୍⯡♫ᅋἲே 㟁Ꮚ᝟ሗ㏻ಙᏛ఍                      ಙᏛᢏሗ‫ٻ‬‫ٻڇڮڞڤکڪڭگڞڠڧڠٻڡڪٻڠگڰگڤگڮکڤٻڠڣگ‬                     ‫ٻۏۍۊۋۀڭٻۇڼھۄۉۃھۀگٻڠڞڤڠڤ‬ࣾஂ๏ਓ ిࢠ৘ใ௨৴ֶձ৴ֶٕใ‫ٻڮڭڠڠکڤڢکڠٻکڪڤگڜڞڤکڰڨڨڪڞٻڟکڜٻکڪڤگڜڨڭڪڡکڤ‬                ‫ڜ‬㺃‫ٻڄڌڌڈړڌڋڍڃٻڍڎڌڈړڌڋڍګ‬THE INSTITUTE OF ELECTRONICS,TECHNICAL REPORT OF IEICE.
INFORMATION AND COMMUNICATION ENGINEERS‫ٻ‬ϦϑϨΫτΞϨʔʹ͓͚Δ࢒ཹऩࠩͷ؆қධՁ๏‫ۏ‬ӜɹѮ†຀໺ɹ࣎†ਢӬɹٝ†୍઒ɹಓੜ††தౢɹ޺ণ††† ۚ୔޻‫ۀ‬େֶ ˟ 921–8501 ੴ઒‫ݝ‬໺ʑࢢࢢઔٰ͕ 7–1†† ࡾඛి‫ࣜגػ‬ձࣾ৘ใٕज़૯߹‫ ˟ ॴڀݚ‬247–8501 ਆಸ઒‫חݝ‬૔ࢢେધ 5–1–1
E-mail: †b1403455@planet.kanazawa-it.ac.jp͋Β·͠ैདྷͷҐ૬‫ࠩޡ‬प೾਺ಛੑͷධՁ๏͸ɼҐ૬‫ڸͱࠩޡ‬໘ߏ੒ͱͷؔ܎͕໌֬Ͱͳ͔ͬͨɽຊใࠂͰ͸ɼϦϑϨΫτΞϨʔΞϯςφʹೖࣹ͢Δ೾໘͕ɼΠϝʔδͷҰ࣍์ࣹ‫͔ث‬Β์ࣹ͢Δ‫ٿ‬໘೾Ͱ͋Δͱۙࣅ͢Δɽ࢒ཹऩࠩΛҰ࣍ͱೋ࣍ͷऩࠩʹ෼͚Δ͜ͱͰɼઃ‫ܭ‬प೾਺֎Ͱൃੜ͢Δ࢒ཹऩࠩͷਪఆ͕༰қʹͳΔͨΊɼ‫ڸ‬໘Λઃ‫͢ܭ‬Δ͜ͱͳ͘؆қతͳ࢒ཹऩࠩͷਪఆ͕ՄೳͰ͋Δ͜ͱΛࣔͨ͠ɽΩʔϫʔυ ϦϑϨΫτΞϨʔΞϯςφɼऩࠩɼ࢒ཹऩࠩɼ‫ٿ‬໘೾ɼ؆қධՁ๏A simple evaluation method of residual aberration in reﬂect arrays
Aoi KOTOURA† , Shigeru MAKINO† , Yoshimi SUNAGA† , Michio TAKIKAWA†† , and Hiromasa
NAKAJIMA††† Kanazawa Institute of Technology Ohgigaoka 7–1, Nonoichi, Ishikawa, 921–8501 Japan†† Mitsubishi Electric Corporation Ofuna 5–1–1, Kamakura, Kanagawa 247–8501 Japan
E-mail: †b1403455@planet.kanazawa-it.ac.jp
Abstract In the conventional method of evaluating the phase error frequency characteristic, the relationship between the phase error and the mirror surface conﬁguration was not clear. In this report, we approximate thatthe wavefront incident on the reﬂectarray antenna is a spherical wave radiating from the primary radiator of theimage. By dividing residual aberration into primary and secondary aberrations, it is easy to estimate the residualaberration occurring outside the design frequency, and it is shown that it is possible to estimate simple residualaberration without designing a mirror surface It was.
Key words Reﬂect array antenna, Aberration, Residual aberration, Spherical wave, Simple evaluation method1. ͸ ͡ Ί ʹΒ͔ͳ‫ۂ‬ઢͱͳΔ͜ͱΛࣔͨ͠ɽ·ͨɼ൓ࣹҐ૬ͷ੍‫ޚ‬ൣғ͕
−2mπ <= Φ0 <= 0 ͷൣғͰมԽ͢ΔҐ૬มԽૉࢠ [4] ΍ଟ૚ૉϦϑϨΫτΞϨʔΞϯςφ (ҎԼɼϦϑϨΫτΞϨʔ) ͸ɼ༠ࢠ [5] ͱ͍ͬͨϚϧνϨΠϠϦϑϨΫτΞϨʔʹ͓͍ͯ͸ɼκʔిମ‫ج‬൘্ʹۚଐૉࢠΛ૷ՙͨ͠प೾਺બ୒൘ʢFSRʣͷ൓ࣹχϯά͕ͳ͍৔߹͸Ґ૬‫ൃ͕ࠩޡ‬ੜ͠ͳ͍͜ͱɼ·ͨɼκʔχҐ૬੍‫ػޚ‬ೳΛ൓ࣹ‫ڸ‬Ξϯςφʹద༻ͨ͠΋ͷͰ͋Δ [1]ɽҰϯάΛͨ͠৔߹͸Ґ૬‫֊͕ࠩޡ‬ஈঢ়ʹൃੜ͠ɼͦͷแབྷઢ͸γൠతʹɼϦϑϨΫτΞϨʔ͸༠ిମ‫ج‬൘্ʹ഑ஔ͞ΕͨۚଐૉϯάϧϨΠϠͷҐ૬‫ͱࠩޡ‬ಉ౳ͳ‫ۂ‬ઢͱͳΔ͜ͱΛࣔͨ͠ɽ͠ࢠͰҐ૬Λ੍‫͠ޚ‬ɼ೚ҙͷऩࠩΛิਖ਼͢Δ͜ͱʹΑͬͯઃ‫ܭ‬प͔͠ɼҐ૬‫ڸͱࠩޡ‬໘ߏ੒ͱͷؔ܎͸ඞͣ͠΋໌֬Ͱ͸ͳ͔ͬ೾਺ʹ͓͍ͯฏ໘೾໘Λ࣮‫͢ݱ‬Δɽͨ [6]ɽैདྷͷ‫ݕ‬౼Ͱ͸ɼۚଐૉࢠͷ൓ࣹҐ૬ʹ࣮‫ݱ‬Մೳ͔ͭཧ૝ຊ࿦จͰ͸ɼϦϑϨΫτΞϨʔʹೖࣹ͢Δ೾໘ΛΠϝʔδͷతͳप೾਺ಛੑΛ༻͍Δ͜ͱͰɼۚଐૉࢠ΍༠ిମ‫ج‬൘ͳͲҰ࣍์ࣹ‫( ث‬ҎԼɼΠϝʔδϗʔϯ) ͔Β์ࣹ͞ΕΔ‫ٿ‬໘೾ͱۙͷ‫ڸ‬໘ઃ‫ܭ‬Λ͢Δ͜ͱͳ͘ɼ࢒ཹऩࠩͷप೾਺ಛੑΛਪఆ͢ࣅ͢Δ͜ͱʹΑΓɼ࢒ཹऩࠩΛҰ࣍ͱೋ࣍ʹ෼͚Δ͜ͱ͕ՄೳΔ͜ͱ͕ՄೳͰ͋Δ͜ͱΛࣔͨ͠ [2][3]ɽ൓ࣹҐ૬ͷ੍‫ޚ‬ൣғ͕ −π <= Φ0 <= π ͰมԽ͢ΔγϯάϧϨΠϠͷϦϑϨΫτΞͱͳΓɼҰ࣍ͱೋ࣍ͷऩࠩͷൃੜྔͱ‫ڸ‬໘ߏ੒ͷઃ‫ܭ‬ύϥϝʔϨʔʹ͓͍ͯ͸ɼҐ૬‫͕ࠩޡ‬κʔχϯάͷ༗ແʹؔΘΒͣͳΊϜγϑτɼೋ࣍ͷऩࠩ͸རಘ௿ԼʹରԠ͢Δɽλͱͷؔ܎ੑΛ໌֬ʹͨ͠ɽ͜ΕΒͷ͏ͪɼҰ࣍ͷऩࠩ͸Ϗʔ

—1—- 171 This article is a technical report without peer review, and its polished and/or extended version may be published elsewhere.

Copyright ©201 by IEICEࣹҐ૬ͷ੍‫ޚ‬ൣғ͸ −π <= Φ0 <= π Ͱ͋Δɽઃ‫ܭ‬प೾਺ f0 ʹ2. ࢒ཹऩࠩͷఆੑతղऍ
2. 1 ऩ͓͚Δ൓ࣹҐ૬Λਤ 2 ͷ੨৭ͷ఺Ͱࣔ͠ɼࣜ (6) Ͱද͞ΕΔ൓ࣹҐ૬Λ੨ͷ࣮ઢͰࣔ͢ɽ·ͨɼ࣮‫͖Ͱݱ‬Δ൓ࣹҐ૬ͷҰྫΛࠩऩࠩ Δ ͱ͸ɼҰ࣍์ࣹ‫͔ث‬Β์ࣹ͞ΕɼϦϑϨΫτΞϨʔʹ൓ࣹͨ͠೾໘ͱɼॴ๬ͷฏ໘೾ͱͷޫ࿏ࠩͷ͜ͱͰ͋Δɽਤ 1྘ͷ఺ઢʹࣔ͢ɽ൓ࣹҐ૬ͷप೾਺ಛੑ͸ෛͷ܏͖͔࣮͠‫Ͱݱ‬͖ͳ͍ͨΊɼ൓ࣹҐ૬͕ −π <= Φ0 <= 0 ͷ৔߹͸ۙࣅతʹ࣮‫ݱ‬ΑΓɼr ΛҰ࣍์ࣹ‫͔ث‬ΒϦϑϨΫτΞϨʔ্ͷ೚ҙͷૉࢠʹ͢Δ͜ͱ͕ՄೳͰ͋Δɽ͔͠͠ɼ൓ࣹҐ૬͕ 0 <= Φ0 <= π ͷ৔ࢸΔϕΫτϧͱ͢Δͱɼͦͷૉࢠ͕ิਖ਼͢΂͖ऩࠩ Δ ͸࣍ࣜͰ߹͸ɼࣜ (6) Ͱද͞ΕΔ൓ࣹҐ૬͕ਖ਼ͷ܏͖Ͱ͋ΔͨΊɼ࣮‫ݱ‬ද͞ΕΔɽෆՄೳͰ͋Δɽ͕ͨͬͯ͠ɼۙࣅతʹ࣮‫͖Ͱݱ‬Δཧ૝ͷप೾਺

Δ = r1 + r2 − C = |r| − r · k − CಛੑΛࣜ (7) ͱԾఆ͢Δɽ͜ΕΛ੺ͷഁઢͰࣔ͢ɽ

(1)

Φ(f ) = Φ0͜͜Ͱɼk ͸ॴ๬ͷϏʔϜํ޲ɼC ͸೚ҙͷఆ਺Ͱ͋Δɽ

(7)

ࣜ (7) Λࣜ (4) ʹ୅ೖ͢ΔͱɼϦϑϨΫτΞϨʔʹ͓͚Δ࢒ཹऩࠩͷࣜ (8) ͕ಘΒΕΔɽ

dΔ =λ0 − λΔ − mnλλ0(8)ࣜ (8) ΑΓɼҐ૬‫ʹࠩޡ‬ରԠͨ͠࢒ཹऩࠩ͸ࣜ (9) ʹͳΔɽdΔ =λ0 − λΔλ0(9)ࣜ (1) ͓Αͼࣜ (9) ʹΑͬͯ࢒ཹऩࠩΛධՁͰ͖Δ͕ɼ͜ΕΒͷ͔ࣜΒͲͷΑ͏ͳ࢒ཹऩ͕ࠩൃੜ͍ͯ͠Δ͔Λਪఆ͢Δ͜ͱ͸ࠔ೉Ͱ͋Δɽਤ1ऩࠩ

2. 2 ࢒ཹऩࠩͷಋग़
Φ(f ) Λ൓ࣹҐ૬ͷप೾਺ಛੑɼΦ0 Λઃ‫ܭ‬प೾਺ f0 ʹ͓͚Δ൓ࣹҐ૬ɼλ Λ೚ҙͷप೾਺ʹ͓͚Δ೾௕ɼλ0 Λઃ‫ܭ‬प೾਺ʹ͓͚Δ೾௕ͱ͢ΔɽҰൠతʹɼϦϑϨΫτΞϨʔ͸−mπ <= Φ0 <= mπ ͷൣғͰ൓ࣹҐ૬Λ੍‫͢ޚ‬ΔͨΊɼn ‫ݸ‬໨ͷκʔϯʹ͓͚Δ൓ࣹҐ૬ Φ0 ͸ࣜ (2) Ͱܾఆ͢Δɽ

Φ0 =2π(Δ − mnλ0 )λ0(2)ਤ2൓ࣹҐ૬ͷൺֱप೾਺ f ͷͱ͖ɼ൓ࣹҐ૬ Φ ʹΑͬͯิਖ਼͞ΕΔऩࠩ Δ ͸ࣜ(3) Ͱ͋Δɽ

3. ࢒ཹऩࠩͷ؆қධՁ๏λΦ
Δ =2π


(3)

3. 1 ؆қධՁ๏ʹ͓͚Δऩࠩ
ਤ 3 ʹϦϑϨΫτΞϨʔͷ‫ز‬Կֶతͳߏ଄Λࣔ͢ɽϦϑϨΫࣜ (2)ɼ(3) ΑΓɼप೾਺ f ʹ͓͚ΔҐ૬‫ʹࠩޡ‬ରԠ͢Δ࢒ཹऩτΞϨʔʹ͸ 4 ͭͷࣗ༝౓͕͋Δઃ‫ܭ‬ύϥϝʔλ͕ଘࡏ͠ɼ͜

ࠩ dΔ ͸ࣜ (4) ͱͳΔɽdΔ = Δ− Δ − mnλ =1(Φ0 λ0 − Φλ)+mn(λ0 −λ)2π͜Ͱ͸ϦϑϨΫτΞϨʔͷ։‫ ܘޱ‬DɼҰ࣍์ࣹ‫͕ث‬Ґஔ͢Δ఺

(4)F ͔Β‫ڸ‬໘ͷத৺Ͱ͋Δ఺ O ·Ͱͷ‫ ཭ڑ‬RɼΠϝʔδϗʔϯप೾਺ʹ͔͔ΘΒͣ࢒ཹऩ͕ࠩൃੜ͠ͳ͍৚݅͸ࣜ (5) Ͱ͋ΔɽdΔ = 0ϩοΩϯάʹͳΒͳ͍ͨΊͷΫϦΞϥϯε c ͱ͢Δɽਤʹ͓͍

(5)

ͯɼ఺ F ͔Β์ࣹ͞ΕɼϦϑϨΫτΞϨʔͰ൓ࣹͨ͠೾໘͸ɼκʔχϯάΛ͠ͳ͍ϦϑϨΫτΞϨʔͷ৔߹͸ n = 0 Ͱ͋ΔͨΊɼࣜ (5) ͷ৚݅͸ࣜ (6) ͱͳΔɽf
Φ(f ) =
Φ0f0ͷҐஔΛ఺ F  ͱͨ͠ͱ͖ͷϏʔϜγϑτ֯ θɼҰ࣍์ࣹ‫͕ث‬ϒ఺ F  ͔Β์ࣹ͞ΕΔ೾໘ʹ૬౰͢Δɽ‫ʹີݫ‬͸ɼิਖ਼͢΂͖ऩࠩ͸ࣜ (1) Ͱࣔͨ͠ऩࠩͰ͋Δ͕ɼਤ 4 ͷऩࠩ Δ Ͱࣔ͢Α͏ʹɼ؆қධՁ๏ʹ༻͍Δऩࠩ͸఺ F  Λத৺ͱ͢Δ൒‫ ܘ‬R ͷ‫ٿ‬(6)໘೾໘ͱॴ๬ͷฏ໘೾໘ͱͷࠩͰ͋Δͱۙࣅ͢Δɽ

ࣜ (6) ͸प೾਺ʹ͔͔ΘΒͣ࢒ཹऩ͕ࠩൃੜ͠ͳ͍৚݅Ͱ͋Δɽ·ͨɼҰൠతʹγϯάϧϨΠϠͷϦϑϨΫτΞϨʔʹ͓͚Δ൓- 172 -—2—ਤ5ਤ3Ұ࣍ͱೋ࣍ͷऩࠩϦϑϨΫτΞϨʔͷ‫ز‬Կֶతߏ଄

ਤ6ਤ4࢒ཹऩ͕ࠩൃੜ͢ΔϝΧχζϜ؆қධՁ๏ʹ͓͚Δऩࠩ

3. 2 ࢒ཹऩࠩͷఆੑతղऍ
ࣜʢ9ʣ͸γϯάϧϨΠϠϦϑϨΫτΞϨʔʹ͓͚Δ࢒ཹऩࠩप೾਺ಛੑΛ͍ࣔͯ͠Δɽ͜ΕΑΓɼλ = λ0 ͷ৔߹͸࢒ཹऩ͕ࠩൃੜ͠ͳ͍ͨΊɼॴ๬ͷฏ໘೾໘Λ࣮‫͢ݱ‬Δ͜ͱ͕ՄೳͰ
͋Δɽ Ұํɼλʼλ0 ͷ৔߹ͷ࢒ཹऩࠩ͸ dΔʻ 0 ͱͳΔͨΊɼϦϑϨΫτΞϨʔ͸࢒ཹऩࠩΛա৒ʹิਖ਼͢Δɽ·ͨɼλʻλ0ͷ৔߹͸࢒ཹऩ͕ࠩ dΔʼ 0 ͱͳΔͨΊɼิਖ਼͸ෆे෼ͱͳΔɽ
ਤ 5 ΑΓɼҰ࣍ͷऩࠩΛߟྀ͢Δͱɼਤ 5 ͷऩࠩ Δ ͸Ұ࣍ਤ7ͷऩࠩ Δ1 ͱೋ࣍ͷऩࠩ Δ2 ʹ෼͚ΒΕΔɽ͜͜ͰɼΠϝʔδ౸ୡ͢Δ೾໘

ϗʔϯ͸։‫ޱ‬໘ͷத৺ʹҐஔ͍ͯ͠Δͱ͢Δɽ

L = D tan θਤ 6 ͸ λʼλ0 ͷ৔߹ʹ͓͚Δ࢒ཹऩ͕ࠩൃੜ͢ΔϝΧχζ
ϜΛ͍ࣔͯ͠Δɽ·ͣɼҰ࣍ͷऩࠩ Δ1 ʹ͍ͭͯ‫ݕ‬౼͢Δɽਤ

(10)

ࣜ (9) Ͱࣔͨ͠࢒ཹऩࠩͷࣜͷ͏ͪɼΔ Λࣜ (10) Ͱ‫ٻ‬Ίͨ L ʹதʹ͓͍ͯɼҰ࣍ͷऩࠩ Δ1 ͷ೾໘ A ͸ɼप೾਺ f Ͱա৒ิஔ͖‫͑׵‬Δɽ͜ΕΑΓɼҰ࣍ͷऩࠩΛਪఆ͢ΔͨΊͷύϥϝʔਖ਼͞ΕΔɽ͜ΕΑΓɼҰ࣍ͷ࢒ཹऩࠩ dΔ1 ͸೾໘ B Ͱද͞Ελ ΔL ͸ҎԼͷΑ͏ʹͳΔɽΔɽಉ༷ʹͯ͠ɼೋ࣍ͷऩࠩ Δ2 ͷ৔߹͸ɼ೾໘ C ͕ա৒ิਖ਼

ΔL =͞Εɼೋ࣍ͷ࢒ཹऩࠩ dΔ2 ͸೾໘ D ʹΑͬͯද͞ΕΔɽ݁Ռ
ͱͯ͠ɼप೾਺ f ʹ͓͚Δ೾໘͸೾໘ E ͱͳΓɼҰ࣍ͷ࢒ཹऩࠩʹΑͬͯϏʔϜγϑτɼೋ࣍ͷ࢒ཹऩࠩʹΑͬͯརಘ௿Լ͕

͢Δ೾໘Λ·ͱΊͨ΋ͷͰ͋Δɽ

θS = tan−1tan θS =

θS ͸‫ز‬Կֶతʹܾఆ͞ΕΔɽ͜͜ͰɼL ͸Ұ࣍ͷऩࠩΛਪఆ͢
ΔͨΊͷύϥϝʔλͰ͋ΓɼҎԼͷࣜͰࣔ͞ΕΔɽ

ΔL
D(12)

͜ΕΒͷࣜΛ੔ཧ͢ΔͱɼҎԼͷ͕ࣜಘΒΕΔɽ

3. 3 Ұ͓࣍Αͼೋ࣍ͷ࢒ཹऩࠩΛߟྀͨ͠؆қධՁ๏
ਤ 8 ΑΓɼҰ࣍ͷ࢒ཹऩࠩ dΔ1 ʹ͓͚ΔΠϝʔδϗʔϯ֯(11)͕ͨͬͯ͠ɼΠϝʔδϗʔϯ֯ θS ͸ҎԼͷΑ͏ʹ‫ٻ‬ΊΒΕΔɽ‫͜ى‬Δɽਤ 7 ͸Πϝʔδϗʔϯ F  ͷҐஔ͕։‫ޱ‬த৺ͷ্·ͨ͸ԼʹҐஔ͢Δ৔߹͓Αͼɼλʼλ0 ·ͨ͸ λʻλ0 ͷ৔߹ʹ౸ୡ

λ0 − λL
λ0λ0 − λtan θλ0(13)͕ͨͬͯ͠ɼΠϝʔδϗʔϯ֯ θS ͸ϏʔϜγϑτ֯ θ ʹґଘ͢Δɽ·ͨɼೋ࣍ͷ࢒ཹऩࠩʹΑͬͯੜ͡ΔҐ૬‫͍ͯͭʹࠩޡ‬΋‫ز‬- 173 -—3—Կֶతʹܾఆ͞ΕΔɽਤ 9 ΑΓɼΠϝʔδϗʔϯ͸։‫ޱ‬ͷத৺ʹҐஔ͍ͯ͠Δͱ͢Δͱɼ࢒ཹऩࠩ͸ೋ࣍ͷΈͱͳΓɼΠϝʔδϗʔϯ֯͸ൃੜ͠ͳ͍ɽਤதʹ͓͍ͯɼS ͸ೋ࣍ͷऩࠩΛਪఆ͢ΔͨΊͷύϥϝʔλͰ͋ΓɼҎԼͷࣜͰද͞ΕΔɽS =R−R2 − (D 2)
2(14)ࣜ (9) ͷ͏ͪɼΔ Λ S ʹஔ͖‫͑׵‬Δ͜ͱʹΑͬͯɼೋ࣍ͷ࢒ཹऩࠩΛਪఆ͢ΔͨΊͷύϥϝʔλ͸࣍ࣜͱͳΔɽ

ΔS =λ0 − λSλ0(15)ਤ 10؆қධՁ๏ʹ͓͚Δ࢒ཹऩࠩೋ࣍ͷ࢒ཹऩࠩʹ‫ى‬Ҽ͢Δ‫཰ۂ‬൒‫ ܘ‬R ͸ҎԼͷࣜͰࣔ͞ΕΔɽR =ΔS 2 + ( D)222ΔS

4. ղ ੳ ݁ Ռ(16)4. 1 ղੳϞσϧ͜ΕΑΓɼೋ࣍ͷऩࠩ͸։‫ޱ‬໘ D ͓Αͼ‫཰ۂ‬൒‫ ܘ‬R ʹґଘ͢Δɽೋ࣍ͷऩࠩΛ‫ݮ‬Βͨ͢Ίʹ͸ɼ‫཰ۂ‬൒‫ ܘ‬R Λେ͖͘͢Δඞ
ཁ͕͋Δɽ͕ͨͬͯ͠ɼϦϑϨΫτΞϨʔʹ͓͍ͯ R/D ൺ͸ඇৗʹॏཁͳύϥϝʔλͰ͋ΓɼύϥϘϥΞϯςφʹ͓͍ͯॏτΞϨʔʹ͸ 4 ͭͷࣗ༝౓͕͋Δύϥϝʔλ͕͋Γɼࠓճͷઃ‫͍͓ͯʹܭ‬͸ϦϑϨΫτΞϨʔͷ։‫ ܘޱ‬DɼҰ࣍์ࣹ‫͔ث‬Β‫ڸ‬໘·Ͱͷ‫ ཭ڑ‬RɼҰ࣍์ࣹ‫͕ث‬ϒϩοΩϯάʹͳΒͳ͍ͨΊͷཁͳύϥϝʔλͰ͋Δ F/D ൺͱࠅࣅ͍ͯ͠ΔɽҰ࣍ͱೋ࣍ͷऩࠩΛߟྀ͢Δͱɼ࢒ཹऩࠩ͸ਤ 10 ʹࣔ͢఺F  2 ͔Βͷ‫ٿ‬໘೾໘Ͱ͋Γɼθs ͓Αͼ R ʹΑܾͬͯఆ͞ΕΔɽͭ·Γɼ࢒ཹऩࠩ͸ϦϑϨΫτΞϨʔͷઃ‫ܭ‬ύϥϝʔλͷ͏ͪɼDɼθ ͓Αͼ R ʹΑܾͬͯఆ͞ΕΔ͜ͱ͕Θ͔Δɽ

ਤ 11 ʹϦϑϨΫτΞϨʔͷ‫ڸ‬໘‫ܥ‬ͷߏ੒Λࣔ͢ɽϦϑϨΫΫϦΞϥϯε cɼΠϝʔδϗʔϯ F  ͷ֯౓ θ Λ༻͍ͨɽਤ 12ʹϦϑϨΫτΞϨʔ‫ڸ‬໘ͷઃ‫ܭ‬ύϥϝʔλΛࣔ͢ɽۚଐૉࢠ͸ϦϯάૉࢠΛ༻͍ͨɽղੳϞσϧͰ༻͍ͨύϥϝʔλΛද 1ɼ͜ͷઃ‫ܭ‬ύϥϝʔλΛ༻͍ܾͯఆ͞Εͨૉࢠͷ഑ྻΛਤ 13 ʹ
ࣔ͢ɽ
ද1

ਤ8

ϦϑϨΫτΞϨʔͷઃ‫ܭ‬ύϥϝʔλઃ‫ܭ‬प೾਺ f0 [GHz]12.0։‫ ܘޱ‬D[mm]1000.0Ұ࣍์ࣹ‫͔ث‬Β‫ڸ‬໘·Ͱͷ‫ ཭ڑ‬R[mm]1000.0ΫϦΞϥϯε c[mm]200.0Πϝʔδϗʔϯ֯ θ[deg]20༠ిମ‫ج‬൘ް t[mm]3.2ൺ༠ి཰ r2.59‫ৼڞ‬ૉࢠִؒ d[mm]9.2Ϧϯά൒‫ ܘ‬r

0.3 4.3Ϧϯά෯ w[mm]0.2Ұ࣍ͷऩࠩͷ‫ز‬Կֶతͳߏ଄

ਤ 11ਤ9ϦϑϨΫτΞϨʔͷ‫ڸ‬໘ߏ੒ೋ࣍ͷऩࠩͷ‫ز‬Կֶతͳߏ଄

- 174 -—4—

5. Ή ͢ ͼຊ࿦จͰ͸ɼϦϑϨΫτΞϨʔʹೖࣹ͢Δ೾໘ΛΠϝʔδϗʔϯ͔Β์ࣹ͞Εͨ൒‫ ܘ‬R ͷ‫ٿ‬໘೾ͱۙࣅ͢Δ͜ͱʹΑΓɼ࢒ཹऩࠩΛҰ࣍ͱೋ࣍ͷऩࠩʹ෼͚Δ͜ͱ͕ՄೳͰ͋Δ͜ͱΛࣔͨ͠ɽ·ͨɼҰ࣍ͷऩࠩͱೋ࣍ͷऩࠩͷൃੜྔͱ‫ڸ‬໘ߏ੒ͱͷؔ܎ੑΛ໌֬ʹ͠ɼ࢒ཹऩࠩͷ؆қతͳධՁ๏ʹ͍ͭͯɼͦͷଥ౰ੑΛ‫ͨ͠ূݕ‬ɽ݁Ռͱͯ͠ɼҐ૬‫ࠩޡ‬ͷղੳ݁Ռʹ͓͍ͯɼઃ‫ܭ‬ϞσϧΛ༻͍ͨղੳ݁Ռͱ؆қධՁ๏Λ༻͍ͨղੳ݁
ਤ 12Ռͷ܏޲͕֓ͶҰக͍ͯ͠Δ͜ͱ͔Βɼ‫ڸ‬໘Λઃ‫͢ܭ‬Δ͜ͱͳઃ‫ܭ‬ύϥϝʔλʹରԠ͢Δ‫ڸ‬໘ਤ͘ɼ࢒ཹऩࠩͷධՁ͕ՄೳͰ͋Δ͜ͱΛࣔͨ͠ɽจ‫ݙ‬[1] J.Huang, et al. , ʡReﬂectarray antennasʡ, WileyɼNew Jersey,2007.
[2] ‫ۏ‬Ӝ Ѯɼଞɼ৴ֶ૯ମɼB-1-49ɼ2018ɽ
[3] ‫ۏ‬Ӝ Ѯɼଞɼ৴ֶٕใɼAP2018-42ɼpp1-5ɼ2018ɽ
[4] M. Bozzi, et al. , ʡPerformance Comparison of Diﬀerent Element Shapes Used in Printed Reﬂectarrays,ʡIEEE AWPL.
, vol. 2, pp. 219-222, 2003.
[5] J. A. Encinar, ʡDesign of two-layer printed reﬂectarrays
using patches of variable size,ʡ IEEE TAP. , Vol. 49, No,
10. PP. 1403-1410, Oct. 2001.
[6] ‫ۏ‬Ӝ Ѯɼଞɼ৴ֶιମɼB-1-97ɼ2018ɽ

ਤ 13ઃ‫ܭ‬ύϥϝʔλΛ༻͍ܾͯఆͨ͠ૉࢠ഑ྻ

4. 2 ղੳ݁Ռͷൺֱ
ਤ 14 ʹ࢒ཹऩࠩप೾਺ಛੑͷղੳ݁ՌΛࣔ͢ɽάϥϑͷॎ͓࣠Αͼԣ࣠͸ͦΕͧΕҐ૬‫ͱࠩޡ‬։‫ޱ‬໘ͷੇ๏Λ͓ࣔͯ͠Γɼάϥϑ্ͷ஋ʹ͍ͭͯ͸ɼ྘͕ઃ‫ܭ‬प೾਺ f0=12.0[GHz]ɼ੨͕

f=11.0[GHz]ɼ੺͕ f=13.0[GHz] Ͱ͋Δɽ࣮ઢ͸࣮ࡍʹઃ‫͠ܭ‬ͨϦϑϨΫτΞϨʔΛղੳ͠ɼͦͷप೾਺ಛੑΑΓ‫ٻ‬ΊͨҐ૬‫ࠩޡ‬ɼഁઢ͸ࣜ (1) Λࣜ (9) ʹ୅ೖͯ͠ಘΒΕͨ࢒ཹऩࠩΑΓ‫ٻ‬ΊͨҐ૬‫ࠩޡ‬ɼ఺ઢ͸؆қධՁ๏Λ༻͍ͨҐ૬‫ࠩޡ‬Λ͍ࣔͯ͠Δɽઃ‫ܭ‬प೾਺֎ͷ࢒ཹऩࠩʹ͓͍ͯɼഁઢͰࣔͨ͠Ґ૬‫ޡ‬ࠩ͸࣮ઢͰࣔͨ͠Ґ૬‫֓ͱࠩޡ‬ͶҰக͍ͯ͠Δ͜ͱ͕Θ͔ΔɽҰํɼ఺ઢͰࣔͨ͠Ґ૬‫͍ͯͭʹࠩޡ‬͸ɼଟগͷͣΕ͸͋Δ͕ɼҐ૬‫ࠩޡ‬ͷਪఆʹ͓͍ͯଥ౰ͳ݁Ռ͕ಘΒΕͨɽ͜͜Ͱࣔ͞ΕΔҐ૬‫ࠩޡ‬͸ཧ࿦‫ݶ‬ք஋Ͱ͋Γɼۚଐૉࢠͷ‫ܗ‬ঢ়ʹؔΘΒͣద༻͞ΕΔɽ

ਤ 14ղੳ݁Ռͷൺֱ- 175 -—5—