{"id":6623,"date":"2022-03-16T15:26:48","date_gmt":"2022-03-16T06:26:48","guid":{"rendered":"https:\/\/www11.ieice.org\/cs\/ap\/wp\/?page_id=6623"},"modified":"2025-12-05T18:34:19","modified_gmt":"2025-12-05T09:34:19","slug":"free_space_propagation_loss","status":"publish","type":"page","link":"https:\/\/www.ieice.org\/cs\/ap\/misc\/denpan-db\/prop_model_db\/model_list\/free_space_propagation_loss\/","title":{"rendered":"\u81ea\u7531\u7a7a\u9593\u4f1d\u642c\u640d\u5931"},"content":{"rendered":"
<\/div>

<\/path><\/svg><\/i> \"Loading\"<\/p>

<\/div>(since 2025\/12\/5)<\/p>\n\n\n\n

\u30e2\u30c7\u30eb\u306e\u6982\u8981<\/h3>\n\n\n\n

\u3000\u81ea\u7531\u7a7a\u9593\u4f1d\u642c\u640d\u5931\u306f\uff0c\u9001\u53d7\u4fe1\u30a2\u30f3\u30c6\u30ca\u9593\u306b\u53cd\u5c04\u7269\u3084\u906e\u853d\u7269\u306a\u3069\u304c\u306a\u3044\u771f\u7a7a\u3067\u306e\u7a7a\u9593\u306b\u304a\u3051\u308b\u4f1d\u642c\u640d\u5931\u3067\u3042\u308b\uff0e\u81ea\u7531\u7a7a\u9593\u4f1d\u642c\u640d\u5931\u306f\uff0c\u540c\u4e00\u504f\u6ce2\u306e2\u3064\u306e\u30a2\u30f3\u30c6\u30ca\u306e\u4e00\u65b9\u304b\u3089\u4ed6\u65b9\u3078\u96fb\u529b\u3092\u4f1d\u9054\u3059\u308b\u5834\u5408\u306b\uff0c\u30a2\u30f3\u30c6\u30ca\u306e\u7279\u6027\u3068\u96fb\u6ce2\u306e\u96fb\u529b\u5bc6\u5ea6\u306e\u7a7a\u9593\u7684\u5e83\u304c\u308a\u3092\u8003\u616e\u3059\u308b\u3053\u3068\u3067\u5b9a\u7fa9\u3055\u308c\u308b\u91cf\u3067\u3042\u308b\uff0e<\/p>\n\n\n\n

\u3000\u7121\u6307\u5411\u6027\u3067\u640d\u5931\u306e\u306a\u3044\u7d76\u5bfe\u5229\u5f97\\(G_t\\)\u306e\u9001\u4fe1\u30a2\u30f3\u30c6\u30ca\u306b\uff0c\\(W_t\\)[W]\u306e\u96fb\u529b\u304c\u4f9b\u7d66\u3055\u308c\u305f\u5834\u5408\uff0c\u305d\u306e\u5730\u70b9\u304b\u3089\\(d\\)[m]\u96e2\u308c\u305f\u5730\u70b9\u306b\u653e\u5c04\u3055\u308c\u308b\u96fb\u6ce2\u306e\u96fb\u529b\u5bc6\u5ea6\\(P\\)\u306f\u96fb\u6ce2\u304c\u7403\u9762\u72b6\u306b\u5e83\u304c\u308b\u3053\u3068\u306b\u3088\u308a\uff0c<\/p>\n\n\n\n

\\(
{\\displaystyle
P = \\frac{ W_t G_t }{ 4 \\pi d^2 } \\quad {\\rm [W\/m^2]}
\\tag{1}
}
\\)<\/p>\n\n\n\n

\u3067\u4e0e\u3048\u3089\u308c\u308b\uff0e\u307e\u305f\uff0c\u3053\u306e\u9001\u4fe1\u30a2\u30f3\u30c6\u30ca\u306e\u5b9f\u52b9\u9762\u7a4d\u3092\\(A_t\\)[m2<\/sup>]\u3068\u3059\u308b\u3068\uff0c\u5f0f(1)\u306f<\/p>\n\n\n\n

\\(
{\\displaystyle
P = \\frac{ W_t A_t }{ \\lambda^2 d^2 } \\quad {\\rm [W\/m^2]}
\\tag{2}
}
\\)<\/p>\n\n\n\n

\u3068\u5909\u5f62\u3067\u304d\u308b\uff0e\u3053\u3053\u3067\u5b9f\u52b9\u9762\u7a4d\\(A_t\\)\u306f\uff0c<\/p>\n\n\n\n

\\(
{\\displaystyle
A_t = \\frac{ \\lambda^2 G_t }{ 4 \\pi } \\quad {\\rm [m^2]}
\\tag{3}
}
\\)<\/p>\n\n\n\n

\u3067\u3042\u308b\uff0e\u305f\u3060\u3057\uff0c\u5f0f(3)\u306b\u304a\u3044\u3066\\(\\lambda\\)\u306f\u6ce2\u9577\u3092\u8868\u3057\uff0c\u5f0f(3)\u306f<\/p>\n\n\n\n

\\(
{\\displaystyle
W_{ at } = \\frac{ \\lambda^2 }{ 4 \\pi } \\sqrt{ \\frac{ \\epsilon_0 }{ \\mu_0 } } G_t |E|^2 \\quad {\\rm [W]}
\\tag{4}
}
\\)
\\(
{\\displaystyle
P\u2032 = \\sqrt{ \\frac{ \\epsilon_0 }{ \\mu_0 } } |E|^2 \\quad {\\rm [W\/m^2]}
\\tag{5}
}
\\)<\/p>\n\n\n\n

\u3067\u8868\u3055\u308c\u308b\u30a2\u30f3\u30c6\u30ca\u306e\u9001\u4fe1\u6700\u5927\u6709\u52b9\u96fb\u529b\\(W_{at}\\)\u3068\uff0c\u653e\u5c04\u3055\u308c\u308b\u96fb\u6ce2\u306e\u5358\u4f4d\u9762\u7a4d\u5f53\u305f\u308a\u306e\u96fb\u529b\\(P’\\)\u306e\u6bd4 \\(A_t=W_{at}\/P’\\) \u3088\u308a\u6c42\u3081\u3089\u308c\u308b\uff0e\u305f\u3060\u3057\uff0c\\(\\epsilon_0\\)\uff1a\u771f\u7a7a\u306e\u8a98\u96fb\u7387[F\/m]\uff0c\\(\\mu_0\\)\uff1a\u771f\u7a7a\u306e\u900f\u78c1\u7387[H\/m]\uff0c\\(E\\)\uff1a\u9001\u4fe1\u30a2\u30f3\u30c6\u30ca\u304b\u3089\u653e\u5c04\u3055\u308c\u305f\u96fb\u754c\u5f37\u5ea6[V\/m]\u3067\u3042\u308b\uff0e
\u3000\u6b21\u306b\uff0c\u3053\u306e\u96fb\u6ce2\u3092\u5b9f\u52b9\u9762\u7a4d\\(A_r\\)[m2<\/sup>]\u306e\u53d7\u4fe1\u30a2\u30f3\u30c6\u30ca\u3067\u53d7\u3051\u308b\u3068\uff0c\u305d\u306e\u30a2\u30f3\u30c6\u30ca\u304b\u3089\u53d6\u308a\u51fa\u3059\u3053\u3068\u304c\u3067\u304d\u308b\u6700\u5927\u96fb\u529b\\(W_a\\)\u306f\uff0c<\/p>\n\n\n\n

\\(
{\\displaystyle
W_a = \\frac{ A_t A_r }{ 4 \\pi } W_t \\quad {\\rm [W]}
\\tag{6}
}
\\)<\/p>\n\n\n\n

\u306e\u3088\u3046\u306b\u8868\u3055\u308c\u308b\uff0e\u3053\u306e\u95a2\u4fc2\u306f\u30d5\u30ea\u30b9\u306e\u4f1d\u9054\u516c\u5f0f\u3068\u547c\u3070\u308c\u308b\u3082\u306e\u3067\u3042\u308b\uff0e\u5f0f(6)\u306e\u5b9f\u52b9\u9762\u7a4d\\(A_t\\),\\(A_r\\)\u3092\u5229\u5f97\u3067\u8868\u3059\u3068\uff0c<\/p>\n\n\n\n

\\(
{\\displaystyle
W_a = \\frac{ \\lambda^2 G_t G_r }{ 16 \\pi^2 d^2 } W_t = \\left( \\frac{ \\lambda }{ 4 \\pi d } \\right)^2 G_t G_r W_t = \\frac{ G_t G_r W_t }{ L } \\quad {\\rm [W]}
\\tag{7}
}
\\)<\/p>\n\n\n\n

\u3068\u306a\u308a\uff0c\u3053\u3053\u3067<\/p>\n\n\n\n

\\(
{\\displaystyle
L = \\left( \\frac{ 4 \\pi d }{ \\lambda } \\right)^2
\\tag{8}
}
\\)<\/p>\n\n\n\n

 <\/sup>\u3092\u81ea\u7531\u7a7a\u9593\u4f1d\u642c\u640d\u5931\u3068\u5b9a\u7fa9\u3059\u308b\uff0e\u307e\u305f\u5f0f(8)\u3092\u30c7\u30b7\u30d9\u30eb\u3067\u8868\u73fe\u3059\u308b\u3068<\/p>\n\n\n\n

\\(
L_{\\rm dB} = 20 \\log_{ 10 } d + 20 \\log_{ 10 } f – 147.6 \\quad {\\rm [dB]} 
\\tag{9}
\\)<\/p>\n\n\n\n

\u3068\u306a\u308a\uff0c\\(f\\)\u306f\u96fb\u6ce2\u306e\u5468\u6ce2\u6570\u3092\u8868\u3059\uff0e
\u3000\u591a\u304f\u306e\u4f1d\u642c\u74b0\u5883\u3067\u306f\uff0c\u5927\u5730\u3084\u5c71\u5cb3\u306a\u3069\u306b\u3088\u308b\u53cd\u5c04\uff0c\u56de\u6298\uff0c\u5927\u6c17\u306b\u3088\u308b\u5c48\u6298\uff0c\u96fb\u96e2\u5c64\u306e\u5f71\u97ff\u306a\u3069\u3092\u8003\u616e\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\uff0c\u6700\u7d42\u7684\u306b\u53d7\u4fe1\u53ef\u80fd\u306a\u96fb\u529b\\(W_r\\)\u306f\uff0c<\/p>\n\n\n\n

\\(
W_r = A_p W_a \\quad {\\rm [W]} 
\\tag{10}
\\)<\/p>\n\n\n\n

\u3068\u66f8\u304f\u3053\u3068\u304c\u3067\u304d\u308b\uff0e\u5f0f(10)\u306e\\(A_p\\)\u306f\u901a\u904e\u5229\u5f97\u4fc2\u6570\u3068\u547c\u3070\u308c\uff0c\u3053\u306e\u4fc2\u6570\u306b\u3064\u3044\u3066\u8003\u5bdf\u3059\u308b\u3053\u3068\u304c\u96fb\u6ce2\u4f1d\u642c\u306e\u554f\u984c\u3092\u8003\u3048\u308b\u3053\u3068\u3067\u3042\u308b\u3068\u8a00\u3048\u308b\uff0e<\/p>\n\n\n

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

\u6570\u5f0f<\/h3>\n\n\n\n

\\(
{\\displaystyle
L = \\left( \\frac{ 4 \\pi d }{ \\lambda } \\right)^2
\\tag{8}
}
\\)<\/p>\n\n\n\n

\u30d1\u30e9\u30e1\u30fc\u30bf<\/h3>\n\n\n\n
\u8a18\u53f7<\/td>\u30d1\u30e9\u30e1\u30fc\u30bf\u8aac\u660e[\u5358\u4f4d]<\/td><\/tr>
\\(L\\)<\/td>\u81ea\u7531\u7a7a\u9593\u4f1d\u642c\u640d\u5931<\/td><\/tr>
\\(d\\)<\/td>\u9001\u53d7\u4fe1\u9593\u8ddd\u96e2 [m]<\/td><\/tr>
\\(\\lambda\\)<\/td>\u6ce2\u9577 [m]<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

\u8a08\u7b97\u4f8b<\/h3>\n\n\n
\n
\"\"<\/figure><\/div>\n\n\n

\u53c2\u7167<\/h2>\n\n\n\n[1] \u866b\u660e\u5eb7\u4eba\uff0c\u30a2\u30f3\u30c6\u30ca\u30fb\u96fb\u6ce2\u4f1d\u642c\uff0c\u30b3\u30ed\u30ca\u793e\uff0c\u6771\u4eac\uff0c1961\uff0e<\/p>\n\n\n\n[2] \u9032\u58eb\u660c\u660e\uff0c\u7121\u7dda\u901a\u4fe1\u306e\u96fb\u6ce2\u4f1d\u642c\uff0c\u30b3\u30ed\u30ca\u793e\uff0c\u6771\u4eac\uff0c1992\uff0e<\/p>\n","protected":false},"excerpt":{"rendered":"

\u30e2\u30c7\u30eb\u306e\u6982\u8981 \u3000\u81ea\u7531\u7a7a\u9593\u4f1d\u642c\u640d\u5931\u306f\uff0c\u9001\u53d7\u4fe1\u30a2\u30f3\u30c6\u30ca\u9593\u306b\u53cd\u5c04\u7269\u3084\u906e\u853d\u7269\u306a\u3069\u304c\u306a\u3044\u771f\u7a7a\u3067\u306e\u7a7a\u9593\u306b\u304a\u3051\u308b\u4f1d\u642c\u640d\u5931\u3067\u3042\u308b\uff0e\u81ea\u7531\u7a7a\u9593\u4f1d\u642c\u640d\u5931\u306f\uff0c\u540c\u4e00\u504f\u6ce2\u306e2\u3064\u306e\u30a2\u30f3\u30c6\u30ca\u306e\u4e00\u65b9\u304b\u3089\u4ed6\u65b9\u3078\u96fb\u529b\u3092\u4f1d\u9054\u3059\u308b\u5834\u5408\u306b\uff0c\u30a2\u30f3\u30c6\u30ca\u306e\u7279\u6027\u3068\u96fb\u6ce2\u306e\u96fb […]<\/p>\n","protected":false},"author":5,"featured_media":0,"parent":12073,"menu_order":1,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-6623","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.ieice.org\/cs\/ap\/wp-json\/wp\/v2\/pages\/6623","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.ieice.org\/cs\/ap\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.ieice.org\/cs\/ap\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.ieice.org\/cs\/ap\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/www.ieice.org\/cs\/ap\/wp-json\/wp\/v2\/comments?post=6623"}],"version-history":[{"count":41,"href":"https:\/\/www.ieice.org\/cs\/ap\/wp-json\/wp\/v2\/pages\/6623\/revisions"}],"predecessor-version":[{"id":14857,"href":"https:\/\/www.ieice.org\/cs\/ap\/wp-json\/wp\/v2\/pages\/6623\/revisions\/14857"}],"up":[{"embeddable":true,"href":"https:\/\/www.ieice.org\/cs\/ap\/wp-json\/wp\/v2\/pages\/12073"}],"wp:attachment":[{"href":"https:\/\/www.ieice.org\/cs\/ap\/wp-json\/wp\/v2\/media?parent=6623"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}