{"id":209190,"date":"2024-03-21T14:06:31","date_gmt":"2024-03-21T14:06:31","guid":{"rendered":"https:\/\/www.electricity-magnetism.org\/%e3%83%9f%e3%83%bc%e6%95%a3%e4%b9%b1%e5%bc%8f-%e6%a6%82%e8%a6%81%e3%80%81%e8%a8%88%e7%ae%97%e6%96%b9%e6%b3%95%e3%81%a8%e5%bf%9c%e7%94%a8\/"},"modified":"2024-05-17T15:08:38","modified_gmt":"2024-05-17T15:08:38","slug":"%e3%83%9f%e3%83%bc%e6%95%a3%e4%b9%b1%e5%bc%8f-%e6%a6%82%e8%a6%81%e3%80%81%e8%a8%88%e7%ae%97%e6%96%b9%e6%b3%95%e3%81%a8%e5%bf%9c%e7%94%a8","status":"publish","type":"post","link":"https:\/\/www.electricity-magnetism.org\/ja\/%e3%83%9f%e3%83%bc%e6%95%a3%e4%b9%b1%e5%bc%8f-%e6%a6%82%e8%a6%81%e3%80%81%e8%a8%88%e7%ae%97%e6%96%b9%e6%b3%95%e3%81%a8%e5%bf%9c%e7%94%a8\/","title":{"rendered":"\u30df\u30fc\u6563\u4e71\u5f0f | \u6982\u8981\u3001\u8a08\u7b97\u65b9\u6cd5\u3068\u5fdc\u7528"},"content":{"rendered":"<p class=\"sidekick\">\u30df\u30fc\u6563\u4e71\u5f0f\u306f\u3001\u5149\u304c\u7c92\u5b50\u3068\u76f8\u4e92\u4f5c\u7528\u3059\u308b\u969b\u306e\u6563\u4e71\u73fe\u8c61\u3092\u89e3\u6790\u3059\u308b\u305f\u3081\u306e\u6570\u5f0f\u3067\u3042\u308a\u3001\u6c17\u8c61\u5b66\u3001\u751f\u7269\u5b66\u3001\u6750\u6599\u79d1\u5b66\u306a\u3069\u591a\u65b9\u9762\u3067\u5229\u7528\u3055\u308c\u307e\u3059\u3002<\/p>\n<h2>\u30df\u30fc\u6563\u4e71\u5f0f | \u6982\u8981\u3001\u8a08\u7b97\u65b9\u6cd5\u3068\u5fdc\u7528<\/h2>\n<h3>\u6982\u8981<\/h3>\n<p>\u30df\u30fc\u6563\u4e71\uff08Mie Scattering\uff09\u3068\u306f\u3001\u5149\u304c\u7c92\u5b50\u3068\u76f8\u4e92\u4f5c\u7528\u3059\u308b\u969b\u306b\u751f\u3058\u308b\u6563\u4e71\u73fe\u8c61\u306e\u4e00\u3064\u3067\u3059\u3002\u3053\u306e\u73fe\u8c61\u306f\u3001\u7279\u306b\u7c92\u5b50\u306e\u30b5\u30a4\u30ba\u304c\u5149\u306e\u6ce2\u9577\u306b\u8fd1\u3044\u5834\u5408\u306b\u9855\u8457\u306b\u89b3\u5bdf\u3055\u308c\u308b\u3053\u3068\u304c\u7279\u5fb4\u3067\u3059\u3002\u30df\u30fc\u6563\u4e71\u306f\u3001\u9727\u3001\u30df\u30c4\u30d0\u30c1\u306e\u76ee\u3001\u30d7\u30e9\u30b9\u30c1\u30c3\u30af\u306e\u5fae\u7c92\u5b50\u306a\u3069\u3001\u81ea\u7136\u754c\u3084\u5de5\u696d\u7528\u9014\u3067\u983b\u7e41\u306b\u898b\u3089\u308c\u308b\u73fe\u8c61\u3067\u3059\u3002\u3053\u308c\u3092\u8aac\u660e\u3059\u308b\u305f\u3081\u306b\u3001\u30c9\u30a4\u30c4\u306e\u7269\u7406\u5b66\u8005\u30b0\u30b9\u30bf\u30d5\u30fb\u30df\u30fc\u304c1908\u5e74\u306b\u63d0\u6848\u3057\u305f\u30df\u30fc\u6563\u4e71\u5f0f\u304c\u3088\u304f\u4f7f\u308f\u308c\u307e\u3059\u3002<\/p>\n<h3>\u8a08\u7b97\u65b9\u6cd5<\/h3>\n<p>\u30df\u30fc\u6563\u4e71\u5f0f\u306f\u3001\u5149\u306e\u6ce2\u9577\u3001\u7c92\u5b50\u306e\u30b5\u30a4\u30ba\u3001\u7c92\u5b50\u306e\u5f62\u72b6\u3001\u305d\u3057\u3066\u6750\u6599\u306e\u5c48\u6298\u7387\u306b\u3088\u3063\u3066\u6c7a\u5b9a\u3055\u308c\u307e\u3059\u3002\u5177\u4f53\u7684\u306a\u8a08\u7b97\u306f\u8907\u96d1\u3067\u4e00\u9023\u306e\u7279\u6b8a\u95a2\u6570\u3068\u7121\u9650\u7d1a\u6570\u304c\u95a2\u4e0e\u3057\u307e\u3059\u3002\u57fa\u672c\u7684\u306b\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8868\u3055\u308c\u308b\u30df\u30fc\u7406\u8ad6\u3092\u7528\u3044\u3066\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002<\/p>\n<p>\u307e\u305a\u3001\u30df\u30fc\u7406\u8ad6\u3067\u306f\u3001\u4ee5\u4e0b\u306e\u5909\u6570\u304c\u4f7f\u308f\u308c\u307e\u3059\uff1a<br \/>\n&#8211; $$ a $$ : \u7c92\u5b50\u306e\u534a\u5f84<br \/>\n&#8211; $$ \\lambda $$ : \u5149\u306e\u6ce2\u9577<br \/>\n&#8211; $$ m $$ : \u7c92\u5b50\u306e\u5c48\u6298\u7387\uff08\u8907\u7d20\u6570\uff09<\/p>\n<p>\u3053\u308c\u3089\u3092\u7528\u3044\u3066\u3001\u6b21\u306e\u3088\u3046\u306a\u7121\u6b21\u5143\u30d1\u30e9\u30e1\u30fc\u30bf\u300c\u30b5\u30a4\u30ba\u30d1\u30e9\u30e1\u30fc\u30bf\u300d$$ x $$\u304c\u5b9a\u7fa9\u3055\u308c\u307e\u3059\uff1a<br \/>\n$$<br \/>\nx = \\frac{2 \\pi a}{\\lambda}<br \/>\n$$<\/p>\n<p>\u3053\u3053\u304b\u3089\u30df\u30fc\u6563\u4e71\u4fc2\u6570\u3084\u52b9\u7387\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u7d1a\u6570\u5c55\u958b\u3067\u6c42\u3081\u3089\u308c\u307e\u3059\uff1a<br \/>\n$$<br \/>\nQ_{sc} = \\frac{2}{x^2} \\sum_{n=1}^{\\infty} (2n+1) (|a_n|^2 + |b_n|^2)<br \/>\n$$<\/p>\n<p>\u3053\u3053\u3067\u3001$$ a_n $$\u3068$$ b_n $$\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3055\u308c\u308b\u7279\u6b8a\u95a2\u6570\u3067\u3059\uff1a<br \/>\n$$<br \/>\na_n = \\frac{m \\psi_n(mx) \\psi_n'(x) &#8211; \\psi_n(x) \\psi_n'(mx)}{m \\psi_n(mx) \\zeta_n'(x) &#8211; \\zeta_n(x) \\psi_n'(mx)}<br \/>\n$$<br \/>\n$$<br \/>\nb_n = \\frac{\\psi_n(mx) \\psi_n'(x) &#8211; m \\psi_n(x) \\psi_n'(mx)}{\\psi_n(mx) \\zeta_n'(x) &#8211; m \\zeta_n(x) \\psi_n'(mx)}<br \/>\n$$<\/p>\n<p>\u3053\u3053\u3067\u4f7f\u7528\u3055\u308c\u308b\u95a2\u6570$\\psi_n$\u3068$\\zeta_n$\u306f\u30ea\u30b7\u30e5\u30ec\u95a2\u6570\uff08Ricacati-Bessel function\uff09\u3068\u547c\u3070\u308c\u308b\u3082\u306e\u3067\u3059\u3002\u8a08\u7b97\u306f\u4e00\u822c\u7684\u306b\u6570\u5024\u8a08\u7b97\u6cd5\uff08\u4f8b\u3048\u3070\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30d7\u30ed\u30b0\u30e9\u30e0\uff09\u3092\u7528\u3044\u3066\u884c\u3044\u307e\u3059\u3002<\/p>\n<h3>\u5fdc\u7528<\/h3>\n<p>\u30df\u30fc\u6563\u4e71\u306e\u5fdc\u7528\u306b\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u3082\u306e\u304c\u3042\u308a\u307e\u3059\uff1a<\/p>\n<p>1. **\u6c17\u8c61\u5b66**:<br \/>\n    \u30df\u30fc\u6563\u4e71\u306f\u9727\u3084\u96f2\u306e\u7c92\u5b50\u306b\u3088\u308b\u5149\u306e\u6563\u4e71\u3092\u8aac\u660e\u3059\u308b\u305f\u3081\u306b\u4f7f\u308f\u308c\u307e\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u6c17\u8c61\u30ec\u30fc\u30c0\u30fc\u304c\u96e8\u5929\u3092\u89b3\u6e2c\u3059\u308b\u969b\u306e\u7cbe\u5ea6\u304c\u5411\u4e0a\u3057\u307e\u3059\u3002<\/p>\n<p>2. **\u751f\u7269\u5b66**:<br \/>\n    \u30df\u30c4\u30d0\u30c1\u3084\u4ed6\u306e\u6606\u866b\u306e\u76ee\u304c\u5149\u3092\u3069\u306e\u3088\u3046\u306b\u6563\u4e71\u3059\u308b\u304b\u3092\u7406\u89e3\u3059\u308b\u3053\u3068\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u6606\u866b\u306e\u8996\u899a\u30e1\u30ab\u30cb\u30ba\u30e0\u306e\u7814\u7a76\u306b\u5fdc\u7528\u3055\u308c\u307e\u3059\u3002<\/p>\n<p>3. **\u6750\u6599\u79d1\u5b66**:<br \/>\n    \u7279\u5b9a\u306e\u7c92\u5b50\u304c\u3069\u306e\u3088\u3046\u306a\u5149\u5b66\u7279\u6027\u3092\u6301\u3064\u304b\u3092\u4e88\u6e2c\u3059\u308b\u305f\u3081\u306b\u3001\u7dbf\u5bc6\u306a\u30df\u30fc\u6563\u4e71\u30e2\u30c7\u30eb\u304c\u4f7f\u308f\u308c\u307e\u3059\u3002\u7279\u306b\u30ca\u30ce\u7c92\u5b50\u7814\u7a76\u3067\u91cd\u8981\u3067\u3059\u3002<\/p>\n<p>4. **\u533b\u7528\u5de5\u5b66**:<br \/>\n    \u7d50\u5408\u7d44\u7e54\u3084\u809d\u81d3\u306e\u3088\u3046\u306a\u751f\u4f53\u7d44\u7e54\u306e\u5149\u6563\u4e71\u7279\u6027\u3092\u7406\u89e3\u3059\u308b\u305f\u3081\u306b\u3082\u5229\u7528\u3055\u308c\u307e\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u975e\u4fb5\u8972\u7684\u306a\u533b\u7642\u8a3a\u65ad\u6280\u8853\u306e\u958b\u767a\u304c\u4fc3\u9032\u3055\u308c\u307e\u3059\u3002<\/p>\n<h3>\u7d50\u8ad6<\/h3>\n<p>\u30df\u30fc\u6563\u4e71\u5f0f\u306f\u3001\u7c92\u5b50\u3068\u5149\u306e\u76f8\u4e92\u4f5c\u7528\u3092\u7406\u89e3\u3059\u308b\u305f\u3081\u306e\u5f37\u529b\u306a\u30c4\u30fc\u30eb\u3067\u3059\u3002\u8907\u96d1\u306a\u8a08\u7b97\u304c\u5fc5\u8981\u306a\u305f\u3081\u5c02\u9580\u7684\u306a\u77e5\u8b58\u304c\u6c42\u3081\u3089\u308c\u307e\u3059\u304c\u3001\u305d\u306e\u5fdc\u7528\u7bc4\u56f2\u306f\u975e\u5e38\u306b\u5e83\u304f\u3001\u591a\u304f\u306e\u79d1\u5b66\u5206\u91ce\u3067\u4e0d\u53ef\u6b20\u306a\u5f79\u5272\u3092\u679c\u305f\u3057\u3066\u3044\u307e\u3059\u3002\u7269\u7406\u5b66\u3084\u5de5\u5b66\u306e\u57fa\u790e\u3092\u5b66\u3076\u969b\u306b\u306f\u3001\u305c\u3072\u3053\u306e\u30df\u30fc\u6563\u4e71\u306e\u6982\u5ff5\u3092\u6df1\u304f\u7406\u89e3\u3057\u3066\u307f\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u30df\u30fc\u6563\u4e71\u5f0f\u306f\u3001\u5149\u304c\u7c92\u5b50\u3068\u76f8\u4e92\u4f5c\u7528\u3059\u308b\u969b\u306e\u6563\u4e71\u73fe\u8c61\u3092\u89e3\u6790\u3059\u308b\u305f\u3081\u306e\u6570\u5f0f\u3067\u3042\u308a\u3001\u6c17\u8c61\u5b66\u3001\u751f\u7269\u5b66\u3001\u6750\u6599\u79d1\u5b66\u306a\u3069\u591a\u65b9\u9762\u3067\u5229\u7528\u3055\u308c\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-209190","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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