{"id":8413,"date":"2023-04-28T09:51:21","date_gmt":"2023-04-28T00:51:21","guid":{"rendered":"https:\/\/www11.ieice.org\/cs\/ap\/wp\/?page_id=8413"},"modified":"2025-12-05T19:02:57","modified_gmt":"2025-12-05T10:02:57","slug":"rain_attenuation","status":"publish","type":"page","link":"https:\/\/www.ieice.org\/cs\/ap\/misc\/denpan-db\/prop_model_db\/model_list\/rain_attenuation\/","title":{"rendered":"\u964d\u96e8\u6e1b\u8870"},"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\u96e8\u3084\u96ea\u304c\u96f2\u304b\u3089\u843d\u4e0b\u3059\u308b\u73fe\u8c61\u307e\u305f\u306f\u843d\u4e0b\u3059\u308b\u7269\u81ea\u4f53\u3092\u964d\u6c34\uff0c\u7279\u306b\u843d\u4e0b\u7269\u304c\u6c34\u6ef4\u306e\u5834\u5408\u3092\u964d\u96e8\u3068\u3044\u3046\uff0e\u96e8\u6ef4\u306e\u6700\u5927\u76f4\u5f84\u306f6mm\u7a0b\u5ea6\u3067\u3042\u308a\uff0c\u305d\u308c\u306f\u6ce2\u9577\u304c\u6570cm\u7a0b\u5ea6\u4ee5\u4e0b\u306e\u96fb\u6ce2\u306b\u304a\u3044\u3066\u5438\u53ce\u3068\u6563\u4e71\u3092\u3082\u305f\u3089\u3059\uff0e\u3053\u306e\u73fe\u8c61\u306b\u3088\u308a\uff0c\u96e8\u57df\uff08\u964d\u96e8\u306e\u9818\u57df\uff09\u3092\u901a\u904e\u3059\u308b\u30de\u30a4\u30af\u30ed\u6ce2\u5e2f\u4ee5\u4e0a\u306e\u96fb\u6ce2\u306b\u306f\u6e1b\u8870\u304c\u751f\u3058\u308b\uff0e\u3053\u306e\u6e1b\u8870\u3092\u964d\u96e8\u6e1b\u8870\u3068\u3044\u3046\uff0e<\/p>\n\n\n\n

\u3000\u964d\u96e8\u6e1b\u8870\u91cf\\(A\\)[dB]\u306f\u4f1d\u642c\u8def\u306b\u6cbf\u3063\u305f\u5404\u5730\u70b9\u306e\u964d\u96e8\u5f37\u5ea6\\(R(x)\\)[mm\/h]\u3092\u7528\u3044\u3066\u5f0f(1)\u3067\u4e0e\u3048\u3089\u308c\u308b[1]\uff0e\u3053\u308c\u306f\uff0c\u96e8\u57df\u3092\u901a\u904e\u3059\u308b\u8ddd\u96e2\u304c\u9577\u304f\u306a\u308b\u307b\u3069\u6e1b\u8870\u91cf\u304c\u5927\u304d\u304f\u306a\u308b\u3053\u3068\u3092\u610f\u5473\u3059\u308b\uff0e\u7279\u306b\u964d\u96e8\u5f37\u5ea6\u304c\u4f1d\u642c\u8def\u306e\u533a\u9593\u5185\u3067\u4e00\u5b9a\u3067\u3042\u308b\u5834\u5408\uff0c\u6e1b\u8870\u91cf\u306f\u8ddd\u96e2\u306b\u6bd4\u4f8b\u3059\u308b\u3053\u3068\u304b\u3089\uff0c\u305d\u306e\u8a55\u4fa1\u306b\u306f\u5f0f(2)\u3067\u4e0e\u3048\u3089\u308c\u308b\u964d\u96e8\u6e1b\u8870\u4fc2\u6570\\(\u03b3_R\\)[dB\/km]\u304c\u6307\u6a19\u3068\u3057\u3066\u7528\u3044\u3089\u308c\u308b\uff0e\u306a\u304a\uff0c\u5f0f(1),(2)\u306b\u304a\u3044\u3066\\(k\\)\u3068\\(\u03b1\\)\u306f\u5468\u6ce2\u6570\u3084\u504f\u6ce2\u9762\u306a\u3069\u306b\u3088\u3063\u3066\u6c7a\u307e\u308b\u5b9a\u6570\u3067\u3042\u308a\uff0c ITU-R\u30e2\u30c7\u30eb[2]\u3067\u306f\u5f0f(3,4) \u3067\u4e0e\u3048\u3089\u308c\u308b\uff0e\u56f31\u306f\u5f0f(2)\uff5e(4)\u3092\u7528\u3044\u3066\u8a08\u7b97\u3057\u305f\\(\u03b3_R\\)\u3067\u3042\u308b\uff0e\u964d\u96e8\u6e1b\u8870\u306f\u5468\u6ce2\u6570\u304c\u9ad8\u304f\u306a\u308b\u307b\u3069\u5897\u52a0\u3057\uff0c\u305d\u306e\u5897\u52a0\u306e\u5272\u5408\u306f\u964d\u96e8\u91cf\u304c\u591a\u3044\u307b\u3069\u5927\u304d\u3044\uff0e\u307e\u305f\uff0c\u6c34\u5e73\u504f\u6ce2\u306e\u6e1b\u8870\u306f\u5782\u76f4\u504f\u6ce2\u306e\u6e1b\u8870\u3088\u308a\u5927\u304d\u304f\u306a\u308b\uff0e\u3053\u308c\u306f\uff0c\u843d\u4e0b\u6642\u306e\u96e8\u6ef4\u5f62\u72b6\u304c\u7a7a\u6c17\u62b5\u6297\u3092\u53d7\u3051\u3066\u6c34\u5e73\u65b9\u5411\u306b\u6241\u5e73\u3059\u308b\u305f\u3081\u3067\u3042\u308b\uff0e<\/p>\n\n\n\n

\u3000\u3068\u3053\u308d\u3067\uff0c\u964d\u96e8\u5f37\u5ea6\u306f\u4e00\u822c\u306b\u7a7a\u9593\u7684\u304b\u3064\u6642\u9593\u7684\u306b\u5206\u5e03\u3059\u308b\uff0e\u885b\u661f\u901a\u4fe1\u306e\u56de\u7dda\u8a2d\u8a08\u3067\u306f\u964d\u96e8\u5f37\u5ea6\u306e\u9577\u671f\u7d71\u8a08\u5024\u304b\u3089\u6c42\u3081\u305f\u964d\u96e8\u6e1b\u8870\u91cf\u304c\u5229\u7528\u3055\u308c\u308b\uff0e ITU-R\u30e2\u30c7\u30eb[3]\u3067\u306f\uff0c\u5f0f(5)\uff5e(15)\u3088\u308a\uff0c\u7d2f\u7a4d\u78ba\u7387\uff08\u6642\u9593\u7387\uff09\\(p\\)%\uff08\u305f\u3060\u3057\uff0c0.001\u2264 \\(p\\) \u22645\uff09\u306e\u6e1b\u8870\u91cf\\(A_p\\)[dB]\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u308b\uff0e\u305f\u3060\u3057\uff0c\u5468\u6ce2\u6570\u306e\u9069\u7528\u7bc4\u56f2\u306f55GHz\u4ee5\u4e0b\u3067\u3042\u308b\uff0e\u3000<\/p>\n\n\n

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

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

\u3007\u964d\u96e8\u6e1b\u8870\u91cf<\/p>\n\n\n\n

\\(
A = k {\\displaystyle \\int_{A}^{B}} R(x)^\\alpha dx \\quad {\\rm [dB]} \\
\\tag{1}
\\)<\/p>\n\n\n\n

\u3007\u964d\u96e8\u6e1b\u8870\u4fc2\u6570<\/p>\n\n\n\n

\\(
\\gamma_R = k R^\\alpha \\quad {\\rm [dB\/km]} \\
\\tag{2}
\\)<\/p>\n\n\n\n

\u3007\u964d\u96e8\u6e1b\u8870\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\\(k\\)\u3068\\(\u03b1\\)<\/p>\n\n\n\n

\\(
\\log_{10} k = {\\displaystyle \\sum_{j=1}^{4}} \\left( a_j \\exp \\left[ – \\left( \\frac{\\log_{10}f – b_j}{c_j} \\right)^2 \\right] \\right) + m_k \\log_{10}f + c_k \\
\\tag{3}
\\)<\/p>\n\n\n\n

\\(
\\alpha = {\\displaystyle \\sum_{j=1}^{5}} \\left( a_j \\exp \\left[ – \\left( \\frac{\\log_{10}f – b_j}{c_j} \\right)^2 \\right] \\right) + m_\\alpha \\log_{10}f + c_\\alpha \\
\\tag{4}
\\)<\/p>\n\n\n\n

\u305f\u3060\u3057\uff0c\\(f\\)\u306f\u5468\u6ce2\u6570[GHz]\u3067\u3042\u308a\uff0c\u5404\u4fc2\u6570\u306f\u5782\u76f4\u504f\u6ce2(V)\u3068\u6c34\u5e73\u504f\u6ce2(H)\u306b\u5bfe\u3057\u3066\u88681,2\u3067\u4e0e\u3048\u3089\u308c\u308b\uff0e<\/p>\n\n\n\n

\u88681\u3000\u30d1\u30e9\u30e1\u30fc\u30bf\\(k\\)\u306e\u4fc2\u6570\u5024
\u6c34\u5e73\u504f\u6ce2<\/p>\n\n\n

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

\u5782\u76f4\u504f\u6ce2<\/p>\n\n\n

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

\u88682\u3000\u30d1\u30e9\u30e1\u30fc\u30bf\\(\u03b1\\)\u306e\u4fc2\u6570\u5024
\u6c34\u5e73\u504f\u6ce2\u3000<\/p>\n\n\n

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

\u5782\u76f4\u504f\u6ce2<\/p>\n\n\n

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

\u3007\u7d2f\u7a4d\u78ba\u7387\\(p\\)%\u306e\u6e1b\u8870\u91cf\\(A_p\\)[dB]\n\n\n\n

\\(
A_p = A_{0.01} \\left( \\frac{p}{0.01} \\right)^{-(0.655 + 0.033 \\ln p – 0.045 \\ln A_{0.01} – \\beta (1-p) \\sin \\theta)} \\
\\tag{5}
\\)<\/p>\n\n\n\n

\u305f\u3060\u3057\uff0c<\/p>\n\n\n\n

\\(
\u03b2 = \\left\\{
\\begin{array}{ll}
0 & {\\rm if} \\ p \\geq 1 \\% \\ {\\rm or} \\ |\\varphi| \\geq 36^{\\circ} \\\\
-0.005 (|\\varphi|) – 36 & {\\rm if} \\ p < 1 \\% \\ {\\rm and} \\ |\\varphi| < 36^{\\circ} \\ {\\rm and} \\ \\theta \\geq 25^{\\circ} \\\\
-0.005 (|\\varphi|) – 36 + 1.8 – 4.25 \\sin \\theta & {\\rm Otherwise}
\\end{array}
\\right. \\\\
\\tag{6}
\\)<\/p>\n\n\n\n

\u307e\u305f\uff0c \\(A_{0.01}\\)[dB]\u306f\uff0c\u7d2f\u7a4d\u78ba\u73870.01%\u306e\u964d\u96e8\u5f37\u5ea6\\(R_{0.01}\\)[mm\/h]\u3092\u5f0f(2)\u306b\u4ee3\u5165\u3057\u3066\u5f97\u3089\u308c\u308b<\/p>\n\n\n\n

\u964d\u96e8\u6e1b\u8870\u4fc2\u6570\\(\u03b3_{R,0.01}\\)\u3068\u5f8c\u8ff0\u306e\u7b49\u4fa1\u901a\u8def\u9577\\(L_E\\)\u3092\u7528\u3044\u3066\uff0c\u6b21\u5f0f\u3067\u4e0e\u3048\u3089\u308c\u308b\uff0e<\/p>\n\n\n\n

\\(
A_{0.01} = \\gamma_{R, 0.01} L_E \\
\\tag{7}
\\)<\/p>\n\n\n\n

\u3007\u7d2f\u7a4d\u78ba\u73870.01%\u306e\u7b49\u4fa1\u901a\u8def\u9577\\(L_E\\) [km]\n\n\n\n

\u7b49\u4fa1\u901a\u8def\u9577\u306f\u6b21\u306e\u30b9\u30c6\u30c3\u30d71\uff5e\u30b9\u30c6\u30c3\u30d78\u306e\u904e\u7a0b\u3092\u7d4c\u3066\u6c42\u3081\u308b\uff0e<\/p>\n\n\n\n

\u30fb\u30b9\u30c6\u30c3\u30d71\uff1a\u96e8\u57df\u306e\u9ad8\u5ea6\\(h_R\\) [km]\n\n\n\n

\\(
h_R = h_0 + 0.36 \\
\\tag{8}
\\)<\/p>\n\n\n\n

\u305f\u3060\u3057\uff0c\\(h_0\\)\u306fITU-R P.839 [4]\u3088\u308a\u5f97\u3089\u308c\u308b0\u2103 \u6d77\u629c\u9ad8\u5ea6\uff08\u6771\u4eac\u4ed8\u8fd1\u3067\u7d044.16km\uff09\u3067\u3042\u308a\uff0c<\/p>\n\n\n\n

0.36km\u306f0\u2103 \u6d77\u629c\u9ad8\u5ea6\u304b\u3089\u306e\u88dc\u6b63\u5024\uff0e<\/p>\n\n\n\n

\u30fb\u30b9\u30c6\u30c3\u30d72\uff1a\u96e8\u57df\u306e\u9577\u3055\\(L_s\\) [km]\n\n\n\n

\\(
L_s = \\left\\{
\\begin{array}{cl}
\\frac{h_R – h_s}{\\sin \\theta} & {\\rm for} \\ \\theta \\geq 5^{\\circ} \\\\
\\frac{2(h_R – h_s)}{\\left( \\sin^2 \\theta + \\frac{2(h_R – h_s)}{R_e} \\right)^{1\/2} + \\sin \\theta} & {\\rm else}
\\end{array}
\\right. \\\\
\\tag{9}
\\)<\/p>\n\n\n\n

\u306a\u304a\uff0c \\(h_R\\)-\\(h_s\\)\u22640\u306e\u5834\u5408\u306f\u964d\u96e8\u6e1b\u8870\u306f\u30bc\u30ed\u3068\u306a\u308a\uff0c\u30b9\u30c6\u30c3\u30d7\u306f\u3053\u3053\u3067\u7d42\u4e86\uff0e<\/p>\n\n\n\n

\u30fb\u30b9\u30c6\u30c3\u30d73\uff1a\u96e8\u57df\u306e\u9577\u3055\u306e\u6c34\u5e73\u906e\u853d\u8ddd\u96e2\\(L_G\\) [km]\n\n\n\n

\\(
L_G = L_s \\cos \\theta \\
\\tag{10}
\\)<\/p>\n\n\n\n

\u30fb\u30b9\u30c6\u30c3\u30d74\uff1a\u7d2f\u7a4d\u6642\u9593\u73870.01%\u306e\u964d\u96e8\u5f37\u5ea6\\(R_{0.01}\\) [mm\/h]\n\n\n\n

\u5bfe\u8c61\u3068\u3059\u308b\u5834\u6240\u306b\u304a\u3051\u308b\u5e73\u5e74\u306e\u7d2f\u7a4d\u6642\u9593\u73870.01%\u306b\u76f8\u5f53\u3059\u308b\u964d\u96e8\u5f37\u5ea6\uff0e\u9577\u671f\u7d71\u8a08\u3067\u305d\u306e\u5730\u70b9\u306e\u30c7\u30fc\u30bf\u304c\u5f97\u3089\u308c\u306a\u3044\u5834\u5408\u306b\u306f\uff0cITU-R P.839[4]\u306b\u793a\u3055\u308c\u3066\u3044\u308b\u964d\u96e8\u5f37\u5ea6\u306e\u4e16\u754c\u5730\u56f3\u3092\u53c2\u7167\uff0e<\/p>\n\n\n\n

\u30fb\u30b9\u30c6\u30c3\u30d75\uff1a\u6c34\u5e73\u9762\u5185\u306b\u304a\u3051\u308b\u4fee\u6b63\u4fc2\u6570\\(r_{0.01}\\)<\/p>\n\n\n\n

\\(
r_{0.01} = \\frac{1}{1 + 0.78 \\sqrt{\\frac{L_G \\gamma_{R, 0.01}}{f}} – 0.38 (1 – e^{-2 L_G})} \\
\\tag{11}
\\)<\/p>\n\n\n\n

\u30fb\u30b9\u30c6\u30c3\u30d76\uff1a\u5782\u76f4\u9762\u5185\u306b\u304a\u3051\u308b\u8abf\u6574\u4fc2\u6570\\(\u03bd_{0.01}\\)<\/p>\n\n\n\n

\\(
\\nu_{0.01} = \\frac{1}{1 + \\sqrt{\\sin \\theta} \\left( 31(1 – e^{-(\\theta \/ (1 + \\chi))})\\right) \\sqrt{\\frac{L_R \\gamma_{R, 0.01}}{f^2}} – 0.45} \\
\\tag{12}
\\)<\/p>\n\n\n\n

\u305f\u3060\u3057\uff0c<\/p>\n\n\n\n

\\(
L_R = \\left\\{
\\begin{array}{cl}
\\frac{L_G r_{0.01}}{\\cos \\theta} & {\\rm for} \\ \\theta < \\tan^{-1} \\left( \\frac{h_R – h_s}{L_G r_{0.01}} \\right) \\\\
\\frac{(h_R – h_s)}{\\sin \\theta} & {\\rm else}
\\end{array}
\\right. \\\\
\\tag{13}
\\)<\/p>\n\n\n\n

\\(
\\chi = \\left\\{
\\begin{array}{ll}
36 – |\\varphi| & {\\rm for} \\ |\\varphi| < 36^{\\circ} \\\\
0 & {\\rm else}
\\end{array}
\\right. \\\\
\\tag{14}
\\)<\/p>\n\n\n\n

\u30fb\u30b9\u30c6\u30c3\u30d77\uff1a\u7b49\u4fa1\u901a\u8def\u9577\\(L_E\\)[km]\n\n\n\n

\\(
L_E = L_R \\nu_{0.01}
\\tag{15}
\\)<\/p>\n\n\n\n

\u30d1\u30e9\u30e1\u30fc\u30bf<\/h3>\n\n\n\n

\u3007\u3000\u964d\u96e8\u6e1b\u8870\u4fc2\u6570\u306e\u30d1\u30e9\u30e1\u30fc\u30bf<\/p>\n\n\n\n

\n\n\n\n\n\n
\u8a18\u53f7<\/td>\n\u30d1\u30e9\u30e1\u30fc\u30bf\u8aac\u660e[\u5358\u4f4d]\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000 \u3000\u3000\u3000<\/td>\n<\/tr>\n
\\(R\\)<\/td>\n\u964d\u96e8\u5f37\u5ea6[mm\/h]<\/td>\n<\/tr>\n
\\(f\\)<\/td>\n\u5468\u6ce2\u6570[GHz] (\u305f\u3060\u3057\uff0c1\uff5e1000GHz)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/figure>\n\n\n\n

\u3007\u3000\u964d\u96e8\u6e1b\u8870\u91cf\uff08\u9577\u671f\u7d71\u8a08\u5024\uff09\u306e\u30d1\u30e9\u30e1\u30fc\u30bf<\/p>\n\n\n\n

\u8a18\u53f7<\/td>\u30d1\u30e9\u30e1\u30fc\u30bf\u8aac\u660e[\u5358\u4f4d]\u3000 <\/td><\/td><\/tr>
\\(h_s\\)<\/td>\u5bfe\u8c61\u5730\u7403\u5c40\u306e\u6d77\u629c\u9ad8 [km]<\/td><\/td><\/tr>
\\(\u03b8\\)<\/td>\u885b\u661f\u65b9\u5411\u306e\u4ef0\u89d2 [\u00b0]<\/td><\/td><\/tr>
\\(\u03c6\\)<\/td>\u5730\u7403\u5c40\u306e\u7def\u5ea6[\u00b0]<\/td><\/td><\/tr>
\\(f\\)<\/td>\u5468\u6ce2\u6570[GHz] (\u305f\u3060\u3057\uff0c55GHz\u4ee5\u4e0b)<\/td><\/td><\/tr>
\\(R_e\\)<\/td>\u7b49\u4fa1\u5730\u7403\u534a\u5f84 8500km<\/td><\/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]\u3000\u5ca9\u4e95\u8aa0\u4eba\uff0c\u524d\u5ddd\u6cf0\u4e4b\uff0c\u5e02\u576a\u4fe1\u4e00\uff0c\u201c\u96fb\u6ce2\u4f1d\u642c\uff0c\u201d\u7b2c3\u7ae0\uff0c\u671d\u5009\u66f8\u5e97\uff0c2018\uff0e<\/p>\n\n\n\n[2]\u3000ITU-R Recommendation P.838-3, Specific attenuation model for rain for use in prediction methods, 2005. <\/p>\n\n\n\n[3] \u3000ITU-R Rec-ommendation P.618-13, Propagation data and prediction methods required for the design of earth-space telecommunication systems, 2017.<\/p>\n\n\n\n[4]\u3000ITU-R Rec-ommendation P.839-4, Rain height model for prediction methods, 2013.<\/p>\n\n\n\n[5]\u3000\u524d\u5ddd\u6cf0\u4e4b, \u201c30\u5e74\u9593\u306e\u9577\u671f\u89b3\u6e2c\u306b\u57fa\u3065\u304f\u885b\u661f\u901a\u4fe1\u4f1d\u642c\u8def\u306b\u304a\u3051\u308b\u964d\u96e8\u6e1b\u8870\u7279\u6027\u306e\u7814\u7a76,\u201d \u4fe1\u5b66\u8ad6B, Vol. J103-B, No. 11, pp. 481-490, Nov. 2020.<\/p>\n","protected":false},"excerpt":{"rendered":"

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