Dispersion relations for complex reflectivities
Abstract
A simplified derivation of the dispersion relations connecting the phase and amplitude of the normal optical reflectivity of a vacuum-matter interface is presented. The non-Kramers-Kronig form of the expression for reflectivity in terms of phase is shown to be a consequence of the fact that amplitudes are determined only up to a multiplicative constant by the phase. The phase, however, is uniquely determined by the amplitude.
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The φ0 term is mostly known to have a value of zero for insulators and metals.
“The φ 0 term is mostly known to have a value of zero for insulators and metals [15, 26, 28, 31].”
From Robust phase correction techniques for terahertz time-domain reflection spectroscopy (2024) · cites this paper as [31]
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 [31]
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 [31]
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“…1956; Stern, 1963; Young, 1977; Plaskett & Schatz, 1963; Vinogradov et al., 1988; Sheik-Bahae, 2005; Lucarini et al., 2005; Nash et al., 1995; Smith, 1977; Lee & Sindoni, 1997; André et al., 2010) that generally an integral in the form (8) ambiguously defines the dependence between the 234…”
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“The φ 0 term is mostly known to have a value of zero for insulators and metals [15, 26, 28, 31].”
CHAPTER 11 – OPTICAL CONSTANTS
Lynch, D. (1987) · Elsevier eBooks · doi:10.1016/b978-0-444-87046-9.50032-6
- Authors
- Smith, D. Y.
- Affiliations
- Argonne National Laboratory (US)
- Corresponding author
- Smith, D. Y.
- Venue
- Journal of the Optical Society of America
- Publisher
- Optica Publishing Group
- Published
- 1977-04-01
- Volume
- 67
- Issue
- 4
- Pages
- 570
- ISSN
- 0030-3941 (ISSN-L)
- OpenAlex
- W1996892140
- Cited by
- 31
- References
- 6
- Citations by year
- 2023: 1 · 2022: 3 · 2020: 1 · 2019: 1 · 2017: 1 · 2015: 1 · 2013: 1
- FWCI
- 0.59
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of the Optical Society of America (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and Classical Electrodynamics
- Physical Sciences › Engineering › Biomedical Engineering › Optical Polarization and Ellipsometry
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Photorefractive and Nonlinear Optics
- Keywords
- dispersion relation, optical reflectivity, complex reflectivity, Kramers-Kronig relations, normal incidence
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