{"id":1025,"date":"2025-06-29T23:13:12","date_gmt":"2025-06-29T15:13:12","guid":{"rendered":"https:\/\/tekdf.com\/?p=1025"},"modified":"2025-06-29T23:38:22","modified_gmt":"2025-06-29T15:38:22","slug":"phased-array-antenna-patterns-part2","status":"publish","type":"post","link":"https:\/\/tekdf.com\/index.php\/2025\/06\/29\/phased-array-antenna-patterns-part2\/","title":{"rendered":"\u76f8\u63a7\u9635\u5929\u7ebf\u6ce2\u675f\u56fe\u6837\uff08\u7b2c\u4e8c\u90e8\u5206\uff09\uff1a\u6805\u74e3\u4e0e\u6ce2\u675f\u504f\u9891"},"content":{"rendered":"\n
\n

Part 2: Grating Lobes and Beam Squint<\/p>\n<\/blockquote>\n\n\n\n

\u5f15\u8a00<\/h2>\n\n\n\n

\u8fd9\u662f\u6211\u4eec\u5173\u4e8e\u76f8\u63a7\u9635\u5929\u7ebf\u65b9\u5411\u56fe\u4e09\u90e8\u5206\u7cfb\u5217\u6587\u7ae0\u4e2d\u7684\u7b2c\u4e8c\u7bc7\u3002\u5728\u7b2c\u4e00\u90e8\u5206\u4e2d\uff0c\u6211\u4eec\u4ecb\u7ecd\u4e86\u76f8\u63a7\u9635\u7684\u6ce2\u675f\u6307\u5411\u6982\u5ff5\uff0c\u5e76\u63a2\u8ba8\u4e86\u5f71\u54cd\u9635\u5217\u589e\u76ca\u7684\u56e0\u7d20\u3002\u5728\u7b2c\u4e8c\u90e8\u5206\u4e2d\uff0c\u6211\u4eec\u5c06\u8ba8\u8bba\u6805\u74e3\uff08Grating Lobes\uff09\u548c\u6ce2\u675f\u504f\u9891\uff08Beam Squint\uff09<\/strong>\u3002<\/p>\n\n\n\n

\u6805\u74e3\u53ef\u80fd\u4e0d\u5bb9\u6613\u76f4\u89c2\u7406\u89e3\uff0c\u56e0\u6b64\u6211\u4eec\u5c06\u501f\u7528\u5176\u4e0e\u6570\u5b57\u8f6c\u6362\u5668\u4e2d\u4fe1\u53f7\u6df7\u53e0\uff08aliasing\uff09\u7684\u76f8\u4f3c\u6027\uff0c\u5e76\u636e\u6b64\u5c06\u6805\u74e3\u89c6\u4e3a\u4e00\u79cd\u7a7a\u95f4\u6df7\u53e0<\/strong>\u3002\u63a5\u7740\uff0c\u6211\u4eec\u5c06\u63a2\u8ba8\u6ce2\u675f\u504f\u9891\u95ee\u9898\u3002\u6ce2\u675f\u504f\u9891\u662f\u6307\u5f53\u6211\u4eec\u4f7f\u7528\u76f8\u4f4d\u79fb\u800c\u4e0d\u662f\u771f\u5b9e\u65f6\u95f4\u5ef6\u8fdf\u6765\u5b9e\u73b0\u6ce2\u675f\u6307\u5411\u65f6\uff0c\u5929\u7ebf\u65b9\u5411\u56fe\u5728\u9891\u7387\u8303\u56f4\u5185\u53d1\u751f\u7684\u201c\u5931\u7126\u201d\u73b0\u8c61\u3002<\/p>\n\n\n\n

\u6211\u4eec\u8fd8\u5c06\u8ba8\u8bba\u8fd9\u4e24\u79cd\u6ce2\u675f\u6307\u5411\u65b9\u5f0f\u4e4b\u95f4\u7684\u6743\u8861\uff0c\u5e76\u4e86\u89e3\u6ce2\u675f\u504f\u9891\u5bf9\u5178\u578b\u7cfb\u7edf\u6027\u80fd\u7684\u5f71\u54cd\u3002<\/p>\n\n\n\n

\u6805\u74e3\u7b80\u4ecb<\/h2>\n\n\n\n

\u5230\u76ee\u524d\u4e3a\u6b62\uff0c\u6211\u4eec\u53ea\u8ba8\u8bba\u4e86\u9635\u5143\u95f4\u8ddd\u4e3a d = \u03bb\/2 \u7684\u60c5\u51b5\u3002\u56fe 1 \u5f00\u59cb\u8bf4\u660e\u4e3a\u4ec0\u4e48 \u03bb\/2 \u7684\u9635\u5143\u95f4\u8ddd\u5728\u76f8\u63a7\u9635\u4e2d\u5982\u6b64\u5e38\u89c1\u3002<\/p>\n\n\n\n

\u56fe\u4e2d\u5c55\u793a\u4e86\u4e24\u79cd\u60c5\u51b5\u3002\u9996\u5148\u662f\u84dd\u8272\u66f2\u7ebf\uff0c\u91cd\u590d\u4e86\u7b2c\u4e00\u90e8\u5206\u56fe 11 \u4e2d\u7684 30\u00b0 \u6ce2\u675f\u56fe\u3002\u63a5\u7740\uff0c\u5c06 d\/\u03bb \u7684\u95f4\u8ddd\u589e\u52a0\u5230 0.7\uff0c\u4ee5\u5c55\u793a\u5929\u7ebf\u65b9\u5411\u56fe\u7684\u53d8\u5316\u3002<\/p>\n\n\n\n

\u968f\u7740\u95f4\u8ddd\u7684\u589e\u52a0\uff0c\u53ef\u4ee5\u770b\u5230\u6ce2\u675f\u5bbd\u5ea6\u51cf\u5c0f\uff0c\u8fd9\u662f\u4e00\u4e2a\u79ef\u6781\u7ed3\u679c\u3002\u6ce2\u675f\u96f6\u70b9\u4e4b\u95f4\u7684\u95f4\u8ddd\u51cf\u5c0f\uff0c\u4f7f\u5b83\u4eec\u66f4\u9760\u8fd1\uff0c\u8fd9\u4e5f\u662f\u53ef\u4ee5\u63a5\u53d7\u7684\u7ed3\u679c\u3002<\/p>\n\n\n\n

\u4f46\u73b0\u5728\u5728\u53e6\u4e00\u4e2a\u89d2\u5ea6\uff08\u6b64\u5904\u4e3a \u201370\u00b0\uff09\u51fa\u73b0\u4e86\u4e00\u4e2a\u5168\u9635\u5217\u589e\u76ca<\/strong>\u7684\u6b21\u6ce2\u675f\uff0c\u8fd9\u662f\u4e00\u4e2a\u975e\u5e38\u4e0d\u5229\u7684\u7ed3\u679c\u3002\u8fd9\u4e2a\u5929\u7ebf\u589e\u76ca\u7684\u201c\u526f\u672c\u201d\u88ab\u5b9a\u4e49\u4e3a\u6805\u74e3\uff08grating lobe\uff09<\/strong>\uff0c\u53ef\u4ee5\u89c6\u4e3a\u4e00\u79cd\u7a7a\u95f4\u6df7\u53e0\uff08spatial aliasing\uff09<\/strong>\u3002<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

\u56fe 1.<\/strong> \u4e00\u4e2a 32 \u9635\u5143\u7ebf\u6027\u9635\u5217\u5728\u4e24\u79cd\u4e0d\u540c d\/\u03bb \u95f4\u8ddd\u4e0b\u7684\u5f52\u4e00\u5316\u9635\u5217\u56e0\u5b50\u3002<\/p>\n\n\n\n

\u4e0e\u91c7\u6837\u7cfb\u7edf\u7684\u7c7b\u6bd4<\/h2>\n\n\n\n

\u4e3a\u4e86\u66f4\u76f4\u89c2\u5730\u7406\u89e3\u6805\u74e3\uff0c\u53ef\u4ee5\u5c06\u5176\u7c7b\u6bd4\u4e3a\u91c7\u6837\u7cfb\u7edf\u4e2d\u7684\u6df7\u53e0\u73b0\u8c61\u3002\u5728\u6a21\u6570\u8f6c\u6362\u5668\uff08ADC\uff09\u4e2d\uff0c\u6b20\u91c7\u6837\u5e38\u7528\u4e8e\u63a5\u6536\u673a\u67b6\u6784\u7684\u9891\u7387\u89c4\u5212\u4e2d\u3002\u6b20\u91c7\u6837\u662f\u6307\u6709\u610f\u964d\u4f4e\u91c7\u6837\u7387 fS<\/sub>\uff0c\u4f7f\u5f97\u91c7\u6837\u8fc7\u7a0b\u5c06\u9ad8\u4e8efS<\/sub>\/2 \u7684\u9891\u7387\uff08\u5373\u9ad8\u5948\u594e\u65af\u7279\u5e26\uff09\u8f6c\u6362\u4e3a\u51fa\u73b0\u5728\u7b2c\u4e00\u4e2a\u5948\u594e\u65af\u7279\u5e26\u4e2d\u7684\u6df7\u53e0\u4fe1\u53f7\u3002\u8fd9\u5c06\u5bfc\u81f4\u9ad8\u9891\u4fe1\u53f7\u5728 ADC \u8f93\u51fa\u4e2d\u8868\u73b0\u4e3a\u8f83\u4f4e\u9891\u7387\u7684\u4fe1\u53f7\u3002<\/p>\n\n\n\n

\u5728\u76f8\u63a7\u9635\u4e2d\u4e5f\u5b58\u5728\u7c7b\u4f3c\u7684\u7c7b\u6bd4\u5173\u7cfb\uff0c\u5176\u4e2d\u5929\u7ebf\u9635\u5143\u5bf9\u6ce2\u524d\u8fdb\u884c\u7a7a\u95f4\u91c7\u6837\u3002\u5982\u679c\u6211\u4eec\u8ba4\u4e3a\u6bcf\u4e2a\u6ce2\u957f\u9700\u8981\u4e24\u4e2a\u91c7\u6837\u70b9\uff08\u5373\u4e24\u4e2a\u9635\u5143\uff09\u624d\u80fd\u907f\u514d\u6df7\u53e0\uff0c\u90a3\u4e48\u5948\u594e\u65af\u7279\u91c7\u6837\u5b9a\u7406\u5c31\u53ef\u4ee5\u63a8\u5e7f\u5230\u7a7a\u95f4\u57df\u3002<\/p>\n\n\n\n

\u56e0\u6b64\uff0c\u5982\u679c\u9635\u5143\u95f4\u8ddd\u5927\u4e8e\u00a0\u03bb\/2 \uff0c\u5c31\u53ef\u4ee5\u5c06\u8fd9\u79cd\u73b0\u8c61\u89c6\u4e3a\u7a7a\u95f4\u6df7\u53e0\uff08spatial aliasing\uff09<\/strong>\u3002<\/p>\n\n\n\n

\u6805\u74e3\u51fa\u73b0\u7684\u4f4d\u7f6e\u5982\u4f55\u8ba1\u7b97<\/h2>\n\n\n\n

\u90a3\u4e48\uff0c\u8fd9\u4e9b\u7a7a\u95f4\u6df7\u53e0<\/strong>\uff08\u5373\u6805\u74e3\uff09\u4f1a\u51fa\u73b0\u5728\u4ec0\u4e48\u4f4d\u7f6e\u5462\uff1f\u5728\u7b2c\u4e00\u90e8\u5206\u4e2d\uff0c\u6211\u4eec\u5c55\u793a\u4e86\u8de8\u9635\u5217\u65bd\u52a0\u76f8\u4f4d\u79fb\u4e0e\u6ce2\u675f\u89d2\u4e4b\u95f4\u7684\u5173\u7cfb\u3002<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

\u53cd\u8fc7\u6765\uff0c\u6211\u4eec\u4e5f\u53ef\u4ee5\u5c06\u6ce2\u675f\u89d2\u8868\u793a\u4e3a\u76f8\u4f4d\u79fb\u7684\u51fd\u6570\uff1a<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

arcsin \u51fd\u6570\u4ec5\u5728\u5176\u81ea\u53d8\u91cf\u4ecb\u4e8e \u20131 \u5230 +1 \u4e4b\u95f4\u65f6\u624d\u4f1a\u4ea7\u751f\u5b9e\u6570\u89e3\u3002\u8d85\u51fa\u8fd9\u4e2a\u8303\u56f4\uff0c\u89e3\u5c06\u4e0d\u662f\u5b9e\u6570\u2014\u2014\u8fd9\u5728\u7535\u5b50\u8868\u683c\u8f6f\u4ef6\u4e2d\u8868\u73b0\u4e3a\u5e38\u89c1\u7684 \u201c#NUM!\u201d \u9519\u8bef\u3002<\/p>\n\n\n\n

\u8fd8\u9700\u6ce8\u610f\uff0c\u516c\u5f0f\uff082\uff09\u4e2d\u7684\u76f8\u4f4d\u5177\u6709\u5468\u671f\u6027\uff0c\u6bcf\u9694 2\u03c0 \u91cd\u590d\u4e00\u6b21\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u53ef\u4ee5\u5c06\u2206\u03a6 \u66ff\u6362\u4e3a\u00a0(m \u00d7 2\u03c0 + \u2206\u03a6)\u00a0\uff0c\u4ece\u800c\u5f97\u5230\u6ce2\u675f\u6307\u5411\u7684\u6269\u5c55\u8868\u8fbe\u5f0f\uff1a<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

\u5176\u4e2d m=0,\u00b11,\u00b12,\u2026m = 0, \u00b11, \u00b12, \u2026<\/p>\n\n\n\n

\u4e3a\u4e86\u907f\u514d\u6805\u74e3<\/strong>\uff0c\u6211\u4eec\u7684\u76ee\u6807\u662f\u4ec5\u83b7\u5f97\u4e00\u4e2a\u5b9e\u6570\u89e3<\/strong>\u3002\u5728\u6570\u5b66\u4e0a\uff0c\u8fd9\u53ef\u4ee5\u901a\u8fc7\u4fdd\u6301\u4ee5\u4e0b\u6761\u4ef6\u6765\u5b9e\u73b0\uff1a<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

\u5982\u679c\u6ee1\u8db3\u8fd9\u4e00\u6761\u4ef6\uff0c\u90a3\u4e48\u6240\u6709\u7a7a\u95f4\u955c\u50cf\u9879\uff08\u5373 m=\u00b11,\u00b12,m = \u00b11, \u00b12, \u7b49\uff09\u5c06\u5bfc\u81f4 arcsin \u65e0\u5b9e\u6570\u89e3\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u5ffd\u7565\u5b83\u4eec\u3002<\/p>\n\n\n\n

\u4f46\u5982\u679c\u65e0\u6cd5\u6ee1\u8db3\u8fd9\u4e00\u6761\u4ef6\uff0c\u4ece\u800c\u4f7f\u67d0\u4e9b m>0 \u7684\u503c\u5bfc\u81f4 arcsin \u4ea7\u751f\u5b9e\u6570\u89e3\uff0c\u5219\u4f1a\u51fa\u73b0\u591a\u4e2a\u89e3<\/strong>\uff1a\u5373\u6805\u74e3\u3002<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

\u56fe 2. \u5c06 arcsin \u51fd\u6570\u5e94\u7528\u4e8e\u6805\u74e3\u7684\u8ba1\u7b97\u3002<\/strong><\/p>\n\n\n\n

\u5f53 d > \u03bb \u4e14 \u03b8 = 0\u00b0 \u65f6\u7684\u6805\u74e3<\/h2>\n\n\n\n

\u8ba9\u6211\u4eec\u901a\u8fc7\u4e00\u4e9b\u793a\u4f8b\u6765\u66f4\u6e05\u695a\u5730\u8bf4\u660e\u8fd9\u4e00\u70b9\u3002\u9996\u5148\uff0c\u8003\u8651\u673a\u68b0\u6ce2\u675f\u96f6\u5411\u7684\u60c5\u51b5\uff0c\u5373 \u03b8 = 0\uff0c\u56e0\u6b64 \u2206\u03a6 = 0\u3002\u90a3\u4e48\uff0c\u516c\u5f0f\uff083\uff09\u53ef\u7b80\u5316\u4e3a\uff1a<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

\u6839\u636e\u8fd9\u4e2a\u7b80\u5316\u516c\u5f0f\uff0c\u5982\u679c \u03bb\/d > 1\uff0c\u5219\u53ea\u6709\u5f53 m = 0 \u65f6\uff0c\u81ea\u53d8\u91cf\u624d\u4f1a\u843d\u5728 \u20131 \u5230 +1 \u7684\u8303\u56f4\u5185\u3002\u800c\u6b64\u65f6\u81ea\u53d8\u91cf\u4e3a 0\uff0carcsin(0) = 0\u00b0\uff0c\u5373\u673a\u68b0\u6ce2\u675f\u96f6\u5411\u89d2\u3002\u8fd9\u4e00\u7ed3\u679c\u5b8c\u5168\u7b26\u5408\u9884\u671f\u3002<\/p>\n\n\n\n

\u6b64\u5916\uff0c\u5bf9\u4e8e\u4efb\u610f m \u2265 1\uff0carcsin \u7684\u81ea\u53d8\u91cf\u5c06\u5927\u4e8e 1\uff0c\u4ece\u800c\u65e0\u5b9e\u6570\u89e3\u3002\u56e0\u6b64\uff0c\u5f53 \u03b8 = 0 \u4e14 d < \u03bb \u65f6\uff0c\u5c06\u4e0d\u4f1a\u51fa\u73b0\u6805\u74e3<\/strong>\uff01<\/p>\n\n\n\n

\u7136\u800c\uff0c\u5982\u679c d > \u03bb\uff08\u5373 \u03bb\/d < 1\uff09\uff0c\u5219\u53ef\u80fd\u5b58\u5728\u591a\u4e2a\u89e3\uff0c\u4e5f\u5c31\u53ef\u80fd\u51fa\u73b0\u6805\u74e3<\/strong>\u3002\u4f8b\u5982\uff0c\u5f53 \u03bb\/d = 0.66\uff08\u5373 d = 1.5\u03bb\uff09\u65f6\uff0carcsin \u51fd\u6570\u5c06\u5728 m = 0 \u548c m = \u00b11 \u65f6\u6709\u5b9e\u6570\u89e3\u3002<\/p>\n\n\n\n

\u5176\u4e2d\uff0cm = \u00b11 \u8868\u793a\u7b2c\u4e8c\u4e2a\u89e3\uff0c\u5373\u671f\u671b\u4fe1\u53f7\u7684\u7a7a\u95f4\u6df7\u53e0\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u9884\u671f\u5c06\u770b\u5230\u4e09\u4e2a\u4e3b\u74e3\uff0c\u4e14\u5e45\u5ea6\u5927\u81f4\u76f8\u7b49\uff0c\u5206\u522b\u4f4d\u4e8e\uff1a<\/p>\n\n\n\n

    \n
  • arcsin(0 \u00d7 0.66)<\/li>\n\n\n\n
  • arcsin(1 \u00d7 0.66)<\/li>\n\n\n\n
  • arcsin(\u20131 \u00d7 0.66)<\/li>\n<\/ul>\n\n\n\n

    \u6362\u7b97\u6210\u89d2\u5ea6\u5206\u522b\u662f 0\u00b0 \u548c \u00b141.3\u00b0\u3002<\/p>\n\n\n\n

    \u4e8b\u5b9e\u4e0a\uff0c\u56fe 3 \u4e2d\u7684\u9635\u5217\u56e0\u5b50\u56fe\u6b63\u597d\u5c55\u793a\u4e86\u8fd9\u4e00\u7ed3\u679c\u3002<\/p>\n\n\n\n

    \"\"<\/figure>\n\n\n\n

    \u56fe 3. \u9635\u5217\u56e0\u5b50\u5728\u6ce2\u675f\u96f6\u5411\u4e0b\u7684\u5206\u5e03\uff08d\/\u03bb = 1.5\uff0cN = 8\uff09<\/strong><\/p>\n\n\n\n

    \u5f53 \u03bb\/2 < d < \u03bb \u65f6\u7684\u6805\u74e3<\/h2>\n\n\n\n

    \u5728\u7b80\u5316\u6805\u74e3\u516c\u5f0f\uff08\u516c\u5f0f 5\uff09\u65f6\uff0c\u6211\u4eec\u9009\u62e9\u53ea\u5173\u6ce8\u673a\u68b0\u6ce2\u675f\u96f6\u5411\uff08\u2206\u03a6 = 0\uff09\u7684\u60c5\u51b5\u3002\u6211\u4eec\u5df2\u7ecf\u770b\u5230\uff0c\u5728\u673a\u68b0\u6ce2\u675f\u96f6\u5411\uff0c\u82e5 d < \u03bb\uff0c\u5219\u4e0d\u4f1a\u51fa\u73b0\u6805\u74e3\u3002\u4f46\u6839\u636e\u91c7\u6837\u7406\u8bba\u7684\u7c7b\u6bd4\uff0c\u6211\u4eec\u4e5f\u77e5\u9053\uff0c\u53ea\u8981\u9635\u5143\u95f4\u8ddd\u5927\u4e8e \u03bb\/2\uff0c\u5c31\u6709\u53ef\u80fd\u51fa\u73b0\u67d0\u79cd\u5f62\u5f0f\u7684\u6805\u74e3<\/strong>\u3002\u90a3\u4e48\uff0c\u5f53 \u03bb\/2 < d < \u03bb \u65f6\uff0c\u6805\u74e3\u4f1a\u51fa\u73b0\u5728\u4ec0\u4e48\u4f4d\u7f6e\uff1f<\/p>\n\n\n\n

    \u9996\u5148\uff0c\u56de\u5fc6\u7b2c\u4e00\u90e8\u5206\u56fe 4 \u4e2d\uff0c\u76f8\u4f4d\u4e0e\u6ce2\u675f\u6307\u5411\u89d2\u4e4b\u95f4\u7684\u53d8\u5316\u5173\u7cfb<\/strong>\u3002\u6211\u4eec\u770b\u5230\u5f53\u4e3b\u74e3\u504f\u79bb\u673a\u68b0\u6ce2\u675f\u96f6\u5411\u65f6\uff0c\u2206\u03a6 \u7684\u8303\u56f4\u4e3a\uff1a<\/p>\n\n\n\n

    \u2206\u03a6 \u4ece 0 \u5230 \u00b1\u03c0<\/strong><\/p>\n\n\n\n

    \u56e0\u6b64\uff0c<\/p>\n\n\n\n

    \"\"<\/figure>\n\n\n\n

    \u7684\u8303\u56f4\u662f\uff1a<\/p>\n\n\n\n

    \"\"<\/figure>\n\n\n\n

    \u800c\u5bf9\u4e8e |m| \u2265 1\uff0c\u5176\u7ed3\u679c\u603b\u662f\u5927\u4e8e\uff1a<\/p>\n\n\n\n

    \"\"<\/figure>\n\n\n\n

    \u5982\u679c\u6211\u4eec\u5e0c\u671b\u5bf9\u6240\u6709 |m| \u2265 1 \u7684\u60c5\u5f62\u4e0b\uff0carcsin \u51fd\u6570\u7684\u81ea\u53d8\u91cf\u59cb\u7ec8\u5927\u4e8e 1\uff0c\u4ece\u800c\u65e0\u5b9e\u6570\u89e3\uff0c\u5219\u8fd9\u5c06\u9650\u5236 \u03bb\/d \u7684\u6700\u5c0f\u5141\u8bb8\u503c<\/strong>\u3002<\/p>\n\n\n\n

    \u8003\u8651\u4ee5\u4e0b\u4e24\u79cd\u60c5\u51b5\uff1a<\/p>\n\n\n\n

      \n
    • \u5982\u679c \u03bb\/d \u2265 2\uff08\u5373 d \u2264 \u03bb\/2\uff09\uff0c\u5219\u65e0\u8bba m \u53d6\u4f55\u503c\uff0c\u90fd\u4e0d\u4f1a\u6709\u591a\u4e2a\u89e3\u3002\u6240\u6709 m > 0 \u7684\u60c5\u5f62\u90fd\u4f1a\u5bfc\u81f4 arcsin \u81ea\u53d8\u91cf\u5927\u4e8e 1\u3002\u8fd9\u662f\u552f\u4e00\u80fd\u907f\u514d\u5728\u53ef\u89c1\u5929\u533a\u51fa\u73b0\u6805\u74e3<\/strong>\u7684\u65b9\u6cd5\u3002<\/li>\n\n\n\n
    • \u4f46\u5982\u679c\u6211\u4eec\u6709\u610f\u5c06 \u2206\u03a6 \u9650\u5236\u5728\u5c0f\u4e8e \u00b1\u03c0 \u7684\u8303\u56f4\u5185<\/strong>\uff0c\u90a3\u4e48\u5373\u4f7f \u03bb\/d \u8f83\u5c0f\uff0c\u4e5f\u4ecd\u53ef\u80fd\u907f\u514d\u6805\u74e3\u7684\u51fa\u73b0\u3002\u7f29\u5c0f \u2206\u03a6 \u7684\u8303\u56f4\u610f\u5473\u7740\u9650\u5236\u9635\u5217\u7684\u6700\u5927\u6ce2\u675f\u626b\u63cf\u89d2\u5ea6<\/strong>\u3002\u8fd9\u662f\u4e00\u4e2a\u6709\u8da3\u7684\u6743\u8861\u95ee\u9898\uff0c\u6211\u4eec\u5c06\u5728\u4e0b\u4e00\u8282\u4e2d\u8fdb\u4e00\u6b65\u63a2\u8ba8\u3002<\/li>\n<\/ul>\n\n\n\n

      \u9635\u5143\u95f4\u8ddd\u7684\u8003\u8651<\/h2>\n\n\n\n

      \u9635\u5143\u95f4\u8ddd\u662f\u5426\u5e94\u59cb\u7ec8\u5c0f\u4e8e \u03bb\/2\uff1f\u5e76\u4e0d\u4e00\u5b9a\uff01\u8fd9\u5b9e\u9645\u4e0a\u662f\u5929\u7ebf\u8bbe\u8ba1\u4eba\u5458\u9700\u8981\u6743\u8861\u7684\u56e0\u7d20\u4e4b\u4e00\u3002<\/p>\n\n\n\n

      \u5982\u679c\u6ce2\u675f\u9700\u8981\u5b8c\u5168\u626b\u63cf\u81f3\u5730\u5e73\u7ebf\u65b9\u5411\uff0c\u90a3\u4e48 \u03b8 = \u00b190\u00b0\uff0c\u6b64\u65f6\u82e5\u4e0d\u5141\u8bb8\u5728\u53ef\u89c1\u534a\u7403\u5185\u51fa\u73b0\u6805\u74e3\uff0c\u5219\u9635\u5143\u95f4\u8ddd\u5fc5\u987b\u4e3a \u03bb\/2\u3002\u4f46\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u6700\u5927\u53ef\u5b9e\u73b0\u7684\u626b\u63cf\u89d2<\/strong>\u603b\u662f\u5c0f\u4e8e 90\u00b0\uff0c\u8fd9\u662f\u7531\u4e8e\u5355\u5143\u56e0\u5b50\u548c\u5176\u4ed6\u5728\u5927\u626b\u63cf\u89d2\u4e0b\u5f15\u8d77\u7684\u6027\u80fd\u52a3\u5316<\/strong>\u6240\u5bfc\u81f4\u7684\u3002<\/p>\n\n\n\n

      \u4ece\u56fe 2 \u4e2d\u7684 arcsin \u51fd\u6570\u56fe\u53ef\u4ee5\u770b\u51fa\uff0c\u5982\u679c y \u8f74\uff08\u5373\u626b\u63cf\u89d2 \u03b8\uff09\u88ab\u9650\u5236\u5728\u4e00\u4e2a\u8f83\u5c0f\u7684\u8303\u56f4\u5185\uff0c\u90a3\u4e48\u6805\u74e3\u53ea\u4f1a\u51fa\u73b0\u5728\u539f\u672c\u4e0d\u4f1a\u4f7f\u7528\u7684\u626b\u63cf\u89d2\u5ea6<\/strong>\u3002\u5bf9\u4e8e\u7ed9\u5b9a\u7684\u6700\u5927\u9635\u5143\u95f4\u8ddd dmax<\/sub> \uff0c\u8fd9\u4e2a\u9650\u5236\u7684\u6700\u5927\u626b\u63cf\u89d2 \u03b8max<\/sub> \u4f1a\u662f\u591a\u5c11\uff1f\u6211\u4eec\u4e4b\u524d\u63d0\u5230\u8fc7\uff0c\u6211\u4eec\u7684\u76ee\u6807\u662f\u4fdd\u6301\uff1a<\/p>\n\n\n\n

      \"\"<\/figure>\n\n\n\n

      \u6211\u4eec\u53ef\u4ee5\u5229\u7528\u8fd9\u4e00\u70b9\u6765\u8ba1\u7b97\u6805\u74e3\uff08m = \u00b11\uff09\u9996\u6b21\u51fa\u73b0\u7684\u4f4d\u7f6e\u3002\u5c06\u8be5\u6761\u4ef6\u4ee3\u5165\uff0c\u5e76\u4f7f\u7528\u7b2c\u4e00\u90e8\u5206\u4e2d\u516c\u5f0f\uff081\uff09\u5bf9 \u2206\u03a6 \u7684\u5b9a\u4e49\uff0c\u5f97\u5230\uff1a<\/p>\n\n\n\n

      \"\"<\/figure>\n\n\n\n

      \u7b80\u5316\u4e3a\uff1a<\/p>\n\n\n\n

      \"\"<\/figure>\n\n\n\n

      \u7136\u540e\u6c42\u89e3 dmax<\/sub> \u5f97\u5230\uff1a<\/p>\n\n\n\n

      \"\"<\/figure>\n\n\n\n

      \u8be5\u00a0dmax<\/sub>\u00a0 \u662f\u5728\u9650\u5236\u6700\u5927\u626b\u63cf\u89d2 <\/strong>\u03b8max<\/sub> \u7684\u6761\u4ef6\u4e0b\u4e0d\u51fa\u73b0\u6805\u74e3\u7684\u6700\u5927\u5141\u8bb8\u9635\u5143\u95f4\u8ddd\uff08\u5176\u4e2d\u03b8max<\/sub> <\u03c0\/2\u00a0\uff09\u3002<\/p>\n\n\n\n

      \u4f8b\u5982\uff0c\u82e5\u4fe1\u53f7\u9891\u7387\u4e3a 10\u202fGHz\uff0c\u4e14\u5e0c\u671b\u5728 \u00b150\u00b0 \u626b\u63cf\u8303\u56f4\u5185\u4e0d\u51fa\u73b0\u6805\u74e3\uff0c\u5219\u6700\u5927\u9635\u5143\u95f4\u8ddd\u4e3a\uff1a<\/p>\n\n\n\n

      \"\"<\/figure>\n\n\n\n
      \"\"<\/figure>\n\n\n\n

      \u56fe 4.<\/strong> \u5f53 \u03b8 = 50\u00b0\uff0cN = 32\uff0cd = 17\u202fmm\uff0cf = 10\u202fGHz \u65f6\uff0c\u5728\u5730\u5e73\u7ebf\u9644\u8fd1\u5f00\u59cb\u51fa\u73b0\u6805\u74e3\u3002<\/p>\n\n\n\n

      \u56e0\u6b64\uff0c\u9650\u5236\u6700\u5927\u626b\u63cf\u89d2<\/strong>\u5c06\u5e26\u6765\u5982\u4e0b\u81ea\u7531\u5ea6\uff1a\u53ef\u4ee5\u589e\u52a0\u9635\u5143\u95f4\u8ddd\uff0c\u4ece\u800c\u5728\u6bcf\u901a\u9053\u7269\u7406\u5c3a\u5bf8\u4e0d\u53d8\u7684\u60c5\u51b5\u4e0b\u6269\u5c55\u5b54\u5f84\u3002\u4f8b\u5982\uff0c\u5bf9\u4e8e\u5929\u7ebf\u6ce2\u675f\u59cb\u7ec8\u6307\u5411\u4e00\u4e2a\u8f83\u7a84\u9884\u5b9a\u4e49\u65b9\u5411\u7684\u5e94\u7528\u573a\u666f\uff0c\u53ef\u4ee5\u589e\u52a0\u5355\u5143\u589e\u76ca\u4ee5\u589e\u5f3a\u8be5\u65b9\u5411\u7684\u65b9\u5411\u6027\uff0c\u540c\u65f6\u4e5f\u53ef\u4ee5\u589e\u52a0\u9635\u5143\u95f4\u8ddd\u4ee5\u6269\u5927\u9635\u5217\u5b54\u5f84\u3002\u4e24\u8005\u90fd\u80fd\u5728\u7a84\u6ce2\u675f\u89d2\u5185<\/strong>\u5b9e\u73b0\u66f4\u5927\u7684\u6574\u4f53\u5929\u7ebf\u589e\u76ca\u3002<\/p>\n\n\n\n

      \u9700\u6ce8\u610f\uff0c\u5373\u4f7f\u5728\u96f6\u626b\u63cf\u89d2\u4e0b<\/strong>\uff0c\u516c\u5f0f\uff083\uff09\u4e5f\u6307\u51fa\u6700\u5927\u9635\u5143\u95f4\u8ddd\u4e3a\u4e00\u4e2a\u6ce2\u957f<\/strong>\uff0c\u524d\u63d0\u662f\u53ef\u89c1\u534a\u7403\u5185\u4e0d\u5141\u8bb8\u51fa\u73b0\u6805\u74e3\u3002\u4f8b\u5982\u5728 GEO \u536b\u661f\u7684\u573a\u666f\u4e2d\uff0c\u6574\u4e2a\u5730\u7403\u7684\u8986\u76d6\u89d2\u5ea6\u4ec5\u4e3a\u4ece\u673a\u68b0\u6ce2\u675f\u96f6\u5411\u504f\u79bb 9\u00b0\u3002\u6b64\u7c7b\u60c5\u51b5\u4e0b\uff0c\u53ea\u8981\u6805\u74e3\u4e0d\u843d\u5728\u5730\u7403\u8868\u9762\u4e0a\uff0c\u5373\u53ef\u63a5\u53d7\u5176\u5b58\u5728\u3002\u8fd9\u65f6\uff0c\u9635\u5143\u95f4\u8ddd\u751a\u81f3\u53ef\u4ee5\u4e3a\u591a\u4e2a\u6ce2\u957f\uff0c\u4ece\u800c\u83b7\u5f97\u66f4\u7a84\u7684\u6ce2\u675f\u5bbd\u5ea6\u3002<\/p>\n\n\n\n

      \u6b64\u5916\uff0c\u8fd8\u6709\u4e00\u4e9b\u503c\u5f97\u6ce8\u610f\u7684\u5929\u7ebf\u7ed3\u6784\u8bd5\u56fe\u901a\u8fc7\u975e\u5747\u5300\u9635\u5143\u95f4\u8ddd<\/strong>\u6765\u89c4\u907f\u6805\u74e3\u95ee\u9898\uff0c\u8fd9\u7c7b\u7ed3\u6784\u88ab\u5f52\u7c7b\u4e3a\u975e\u5468\u671f\u9635\u5217\uff08aperiodic arrays\uff09<\/strong>\uff0c\u4f8b\u5982\u87ba\u65cb\u9635\u5217\uff08spiral arrays\uff09\u5c31\u662f\u5176\u4e2d\u4e00\u79cd\u3002\u51fa\u4e8e\u673a\u68b0\u5929\u7ebf\u7ed3\u6784\u6784\u5efa\u7684\u8003\u8651\uff0c\u53ef\u80fd\u5e0c\u671b\u4f7f\u7528\u53ef\u6269\u5c55\u7684\u901a\u7528\u6784\u4ef6\u6a21\u5757\u6765\u6784\u5efa\u5927\u89c4\u6a21\u9635\u5217\uff0c\u4f46\u8fd9\u5c06\u5f62\u6210\u5747\u5300\u9635\u5217<\/strong>\uff0c\u4ece\u800c\u53d7\u5230\u672c\u6587\u6240\u63cf\u8ff0\u7684\u6805\u74e3\u6761\u4ef6\u9650\u5236\u3002<\/p>\n\n\n\n

      \u6ce2\u675f\u504f\u9891\uff08Beam Squint\uff09<\/h2>\n\n\n\n

      \u5728\u7b2c\u4e00\u90e8\u5206\u7684\u5f00\u5934\uff0c\u6211\u4eec\u63cf\u8ff0\u4e86\u5f53\u6ce2\u524d\u4ee5\u76f8\u5bf9\u4e8e\u6ce2\u675f\u96f6\u5411\u7684\u89d2\u5ea6 \u03b8 \u5165\u5c04\u5230\u9635\u5217\u4e0a\u65f6\uff0c\u9635\u5143\u4e4b\u95f4\u4f1a\u51fa\u73b0\u65f6\u95f4\u5ef6\u8fdf\u3002\u5bf9\u4e8e\u5355\u4e00\u9891\u7387\u7684\u60c5\u51b5\uff0c\u6ce2\u675f\u6307\u5411\u53ef\u4ee5\u901a\u8fc7\u5c06\u65f6\u95f4\u5ef6\u8fdf\u66ff\u6362\u4e3a\u76f8\u4f4d\u79fb<\/strong>\u6765\u5b9e\u73b0\u3002\u8fd9\u79cd\u65b9\u6cd5\u9002\u7528\u4e8e\u7a84\u5e26\u6ce2\u5f62<\/strong>\uff0c\u4f46\u5bf9\u4e8e\u5bbd\u5e26\u6ce2\u5f62<\/strong>\uff0c\u5982\u679c\u6ce2\u675f\u6307\u5411\u662f\u901a\u8fc7\u76f8\u4f4d\u79fb\u5b9e\u73b0\u7684\uff0c\u90a3\u4e48\u6ce2\u675f\u65b9\u5411\u5c06\u968f\u7740\u9891\u7387\u53d1\u751f\u53d8\u5316\u3002<\/p>\n\n\n\n

      \u8fd9\u53ef\u4ee5\u901a\u8fc7\u76f4\u89c2\u65b9\u5f0f\u89e3\u91ca\uff1a\u65f6\u95f4\u5ef6\u8fdf\u5bf9\u5e94\u4e8e\u76f8\u5bf9\u4e8e\u9891\u7387\u7684\u7ebf\u6027\u76f8\u4f4d\u53d8\u5316<\/strong>\u3002\u56e0\u6b64\uff0c\u5bf9\u4e8e\u7ed9\u5b9a\u7684\u6ce2\u675f\u65b9\u5411\uff0c\u6240\u9700\u7684\u76f8\u4f4d\u79fb\u4f1a\u968f\u7740\u9891\u7387\u7684\u53d8\u5316\u800c\u6539\u53d8\u3002\u6216\u8005\u53cd\u8fc7\u6765\u8bf4\uff0c\u5bf9\u4e8e\u4e00\u4e2a\u56fa\u5b9a\u7684\u76f8\u4f4d\u79fb\uff0c\u6ce2\u675f\u65b9\u5411\u4f1a\u968f\u7740\u9891\u7387\u800c\u53d8\u5316\u3002<\/p>\n\n\n\n

      \u8fd9\u79cd\u6ce2\u675f\u65b9\u5411\u968f\u9891\u7387\u53d8\u5316<\/strong>\u7684\u73b0\u8c61\u88ab\u79f0\u4e3a\u6ce2\u675f\u504f\u9891\uff08beam squint\uff09<\/strong>\u3002<\/p>\n\n\n\n

      \u8fd8\u9700\u8003\u8651\u7684\u662f\uff0c\u5728\u6ce2\u675f\u96f6\u5411\uff08\u03b8 = 0\uff09\u65f6\uff0c\u9635\u5217\u4e2d\u6ca1\u6709\u4efb\u4f55\u76f8\u4f4d\u5dee\uff0c\u56e0\u6b64\u4e5f\u5c31\u4e0d\u4f1a\u4ea7\u751f\u6ce2\u675f\u504f\u9891\u3002\u56e0\u6b64\uff0c\u6ce2\u675f\u504f\u9891\u7684\u5927\u5c0f\u5fc5\u987b\u662f\u89d2\u5ea6 \u03b8<\/strong>\u4e0e\u9891\u7387\u53d8\u5316<\/strong>\u7684\u51fd\u6570\u3002<\/p>\n\n\n\n

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      \"\"<\/figure>\n\n\n\n

      \u56fe 5. X \u6ce2\u6bb5\u4e2d\uff0c32 \u9635\u5143\u7ebf\u6027\u9635\u5217\uff08\u9635\u5143\u95f4\u8ddd\u4e3a \u03bb\/2\uff09\u4e0b\u7684\u6ce2\u675f\u504f\u9891\u793a\u4f8b\u3002<\/strong><\/p>\n\n\n\n

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      \"\"<\/figure>\n\n\n\n

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      \"\"<\/figure>\n\n\n\n

      \u56fe 6. \u4e0d\u540c\u9891\u7387\u504f\u79fb\u4e0b\uff0c\u6ce2\u675f\u504f\u9891\u968f\u6ce2\u675f\u89d2\u7684\u53d8\u5316\u5173\u7cfb\u3002<\/strong><\/p>\n\n\n\n

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        \n
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        \u603b\u7ed3<\/h2>\n\n\n\n

        \u672c\u6587\u662f\u5173\u4e8e\u76f8\u63a7\u9635\u5929\u7ebf\u65b9\u5411\u56fe\u4e09\u90e8\u5206\u7cfb\u5217\u7684\u7b2c\u4e8c\u90e8\u5206\u3002\u5728\u7b2c\u4e00\u90e8\u5206\u4e2d\uff0c\u6211\u4eec\u4ecb\u7ecd\u4e86\u6ce2\u675f\u6307\u5411\u4e0e\u9635\u5217\u56e0\u5b50\u7684\u57fa\u672c\u6982\u5ff5\uff1b\u5728\u7b2c\u4e8c\u90e8\u5206\u4e2d\uff0c\u6211\u4eec\u8bb2\u89e3\u4e86\u6805\u74e3<\/strong>\u4e0e\u6ce2\u675f\u504f\u9891<\/strong>\u8fd9\u4e24\u79cd\u975e\u7406\u60f3\u7279\u6027\u3002<\/p>\n\n\n\n

        \u5728\u7b2c\u4e09\u90e8\u5206\u4e2d\uff0c\u6211\u4eec\u5c06\u8ba8\u8bba\u5982\u4f55\u901a\u8fc7\u52a0\u6743\uff08tapering\uff09\u6765\u964d\u4f4e\u65c1\u74e3\uff0c\u5e76\u8fdb\u4e00\u6b65\u8bf4\u660e\u76f8\u79fb\u5668\u91cf\u5316\u8bef\u5dee<\/strong>\u6240\u5e26\u6765\u7684\u5f71\u54cd\u3002<\/p>\n\n\n\n

        \u53c2\u8003\u6587\u732e<\/h2>\n\n\n\n
          \n
        • Balanis, Constantine A. Antenna Theory: Analysis and Design<\/em>, \u7b2c\u4e09\u7248\uff0cWiley-Interscience\uff0c2005\u3002<\/li>\n\n\n\n
        • Longbrake, Matthew. True Time Delay Beamsteering for Radar<\/em>. 2012 IEEE National Aerospace and Electronics Conference (NAECON)\uff0cIEEE\uff0c2012\u3002<\/li>\n\n\n\n
        • Mailloux, Robert J. Phased Array Antenna Handbook<\/em>, \u7b2c\u4e8c\u7248\uff0cArtech House\uff0c2005\u3002<\/li>\n\n\n\n
        • O\u2019Donnell, Robert M. \u201cRadar Systems Engineering: Introduction<\/em>.\u201d IEEE\uff0c2012 \u5e74 6 \u6708\u3002<\/li>\n\n\n\n
        • Skolnik, Merrill. Radar Handbook<\/em>, \u7b2c\u4e09\u7248\uff0cMcGraw Hill\uff0c2008\u3002<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"

          Part 2: Grating Lobes and Beam Squint \u5f15\u8a00 \u8fd9\u662f\u6211\u4eec\u5173\u4e8e\u76f8\u63a7\u9635\u5929\u7ebf\u65b9\u5411\u56fe […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[17],"tags":[43,22],"class_list":["post-1025","post","type-post","status-publish","format-standard","hentry","category-17","tag-cn0566","tag-eval-cn0566-rpiz"],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/tekdf.com\/index.php\/wp-json\/wp\/v2\/posts\/1025","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/tekdf.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/tekdf.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/tekdf.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/tekdf.com\/index.php\/wp-json\/wp\/v2\/comments?post=1025"}],"version-history":[{"count":2,"href":"https:\/\/tekdf.com\/index.php\/wp-json\/wp\/v2\/posts\/1025\/revisions"}],"predecessor-version":[{"id":1048,"href":"https:\/\/tekdf.com\/index.php\/wp-json\/wp\/v2\/posts\/1025\/revisions\/1048"}],"wp:attachment":[{"href":"https:\/\/tekdf.com\/index.php\/wp-json\/wp\/v2\/media?parent=1025"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/tekdf.com\/index.php\/wp-json\/wp\/v2\/categories?post=1025"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/tekdf.com\/index.php\/wp-json\/wp\/v2\/tags?post=1025"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}