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The Paraxial Wave Equation is an approximation of the Helmholtz Equation, used to describe the propagation of Wave fields under the assumption that the wavefronts are nearly parallel to the Axis of propagation. This simplification is particularly useful in optics for modeling Laser beams and in acoustics for Sound Waves in a Narrow beam, where it reduces Computational Complexity while maintaining Accuracy in predicting wave behavior.
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