{"id":209216,"date":"2024-03-21T14:06:39","date_gmt":"2024-03-21T14:06:39","guid":{"rendered":"https:\/\/www.electricity-magnetism.org\/%e3%82%a2%e3%83%b3%e3%83%86%e3%83%8a%e3%81%ae%e6%8c%87%e5%90%91%e6%80%a7%e6%96%b9%e7%a8%8b%e5%bc%8f-%e6%a6%82%e8%a6%81%e3%81%a8%e8%a8%88%e7%ae%97%e6%96%b9%e6%b3%95\/"},"modified":"2024-05-17T15:08:59","modified_gmt":"2024-05-17T15:08:59","slug":"%e3%82%a2%e3%83%b3%e3%83%86%e3%83%8a%e3%81%ae%e6%8c%87%e5%90%91%e6%80%a7%e6%96%b9%e7%a8%8b%e5%bc%8f-%e6%a6%82%e8%a6%81%e3%81%a8%e8%a8%88%e7%ae%97%e6%96%b9%e6%b3%95","status":"publish","type":"post","link":"https:\/\/www.electricity-magnetism.org\/ja\/%e3%82%a2%e3%83%b3%e3%83%86%e3%83%8a%e3%81%ae%e6%8c%87%e5%90%91%e6%80%a7%e6%96%b9%e7%a8%8b%e5%bc%8f-%e6%a6%82%e8%a6%81%e3%81%a8%e8%a8%88%e7%ae%97%e6%96%b9%e6%b3%95\/","title":{"rendered":"\u30a2\u30f3\u30c6\u30ca\u306e\u6307\u5411\u6027\u65b9\u7a0b\u5f0f | \u6982\u8981\u3068\u8a08\u7b97\u65b9\u6cd5"},"content":{"rendered":"<p class=\"sidekick\">\u30a2\u30f3\u30c6\u30ca\u306e\u6307\u5411\u6027\u65b9\u7a0b\u5f0f\u306e\u6982\u8981\u3068\u8a08\u7b97\u65b9\u6cd5\u306b\u3064\u3044\u3066\u3001\u6307\u5411\u6027\u30b2\u30a4\u30f3\u3092\u4e2d\u5fc3\u306b\u89e3\u8aac\u3057\u3001\u5177\u4f53\u7684\u306a\u8a08\u7b97\u624b\u9806\u3082\u793a\u3057\u307e\u3059\u3002<\/p>\n<h2>\u30a2\u30f3\u30c6\u30ca\u306e\u6307\u5411\u6027\u65b9\u7a0b\u5f0f | \u6982\u8981\u3068\u8a08\u7b97\u65b9\u6cd5<\/h2>\n<p>\u30a2\u30f3\u30c6\u30ca\u6280\u8853\u306e\u5206\u91ce\u306b\u304a\u3044\u3066\u3001\u300c\u6307\u5411\u6027\u300d\u306f\u975e\u5e38\u306b\u91cd\u8981\u306a\u6982\u5ff5\u3067\u3059\u3002\u6307\u5411\u6027\u3092\u3046\u307e\u304f\u5229\u7528\u3059\u308b\u3053\u3068\u3067\u3001\u7279\u5b9a\u306e\u65b9\u5411\u306b\u5f37\u3044\u4fe1\u53f7\u3092\u9001\u4fe1\u3057\u305f\u308a\u53d7\u4fe1\u3057\u305f\u308a\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u30a2\u30f3\u30c6\u30ca\u306e\u6307\u5411\u6027\u65b9\u7a0b\u5f0f\u306e\u6982\u8981\u3068\u8a08\u7b97\u65b9\u6cd5\u306b\u3064\u3044\u3066\u7d39\u4ecb\u3057\u307e\u3059\u3002<\/p>\n<h2>\u6307\u5411\u6027\u3068\u306f<\/h2>\n<p>\u6307\u5411\u6027\u3068\u306f\u3001\u30a2\u30f3\u30c6\u30ca\u304c\u7279\u5b9a\u306e\u65b9\u5411\u306b\u3069\u308c\u3060\u3051\u52b9\u7387\u826f\u304f\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u653e\u5c04\u3067\u304d\u308b\u304b\u3092\u793a\u3059\u6027\u80fd\u6307\u6a19\u3067\u3059\u3002\u6307\u5411\u6027\u304c\u9ad8\u3044\u307b\u3069\u3001\u30a8\u30cd\u30eb\u30ae\u30fc\u304c\u72ed\u3044\u7bc4\u56f2\u306b\u96c6\u4e2d\u3057\u3066\u653e\u5c04\u3055\u308c\u307e\u3059\u3002\u9006\u306b\u3001\u6307\u5411\u6027\u304c\u4f4e\u3044\u5834\u5408\u306f\u3001\u30a8\u30cd\u30eb\u30ae\u30fc\u304c\u5e83\u3044\u7bc4\u56f2\u306b\u5206\u6563\u3057\u3066\u653e\u5c04\u3055\u308c\u307e\u3059\u3002<\/p>\n<h2>\u6307\u5411\u6027\u65b9\u7a0b\u5f0f\u306e\u6982\u8981<\/h2>\n<p>\u30a2\u30f3\u30c6\u30ca\u306e\u6307\u5411\u6027\u306f\u901a\u5e38\u3001\u6b21\u306e\u3088\u3046\u306a\u4fc2\u6570\uff08$D$\uff09\u3067\u8868\u3055\u308c\u307e\u3059\u3002<br \/>\n\\[D = \\frac{4\\pi}{\\int\\int (F(\\theta,\\phi))^2 d\\Omega}\\]<\/p>\n<p>\u3053\u3053\u3067\u3001<br \/>\n&#8211; $D$ \u306f\u30a2\u30f3\u30c6\u30ca\u306e\u6307\u5411\u6027\u30b2\u30a4\u30f3\u3002<br \/>\n&#8211; $F(\\theta,\\phi)$ \u306f\u30a2\u30f3\u30c6\u30ca\u306e\u653e\u5c04\u7279\u6027\u95a2\u6570\u3002<br \/>\n&#8211; $d\\Omega$ \u306f\u7acb\u4f53\u89d2\u3002<\/p>\n<p>\u6307\u5411\u6027\u30b2\u30a4\u30f3 ($D$) \u306f\u3001\u5168\u7acb\u4f53\u89d2\uff08$4\\pi$ \u30b9\u30c6\u30e9\u30b8\u30a2\u30f3\uff09\u3067\u653e\u5c04\u3055\u308c\u308b\u5168\u30a8\u30cd\u30eb\u30ae\u30fc\u306b\u5bfe\u3057\u3066\u3001\u7279\u5b9a\u306e\u65b9\u5411\uff08$\\theta$, $\\phi$\uff09\u306b\u3069\u308c\u3060\u3051\u30a8\u30cd\u30eb\u30ae\u30fc\u304c\u96c6\u4e2d\u3059\u308b\u304b\u3092\u793a\u3057\u307e\u3059\u3002<\/p>\n<h2>\u8a08\u7b97\u65b9\u6cd5<\/h2>\n<p>\u6307\u5411\u6027\u30b2\u30a4\u30f3\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u3001\u30a2\u30f3\u30c6\u30ca\u306e\u653e\u5c04\u7279\u6027\u95a2\u6570 $F(\\theta, \\phi)$ \u304c\u5fc5\u8981\u3067\u3059\u3002\u3053\u308c\u3092\u7528\u3044\u3066\u6b21\u306e\u624b\u9806\u3067\u8a08\u7b97\u3057\u307e\u3059\u3002<\/p>\n<h3>1. \u653e\u5c04\u7279\u6027\u95a2\u6570\u306e\u53d6\u5f97<\/h3>\n<p>\u30a2\u30f3\u30c6\u30ca\u306e\u653e\u5c04\u7279\u6027\u95a2\u6570 $F(\\theta, \\phi)$ \u3092\u6c42\u3081\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u30a2\u30f3\u30c6\u30ca\u306e\u8a2d\u8a08\u3084\u5f62\u72b6\u306b\u4f9d\u5b58\u3057\u307e\u3059\u3002<\/p>\n<h3>2. \u7a4d\u5206\u306e\u8a08\u7b97<\/h3>\n<p>\u6b21\u306b\u3001$F(\\theta, \\phi)$ \u306e\u4e8c\u4e57\u3092\u7acb\u4f53\u89d2 (d$\\Omega$) \u3067\u7a4d\u5206\u3057\u307e\u3059\u3002<br \/>\n\\[ \\int\\int (F(\\theta,\\phi))^2 d\\Omega \\]<\/p>\n<h3>3. \u6307\u5411\u6027\u30b2\u30a4\u30f3\u306e\u8a08\u7b97<\/h3>\n<p>\u6700\u5f8c\u306b\u3001\u4e0a\u8a18\u306e\u7a4d\u5206\u7d50\u679c\u3092\u7528\u3044\u3066\u6307\u5411\u6027\u30b2\u30a4\u30f3 $D$ \u3092\u6c42\u3081\u307e\u3059\u3002<br \/>\n\\[D = \\frac{4\\pi}{\\int\\int (F(\\theta,\\phi))^2 d\\Omega}\\]<\/p>\n<p>\u4f8b\u3048\u3070\u3001\u7406\u60f3\u7684\u306a\u70b9\u5149\u6e90\u30a2\u30f3\u30c6\u30ca\u306e\u5834\u5408\u3001$F(\\theta, \\phi) = 1$ \u306a\u306e\u3067\u3001\u6307\u5411\u6027\u30b2\u30a4\u30f3 $D$ \u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002<br \/>\n\\[D = \\frac{4\\pi}{4\\pi} = 1\\]<\/p>\n<p>\u3053\u308c\u306f\u3001\u5168\u65b9\u5411\u306b\u5747\u7b49\u306b\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u653e\u5c04\u3059\u308b\u30a2\u30f3\u30c6\u30ca\u306e\u6307\u5411\u6027\u30b2\u30a4\u30f3\u304c 1 \u3067\u3042\u308b\u3053\u3068\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n<h2>\u5b9f\u969b\u306e\u4f8b<\/h2>\n<p>\u5b9f\u969b\u306e\u30a2\u30f3\u30c6\u30ca\u3067\u306f\u3001\u6307\u5411\u6027\u30b2\u30a4\u30f3\u306f\u901a\u5e38\u3082\u3063\u3068\u9ad8\u3044\u5024\u3092\u6301\u3061\u307e\u3059\u3002\u4f8b\u3048\u3070\u3001\u30d1\u30e9\u30dc\u30e9\u30a2\u30f3\u30c6\u30ca\u306e\u5834\u5408\u3001\u5927\u304d\u306a\u30c7\u30a3\u30c3\u30b7\u30e5\u306b\u3088\u3063\u3066\u7279\u5b9a\u306e\u65b9\u5411\u306b\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u96c6\u4e2d\u3055\u305b\u308b\u305f\u3081\u3001\u975e\u5e38\u306b\u9ad8\u3044\u6307\u5411\u6027\u30b2\u30a4\u30f3\u3092\u6301\u3061\u307e\u3059\u3002\u3053\u306e\u3088\u3046\u306a\u30a2\u30f3\u30c6\u30ca\u3067\u306f\u3001\u4e3b\u30d3\u30fc\u30e0\u306e\u65b9\u5411\u306b\u4fe1\u53f7\u304c\u5f37\u304f\u96c6\u4e2d\u3057\u3001\u4ed6\u306e\u65b9\u5411\u3078\u306e\u653e\u5c04\u306f\u975e\u5e38\u306b\u5c11\u306a\u304f\u306a\u308a\u307e\u3059\u3002<\/p>\n<h2>\u307e\u3068\u3081<\/h2>\n<p>\u30a2\u30f3\u30c6\u30ca\u306e\u6307\u5411\u6027\u65b9\u7a0b\u5f0f\u3068\u305d\u306e\u8a08\u7b97\u65b9\u6cd5\u306b\u3064\u3044\u3066\u7c21\u5358\u306b\u7d39\u4ecb\u3057\u307e\u3057\u305f\u3002\u6307\u5411\u6027\u30b2\u30a4\u30f3\u306f\u30a2\u30f3\u30c6\u30ca\u306e\u91cd\u8981\u306a\u6027\u80fd\u6307\u6a19\u3067\u3042\u308a\u3001\u7279\u5b9a\u306e\u5fdc\u7528\u306b\u9069\u3057\u305f\u30a2\u30f3\u30c6\u30ca\u3092\u8a2d\u8a08\u3059\u308b\u305f\u3081\u306b\u4e0d\u53ef\u6b20\u3067\u3059\u3002\u3053\u306e\u8a18\u4e8b\u304c\u30a2\u30f3\u30c6\u30ca\u6280\u8853\u306e\u7406\u89e3\u306b\u5c11\u3057\u3067\u3082\u5f79\u7acb\u3066\u308c\u3070\u5e78\u3044\u3067\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u30a2\u30f3\u30c6\u30ca\u306e\u6307\u5411\u6027\u65b9\u7a0b\u5f0f\u306e\u6982\u8981\u3068\u8a08\u7b97\u65b9\u6cd5\u306b\u3064\u3044\u3066\u3001\u6307\u5411\u6027\u30b2\u30a4\u30f3\u3092\u4e2d\u5fc3\u306b\u89e3\u8aac\u3057\u3001\u5177\u4f53\u7684\u306a\u8a08\u7b97\u624b\u9806\u3082\u793a\u3057\u307e\u3059\u3002<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_generate-full-width-content":"","footnotes":""},"categories":[96],"tags":[97],"class_list":["post-209216","post","type-post","status-publish","format-standard","hentry","category-96","tag-97","generate-columns","tablet-grid-50","mobile-grid-100","grid-parent","grid-50"],"yoast_head":"<!-- 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