Divergence of Light Wave Amplitudes in an Interface Layer at Critical Conditions
Abstract
The amplitudes of light modes in a homogeneous interface layer are investigated around the critical conditions (CC) in a total reflection geometry. CC occur when the normal wave vector vanishes; the resulting divergence upon variation of the angle of incidence is characterized by a critical exponent -0.5. Absorption replaces the divergence with a finite peak whose width and height are derived analytically. The high relevance of the amplification for Evanescent Wave Dynamic Light Scattering (EWDLS) is demonstrated using published experimental data. The relation to surface plasmon resonance (SPR) is briefly discussed. An outlook connects the amplitude divergence to a critical analysis of the Distorted Wave Born Approximation (DWBA) presented in a companion paper.
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BibTeX
@misc{sigel2026divergence,
title = {{Divergence of Light Wave Amplitudes in an Interface Layer at Critical Conditions}},
author = {Reinhard Eduard Sigel},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2606.16841},
eprint = {2606.16841},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.16841},
}
RIS
TY - UNPB
TI - Divergence of Light Wave Amplitudes in an Interface Layer at Critical Conditions
AU - Reinhard Eduard Sigel
PY - 2026
DA - 2026/10/15
PB - arXiv
DO - 10.48550/arxiv.2606.16841
UR - https://arxiv.org/abs/2606.16841
AB - The amplitudes of light modes in a homogeneous interface layer are investigated around the critical conditions (CC) in a total reflection geometry. CC occur when the normal wave vector vanishes; the resulting divergence upon variation of the angle of incidence is characterized by a critical exponent -0.5. Absorption replaces the divergence with a finite peak whose width and height are derived analytically. The high relevance of the amplification for Evanescent Wave Dynamic Light Scattering (EWDLS) is demonstrated using published experimental data. The relation to surface plasmon resonance (SPR) is briefly discussed. An outlook connects the amplitude divergence to a critical analysis of the Distorted Wave Born Approximation (DWBA) presented in a companion paper.
ER -