Optical constants

Refractive index of TPH55 (OHARA)

TPH55: n,k 0.3–2.4 µm

Data
formula 3 + tabulated k
Range
0.3–2.4 µm
Temperature
298 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength. Note: k data cover 370-900 nm only; k = 0 elsewhere in the n range 300-2400 nm.

At one wavelength

Range 0.3–2.4 µm
Refractive index n
1.7555
Extinction coefficient k
2.45299e-08
Permittivity ε1
3.08177
Permittivity ε2
8.61244e-08
Absorption coefficient α
0.00524595 cm⁻¹
Penetration depth δ = λ/(2πk)
3.81246e+09 nm
Abbe number Vd
25.066
Chromatic dispersion dn/dλ
-0.150513 µm⁻¹
Group index ng
1.84394
Group velocity dispersion
312.843 fs²/mm
Dispersion parameter D
-1706.73 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

# TPH55 (OHARA): TPH55
ohara_tph55 = ls.fetch_refractiveindex("specs", "OHARA-optical", "TPH55", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_tph55.range_nm)  # (300, 2400) nm
eps = ohara_tph55.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=2.9569821−0.013856476⁢λ2.0+0.037265687⁢λ−2.0+0.0029140249⁢λ−4.0−0.00020079792⁢λ−6.0+2.945722×10-5⁢λ−8.0

Valid from 0.3 to 2.4 µm.

Coefficients as stored
CiValue
C12.9569821
C2-0.013856476
C32.0
C40.037265687
C5-2.0
C60.0029140249
C7-4.0
C8-0.00020079792
C9-6.0
C102.945722e-05
C11-8.0

Comments and conditions

Conditions

temperature
298 K

Properties

nd
1.755502
Vd
25.066156
glass code
756251
glass status
preferred
density
value: 3060
thermal expansion
value: 9.4e-06, temperature range: 293 573
dPgF
0.0197
Notes on the source data (kept exactly as published):
  • k data cover 370-900 nm only; k = 0 elsewhere in the n range 300-2400 nm

References

Cite

OHARA Zemax catalog 2017-11-30 (obtained from http://www.ohara-inc.co.jp); See also OHARA 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 414 wavelengths, the same grid as the API and the library
TPH55 (OHARA), TPH55: n and k versus wavelength
λ (µm)nk
0.31.9756230
0.3015681.9701530
0.3031431.9648420
0.3047271.9596850
0.306321.9546770
0.307921.9498120
0.3095291.9450850
0.3111471.9404930
0.3127721.936030
0.3144071.9316920
0.3160491.9274750
0.3177011.9233750
0.3193611.9193880
0.321031.915510
0.3227071.9117370
0.3243931.9080660
0.3260881.9044930
0.3277921.9010150
0.3295051.897630
0.3312271.8943330
0.3329581.8911220
0.3346971.8879940
0.3364461.8849470
0.3382041.8819770
0.3399711.8790830
0.3417481.8762610
0.3435341.8735090
0.3453291.8708260
0.3471331.8682080
0.3489471.8656540
0.350771.8631610
0.3526031.8607290
0.3544461.8583530
0.3562981.8560340
0.3581591.8537690
0.3600311.8515570
0.3619121.8493950
0.3638031.8472820
0.3657041.8452180
0.3676151.8431990
0.3695361.8412250
0.371.8407561.032500e-05
0.3714671.8392959.276197e-06
0.3734081.8374067.888303e-06
0.3753591.8355596.493157e-06
0.377321.8337515.090721e-06
0.3792921.8319813.680957e-06
0.381.8313573.174600e-06
0.3812741.8302492.934500e-06
0.3832661.8285532.558962e-06
0.3852691.8268922.181461e-06
0.3872821.8252651.801988e-06
0.3893051.8236721.420532e-06
0.391.8231341.289600e-06
0.391341.822111.201466e-06
0.3933841.820581.066933e-06
0.395441.819089.316982e-07
0.3975061.8176097.957564e-07
0.3995831.8161686.591043e-07
0.41.8158836.316900e-07
0.4016711.8147545.991729e-07
0.403771.8133675.583360e-07
0.405881.8120075.172857e-07
0.4080011.8106724.760210e-07
0.4101331.8093624.345406e-07
0.4122761.8080773.928434e-07
0.414431.8068153.509284e-07
0.4165951.8055763.087944e-07
0.4187721.804362.664402e-07
0.421.8036862.425500e-07
0.420961.8031652.375918e-07
0.423161.8019922.262352e-07
0.4253711.8008392.148192e-07
0.4275941.7997072.033436e-07
0.4298281.7985951.918080e-07
0.4320741.7975011.802121e-07
0.4343321.7964271.685557e-07
0.4366011.795371.568383e-07
0.4388821.7943321.450598e-07
0.441.7938311.392900e-07
0.4411761.7933111.369914e-07
0.4434811.7923071.324847e-07
0.4457981.7913191.279543e-07
0.4481281.7903481.234004e-07
0.4504691.7893921.188226e-07
0.4528231.7884521.142209e-07
0.4551891.7875271.095952e-07
0.4575681.7866171.049452e-07
0.4599591.7857211.002710e-07
0.461.7857061.001900e-07
0.4623621.784849.747129e-08
0.4647781.7839729.469041e-08
0.4672061.7831179.189500e-08
0.4696481.7822768.908498e-08
0.4721021.7814488.626028e-08
0.4745691.7806328.342082e-08
0.4770481.7798298.056652e-08
0.4795411.7790387.769731e-08
0.481.7788947.716900e-08
0.4820471.7782587.501266e-08
0.4845661.7774917.235897e-08
0.4870981.7767346.969141e-08
0.4896431.7759896.700992e-08
0.4922011.7752556.431441e-08
0.4947731.7745316.160482e-08
0.4973581.7738185.888107e-08
0.4999571.7731155.614309e-08
0.51.7731035.609800e-08
0.502571.7724225.456868e-08
0.5051961.7717395.300576e-08
0.5078351.7710655.143468e-08
0.5104891.7704014.985538e-08
0.5131561.7697474.826784e-08
0.5158381.7691014.667200e-08
0.5185331.7684654.506782e-08
0.5212431.7678374.345526e-08
0.5239661.7672184.183427e-08
0.5267041.7666074.020481e-08
0.5294561.7660053.856684e-08
0.5322231.7654113.692031e-08
0.5350041.7648253.526518e-08
0.5377991.7642463.360139e-08
0.5406091.7636763.192892e-08
0.5434341.7631133.024770e-08
0.5462741.7625572.855770e-08
0.5491281.7620092.685887e-08
0.551.7618432.634000e-08
0.5519981.7614682.624384e-08
0.5548821.7609342.610499e-08
0.5577811.7604072.596541e-08
0.5606961.7598862.582511e-08
0.5636261.7593732.568407e-08
0.5665711.7588662.554229e-08
0.5695311.7583652.539977e-08
0.5725071.7578712.525651e-08
0.5754981.7573842.511250e-08
0.5785061.7569022.496774e-08
0.5815281.7564262.482222e-08
0.5845671.7559572.467594e-08
0.5876221.7554932.452890e-08
0.5906921.7550352.438109e-08
0.5937791.7545832.423250e-08
0.5968811.7541362.408314e-08
0.61.7536942.393300e-08
0.6031351.7532592.471064e-08
0.6062871.7528282.549234e-08
0.6094551.7524032.627813e-08
0.6126391.7519822.706803e-08
0.615841.7515672.786205e-08
0.6190581.7511572.866022e-08
0.6222931.7507522.946256e-08
0.6255451.7503513.026910e-08
0.6288131.7499563.107984e-08
0.6320991.7495653.189483e-08
0.6354021.7491783.271407e-08
0.6387221.7487963.353760e-08
0.6420591.7484193.436542e-08
0.6454141.7480463.519758e-08
0.6487871.7476773.603408e-08
0.651.7475463.633500e-08
0.6521771.7473133.645669e-08
0.6555851.7469523.664718e-08
0.659011.7465963.683867e-08
0.6624541.7462443.703116e-08
0.6659151.7458963.722466e-08
0.6693951.7455523.741917e-08
0.6728921.7452113.761469e-08
0.6764091.7448753.781124e-08
0.6799431.7445423.800881e-08
0.6834961.7442133.820741e-08
0.6870671.7438883.840706e-08
0.6906571.7435663.860774e-08
0.6942661.7432483.880948e-08
0.6978941.7429333.901227e-08
0.71.7427523.913000e-08
0.7015411.7426213.872354e-08
0.7052061.7423133.775634e-08
0.7088911.7420093.678408e-08
0.7125951.7417073.580675e-08
0.7163191.7414093.482431e-08
0.7200621.7411143.383674e-08
0.7238241.7408223.284400e-08
0.7276061.7405333.184608e-08
0.7314081.7402473.084295e-08
0.735231.7399652.983457e-08
0.7390721.7396852.882093e-08
0.7429341.7394082.780198e-08
0.7468161.7391332.677772e-08
0.7507181.7388622.574810e-08
0.7546411.7385932.471310e-08
0.7585841.7383282.367269e-08
0.7625471.7380642.262685e-08
0.7665321.7378042.157554e-08
0.7705371.7375462.051874e-08
0.7745641.737291.945642e-08
0.7786111.7370371.838854e-08
0.7826791.7367871.731509e-08
0.7867691.7365391.623602e-08
0.790881.7362931.515132e-08
0.7950121.736051.406095e-08
0.7991671.7358091.296489e-08
0.81.7357611.274500e-08
0.8033421.735571.255851e-08
0.807541.7353341.232431e-08
0.811761.7350991.208888e-08
0.8160011.7348671.185222e-08
0.8202651.7346371.161433e-08
0.8245511.7344091.137519e-08
0.828861.7341841.113480e-08
0.8331911.733961.089316e-08
0.8375441.7337381.065025e-08
0.8419211.7335181.040608e-08
0.846321.7333011.016063e-08
0.8507421.7330859.913894e-09
0.8551871.7328719.665871e-09
0.8596561.7326599.416552e-09
0.8641481.7324489.165931e-09
0.8686631.732248.914000e-09
0.8732021.7320338.660752e-09
0.8777651.7318288.406182e-09
0.8823511.7316248.150281e-09
0.8869621.7314227.893043e-09
0.8915971.7312227.634461e-09
0.8962551.7310247.374527e-09
0.91.7308667.165600e-09
0.9009391.7308270
0.9056461.7306310
0.9103781.7304380
0.9151351.7302450
0.9199171.7300540
0.9247241.7298650
0.9295561.7296770
0.9344131.729490
0.9392951.7293050
0.9442041.7291210
0.9491371.7289380
0.9540971.7287570
0.9590821.7285770
0.9640931.7283980
0.9691311.728220
0.9741951.7280430
0.9792851.7278680
0.9844021.7276940
0.9895461.7275210
0.9947171.7273490
0.9999141.7271780
1.005141.7270080
1.010391.7268390
1.015671.7266710
1.020981.7265040
1.026311.7263390
1.031681.7261740
1.037071.7260090
1.042491.7258460
1.047931.7256840
1.053411.7255220
1.058911.7253620
1.064451.7252020
1.070011.7250430
1.07561.7248850
1.081221.7247270
1.086871.724570
1.092551.7244140
1.098261.7242580
1.1041.7241040
1.109761.7239490
1.115561.7237960
1.121391.7236430
1.127251.7234910
1.133141.7233390
1.139061.7231880
1.145011.7230370
1.1511.7228870
1.157011.7227370
1.163061.7225880
1.169131.7224390
1.175241.722290
1.181381.7221420
1.187561.7219950
1.193761.7218470
1.21.7217010
1.206271.7215540
1.212571.7214080
1.218911.7212620
1.225281.7211160
1.231681.7209710
1.238121.7208260
1.244591.7206810
1.251091.7205360
1.257631.7203910
1.26421.7202470
1.27081.7201030
1.277441.7199590
1.284121.7198150
1.290831.7196710
1.297571.7195270
1.304351.7193840
1.311171.719240
1.318021.7190970
1.324911.7189530
1.331831.718810
1.338791.7186660
1.345781.7185220
1.352821.7183790
1.359891.7182350
1.366991.7180910
1.374131.7179470
1.381311.7178030
1.388531.7176590
1.395791.7175150
1.403081.717370
1.410411.7172260
1.417781.7170810
1.425191.7169360
1.432641.716790
1.440121.7166450
1.447651.7164990
1.455211.7163530
1.462821.7162060
1.470461.716060
1.478141.7159120
1.485871.7157650
1.493631.7156170
1.501441.7154690
1.509281.715320
1.517171.7151710
1.525091.7150220
1.533061.7148720
1.541071.7147210
1.549131.714570
1.557221.7144190
1.565361.7142670
1.573541.7141140
1.581761.7139610
1.590021.7138070
1.598331.7136530
1.606681.7134980
1.615081.7133420
1.623521.7131860
1.6321.7130290
1.640531.7128710
1.64911.7127130
1.657721.7125540
1.666381.7123940
1.675091.7122340
1.683841.7120720
1.692641.711910
1.701481.7117470
1.710371.7115840
1.719311.7114190
1.72831.7112530
1.737331.7110870
1.74641.710920
1.755531.7107510
1.76471.7105820
1.773921.7104120
1.783191.7102410
1.792511.7100690
1.801881.7098950
1.811291.7097210
1.820761.7095460
1.830271.7093690
1.839831.7091920
1.849451.7090130
1.859111.7088330
1.868831.7086520
1.878591.708470
1.888411.7082870
1.898271.7081020
1.908191.7079160
1.918161.7077290
1.928191.7075410
1.938261.7073510
1.948391.707160
1.958571.7069670
1.96881.7067740
1.979091.7065780
1.989431.7063820
1.999831.7061840
2.010281.7059840
2.020781.7057830
2.031341.7055810
2.041961.7053760
2.052631.7051710
2.063351.7049640
2.074131.7047550
2.084971.7045440
2.095861.7043320
2.106821.7041180
2.117821.7039030
2.128891.7036860
2.140011.7034670
2.15121.7032460
2.162441.7030230
2.173741.7027990
2.18511.7025730
2.196511.7023440
2.207991.7021140
2.219531.7018820
2.231121.7016490
2.242781.7014130
2.25451.7011750
2.266281.7009350
2.278121.7006930
2.290031.7004490
2.301991.7002030
2.314021.6999540
2.326111.6997040
2.338271.6994510
2.350491.6991960
2.362771.6989390
2.375111.6986790
2.387521.6984180
2.41.6981540

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
—