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Analysis and performance of non-circular polygonal polynomials in the wavefront modeling

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F18%3A00323838" target="_blank" >RIV/68407700:21230/18:00323838 - isvavai.cz</a>

  • Result on the web

    <a href="https://www-spiedigitallibrary-org.ezproxy.techlib.cz/conference-proceedings-of-spie/10743/2321302/Analysis-and-performance-of-non-circular-polynomials-in-the-wavefront/10.1117/12.2321302.short?SSO=1&tab=ArticleLink" target="_blank" >https://www-spiedigitallibrary-org.ezproxy.techlib.cz/conference-proceedings-of-spie/10743/2321302/Analysis-and-performance-of-non-circular-polynomials-in-the-wavefront/10.1117/12.2321302.short?SSO=1&tab=ArticleLink</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1117/12.2321302" target="_blank" >10.1117/12.2321302</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Analysis and performance of non-circular polygonal polynomials in the wavefront modeling

  • Original language description

    Imaging system design is not limited to circular aperture shapes. However, non-circular apertures require a different set of polynomials, because broadly used Zernike polynomials are not orthogonal over non-circular shapes. Applying the Gram-Schmidt orthogonalization process provide the adopted set of orthogonal polynomials over selected non-circular aperture shape. However, when the aperture shape is complicated, non-symmetrical, the resulting set of polynomials can be very complex. In the case of odd-sided polygons is the analytical form of the polynomials inappropriate due to their complexity and these polynomials have to be expressed in their numerical form. Concerning the laborious complexity of some non-circular polynomials, we analyze the desired accuracy of such polynomials and their performance of the wavefront modeling according to classical circular Zernike polynomials.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    20201 - Electrical and electronic engineering

Result continuities

  • Project

    <a href="/en/project/GA17-05840S" target="_blank" >GA17-05840S: Multicriteria Optimization of Shift-Variant Imaging System Models</a><br>

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2018

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Proceedings Volume 10743, Optical Modeling and Performance Predictions X

  • ISBN

    9781510620582

  • ISSN

  • e-ISSN

    1996-756X

  • Number of pages

    19

  • Pages from-to

  • Publisher name

    SPIE

  • Place of publication

    Bellingham

  • Event location

    San Diego

  • Event date

    Aug 19, 2018

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article

    000451772200018