What is it about?

Wave propagation in empty and homogeneous space is a straightforward case study, often well-presented in Mathematical Physics courses. It is also easily simulated in Computational Physics. However, when dealing with scenarios involving points, barriers, slits, or other geometric features, we introduce an operator that modifies local properties, enforcing local conservation. This operator's simple action enables the realization of all wave interaction phenomena including double slit.

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Why is it important?

This work is very important and innovative, presenting a methodology that enables the transformation of simulations initially designed for homogeneous space into simulations of geometrically interacting zones developed on a solid physical foundation of local conservation with respect to time. Cases that can be realized with this operator include interference, diffraction, and reflection.


Potential applications include scenarios such as the Schrödinger Double Slit experiment and optical fibers. Furthermore, this methodology can be extended to other partial differential equation (PDE) systems.

Universidade do Estado do Amazonas

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This page is a summary of: Simulation of wave propagation with obstacles: Time invariance operator applied to interference and diffraction, AIP Advances, October 2023, American Institute of Physics,
DOI: 10.1063/5.0165660.
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