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Time-Reversed Diffraction

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arxiv physics/0003058 v1 pith:LVH2AYS7 submitted 2000-03-23 physics.optics

Time-Reversed Diffraction

classification physics.optics
keywords diffractionbeamfieldsgaussiantime-reversedapplyassumptionattempt
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We show that a time-reversed formulation of Huygens-Kirchhoff diffraction can be used to deduce the transverse and longitudinal fields of a Gaussian laser beam, starting from a simple assumption of a Gaussian beam profile in the far field. An attempt to apply this technique to the far fields of a Hertzian dipole shows how the laws of diffraction do not permit a wave to be focused to a volume smaller than a cubic wavelength in a charge-free region.

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