{"id":3155,"date":"2023-10-08T14:51:58","date_gmt":"2023-10-08T06:51:58","guid":{"rendered":"http:\/\/garteng.com\/?p=3155"},"modified":"2023-10-08T14:52:01","modified_gmt":"2023-10-08T06:52:01","slug":"%e9%ab%98%e6%96%af%e5%85%89%e6%9d%9fgaussian-beams","status":"publish","type":"post","link":"http:\/\/garteng.com\/?p=3155","title":{"rendered":"\u9ad8\u65af\u5149\u675f(Gaussian 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class=\"wp-block-image\"><img decoding=\"async\" src=\"http:\/\/aikelabs.com\/upload\/ueditor\/image\/20160623\/1466679061165079828.png\" alt=\"1.png\" title=\"1466679061165079828.png\"\/><\/figure><p>\u8fd9\u91cc\u5149\u675f\u534a\u5f84w(z)\u4e3a\u5149\u5f3a\u964d\u4e3a\u5cf0\u503c\u76841\/e2 (\u2248\u200913.5%)\u65f6\u8ddd\u5149\u8f74\u7684\u8ddd\u79bb\u3002\u5b54\u5f84\u534a\u5f84\u4e3aw\u65f6\u53ef\u4ee5\u900f\u5c04\u7ea686.5%\u7684\u5149\u529f\u7387\u3002\u5982\u679c\u5b54\u5f84\u534a\u5f84\u4e3a1.5w\u6216\u80052w\uff0c\u4f20\u8f93\u6bd4\u4f8b\u5206\u522b\u63d0\u9ad8\u5230 98.9%\u548c99.97%\u3002&nbsp;<\/p><p>\u9664\u4e86\u5f3a\u5ea6\u53ef\u4ee5\u91c7\u7528\u9ad8\u65af\u65b9\u7a0b\u63cf\u8ff0\uff0c\u9ad8\u65af\u5149\u675f\u7684\u6a2a\u5411\u76f8\u4f4d\u66f2\u7ebf\u53ef\u7531\u6700\u591a\u4e8c\u9636\u591a\u9879\u5f0f\u6765\u63cf\u8ff0\u3002\u5728\u4e00\u4e2a\u65b9\u5411\u4e0a\u76f8\u4f4d\u7684\u7ebf\u6027\u53d8\u5316\u53ef\u7531\u4e00\u4e2a\u503e\u89d2\u63cf\u8ff0\uff0c\u76f8\u4f4d\u7684\u4e8c\u9636\u53d8\u5316\u5219\u4e0e\u5149\u675f\u7684\u53d1\u6563\u548c\u4f1a\u805a\u76f8\u5173\u3002&nbsp;<\/p><p><strong>\u76ee\u5f55<\/strong><\/p><ol class=\"wp-block-list\"><li>\u9ad8\u65af\u5149\u675f\u7684\u4f20\u8f93<\/li>\n\n<li>\u590d\u6570\u53c2\u6570<\/li>\n\n<li>\u50cf\u6563\u5149\u675f<\/li>\n\n<li>\u9ad8\u65af\u5149\u675f\u548c\u8c10\u632f\u8154\u6a21\u5f0f<\/li>\n\n<li>\u9ad8\u65af\u5149\u675f\u7684\u91cd\u8981\u6027<\/li><\/ol><p><strong>\u9ad8\u65af\u5149\u675f\u7684\u4f20\u8f93&nbsp;<\/strong><\/p><p>\u901a\u5e38\u5728\u508d\u8f74\u8fd1\u4f3c\u9002\u7528\u7684\u60c5\u51b5\u4e0b\u5c06\u5149\u675f\u770b\u505a\u9ad8\u65af\u5149\u675f\uff0c\u5373\u5149\u675f\u53d1\u6563\u89d2\u6bd4\u8f83\u5c0f\u3002\u8fd9\u4e00\u8fd1\u4f3c\u4e0b\uff0c\u4f20\u64ad\u65b9\u7a0b\u4e2d\u7684\u4e8c\u9636\u5bfc\u6570\u9879\u53ef\u4ee5\u5ffd\u7565\uff0c\u53ea\u5f97\u5230\u4e00\u9636\u5fae\u5206\u65b9\u7a0b\u3002\u5e76\u4e14\u91c7\u7528\u8fd9\u79cd\u8fd1\u4f3c\u65f6\uff0c\u9ad8\u65af\u5149\u675f\u5728\u81ea\u7531\u7a7a\u95f4\u4e2d\u4f20\u64ad\u4ecd\u7136\u4fdd\u6301\u9ad8\u65af\u578b\uff0c\u5176\u53c2\u6570\u4f1a\u53d1\u751f\u4e00\u4e9b\u53d8\u5316\u3002\u4e00\u675f\u5355\u8272\u5149\u675f\uff0c\u6ce2\u957f\u4e3a \u03bb\uff0c\u5728z\u8f74\u4f20\u64ad\u65f6\uff0c\u7535\u573a\u7684\u590d\u632f\u5e45\u4e3a\uff1a&nbsp;<\/p><figure class=\"wp-block-image\"><img decoding=\"async\" src=\"http:\/\/aikelabs.com\/upload\/ueditor\/image\/20160623\/1466679088038090007.png\" alt=\"1.png\" title=\"1466679088038090007.png\"\/><\/figure><p>\u6700\u5927\u5e45\u503c\u4e3a|E0|\uff0c\u675f\u8170\u5904\u7684\u5149\u675f\u534a\u5f84\u4e3a w0\uff0c\u6ce2\u6570 k\u2009=\u20092\u03c0\u2009\/\u2009\u03bb\uff0czR\u4e3a\u745e\u5229\u957f\u5ea6\uff0c\u6ce2\u524d\u7684\u66f2\u7387\u534a\u5f84\u4e3aR(z)\u3002\u9707\u8361\u7684\u5b9e\u6570\u7535\u573a\u53ef\u4ee5\u901a\u8fc7\u4e58\u4ee5\u76f8\u4f4d\u56e0\u5b50exp(i\u20092\u03c0\u2009c\u2009t\u2009\/\u2009\u03bb) \u5e76\u4e14\u53d6\u5b9e\u90e8\u5f97\u5230\u3002&nbsp;<\/p><figure class=\"wp-block-image\"><img decoding=\"async\" src=\"http:\/\/aikelabs.com\/upload\/ueditor\/image\/20160623\/1466679103316075188.png\" alt=\"1.png\" title=\"1466679103316075188.png\"\/><\/figure><p>\u56fe1\uff1a\u9ad8\u65af\u5149\u675f\u7126\u70b9\u5904\u7684\u7535\u573a\u5206\u5e03\u3002\u8fd9\u65f6\u5149\u675f\u534a\u5f84\u6bd4\u6ce2\u957f\u7a0d\u5927\uff0c\u5149\u901f\u53d1\u6563\u89d2\u5f88\u5927\u3002\u6839\u636e\u4ee5\u4e0a\u65b9\u7a0b\uff0c\u573a\u7531\u5de6\u4fa7\u5411\u53f3\u4fa7\u79fb\u52a8\u3002&nbsp;<\/p><p>\u5728\u4f20\u64ad\u65b9\u5411\u4e0a\u7684\u5149\u675f\u534a\u5f84\u53d8\u5316\u4e3a\uff1a&nbsp;<\/p><figure class=\"wp-block-image\"><img decoding=\"async\" src=\"http:\/\/aikelabs.com\/upload\/ueditor\/image\/20160623\/1466679117726050767.png\" alt=\"1.png\" title=\"1466679117726050767.png\"\/><\/figure><p>\u5176\u4e2d\u745e\u5229\u957f\u5ea6\u4e3a\uff1a&nbsp;<\/p><figure class=\"wp-block-image\"><img decoding=\"async\" src=\"http:\/\/aikelabs.com\/upload\/ueditor\/image\/20160623\/1466679131351077421.png\" alt=\"1.png\" title=\"1466679131351077421.png\"\/><\/figure><p>\u51b3\u5b9a\u4e86\u5728\u591a\u957f\u8ddd\u79bb\u8303\u56f4\u5185\u5149\u675f\u4e0d\u4f1a\u53d1\u6563\u5f88\u4e25\u91cd\u7684\u4f20\u64ad\u3002\uff08\u4e4b\u524d\u901a\u5e38\u91c7\u7528\u5171\u7126\u957fb\u63cf\u8ff0\uff0c\u5b83\u662f\u745e\u5229\u957f\u5ea6\u7684\u4e8c\u500d\u3002\uff09\u51c6\u76f4\u5149\u675f\uff08\u5149\u675f\u534a\u5f84\u63a5\u8fd1\u4e8e\u5e38\u6570\uff09\u7684\u745e\u5229\u957f\u5ea6\u4e0e\u4f20\u64ad\u8ddd\u79bb\u76f8\u6bd4\u6bd4\u8f83\u5927\u3002&nbsp;<\/p><figure class=\"wp-block-image\"><img decoding=\"async\" src=\"http:\/\/aikelabs.com\/upload\/ueditor\/image\/20160623\/1466679148779072335.png\" alt=\"1.png\" title=\"1466679148779072335.png\"\/><\/figure><p>\u56fe2\uff1a\u9ad8\u65af\u5149\u675f\u7684\u5149\u675f\u534a\u5f84\u53d8\u5316\uff08\u84dd\u8272\u66f2\u7ebf\uff09\u3002\u4e24\u6761\u7ad6\u7ebf\u4ee3\u8868\u745e\u5229\u957f\u5ea6\uff0c\u865a\u7ebf\u8868\u660e\u8fdc\u79bb\u675f\u8170\u7684\u6e10\u53d8\u53d8\u5316\u60c5\u51b5\u3002&nbsp;<\/p><p>\u4ee5\u4e0a\u65b9\u7a0b\u4e2d z\u2009=\u20090\u5bf9\u5e94\u4e8e\u675f\u8170\u6216\u8005\u7126\u70b9\uff0c\u5728\u8be5\u70b9\u5149\u675f\u534a\u5f84\u662f\u6700\u5c0f\u7684\uff0c\u76f8\u4f4d\u66f2\u7ebf\u662f\u5e73\u5766\u7684\u3002\u6ce2\u524d\u66f2\u7387\u534a\u5f84\u4e3aR\u7684\u6f14\u5316\u9075\u5faa\u65b9\u7a0b\uff1a&nbsp;<\/p><figure class=\"wp-block-image\"><img decoding=\"async\" src=\"http:\/\/aikelabs.com\/upload\/ueditor\/image\/20160623\/1466679168706082701.png\" alt=\"1.png\" title=\"1466679168706082701.png\"\/><\/figure><p>\u5728\u900f\u660e\u4ecb\u8d28\u4e2d\u4f20\u64ad\u65f6\uff0c\u03bb\u662f\u4ecb\u8d28\u4e2d\u7684\u6ce2\u957f\uff08\u975e\u771f\u7a7a\u6ce2\u957f\uff09\u3002\u4e0a\u9762\u91c7\u7528\u7684\u5176\u5b83\u53c2\u6570\u548c\u65b9\u7a0b\u90fd\u4e0d\u7528\u6539\u53d8\uff0c\u8fd9\u65f6\u5047\u8bbe\u4e86\u4ecb\u8d28\u662f\u5404\u5411\u540c\u6027\u3001\u5747\u5300\u548c\u65e0\u635f\u8017\u7684\u3002&nbsp;<\/p><figure class=\"wp-block-image\"><img decoding=\"async\" src=\"http:\/\/aikelabs.com\/upload\/ueditor\/image\/20160623\/1466679187379031215.png\" alt=\"1.png\" title=\"1466679187379031215.png\"\/><\/figure><p>\u56fe3\uff1a\u5177\u6709\u5f2f\u66f2\u6ce2\u524d\u7684\u9ad8\u65af\u5149\u675f\u3002\u5728\u63a5\u8fd1\u4e8e\u7126\u70b9\u548c\u8fdc\u79bb\u7126\u70b9\u65f6\u66f2\u7387\u90fd\u5f88\u5c0f\u3002 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src=\"http:\/\/aikelabs.com\/upload\/ueditor\/image\/20160623\/1466679220402035621.png\" alt=\"1.png\" title=\"1466679220402035621.png\"\/><\/figure><p>\u8fd9\u6837\u590d\u7535\u573a\u53ef\u5199\u4e3a\uff1a&nbsp;<\/p><figure class=\"wp-block-image\"><img decoding=\"async\" src=\"http:\/\/aikelabs.com\/upload\/ueditor\/image\/20160623\/1466679234919087894.png\" alt=\"1.png\" title=\"1466679234919087894.png\"\/><\/figure><p>\u4f20\u8f93\u4e00\u5b9a\u8ddd\u79bb\u53ef\u4ee5\u7b80\u5355\u7684\u8868\u793a\u4e3a\u8be5\u8ddd\u79bb\u4e0aq\u53c2\u6570\u7684\u589e\u52a0\u3002\u5f53\u9ad8\u65af\u5149\u675f\u901a\u8fc7\u4e00\u4e2a\u66f2\u9762\u955c\u6216\u8005\u900f\u955c\u65f6\uff0c q\u53c2\u6570\u53d8\u5316\u53ef\u7531ABCD\u77e9\u9635\u8868\u793a\uff1a&nbsp;<\/p><figure class=\"wp-block-image\"><img decoding=\"async\" src=\"http:\/\/aikelabs.com\/upload\/ueditor\/image\/20160623\/1466679248928022314.png\" alt=\"1.png\" title=\"1466679248928022314.png\"\/><\/figure><p><strong>\u50cf\u6563\u5149\u675f&nbsp;<\/strong><\/p><p>\u5728\u4e24\u5782\u76f4\u7684\u6a2a\u5e73\u9762\u65b9\u5411\u4e0a\uff0c\u5199\u4e3ax\u548cy\u65b9\u5411\uff0c\u9ad8\u65af\u5149\u675f\u7684\u534a\u5f84\u548c\u53d1\u6563\u89d2\u53ef\u80fd\u4e0d\u540c\u3002\u4e0a\u9762\u7ed9\u51fa\u7684\u65b9\u7a0b\u53ef\u5206\u522b\u7528\u6765\u63cf\u8ff0\u6bcf\u4e00\u65b9\u5411\u4e0a\u5149\u675f\u534a\u5f84\u7684\u53d8\u5316\u3002\u5982\u679c\u4e24\u4e2a\u65b9\u5411\u4e0a\u7684\u7126\u70b9\u4f4d\u7f6e\u4e0d\u91cd\u5408\uff0c\u5c31\u79f0\u8be5\u5149\u675f\u662f\u50cf\u6563\u7684\u3002&nbsp;<\/p><p><strong>\u9ad8\u65af\u5149\u675f\u548c\u8c10\u632f\u8154\u6a21\u5f0f&nbsp;<\/strong><\/p><p>\u5982\u679c\u8c10\u632f\u8154\u662f\u7a33\u5b9a\u7684\uff0c\u8c10\u632f\u8154\u4e2d\u7684\u5149\u5b66\u4ecb\u8d28\u662f\u5404\u9879\u540c\u6027\u7684\uff0c\u4ecb\u8d28\u8868\u9762\u8981\u4e48\u662f\u5e73\u5766\u7684\u6216\u8005\u662f\u629b\u7269\u7ebf\u5f62\u72b6\u7684\uff0c\u90a3\u4e48\u5149\u5b66\u8c10\u632f\u8154\u6a2a\u5411\u7684\u6700\u4f4e\u9636\u6a21\u5f0f\uff08TEM00\u6216\u8005\u6a2a\u5411\u57fa\u6a21\uff09\u5c31\u662f\u9ad8\u65af\u6a21\u3002\u56e0\u6b64\uff0c\u53ea\u8f90\u5c04\u6a2a\u5411\u57fa\u6a21\u7684\u6fc0\u5149\u5668\u8f90\u5c04\u7684\u5149\u675f\u63a5\u8fd1\u4e8e\u9ad8\u65af\u578b\u3002\u800c\u4efb\u4f55\u504f\u79bb\u4e4b\u524d\u63cf\u8ff0\u7684\u6761\u4ef6\uff0c\u4f8b\u5982\uff0c\u589e\u76ca\u4ecb\u8d28\u4e2d\u5b58\u5728\u70ed\u900f\u955c\u6548\u5e94\u7b49\uff0c\u90fd\u4f1a\u4f7f\u5149\u675f\u4e3a\u975e\u9ad8\u65af\u578b\uff0c\u540c\u65f6\u8fd8\u4f1a\u6fc0\u53d1\u591a\u4e2a\u7eb5\u6a21\u3002\u66f4\u9ad8\u9636\u7eb5\u6a21\u53ef\u7531\u5384\u7c73-\u9ad8\u65af\u65b9\u7a0b\u6216\u8005\u62c9\u76d6\u5c14-\u9ad8\u65af\u65b9\u7a0b\u6765\u63cf\u8ff0\u3002\u4efb\u610f\u60c5\u51b5\u4e0b\uff0c\u4e0e\u9ad8\u65af\u8c31\u578b\u7684\u504f\u79bb\u90fd\u53ef\u4ee5\u7531 M2\u56e0\u5b50\u5b9a\u91cf\u8868\u793a\u3002\u9ad8\u65af\u5149\u675f\u5177\u6709\u6700\u9ad8\u7684\u5149\u675f\u8d28\u91cf\uff0c\u5bf9\u5e94\u7684\u5149\u675f\u53c2\u91cf\u4e58\u79ef\u6700\u5c0f\uff0c\u5e76\u4e14\u5bf9\u5e94\u7684M2 = 1\u3002&nbsp;<\/p><p>\u5149\u7ea4\u7684\u57fa\u6a21\u5e76\u4e0d\u4e25\u683c\u4e3a\u9ad8\u65af\u578b\uff0c\u4f46\u662f\u5f62\u72b6\u4e0e\u9ad8\u65af\u578b\u5dee\u522b\u4e0d\u662f\u5f88\u5927\u3002\u56e0\u6b64\uff0c\u91c7\u7528\u5408\u9002\u7684\u5149\u5b66\u5143\u4ef6\uff0c\u9ad8\u65af\u5149\u675f\u53ef\u4ee5\u6709\u6548\u8fdb\u5165\u5355\u6a21\u5149\u7ea4\u4e2d\uff0880%\u6216\u66f4\u5927\uff09\u3002&nbsp;<\/p><p><strong>\u9ad8\u65af\u5149\u675f\u7684\u91cd\u8981\u6027&nbsp;<\/strong><\/p><p>\u9ad8\u65af\u5149\u675f\u7684\u91cd\u8981\u6027\u4f53\u73b0\u5728\u4ee5\u4e0b\u51e0\u4e2a\u91cd\u8981\u7279\u6027\u4e0a\uff1a&nbsp;<\/p><ol class=\"wp-block-list\"><li>\u5728\u5149\u8f74\u7684\u4efb\u610f\u4f4d\u7f6e\u5904\u9ad8\u65af\u5149\u675f\u7684\u5f3a\u5ea6\u6a2a\u65ad\u9762\u66f2\u7ebf\u90fd\u662f\u9ad8\u65af\u578b\uff0c\u53ea\u662f\u5149\u675f\u534a\u5f84\u4f1a\u53d1\u751f\u53d8\u5316\u3002&nbsp;<\/li>\n\n<li>\u901a\u8fc7\u4e00\u4e9b\u7b80\u5355\u7684\u5149\u5b66\u5143\u4ef6\u540e\uff08\u4f8b\u5982\uff0c\u65e0\u8c61\u5dee\u900f\u955c\uff09\u3002&nbsp;<\/li>\n\n<li>\u5f53\u8154\u5185\u4e0d\u5b58\u5728\u5149\u675f\u7578\u53d8\u7684\u60c5\u51b5\u4e0b\uff0c\u9ad8\u65af\u5149\u675f\u4e3a\u5149\u5b66\u8c10\u632f\u8154\u7684\u6700\u4f4e\u9636\u6a21\u5f0f\uff08\u8c10\u632f\u8154\u6a21\u5f0f\uff09\u3002\u56e0\u6b64\u8bb8\u591a\u6fc0\u5149\u5668\u7684\u8f93\u51fa\u90fd\u662f\u9ad8\u65af\u5149\u675f\u3002&nbsp;<\/li>\n\n<li>\u5355\u6a21\u5149\u7ea4\u4e2d\u7684\u6a21\u5f0f\u5f62\u72b6\u63a5\u8fd1\u4e8e\u9ad8\u65af\u578b\u3002\u901a\u5e38\u5728\u8ba1\u7b97\u4e2d\u4f1a\u91c7\u7528\u9ad8\u65af\u8fd1\u4f3c\u56e0\u4e3a\u8fd9\u5728\u8ba1\u7b97\u5149\u675f\u4f20\u64ad\u60c5\u51b5\u65f6\u76f8\u5bf9\u7b80\u5355\u3002&nbsp;<\/li>\n\n<li>\u9ad8\u9636\u6a21\u5f0f\u5bf9\u5e94\u7684\u662f\u5384\u7c73-\u9ad8\u65af\u578b\u3002\u573a\u5206\u5e03\u66f4\u52a0\u590d\u6742\uff0c\u5149\u675f\u53c2\u91cf\u4e58\u79ef\u66f4\u5927\u3002&nbsp;<\/li>\n\n<li>\u9ad8\u65af\u6a21\u5f0f\u5206\u6790\u53ef\u4ee5\u63a8\u5e7f\u5230\u5149\u675f\u8d28\u91cf\u5dee\u7684\u5149\u675f\u4e2d\uff0c\u9700\u8981\u91c7\u7528M2\u56e0\u5b50\u3002&nbsp;<\/li><\/ol>","protected":false},"excerpt":{"rendered":"<p>\u5b9a\u4e49\uff1a\u5149\u675f\u5728\u5782\u76f4\u4e8e\u5149\u8f74\u5e73\u9762\u4e0a\u7684\u7535\u573a\u53ef\u7531\u9ad8\u65af\u65b9\u7a0b\u8868\u793a\uff0c\u6709\u65f6\u8fd8\u4f1a\u6709\u9644\u52a0\u7684\u629b\u7269\u7ebf\u578b\u76f8\u4f4d\u66f2\u7ebf\u3002 \u76f8\u5173\u8bcd\u6761\uff1a\u6a21\u5f0fABCD\u77e9\u9635\u5149\u675f\u53c2\u91cf\u4e58\u79ef\u5149\u675f\u8d28\u91cf\u5149\u675f\u534a\u5f84\u675f\u8170\u51c6\u76f4\u5149\u675f\u884d\u5c04\u6781\u9650\u5149\u675f\u53e4\u4f9d\u76f8\u79fb\u6fc0\u5149\u5149\u675fM2\u56e0\u5b50 \u5c24\u5176\u662f\u5728\u6fc0\u5149\u7269\u7406\u4e2d\uff0c\u6fc0\u5149\u5149\u675f\u901a\u5e38\u4e3a\u9ad8\u65af\u5149\u675f\uff0c\u662f\u4ee5\u6570\u5b66\u5bb6\u548c\u7269\u7406\u5b66\u5bb6Johann Carl Friedrich Gau\u00df\u547d\u540d\u3002\u8fd9\u65f6\u529f\u7387\u4e3aP\u7684\u5149\u675f\u5149\u5f3a\u7684\u6a2a\u65ad\u9762\u53ef\u7531\u9ad8\u65af\u65b9\u7a0b\u8868\u793a\uff1a&nbsp; \u8fd9\u91cc\u5149\u675f\u534a\u5f84w(z)\u4e3a\u5149\u5f3a\u964d\u4e3a\u5cf0\u503c\u76841\/e2 (\u2248\u200913.5%)\u65f6\u8ddd\u5149\u8f74\u7684\u8ddd\u79bb\u3002\u5b54\u5f84\u534a\u5f84\u4e3aw\u65f6\u53ef\u4ee5\u900f\u5c04\u7ea686.5%\u7684\u5149\u529f\u7387\u3002\u5982\u679c\u5b54\u5f84\u534a\u5f84\u4e3a1.5w\u6216\u80052w\uff0c\u4f20\u8f93\u6bd4\u4f8b\u5206\u522b\u63d0\u9ad8\u5230 98.9%\u548c99.97%\u3002&nbsp; \u9664\u4e86\u5f3a\u5ea6\u53ef\u4ee5\u91c7\u7528\u9ad8\u65af\u65b9\u7a0b\u63cf\u8ff0\uff0c\u9ad8\u65af\u5149\u675f\u7684\u6a2a\u5411\u76f8\u4f4d\u66f2\u7ebf\u53ef\u7531\u6700\u591a\u4e8c\u9636\u591a\u9879\u5f0f\u6765\u63cf\u8ff0\u3002\u5728\u4e00\u4e2a\u65b9\u5411\u4e0a\u76f8\u4f4d\u7684\u7ebf\u6027\u53d8\u5316\u53ef\u7531\u4e00\u4e2a\u503e\u89d2\u63cf\u8ff0\uff0c\u76f8\u4f4d\u7684\u4e8c\u9636\u53d8\u5316\u5219\u4e0e\u5149\u675f\u7684\u53d1\u6563\u548c\u4f1a\u805a\u76f8\u5173\u3002&nbsp; \u76ee\u5f55 \u9ad8\u65af\u5149\u675f\u7684\u4f20\u8f93&nbsp; \u901a\u5e38\u5728\u508d\u8f74\u8fd1\u4f3c\u9002\u7528\u7684\u60c5\u51b5\u4e0b\u5c06\u5149\u675f\u770b\u505a\u9ad8\u65af\u5149\u675f\uff0c\u5373\u5149\u675f\u53d1\u6563\u89d2\u6bd4\u8f83\u5c0f\u3002\u8fd9\u4e00\u8fd1\u4f3c\u4e0b\uff0c\u4f20\u64ad\u65b9\u7a0b\u4e2d\u7684\u4e8c\u9636\u5bfc\u6570\u9879\u53ef\u4ee5\u5ffd\u7565\uff0c\u53ea\u5f97\u5230\u4e00\u9636\u5fae\u5206\u65b9\u7a0b\u3002\u5e76\u4e14\u91c7\u7528\u8fd9\u79cd\u8fd1\u4f3c\u65f6\uff0c\u9ad8\u65af\u5149\u675f\u5728\u81ea\u7531\u7a7a\u95f4\u4e2d\u4f20\u64ad\u4ecd\u7136\u4fdd\u6301\u9ad8\u65af\u578b\uff0c\u5176\u53c2\u6570\u4f1a\u53d1\u751f\u4e00\u4e9b\u53d8\u5316\u3002\u4e00\u675f\u5355\u8272\u5149\u675f\uff0c\u6ce2\u957f\u4e3a \u03bb\uff0c\u5728z\u8f74\u4f20\u64ad\u65f6\uff0c\u7535\u573a\u7684\u590d\u632f\u5e45\u4e3a\uff1a&nbsp; \u6700\u5927\u5e45\u503c\u4e3a|E0|\uff0c\u675f\u8170\u5904\u7684\u5149\u675f\u534a\u5f84\u4e3a w0\uff0c\u6ce2\u6570 k\u2009=\u20092\u03c0\u2009\/\u2009\u03bb\uff0czR\u4e3a\u745e\u5229\u957f\u5ea6\uff0c\u6ce2\u524d\u7684\u66f2\u7387\u534a\u5f84\u4e3aR(z)\u3002\u9707\u8361\u7684\u5b9e\u6570\u7535\u573a\u53ef\u4ee5\u901a\u8fc7\u4e58\u4ee5\u76f8\u4f4d\u56e0\u5b50exp(i\u20092\u03c0\u2009c\u2009t\u2009\/\u2009\u03bb) \u5e76\u4e14\u53d6\u5b9e\u90e8\u5f97\u5230\u3002&nbsp; \u56fe1\uff1a\u9ad8\u65af\u5149\u675f\u7126\u70b9\u5904\u7684\u7535\u573a\u5206\u5e03\u3002\u8fd9\u65f6\u5149\u675f\u534a\u5f84\u6bd4\u6ce2\u957f\u7a0d\u5927\uff0c\u5149\u901f\u53d1\u6563\u89d2\u5f88\u5927\u3002\u6839\u636e\u4ee5\u4e0a\u65b9\u7a0b\uff0c\u573a\u7531\u5de6\u4fa7\u5411\u53f3\u4fa7\u79fb\u52a8\u3002&nbsp; \u5728\u4f20\u64ad\u65b9\u5411\u4e0a\u7684\u5149\u675f\u534a\u5f84\u53d8\u5316\u4e3a\uff1a&nbsp; \u5176\u4e2d\u745e\u5229\u957f\u5ea6\u4e3a\uff1a&nbsp; 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