08
0.5187331.7088897.348762e-08
0.5209041.7085047.174655e-08
0.5230841.7081246.999819e-08
0.5252731.7077486.824251e-08
0.5274711.7073756.647949e-08
0.5296791.7070066.470909e-08
0.5318951.7066426.293128e-08
0.5341211.706286.114603e-08
0.5363571.7059235.935331e-08
0.5386011.7055695.755308e-08
0.5408551.7052195.574532e-08
0.5431191.7048735.393000e-08
0.5453921.7045295.210708e-08
0.5476741.704195.027653e-08
0.5499661.7038544.843832e-08
0.551.7038494.841100e-08
0.5522681.7035214.817314e-08
0.5545791.7031914.793069e-08
0.55691.7028654.768723e-08
0.559231.7025424.744276e-08
0.561571.7022224.719726e-08
0.5639211.7019054.695073e-08
0.5662811.7015924.670317e-08
0.568651.7012814.645457e-08
0.571031.7009734.620493e-08
0.573421.7006694.595425e-08
0.575821.7003674.570252e-08
0.5782291.7000694.544974e-08
0.5806491.6997734.519589e-08
0.5830791.699484.494099e-08
0.5855191.699194.468502e-08
0.587971.6989024.442798e-08
0.590431.6986184.416986e-08
0.5929011.6983364.391066e-08
0.5953821.6980574.365038e-08
0.5978741.697784.338901e-08
0.61.6975474.316600e-08
0.6003761.6975064.323236e-08
0.6028891.6972344.367557e-08
0.6054121.6969664.412063e-08
0.6079451.6966994.456756e-08
0.610491.6964354.501636e-08
0.6130441.6961744.546703e-08
0.615611.6959144.591960e-08
0.6181861.6956584.637405e-08
0.6207731.6954034.683041e-08
0.6233711.6951514.728868e-08
0.625981.6949024.774886e-08
0.62861.6946544.821098e-08
0.631231.6944094.867502e-08
0.6338721.6941664.914101e-08
0.6365251.6939254.960895e-08
0.6391881.6936865.007884e-08
0.6418631.693455.055071e-08
0.644551.6932155.102454e-08
0.6472471.6929835.150036e-08
0.6499561.6927535.197817e-08
0.651.6927495.198600e-08
0.6526761.6925245.189904e-08
0.6554071.6922985.181027e-08
0.658151.6920745.172113e-08
0.6609041.6918525.163161e-08
0.663671.6916315.154172e-08
0.6664471.6914135.145146e-08
0.6692361.6911965.136081e-08
0.6720371.6909815.126979e-08
0.674851.6907695.117839e-08
0.6776741.6905585.108660e-08
0.680511.6903485.099443e-08
0.6833581.6901415.090187e-08
0.6862171.6899355.080893e-08
0.6890891.6897315.071560e-08
0.6919731.6895295.062188e-08
0.6948691.6893295.052776e-08
0.6977771.689135.043325e-08
0.71.6889795.036100e-08
0.7006971.6889335.054568e-08
0.7036291.6887375.132261e-08
0.7065741.6885435.210279e-08
0.7095311.6883515.288624e-08
0.71251.688165.367296e-08
0.7154821.6879715.446298e-08
0.7184761.6877835.525630e-08
0.7214831.6875975.605295e-08
0.7245021.6874125.685292e-08
0.7275341.6872295.765625e-08
0.7305791.6870485.846294e-08
0.7336371.6868675.927300e-08
0.7367071.6866896.008645e-08
0.739791.6865116.090331e-08
0.7428861.6863356.172359e-08
0.7459951.6861616.254730e-08
0.7491171.6859886.337445e-08
0.7522521.6858166.420507e-08
0.75541.6856456.503917e-08
0.7585611.6854766.587675e-08
0.7617361.6853086.671784e-08
0.7649231.6851426.756245e-08
0.7681251.6849766.841059e-08
0.7713391.6848126.926229e-08
0.7745671.684657.011754e-08
0.7778091.6844887.097638e-08
0.7810641.6843287.183881e-08
0.7843321.6841687.270485e-08
0.7876151.684017.357452e-08
0.7909111.6838547.444782e-08
0.7942211.6836987.532478e-08
0.7975441.6835437.620541e-08
0.81.683437.685600e-08
0.8008821.683397.662183e-08
0.8042341.6832387.573210e-08
0.8075991.6830877.483865e-08
0.8109791.6829367.394147e-08
0.8143731.6827877.304052e-08
0.8177811.6826397.213581e-08
0.8212041.6824927.122731e-08
0.824641.6823477.031501e-08
0.8280911.6822026.939890e-08
0.8315571.6820586.847894e-08
0.8350371.6819156.755514e-08
0.8385311.6817736.662748e-08
0.8420411.6816326.569592e-08
0.8455641.6814926.476048e-08
0.8491031.6813536.382111e-08
0.8526561.6812156.287782e-08
0.8562251.6810786.193058e-08
0.8598081.6809416.097937e-08
0.8634061.6808066.002418e-08
0.867021.6806715.906500e-08
0.8706481.6805385.810180e-08
0.8742921.6804055.713457e-08
0.877951.6802735.616329e-08
0.8816251.6801425.518795e-08
0.8853141.6800125.420853e-08
0.8890191.6798825.322501e-08
0.892741.6797545.223737e-08
0.8964761.6796265.124560e-08
0.91.6795065.031000e-08
0.9002271.6794995.032270e-08
0.9039951.6793725.053330e-08
0.9077781.6792475.074478e-08
0.9115771.6791225.095714e-08
0.9153921.6789985.117039e-08
0.9192231.6788745.138454e-08
0.9230691.6787525.159958e-08
0.9269321.678635.181552e-08
0.9308121.6785085.203236e-08
0.9347071.6783885.225011e-08
0.9386191.6782685.246878e-08
0.9425471.6781495.268836e-08
0.9464911.678035.290885e-08
0.9504521.6779125.313027e-08
0.954431.6777955.335262e-08
0.9584241.6776785.357589e-08
0.9624351.6775625.380011e-08
0.9664631.6774475.402526e-08
0.9705071.6773325.425135e-08
0.9745691.6772185.447839e-08
0.9786471.6771045.470637e-08
0.9827431.6769915.493532e-08
0.9868551.6768785.516522e-08
0.9909851.6767665.539608e-08
0.9951321.6766555.562791e-08
0.9992971.6765445.586071e-08
11.6765255.590000e-08
1.003481.6764335.559339e-08
1.007681.6763235.522329e-08
1.01191.6762145.485164e-08
1.016131.6761055.447844e-08
1.020381.6759975.410367e-08
1.024651.6758895.372734e-08
1.028941.6757815.334943e-08
1.033251.6756745.296993e-08
1.037571.6755675.258885e-08
1.041911.6754615.220618e-08
1.046271.6753565.182190e-08
1.050651.675255.143602e-08
1.055051.6751455.104852e-08
1.059461.6750415.065940e-08
1.06391.6749375.026865e-08
1.068351.6748334.987627e-08
1.072821.674734.948224e-08
1.077311.6746274.908656e-08
1.081821.6745244.868923e-08
1.086351.6744224.829024e-08
1.090891.674324.788958e-08
1.095461.6742194.748724e-08
1.100041.6741174.708321e-08
1.104651.6740174.667750e-08
1.109271.6739164.627008e-08
1.113911.6738164.586096e-08
1.118571.6737164.545013e-08
1.123251.6736164.503758e-08
1.127961.6735174.462331e-08
1.132681.6734184.420730e-08
1.137421.6733194.378955e-08
1.142181.673224.337005e-08
1.146961.6731224.294879e-08
1.151761.6730244.252578e-08
1.156581.6729264.210099e-08
1.161421.6728284.167442e-08
1.166281.6727314.124607e-08
1.171161.6726344.081593e-08
1.176061.6725374.038399e-08
1.180981.672443.995024e-08
1.185921.6723443.951467e-08
1.190891.6722473.907728e-08
1.195871.6721513.863806e-08
1.21.6720723.827400e-08
1.200871.6720553.854678e-08
1.20591.6719594.011592e-08
1.210951.6718634.169162e-08
1.216011.6717684.327391e-08
1.22111.6716724.486283e-08
1.226211.6715774.645839e-08
1.231341.6714824.806063e-08
1.23651.6713874.966958e-08
1.241671.6712925.128526e-08
1.246871.6711975.290770e-08
1.252091.6711025.453694e-08
1.257331.6710085.617299e-08
1.262591.6709135.781589e-08
1.267871.6708195.946566e-08
1.273181.6707246.112234e-08
1.278511.670636.278595e-08
1.283861.6705366.445652e-08
1.289231.6704416.613408e-08
1.294621.6703476.781867e-08
1.300041.6702536.951030e-08
1.305481.6701597.120901e-08
1.310951.6700657.291483e-08
1.316431.669977.462779e-08
1.321941.6698767.634792e-08
1.327471.6697827.807525e-08
1.333031.6696887.980981e-08
1.338611.6695948.155163e-08
1.344211.6694998.330073e-08
1.349841.6694058.505716e-08
1.355481.6693118.682093e-08
1.361161.6692178.859209e-08
1.366851.6691229.037066e-08
1.372571.6690289.215667e-08
1.378321.6689339.395016e-08
1.384091.6688399.575115e-08
1.389881.6687449.755968e-08
1.395691.6686499.937577e-08
1.41.6685791.007200e-07
1.401541.6685541.011269e-07
1.40741.6684591.026809e-07
1.413291.6683641.042414e-07
1.419211.6682691.058085e-07
1.425141.6681741.073821e-07
1.431111.6680781.089623e-07
1.43711.6679831.105491e-07
1.443111.6678871.121425e-07
1.449151.6677911.137426e-07
1.455221.6676951.153494e-07
1.461311.6675991.169630e-07
1.467421.6675021.185833e-07
1.473561.6674061.202103e-07
1.479731.6673091.218442e-07
1.485921.6672121.234849e-07
1.492141.6671151.251325e-07
1.498381.6670181.267870e-07
1.504661.666921.284484e-07
1.510951.6668221.301168e-07
1.517281.6667241.317921e-07
1.523631.6666261.334745e-07
1.531.6665271.351638e-07
1.53641.6664291.368603e-07
1.542831.6663291.385639e-07
1.549291.666231.402746e-07
1.555771.6661311.419924e-07
1.562291.6660311.437174e-07
1.568821.665931.454497e-07
1.575391.665831.471892e-07
1.581981.6657291.489360e-07
1.58861.6656281.506901e-07
1.595251.6655271.524515e-07
1.61.6654541.537100e-07
1.601931.6654251.564315e-07
1.608631.6653231.659038e-07
1.615361.665221.754158e-07
1.622121.6651181.849676e-07
1.628911.6650151.945594e-07
1.635731.6649112.041913e-07
1.642571.6648072.138635e-07
1.649451.6647032.235762e-07
1.656351.6645982.333295e-07
1.663281.6644932.431236e-07
1.670241.6643882.529588e-07
1.677231.6642822.628351e-07
1.684251.6641762.727527e-07
1.69131.6640692.827118e-07
1.698381.6639622.927126e-07
1.705491.6638553.027553e-07
1.712621.6637473.128400e-07
1.719791.6636383.229669e-07
1.726991.6635293.331362e-07
1.734211.663423.433480e-07
1.741471.663313.536026e-07
1.748761.6631993.639000e-07
1.756081.6630893.742406e-07
1.763431.6629773.846245e-07
1.770811.6628653.950518e-07
1.778221.6627534.055227e-07
1.785661.662644.160375e-07
1.793131.6625274.265963e-07
1.81.6624224.363000e-07
1.800641.6624134.374561e-07
1.808171.6622984.511447e-07
1.815741.6621834.648907e-07
1.823341.6620674.786942e-07
1.830971.6619514.925554e-07
1.838631.6618345.064747e-07
1.846331.6617175.204522e-07
1.854051.6615985.344882e-07
1.861811.661485.485829e-07
1.86961.661365.627366e-07
1.877431.6612415.769496e-07
1.885281.661125.912220e-07
1.893171.6609996.055542e-07
1.90111.6608776.199464e-07
1.909051.6607546.343987e-07
1.917041.6606316.489116e-07
1.925061.6605076.634852e-07
1.933121.6603836.781198e-07
1.941211.6602576.928156e-07
1.949331.6601317.075729e-07
1.957491.6600057.223920e-07
1.965681.6598777.372731e-07
1.973911.6597497.522165e-07
1.982171.659627.672224e-07
1.990471.659497.822911e-07
1.99881.659367.974229e-07
21.6593417.996100e-07
2.007161.6592298.321664e-07
2.015561.6590978.703557e-07
2.0241.6589649.087049e-07
2.032471.658839.472146e-07
2.040971.6586969.858854e-07
2.049511.6585611.024718e-06
2.058091.6584251.063713e-06

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
—