RT Conference Proceedings T1 Analytical Circuit Approach for (2+1)D Structures: Application to Spacetime Metasurfaces A1 Moreno-Rodríguez, Salvador A1 Pérez-Escribano, Mario A1 Padilla, Pablo A1 Valenzuela-Valdés, Juan Francisco A1 Alex-Amor, Antonio A1 Molero, Carlos K1 Radio AB Historically, scientists and engineers have focused theirstudies on finding analytical models that allow accuratemodeling of the electromagnetic response of radiant devices. Commercial software based on numerical full-wavetechniques such as the finite element method (FEM) or thefinite-difference time-domain method (FDTD), among others,allows simulating many different scenarios at the expenseof assuming a high computational cost, especially when theradiant elements are sub-wavelength or when a completemulti-modal description of the fields is required.As an alternative, circuit models based on transmissionlines and lumped elements represent a great solution forthese proposes due to their low computational cost and theirphysical insight. In fact, a circuital method is considered fullyanalytical when it is unnecessary to extract any informationfrom external full-wave tools [1], [2]. However, the maindifficulty lies in finding equivalent circuits of the structureunder study [3].This paper presents a multi-modal, fully analytical circuitmodel for simulating (2+1)D spacetime-periodic modulatedstructures. A closed formulation is proposed in terms ofFloquet-Bloch harmonic expansions, from which all parameters related to diffraction and scattering can be extracted,providing information on the propagative or transient nature ofthe spacetime harmonics. We already applied this formulationin our previous works for simulating metastructures basedon spatial modulations [4] and (1+1)D spacetime modulations [5].As an example, Fig. 1 and Fig. 2 depict a comparisonbetween the obtained results by the proposed theoreticalanalysis and external tools for a 2D spatial case and (1+1)Dspacetime case, respectively. PB URSI YR 2024 FD 2024-09 LK https://hdl.handle.net/10630/32935 UL https://hdl.handle.net/10630/32935 LA eng NO Universidad de Málaga. Campus de Excelencia Internacional Andalucía Tech. DS RIUMA. Repositorio Institucional de la Universidad de Málaga RD 24 ene 2026