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    Area of Science:

    • Computational physics
    • Optical sciences
    • Materials science

    Background:

    • Discrete-dipole approximation (DDA) is a versatile method for simulating light scattering and absorption by particles.
    • Existing DDA methods face challenges with accuracy and computational efficiency for complex geometries and materials.

    Purpose of the Study:

    • To extend DDA to rectangular cuboidal lattices using an accurate polarizability expression.
    • To enhance the accuracy of scattering and absorption cross-section computations.
    • To reduce computational time while maintaining accuracy.

    Main Methods:

    • Developed a novel polarizability formulation for cuboidal elements (cuboidal lattice with depolarization or CLD).
    • Applied the CLD formulation to simulate Mie scattering for spheres (metal and dielectric).
    • Compared CLD results with other DDA formulations and Mie analytical solutions.
    • Simulated metal cubes using different DDA formulations.

    Main Results:

    • The CLD formulation demonstrates superior accuracy in computing extinction, scattering, and absorption cross sections for dielectrics.
    • CLD allows for a reduction in the number of dipoles (N) required, leading to faster computations.
    • Simulations of spheres and cubes show improved agreement with analytical solutions and other DDA methods.

    Conclusions:

    • The CLD formulation offers a more accurate and efficient approach for DDA simulations of cuboidal particles.
    • This advancement is particularly beneficial for optical frequency simulations of nanoparticles and microparticles.
    • The CLD method provides a valuable tool for researchers in optics, photonics, and materials science.