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The concept of z-scaling reflecting the general features of internal particle substructure, constituent interaction and mechanism of particle formation at high-pT is reviewed. Experimental data on inclusive cross sections obtained at U70,…

High Energy Physics - Phenomenology · Physics 2009-09-29 M. V. Tokarev

The explicit dispersion equation for a one-dimensional periodic structure with alternative layers of left-handed material (LHM) and right-handed material (RHM) is given and analyzed. Some abnormal phenomena such as spurious modes with…

Materials Science · Physics 2007-05-23 Liang Wu , Sailing He , Linfang Shen

The physical aspects of partially coherent radiation interacting with deterministic non-Hermitian periodic materials remain largely unexplored in the statistical optics literature. Here, we consider the scattering of partially coherent…

Optics · Physics 2019-10-02 Paulo A. Brandão , S. B. Cavalcanti

We theoretically and numerically investigate the scattering behavior of a periodic parity-time (PT)-symmetric waveguide network composed of a finite number of unit cells. Specifically, we put forward rigorous and formally exact expressions…

Optics · Physics 2022-11-22 Jeng Yi Lee , Pai-Yen Chen

Epsilon near zero (ENZ) materials can dramatically enhance local optical fields, enabling nonlinear interactions at relatively low intensities. Yet, near their plasma frequency, conventional isotropic ENZ media remain highly absorptive,…

Symmetries and tunability are of fundamental importance in wave scattering control, but symmetries are often obvious upon visual inspection which constitutes a significant vulnerability of metamaterial wave devices to reverse-engineering…

Applied Physics · Physics 2023-05-02 Jérôme Sol , Malte Röntgen , Philipp del Hougne

The scattering matrix $S$ obeys the unitary relation $S^\dagger S=1$ in a Hermitian system and the symmetry property ${\cal PT}S{\cal PT}=S^{-1}$ in a Parity-Time (${\cal PT}$) symmetric system. Here we report a different symmetry relation…

Optics · Physics 2016-10-25 Li Ge , Liang Feng

We show that, under appropriate oblique-incidence and polarization conditions, the inherent opaqueness of a homogeneous, isotropic single-negative slab may be perfectly compensated (in the ideal lossless case) by a homogenous, anisotropic…

Optics · Physics 2016-04-27 Giuseppe Castaldi , Vincenzo Galdi , Andrea Alu' , Nader Engheta

We introduce a one-dimensional system combining the $\mathcal{PT}$-symmetric complex periodic potential and the $\chi ^{(2)}$ (second-harmonic-generating) nonlinearity. The imaginary part of the potential, which represents spatially…

Pattern Formation and Solitons · Physics 2013-08-23 F. C. Moreira , V. V Konotop , B. A. Malomed

We study the compact localized scattering resonances of periodic and aperiodic chains of dipolar nanoparticles by combining the powerful Equitable Partition Theorem (EPT) of graph theory with the spectral dyadic Green's matrix formalism for…

The Moir\'e patterns generated by altering the structural parameters in a two or more layers of periodic materials, including single-layer structure, interlayer stacking, and twisting parameters, exhibit prosperous topological physical…

Mesoscale and Nanoscale Physics · Physics 2024-02-20 Peng Peng , Yuchen Peng , Aoqian Shi , Xiaogen Yi , Yizhou Wei , Jianjun Liu

We show that PT-symmetry may exist only for isolated frequencies in optical systems. Therefore, PT-symmetry breaking transitions as the frequency is tuned up, discussed in Y. D. Chong, L. Ge, and A. D. Stone, Phys. Rev. Lett. 106, 093902…

Materials Science · Physics 2012-05-15 A. A. Zyablovsky , A. P. Vinogradov , A. V. Dorofeenko , A. A. Pukhov , A. A. Lisyansky

We investigate the scattering of scalar harmonic source fields by a periodic pillar, that is, a spatial structure that is periodic in one dimension and of finite extent in the other two. Uniqueness of scattering solutions can be abstracted…

Mathematical Physics · Physics 2011-11-21 Hairui Tu

We derive the $\mathcal{T}$-matrix formalism tailored for numerical analysis of second-harmonic (SH) generation from arbitrarily shaped particles made of centrosymmetric optical materials. First, the transfer matrix of a single particle is…

Optics · Physics 2025-08-18 Ivan Sekulic , Ji Tong Wang , Jian Wei You , Nicolae C. Panoiu

We investigate the properties of multidimensional parity-time symmetric periodic systems whose non-Hermitian periodicity is an integer multiple of the underlying Hermitian system's periodicity. This creates a natural set of degeneracies…

Optics · Physics 2016-05-25 Alexander Cerjan , Aaswath Raman , Shanhui Fan

The scattering of electromagnetic wave by a periodic array of nanowires is calculated by the boundary element method. The method is extended to the infinite grating near the interface between two dielectrics. A special Green function is…

We show that non-linear optical structures involving a balanced gain-loss profile, can act as unidirectional optical valves. This is made possible by exploiting the interplay between the fundamental symmetries of parity (P) and time (T),…

Parity-time (PT) symmetry and broken in micro/nano photonic structures have been investigated extensively as they bring new opportunities to control the flow of light based on non-Hermitian optics. Previous studies have focused on the…

Optics · Physics 2022-07-20 Qi Zhang , Yun Ma , Qi Liu , Xinchen Zhang , Yali Jia , Limin Tong , Qihuang Gong , Ying Gu

We investigate temporal scattering in lossless Drude media and reveal an overlooked role of the zero-frequency flat band associated with static polarization charge. This flat band forms an exceptional line spanning all wavenumbers and can…

Optics · Physics 2025-11-03 Neng Wang , Shuyong Chen , Guo Ping Wang

The phenomenological theory revealing the generic effects of the problem symmetry, its violation, and energy conservation law on the singularities of the Poynting vector field is presented. The bifurcation scenario of their formation…

Optics · Physics 2024-01-18 Michael I. Tribelsky