26 July 1993 Axial PSF shaping using novel diffraction modes
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Proceedings Volume 1983, 16th Congress of the International Commission for Optics: Optics as a Key to High Technology; 19831D (1993) https://doi.org/10.1117/12.2308468
Event: 16th Congress of the International Commission for Optics: Optics as a Key to High Technology, 1993, Budapest, Hungary
Abstract
A linear system can be represented by its eigenmodes. Thus, the response of an optical system working under coherent illumination can be described using plane wavefronts; which are the eigensolutions of the Helmholtz equation. This is the cornerstone concept in Fourier optics. Sometimes, however, it is convenient to translate the concept of plane wave to other modes; for example using prolate functions 1, or Legendre poynomi- als2'3. In particular, a 1-D plane wavefront, the kernel of the 1-D Fourier transformation, can be suitably written using Buer's formula4, as a linear superposition of Legen- dre polynomials, which constitute an orthonormal base. With this simple mathematical tool one can solve many different problems in optics.
© (1993) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
M. Martinez-Corral, M. Martinez-Corral, } "Axial PSF shaping using novel diffraction modes", Proc. SPIE 1983, 16th Congress of the International Commission for Optics: Optics as a Key to High Technology, 19831D (26 July 1993); doi: 10.1117/12.2308468; https://doi.org/10.1117/12.2308468
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