Annalen der Physik最新文献

{"title":"Breaking the Limits of Meta‑Optical Imaging: Artificial Intelligence for Color, Aberration, Speed, Depth, and Resolution","authors":"Zhikai Hu,&nbsp;Yongxing Jin,&nbsp;Manna Gu,&nbsp;Qin Hanlin,&nbsp;Xufeng Jing","doi":"10.1002/andp.70247","DOIUrl":"https://doi.org/10.1002/andp.70247","url":null,"abstract":"<div>\u0000 \u0000 <p>The integration of artificial intelligence (AI) with meta-optics represents a groundbreaking shift in the development of advanced imaging technologies for the future. Meta‑optical elements, particularly metalenses, offer unprecedented capabilities for wavefront manipulation in ultra‑compact form factors, yet they face inherent challenges including strong chromatic aberration, severe off‑axis aberrations, limited depth of field, and fundamental trade‑offs between numerical aperture, field of view, and resolution. AI, ranging from deep learning‑based post‑processing to end‑to‑end differentiable optimization, provides a powerful toolkit to address these limitations, enabling meta‑optical imagers to achieve performance levels that rival or even surpass conventional bulky optics. We systematically review recent advances in AI‑empowered meta‑optical imaging across five key functional directions: full‑color imaging, aberration‑correction imaging, real‑time imaging, depth/three-dimension imaging, and high‑resolution imaging.</p>\u0000 </div>","PeriodicalId":7896,"journal":{"name":"Annalen der Physik","volume":"538 7","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148466950","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Fourier Expansion-Based Approach to the Parameter Space of Classical Systems","authors":"Marcos J. Hernández,&nbsp;Daniel Gutiérrez-Ruiz,&nbsp;Diego Gonzalez,&nbsp;J. David Vergara","doi":"10.1002/andp.70244","DOIUrl":"https://doi.org/10.1002/andp.70244","url":null,"abstract":"<p>We propose a new approach to compute the classical metric tensor (CMT) and the Hannay curvature using Fourier series expansions in action-angle variables. This approach circumvents the need for complex time-domain integrals or the construction of generating functions, replacing them with algebraic combinations of Fourier coefficients. We prove the equivalence of this method to previous approaches and validate it using the generalized harmonic oscillator. We also apply this approach to the non-integrable Pullen-Edmonds model to compute the CMT and compare it with its quantum counterpart, finding a good agreement between them, except near KAM resonant frequencies, which lead to the destruction of invariant tori. By applying Padé approximants, we extend the range of validity of the CMT. This work confirms a deep semiclassical correspondence between classical and quantum information geometric structures, offering a robust tool for future studies.</p>","PeriodicalId":7896,"journal":{"name":"Annalen der Physik","volume":"538 7","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/andp.70244","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148466639","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Nanoplasmonics for Sensing, Spectroscopy, Emission Modulation, and Chiral Light-Matter Interaction","authors":"Ankit K. Singh,&nbsp;Zhan-Hong Lin,&nbsp;Abhik Chakraborty,&nbsp;A. T. Mina Yeşilyurt,&nbsp;Karthika S. Sunil,&nbsp;Jer-Shing Huang","doi":"10.1002/andp.202400258","DOIUrl":"https://doi.org/10.1002/andp.202400258","url":null,"abstract":"<div>\u0000 \u0000 <p>Rationally designed plasmonic nanostructures enable precise modulation of light–matter interactions by confining and enhancing electromagnetic fields at the nanoscale. By tuning parameters such as material, shape, size, and spatial arrangement, these systems can be optimized for specific optical responses, offering vast potential across nanooptics. Their ability to control light at subwavelength scales has positioned nanoplasmonics at the forefront of applications including biosensing, surface-enhanced Raman spectroscopy, photovoltaic light harvesting, optoelectronics, and nanomedicine, driving transformative advances in science and technology. Despite their strengths, plasmonic systems suffer from significant optical losses due to the intrinsic properties of metals like gold and silver. These losses, primarily from Ohmic damping, convert optical energy into heat and limit performance in some applications. Nevertheless, plasmonic structures retain a key advantage in scenarios requiring strong field confinement, where dielectric systems typically fall short. This review focuses on areas where plasmonic nanostructures remain particularly effective, such as sensing, surface-enhanced spectroscopy, emission modulation, and nonlinear optics. Selected examples are presented to illustrate fundamental principles and recent developments, offering a comprehensive guide for researchers exploring nanoplasmonics in these targeted applications.</p>\u0000 </div>","PeriodicalId":7896,"journal":{"name":"Annalen der Physik","volume":"538 7","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148466638","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Harnessing Molecular Dipoles for Tunable Electronics in Iridate Films at the Solid–Liquid Interface","authors":"Boyi Liu,&nbsp;Yao Li,&nbsp;Yangyang Ren,&nbsp;Shuhan Zheng,&nbsp;Meifeng Liu,&nbsp;Zhen Ma,&nbsp;Yongjun Zhang,&nbsp;Yunlong Xie,&nbsp;Xiuzhang Wang,&nbsp;Hong Li,&nbsp;Jun-Ming Liu,&nbsp;Di Wu","doi":"10.1002/andp.202500492","DOIUrl":"https://doi.org/10.1002/andp.202500492","url":null,"abstract":"<div>\u0000 \u0000 <p>At the solid heterointerfaces between transition metal oxides, a variety of emergent physical phenomena have been widely explored over the years. In contrast, solid–liquid interfaces between oxides and molecular liquids have received relatively less attention in the transition metal oxide community, partly because such systems are often perceived as electronically robust and weakly tunable. Here, we show that the 5<i>d</i> oxide SrIrO₃ exhibits increased in situ resistance in molecular liquid environments, owing to promoted molecular adsorption and delocalized <i>d</i> electrons arising from strong metal-oxygen covalency. Notably, capping with toluene or ice further enhances the intrinsic Anderson-localization-driven metal-insulator transition in the SrIrO₃ film. This effect originates from electrostatic modulation by dipoles of physisorbed molecules. Moreover, reversible switching between high- and low-resistance states in SrIrO₃ is achieved using a liquid crystal capping medium, where the molecular dipole orientation can be electrically controlled. This work demonstrates that dipoles in molecular liquids can effectively reconstruct the electronic states at the surface of iridate oxide films, offering promising opportunities for sensing and optoelectronic applications.</p>\u0000 </div>","PeriodicalId":7896,"journal":{"name":"Annalen der Physik","volume":"538 6","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148462804","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Actual and Weak Actual Values in Bohmian Mechanics","authors":"Weixiang Ye","doi":"10.1002/andp.70229","DOIUrl":"https://doi.org/10.1002/andp.70229","url":null,"abstract":"<div>\u0000 \u0000 <p>We systematically analyze Holland's local expectation values within Bohmian mechanics, referring to them as weak actual values to emphasize their connection with weak measurement theory. We derive the exact time evolution equation for these quantities along a Bohmian trajectory and formally establish their correspondence with the real part of the weak value under position postselection. The explanatory power of this framework is demonstrated by revisiting a recent waveguide experiment: we show that the measured quantity corresponds to the imaginary part of the momentum weak value, which reflects the spatial decay of the wave field, not the particle velocity. This cleanly clarifies the distinct physical roles of the real and imaginary parts of weak values.</p>\u0000 </div>","PeriodicalId":7896,"journal":{"name":"Annalen der Physik","volume":"538 7","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148386377","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Spin-\u0000 \u0000 s\u0000 $s$\u0000 \u0000 \u0000 \u0000 U\u0000 (\u0000 1\u0000 )\u0000 \u0000 $U(1)$\u0000 -Eigenstate Preparation","authors":"Nabi Zare Harofteh,&nbsp;Rafael I. Nepomechie","doi":"10.1002/andp.70239","DOIUrl":"https://doi.org/10.1002/andp.70239","url":null,"abstract":"&lt;p&gt;We formulate a deterministic algorithm for preparing a general &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;U&lt;/mi&gt;\u0000 &lt;mo&gt;(&lt;/mo&gt;\u0000 &lt;mn&gt;1&lt;/mn&gt;\u0000 &lt;mo&gt;)&lt;/mo&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$U(1)$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt;-eigenstate of a spin-&lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mi&gt;s&lt;/mi&gt;\u0000 &lt;annotation&gt;$s$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; chain of length &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mi&gt;n&lt;/mi&gt;\u0000 &lt;annotation&gt;$n$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt;. These states consist of linear combinations of computational basis states &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mo&gt;|&lt;/mo&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;mover&gt;\u0000 &lt;mi&gt;m&lt;/mi&gt;\u0000 &lt;mo&gt;⃗&lt;/mo&gt;\u0000 &lt;/mover&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mo&gt;⟩&lt;/mo&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$|vec{m}rangle$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; of &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mi&gt;n&lt;/mi&gt;\u0000 &lt;annotation&gt;$n$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; qudits, each with &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mo&gt;(&lt;/mo&gt;\u0000 &lt;mn&gt;2&lt;/mn&gt;\u0000 &lt;mi&gt;s&lt;/mi&gt;\u0000 &lt;mo&gt;+&lt;/mo&gt;\u0000 &lt;mn&gt;1&lt;/mn&gt;\u0000 &lt;mo&gt;)&lt;/mo&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$(2s+1)$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; levels and &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;s&lt;/mi&gt;\u0000 &lt;mo&gt;=&lt;/mo&gt;\u0000 &lt;mn&gt;1&lt;/mn&gt;\u0000 &lt;mo&gt;/&lt;/mo&gt;\u0000 &lt;mn&gt;2&lt;/mn&gt;\u0000 &lt;mo&gt;,&lt;/mo&gt;\u0000 &lt;mn&gt;1&lt;/mn&gt;\u0000 &lt;mo&gt;,&lt;/mo&gt;\u0000 &lt;mn&gt;3&lt;/mn&gt;\u0000 &lt;mo&gt;/&lt;/mo&gt;\u0000 &lt;mn&gt;2&lt;/mn&gt;\u0000 &lt;mo&gt;,&lt;/mo&gt;\u0000 &lt;mtext&gt;…&lt;/mtext&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$s= 1/2, 1, 3/2, ldots$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt;, whose ditstrings &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mover&gt;\u0000 &lt;mi&gt;m&lt;/mi&gt;\u0000 &lt;mo&gt;⃗&lt;/mo&gt;\u0000 &lt;/mover&gt;\u0000 &lt;annotation&gt;$vec{m}$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; have a fixed digit sum. Exploiting a Gray code for bounded integer compositions, whose consecutive ditstrings obey the Gray property, the quantum state is prepared by applying corresponding “Gray gates.” We use this algorithm to pre","PeriodicalId":7896,"journal":{"name":"Annalen der Physik","volume":"538 7","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/andp.70239","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148386364","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Quantum Otto Machine With q-Deformed Pöschl–Teller Oscillator","authors":"C. O. Edet,&nbsp;Norshamsuri Ali,&nbsp;Rosdisham Endut,&nbsp;O. Abah","doi":"10.1002/andp.70241","DOIUrl":"https://doi.org/10.1002/andp.70241","url":null,"abstract":"<div>\u0000 \u0000 <p>We study the impact of the potential parameters of the q-deformed modified Pöschl–Teller potential on the thermodynamic performance of a quantum Otto cycle, where the <span></span><math>\u0000 <semantics>\u0000 <mi>q</mi>\u0000 <annotation>$q$</annotation>\u0000 </semantics></math>-deformed modified Pöschl–Teller potential serves as the working substance. Analytical expressions for the energy spectrum and wave functions are derived, enabling a systematic investigation of heat exchange, work output, efficiency, and coefficient of performance. We show that <span></span><math>\u0000 <semantics>\u0000 <mi>q</mi>\u0000 <annotation>$q$</annotation>\u0000 </semantics></math>-deformation modifies the energy spectrum and creates distinct performance regions in the (<span></span><math>\u0000 <semantics>\u0000 <mi>q</mi>\u0000 <annotation>$q$</annotation>\u0000 </semantics></math>, <span></span><math>\u0000 <semantics>\u0000 <mi>Δ</mi>\u0000 <annotation>$Delta$</annotation>\u0000 </semantics></math>) parameter space. Low (<span></span><math>\u0000 <semantics>\u0000 <mi>Δ</mi>\u0000 <annotation>$Delta$</annotation>\u0000 </semantics></math>) and high (<span></span><math>\u0000 <semantics>\u0000 <mi>q</mi>\u0000 <annotation>$q$</annotation>\u0000 </semantics></math>) favor optimal heat engine efficiency, whereas high (<span></span><math>\u0000 <semantics>\u0000 <mi>Δ</mi>\u0000 <annotation>$Delta$</annotation>\u0000 </semantics></math>) and low (<span></span><math>\u0000 <semantics>\u0000 <mi>q</mi>\u0000 <annotation>$q$</annotation>\u0000 </semantics></math>) improve refrigerator performance. The heat engine efficiency peaks in the low-(<span></span><math>\u0000 <semantics>\u0000 <mi>Δ</mi>\u0000 <annotation>$Delta$</annotation>\u0000 </semantics></math>), high-(<span></span><math>\u0000 <semantics>\u0000 <mi>q</mi>\u0000 <annotation>$q$</annotation>\u0000 </semantics></math>) regime. These results highlight the q-deformed modified Pöschl–Teller potential as a versatile and tunable platform for exploring potential parameter-driven effects in quantum thermal machines.</p>\u0000 </div>","PeriodicalId":7896,"journal":{"name":"Annalen der Physik","volume":"538 7","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148386336","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Issue Information: Ann. Phys. 7/2026","authors":"","doi":"10.1002/andp.70246","DOIUrl":"https://doi.org/10.1002/andp.70246","url":null,"abstract":"","PeriodicalId":7896,"journal":{"name":"Annalen der Physik","volume":"538 7","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/andp.70246","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148343042","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Polarization-Controllable High-Q Terahertz Metamaterial Sensor Based on an All-Liquid Crystal Polymer Platform for Multi-Parameter Sensing","authors":"Huaiqian Liu,&nbsp;Mengya Pan,&nbsp;Qiankai Hong,&nbsp;Shengyuan Shen,&nbsp;Conghui Guo,&nbsp;Yanpeng Shi,&nbsp;Yifei Zhang","doi":"10.1002/andp.70242","DOIUrl":"https://doi.org/10.1002/andp.70242","url":null,"abstract":"<div>\u0000 \u0000 <p>This work proposes a terahertz metamaterial sensor featuring polarization-controllable high-Q Fano resonances and multi-parameter sensing capability. The proposed metasurface is based on an all liquid crystal polymer (LCP) material and consists of periodically arranged cylindrical tetramers. Under <i>x</i>-polarized incidence, the sensor exhibits a high-Q resonance of 2126 at 1.701 THz, with a sensitivity of 91 GHz/RIU and a figure of merit (FOM) of 113.75 RIU⁻¹. Under <i>y</i>-polarized incidence, a Q-factor of 1629 is achieved at 1.466 THz, together with a sensitivity of 54 GHz/RIU and a FOM of 60 RIU⁻¹. In addition, this platform is innovatively combined with a multi-parameter sensing strategy, integrating <i>x</i>-polarized frequency shift, transmission variation, and dual-polarization frequency difference to enhance analyte discrimination and suppress common-mode interference. Based on this strategy, the sensor can achieve accurate discrimination and quantitative thickness detection of glutamine and isoleucine, two biomolecules with overlapping THz absorption peaks. This design provides an innovative approach for the highly sensitive and accurate detection of biomarkers. It promotes the application of THz sensing technology in clinical diagnosis and wearable fields.</p>\u0000 </div>","PeriodicalId":7896,"journal":{"name":"Annalen der Physik","volume":"538 7","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148343091","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Slowly Rotating Traversable Wormholes Supported by Radially Varying String-Fluid Matter: From Regular Geometries to Photon Trajectories","authors":"A. Errehymy,&nbsp;B. Turimov,&nbsp;Meraj Ali Khan,&nbsp;S. Usanov,&nbsp;Z. Yasakov,&nbsp;Z. Avezmuratova","doi":"10.1002/andp.70238","DOIUrl":"https://doi.org/10.1002/andp.70238","url":null,"abstract":"<p>This work investigates slowly rotating traversable wormholes supported by string fluids whose properties vary with distance from the throat. This radial variation allows the matter to transition smoothly from a de Sitter-like core near the center to a string-dominated environment further out, producing a regular, horizon-free, and asymptotically flat spacetime. By allowing the transverse pressure to depend on radius, the fluid adapts naturally to the surrounding geometry, yielding a well-behaved energy density and shape function. Even modest rotation introduces frame-dragging effects that twist photon paths, creating differences between co-rotating and counter-rotating trajectories. These effects are strongest near the throat, while at larger distances the spacetime is largely governed by the static gravitational field. Circular photon orbits reveal that the interplay of the redshift function, wormhole shape, and rotation determines the photon-sphere structure. Different radial profiles of the string fluid generate distinctive photon-ring patterns, providing potential observational signatures of both rotation and the internal matter distribution. Overall, radially varying string fluids provide a flexible and physically consistent source for traversable wormholes, bridging vacuum-like and string-dominated regions while maintaining regularity and supporting slow-rotation. This study highlights how anisotropic matter influences curvature and light propagation, offering a realistic framework for horizonless exotic spacetimes.</p>","PeriodicalId":7896,"journal":{"name":"Annalen der Physik","volume":"538 6","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/andp.70238","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148324500","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}