Representation of wavefronts in free-form transmission pupils with Complex Zernike Polynomials
| Autor: | Ricardo Rivera, Rafael Navarro, Justiniano Aporta |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2011 |
| Předmět: |
Zernike polynomials
Efecto Stiles-Crawford Representación de frentes de onda symbols.namesake Optics Apodization lcsh:Ophthalmology Función pupila generalizada Pupilas de forma libre lcsh:QC350-467 Representation (mathematics) Wavefront encoding Wavefront Generalized pupil function business.industry Mathematical analysis Astrophysics::Instrumentation and Methods for Astrophysics Complex Zernike polynomials Apodización Free-form pupil Polinomios de Zernike complejos Amplitude Transmission (telecommunications) lcsh:RE1-994 symbols Free form Original Article Psychology business lcsh:Optics. Light Stiles-Crawford effect Optometry |
| Zdroj: | Journal of Optometry, Vol 4, Iss 2, Pp 41-48 (2011) Digital.CSIC. Repositorio Institucional del CSIC instname |
| ISSN: | 1989-1342 1888-4296 2008-0069 |
| Popis: | [Purpose]: To propose and evaluate ComplexZernikepolynomials (CZPs) to represent general wavefronts with non uniform intensity (amplitude) in free-from transmission pupils. [Methods]: They consist of three stages: (1) theoretical formulation; (2) numerical implementation; and (3) two studies of the fidelity of the reconstruction obtained as a function of the number of Zernike modes used (36 or 91). In the first study, we generated complexwavefronts merging wave aberration data from a group of 11 eyes, with a generic Gaussian model of the Stiles-Crawford effective pupil transmission. In the second study we simulated the wavefront passing through different pupil stop shapes (annular, semicircular, elliptical and triangular). [Results]: The reconstructions of the wave aberration (phase of the generalized pupil function) were always good, the reconstruction RMS error was of the order of 10−4 wave lengths, no matter the number of modes used. However, the reconstruction of the amplitude (effective transmission) was highly dependent of the number of modes used. In particular, a high number of modes is necessary to reconstruct sharp edges, due to their high frequency content. [Conclusions]: CZPs provide a complete orthogonal basis able to represent generalized pupil functions (or complexwavefronts). This provides a unified general framework in contrast to the previous variety of ad oc solutions. Our results suggest that complexwavefronts require a higher number of CZP, but they seem especially well-suited for inhomogeneous beams, pupil apodization, etc. This work was supported by the Comisión Interministerial de Ciencia y Tecnología, Spain, under Grant FIS2008-00697. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|