Kramers-Kronig analysis of reflection data

Roessler, D M

doi:10.1088/0508-3443/16/8/310

Cited by 265Optical Polarization and EllipsometryOptical and Acousto-Optic TechnologiesElectrical and Electromagnetic Research

Kramers-Kronig analysis of reflection data

Roessler, D M·1965·British Journal of Applied Physics

DOI 10.1088/0508-3443/16/8/310

Open this paper in CoChat — free account

Abstract

A method is given for using the Kramers-Kronig dispersion relations to evaluate optical and dielectric parameters of materials from normal incidence reflectance data when data over only a limited spectral range is available. No assumptions are needed concerning the behaviour of the reflectance data outside the experimental range, and no extrapolations of data are required. As an example, the extreme ultra-violet reflectance data of potassium iodide is analysed by this method.

Integrity signals

Registry

Crossref · 10.1088/0508-3443/16/8/310

Cites

6 of 6 references verified0 citation errors · 0 not checkable

Statistics

Recomputing p-values needs the paper’s full text.

Claims the paper makes

We couldn’t retrieve this paper’s full text, so its claims and self-check weren’t run. The registry and citation checks still apply.

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

The Kramers-Kronig relations are bidirectional complex relations based on causality that connect the real and imaginary parts of a response function, typically the optical permittivity.
“The Kramers-Kronig relations are bidirectional complex relations that work on the principle of causality and are commonly used in optics to connect the real and imaginary parts of a response function, typically the optical permittivity.”
From Robust phase correction techniques for terahertz time-domain reflection spectroscopy (2024) · cites this paper as [33]
The phase of the reflection coefficient can be extracted from its amplitude and, conversely, the amplitude can be extracted from its phase via the Kramers-Kronig relations.
“These two equations state that the phase of the reflection coefficient can be extracted from its amplitude and, conversely, the amplitude of the reflection coefficient can be extracted from its phase.”
From Robust phase correction techniques for terahertz time-domain reflection spectroscopy (2024) · cites this paper as [33]

Network analysis and feedback amplifier design
Bode, H. W. (1945) · Virtual Defense Library (Ministerio de Defensa) · Cited by 3,111 · see citing works
Kramers-Kronig Analysis of Reflectance Data for Diamond
Phillip, H. R., & Taft, E. A. (1964) · Physical Review · doi:10.1103/physrev.136.a1445 · Cited by 348 · see citing works
Optical Constants of Germanium in the Region 1 to 10 ev
Philipp, H. R., & Taft, E. A. (1959) · Physical Review · doi:10.1103/physrev.113.1002 · Cited by 341 · see citing works
Fundamental Absorption of Barium Oxide from Its Reflectivity Spectrum
Jahoda, F. C. (1957) · Physical Review · doi:10.1103/physrev.107.1261 · Cited by 191 · see citing works
Intrinsic Optical Properties of Alkali Halides
Philipp, H. R., & Ehrenreich, H. (1963) · Physical Review · doi:10.1103/physrev.131.2016 · Cited by 145 · see citing works
Optical Constants by Reflection
Robinson, T. S. (1952) · Proceedings of the Physical Society Section B · doi:10.1088/0370-1301/65/11/113 · Cited by 124 · see citing works

Flagged first, then by citations

Sorted by citations

Statistical Exchange-Correlation in the Self-Consistent Field
Slater, J. C. (1972) · Advances in quantum chemistry · doi:10.1016/s0065-3276(08)60541-9 · Cited by 1,017 · see citing works
Electronic Spectrum and Ultraviolet Optical Properties of Crystalline MgO
Roessler, D. M., & Walker, W. C. (1967) · Physical Review · doi:10.1103/physrev.159.733 · Cited by 471 · see citing works
Self-citation
Methods for the determination of the optical constants of thin films from single transmission measurements: a critical review
Poelman, D., & Smet, P. F. (2003) · Journal of Physics D Applied Physics · doi:10.1088/0022-3727/36/15/316 · Cited by 415 · see citing works
Optical Properties and Plasmonic Performance of Titanium Nitride
Patsalas, P. A., Kalfagiannis, N., & Kassavetis, S. (2015) · Materials · doi:10.3390/ma8063128 · Cited by 372 · see citing works
“where θ is the phase change due to reflectivity, which is determined by Kramers-Kronig integration [135]: θ ω 1 π ω ω ω ω (4)”
Background
THz Medical Imaging: in vivo Hydration Sensing
Taylor, Z., Singh, R. S., BENNETT, D. B., Tewari, P., Kealey, C. P., Bajwa, N., Culjat, M. O., Stojadinovic, A., Lee, H., Hubschman, J., et al. (2011) · IEEE Transactions on Terahertz Science and Technology · doi:10.1109/tthz.2011.2159551 · Cited by 366 · see citing works
“(The RF bandwidth of any connector that supports the transmission of DC is not broad enough to regain the THz phase via the Kramers–Kronig relation [120]).”
Gigantic optical nonlinearity in one-dimensional Mott–Hubbard insulators
Kishida, H., Matsuzaki, H., Okamoto, H., Manabe, T., Yamashita, M., Taguchi, Y., & Tokura, Y. (2000) · Nature · doi:10.1038/35016036 · Cited by 356 · see citing works
Conductive nitrides: Growth principles, optical and electronic properties, and their perspectives in photonics and plasmonics
Patsalas, P. A., Kalfagiannis, N., Kassavetis, S., Abadias, G., Bellas, D. V., Lekka, C. E., & Lidorikis, E. (2018) · Materials Science and Engineering R Reports · doi:10.1016/j.mser.2017.11.001 · Cited by 266 · see citing works
Modified Kramers–Kronig Analysis of Optical Spectra
Ahrenkiel, R. K. (1971) · Journal of the Optical Society of America · doi:10.1364/josa.61.001651 · Cited by 237 · see citing works
Determination of Optical Constants from Intensity Measurements at Normal Incidence
Nilsson, P. O. (1968) · Applied Optics · doi:10.1364/ao.7.000435 · Cited by 211 · see citing works
Electronic Spectra of Crystalline NaCl and KCl
Roessler, D. M., & Walker, W. C. (1968) · Physical Review · doi:10.1103/physrev.166.599 · Cited by 174 · see citing works
Self-citation
Electronic spectrum of crystalline lithium fluoride
Roessler, D. M., & Walker, W. C. (1967) · Journal of Physics and Chemistry of Solids · doi:10.1016/0022-3697(67)90280-6 · Cited by 151 · see citing works
Self-citation
Optical Study of the Electronic Structure of Diamond
Roberts, R. A., & Walker, W. C. (1967) · Physical Review · doi:10.1103/physrev.161.730 · Cited by 141 · see citing works
Use of x-ray scattering functions in Kramers-Kronig analysis of reflectance
Tanner, D. B. (2015) · Physical Review B · doi:10.1103/physrevb.91.035123 · Cited by 133 · see citing works
Optical properties and electronic structure of europium chalcogenides
Guntherodt, G. (1974) · The European Physical Journal B · doi:10.1007/bf01950500 · Cited by 122 · see citing works
Optical theory applied to infrared spectroscopy
Yamamoto, K., & Ishida, H. (1994) · Vibrational Spectroscopy · doi:10.1016/0924-2031(94)00022-9 · Cited by 120 · see citing works
Kramers - Kronig analysis of non-normal incidence reflection
Roessler, D. M. (1965) · British Journal of Applied Physics · doi:10.1088/0508-3443/16/9/317 · Cited by 117 · see citing works
Self-citation
Some Optical Properties of Group II–VI Semiconductors (II)
REYNOLDS, D. C., Litton, C. W., & COLLINS, T. C. (1965) · physica status solidi (b) · doi:10.1002/pssb.19650120102 · Cited by 116 · see citing works
Optical Constants of Magnesium Oxide and Lithium Fluoride in the Far Ultraviolet*
Roessler, D. M., & Walker, W. C. (1967) · Journal of the Optical Society of America · doi:10.1364/josa.57.000835 · Cited by 114 · see citing works
Self-citation
Combining microfluidics and FT-IR spectroscopy: towards spatially resolved information on chemical processes
Perro, A., Bourdon, G. L., Henry, S., Lecomte, S., Servant, L., & Marre, S. (2016) · Reaction Chemistry & Engineering · doi:10.1039/c6re00127k · Cited by 110 · see citing works
Spectrally resolved light absorption properties of cooled soot from a methane flame
Coderre, A. R., Thomson, K. A., Snelling, D. R., & Johnson, M. R. (2011) · Applied Physics B · doi:10.1007/s00340-011-4448-9 · Cited by 109 · see citing works
Electronic spectrum of crystalline beryllium oxide
Roessler, D. M., Walker, W. C., & Loh, E. (1969) · Journal of Physics and Chemistry of Solids · doi:10.1016/0022-3697(69)90348-5 · Cited by 106 · see citing works
Self-citation
New insight into the material parameter B to understand the enhanced thermoelectric performance of Mg 2 Sn 1−x−y Ge x Sb y
Liu, W., Zhou, J., Jie, Q., Li, Y., Kim, H. S., Bao, J., Chen, G., & Ren, Z. (2015) · Energy & Environmental Science · doi:10.1039/c5ee02600h · Cited by 105 · see citing works
Kramers - Kronig analysis of reflectance data: III. Approximations, with reference to sodium iodide
Roessler, D. M. (1966) · British Journal of Applied Physics · doi:10.1088/0508-3443/17/10/309 · Cited by 95 · see citing works
Self-citation
Anisotropy of Excitons in Two-Dimensional Perovskite Crystals
Li, J., Ma, J., Cheng, X. Y., Liu, Z., Chen, Y., & Li, D. (2020) · ACS Nano · doi:10.1021/acsnano.9b08975 · Cited by 94 · see citing works
Optical Properties of α−MnS
Huffman, D. R., & Wild, R. L. (1967) · Physical Review · doi:10.1103/physrev.156.989 · Cited by 93 · see citing works
Extensions of the Kramers–Kronig transformation that cover a wide range of practical spectroscopic applications
Bardwell, J. A., & Dignam, M. J. (1985) · The Journal of Chemical Physics · doi:10.1063/1.449863 · Cited by 89 · see citing works
Direct and Temperature-Modulated Reflectance Spectra of MnO, CoO, and NiO
Messick, L. J., Walker, W. C., & Glosser, R. (1972) · Physical review. B, Solid state · doi:10.1103/physrevb.6.3941 · Cited by 85 · see citing works
Calculation of the Band Structure and Optical Constants of Diamond Using the Nonlocal-Pseudopotential Method
Hemstreet, L. A., Fong, C. Y., & Cohen, M. L. (1970) · Physical review. B, Solid state · doi:10.1103/physrevb.2.2054 · Cited by 82 · see citing works
Some Optical Properties of Group II‐VI Semiconductors (I)
REYNOLDS, D. C., Litton, C. W., & COLLINS, T. C. (1965) · physica status solidi (b) · doi:10.1002/pssb.19650090302 · Cited by 79 · see citing works
Chiral surface plasmon-enhanced chiral spectroscopy: principles and applications
Mu, X., Hu, L., Cheng, Y., Fang, Y., & Sun, M. (2020) · Nanoscale · doi:10.1039/d0nr06272c · Cited by 74 · see citing works
Interband spectra of As2S3 and As2Se3 crystals and glasses
Drews, R. E., Emerald, R. L., Slade, M. L., & Zallen, R. (1972) · Solid State Communications · doi:10.1016/0038-1098(72)90010-5 · Cited by 70 · see citing works
Optical Properties of a−MnSe
Decker, D. L., & Wild, R. L. (1971) · Physical review. B, Solid state · doi:10.1103/physrevb.4.3425 · Cited by 68 · see citing works
Evaluation and Analysis of Attenuated Total Reflectance FT-IR Spectra Using Kramers-Kronig Transforms
Huang, J., & Urban, M. W. (1992) · Applied Spectroscopy · doi:10.1366/0003702924926970 · Cited by 67 · see citing works
Optical constants and Drude analysis of sputtered zirconium nitride films
Veszelei, M., Andersson, K., Ribbing, C. G., Järrendahl, K., & Arwin, H. (1994) · Applied Optics · doi:10.1364/ao.33.001993 · Cited by 66 · see citing works
The Dielectric Function of Silver Nanoparticle Langmuir Monolayers Compressed through the Metal Insulator Transition
Henrichs, S. E., Collier, C. P., Saykally, R. J., Shen, Y. R., & Heath, J. R. (2000) · Journal of the American Chemical Society · doi:10.1021/ja991543f · Cited by 65 · see citing works
Synthesis and structure of PMN–PT ceramic nanopowder free from pyrochlore phase
Ghasemifard, M., Hosseini, S., & Khorrami, G. H. (2009) · Ceramics International · doi:10.1016/j.ceramint.2009.03.036 · Cited by 64 · see citing works
Temperature Dependence of the Fundamental Spectra of Potassium-Halides in the Schumann Ultraviolet Region (4.4∼13.5 eV)
Tomiki, T., Miyata, T., & Tsukamoto, H. (1973) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.35.495 · Cited by 62 · see citing works
Exciton and Interband Spectra of Crystalline CaO
Whited, R. C., & Walker, W. C. (1969) · Physical Review · doi:10.1103/physrev.188.1380 · Cited by 60 · see citing works
Structure and lattice vibrations of Mg-Al spinel solid solution
Ishii, M., Hiraishi, J., & Yamanaka, T. (1982) · Physics and Chemistry of Minerals · doi:10.1007/bf00309015 · Cited by 58 · see citing works
Optical properties of diamond
Papadopoulos, A. D., & Anastassakis, E. (1991) · Physical review. B, Condensed matter · doi:10.1103/physrevb.43.5090 · Cited by 57 · see citing works
Dispersion Theory, Sum Rules, and Their Application to the Analysis of Optical Data
Smith, D. Y. (1997) · Elsevier eBooks · doi:10.1016/b978-012544415-6.50006-6 · Cited by 68 · see citing works
Optical Properties of Bismuth Tri-Iodide Single Crystals. I Interband Transitions
Komatsu, T., & Kaifu, Y. (1976) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.40.1062 · Cited by 53 · see citing works
Kramers–Kronig analysis of infrared reflection spectra with perpendicular polarization
Yamamoto, K., Masui, A., & Ishida, H. (1994) · Applied Optics · doi:10.1364/ao.33.006285 · Cited by 51 · see citing works
The Reflection Spectra of Simple Salts of the Tetracyanoquinodimethane Anion Radical
Oohashi, Y., & Sakata, T. (1973) · Bulletin of the Chemical Society of Japan · doi:10.1246/bcsj.46.3330 · Cited by 50 · see citing works
Infrared and Raman spectra of lunar samples from Apollo 11, 12 and 14
Perry, C. H., Agrawal, D. K., Anastassakis, E., Lowndes, R. P., Rastogi, A., & Tornberg, N. E. (1972) · Earth Moon and Planets · doi:10.1007/bf00562000 · Cited by 47 · see citing works
Absorption and Reflection Spectra of Pure and ClSO3H Doped Polyacetylene Films
Tanaka, M., Watanabe, A., & Tanaka, J. (1980) · Bulletin of the Chemical Society of Japan · doi:10.1246/bcsj.53.3430 · Cited by 46 · see citing works
Excitation-Photon-Energy Selectivity of Photoconversions in Halogen-Bridged Pd-Chain Compounds: Mott Insulator to Metal or Charge-Density-Wave State
Matsuzaki, H., Iwata, M., Miyamoto, T., Terashige, T., Iwano, K., Takaishi, S., Takamura, M., Kumagai, S., Yamashita, M., Takahashi, R., et al. (2014) · Physical Review Letters · doi:10.1103/physrevlett.113.096403 · Cited by 45 · see citing works
Radiative and Optical Properties of La1−xSrxMnO3 (0≤x≤0.4) in the Vicinity of Metal–Insulator Transition Temperatures from 173 to 413K
Shimazaki, K., Tachikawa, S., Akira Ohnishi, A., & Nagasaka, Y. (2001) · International Journal of Thermophysics · doi:10.1023/a:1012813625195 · Cited by 45 · see citing works
Optical analysis of nanostructured rose bengal thin films using Kramers–Kronig approach: New trend in laser power attenuation
Manthrammel, M. A., Aboraia, A. M., Shkir, M., Yahia, I. S., Assiri, M. A., Zahran, H. Y., Ganesh, V., AlFaify, S. A., & Soldatov, A. V. (2018) · Optics & Laser Technology · doi:10.1016/j.optlastec.2018.11.024 · Cited by 44 · see citing works
Optical Properties of Anthracene Single Crystals
Matsui, A. H., & Ishii, Y. (1967) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.23.581 · Cited by 44 · see citing works
The magneto‐optic Kerr effect and Faraday rotation of CdCr2S4 for radiation between 0.1 and 4 eV
Wittekoek, S., & Rinzema, G. (1971) · physica status solidi (b) · doi:10.1002/pssb.2220440245 · Cited by 44 · see citing works
Determination of thickness and optical constants of thin films from photometric and ellipsometric measurements
Elizalde, E., Frigerio, J. M., & Rivory, J. (1986) · Applied Optics · doi:10.1364/ao.25.004557 · Cited by 43 · see citing works
Chapter 3 – Dispersion Theory, Sum Rules, and Their Application to the Analysis of Optical Data*
Smith, D. Y. (1985) · Elsevier eBooks · doi:10.1016/b978-0-08-054721-3.50008-3 · Cited by 26 · see citing works
Optical Properties of GeSi Alloys in the Energy Region from 1 to 13 eV
Schmidt, E. D. D. (1968) · physica status solidi (b) · doi:10.1002/pssb.19680270105 · Cited by 42 · see citing works
Anomaly in the Infrared Active Phonon Modes and Its Relationship to the Dielectric Constant of (Ba1-xSrx)(Mg 1/3Ta 2/3)O 3 Compound
Nagai, T. N. T., Sugiyama, M., Sando, M., & Niihara, K. (1996) · Japanese Journal of Applied Physics · doi:10.1143/jjap.35.5163 · Cited by 41 · see citing works
Improving Impact Resistance of Polymer Concrete Using CNTs
Daghash, S. M., Soliman, E., Kandil, U. F., & Taha, M. R. (2016) · International Journal of Concrete Structures and Materials · doi:10.1007/s40069-016-0165-4 · Cited by 38 · see citing works
“Spectra were background corrected using a reflective gold slide and converted to absorbance using the Kramers–Kronig equation as per standard FTIR analysis method (Roessler 1965).”
Creep of epoxy–clay nanocomposite adhesive at the FRP interface: A multi-scale investigation
Aboubakr, S. H., Kandil, U. F., & Taha, M. R. (2014) · International Journal of Adhesion and Adhesives · doi:10.1016/j.ijadhadh.2014.04.003 · Cited by 37 · see citing works
Anisotropic Absorption and Reflection Spectra of Poly(ethylene terephthalate) Films in Ultraviolet Region
Ouchi, I. (1983) · Polymer Journal · doi:10.1295/polymj.15.225 · Cited by 37 · see citing works
Fourier Transform Polarization Spectroscopy
Dignam, M. J. (1988) · Applied Spectroscopy Reviews · doi:10.1080/05704928808060454 · Cited by 35 · see citing works
Development of Spectral Selective Multilayer Film for a Variable Emittance Device and Its Radiation Properties Measurements
Shimazaki, K., Akira Ohnishi, A., & Nagasaka, Y. (2003) · International Journal of Thermophysics · doi:10.1023/a:1024044417708 · Cited by 33 · see citing works
Complex Refractive Index Determination of Bulk Materials from Infrared Reflection Spectra
Yamamoto, K., & Masui, A. (1995) · Applied Spectroscopy · doi:10.1366/0003702953964048 · Cited by 33 · see citing works
Doublon-holon pairing mechanism via exchange interaction in two-dimensional cuprate Mott insulators
Terashige, T., Ono, T., Miyamoto, T., Morimoto, T., Yamakawa, H., Kida, N., Ito, T., Sasagawa, T., Tohyama, T., & Okamoto, H. (2019) · Science Advances · doi:10.1126/sciadv.aav2187 · Cited by 32 · see citing works
Phase retrieval in nonlinear optical spectroscopy by the maximum-entropy method: an application to the |χ^(3)| spectra of polysilane
Vartiainen∥, E. M., Peiponen∥, K.-E., Kishida, H., & Koda, T. (1996) · Journal of the Optical Society of America B · doi:10.1364/josab.13.002106 · Cited by 32 · see citing works
Dispersion relation in the third-order electric susceptibility for polysilane film
Kishida, H., Hasegawa, T., Iwasa, Y., Koda, T., & Tokura, Y. (1993) · Physical Review Letters · doi:10.1103/physrevlett.70.3724 · Cited by 32 · see citing works
Optical constants of single-crystal GeS in the photon energy range 0.04–4 eV
Gregora, I., Velicky´, B., & Závětová, M. (1976) · Journal of Physics and Chemistry of Solids · doi:10.1016/0022-3697(76)90048-2 · Cited by 32 · see citing works
Ultrafast photoinduced transitions in charge density wave, Mott insulator, and metallic phases of an iodine-bridged platinum compound
Kimura, K., Matsuzaki, H., Takaishi, S., Yamashita, M., & Okamoto, H. (2009) · Physical Review B · doi:10.1103/physrevb.79.075116 · Cited by 31 · see citing works
Phase-locked photonic wire lasers by π coupling
Khalatpour, A., Reno, J. L., & Hu, Q. (2018) · Nature Photonics · doi:10.1038/s41566-018-0307-0 · Cited by 31 · see citing works
Structural, optical and dielectric studies of Ag nanoparticles decorated by herceptin
Jafarzadeh, N., Nadafan, M., Malekfar, R., Shakeri‐Zadeh, A., Meidanchi, A., & Eynali, S. (2019) · Physica E Low-dimensional Systems and Nanostructures · doi:10.1016/j.physe.2019.113562 · Cited by 30 · see citing works
The polarized reflection and absorption spectra of perylene crystals in monomeric and dimeric forms
Fuke, K., Kaya, K., Kajiwara, T., & Nagakura, S. (1976) · Journal of Molecular Spectroscopy · doi:10.1016/0022-2852(67)90137-3 · Cited by 30 · see citing works
Exciton–Phonon Interaction-Induced Large In-Plane Optical Anisotropy in Two-Dimensional All-Inorganic Perovskite Crystals
Zhou, Y., Li, J., Chen, F., Ma, J., Li, L., & Li, D. (2021) · The Journal of Physical Chemistry Letters · doi:10.1021/acs.jpclett.1c00295 · Cited by 29 · see citing works
Kramers-Kronig analysis applied to reflection-absorption spectroscopy
Yamamoto, K., & Ishida, H. (1997) · Vibrational Spectroscopy · doi:10.1016/s0924-2031(97)00017-9 · Cited by 29 · see citing works
Orientation distribution of liquid‐crystalline polyester sheets studied by polarized infrared spectroscopy
Kaito, A., Kyotani, M., & Nakayama, K. (1993) · Journal of Polymer Science Part B Polymer Physics · doi:10.1002/polb.1993.090310906 · Cited by 28 · see citing works
Improvements in the Kramers-Kronig analysis of reflection spectra
Jezierski, K. (1986) · Journal of Physics C Solid State Physics · doi:10.1088/0022-3719/19/12/022 · Cited by 28 · see citing works
Polarized Absorption and Reflection Spectra of the Single Crystals of Benzidine–7,7,8,8-Tetracyano-p-quinodimethane Molecular Complexes
Yakushi, K., Iguchi, M., & Kuroda, H. (1979) · Bulletin of the Chemical Society of Japan · doi:10.1246/bcsj.52.3180 · Cited by 28 · see citing works
Attosecond absorption and reflection spectroscopy of solids
Palo, N. D., Inzani, G., Dolso, G. L., Talarico, M., Bonetti, S., & Lucchini, M. (2024) · APL Photonics · doi:10.1063/5.0176656 · Cited by 28 · see citing works
Vertical graphene sheets as a lightweight light absorber
Davami, K., Cortes, J., Hong, N., & Bargatin, I. (2015) · Materials Research Bulletin · doi:10.1016/j.materresbull.2015.10.041 · Cited by 27 · see citing works
Optical Constants of YVO4 Between 2 and 25 eV
Kingsley, J. D., & Ludwig, G. W. (1970) · Journal of Applied Physics · doi:10.1063/1.1658350 · Cited by 27 · see citing works
A comprehensive study of X-ray peak broadening and optical spectrum of Cu2ZnSnS4 nanocrystals for the determination of microstructural and optical parameters
Mora-Herrera, D., & Pal, M. (2022) · Applied Physics A · doi:10.1007/s00339-022-06137-0 · Cited by 26 · see citing works
“This phase change can be derived from KK dispersion relation (29) [45]: (26) KK{ }( ) = 2 ∫ ∞”
BackgroundMethodInfluential
Exciton Structure in the Ultraviolet Spectra of KI and RbI†*
Roessler, D. M., & Walker, W. C. (1967) · Journal of the Optical Society of America · doi:10.1364/josa.57.000677 · Cited by 26 · see citing works
Self-citation
Study of the Reflection Spectrum of Crystalline Anthracene: Evidence for the Existence of Defects
MORRIS, G. C., Rice, S. A., & Martin, A. E. (1970) · The Journal of Chemical Physics · doi:10.1063/1.1672753 · Cited by 26 · see citing works
Kramers–Kronig calculations for linear and nonlinear optics of nanostructured methyl violet (CI-42535): New trend in laser power attenuation using dyes
Assiri, M. A., Manthrammel, M. A., Aboraia, A. M., Yahia, I. S., Zahran, H. Y., Ganesh, V., Shkir, M., AlFaify, S. A., & Soldatov, A. V. (2018) · Physica B Condensed Matter · doi:10.1016/j.physb.2018.09.040 · Cited by 25 · see citing works
Keldysh Space Control of Charge Dynamics in a Strongly Driven Mott Insulator
Li, X., Ning, H., Mehio, O., Zhao, H., Lee, M., Kim, K. W., Nakamura, F., Maeno, Y., Cao, G., & Hsieh, D. (2022) · Physical Review Letters · doi:10.1103/physrevlett.128.187402 · Cited by 25 · see citing works
“[11] to perform such a regional KK analysis.”
Method
Single-angle reflectance spectroscopy to determine the optical constants n and k: considerations in the far-infrared domain
DeVetter, B. M., Scharko, N. K., Cannon, B. D., Myers, T. L., & Johnson, T. J. (2018) · Applied Optics · doi:10.1364/ao.57.006587 · Cited by 25 · see citing works
Syntheses, Structures, and Solid State Properties of One-Dimensional Halogen-Bridged Ni111−X-Ni111Compounds (X˭Cl and Br)
Toriumi, K., Okamoto, H., Mitani, T., Bandow, S., Yamashita, M., Wada, Y., Fujii, Y., Clark, R. J. H., Michael, D. J., Edward, A. J., et al. (1990) · Molecular Crystals and Liquid Crystals Incorporating Nonlinear Optics · doi:10.1080/00268949008036017 · Cited by 25 · see citing works
Optical parameters from reflectance data. A new and versatile approach
Sceats, M. G., & MORRIS, G. C. (1972) · physica status solidi (a) · doi:10.1002/pssa.2210140233 · Cited by 25 · see citing works
Far-i.r. reflection spectrum and normal vibrations of red mercuric iodide crystal
Ogawa, Y., Harada, I., Matsuura, H., & Shimanouchi, T. (1976) · Spectrochimica Acta Part A Molecular Spectroscopy · doi:10.1016/0584-8539(76)80051-7 · Cited by 25 · see citing works
Improved Kramers–Kronig Dispersion Analysis of Infrared Reflectance Data for Lithium Fluoride*
Wu, C., & Andermann, G. (1968) · Journal of the Optical Society of America · doi:10.1364/josa.58.000519 · Cited by 24 · see citing works
A linear-equations algorithm for reflectivity extrapolation determination in Kramers-Kronig analysis
Jezierski, K. (1984) · Journal of Physics C Solid State Physics · doi:10.1088/0022-3719/17/3/019 · Cited by 24 · see citing works
Optical response and structural properties of Fe-doped Pb(Zr0.52Ti0.48)O3 nanopowders
Pakizeh, E. (2020) · Journal of Materials Science Materials in Electronics · doi:10.1007/s10854-020-03050-1 · Cited by 23 · see citing works
Transverse and longitudinal lattice frequencies and interionie potential in some AMF3 perovskite fluoride crystals
Nakagawa, I. (1973) · Spectrochimica Acta Part A Molecular Spectroscopy · doi:10.1016/0584-8539(73)80208-9 · Cited by 23 · see citing works
Far-infrared Reflection Spectra, Optical and Dielectric Constants, and Lattice Vibrations of Some Fluoride Crystals
Nakagawa, I. (1971) · Bulletin of the Chemical Society of Japan · doi:10.1246/bcsj.44.3014 · Cited by 23 · see citing works
Absorption Band Profile of the Origin Region of the b Polarized 4000 Å Anthracene Crystal Transition
MORRIS, G. C., Rice, S. A., Sceats, M. G., & Martin, A. E. (1971) · The Journal of Chemical Physics · doi:10.1063/1.1675728 · Cited by 23 · see citing works
Impact of Pressure and Temperature on the Broadband Dielectric Response of the HKUST-1 Metal–Organic Framework
Babal, A. S., Donà, L., Ryder, M. R., Titov, K., Chaudhari, A. K., Zeng, Z., Kelley, C. S., Frogley, M. D., Cinque, G., Civalleri, B., et al. (2019) · The Journal of Physical Chemistry C · doi:10.1021/acs.jpcc.9b08125 · Cited by 22 · see citing works
Fabrication of a Stable New Polymorph Gold Nanowire with Sixfold Rotational Symmetry
Lee, S., Bae, C., Lee, J., Lee, S., Oh, S. H., Kim, J., Park, G., Jung, H. S., & Shin, H. (2018) · Advanced Materials · doi:10.1002/adma.201706261 · Cited by 22 · see citing works
Optical and Chemical Characterization of Uranium Dioxide (UO2) and Uraninite Mineral: Calculation of the Fundamental Optical Constants.
DeVetter, B. M., Myers, T. L., Cannon, B., Scharko, N. K., Kelly-Gorham, M. R. K., Corbey, J., Schemer-Kohrn, A., Resch, C., Reilly, D. D., & Johnson, T. J. (2018) · Journal of Physical Chemistry A · doi:10.1021/acs.jpca.8b05943 · Cited by 29 · see citing works
Sodium Chloride (NaCl)
Eldridge, J. E., & Palik, E. D. (1997) · Elsevier eBooks · doi:10.1016/b978-012544415-6.50041-8 · Cited by 22 · see citing works
Optical Constants of Simple Molecular Crystals. I. Results for CO and O2
Scharber, S. R., & Webber, S. E. (1971) · The Journal of Chemical Physics · doi:10.1063/1.1676688 · Cited by 22 · see citing works
Kramers—Kronig analysis of infrared reflection spectra with parallel polarization for isotropic materials
Yamamoto, K., & Ishida, H. (1994) · Spectrochimica Acta Part A Molecular Spectroscopy · doi:10.1016/0584-8539(93)e0019-s · Cited by 21 · see citing works
Infrared Reflection Absorption Spectroscopy of Photoresist Films on Silicon Wafers: Measuring Film Thickness and Removing Interference Fringes
Gamsky, C. J., Howes, G. R., & Taylor, J. W. (1994) · Analytical Chemistry · doi:10.1021/ac00079a015 · Cited by 21 · see citing works
Dispersion relations and sum rules for the normal reflectance of conductors and insulators
King, F. W. (1979) · The Journal of Chemical Physics · doi:10.1063/1.438257 · Cited by 17 · see citing works

Kramers - Kronig analysis of non-normal incidence reflection
Roessler, D. M. (1965) · British Journal of Applied Physics · doi:10.1088/0508-3443/16/9/317 · Cited by 117 · see citing works
Self-citation
Kramers - Kronig analysis of reflectance data: III. Approximations, with reference to sodium iodide
Roessler, D. M. (1966) · British Journal of Applied Physics · doi:10.1088/0508-3443/17/10/309 · Cited by 95 · see citing works
Self-citation
Infrared refraction spectroscopy - Kramers-Kronig analysis revisited
Mayerhöfer, T. G., Ivanovski, V., & Popp, J. (2021) · Spectrochimica Acta Part A Molecular and Biomolecular Spectroscopy · doi:10.1016/j.saa.2021.120799 · Cited by 61 · see citing works
Kramers-Kronig Analysis of Reflectance Data for Diamond
Phillip, H. R., & Taft, E. A. (1964) · Physical Review · doi:10.1103/physrev.136.a1445 · Cited by 348 · see citing works
Use of x-ray scattering functions in Kramers-Kronig analysis of reflectance
Tanner, D. B. (2015) · Physical Review B · doi:10.1103/physrevb.91.035123 · Cited by 133 · see citing works

Authors: Roessler, D. M.
Affiliations: University of London (GB)
Corresponding author: Roessler, D M
Venue: British Journal of Applied Physics
Publisher: IOP Publishing
Published: 1965-08
Volume: 16
Issue: 8
Pages: 1119-1123
ISSN: 0508-3443 (ISSN-L)
DOI: 10.1088/0508-3443/16/8/310
OpenAlex: W2056222652
Cited by: 264
References: 6
Citations by year: 2026: 4 · 2025: 7 · 2024: 10 · 2023: 2 · 2022: 8 · 2021: 4 · 2020: 7 · 2019: 8 · 2018: 17 · 2017: 3 · 2016: 5 · 2015: 6 · 2014: 6 · 2013: 2 · 2012: 2
FWCI: 16.24
Type: journal article
Language: en
Open access: closed
Locations: British Journal of Applied Physics (publishedVersion)
Topics: Physical Sciences › Engineering › Biomedical Engineering › Optical Polarization and Ellipsometry
Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Optical and Acousto-Optic Technologies
Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Electrical and Electromagnetic Research
Keywords: Kramers-Kronig dispersion relations, reflectance spectroscopy, optical constants, dielectric properties, normal incidence reflectance, potassium iodide

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review

Kramers-Kronig analysis of reflection data

Abstract

Integrity signals

Claims the paper makes

Claims other papers make about this one

Cites

Cited by

Related

Record

About these checks