{"id":209351,"date":"2024-03-21T14:07:31","date_gmt":"2024-03-21T14:07:31","guid":{"rendered":"https:\/\/www.electricity-magnetism.org\/%e3%83%81%e3%82%a7%e3%83%ac%e3%83%b3%e3%82%b3%e3%83%95%e6%94%be%e5%b0%84-%e5%bc%8f-%e5%ae%9a%e7%be%a9-%e4%bd%bf%e3%81%84%e6%96%b9\/"},"modified":"2024-05-17T15:11:07","modified_gmt":"2024-05-17T15:11:07","slug":"%e3%83%81%e3%82%a7%e3%83%ac%e3%83%b3%e3%82%b3%e3%83%95%e6%94%be%e5%b0%84-%e5%bc%8f-%e5%ae%9a%e7%be%a9-%e4%bd%bf%e3%81%84%e6%96%b9","status":"publish","type":"post","link":"https:\/\/www.electricity-magnetism.org\/ja\/%e3%83%81%e3%82%a7%e3%83%ac%e3%83%b3%e3%82%b3%e3%83%95%e6%94%be%e5%b0%84-%e5%bc%8f-%e5%ae%9a%e7%be%a9-%e4%bd%bf%e3%81%84%e6%96%b9\/","title":{"rendered":"\u30c1\u30a7\u30ec\u30f3\u30b3\u30d5\u653e\u5c04 | \u5f0f, \u5b9a\u7fa9, \u4f7f\u3044\u65b9"},"content":{"rendered":"

\u30c1\u30a7\u30ec\u30f3\u30b3\u30d5\u653e\u5c04\u306f\u3001\u7c92\u5b50\u304c\u5a92\u8cea\u4e2d\u3092\u5149\u901f\u3088\u308a\u3082\u901f\u304f\u79fb\u52d5\u3059\u308b\u969b\u306b\u767a\u751f\u3059\u308b\u5149\u306e\u653e\u5c04\u3067\u3001\u653e\u5c04\u7dda\u691c\u51fa\u5668\u3084\u5929\u6587\u5b66\u306a\u3069\u591a\u5c90\u306b\u308f\u305f\u308b\u5fdc\u7528\u304c\u3042\u308b\u73fe\u8c61\u3067\u3059\u3002<\/p>\n

\u30c1\u30a7\u30ec\u30f3\u30b3\u30d5\u653e\u5c04\u306b\u3064\u3044\u3066<\/h2>\n

\u30c1\u30a7\u30ec\u30f3\u30b3\u30d5\u653e\u5c04\u306f\u3001\u96fb\u78c1\u6c17\u5b66\u306e\u91cd\u8981\u306a\u73fe\u8c61\u306e\u4e00\u3064\u3067\u3059\u3002\u3053\u308c\u306f\u3001\u7c92\u5b50\u304c\u5149\u3088\u308a\u3082\u901f\u304f\u7269\u8cea\u4e2d\u3092\u79fb\u52d5\u3059\u308b\u969b\u306b\u767a\u751f\u3059\u308b\u5149\u306e\u653e\u5c04\u3067\u3059\u3002\u4ee5\u4e0b\u3067\u306f\u3001\u30c1\u30a7\u30ec\u30f3\u30b3\u30d5\u653e\u5c04\u306e\u5b9a\u7fa9\u3001\u5f0f\u3001\u305d\u3057\u3066\u3055\u307e\u3056\u307e\u306a\u5fdc\u7528\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u8aac\u660e\u3057\u307e\u3059\u3002<\/p>\n

\u30c1\u30a7\u30ec\u30f3\u30b3\u30d5\u653e\u5c04\u306e\u5b9a\u7fa9<\/h2>\n

\u30c1\u30a7\u30ec\u30f3\u30b3\u30d5\u653e\u5c04\uff08Cherenkov Radiation\uff09\u306f\u3001\u30ed\u30b7\u30a2\u306e\u7269\u7406\u5b66\u8005\u30d1\u30fc\u30f4\u30a7\u30eb\u30fb\u30c1\u30a7\u30ec\u30f3\u30b3\u30d5\u306b\u3088\u3063\u3066\u767a\u898b\u3055\u308c\u307e\u3057\u305f\u3002\u3053\u306e\u73fe\u8c61\u306f\u3001\u7c92\u5b50\u304c\u5a92\u8cea\uff08\u4e00\u822c\u7684\u306b\u306f\u6c34\u3084\u30ac\u30e9\u30b9\u306e\u3088\u3046\u306a\u900f\u660e\u306a\u7269\u8cea\uff09\u306e\u4e2d\u3092\u5149\u901f\u3088\u308a\u3082\u901f\u3044\u901f\u5ea6\u3067\u79fb\u52d5\u3059\u308b\u969b\u306b\u653e\u5c04\u3055\u308c\u308b\u96fb\u78c1\u6ce2\uff08\u5149\uff09\u3092\u6307\u3057\u307e\u3059\u3002\u5177\u4f53\u7684\u306b\u306f\u3001\u5a92\u8cea\u4e2d\u306e\u5149\u901f \\(c\/n\\) \u3088\u308a\u3082\u901f\u3044\u901f\u5ea6 \\(v\\) \u3067\u7c92\u5b50\u304c\u79fb\u52d5\u3059\u308b\u3068\u304d\u306b\u767a\u751f\u3057\u307e\u3059\u3002\u3053\u3053\u3067\u3001\\(c\\) \u306f\u771f\u7a7a\u4e2d\u306e\u5149\u901f\u3001\\(n\\) \u306f\u5a92\u8cea\u306e\u5c48\u6298\u7387\u3067\u3059\u3002<\/p>\n

\u30c1\u30a7\u30ec\u30f3\u30b3\u30d5\u6761\u4ef6<\/h2>\n

\u30c1\u30a7\u30ec\u30f3\u30b3\u30d5\u653e\u5c04\u304c\u8d77\u3053\u308b\u305f\u3081\u306b\u306f\u3001\u4ee5\u4e0b\u306e\u6761\u4ef6\u304c\u6e80\u305f\u3055\u308c\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\uff1a<\/p>\n

\\[ v > \\frac{c}{n} \\]<\/p>\n

\u3053\u306e\u6761\u4ef6\u3092\u6e80\u305f\u3059\u3068\u3001\u7c92\u5b50\u304c\u5a92\u8cea\u4e2d\u3092\u79fb\u52d5\u3059\u308b\u3068\u304d\u306b\u3001\u305d\u306e\u5468\u56f2\u306e\u96fb\u5834\u304c\u5909\u5316\u3057\u3001\u5149\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u304c\u653e\u51fa\u3055\u308c\u307e\u3059\u3002\u3053\u306e\u3068\u304d\u3001\u30c1\u30a7\u30ec\u30f3\u30b3\u30d5\u653e\u5c04\u306f\u7279\u5b9a\u306e\u89d2\u5ea6\u3067\u653e\u51fa\u3055\u308c\u307e\u3059\u3002<\/p>\n

\u30c1\u30a7\u30ec\u30f3\u30b3\u30d5\u89d2<\/h2>\n

\u30c1\u30a7\u30ec\u30f3\u30b3\u30d5\u653e\u5c04\u306e\u653e\u5c04\u89d2\uff08\u30c1\u30a7\u30ec\u30f3\u30b3\u30d5\u89d2\uff09 \\(\\theta_C\\) \u306f\u3001\u6b21\u306e\u3088\u3046\u306b\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\uff1a<\/p>\n

\\[ \\cos \\theta_C = \\frac{c}{n v} \\]<\/p>\n

\u3053\u308c\u306f\u3001\u7c92\u5b50\u306e\u901f\u5ea6\u3068\u5a92\u8cea\u306e\u5c48\u6298\u7387\u306b\u4f9d\u5b58\u3057\u307e\u3059\u3002\u3053\u306e\u89d2\u5ea6\u3067\u8a2d\u5b9a\u3055\u308c\u305f\u5186\u9310\u5f62\u306e\u30d1\u30bf\u30fc\u30f3\u3067\u5149\u304c\u653e\u51fa\u3055\u308c\u308b\u305f\u3081\u3001\u8996\u899a\u7684\u306b\u306f\u9752\u767d\u3044\u5149\u3068\u3057\u3066\u89b3\u5bdf\u3055\u308c\u308b\u3053\u3068\u304c\u591a\u3044\u3067\u3059\u3002<\/p>\n

\u30c1\u30a7\u30ec\u30f3\u30b3\u30d5\u653e\u5c04\u306e\u5f0f<\/h2>\n

\u30c1\u30a7\u30ec\u30f3\u30b3\u30d5\u653e\u5c04\u306e\u5177\u4f53\u7684\u306a\u5f37\u5ea6\u3092\u8868\u3059\u305f\u3081\u306e\u5f0f\u3082\u3042\u308a\u307e\u3059\u3002\u3053\u306e\u5f37\u5ea6\u306f\u3001\u6ce2\u9577 \\(\\lambda\\) \u306b\u4f9d\u5b58\u3057\u307e\u3059\u3002\u5f0f\u306f\u6b21\u306e\u3088\u3046\u306b\u8868\u3055\u308c\u307e\u3059\uff1a<\/p>\n

\\[ \\frac{d^2I}{dxd\\lambda} = \\frac{e^2}{c^2} \\left( 1 – \\frac{c^2}{v^2 n^2} \\right) \\]<\/p>\n

\u3053\u3053\u3067\u3001\\(I\\) \u306f\u653e\u5c04\u306e\u5f37\u5ea6\u3001\\(e\\) \u306f\u7c92\u5b50\u306e\u96fb\u8377\u3001 \\(x\\) \u306f\u8ddd\u96e2\u3001 \\(\\lambda\\) \u306f\u6ce2\u9577\u3067\u3059\u3002<\/p>\n

\u30c1\u30a7\u30ec\u30f3\u30b3\u30d5\u653e\u5c04\u306e\u5fdc\u7528<\/h2>\n

\u30c1\u30a7\u30ec\u30f3\u30b3\u30d5\u653e\u5c04\u306f\u3001\u3055\u307e\u3056\u307e\u306a\u5206\u91ce\u3067\u5fdc\u7528\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u4ee5\u4e0b\u3067\u306f\u3001\u305d\u306e\u4ee3\u8868\u7684\u306a\u5fdc\u7528\u4f8b\u3092\u3044\u304f\u3064\u304b\u7d39\u4ecb\u3057\u307e\u3059\u3002<\/p>\n

\u653e\u5c04\u7dda\u691c\u51fa\u5668<\/h3>\n

\u30c1\u30a7\u30ec\u30f3\u30b3\u30d5\u653e\u5c04\u306f\u3001\u653e\u5c04\u7dda\u691c\u51fa\u5668\uff08\u4f8b\u3048\u3070\u30c1\u30a7\u30ec\u30f3\u30b3\u30d5\u30ab\u30a6\u30f3\u30bf\u30fc\uff09\u3067\u5e83\u304f\u4f7f\u7528\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u9ad8\u901f\u8377\u96fb\u7c92\u5b50\u304c\u5a92\u8cea\u3092\u901a\u904e\u3059\u308b\u969b\u306b\u767a\u751f\u3059\u308b\u30c1\u30a7\u30ec\u30f3\u30b3\u30d5\u653e\u5c04\u3092\u691c\u51fa\u3059\u308b\u3053\u3068\u3067\u3001\u7c92\u5b50\u306e\u5b58\u5728\u3084\u901f\u5ea6\u3092\u6e2c\u5b9a\u3067\u304d\u307e\u3059\u3002<\/p>\n

\u6838\u5b9f\u9a13<\/h3>\n

\u6838\u5b9f\u9a13\u3084\u9ad8\u30a8\u30cd\u30eb\u30ae\u30fc\u7269\u7406\u306e\u5b9f\u9a13\u306b\u304a\u3044\u3066\u3082\u3001\u30c1\u30a7\u30ec\u30f3\u30b3\u30d5\u653e\u5c04\u306f\u91cd\u8981\u306a\u624b\u6bb5\u3067\u3059\u3002\u4f8b\u3048\u3070\u3001\u7c92\u5b50\u52a0\u901f\u5668\u3067\u751f\u6210\u3055\u308c\u308b\u9ad8\u30a8\u30cd\u30eb\u30ae\u30fc\u7c92\u5b50\u306e\u691c\u51fa\u306b\u5229\u7528\u3055\u308c\u307e\u3059\u3002<\/p>\n

\u5929\u6587\u5b66<\/h3>\n

\u5b87\u5b99\u7dda\u306e\u89b3\u6e2c\u3067\u3082\u30c1\u30a7\u30ec\u30f3\u30b3\u30d5\u653e\u5c04\u304c\u5229\u7528\u3055\u308c\u307e\u3059\u3002\u5b87\u5b99\u7dda\u304c\u5730\u7403\u306e\u5927\u6c17\u306b\u885d\u7a81\u3059\u308b\u969b\u306b\u767a\u751f\u3059\u308b\u30c1\u30a7\u30ec\u30f3\u30b3\u30d5\u653e\u5c04\u3092\u89b3\u6e2c\u3059\u308b\u3053\u3068\u3067\u3001\u9ad8\u30a8\u30cd\u30eb\u30ae\u30fc\u5b87\u5b99\u7dda\u306e\u7279\u6027\u3092\u8abf\u3079\u307e\u3059\u3002<\/p>\n

\u307e\u3068\u3081<\/h2>\n

\u30c1\u30a7\u30ec\u30f3\u30b3\u30d5\u653e\u5c04\u306f\u3001\u96fb\u78c1\u6c17\u5b66\u306b\u304a\u3051\u308b\u91cd\u8981\u306a\u73fe\u8c61\u3067\u3042\u308a\u3001\u591a\u304f\u306e\u5fdc\u7528\u5206\u91ce\u3067\u6d3b\u7528\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u57fa\u672c\u7684\u306a\u539f\u7406\u3068\u6761\u4ef6\u3092\u7406\u89e3\u3059\u308b\u3053\u3068\u3067\u3001\u3055\u3089\u306b\u6df1\u3044\u7269\u7406\u5b66\u306e\u4e16\u754c\u306b\u8db3\u3092\u8e0f\u307f\u5165\u308c\u308b\u7b2c\u4e00\u6b69\u3068\u306a\u308b\u3067\u3057\u3087\u3046\u3002\u3053\u306e\u73fe\u8c61\u306e\u7406\u89e3\u304c\u9032\u3080\u3053\u3068\u3067\u3001\u653e\u5c04\u7dda\u691c\u51fa\u6280\u8853\u3084\u5b87\u5b99\u7dda\u7814\u7a76\u306a\u3069\u591a\u5c90\u306b\u308f\u305f\u308b\u5206\u91ce\u3067\u306e\u9032\u5c55\u304c\u671f\u5f85\u3055\u308c\u307e\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

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