Optical constants

Refractive index of FK5HTi (SCHOTT)

FK5HTi: n,k 0.25–2.5 µm

Data
formula 2 + tabulated k
Range
0.25–2.5 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.25–2.5 µm
Refractive index n
1.48748
Extinction coefficient k
9.75245e-09
Permittivity ε1
2.21259
Permittivity ε2
2.90131e-08
Absorption coefficient α
0.00208565 cm⁻¹
Penetration depth δ = λ/(2πk)
9.58933e+09 nm
Abbe number Vd
70.47
Chromatic dispersion dn/dλ
-0.0360069 µm⁻¹
Group index ng
1.50864
Group velocity dispersion
59.1625 fs²/mm
Dispersion parameter D
-322.763 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

# FK5HTi (SCHOTT): FK5HTi
schott_fk5hti = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "FK5HTi", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_fk5hti.range_nm)  # (250, 2500) nm
eps = schott_fk5hti.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

Sellmeier (C in µm²) (formula 2), λ in µm
n2−1=0.90936218λ2λ2−0.0052014247+0.279077054λ2λ2−0.0158938446+0.891813298λ2λ2−95.9109448

Valid from 0.25 to 2.5 µm.

Coefficients as stored
CiValue
C10.0
C20.90936218
C30.0052014247
C40.279077054
C50.0158938446
C60.891813298
C795.9109448

Comments and conditions

i-line glass

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -7.47e-06 1.58e-08 -1.23e-11 3.58e-07 4.03e-10 0.164
nd
1.48748
Vd
70.47
glass code
487705.245
glass status
standard
density
value: 2450
thermal expansion
value: 9.2e-06, temperature range: 243 343; value: 1e-05, temperature range: 293 573
dPgF
0.0036
resistance
acid: 4.0; stain: 1.0; alkali: 2.0; climatic: 2.0; phosphate: 2.3

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -2.65e-06 K⁻¹ at 633 nm, dn/dT = -2.90e-06 K⁻¹ at 1310 nm, dn/dT = -2.91e-06 K⁻¹ at 1550 nm

References

Cite

SCHOTT Zemax catalog 2017-01-20b (obtained from http://www.schott.com); See also SCHOTT 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 428 wavelengths, the same grid as the API and the library
FK5HTi (SCHOTT), FK5HTi: n and k versus wavelength
λ (µm)nk
0.251.5380444.945400e-06
0.2514471.5372324.588582e-06
0.2529021.5364334.229698e-06
0.2543661.5356473.868738e-06
0.2558381.5348733.505688e-06
0.2573191.5341123.140537e-06
0.2588081.5333632.773273e-06
0.261.5327752.479300e-06
0.2603061.5326252.443275e-06
0.2618121.53192.265805e-06
0.2633281.5311852.087307e-06
0.2648521.5304821.907777e-06
0.2663841.529791.727207e-06
0.2679261.5291081.545593e-06
0.2694771.5284371.362927e-06
0.271.5282141.301300e-06
0.2710361.5277771.228626e-06
0.2726051.5271261.118637e-06
0.2741831.5264851.008012e-06
0.275771.5258548.967469e-07
0.2773661.5252337.848376e-07
0.2789711.524626.722805e-07
0.281.5242356.001300e-07
0.2805861.5240175.798227e-07
0.2822091.5234235.235055e-07
0.2838431.5228384.668624e-07
0.2854861.5222614.098914e-07
0.2871381.5216933.525907e-07
0.28881.5211342.949584e-07
0.291.5207362.533300e-07
0.2904711.5205822.461355e-07
0.2921521.5200392.204614e-07
0.2938431.5195031.946387e-07
0.2955441.5189751.686665e-07
0.2972541.5184551.425441e-07
0.2989751.5179421.162704e-07
0.31.5176411.006100e-07
0.3007051.5174379.650246e-08
0.3024451.5169398.636125e-08
0.3041961.5164477.616136e-08
0.3059561.5159636.590243e-08
0.3077271.5154865.558412e-08
0.3095081.5150164.520610e-08
0.311.5148874.233900e-08
0.3112991.5145523.964678e-08
0.3131011.5140943.591355e-08
0.3149131.5136433.215870e-08
0.3167361.5131982.838213e-08
0.3185691.512762.458370e-08
0.321.5124232.161800e-08
0.3204121.5123272.132755e-08
0.3222671.5119012.002178e-08
0.3241321.511481.870845e-08
0.3260081.5110651.738752e-08
0.3278951.5106561.605895e-08
0.3297921.5102521.472269e-08
0.3317011.5098541.337869e-08
0.3336211.5094611.202692e-08
0.3341.5093851.176000e-08
0.3355521.5090741.126969e-08
0.3374941.5086921.065608e-08
0.3394471.5083141.003892e-08
0.3414121.5079429.418192e-09
0.3433881.5075758.793867e-09
0.3453751.5072138.165930e-09
0.3473741.5068567.534357e-09
0.3493841.5065036.899130e-09
0.351.5063976.704600e-09
0.3514061.5061556.512578e-09
0.353441.5058126.234898e-09
0.3554861.5054735.955610e-09
0.3575431.5051395.674707e-09
0.3596121.5048095.392177e-09
0.3616941.5044835.108013e-09
0.3637871.5041614.822203e-09
0.3651.5039784.656600e-09
0.3658931.5038444.667989e-09
0.368011.5035314.695010e-09
0.371.5032424.720400e-09
0.370141.5032224.722187e-09
0.3722821.5029164.749522e-09
0.3744371.5026154.777014e-09
0.3766041.5023184.804666e-09
0.3787841.5020244.832478e-09
0.381.5018634.848000e-09
0.3809761.5017344.738885e-09
0.3831811.5014484.492330e-09
0.3853981.5011664.244348e-09
0.3876291.5008873.994931e-09
0.3898721.5006113.744071e-09
0.391.5005963.729800e-09
0.3921291.5003393.750173e-09
0.3943981.5000713.771891e-09
0.3966811.4998053.793736e-09
0.3989771.4995433.815707e-09
0.41.4994283.825500e-09
0.4012861.4992853.837792e-09
0.4036081.4990293.859995e-09
0.4051.4988783.873300e-09
0.4059441.4987773.882326e-09
0.4082941.4985283.904787e-09
0.4106571.4982823.927378e-09
0.4130331.4980393.950099e-09
0.4154241.4977993.972952e-09
0.4178281.4975613.995937e-09
0.421.4973514.016700e-09
0.4202461.4973274.040498e-09
0.4226791.4970964.275479e-09
0.4251251.4968674.511821e-09
0.4275851.4966414.749530e-09
0.430061.4964184.988615e-09
0.4325491.4961985.229084e-09
0.4350521.495985.470945e-09
0.4361.4958995.562500e-09
0.437571.4957655.678763e-09
0.4401031.4955525.866272e-09
0.442651.4953426.054865e-09
0.4452121.4951356.244550e-09
0.4477881.4949296.435333e-09
0.450381.4947276.627220e-09
0.4529871.4945266.820217e-09
0.4556081.4943287.014332e-09
0.4582451.4941337.209570e-09
0.461.4940047.339500e-09
0.4608971.4939397.389718e-09
0.4635651.4937487.539003e-09
0.4662481.4935597.689152e-09
0.4689461.4933727.840171e-09
0.471661.4931887.992063e-09
0.474391.4930058.144835e-09
0.4771361.4928258.298490e-09
0.4798971.4926468.453035e-09
0.4826741.492478.608475e-09
0.4854681.4922968.764814e-09
0.4882781.4921238.922057e-09
0.4911041.4919539.080211e-09
0.4939461.4917849.239281e-09
0.4968051.4916189.399270e-09
0.499681.4914539.560186e-09
0.51.4914359.578100e-09
0.5025721.491299.529660e-09
0.5054811.4911299.474876e-09
0.5084061.4909699.419774e-09
0.5113481.4908129.364354e-09
0.5143081.4906569.308613e-09
0.5172851.4905019.252550e-09
0.5202781.4903499.196162e-09
0.5232891.4901989.139447e-09
0.5263181.4900499.082405e-09
0.5293641.4899019.025032e-09
0.5324281.4897558.967327e-09
0.5355091.489618.909289e-09
0.5386091.4894678.850914e-09
0.5417261.4893268.792202e-09
0.5448611.4891858.733149e-09
0.5461.4891358.711700e-09
0.5480151.4890478.743839e-09
0.5511861.488918.794437e-09
0.5543761.4887748.845327e-09
0.5575851.4886398.896512e-09
0.5608121.4885068.947993e-09
0.5640581.4883758.999772e-09
0.5673221.4882449.051851e-09
0.5706061.4881159.104231e-09
0.5739081.4879889.156914e-09
0.577231.4878619.209903e-09
0.581.4877579.254100e-09
0.580571.4877369.291494e-09
0.583931.4876129.511824e-09
0.587311.4874899.733429e-09
0.5907091.4873679.956316e-09
0.5941281.4872471.018049e-08
0.5975661.4871281.040597e-08
0.6010251.487011.063275e-08
0.6045031.4868921.086084e-08
0.6080021.4867771.109025e-08
0.6115211.4866621.132099e-08
0.615061.4865481.155307e-08
0.618621.4864351.178649e-08
0.621.4863921.187700e-08
0.62221.4863231.180297e-08
0.6258011.4862131.168180e-08
0.6294231.4861031.155992e-08
0.6330661.4859941.143734e-08
0.636731.4858871.131405e-08
0.6404151.485781.119004e-08
0.6441211.4856741.106532e-08
0.6478491.4855691.093988e-08
0.6515991.4854651.081371e-08
0.655371.4853621.068681e-08
0.6591631.4852591.055917e-08
0.661.4852371.053100e-08
0.6629781.4851581.024541e-08
0.6668151.4850579.877401e-09
0.6706741.4849579.507262e-09
0.6745561.4848589.134980e-09
0.678461.484768.760543e-09
0.6823861.4846638.383940e-09
0.6863361.4845668.005157e-09
0.6903081.484477.624181e-09
0.6943031.4843757.241001e-09
0.6983211.484286.855603e-09
0.71.4842416.694600e-09
0.7023631.4841876.694996e-09
0.7064281.4840936.695677e-09
0.7105161.4840016.696361e-09
0.7146291.4839096.697050e-09
0.7187651.4838186.697743e-09
0.7229241.4837286.698440e-09
0.7271081.4836386.699141e-09
0.7313171.4835496.699846e-09
0.7355491.483466.700554e-09
0.7398061.4833726.701268e-09
0.7440881.4832856.701985e-09
0.7483941.4831986.702706e-09
0.7527261.4831116.703432e-09
0.7570821.4830266.704161e-09
0.7614641.482946.704895e-09
0.7658711.4828566.705633e-09
0.7703031.4827716.706376e-09
0.7747621.4826876.707123e-09
0.7792461.4826046.707874e-09
0.7837561.4825216.708629e-09
0.7882921.4824396.709389e-09
0.7928541.4823576.710153e-09
0.7974431.4822756.710922e-09
0.8020581.4821946.711695e-09
0.80671.4821136.712472e-09
0.8113691.4820336.713254e-09
0.8160641.4819536.714041e-09
0.8207881.4818746.714832e-09
0.8255381.4817946.715628e-09
0.8303161.4817166.716428e-09
0.8351211.4816376.717233e-09
0.8399551.4815596.718042e-09
0.8448161.4814816.718857e-09
0.8497051.4814036.719676e-09
0.8546231.4813266.720499e-09
0.8595691.4812496.721328e-09
0.8645441.4811726.722161e-09
0.8695481.4810966.722999e-09
0.874581.4810196.723842e-09
0.8796421.4809436.724690e-09
0.8847331.4808676.725543e-09
0.8898531.4807926.726400e-09
0.8950031.4807166.727263e-09
0.9001831.4806416.728131e-09
0.9053931.4805666.729003e-09
0.9106331.4804916.729881e-09
0.9159041.4804176.730764e-09
0.9212041.4803426.731652e-09
0.9265361.4802686.732545e-09
0.9318981.4801936.733443e-09
0.9372921.4801196.734346e-09
0.9427171.4800456.735255e-09
0.9481731.4799716.736169e-09
0.953661.4798976.737088e-09
0.959181.4798246.738013e-09
0.9647311.479756.738942e-09
0.9703141.4796766.739878e-09
0.975931.4796036.740818e-09
0.9815781.4795296.741764e-09
0.9872591.4794556.742716e-09
0.9929731.4793826.743673e-09
0.998721.4793086.744636e-09
1.00451.4792356.745604e-09
1.010311.4791616.746578e-09
1.016161.4790886.747557e-09
1.022041.4790146.748542e-09
1.027961.478946.749533e-09
1.033911.4788676.750529e-09
1.039891.4787936.751532e-09
1.045911.4787196.752540e-09
1.051961.4786456.753554e-09
1.058051.4785716.754573e-09
1.061.4785476.754900e-09
1.064171.4784968.235868e-09
1.070331.4784221.042106e-08
1.076531.4783481.261891e-08
1.082761.4782731.482947e-08
1.089021.4781981.705283e-08
1.095331.4781231.928905e-08
1.101671.4780482.153822e-08
1.108041.4779732.380041e-08
1.114461.4778972.607568e-08
1.120911.4778222.836413e-08
1.127391.4777463.066582e-08
1.133921.477673.298083e-08
1.140481.4775933.530924e-08
1.147081.4775173.765113e-08
1.153721.477444.000657e-08
1.16041.4773634.237564e-08
1.167111.4772854.475842e-08
1.173871.4772074.715499e-08
1.180661.4771294.956544e-08
1.187491.4770515.198983e-08
1.194371.4769725.442826e-08
1.201281.4768935.688080e-08
1.208231.4768145.934753e-08
1.215231.4767346.182854e-08
1.222261.4766546.432391e-08
1.229331.4765736.683372e-08
1.236451.4764926.935805e-08
1.24361.4764117.189700e-08
1.25081.4763297.445064e-08
1.258041.4762477.701906e-08
1.265321.4761657.960234e-08
1.272641.4760818.220058e-08
1.280011.4759988.481385e-08
1.287421.4759148.744225e-08
1.294871.4758299.008585e-08
1.302361.4757449.274476e-08
1.30991.4756599.541906e-08
1.317481.4755739.810884e-08
1.325111.4754861.008142e-07
1.332781.4753991.035352e-07
1.340491.4753111.062719e-07
1.348251.4752231.090245e-07
1.356051.4751341.117930e-07
1.36391.4750441.145776e-07
1.371791.4749541.173782e-07
1.379731.4748631.201951e-07
1.387721.4747721.230283e-07
1.395751.4746791.258778e-07
1.403831.4745871.287439e-07
1.411951.4744931.316265e-07
1.420121.4743991.345259e-07
1.428341.4743041.374420e-07
1.436611.4742081.403750e-07
1.444921.4741121.433249e-07
1.453291.4740151.462920e-07
1.46171.4739171.492762e-07
1.470161.4738181.522776e-07
1.478671.4737191.552965e-07
1.487221.4736181.583328e-07
1.495831.4735171.613867e-07
1.504491.4734151.644583e-07
1.513191.4733121.675476e-07
1.521951.4732081.706548e-07
1.531.4731131.735100e-07
1.530761.4731041.739971e-07
1.539621.4729981.796663e-07
1.548531.4728921.853683e-07
1.557491.4727841.911033e-07
1.566511.4726761.968715e-07
1.575571.4725662.026731e-07
1.584691.4724562.085083e-07
1.593861.4723442.143772e-07
1.603091.4722322.202801e-07
1.612371.4721182.262172e-07
1.62171.4720042.321886e-07
1.631081.4718882.381946e-07
1.640521.4717712.442354e-07
1.650021.4716532.503111e-07
1.659571.4715342.564220e-07
1.669171.4714142.625682e-07
1.678831.4712932.687500e-07
1.688551.471172.749676e-07
1.698321.4710462.812212e-07
1.708151.4709212.875110e-07
1.718041.4707952.938372e-07
1.727981.4706683.002000e-07
1.737981.4705393.065996e-07
1.748041.4704093.130362e-07
1.758161.4702773.195101e-07
1.768331.4701443.260215e-07
1.778571.470013.325706e-07
1.788861.4698743.391575e-07
1.799211.4697373.457826e-07
1.809631.4695993.524460e-07
1.82011.4694593.591480e-07
1.830631.4693173.658888e-07
1.841231.4691743.726686e-07
1.851891.469033.794876e-07
1.86261.4688843.863461e-07
1.873381.4687363.932443e-07
1.884231.4685874.001824e-07
1.895131.4684364.071607e-07
1.90611.4682834.141794e-07
1.917131.4681294.212386e-07
1.928231.4679734.283388e-07
1.939391.4678154.354800e-07
1.950611.4676564.426626e-07
1.96191.4674954.498867e-07
1.971.4673784.550700e-07
1.973251.4673324.824618e-07
1.984671.4671675.785803e-07
1.996161.4676.752552e-07
2.007711.4668317.724895e-07
2.019331.4666618.702866e-07
2.031021.4664889.686497e-07
2.042781.4663131.067582e-06
2.05461.4661371.167087e-06
2.066491.4659581.267168e-06
2.078451.4657771.367828e-06
2.090481.4655941.469071e-06
2.102581.4654091.570899e-06
2.114751.4652221.673317e-06
2.126991.4650331.776328e-06
2.13931.4648411.879935e-06
2.151681.4646471.984141e-06
2.164131.4644512.088951e-06
2.176661.4642522.194367e-06
2.189251.4640512.300394e-06
2.201921.4638482.407034e-06
2.214671.4636422.514291e-06
2.227481.4634342.622169e-06
2.240381.4632232.730671e-06
2.253341.4630092.839801e-06
2.266381.4627932.949563e-06
2.27951.4625743.059960e-06
2.292691.4623533.170996e-06
2.305961.4621293.282675e-06
2.319311.4619023.395000e-06
2.3251.4618053.442900e-06
2.332731.4616723.626384e-06
2.346231.4614393.946771e-06
2.359811.4612044.269012e-06
2.373471.4609654.593118e-06
2.387211.4607244.919100e-06
2.401021.4604795.246968e-06
2.414921.4602325.576735e-06
2.428891.4599815.908409e-06
2.442951.4597276.242004e-06
2.457091.459476.577529e-06
2.471311.4592096.914996e-06
2.485611.4589467.254416e-06
2.51.4586787.595800e-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
—