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Paraxial Wave Equation
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Summary
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
.
Concepts
Helmholtz Equation
Wave Propagation
Optical Beam
Gaussian Beam
Beam Waist
Fresnel Approximation
Diffraction
Wavefront
Rayleigh Range
Beam Divergence
Laguerre-Gaussian Modes
Hermite-Gaussian Modes
Laguerre-Gaussian Beams
Relevant Degrees
Optics 60%
Differential and Integral Equations 40%
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