{"id":8601,"date":"2023-04-27T08:46:22","date_gmt":"2023-04-26T23:46:22","guid":{"rendered":"https:\/\/www11.ieice.org\/cs\/ap\/wp\/?page_id=8601"},"modified":"2025-12-05T19:15:44","modified_gmt":"2025-12-05T10:15:44","slug":"tropospheric_scatter","status":"publish","type":"page","link":"https:\/\/www.ieice.org\/cs\/ap\/misc\/denpan-db\/prop_model_db\/model_list\/tropospheric_scatter\/","title":{"rendered":"\u5bfe\u6d41\u570f\u6563\u4e71"},"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\u5bfe\u6d41\u570f\u306b\u304a\u3044\u3066\u306f\uff0c\u5927\u6c17\u306e\u5834\u6240\u7684\u306a\u4e0d\u5747\u4e00\u6027\u306b\u3088\u308a\uff0c\u96fb\u6ce2\u304c\u6563\u4e71\u3055\u308c\u308b\uff0e\u9001\u53d7\u4fe1\u30a2\u30f3\u30c6\u30ca\u9593\u306b\u898b\u901a\u3057\u304c\u306a\u3044\u5834\u5408\uff0c\u3053\u306e\u6563\u4e71\u6ce2\u306e\u3046\u3061\u6bd4\u8f03\u7684\u5f37\u3044\u96fb\u754c\u5f37\u5ea6\u304c\u5f97\u3089\u308c\u308b\u524d\u65b9\u6563\u4e71\u6ce2\u3092\u5229\u7528\u3057\u3066\u901a\u4fe1\u3092\u884c\u3046\u3053\u3068\u304c\u3067\u304d\u308b\uff0e\u5bfe\u6d41\u570f\u6563\u4e71\u6ce2\u306f\u9001\u4fe1\u53ca\u3073\u53d7\u4fe1\u30a2\u30f3\u30c6\u30ca\u306e\u4e3b\u30d3\u30fc\u30e0\u304c\u4ea4\u5dee\u3059\u308b\u7a7a\u9593\u9818\u57df\u304b\u3089\u5230\u6765\u3059\u308b\uff0e\u307e\u305f\uff0c\u5bfe\u6d41\u570f\u6563\u4e71\u6ce2\u306f\uff0c\u6642\u9593\u306b\u5bfe\u3057\u3066\u7de9\u3084\u304b\u306a\u5909\u52d5\u6210\u5206\u3068\uff0c\u901f\u3044\u5909\u52d5\u6210\u5206\u304b\u3089\u6210\u308a\u7acb\u3063\u3066\u3044\u308b\uff0e\u7de9\u3084\u304b\u306a\u5909\u52d5\u6210\u5206\u306f\uff0c\u4f1d\u642c\u8def\u5168\u4f53\u306e\u5927\u6c17\u306e\u5c48\u6298\u6761\u4ef6\u306e\u5909\u52d5\u306b\u3088\u308b\u3082\u306e\u3067\u3042\u308b\uff0e\u901f\u3044\u5909\u52d5\u6210\u5206\u306f\uff0c\u6bd4\u8f03\u7684\u77ed\u3044\u30b9\u30b1\u30fc\u30eb\u306e\u5927\u6c17\u306e\u4e0d\u5747\u4e00\u6027\u306e\u5909\u52d5\u306b\u3088\u308b\u3082\u306e\u3067\u3042\u308b\uff0e\u7de9\u3084\u304b\u306a\u5909\u52d5\u6210\u5206\u306f\uff0c1\u6642\u9593\u7a0b\u5ea6\u306e\u5909\u52d5\u5468\u671f\u3092\u3082\u3063\u3066\u304a\u308a\uff0c\u5909\u52d5\u306e\u5206\u5e03\u306f\uff0c\u6a19\u6e96\u504f\u5dee4\uff5e8dB\u7a0b\u5ea6\u306e\u5bfe\u6570\u6b63\u898f\u5206\u5e03\u3068\u306a\u308b\uff0e\u901f\u3044\u5909\u52d5\u6210\u5206\u306f5\u5206\u7a0b\u5ea6\u306e\u5909\u52d5\u5468\u671f\u3067\u3042\u308a\uff0c\u30ec\u30a4\u30ea\u30fc\u5206\u5e03\u3068\u306a\u308b\uff0e\u3053\u3053\u3067\u306f\uff0cITU-R P.617-5\u306b\u8a18\u8f09\u306e\u9577\u671f\u5909\u52d5\u4f1d\u642c\u640d\u5931\u306e\u5e74\u9593\u4e2d\u592e\u5024\u306e\u8a08\u7b97\u65b9\u6cd5\u306b\u3064\u3044\u3066\u793a\u3059\uff0e<\/p>\n\n\n

\n
\"\"
\u56f31 \u5bfe\u6d41\u570f\u6563\u4e71\u306e\u6982\u8981<\/span><\/figcaption><\/figure><\/div>\n\n\n

\u8a08\u7b97\u65b9\u6cd5<\/h3>\n\n\n\n

\u5bfe\u6d41\u570f\u6563\u4e71\u306b\u3088\u308b\u9577\u671f\u5909\u52d5\u4f1d\u642c\u640d\u5931\u306e\u6642\u9593\u7387\\(p\\)\u3092\u8d85\u3048\u306a\u3044\u5e74\u9593\u5e73\u5747\u4e2d\u592e\u5024\\(L(p)\\)\u306f\u4e0b\u8a18\u306e\u624b\u9806\u3067\u8a08\u7b97\u3055\u308c\u308b\uff0e<\/p>\n\n\n\n

Step 1 <\/em>: \u30c7\u30a3\u30b8\u30bf\u30eb\u30de\u30c3\u30d7\u3088\u308a\uff0c\u5e73\u5747\u5e74\u9593\u6d77\u9762\u5c48\u6298\u7387\\(N_0\\)\u53ca\u3073\u5e73\u5747\u5e74\u9593\u96fb\u6ce2\u5c48\u6298\u7387\u6e1b\u7387\\(dN\\)\u3092\u53d6\u5f97\u3059\u308b\uff0e
\\(N_0\\)\u306fN050.TXT\uff0c\\(dN\\)\u306fDN050.TXT\u306b\u8a18\u8f09\u306e\u5024\u3092\u305d\u308c\u305e\u308c\u5229\u7528\u3059\u308b\uff0e
\u5404\u30d5\u30a1\u30a4\u30eb\u3068\u3082\u306b\uff0c\u884c\u65b9\u5411\u304c\u7def\u5ea6\u306b\u5bfe\u5fdc\u3057\u3066\u304a\u308a\uff0c90\u00baN\uff5e90\u00baS\u306e\u7bc4\u56f2\u30671.5\u5ea6\u9593\u9694\uff0c\u5217\u65b9\u5411\u304c\u7d4c\u5ea6\u306b\u5bfe\u5fdc\u3057\u3066\u304a\u308a\uff0c0\u00b0\uff5e360\u00b0\u306e\u7bc4\u56f2\u30671.5\u5ea6\u9593\u9694\u306b\uff0c\u5024\u304c\u4fdd\u5b58\u3055\u308c\u3066\u3044\u308b\uff0e
\uff08\u4e0a\u8a18\u306e\u30c7\u30fc\u30bf\u306fR-REC-P.617-5-201908-I!!ZIP-E.zip<\/a>\u3088\u308a\u53d6\u5f97\u53ef\u80fd\uff0e\u672c\u30da\u30fc\u30b8\u672b\u5c3e\u306e\u8a08\u7b97\u7528\u30a8\u30af\u30bb\u30eb\u30d5\u30a1\u30a4\u30eb\u306b\u3082\u540c\u3058\u30c7\u30fc\u30bf\u30b7\u30fc\u30c8\u3042\u308a.\uff09<\/p>\n\n\n

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

Step 2 <\/em>: \u6563\u4e71\u89d2\\(\\theta_t\\)\u306f
\\(
\\theta = \\theta_e + \\theta_t + \\theta_r \\quad {\\rm (mrad)} \\\\
\\tag{1}
\\)
\u3068\u306a\u308b\uff0e\u3053\u3053\u3067\uff0c \\(\\theta_t\\)\u53ca\u3073\\(\\theta_r\\)\u306f\u9001\u4fe1\u53ca\u3073\u53d7\u4fe1\u30a2\u30f3\u30c6\u30ca\u306e\u6c34\u5e73\u65b9\u5411\u304b\u3089\u306e\u4ef0\u89d2\u3067\u3042\u308a\uff0c
\\(
\\theta_e = d \\cdot 10^3 \/ ka \\quad {\\rm (mrad)} \\\\
\\tag{2}
\\)
\u3067\u3042\u308b\uff0e\u3053\u3053\u3067\uff0c
\\(d\\): \u30d1\u30b9\u9577 (km)
\\(a\\): 6370 (km)\u3000\uff08\u5730\u7403\u306e\u534a\u5f84\uff09
\\(k\\): \u7b49\u4fa1\u5730\u7403\u534a\u5f84\u4fc2\u6570\uff08\u6b63\u78ba\u306a\u5024\u304c\u4e0d\u660e\u306a\u5834\u5408\u306f4\/3\u3068\u3059\u308b\uff0e\uff09
\u3067\u3042\u308b\uff0e<\/p>\n\n\n\n

Step 3 <\/em>: \u958b\u53e3\u9762\u304b\u3089\u5a92\u8cea\u3078\u306e\u7d50\u5408\u640d\u5931\\(L_c\\)\u306f\uff0c
\\(
L_c = 0.07 \\exp \\left[ 0.055 (G_t + G_r) \\right] \\quad {\\rm (dB)} \\\\
\\tag{3}
\\)
\u3068\u306a\u308b\uff0e\u3053\u3053\u3067\uff0c \\(G_t\\)\u53ca\u3073\\(G_r\\)\u306f\u9001\u4fe1\u53ca\u3073\u53d7\u4fe1\u306e\u30a2\u30f3\u30c6\u30ca\u5229\u5f97\uff08dBi\uff09\u3067\u3042\u308b\uff0e<\/p>\n\n\n\n

Step 4 <\/em>: \u6642\u9593\u7387\\(p\\)%\u3092\u8d85\u3048\u306a\u3044\u5bfe\u6d41\u570f\u6563\u4e71\u306b\u3088\u308b\u5e73\u5747\u5e74\u9593\u4f1d\u9054\u640d\u5931\u306f\uff0c
\\(
L_{bc}(p) = F + 22 \\log f + 35 \\log \\theta + 17 \\log d + L_c – Y_p \\quad {\\rm (dB)} \\\\
\\tag{4}
\\)
\u3068\u306a\u308b\uff0e\u3053\u3053\u3067\uff0c
\\(
F = 0.18 \\cdot N_0 \\cdot \\exp \\left( – \\frac{h_s}{h_b} \\right) – 0.23 \\cdot dN \\quad {\\rm (dB)} \\\\
\\tag{5}
\\)
\\(
Y_p = \\left\\{
\\begin{array}{ll}
0.035 N_0 \\exp \\left( – \\frac{h_0}{h_b} \\right) \\cdot \\left( – \\log \\left( \\frac{p}{50} \\right) \\right)^{0.67} & p < 50 \\\\
– 0.035 N_0 \\exp \\left( – \\frac{h_0}{h_b} \\right) \\cdot \\left( – \\log \\left[ \\frac{100-p}{50} \\right] \\right)^{0.67} & p \\geq 50
\\end{array}
\\right. \\\\
\\tag{6}
\\) 
\\(
h_0 = h_t + \\frac{d \\sin \\beta}{\\sin (\\theta \/ 1000)} \\left[ \\frac{1}{2} \\frac{d \\sin \\beta}{ka \\sin (\\theta \/ 1000)} + \\sin \\left( \\frac{\\theta_t}{1000} \\right) \\right] \\\\
\\tag{7a}
\\)
\u3067\u3042\u308b\uff0e\u89d2\u5ea6\\(\\beta\\)\u306f\uff0c
\\(
\\beta = \\frac{d}{2ka} + \\frac{\\theta_r}{1000} + \\frac{h_r – h_t}{d} \\quad {\\rm (rad)} \\\\
\\tag{7b}
\\)
\u3068\u306a\u308b\uff0e\u3053\u3053\u3067\uff0c \\(h_t\\)\u53ca\u3073\\(h_r\\)\u306f\uff0c\u9001\u4fe1\u53ca\u3073\u53d7\u4fe1\u30a2\u30f3\u30c6\u30ca\u306e\u6a19\u9ad8\uff08km\uff09\u3067\u3042\u308b\uff0e\u307e\u305f\uff0c
\\(h_s\\): \u5730\u7403\u8868\u9762\u306e\u6d77\u629c\u9ad8 (km)
\\(h_b\\): \u7570\u306a\u308b\u6c17\u5019\u6761\u4ef6\u6bce\u306b\u7d71\u8a08\u7684\u306b\u6c7a\u5b9a\u3055\u308c\u308b\u30b9\u30b1\u30fc\u30eb\u9ad8\uff08km\uff09\uff0e\u53c2\u8003\u307e\u3067\u306b\uff0c\u5730\u7403\u5168\u4f53\u306e\u5e73\u5747\u5024\u306f7.35 km.
\u3067\u3042\u308b\uff0e<\/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 \uff08\u5358\u4f4d\uff09<\/td><\/tr>
\\(d\\)<\/td>\u30d1\u30b9\u9577 \uff08km\uff09<\/td><\/tr>
\\(f\\)<\/td>\u5468\u6ce2\u6570 \uff08MHz\uff09*<\/sup><\/td><\/tr>
\\(p\\)<\/td>\u6642\u9593\u7387 \uff08%\uff09<\/td><\/tr>
\\(G_t\\)<\/td>\u9001\u4fe1\u30a2\u30f3\u30c6\u30ca\u5229\u5f97\uff08dBi\uff09<\/td><\/tr>
\\(G_r\\)<\/td>\u53d7\u4fe1\u30a2\u30f3\u30c6\u30ca\u5229\u5f97\uff08dBi\uff09<\/td><\/tr>
\\(\\theta_t\\)<\/td>\u9001\u4fe1\u30a2\u30f3\u30c6\u30ca\u306e\u6c34\u5e73\u65b9\u5411\u304b\u3089\u306e\u4ef0\u89d2\uff08mrad\uff09<\/td><\/tr>
\\(\\theta_r\\)<\/td>\u53d7\u4fe1\u30a2\u30f3\u30c6\u30ca\u306e\u6c34\u5e73\u65b9\u5411\u304b\u3089\u306e\u4ef0\u89d2\uff08mrad\uff09<\/td><\/tr>
\\(N_0\\)<\/td>\u5e73\u5747\u5e74\u9593\u6d77\u9762\u5c48\u6298\u7387<\/td><\/tr>
\\(dN\\)<\/td>\u5e73\u5747\u5e74\u9593\u96fb\u6ce2\u5c48\u6298\u7387\u6e1b\u7387<\/td><\/tr>
\\(a\\)<\/td>\u5730\u7403\u306e\u534a\u5f84\uff086370 km\uff09<\/td><\/tr>
\\(k\\)<\/td>\u7b49\u4fa1\u5730\u7403\u534a\u5f84\u4fc2\u6570\uff08\u6b63\u78ba\u306a\u5024\u304c\u4e0d\u660e\u306a\u5834\u5408\u306f4\/3\uff09<\/td><\/tr>
\\(h_t\\)<\/td>\u9001\u4fe1\u30a2\u30f3\u30c6\u30ca\u306e\u6a19\u9ad8\uff08km\uff09<\/td><\/tr>
\\(h_r\\)<\/td>\u53d7\u4fe1\u30a2\u30f3\u30c6\u30ca\u306e\u6a19\u9ad8\uff08km\uff09<\/td><\/tr>
\\(h_s\\)<\/td>\u5730\u7403\u8868\u9762\u306e\u6d77\u629c\u9ad8\uff08km\uff09<\/td><\/tr>
\\(h_b\\)<\/td>\u7570\u306a\u308b\u6c17\u5019\u6761\u4ef6\u6bce\u306b\u7d71\u8a08\u7684\u306b\u6c7a\u5b9a\u3055\u308c\u308b\u30b9\u30b1\u30fc\u30eb\u9ad8\uff08m\uff09
\uff08\u53c2\u8003\u5024\uff1a\u5730\u7403\u5168\u4f53\u306e\u5e73\u5747\u5024\u306f7.35 km\uff09<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

*ITU-R Recommendation P.617-5\u306b\u306f\u9069\u7528\u5468\u6ce2\u6570\u7bc4\u56f2\u306f\u660e\u78ba\u306b\u793a\u3055\u308c\u3066\u3044\u306a\u3044\uff0e<\/p>\n\n\n\n

\u8a08\u7b97\u4f8b<\/h3>\n\n\n\n

\u4e0b\u8a18\u306e\u7d50\u679c\u306b\u5171\u901a\u306e\u8a08\u7b97\u6761\u4ef6<\/p>\n\n\n\n

\\(f\\) = 4000, 10000, 20000 (MHz), \\(G_t\\) = 0 (dBi), \\(G_r\\) = 0 (dBi), \\(\\theta_t\\)  <\/em>= 0.1 (deg) , <\/em>\\(\\theta_r\\) = 0.1 (deg), <\/em>\\(N_0\\) = 317.248, \\(dN\\) = 40.726, \\(a\\) = 6370 (km), \\(k\\) = 4\/3, \\(h_t\\) = 0.1 (km), \\(h_r\\) = 0.1 (km), \\(h_s\\) = 0.025 (km), \\(h_b\\) = 7.35 (km)<\/p>\n\n\n

\n
\"\"
\u56f34 \u5bfe\u6d41\u570f\u6563\u4e71\u8a08\u7b97\u4f8b<\/span><\/figcaption><\/figure><\/div>\n\n\n

\u30d7\u30ed\u30b0\u30e9\u30e0\u4f8b<\/h3>\n\n\n\n

\u30fb\u5bfe\u6d41\u570f\u6563\u4e71\u3092\u8a08\u7b97\u3059\u308b\u30a8\u30af\u30bb\u30eb\u30d5\u30a1\u30a4\u30eb<\/a><\/p>\n\n\n\n

\u30fb\\(N_0\\)\u306f\uff0cN050\u30b7\u30fc\u30c8\u306e\u5024\u3092\u5229\u7528\uff0e\\(dN\\)\u306fDN0\u30b7\u30fc\u30c8\u306e\u5024\u3092\u5229\u7528\uff0e\u5404\u5024\u306e\u7def\u5ea6\u7d4c\u5ea6\u306f\u305d\u308c\u305e\u308c\uff0cLAT\uff0cLON\u30b7\u30fc\u30c8\u306b\u8a18\u8f09\uff0e\uff08\u8a08\u7b97\u4f8b\u3067\u306f\uff0c\u305d\u308c\u305e\u308c\u5de6\u4e0a\u9685\u306e\u5024\u3092\u5229\u7528\uff09<\/p>\n\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]\u3000\u7d30\u77e2\u826f\u96c4\u76e3\u4fee\uff0c\u201c\u96fb\u6ce2\u4f1d\u642c\u30cf\u30f3\u30c9\u30d6\u30c3\u30af\uff0c\u201d\u7b2c19\u7ae0\uff0c\u30ea\u30a2\u30e9\u30a4\u30ba\u793e\uff0c1999\uff0e<\/p>\n\n\n\n[3] \u3000ITU-R Recommendation P.617-5, Propagation prediction techniques and data required for the design of trans-horizon radio-relay systems, Aug. 2019.<\/p>\n","protected":false},"excerpt":{"rendered":"

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