{"id":473,"date":"2023-06-16T05:57:52","date_gmt":"2023-06-16T05:57:52","guid":{"rendered":"https:\/\/physigeek.com\/cn\/%e4%b8%89%e7%bb%b4%e6%b3%a2\/"},"modified":"2023-06-16T05:57:52","modified_gmt":"2023-06-16T05:57:52","slug":"%e4%b8%89%e7%bb%b4%e6%b3%a2","status":"publish","type":"post","link":"https:\/\/physigeek.com\/cn\/%e4%b8%89%e7%bb%b4%e6%b3%a2\/","title":{"rendered":"\u4e09\u7ef4\u6ce2"},"content":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u7269\u7406\u5b66\u4e2d\u7684\u4e09\u7ef4\u6ce2\u662f\u4ec0\u4e48\u3002\u6240\u4ee5\u4f60\u4f1a\u627e\u5230\u4e09\u7ef4\u6ce2\u7684\u5b9a\u4e49\uff0c\u5b83\u7684\u7279\u5f81\u662f\u4ec0\u4e48\u4ee5\u53ca\u4e09\u7ef4\u6ce2\u7684\u65b9\u7a0b\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-una-onda-tridimensional\"><\/span>\u4ec0\u4e48\u662f\u4e09\u7ef4\u6ce2\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u4e09\u7ef4\u6ce2<\/strong>\uff0c\u4e5f\u79f0\u4e3a<strong>\u7403\u9762\u6ce2<\/strong>\uff0c\u662f\u5728\u4e09\u7ef4\u7a7a\u95f4\u4e2d\u4f20\u64ad\u7684\u6ce2\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u4e09\u7ef4\u6ce2\u5728\u7a7a\u95f4\u4e2d\u5411\u5404\u4e2a\u65b9\u5411\u4f20\u64ad\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u58f0\u6ce2\u662f\u4e09\u7ef4\u6ce2\uff0c\u56e0\u4e3a\u5b83\u5728\u7a7a\u95f4\u7684\u6240\u6709\u4e09\u4e2a\u7ef4\u5ea6\u4e2d\u4f20\u64ad\u3002\u5149\u6ce2\u4e5f\u662f\u4e09\u7ef4\u6ce2\u7684\u4f8b\u5b50\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u4e09\u7ef4\u6ce2\u7684\u6ce2\u524d\u662f\u5728\u7a7a\u95f4\u4e2d\u4f20\u64ad\u7684\u540c\u5fc3\u7403\u4f53\uff0c\u56e0\u6b64\u4e5f\u88ab\u79f0\u4e3a\u7403\u9762\u6ce2\u3002\u8fd9\u4e9b\u540c\u5fc3\u7403\u7684\u4e2d\u5fc3\u662f\u4e09\u7ef4\u6ce2\u7684\u7126\u70b9\u6216\u539f\u70b9\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Caracteristicas-de-las-ondas-tridimensionales\"><\/span>\u4e09\u7ef4\u6ce2\u7684\u7279\u6027<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e09\u7ef4\u6ce2\u5177\u6709\u4ee5\u4e0b\u7279\u70b9\uff1a<\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u632f\u5e45\uff08A\uff09<\/strong> \uff1a\u662f\u6ce2\u6d6a\u632f\u8361\u7684\u6700\u9ad8\u70b9\u4e0e\u5176\u5e73\u5747\u503c\u4e4b\u95f4\u7684\u8ddd\u79bb\u3002<\/span><\/li>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u5468\u671f\uff08T\uff09<\/strong> \uff1a\u662f\u6ce2\u5b8c\u6210\u4e00\u6b21\u632f\u8361\u6240\u9700\u7684\u65f6\u95f4\u3002<\/span><\/li>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u9891\u7387 (f)<\/strong> \uff1a\u662f\u6ce2\u6bcf\u5355\u4f4d\u65f6\u95f4\u4ea7\u751f\u7684\u632f\u8361\u6216\u632f\u52a8\u7684\u6570\u91cf\u3002<\/span><\/li>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u89d2\u9891\u7387\u6216\u8109\u52a8 (\u03c9)<\/strong> \uff1a\u8fd9\u662f\u6ce2\u632f\u8361\u7684\u901f\u5ea6\u3002<\/span><\/li>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u4f20\u64ad\u901f\u5ea6 (v)<\/strong> \uff1a\u8fd9\u662f\u6ce2\u4f20\u64ad\u7684\u901f\u5ea6\u3002<\/span> <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ecuacion-de-una-onda-tridimensional\"><\/span>\u4e09\u7ef4\u6ce2\u65b9\u7a0b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u8003\u8651\u5230\u4e09\u7ef4\u6ce2\u7684\u7403\u5bf9\u79f0\u6027\uff0c\u5982\u679c\u6211\u4eec\u5047\u8bbe\u4e09\u7ef4\u6ce2\u901a\u8fc7\u5404\u5411\u540c\u6027\u4ecb\u8d28\uff08\u4f8b\u5982\u7a7a\u6c14\u6216\u6c34\uff09\u4f20\u64ad\uff0c\u5219\u63cf\u8ff0\u5176\u8fd0\u52a8\u7684\u65b9\u7a0b\u53ef\u4ee5\u7528\u7403\u5750\u6807\u5199\u6210\u5982\u4e0b\uff1a<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-26b4b369cc2fa9266d113d8857650944_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\frac{1}{r^2} \\frac{\\partial}{\\partial r}\\left( r^2\\frac{\\partial \\Psi}{\\partial r} \\right)-\\ frac{1}{c^2}\\frac{\\partial^2 \\Psi}{\\partial t^2} = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"270\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u901a\u8fc7\u79ef\u5206\u6c42\u89e3\u524d\u9762\u7684\u5fae\u5206\u65b9\u7a0b\uff0c\u6211\u4eec\u5f97\u5230<strong>\u4e09\u7ef4\u6ce2\u65b9\u7a0b\u7684<\/strong>\u516c\u5f0f\uff1a<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-a0a3b7234b7cd9d7a416a1002d15f926_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\Psi(r,t) = A\\cdot\\text{sin}( \\omega\\cdot t - k\\cdot r+ \\phi_0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"256\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\">\u91d1\u5b50\uff1a <\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-96d558896734bc27372c9e3216e687db_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Psi\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"12\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u4e09\u7ef4\u6ce2\u7684\u4f38\u957f\u7387\u3002 <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-01bcf7e9e043561da78fecf715c8a46e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u6ce2\u7684\u539f\u70b9\u548c\u7814\u7a76\u70b9\u4e4b\u95f4\u7684\u8ddd\u79bb\u3002 <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-816b613a4f79d4bf9cb51396a9654120_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u4e09\u7ef4\u6ce2\u7684\u632f\u5e45\u3002 <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-d42bc2203d6f76ad01b27ac9acc0bee1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u6ce2\u6570\u3002 <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-fbffdce91996e0a17795d82e8e6996d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\omega\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u6ce2\u7684\u89d2\u9891\u7387\u6216\u8109\u52a8\u3002 <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-fd9cb27edab3f0a8a249bc80cc9c6ee2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"6\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u65f6\u523b\u3002 <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-c8618f3820889d0002a7eefeeb2aaf41_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\phi_0\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"18\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u662f\u6ce2\u7684\u521d\u59cb\u9636\u6bb5\u3002 <\/span><\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Otros-tipos-de-ondas\"><\/span>\u5176\u4ed6\u7c7b\u578b\u7684\u6ce2\u6d6a<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6839\u636e\u6ce2\u4f20\u64ad\u7684\u7ef4\u5ea6\uff0c\u6ce2\u53ef\u5206\u4e3a\u7eb5\u5411\u6ce2\u3001\u4e8c\u7ef4\u6ce2\u6216\u4e09\u7ef4\u6ce2\u3002\u90a3\u4e48\uff0c\u9664\u4e86\u4e09\u7ef4\u6ce2\u4e4b\u5916\uff0c\u8fd8\u6709\u4ee5\u4e0b\u4e24\u79cd\u7c7b\u578b\u7684\u6ce2\uff1a<\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:18px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u4e00\u7ef4\u6ce2<\/strong>\uff1a\u5728\u5355\u4e00\u7ef4\u5ea6\uff08\u5373\u5355\u4e00\u65b9\u5411\uff09\u4f20\u64ad\u7684\u6ce2\u7c7b\u578b\u3002<\/span><\/li>\n<li style=\"margin-bottom:18px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u4e8c\u7ef4\u6ce2<\/strong>\uff1a\u5728\u4e8c\u7ef4\uff08\u5373\u6cbf\u7740\u8868\u9762\uff09\u4f20\u64ad\u7684\u6ce2\u7c7b\u578b\u3002<\/span> <\/li>\n<\/ul>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 10px; padding-left: 20px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u53c2\u89c1\uff1a<\/strong><a href=\"https:\/\/physigeek.com\/cn\/\u4e00\u7ef4\u6ce2\/\">\u4e00\u7ef4\u6ce2<\/a><br \/><span style=\"color:#ff951b\">\u27a4<\/span><strong>\u53c2\u89c1\uff1a<\/strong><a href=\"https:\/\/physigeek.com\/cn\/\u4e8c\u7ef4\u6ce2\/\">\u4e8c\u7ef4\u6ce2<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u7269\u7406\u5b66\u4e2d\u7684\u4e09\u7ef4\u6ce2\u662f\u4ec0\u4e48\u3002\u6240\u4ee5\u4f60\u4f1a\u627e\u5230\u4e09\u7ef4\u6ce2\u7684\u5b9a\u4e49\uff0c\u5b83\u7684\u7279\u5f81\u662f\u4ec0\u4e48\u4ee5\u53ca\u4e09\u7ef4\u6ce2\u7684\u65b9\u7a0b\u3002 \u4ec0\u4e48\u662f\u4e09\u7ef4\u6ce2\uff1f  &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/cn\/%e4%b8%89%e7%bb%b4%e6%b3%a2\/\"> <span class=\"screen-reader-text\">\u4e09\u7ef4\u6ce2<\/span> \u67e5\u770b\u5168\u6587 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[3],"tags":[],"class_list":["post-473","post","type-post","status-publish","format-standard","hentry","category-3"],"yoast_head":"<!-- This site is optimized 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