Conventional photonic waveguide arrays provide a compact and stable platform for simulating condensed-matter systems, enabling the direct observation of coherent quantum phenomena through optical waves. However, existing photonic lattices often fall short when dealing with complex time-dependent on-site potentials and coupling parameters. At the same time, although the analysis of quantum systems within the framework of band theory has become well established, analytical studies on system dynamics remain relatively scarce. In this work, we develop a tight-binding model for one-dimensional generalized photonic lattices and rigorously derive its validity conditions, offering theoretical support for simulating more diverse driven lattice quantum systems with photonic lattices. Building upon this, we propose an analytical framework to describe the dynamical behavior of a particle in a uniformly driven superlattice under external excitation. The resulting analytical solution equally applies to the optical-field evolution in the corresponding generalized photonic lattice. We further derive an extended form of the conventional dynamic-localization criterion. In addition, exploiting the quantum analogy of waveguide arrays, we directly employ the analytical theory to carry out numerical simulations in three representative types of generalized waveguide structures. These results establish a solid theoretical basis for understanding and controlling the dynamical behavior of photonic lattices and condensed-matter systems, while simultaneously suggesting a feasible route for experimental implementation.

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• Dynamical localization
• Photonics
• Waveguide arrays
• Coupled mode theory