{"id":76,"date":"2026-08-05T10:52:40","date_gmt":"2026-08-05T08:52:40","guid":{"rendered":"https:\/\/byte-ndt.com\/?page_id=76"},"modified":"2026-08-05T10:52:40","modified_gmt":"2026-08-05T08:52:40","slug":"3d-matrix-array-field-champ-3d-du-reseau-matriciel","status":"publish","type":"page","link":"https:\/\/byte-ndt.com\/index.php\/3d-matrix-array-field-champ-3d-du-reseau-matriciel\/","title":{"rendered":"3D Matrix-Array Field \/ Champ 3D du r\u00e9seau matriciel"},"content":{"rendered":"\n<section style=\"max-width:1000px;margin:auto;line-height:1.65;\">\n\n  <p style=\"font-size:1.15rem;\">\n    <strong>Byte NDT public bilingual demonstrator<\/strong><br>\n    This application calculates and analyses the three-dimensional ultrasonic field\n    generated by a two-dimensional matrix array in one homogeneous propagation medium.\n  <\/p>\n\n  <p style=\"font-size:1.15rem;\">\n    <strong>D\u00e9monstrateur public bilingue Byte NDT<\/strong><br>\n    Cette application calcule et analyse le champ ultrasonore tridimensionnel g\u00e9n\u00e9r\u00e9\n    par un r\u00e9seau matriciel bidimensionnel dans un milieu de propagation homog\u00e8ne.\n  <\/p>\n\n  <hr>\n\n  <h2>What can be studied? \/ Que peut-on \u00e9tudier ?<\/h2>\n\n  <ul>\n    <li>2D matrix-array geometry and X\/Y pitch \u2014 G\u00e9om\u00e9trie du r\u00e9seau matriciel et pitch X\/Y<\/li>\n    <li>Frequency, wave speed and wavelength \u2014 Fr\u00e9quence, vitesse et longueur d\u2019onde<\/li>\n    <li>Steering angle and skew angle \u2014 Angle de steering et angle de skew<\/li>\n    <li>Electronic focusing \u2014 Focalisation \u00e9lectronique<\/li>\n    <li>X\/Y apodization \u2014 Apodisation X\/Y<\/li>\n    <li>Beam-plane section \u2014 Coupe dans le plan du faisceau<\/li>\n    <li>Transverse analysis surface \u2014 Surface transversale d\u2019analyse<\/li>\n    <li>Beam width, peak position and sidelobes \u2014 Largeur du faisceau, maximum et lobes secondaires<\/li>\n    <li>Comparison of apodization laws \u2014 Comparaison des lois d\u2019apodisation<\/li>\n  <\/ul>\n\n  <h2>Why \u201c2D array\u201d and \u201c3D field\u201d? \/ Pourquoi \u00ab r\u00e9seau 2D \u00bb et \u00ab champ 3D \u00bb ?<\/h2>\n\n  <p>\n    The transducer elements are distributed along the X and Y directions.\n    Each element has a position, an amplitude weight and an electronic delay.\n    The resulting field is calculated in space:\n    <strong>p = p(x, y, z)<\/strong>.\n  <\/p>\n\n  <p>\n    Les \u00e9l\u00e9ments du traducteur sont r\u00e9partis suivant les directions X et Y.\n    Chaque \u00e9l\u00e9ment poss\u00e8de une position, un coefficient d\u2019amplitude et un retard \u00e9lectronique.\n    Le champ r\u00e9sultant est calcul\u00e9 dans l\u2019espace :\n    <strong>p = p(x, y, z)<\/strong>.\n  <\/p>\n\n  <h2>Transverse surface \/ Surface transversale<\/h2>\n\n  <p>\n    The application constructs a plane perpendicular to the beam axis at the selected\n    axial distance. The complex field is calculated at every point of this plane and\n    displayed as a normalized amplitude map. The cross marks the field maximum.\n  <\/p>\n\n  <p>\n    L\u2019application construit un plan perpendiculaire \u00e0 l\u2019axe du faisceau \u00e0 la distance\n    axiale choisie. Le champ complexe est calcul\u00e9 en chaque point de ce plan puis affich\u00e9\n    sous forme d\u2019une carte d\u2019amplitude normalis\u00e9e. La croix indique le maximum du champ.\n  <\/p>\n\n  <p>\n    By repeating the calculation at several axial distances, the user can observe beam\n    formation, focusing, divergence and sidelobes.\n  <\/p>\n\n  <p>\n    En r\u00e9p\u00e9tant le calcul \u00e0 plusieurs distances axiales, l\u2019utilisateur peut observer\n    la formation du faisceau, la focalisation, la divergence et les lobes secondaires.\n  <\/p>\n\n  <h2>Physical scope \/ P\u00e9rim\u00e8tre physique<\/h2>\n\n  <p>\n    This version represents one homogeneous scalar propagation medium.\n    It does not yet include a wedge, an interface, refraction, transmission coefficients\n    or longitudinal\/shear mode conversion in an elastic solid.\n  <\/p>\n\n  <p>\n    Cette version repr\u00e9sente un seul milieu de propagation scalaire homog\u00e8ne.\n    Elle ne comprend pas encore de sabot, d\u2019interface, de r\u00e9fraction, de coefficients\n    de transmission ni de conversion des modes longitudinal\/transversal dans un solide \u00e9lastique.\n  <\/p>\n\n  <div style=\"margin:35px 0;text-align:center;\">\n    <a href=\"https:\/\/byte-ndt-3d-matrix-array-field-9westmvepwwjwr2jyyyadr.streamlit.app\"\n       target=\"_blank\"\n       rel=\"noopener noreferrer\"\n       style=\"display:inline-block;background:#e63946;color:white;\n              padding:15px 26px;border-radius:6px;text-decoration:none;\n              font-weight:700;font-size:1.05rem;\">\n      Open the demonstrator \/ Ouvrir le d\u00e9monstrateur\n    <\/a>\n  <\/div>\n\n  <p style=\"text-align:center;\">\n    Accessible on computer, tablet and smartphone.<br>\n    Accessible sur ordinateur, tablette et t\u00e9l\u00e9phone.\n  <\/p>\n\n  <hr>\n\n  <p>\n    <strong>Byte NDT Digital Twin approach:<\/strong>\n    array definition \u2192 delay laws \u2192 field calculation \u2192 analysis surfaces \u2192\n    validation of the inspection configuration.\n  <\/p>\n\n  <p>\n    <strong>Approche du jumeau num\u00e9rique Byte NDT :<\/strong>\n    d\u00e9finition du r\u00e9seau \u2192 lois de retard \u2192 calcul du champ \u2192 surfaces d\u2019analyse \u2192\n    validation de la configuration de contr\u00f4le.\n  <\/p>\n\n<\/section>\n","protected":false},"excerpt":{"rendered":"<p>Byte NDT public bilingual demonstrator This application calculates and analyses the three-dimensional ultrasonic field generated by a two-dimensional matrix array in one homogeneous propagation medium. D\u00e9monstrateur public bilingue Byte NDT Cette application calcule et analyse le champ ultrasonore tridimensionnel g\u00e9n\u00e9r\u00e9 par un r\u00e9seau matriciel bidimensionnel dans un milieu de propagation homog\u00e8ne. What can be studied? [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-76","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/byte-ndt.com\/index.php\/wp-json\/wp\/v2\/pages\/76","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/byte-ndt.com\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/byte-ndt.com\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/byte-ndt.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/byte-ndt.com\/index.php\/wp-json\/wp\/v2\/comments?post=76"}],"version-history":[{"count":1,"href":"https:\/\/byte-ndt.com\/index.php\/wp-json\/wp\/v2\/pages\/76\/revisions"}],"predecessor-version":[{"id":77,"href":"https:\/\/byte-ndt.com\/index.php\/wp-json\/wp\/v2\/pages\/76\/revisions\/77"}],"wp:attachment":[{"href":"https:\/\/byte-ndt.com\/index.php\/wp-json\/wp\/v2\/media?parent=76"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}