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We are concerned with the geometric properties of the surface plasmon resonance (SPR). SPR is a non-radiative electromagnetic surface wave that propagates in a direction parallel to the negative permittivity/dielectric material interface.…

Analysis of PDEs · Mathematics 2020-09-09 Habib Ammari , Yat Tin Chow , Hongyu Liu

In this research we present a theory of the surface plasmon resonance (SPR) effect based on the dual length-scale driven damped collective quantum oscillations of the spill-out electrons in plasmonic material surface. The metallic electron…

Mesoscale and Nanoscale Physics · Physics 2023-02-28 M. Akbari-Moghanjoughi

This paper investigates surface polariton resonance (SPR) in three-dimensional elastic metamaterials with nanorod geometry. The primary motivation is to surpass the physical limitations imposed by the quasi-static approximation for SPRs…

Mathematical Physics · Physics 2025-12-22 Youjun Deng , Hongyu Liu , Wanjing Tang , Guang-Hui Zheng

The `system-plus-reservoir' (SPR) model is the most common and effective approach to study quantum dissipative effects. Indeed, it makes quantization possible by considering the whole energy-conserving system, while the reservoir's degrees…

Statistical Mechanics · Physics 2012-04-19 Alessandro Cuccoli , Niccolò Del Sette , Ruggero Vaia

The Neumann--Poincar\'{e} (NP) operator, a fundamental operator in potential theory, has attracted renewed attention for its central role in the analysis of surface plasmon resonances (SPRs). SPRs, characterized by non-radiative…

Analysis of PDEs · Mathematics 2026-02-04 Bochao Chen , Yixian Gao , Hongyu Liu

Surface Plasmon Resonance (SPR) offers a powerful tool for label-free and non-invasive characterization of biomolecular interactions. To date, several experimental configurations, based on two fundamental physical phenomena, e.g.,…

Optics · Physics 2022-11-15 Nishant Shukla , Pawan Chetri , Ratan Boruah , Ankur Gogoi , Gazi A Ahmed

The measurement of in-plane birefringence ($\Delta{n}$) of ultrathin film is challenging due to a significant deviation of physical properties of materials in ultrathin regime as compared to that in bulk state. Surface plasmon resonance…

Soft Condensed Matter · Physics 2021-01-21 Amrit Kumar , Raj Kumar Gupta , V. Manjuladevi , Ashutosh Joshi

We investigate the use of twin-mode quantum states of light with symmetric statistical features in their photon number for improving intensity-sensitive surface plasmon resonance (SPR) sensors. For this purpose, one of the modes is sent…

A scheme for a surface plasmon resonance system under conditions of electromagnetically induced transparency (EIT) is proposed. The system is composed of three layers: a prism, a thin metal film, and a hybrid dielectric consisting of EIT…

Optics · Physics 2015-06-03 Chunguang Du

This paper is concerned with the analysis of time-harmonic electromagnetic scattering from plasmonic inclusions in the finite frequency regime beyond the quasi-static approximation. The electric permittivity and magnetic permeability in the…

Analysis of PDEs · Mathematics 2019-01-29 Hongjie Li , Shanqiang Li , Hongyu Liu , Xianchao Wang

The sheath plasma resonance (SPR) in an inverted fireball (IFB) system is semi-analytically investigated using a generalized hydrodynamic isothermal model formalism. It incorporates the constitutive ionic fluid viscosity, inter-species…

Plasma Physics · Physics 2024-11-11 Subham Dutta , Johannes Gruenwald , Pralay Kumar Karmakar

This review explores the evolution of Surface Plasmon Resonance (SPR) spectroscopy and sensing, transitioning from fundamental studies of adsorption-desorption kinetics to the sophisticated sensing with Electropolymerized Molecularly…

Materials Science · Physics 2026-02-24 Rigoberto Advincula , Jihua Chen

We consider plasmon resonances and cloaking for the elastostatic system in $\mathbb{R}^3$ via the spectral theory of Neumann-Poincar\'e operator. We first derive the full spectral properties of the Neumann-Poincar\'e operator for the 3D…

Analysis of PDEs · Mathematics 2017-02-22 Youjun Deng , Hongjie Li , Hongyu Liu

When a sculptured thin film (STF), made of a metal and $\leq50$ nm thick, is used in lieu of a dense layer of metal in the Kretschmann configuration, experimental data for an STF comprising parallel tilted nanowires shows that a surface…

Optics · Physics 2009-11-13 Ibrahim Abdulhalim , Akhlesh Lakhtakia , Amit Lahav , Fan Zhang , Jian Xu

A moving parallel frame method is applied to geometric non-stretching curve flows in the Hermitian symmetric space Sp(n)/U(n) to derive new integrable systems with unitary invariance. These systems consist of a bi-Hamiltonian modified…

Exactly Solvable and Integrable Systems · Physics 2016-09-09 Stephen C. Anco , Esmaeel Asadi , Asieh Dogonchi

A broadband detection method with coherent laser pulses exciting surface plasmons is investigated. The intensity and phase characteristics of the reflected light in Kretschmann configuration are calculated. It is shown that by mixing…

Instrumentation and Detectors · Physics 2018-11-14 Alexandre Kolomenskii , Elizabeth Surovic , Hans Schuessler

Localized surface plasmon resonances (LSPRs) have recently been identified in extremely diluted electron systems obtained by doping semiconductor quantum dots. Here we investigate the role that different surface effects, namely electronic…

Optics · Physics 2015-04-29 R. Carmina Monreal , Tomasz J. Antosiewicz , S. Peter Apell

The collective excitation of the conduction electrons in subwavelength structures gives rise to the Localized Surface Plasmon(LSP). The system consisting of two such LSPs, known as the dimer system,is of fundamental interest and is being…

Mesoscale and Nanoscale Physics · Physics 2014-03-19 Bo Liu , Eric J. Heller

The propagation of light through opaque materials, served by periodic arrays of subwavelength holes, has revolutionized imaging and sensor technology with a breakthrough of extraordinary optical transmission (EOT). The enhanced optical…

Optics · Physics 2026-02-06 Hira Asif , Ramazan Sahin

In this paper, we develop a general mathematical framework for analyzing electostatics within multi-layered metamaterial structures. The multi-layered structure can be designed by nesting complementary negative and regular materials…

Analysis of PDEs · Mathematics 2025-12-18 Youjun Deng , Lingzheng Kong , Zijia Peng , Liyan Zhu
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