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Îïèñûâàåòñÿ óðàâíåíèå èçìåðåíèÿ îñåâîãî äèïîëüíî- ãî ìàãíèòíîãî ìîìåíòà ìîäóëüíîé ìàãíèòîìåòðè÷åñ- êîé ñèñòåìîé èç ÷åòûðåõ îñåâûõ äàò÷èêîâ. Ïðèâîäèòñÿ ìàòåìàòè÷åñêàÿ ìîäåëü ìóëüòèïîëüíîé ïîãðåøíîñòè. 1. Àêòóàëüíîñòü èññëåäîâàíèÿ Ýëåêòðî- è ðàäèîòåõíè÷åñêèå óñòðîéñòâà ÿâëÿþòñÿ îñíîâíûìè èñòî÷íèêàìè ïîìåõîíåñóùèõ âíåøíèõ ìàãíèòíûõ ïîëåé (ÂÌÏ), êîòîðûå íàðóøàþò íîð- ìàëüíîå ôóíêöèîíèðîâàíèå ðàçëè÷íûõ ìàãíèòî- ÷óâñòâèòåëüíûõ óñòðîéñòâ è îêàçûâàþò íåæåëà- òåëüíîå âîçäåéñòâèå íà áèîëîãè÷åñêèå îáúåêòû, íàõîäÿùèåñÿ â çîíå âëèÿíèÿ ýòèõ ïîëåé [1, 2]. Ýòî òðåáóåò ðåøåíèÿ çàäà÷è êîíòðîëÿ ýëåêòðîìàãíèò- íîé îáñòàíîâêè â çîíàõ ýíåðãåòè÷åñêèõ è ïðîìûø- ëåííûõ îáúåêòîâ. Íåîáõîäèìîñòü ðåãëàìåíòàöèè óðîâíÿ íàïðÿæåí- íîñòè ìàãíèòíîãî ïîëÿ â îêðóæàþùåì ïðîñòðàí- ñòâå [3, 4] ñóùåñòâåííî ïîâûñèëà òðåáîâàíèÿ ê òî÷íîñòè êîíòðîëÿ ÂÌÏ èñòî÷íèêîâ, ê îöåíêå ïîãðåøíîñòè ìàãíèòîìåòðè÷åñêèõ ìåòîäîâ è ñðåäñòâ èçìåðåíèÿ ïàðàìåòðîâ ÂÌÏ òåõíè÷åñêèõ îáúåêòîâ. Íà çíà÷èòåëüíûõ ðàññòîÿíèÿõ îò èñòî÷íèêà åãî ÂÌÏ â îêðóæàþùåì ïðîñòðàíñòâå íîñèò äèïîëü- íûé õàðàêòåð. Òàêîå ïîëå ïðîïîðöèîíàëüíî ýêâè- âàëåíòíîìó äèïîëüíîìó ìîìåíòó, êîòîðûé ÿâëÿåò- ñÿ ïîñòîÿííîé âåëè÷èíîé è â îòëè÷èå îò íàïðÿæåí- íîñòè ìàãíèòíîãî ïîëÿ íå çàâèñèò îò êîîðäèíàò òî÷åê íàáëþäåíèÿ. Ýòî ïîçâîëÿåò ïî èçìåðåííûì çíà÷åíèÿì êîìïîíåíò äèïîëüíîãî ìàãíèòíîãî ìî- ìåíòà èñòî÷íèêà ëåãêî îïðåäåëèòü íàïðÿæåííîñòü äèïîëüíîé ñîñòàâëÿþùåé ìàãíèòíîãî ïîëÿ â çàäàí- íûõ òî÷êàõ âíåøíåãî ïðîñòðàíñòâà. Èçìåðåíèå êîìïîíåíò äèïîëüíîãî ìàãíèòíîãî ìîìåíòà òåõíè÷åñêîãî îáúåêòà áàçèðóåòñÿ íà ìóëü- òèïîëüíîé ìîäåëè ÂÌÏ èñòî÷íèêà. Ñîãëàñíî òà- êîé ìîäåëè ñêàëÿðíûé ìàãíèòíûé ïîòåíöèàë èñ- òî÷íèêà ïîëÿ äëÿ îáëàñòè âíåøíåãî ïðîñòðàíñòâà, ãäå ïëîòíîñòü òîêà ðàâíà íóëþ è 0 rotH  , ìîæíî àíàëèòè÷åñêè îïèñàòü ñôåðè÷åñêèì ãàðìîíè÷åñ- êèì ðÿäîì Ãàóññà â âèäå ñóììû ìóëüòèïîëåé äèïîëüíîé, êâàäðóïîëüíîé, îêòóïîëüíîé è ò.ä. ñîñòàâëÿþùèõ ìàãíèòíîãî ïîëÿ [5]: ) cos ( P ) m sin h m cos g ( R 1 4 1 U 1 n n 0 m m n nm nm 1 n             , (1) ãäå   , , R – ñôåðè÷åñêèå êîîðäèíàòû òî÷êè íàáëþäåíèÿ; nm nm h , g – ïîñòîÿííûå êîýôôèöèåí- òû ãàðìîíè÷åñêîãî ðÿäà, ðàâíûå ìóëüòèïîëüíûì ìàãíèòíûì ìîìåíòàì èñòî÷íèêà ïîëÿ; n-ïîðÿäêî- âûé íîìåð ÷ëåíà ñôåðè÷åñêîãî ðÿäà Ãàóññà; m- ïîðÿäêîâûé íîìåð ýëåìåíòàðíîãî ìóëüòèïîëÿ n-ãî ïîðÿäêà;    cos P m n – ïðèñîåäèíåííûå ïîëèíîìû Ëåæàíäðà ïåðâîãî ðîäà. Àíàëèç ðÿäà (1) ïîêàçûâàåò, ÷òî ìàãíèòíîå ïîëå èñòî÷íèêà èìååò ñëîæíûé ïðîñòðàíñòâåííî-ãàðìî- íè÷åñêèé õàðàêòåð. Ïîýòîìó çàäà÷à èçìåðåíèÿ êîýôôèöèåíòà 10 g ïåðâîé ãàðìîíèêè, ðàâíîãî îñåâîìó äèïîëüíîìó ìîìåíòó z M èñòî÷íèêà ïîëÿ, ñâîäèòñÿ ê èçáèðàòåëüíîìó âûäåëåíèþ èç ïîëíîãî ñïåêòðà ìóëüòèïîëåé ÂÌÏ äèïîëüíîé ïîñòîÿííîé ñîñòàâëÿþùåé, íå çàâèñÿùåé îò óãëîâîé êîîðäèíà- òû ,  è èçìåðåíèþ ïàðàìåòðîâ ïîëÿ çîíàëüíîé ãàðìîíèêè äèïîëüíîé ñîñòàâëÿþùåé ) 0 m , 1 n (   . Öåëü èññëåäîâàíèÿ - îïðåäåëåíèå îñíîâíûõ ìåòðî- ëîãè÷åñêèõ õàðàêòåðèñòèê ìîäóëüíîé èçìåðèòåëü- íîé ñèñòåìû, ðåàëèçóþùåé ÷åòûðåõòî÷å÷íûé ìàã- íèòîìåòðè÷åñêèé ìåòîä êîíòðîëÿ îñåâîãî äèïîëü- íîãî ìàãíèòíîãî ìîìåíòà èñòî÷íèêîâ ìàãíèòíîãî ïîëÿ, ê êîòîðûì ïðåäúÿâëÿþòñÿ òðåáîâàíèÿ ïî îãðàíè÷åíèþ óðîâíÿ íàïðÿæåííîñòè ìàãíèòíîãî ïîëÿ âî âíåøíåì ïðîñòðàíñòâå. Äëÿ äîñòèæåíèÿ ïîñòàâëåííîé öåëè íåîáõîäèìî ðåøèòü ñëåäóþùóþ çàäà÷ó: ðàçðàáîòàòü ìàòåìàòè- ÷åñêèå ìîäåëè ïîëåçíîãî ñèãíàëà, ðåçóëüòèðóþùåé ìóëüòèïîëüíîé ïîãðåøíîñòè è åå íàèáîëåå âåñî- ìûõ ñîñòàâëÿþùèõ, îáóñëîâëåííûõ ïîìåõîíåñó- ùèìè ìóëüòèïîëÿìè ïðîñòðàíñòâåííûõ ãàðìîíèê ÂÌÏ. 2. Ðåøåíèå çàäà÷è Ðàññìîòðèì ÷åòûðåõòî÷å÷íûé ìåòîä êîíòðîëÿ îñå- âîãî äèïîëüíîãî ìàãíèòíîãî ìîìåíòà èñòî÷íèêîâ ÂÌÏ, êîòîðûé ðåàëèçóåòñÿ èçìåðèòåëüíîé ñèñòå- ìîé â âèäå ìîäóëÿ èç ÷åòûðåõ îñåâûõ äàò÷èêîâ. Äàò÷èêè ýòîé ñèñòåìû ðàñïîëîæåíû âîêðóã èñïû- òóåìîãî èñòî÷íèêà ïîëÿ â ýêâàòîðèàëüíîé ïëîñêî- ñòè ) 90 (    íà îêðóæíîñòè ðàäèóñà R â òî÷êàõ ñ óãëîâîé êîîðäèíàòîé  90 ) 1 k ( k    , ãäå k=1...4 - íîìåð îñåâîãî äàò÷èêà, îðèåíòèðîâàííîãî ñâîèìè ìàãíèòíûìè îñÿìè ïàðàëëåëüíî ïîëÿðíîé îñè Z ïðèíÿòîé ñèñòåìû êîîðäèíàò, íà÷àëî êîòîðîé ñâÿ- çàíî ñ èçìåðÿåìûì èñòî÷íèêîì ïîëÿ. 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(2) Äëÿ óïðîùåíèÿ àíàëèçà çàïèøåì ðÿä  H (2) â ðàçâåðíóòîì âèäå, îãðàíè÷èâ åãî ãàðìîíèêîé n=5:                                  50 7 43 43 41 41 6 32 32 30 5 21 21 4 10 3 g 8 1 [ R 4 15 )] 3 sin h 3 cos g ( 7 ) sin h cos g ( 2 1 [ R 4 1 )] 2 sin h 2 cos g ( 15 g 2 3 [ R 4 1 ) sin h cos g ( 3 R 4 1 g R 4 1 ) 90 ( H       ) 2 sin h 2 cos g ( 2 7 52 52 ... )] 4 sin h 4 cos g ( 63 54 54      (3) Êàòóøêè ÷åòûðåõ äàò÷èêîâ ìîäóëüíîé èçìåðè- òåëüíîé ñèñòåìû ýëåêòðè÷åñêè ñîåäèíåíû ïî ïî- ëåçíîìó ñèãíàëó ìàãíèòíîãî ïîëÿ çîíàëüíîé ãàð- ìîíèêè äèïîëüíîé ïîñòîÿííîé ñîñòàâëÿþùåé. Ïîýòîìó ðåçóëüòèðóþùèé ýëåêòðè÷åñêèé ñèãíàë ðàâåí ñóììå ñèãíàëîâ, íàâåäåííûõ îñåâîé êîìïî- íåíòîé íàïðÿæåííîñòè ïîëÿ  H ) 90 (    â ýòèõ êàòóøêàõ:        4 1 k k k f z ) , 90 ( H k 1 E  , (4) ãäå f k , ìÝ/ì - ïîñòîÿííàÿ êàòóøåê äàò÷èêîâ. Ïîñëå ïîäñòàíîâêè îñåâîé êîìïîíåíòû íàïðÿæåí- íîñòè ìàãíèòíîãî ïîëÿ (3) ñ ó÷åòîì çíà÷åíèé óãëîâîé êîîðäèíàòû k  â óðàâíåíèå (4) ïîëó÷èì ðåçóëüòèðóþùèé ñèãíàë â âèäå ñóììû ñèãíàëîâ îò ìóëüòèïîëåé ÂÌÏ íå÷åòíîãî ïîðÿäêà:    5 f 30 3 f 10 z R k / g 6 R k / g 4 E ..., E E E ... R k 2 / g 15 5 z 3 z 1 z 7 f 50       (5) ãäå 3 f 10 1 z R k / g 4 E  – ïîëåçíûé ñèãíàë, ïðîïîðöè- îíàëüíûé êîýôôèöèåíòó 10 g çîíàëüíîé ãàðìîíè- êè äèïîëüíîé ïîñòîÿííîé ñîñòàâëÿþùåé ìàãíèò- íîãî ïîëÿ; 5 f 30 3 z R k / g 6 E   – ñèãíàë ïîìåõè, ïðîïîðöèîíàëüíûé êîýôôèöèåíòó 30 g çîíàëüíîé ãàðìîíèêè îêòóïîëüíîé ñîñòàâëÿþùåé ìàãíèòíî- ãî ïîëÿ îáúåêòà (n=3); 7 f 50 5 z R k 2 / g 15 E  – ñèãíàë ïîìåõè, ñîçäàâàåìûé ãàðìîíèêîé ïÿòîãî ïîðÿäêà. Àíàëèç óðàâíåíèÿ (5) ïîêàçûâàåò, ÷òî â èçìåðÿå- ìîì ýëåêòðè÷åñêîì ñèãíàëå z E îòñóòñòâóþò ñèãíà- ëû ïîìåõ îò ïðîñòðàíñòâåííûõ ãàðìîíèê ÂÌÏ ÷åòíîãî ïîðÿäêà, ÷òî ïîäòâåðæäàåò èçáèðàòåëü- íîñòü ðàññìàòðèâàåìîé ìàãíèòîìåòðè÷åñêîé ñèñòå- ìû äàò÷èêîâ, êîòîðàÿ îñóùåñòâëÿåòñÿ ñ òî÷íîñòüþ äî ïîìåõîíåñóùåãî ìóëüòèïîëÿ òðåòüåãî ïîðÿäêà. Òàêèì îáðàçîì, ñèãíàë z E (5) èçìåðÿåòñÿ ñ ïîãðåø- íîñòüþ, îáóñëîâëåííîé ïîìåõîíåñóùèìè íå÷åòíû- ìè ãàðìîíèêàìè ÂÌÏ âûñøåãî ïîðÿäêà, íà÷èíàÿ ñ ãàðìîíèêè n=3. Ñîãëàñíî (5) ÷óâñòâèòåëüíîñòü ìàãíèòîìåòðè÷åñ- êîé ñèñòåìû îñåâûõ äàò÷èêîâ ê íàïðÿæåííîñòè ìàãíèòíîãî ïîëÿ çîíàëüíîé ãàðìîíèêè äèïîëüíîé ñîñòàâëÿþùåé ðàâíà f z k / 4 S  , à çíà÷åíèå îñåâîãî äèïîëüíîãî ìîìåíòà îïðåäåëÿåòñÿ âûðàæåíèåì . R k E 4 1 M g 3 f z z 10   Î÷åâèäíî, ÷òî ìóëüòèïîëüíàÿ ñîñòàâëÿþùàÿ ìåòî- äè÷åñêîé ïîãðåøíîñòè èçìåðåíèÿ, îáóñëîâëåííàÿ ïðîñòðàíñòâåííûìè ãàðìîíèêàìè ÂÌÏ íå÷åòíîãî ïîðÿäêà, ñîçäàåòñÿ â îñíîâíîì ìóëüòèïîëÿìè ïî- ìåõîíåñóùèõ ãàðìîíèê, êîòîðûå èìåþò íàèìåíü- øóþ ñòåïåíü ñïàäàíèÿ íàïðÿæåííîñòè ìàãíèòíîãî ïîëÿ ïî ñðàâíåíèþ ñ íàïðÿæåííîñòüþ ïîëÿ ãàðìî- íèê áîëåå âûñîêèõ ïîðÿäêîâ. Îöåíèì âåñ òðåòüåé è ïÿòîé ãàðìîíèê â ðåçóëüòè- ðóþùåé ïîìåõå, îáðàçîâàííîé â ìîäóëüíîé ìàãíè- òîìåòðè÷åñêîé ñèñòåìå èçìåðèòåëüíûõ äàò÷èêîâ. Äëÿ ýòîãî îïðåäåëèì òî÷íîå çíà÷åíèå îñåâîé êîì- ïîíåíòû íàïðÿæåííîñòè ìàãíèòíîãî ïîëÿ èñòî÷- íèêà, çàòåì çíà÷åíèå ðåçóëüòèðóþùåé ïîìåõè è, â êîíå÷íîì ñ÷åòå, ïîãðåøíîñòü èçìåðåíèÿ äèïîëü- íîãî ìîìåíòà z M , ðàñïîëîæåííîãî íà ïîëÿðíîé îñè ñî ñìåùåíèåì íà 0 z îòíîñèòåëüíî íà÷àëà êîîðäèíàò. Çà ñ÷åò ýêñöåíòðè÷íîñòè îñåâîãî äè- ïîëüíîãî ìîìåíòà èñòî÷íèêà ñîçäàåòñÿ ïîëíûé ñïåêòð ïðîñòðàíñòâåííûõ ãàðìîíèê, ìàòåìàòè÷åñ- êè îïèñûâàåìûõ ñôåðè÷åñêèì ãàðìîíè÷åñêèì ðÿ- äîì (1). Òî÷íîå çíà÷åíèå ñêàëÿðíîãî ìàãíèòíîãî ïîòåíöèàëà òàêîãî èñòî÷íèêà ïîëÿ ðàâíî 2 / 3 2 0 2 2 0 z z ] ) z z ( y x [ 4 ) z z ( M U       , ãäå x, y, z – òåêóùèå êîîðäèíàòû òî÷êè íàáëþäå- íèÿ: . cos R z , sin sin R y , sin cos R x         Òîãäà îñåâàÿ ñîñòàâëÿþùàÿ íàïðÿæåííîñòè ìàã- íèòíîãî ïîëÿ â ýòîì ñëó÷àå îïèñûâàåòñÿ â ýêâàòî- ðèàëüíîé ïëîñêîñòè, â êîòîðîé ðàñïîëîæåíà ñèñòå- ìà èçìåðèòåëüíûõ äàò÷èêîâ, óðàâíåíèåì 2 / 5 2 0 2 2 0 2 z ' ) z R ( 4 ) z 2 R ( M ) 90 ( H         . Ýòà ñîñòàâëÿþùàÿ ìàãíèòíîãî ïîëÿ âîçäåéñòâóåò íà ìàãíèòíûå îñè êàòóøåê äàò÷èêîâ è íàâîäèò â íèõ ýëåêòðè÷åñêèé ñèãíàë f ' ' z k / ) 90 ( H 4 E      . (6) Èç ðàâåíñòâà ýëåêòðè÷åñêèõ ñèãíàëîâ z E (5) è ' z E (6) íàõîäèì ðåçóëüòèðóþùóþ ïîìåõó, ðàâíóþ àá- ñîëþòíîé ïîãðåøíîñòè, êîòîðàÿ ñîçäàåòñÿ ïîëíûì ñïåêòðîì ïîìåõîíåñóùèõ ãàðìîíèê ÂÌÏ íå÷åòíî- ãî ïîðÿäêà (n=3,5,7...): Qx tU}! 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Z,,M%7 ÐÈ, 2005, ¹ 2 ÓÄÊ 621.385.6 Î ÊÎËÅÁÀÍÈßÕ ÇÀÌÊÍÓÒÎÃÎ ÝËÅÊÒÐÎÍÍÎÃÎ ÏÎÒÎÊÀ  ÑÊÐÅÙÅÍÍÛÕ ÏÎËßÕ ÃÐÈÖÓÍΠÀ.Â. Ïðè ïîìîùè âû÷èñëèòåëüíîãî ýêñïåðèìåíòà èçó÷à- þòñÿ êîëåáàíèÿ çàìêíóòîãî â àçèìóòàëüíîì íàïðàâ- ëåíèè ýëåêòðîííîãî ïîòîêà âáëèçè ðàñïðåäåëåííîé ýìèòòèðóþùåé ïîâåðõíîñòè â ñêðåùåííûõ ïîëÿõ. Îíè ÿâëÿþòñÿ îñíîâíûìè ïðè÷èíàìè øóìîâ â ñòàòè÷åñ- êîì è äèíàìè÷åñêîì ðåæèìàõ ÑÂ×-ïðèáîðîâ Ì-òèïà.  ñòàòè÷åñêîì ðåæèìå âûäåëÿþòñÿ: ñîáñòâåííûå òàí- ãåíöèàëüíûå êîëåáàíèÿ ýëåêòðîííîãî îáëàêà; âòî- ðè÷íî-ýìèññèîííàÿ ãðóïïèðîâêà âòóëêè; ñîëèòîíû â ýëåêòðîííîì ïîòîêå.  äèíàìè÷åñêîì ðåæèìå ýòî òðàíçèòíûå è óñòîé÷èâûå êîíâåêòèâíûå îáëàêà â ýëåê- òðîííûõ ñïèöàõ. Èññëåäóåòñÿ âëèÿíèå óêàçàííûõ íåóñ- òîé÷èâîñòåé íà ñïåêòð êîëåáàíèé ýëåêòðîííîãî ïîòî- êà â ïðèáîðàõ ñî ñêðåùåííûìè ïîëÿìè. 1. Ââåäåíèå Àêòóàëüíîé ïðîáëåìîé ñîâðåìåííîé ðàäèîôèçèêè è ôèçè÷åñêîé ýëåêòðîíèêè ÿâëÿåòñÿ îáåñïå÷åíèå ýëåêòðîìàãíèòíîé ñîâìåñòèìîñòè (ÝÌÑ) ðàäèî- ýëåêòðîííûõ ñèñòåì. Ýòî ñâÿçàíî ñ ðàçâèòèåì ðàäèîëîêàöèîííîé òåõíèêè, ÑÂ×-ýíåðãåòèêè, ñðåäñòâ òåëåêîììóíèêàöèé (â òîì ÷èñëå ìîáèëü- íûõ), óâåëè÷åíèåì ñêîðîñòè ïåðåäà÷è äàííûõ â íèõ è ïåðåõîäîì íà öèôðîâûå ñòàíäàðòû îáìåíà èí- ôîðìàöèåé. Ââèäó çíà÷èòåëüíîñòè ýíåðãåòè÷åñêî- ãî ïîòåíöèàëà ðàäèîëîêàöèîííûõ è òåõíîëîãè÷åñ- êèõ ÑÂ×-óñòàíîâîê âàæíîé çàäà÷åé ÿâëÿåòñÿ óìåíü- øåíèå óðîâíÿ øóìîâûõ è ïîáî÷íûõ êîëåáàíèé àêòèâíûõ ýëåìåíòîâ, ñðåäè êîòîðûõ çíà÷èòåëüíóþ ÷àñòü ñîñòàâëÿþò ïðèáîðû Ì-òèïà. Èññëåäîâàíèå ïðè÷èí, âûçûâàþùèõ óõóäøåíèå ñïåêòðà âûõîäíîãî ñèãíàëà ìàãíåòðîííûõ ïðèáî- ðîâ, ÿâëÿåòñÿ òåìàòèêîé ìíîãî÷èñëåííûõ ïóáëèêà- öèé (îáçîð ëèòåðàòóðû ïî äàííîé òåìå èìååòñÿ, íàïðèìåð, â ðàáîòå [1]). Íåñìîòðÿ íà ýòî, íåêîòîðûå «ýëåìåíòàðíûå» è â òî æå âðåìÿ ôóíäàìåíòàëüíûå âîïðîñû, íàïðèìåð, îñîáåííîñòè ïîâåäåíèÿ ìàã- íåòðîííîãî äèîäà â çàêðèòè÷åñêîì ðåæèìå (â ÷àñòíîñòè, ìåõàíèçì âîçíèêíîâåíèÿ àíîäíîãî òîêà â äàííûõ óñëîâèÿõ) îñòàâàëèñü íåîáúÿñíåííûìè äî ñåðåäèíû 1960-õ ãîäîâ. Çàòåì îíè áûëè ÷àñòè÷íî èñòîëêîâàíû â õîäå ÷èñëåííûõ ýêñïåðèìåíòîâ, îäíàêî áîëüøèíñòâî äàííûõ ÿâëåíèé ïî-ïðåæíåìó íå íàõîäèëî àäåêâàòíîãî îáúÿñíåíèÿ. Ïðè÷èíà çàêëþ÷àëàñü â íåñîîòâåòñòâèè ïåðâûõ ìîäåëåé ÷àñòèö ôèçè÷åñêèì ïðîöåññàì, ïðîèñõîäÿùèì â ìàãíåòðîííûõ äèîäàõ. Ïðè àíàëèçå òîëüêî ðàáî÷åãî âèäà êîëåáàíèé çà- ìåäëÿþùåé ñèñòåìû (ÇÑ) ïðèáîðà Ì-òèïà ìîæíî ïðåäïîëîæèòü, ÷òî ýëåêòðîííûé ïîòîê èìååò ïðî- äîëüíóþ èëè àçèìóòàëüíóþ ïåðèîäè÷íîñòü (êâàçè- ïåðèîäè÷íîñòü), ñîâïàäàþùóþ ñ ñîîòâåòñòâóþùèì ïåðèîäîì ñèíõðîííîé ïðîñòðàíñòâåííîé ãàðìîíè- êè Â×-ïîëÿ ÇÑ. Íàïðîòèâ, ïðè èññëåäîâàíèè øóìîâ è ïîáî÷íûõ êîëåáàíèé àçèìóòàëüíûé ïåðè- îä çàìêíóòîãî ýëåêòðîííîãî îáëàêà äîëæåí áðàòüñÿ ðàâíûì 2  . Ïîýòîìó ìîäåëè, îñíîâàííûå íà ñàìî- ñîãëàñîâàííîì ó÷åòå ïðîöåññîâ âçàèìîäåéñòâèÿ â ïðåäåëàõ îäíîé äëèíû âîëíû ÇÑ, êàê ñòàöèîíàð- íûå, òàê è íåñòàöèîíàðíûå, íå â ñîñòîÿíèè àäåê- âàòíî ïðîãíîçèðîâàòü ïîâåäåíèå ïîòîêà ïðè íàëè- ÷èè íåñêîëüêèõ âèäîâ êîëåáàíèé. Ñèòóàöèÿ èçìåíèëàñü ëèøü â íà÷àëå 1980-õ ãîäîâ, êîãäà áûëè ðàçðàáîòàíû ïåðâûå ïðîãðàììû äëÿ ïîëíîôîðìàòíîãî íåñòàöèîíàðíîãî ìîäåëèðîâàíèÿ ïðîöåññîâ â ñêðåùåííûõ ïîëÿõ ìåòîäîì ÷àñòèö [2– 4]. Ïîÿâèëàñü âîçìîæíîñòü êîððåêòíî ìîäåëèðî- âàòü äèíàìèêó ðàçâèòèÿ ðàçíîîáðàçíûõ êîëåáàíèé ýëåêòðîííîãî îáëàêà â ìàãíåòðîííûõ ïðèáîðàõ ñ ðàñïðåäåëåííûì êàòîäîì è âûÿñíèòü ìåõàíèçìû èõ âîçíèêíîâåíèÿ.  ðåçóëüòàòå íà ñåãîäíÿøíèé äåíü óñòàíîâëåíî è êëàññèôèöèðîâàíî òðè âèäà íåóñòîé÷èâîñòåé âòóëêè, à òàêæå äâà âèäà íåóñòîé- ÷èâîñòåé ñïèö [5, 6]. Öåëüþ äàííîãî èññëåäîâàíèÿ ÿâëÿåòñÿ êîìïëåêñ- íîå èçó÷åíèå êîëåáàòåëüíûõ ÿâëåíèé â ýëåêòðîí- íîì îáëàêå â ñêðåùåííûõ ïîëÿõ ìåòîäîì âû÷èñëè- òåëüíîãî ýêñïåðèìåíòà ñ èñïîëüçîâàíèåì ñïåêò- ðàëüíîãî ïîäõîäà [7], âêëþ÷àþùåå àíàëèç ôîðìû îáëàêà, ñïåêòðîâ êîëåáàíèé è ôèçè÷åñêóþ èíòåð- ïðåòàöèþ ðåçóëüòàòîâ. Îñíîâíûå çàäà÷è èññëåäîâàíèÿ: – òåîðåòè÷åñêîå èçó÷åíèå äèíàìè÷åñêèõ ÿâëåíèé â çàìêíóòîì ýëåêòðîííîì ïîòîêå â ñêðåùåííûõ ïîëÿõ ïðè îòñóòñòâèè ñîëåíîèäàëüíîãî ýëåêòðî- ìàãíèòíîãî ïîëÿ ÇÑ (ñòàòè÷åñêèé ðåæèì) äëÿ âûÿâëåíèÿ ïðè÷èí, âûçûâàþùèõ ïîâûøåííûé óðîâåíü øóìîâ è ïîáî÷íûõ êîëåáàíèé â ýòîì ðåæèìå; – àíàëèç êîëåáàòåëüíûõ ïðîöåññîâ ïðè âçàèìîäåé- ñòâèè çàìêíóòîãî ýëåêòðîííîãî ïîòîêà â ñêðåùåí- íûõ ïîëÿõ ñ ñîëåíîèäàëüíûì ýëåêòðîìàãíèòíûì ïîëåì ÇÑ (äèíàìè÷åñêèé ðåæèì) äëÿ âûÿñíåíèÿ âëèÿíèÿ òóðáóëåíòíîñòåé îáúåìíîãî çàðÿäà íà ñïåêòð âûõîäíîãî ñèãíàëà. 2. Ñòàòè÷åñêèé ðåæèì ýëåêòðîííîãî îáëàêà Ñòàòè÷åñêèé ðåæèì ïðèáîðîâ Ì-òèïà íà ïðîòÿæå- íèè âîñüìè äåñÿòèëåòèé ïðèâëåêàåò âíèìàíèå êàê ôèçèêîâ, òàê è ñïåöèàëèñòîâ â îáëàñòè ýëåêòðîíè- êè, òåîðåòèêîâ è ýêñïåðèìåíòàòîðîâ. Îäíà èç ïðè÷èí òàêîãî èíòåðåñà çàêëþ÷àåòñÿ â òîì, ÷òî çà âíåøíåé ïðîñòîòîé êîíñòðóêöèè ìàãíåòðîííîãî äèîäà êðîåòñÿ èñêëþ÷èòåëüíàÿ ñëîæíîñòü è ìíîãî- îáðàçèå ÿâëåíèé, êîòîðûå ìîãóò â íåì ïðîòåêàòü. Äðóãàÿ ïðè÷èíà ñîñòîèò â âàæíîñòè ðåçóëüòàòîâ èññëåäîâàíèé äëÿ ïðàêòèêè, ïîñêîëüêó áîëüøèå ïðèíöèïèàëüíî äîñòèæèìûå çíà÷åíèÿ ïåðâåàíñà çàðÿæåííûõ ïó÷êîâ â ñêðåùåííûõ ïîëÿõ îáóñëîâ- ëèâàþò øèðîêîå ïðèìåíåíèå ìàãíåòðîííûõ ñèñòåì íå òîëüêî â ýëåêòðîíèêå ÑÂ×, íî è â óñêîðèòåëü- íîé òåõíèêå (ìàãíåòðîííûå èíæåêòîðû), òåõíîëî- ãè÷åñêèõ ïðîöåññàõ (ìàãíåòðîííûå ðàñïûëèòåëü- íûå ñèñòåìû) è  ò.ï. 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{_ X]%m]>(#hlxsޏbƊ9fS6߂9Om,`Gp.6y Gs2Ex^ڹ;>j~0f˙ ƍpQ]QHYm c>TЁ7 y>D!C46|(h}o;Oó3'!dd= !óL4a*b/-˓r1"ucLYY 88~(ǫk' ~q ϩ ~Oj8UAp3'BHÚ" ,+)dzD:F(r(GvOn:eWC '&^#|y oNgpU#M= hqe:77  &s%NY|my0VK9/7 ,}Dz`,Dp_*5 pxǍs:0 s?p=]B }``ƼiAH2SƝ|Hy(K=Bo=A9ˌ>ːƂ)/vxT.U^8#(6'= s?cZG_':f\+eE7yb~ڥ`m:=/,tH~C+Nտ5\[CAQ9L,'x=Bp˼䃁q \,F[X9 !䶈˜剗ENb/we罂̻Kd]v%J3Y&F\Q|/.qڅg$Nԧc9P8u6{Ԛ̶rJHf1;Exlzb>S;`xs`B搊<ﱊ'"m^$)e刣Ik2|%LEƒ2[0J*-om=yTzgO`mq5*_Cʁ7+{i y +0IE |#hcAubu"s1;A"[+s&yQ8~S节k,\aR.V\/s5`5F.M3ysqOy@e4>]>|u{ x]9EF{ l16pU2K2n=?lBq !0!>zo0w`촱=- <]@Hٲ[YO ޞn.R^8KY# Wf(.;Ӳ9罌u8וKeL m7b5t9x(7|èv=|.)ݛgT>Dq_*:@{>Ȍawuz@mozwy,HKp|<$m͍ʋ=m,Wͭۙټ?81whZ6GcȜ/!uq]M>|=hoxiRc;^/Q^x.[]{zz߳<Q=v"ĸf*l;cg2Wxq@Ȉ<)匟oK=݆a 48au[o/UE8~By^H&v\G΢} c87( l)_i˄8uNJʢRofrx3Te{,agoxlՂmXO!R+ؼl0B_otB>Q. F+@.C[g/4(C_2Ef WGsxzl_OC@tF{779k+y;{*)3{c?ݑw\";Q{7M a{ $PvYH'!dcCEkp|Jw/0pC-z>L.:#5OmDŽ.Z1"e'6>6<μ\ɣy0❨ESy0%t?DgAa?_?ϫ;ڟ6˞2^#{<>eȣi`?zoG=ʃu8367K~*b ƚofzxǩNKaY7؇e'7ox#̛3#=7X91#t' H<s*nQ,UU oVNP" *ayA_r^>SX+5r?n2cj\2[MϴkiezKE#:S%c;$^w+/Iv OJ''؄pF WW<9ߍ q070g,|2zt9Lj@>VR?wy/MY|`>r@w*_2@>$k~N R7:{ À.b#+Oc|4L#~J'gx MHt2]g^82ﶨCeSa[oīOe0/tĺV!1Ŀжq#4>`8N{ml;KaS}W身?\S>*{*kb3N:6`N|5ᙖ;[3Ɩ͙̍ rh<>y{SX_Bmq\OYU||?M❨sDoSL,@y~W43ֺe26)dk:H,l^1'OD|eҲ:a( e lC:1QUcB{,+ě#1EwٿnݭZQN[ =90f9ϳ̕2 OO@'N8Qr<|AƩ,m._S,,c"8 ÐÈ, 2005, ¹ 2 ïðîèçîøëî âîçáóæäåíèå êîëåáàíèé (èìåë ìåñòî ïðîïóñê èìïóëüñà), ñ òî÷êè çðåíèÿ ôèçè÷åñêèõ ïðîöåññîâ â ýëåêòðîííîì ïîòîêå ïðàêòè÷åñêè íå îòëè÷àåòñÿ îò ìàãíåòðîííîãî äèîäà. Õîòÿ îáðàçóþ- ùèåñÿ âñëåäñòâèå ñàìîãðóïïèðîâêè ñãóñòêè ýëåê- òðîííîãî ïîòîêà îáû÷íî íå ñèíõðîííû ñ íàâîäè- ìîé èìè âîëíîé â ÇÑ, íåîäíîðîäíàÿ â àçèìóòàëü- íîì íàïðàâëåíèè âòóëêà ìîæåò ÿâëÿòüñÿ ìîùíûì ãåíåðàòîðîì øóìîâ. Ìíîãî÷èñëåííûå ýêñïåðèìåíòàëüíûå ðàáîòû 1950- 1970-õ ãîäîâ ïî èññëåäîâàíèþ øóìîâ â ìàãíåòðî- íàõ âûÿâèëè îñíîâíûå çàêîíîìåðíîñòè ÿâëåíèé, èìåþùèõ ìåñòî â ñòàòè÷åñêîé âòóëêå îáúåìíîãî çàðÿäà â ñêðåùåííûõ ïîëÿõ: – ìàãíåòðîííûé äèîä â çàêðèòè÷åñêîì ðåæèìå îáû÷íî íàõîäèòñÿ â êîëåáàòåëüíîì ñîñòîÿíèè. Ñïåêòð ýòèõ êîëåáàíèé èìååò áîëåå èëè ìåíåå ÷åòêî âûðàæåííûå ïèêè (ìàêñèìóìû) íà äèñêðåò- íûõ ÷àñòîòàõ h  . Äàííûå ÷àñòîòû äîñòàòî÷íî õîðîøî îïèñûâàþòñÿ ôîðìóëîé Õàðòðè-Áàíåìàíà [8]: 2 ext 1 h 2 2 2 2 2 exta 1 22 22 Bh r 1 2 r Bh2h r 1, 2 rr                  (1) ãäå h – íîìåð ïèêà;  – îòíîøåíèå çàðÿäà ýëåêòðîíà ê åãî ìàññå; 1 r – ðàäèóñ êàòîäà; 2 r – ðàäèóñ àíîäà; ext B – èíäóêöèÿ âíåøíåãî ìàãíèò- íîãî ïîëÿ; a  – àíîäíîå íàïðÿæåíèå; – âî ìíîãèõ ñëó÷àÿõ ÷àñòîòû ïèêîâ êðàòíû íåêî- òîðîé îñíîâíîé ÷àñòîòå 1  , ò.å. h ÿâëÿåòñÿ öåëûì ïîëîæèòåëüíûì ÷èñëîì. Îäíàêî èíîãäà ýòî ïðàâè- ëî íå âûïîëíÿåòñÿ, ò.å. ÷àñòîòû ñïåêòðàëüíûõ ìàêñèìóìîâ âûðàæàþòñÿ íåöåëûìè ÷èñëàìè h . Íàèáîëüøàÿ àìïëèòóäà ïèêîâ îáû÷íî èìååò ìåñòî ïðè h  = 3 … 5; – âîëüòàìïåðíàÿ õàðàêòåðèñòèêà (ÂÀÕ) ìàãíåòðîí- íîãî äèîäà â çàêðèòè÷åñêîì ðåæèìå òàêæå ÷àñòî (íî íå âñåãäà) èìååò íåìîíîòîííûé õàðàêòåð, ò.å. íà- áëþäàåòñÿ ðÿä ïèêîâ àíîäíîãî òîêà ïðè óâåëè÷å- íèè àíîäíîãî íàïðÿæåíèÿ. Ïèêàì àíîäíîãî òîêà îáû÷íî ñîîòâåòñòâóþò ìàêñèìóìû âûñîêî÷àñòîò- íûõ øóìîâ; – â ðÿäå ñëó÷àåâ èçìåíåíèå òåìïåðàòóðû êàòîäà ñóùåñòâåííî âëèÿåò íà ïðîöåññû â îáëàêå îáúåìíî- ãî çàðÿäà. Èíîãäà íàáëþäàþòñÿ äâà ðåçêî îòëè÷à- þùèõñÿ êîëåáàòåëüíûõ ñîñòîÿíèÿ. Ïðè ìàëîé òåì- ïåðàòóðå òèïè÷íî ñîñòîÿíèå ïî÷òè ìîíîõðîìàòè- ÷åñêèõ êîëåáàíèé ñ óçêèìè ñïåêòðàëüíûìè ïèêà- ìè. Ñ óâåëè÷åíèåì òåìïåðàòóðû ìîùíîñòü âûñîêî- ÷àñòîòíîãî ñèãíàëà íà âûõîäå çîíäà ñêà÷êîîáðàçíî óìåíüøàåòñÿ ïðèìåðíî íà ïîðÿäîê, è ïðîèñõîäèò ïåðåõîä ê øóìîâîìó ðåæèìó äèîäà ñ øèðîêèì ñïåêòðîì êîëåáàíèé; – â ýëåêòðîííîì îáëàêå èìååòñÿ çíà÷èòåëüíîå ÷èñëî ýëåêòðîíîâ ñ ýíåðãèåé, ñóùåñòâåííî ïðåâû- øàþùåé èõ íà÷àëüíóþ ýíåðãèþ â ìîìåíò ýìèññèè èç êàòîäà; – â ðåæèìå áîëüøèõ âíåøíèõ ìàãíèòíûõ ïîëåé è àíîäíûõ íàïðÿæåíèé â ìàãíåòðîííîì äèîäå íà- áëþäàåòñÿ ðåçêîå óâåëè÷åíèå ýìèññèè èç êàòîäà, âåðîÿòíî, âñëåäñòâèå âîçðàñòàíèÿ âòîðè÷íîé ýìèñ- ñèè; – ïðè ïåðåõîäå îò ñòàòè÷åñêîãî ê äèíàìè÷åñêîìó ðåæèìó ìîùíîñòü îáðàòíîé áîìáàðäèðîâêè êàòîäà ïàäàåò â íåñêîëüêî ðàç; – â ìàãíåòðîííîì äèîäå çíà÷èòåëüíàÿ ÷àñòü îáúåì- íîãî çàðÿäà âðàùàåòñÿ íà ðàäèóñàõ, ïðåâûøàþùèõ ðàäèóñ ãðàíèöû áðèëëþýíîâñêîé âòóëêè. Ýòà ÷àñòü îáðàçóåò íåîäíîðîäíûé â àçèìóòàëüíîì íàïðàâëå- íèè ýëåêòðîííûé ïîòîê, íàïîäîáèå ñïèö, èìåþ- ùèõ ìåñòî â äèíàìè÷åñêîì ðåæèìå ïðèáîðîâ Ì- òèïà.  áîëåå ïîçäíèõ ýêñïåðèìåíòàëüíûõ ðàáîòàõ (ñì., íàïðèìåð, [9]) èçó÷åíû ñïåêòðàëüíûå õàðàêòåðèñ- òèêè øóìîâ â ìàãíåòðîííîì äèîäå. Íà ñïåêòðî- ãðàììå ïðîñëåæèâàåòñÿ ìíîæåñòâî (íå ìåíåå äåñÿ- òè) ÷åòêî âûðàæåííûõ ãàðìîíèê íåêîòîðîé îñíîâ- íîé ÷àñòîòû, ðàâíîé ïðèìåðíî 90 ÌÃö. Íàèáîëü- øóþ àìïëèòóäó èìååò âòîðàÿ ãàðìîíèêà, îäíàêî îñòàëüíûå ãàðìîíèêè ìåíüøå åå ëèøü íà 15 … 20 äÁ. Îòìå÷åíî, ÷òî ïðè óìåíüøåíèè òåìïåðàòóðû êàòî- äà óðîâåíü øóìîâ ñíèæàåòñÿ, ò.å. øóìû âîçíèêàþò ãëàâíûì îáðàçîì ïðè îãðàíè÷åíèè òîêà êàòîäà îáúåìíûì çàðÿäîì. Îïèñàííûå ðåçóëüòàòû ïðåäîñòàâëÿþò øèðîêóþ ýêñïåðèìåíòàëüíóþ áàçó äëÿ òåîðåòè÷åñêèõ îáîá- ùåíèé è ÷èñëåííîãî ìîäåëèðîâàíèÿ.  ÷àñòíîñòè, èç íèõ ñòàíîâèòñÿ ïîíÿòíûì, ÷òî îáúÿñíèòü âñå ìíîãîîáðàçèå íàáëþäàþùèõñÿ øóìîâûõ è êîëåáà- òåëüíûõ ÿâëåíèé â ðàìêàõ êàêîãî-ëèáî îäíîãî âèäà íåóñòîé÷èâîñòè ýëåêòðîííîãî ïîòîêà âðÿä ëè âîçìîæíî. Îñíîâûâàÿñü íà ðåçóëüòàòàõ âû÷èñëè- òåëüíûõ ýêñïåðèìåíòîâ, ìîæíî âûäåëèòü òðè îñ- íîâíûõ ìåõàíèçìà ñàìîãðóïïèðîâêè çàìêíóòîãî ýëåêòðîííîãî îáëàêà âáëèçè ðàñïðåäåëåííîãî êàòî- äà â ñêðåùåííûõ ïîëÿõ [5]: – ñîáñòâåííûå òàíãåíöèàëüíûå (àçèìóòàëüíûå) êîëåáàíèÿ ýëåêòðîííîãî îáëàêà; – âòîðè÷íî-ýìèññèîííàÿ ãðóïïèðîâêà âòóëêè; – ñîëèòîíû â ýëåêòðîííîì ïîòîêå. Ðàññìîòðèì ïåðå÷èñëåííûå ÿâëåíèÿ áîëåå ïîäðîá- íî. Òàíãåíöèàëüíûå êîëåáàíèÿ. Ñîãëàñíî ðàííèì òåîðå- òè÷åñêèì ðàáîòàì [10], â êîòîðûõ äåëàëèñü ïîïûò- êè àíàëèòè÷åñêè îáúÿñíèòü îïèñàííûå âûøå «àíîìàëüíûå» ÿâëåíèÿ â çàêðèòè÷åñêîì ðåæèìå ìàãíåòðîííîãî äèîäà, â íåì ìîãóò ñóùåñòâîâàòü äâà âèäà êîëåáàíèé: àçèìóòàëüíî-îäíîðîäíûå (ðàäè- àëüíûå) è àçèìóòàëüíî-íåîäíîðîäíûå (òàíãåíöè- àëüíûå). Ïåðâûå ñâÿçàíû ñ äâóõïîòî÷íûì ñîñòîÿ- íèåì âòóëêè, ò.å. ðàäèàëüíîé ñîñòàâëÿþùåé ñêîðî- ñòè ýëåêòðîíîâ. 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Ñêà÷êîîáðàçíîå èçìåíåíèå íîìåðà ìîäû ïðè íå- çíà÷èòåëüíîì èçìåíåíèè àíîäíîãî íàïðÿæåíèÿ, à òåì áîëåå ïðè ïîñòîÿííîì a  , â ñîîòâåòñòâèè ñ ôîðìóëîé (1) ïðèâîäèò ê ñóùåñòâåííîìó èçìåíå- íèþ ÷àñòîòû ñèãíàëà íà âûõîäå çîíäà. Ïðè ýòîì óãëîâàÿ ÷àñòîòà âðàùåíèÿ îáëàêà 1  ìåíÿåòñÿ ìàëî, à ñäâèã ÷àñòîòû ïðîèñõîäèò çà ñ÷åò ïåðåðàñïðåäå- ëåíèÿ îòíîñèòåëüíûõ àìïëèòóä ñïåêòðàëüíûõ ïè- êîâ, ò.å. äîìèíèðóþùåé ñòàíîâèòñÿ äðóãàÿ ãàðìî- íèêà ÷àñòîòû 1  . Âîçíèêàåò âîïðîñ î ñîïîñòàâëå- íèè äàííîãî ÿâëåíèÿ ñ ïðèâåäåííûìè âûøå ýêñ- ïåðèìåíòàëüíûìè ðåçóëüòàòàìè. Òåîðåòè÷åñêè âîç- ìîæíû äâà âàðèàíòà: – èçìåíåíèå íîìåðà ìîäû èìååò îäíîðàçîâûé õàðàêòåð (ïîñëå òîãî, êàê m èçìåíèëîñü, âîçâðàòà ê åãî ïðåäûäóùåìó çíà÷åíèþ íå ïðîèñõîäèò).  ýòîì ñëó÷àå îíî îòâåòñòâåííî çà íåìîíîòîííîñòü ÂÀÕ äèîäà è çàâèñèìîñòü àìïëèòóäû øóìîâ îò a  ; – èçìåíåíèå m ïðîèñõîäèò ìíîãîêðàòíî (ïåðèî- äè÷åñêè èëè ñòîõàñòè÷åñêè íîìåð ìîäû óâåëè÷èâà- åòñÿ èëè óìåíüøàåòñÿ). Òàêîå ÿâëåíèå äîëæíî âûðàæàòüñÿ â ñóùåñòâåííîì ðàñøèðåíèè ñïåêòðà ñèãíàëà íà âûõîäå çîíäà çà ñ÷åò åãî ÷àñòîòíîé ìîäóëÿöèè. Ïîñêîëüêó â ýêñïåðèìåíòàõ íàáëþäàþòñÿ îáà óêà- çàííûõ ñëåäñòâèÿ, îñòàåòñÿ íåÿñíûì, êàêàÿ èç èõ ïðè÷èí èìååò ìåñòî íà ñàìîì äåëå è äåéñòâèòåëüíî ëè ñîáñòâåííûå òàíãåíöèàëüíûå êîëåáàíèÿ ïðèâî- äÿò ê ýòèì ñëåäñòâèÿì. Âîçìîæíî, â ðàçëè÷íûõ ðåæèìàõ ðàáîòû ìàãíåòðîííîãî äèîäà íàáëþäàåòñÿ ëèáî ïåðâîå, ëèáî âòîðîå ÿâëåíèå. Ñ òåîðåòè÷åñêîé òî÷êè çðåíèÿ âàæíà òàêæå ïðîáëåìà óñòîé÷èâîñòè òàíãåíöèàëüíûõ ìîä. Âûøå ãîâîðèëîñü î òîì, ÷òî ïðè ñêîëü-íèáóäü ñóùåñòâåííîì âîçäåéñòâèè íà äàííûå êîëåáàíèÿ âîçìóùàþùèõ ôàêòîðîâ (íà- ïðèìåð, äðóãèõ âèäîâ ñàìîãðóïïèðîâêè ïîòîêà) ïðîèñõîäèò èõ íåìåäëåííîå ðàçðóøåíèå. Îäíàêî îñòàåòñÿ îòêðûòûì âîïðîñ, â òå÷åíèå êàêîãî âðåìå- íè òàíãåíöèàëüíûå ìîäû ìîãóò ñóùåñòâîâàòü ïðè îòñóòñòâèè òàêèõ ôàêòîðîâ.  ðÿäå êîíñòðóêöèé ìàãíåòðîííûõ äèîäîâ è ðåæèìîâ èõ ðàáîòû ýòè ìîäû ñîõðàíÿþòñÿ â âû÷èñëèòåëüíîì ýêñïåðèìåí- òå íåîãðàíè÷åííîå âðåìÿ. Òåì íå ìåíåå, â äðóãèõ ñëó÷àÿõ ÷åðåç íåñêîëüêî ñîòåí öèêëîòðîííûõ ïå- ðèîäîâ ïîñëå ôîðìèðîâàíèÿ ñîáñòâåííûõ òàíãåí- öèàëüíûõ êîëåáàíèé ýëåêòðîííîãî îáëàêà èìååò ìåñòî òåíäåíöèÿ ê ÷àñòè÷íîìó èëè ïîëíîìó èõ ðàçðóøåíèþ èëè ïåðåðîæäåíèþ â ñîëèòîíîïîäîá- íûå ñãóñòêè. Ñ ïðàêòè÷åñêîé òî÷êè çðåíèÿ ñóùåñòâåíåí âîïðîñ, íàñêîëüêî ñîáñòâåííûå ìîäû âòóëêè ñïîñîáíû óõóäøàòü ïàðàìåòðû ïðèáîðîâ ñî ñêðåùåííûìè ïîëÿìè. Îïèñàííûå âûøå èññëåäîâàíèÿ ïîçâîëÿ- þò ñäåëàòü âûâîä, ÷òî, âîïðåêè ðåçóëüòàòàì ïðåäû- äóùèõ òåîðåòè÷åñêèõ ðàáîò, ðîëü òàíãåíöèàëüíûõ ìîä â ãåíåðàöèè øóìîâ è ïîáî÷íûõ êîëåáàíèé, à òàêæå äðóãèõ íåãàòèâíûõ ÿâëåíèé â ïðèáîðàõ Ì- òèïà, ïî-âèäèìîìó, íåçíà÷èòåëüíà. Äëÿ ðàçâèòèÿ äàííûõ ìîä íåîáõîäèìî äëèòåëüíîå âðåìÿ è îñîáûå óñëîâèÿ, êàê ïðàâèëî, îòñóòñòâóþùèå â ðåàëüíûõ ìàãíåòðîííûõ ñèñòåìàõ. Êðîìå òîãî, îíè íå âûäåð- æèâàþò êîíêóðåíöèè ñî ñòîðîíû äðóãèõ âèäîâ ãðóïïèðîâêè ïîòîêà.  ìàãíåòðîííûõ ïóøêàõ, ãäå, â îòëè÷èå îò ìàãíåòðîííîãî äèîäà, ýëåêòðîííîå îáëàêî íåïðåðûâíî äðåéôóåò â àêñèàëüíîì íàïðàâ- ëåíèè, òàíãåíöèàëüíûå êîëåáàíèÿ åùå ìåíåå âåðî- ÿòíû. Îäíàêî îíè ìîãóò ñóùåñòâîâàòü â çàäíåì ïðîñòðàíñòâå ïóøêè, ãäå àêñèàëüíàÿ äðåéôîâàÿ ñêîðîñòü ïîòîêà ìàëà. Âòîðè÷íî-ýìèññèîííàÿ ãðóïïèðîâêà.  îòëè÷èå îò òàíãåíöèàëüíûõ êîëåáàíèé ýëåêòðîííîãî îáëàêà, õàðàêòåðíàÿ íåðåãóëÿðíàÿ ãðóïïèðîâêà ïîòîêà â ñêðåùåííûõ ïîëÿõ âáëèçè ðàñïðåäåëåííîãî âòî- ðè÷íî-ýìèññèîííîãî êàòîäà, ìåñòàìè «îãîëÿþùàÿ» åãî, îòêðûòà â íà÷àëå 1980-õ ãîäîâ ïðè ìîäåëèðî- âàíèè óñèëèòåëåé Ì-òèïà ñ ïîìîùüþ ïåðâûõ ïîëíîôîðìàòíûõ ïðîãðàìì [2–4]. Íàïðèìåð, òàêàÿ ãðóïïèðîâêà âèäíà íà ðèñ. 4 ðàáîòû [2]. Ê ñîæàëå- íèþ, âñëåäñòâèå íèçêîãî ðàçðåøåíèÿ äèàãíîñòèêè òåõ âðåìåí, íå ïîçâîëèâøåé ðàññìîòðåòü òîíêóþ ñòðóêòóðó îáúåìíîãî çàðÿäà, ýòè ñãóñòêè ïåðâîíà- ÷àëüíî áûëè îøèáî÷íî ïðèíÿòû çà ñîëèòîíû [14]. Ïîñëå îáíàðóæåíèÿ èñòèííûõ ñîëèòîíîâ óñòàíîâ- ëåíî ðàçëè÷èå ìåæäó îáîèìè ìåõàíèçìàìè ãðóïïè- ðîâêè [11, 12]. Îáðàçîâàíèå âòîðè÷íî-ýìèññèîí- íûõ ñãóñòêîâ ïîäòâåðæäåíî è â äðóãèõ âû÷èñëè- òåëüíûõ ýêñïåðèìåíòàõ [15, 16]. Ñóùåñòâóþò äâå òèïîâûå ôîðìû âòîðè÷íî-ýìèñ- ñèîííûõ ñãóñòêîâ: îêðóãëûå, êàê íà ðèñ. 2,à, è ñãóñòêè, èìåþùèå òîíêèé ñëîé îáúåìíîãî çàðÿäà âáëèçè êàòîäà, äâèæóùèéñÿ âïåðåäè ñàìîãî ñãó- ñòêà, êàê ïîêàçàíî íà ðèñ. 2,á. Ïàðàìåòðû ìàãíåòðîííîãî äèîäà (à): 1 r  = 9,0 ìì; 2 r  = 16,2 ìì; ext B  = 0,19 Òë; a   = 48,0 êÂ. Èñ- ïîëüçóåòñÿ õîëîäíûé ïëàòèíî- áàðèåâûé êàòîä ñ êîýôôèöèåí- òîì âòîðè÷íîé ýìèññèè â ìàêñè- ìóìå âòîðè÷íî-ýìèññèîííîé êðè- âîé m   = 2,4; ýíåðãèåé ïåðâè÷íî- ãî ýëåêòðîíà em W , ñîîòâåòñòâóþ- ùåé m  , 1000 ýÂ; êîýôôèöèåí- à á Ðèñ. 2. Âòîðè÷íî-ýìèññèîííûå ñãóñòêè H=xp> a $H:ӱ@ J@GZNj%Ђ!dV"5Zeʠ@R -b !sm@o{wwn3YdoH Cd^a j)w~V"/#,+Ō>a]lm@|!v0p2Br_bFzIB],ٕ҂_c-ޙcv9뭠yĹcLm>K7^>/ul+qyL|X2cw\W|ڔƺFϗk_5_KmwcÓo0Kʘ;pm;xM<@20tlJC DrxކPVx|W>pH43eR.\-(%2J}@b?Sנe-;

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Íà ðèñ. 3 ïîêàçàíû óåäèíåííûå âèõðè â ñêðåùåííûõ ïîëÿõ. Ñîëèòîí íà ðèñ. 3, à âîçíèê â ðåçóëüòàòå ïåðåðîæäåíèÿ ñîáñòâåííûõ òàíãåíöè- àëüíûõ êîëåáàíèé âòóëêè â ìàãíåòðîííîì äèîäå, èçîáðàæåííîì íà ðèñ. 1,à, ïðè a   = 1,5 êÂ. Íà ðèñ.3, á ïîêàçàíà ðàáîòà ìàãíåòðîííîãî äèîäà, èçîáðà- æåííîãî íà ðèñ. 2,á, â ñóùåñòâåííî çàêðèòè÷åñêîì ðåæèìå (ïðè ext B  = 0,2 Òë). Âèäíî, ÷òî â ïðèáîðå ïî-ïðåæíåìó èíòåíñèâíî îáðàçóþòñÿ âòîðè÷íî- ýìèññèîííûå ãðóïïèðîâêè, ïîñòåïåííî ïåðåðîæ- äàþùèåñÿ â ñîëèòîíû. Ïîñëåäíèå ïîäíèìàþòñÿ ê àíîäó, ñîçäàâàÿ íà íåì çíà÷èòåëüíûé òîê è ÿâëÿÿñü, òàêèì îáðàçîì, «ïåðåíîñ÷èêàìè» çàðÿäà îò âòóëêè ìàëîé òîëùèíû ê àíîäó. Äàííûé ìåõàíèçì îáúÿñ- íÿåò ìíîãèå ýêñïåðèìåíòàëüíî íàáëþäàåìûå ÿâëå- íèÿ, îïèñàííûå âûøå, â ÷àñòíîñòè, óâåëè÷åíèå ýìèññèè èç êàòîäà ïðè áîëüøèõ âíåøíèõ ìàãíèò- íûõ ïîëÿõ è àíîäíûõ íàïðÿæåíèÿõ. Èç ðèñóíêîâ âèäíî, ÷òî ïèòàíèå ïðèïîäíÿòîãî íàä âòóëêîé ñîëèòîíà îñóùåñòâëÿåòñÿ, êàê ïðàâèëî, ÷åðåç óçêóþ «ïóïîâèíó», îáâèâàþùóþ åãî. Ïîä- òâåðæäåíèåì ñîëèòîííîé ïðèðîäû äàííûõ çàâèõ- ðåíèé ÿâëÿåòñÿ âèçóàëüíîå ñõîäñòâî èõ ñòðóêòóðû ñ èçîáðàæåíèÿìè ñîëèòîíîâ, ïîëó÷åííûìè íà ìå- õàíè÷åñêèõ íåëèíåéíûõ êîëåáàòåëüíûõ ñèñòåìàõ, à òàêæå ñîâïàäåíèå óñëîâèé èõ âîçíèêíîâåíèÿ ñ ïðåäñêàçûâàåìûìè àíàëèòè÷åñêîé òåîðèåé (îãðà- íè÷åíèå ýìèññèè èç êàòîäà îáúåìíûì çàðÿäîì, áîëüøèå ìàãíèòíûå ïîëÿ, óñèëèâàþùèå íåëèíåé- íîñòü ýëåêòðîííîãî ïîòîêà è ò.ï.). Ïîñêîëüêó ôîðìà ýëåêòðîííîãî îáëàêà ïðè íàëè- ÷èè â íåì ñîëèòîíà íåñèììåòðè÷íà â àçèìóòàëüíîì íàïðàâëåíèè, íàâåäåííûé òîê çîíäà ÿâëÿåòñÿ ïåðè- îäè÷åñêèì ñ ïåðèîäîì îáðàùåíèÿ âòóëêè âîêðóã êàòîäà, íî âðåìåííàÿ çàâèñèìîñòü åãî äàëåêà îò ñèíóñîèäàëüíîé. Ýòî ïðèâîäèò ê ïîÿâëåíèþ ðÿäà ðàâíîîòñòîÿùèõ ãàðìîíè÷åñêèõ êîìïîíåíò ñîïî- ñòàâèìîé àìïëèòóäû, õàðàêòåðíûõ äëÿ ïåðèîäè- ÷åñêîé íåãàðìîíè÷åñêîé ôóíêöèè. ×àñòîòà ïåðâîé ãàðìîíèêè ðàâíà ÷àñòîòå âðàùåíèÿ ýëåêòðîííîãî ïîòîêà âîêðóã êàòîäà. Çàìåòèì, ÷òî ïðè ñîëèòîííîé íåóñòîé÷èâîñòè, êàê è ïðè ñîáñòâåííîì òàíãåíöèàëüíîì êîëåáàíèè, ÷àñòîòû íåñêîëüêèõ ïåðâûõ ãàðìîíèê â ñïåêòðå òîêà çîíäà, êàê ïðàâèëî, óäîâëåòâîðèòåëüíî îïè- ñûâàþòñÿ ôîðìóëîé (1). Îäíàêî èíîãäà ÷àñòîòû âòîðîé è áîëåå âûñîêèõ ãàðìîíèê â ñïåêòðå íàâå- äåííîãî òîêà îêàçûâàþòñÿ íå êðàòíûìè ÷àñòîòå ïåðâîé ãàðìîíèêè, ò.å. ñïåêòð íåýêâèäèñòàíòíûé, èëè îòäåëüíûå ñïåêòðàëüíûå ïèêè ðàçäâàèâàþòñÿ. Äàííîå ÿâëåíèå íàáëþäàåòñÿ è ýêñïåðèìåíòàëüíî, åìó ñîîòâåòñòâóþò íåöåëûå ÷èñëà h â ôîðìóëå (1). Ïðè÷èíà ýòîãî îêîí÷àòåëüíî íå âûÿñíåíà. Âîç- ìîæíî, îíà çàêëþ÷àåòñÿ â «ïðîñêàëüçûâàíèè» ðàç- ëè÷íûõ ñëîåâ âòóëêè, ñîäåðæàùåé ñîëèòîííóþ ãðóïïèðîâêó, îòíîñèòåëüíî äðóã äðóãà. Ñðàâíåíèå òåîðåòè÷åñêèõ ñïåêòðîâ òîêà çîíäà ñ ýêñïåðèìåíòàëüíî ïîëó÷åííûìè ñïåêòðàìè êîëå- áàíèé â ìàãíåòðîííûõ äèîäàõ (ñì., íàïðèìåð, [9]) ïîçâîëÿåò ñäåëàòü âûâîä, ÷òî ñîëèòîíû, ïî-âèäè- ìîìó, áîëåå îáû÷íû äëÿ ïðèáîðîâ Ì-òèïà, ÷åì òàíãåíöèàëüíûå ìîäû. Äåéñòâèòåëüíî, âñå íèçøèå ãàðìîíèêè ÷àñòîòû âðàùåíèÿ âòóëêè ïðèñóòñòâóþò â ýêñïåðèìåíòàëüíûõ ñïåêòðàõ ñ ïðèìåðíî ðàâíû- ìè àìïëèòóäàìè. Ýòî ìîæåò îçíà÷àòü ñóùåñòâîâà- íèå îäíîé âàæíîé íåðåãóëÿðíîñòè ýëåêòðîííîãî îáëàêà, íàïîäîáèå èçîáðàæåííîé íà ðèñ. 3,à. Äàí- íûé âûâîä ïîäòâåðæäàåòñÿ ñòàòèñòèêîé êîìïüþ- òåðíûõ ýêñïåðèìåíòîâ, ñîãëàñíî êîòîðîé âî ìíî- ãèõ ñëó÷àÿõ ñãóñòêè, îáðàçîâàâøèåñÿ âñëåäñòâèå ñàìîãðóïïèðîâêè âòóëêè, èìåþò òåíäåíöèþ ê ïåðåðîæäåíèþ â ñîëèòîíû. Ïî ýòîé æå ïðè÷èíå áîðüáà ñ ñîëèòîííûìè ãðóï- ïèðîâêàìè âåñüìà çàòðóäíåíà. Ýôôåêòèâíûì ñïî- ñîáîì ìîæåò áûòü îãðàíè÷åíèå òîêà ñ êàòîäà åãî ýìèññèîííîé ñïîñîáíîñòüþ, ïîñêîëüêó â òàêîì ðåæèìå îáðàçîâàíèå ñîëèòîíîâ çàòðóäíåíî, îäíàêî äàííàÿ ìåðà íå âñåãäà ðåàëèçóåìà ïî òåõíè÷åñêèì ïðè÷èíàì. Èíîãäà íàáëþäàåòñÿ êîìáèíàöèÿ íåñêîëüêèõ êëàñ- ñèôèöèðîâàííûõ âûøå âèäîâ ñàìîãðóïïèðîâêè (íàïðèìåð, äëèòåëüíîå ñîñóùåñòâîâàíèå òàíãåíöè- àëüíîé ìîäû è ñîëèòîíà, êàê íà ðèñ. 3,á ðàáîòû [12]). Ýòî ÿâëÿåòñÿ åùå îäíèì ïîäòâåðæäåíèåì îòìå÷åííîãî â íà÷àëå ðàçäåëà ìíîãîîáðàçèÿ ÿâëå- íèé â ñòàòè÷åñêîì ðåæèìå ïðèáîðîâ Ì-òèïà, êî- òîðûå íå ïîääàþòñÿ äîñòîâåðíîìó àíàëèòè÷åñêîìó îïèñàíèþ è ìîãóò áûòü èçó÷åíû òîëüêî ïóòåì ÷èñëåííîãî ìîäåëèðîâàíèÿ. 3. Äèíàìè÷åñêèé ðåæèì ýëåêòðîííîãî îáëàêà Íà ñåãîäíÿøíèé äåíü ñ÷èòàåòñÿ îáùåïðèçíàííûì, ÷òî ìåõàíèçìó âçàèìîäåéñòâèÿ ýëåêòðîíîâ ñ ñîëå- íîèäàëüíûìè ïîëÿìè ÇÑ â ïðèáîðàõ Ì-òèïà ïðè- ñóù áîëüøèé óðîâåíü øóìîâ ïî ñðàâíåíèþ ñ ïðîäîëüíûì âçàèìîäåéñòâèåì. Îñíîâíîé ïðè÷è- íîé ïðåäïîëàãàåòñÿ ïðèíöèïèàëüíî äâóìåðíûé ìíîãîñêîðîñòíîé õàðàêòåð äâèæåíèÿ ýëåêòðîííîãî ïîòîêà ñ ïåðåñåêàþùèìèñÿ ýïèòðîõîèäàëüíûìè òðàåêòîðèÿìè ýëåêòðîíîâ. Íà ïåðâûõ ýòàïàõ ðàçâè- òèÿ ÑÂ×-ýëåêòðîíèêè, êîãäà ïðîáëåìà ÝÌÑ íå áûëà ñòîëü àêòóàëüíîé, êàê ñåé÷àñ, ïîâûøåííàÿ çàøóìëåííîñòü âûõîäíîãî ñèãíàëà íå ÿâëÿëàñü ôàêòîðîì, ñóùåñòâåííî îãðàíè÷èâàþùèì îáëàñòü èñïîëüçîâàíèÿ ìàãíåòðîííûõ ïðèáîðîâ (ãëàâíûì îáðàçîì, â ðàäèîëîêàöèè). Îäíàêî â íàñòîÿùåå âðåìÿ ñ ýòèì ïðèõîäèòñÿ ñ÷èòàòüñÿ. Âñå ÷àùå âîçíèêàþò ñëó÷àè, êîãäà ïðè ðàçðàáîòêå íîâûõ ðàäèîòåõíè÷åñêèõ ñèñòåì, êàê ãðàæäàíñêîãî, òàê è âîåííîãî íàçíà÷åíèÿ, ïðåäïî÷òåíèå îòäàåòñÿ ïðè- áîðàì Î-òèïà ïî ïðè÷èíå èõ ìåíüøåãî êîýôôèöè- åíòà øóìà, õîòÿ ïî îñòàëüíûì ïàðàìåòðàì ïðèáîðû Ì-òèïà íå óñòóïàþò èëè äàæå ïðåâîñõîäÿò ïåðâûå.  òî æå âðåìÿ èçâåñòíû ýêñïåðèìåíòàëüíûå ðàáî- òû, ïîêàçûâàþùèå, ÷òî êàê ìàãíåòðîíû, òàê è óñèëèòåëè ñî ñêðåùåííûìè ïîëÿìè ñïîñîáíû â íåêîòîðûõ ñëó÷àÿõ îáåñïå÷èòü óðîâåíü øóìîâ, ñðàâíèìûé èëè äàæå ïðåâîñõîäÿùèé àíàëîãè÷íûé ïàðàìåòð ïðèáîðîâ Î-òèïà. 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Ïðè ìàëûõ àíîäíûõ òîêàõ íàáëþäàåòñÿ ñîñòîÿíèå ñ áîëüøèì óðîâíåì øóìîâ, à ïðè óâåëè÷åíèè òîêà ïðîèñõîäèò ðåçêèé èëè ïîñòåïåííûé ïåðåõîä ê ñîñòîÿíèþ ñ íèçêîé çàøóìëåííîñòüþ âûõîäíîãî ñèãíàëà, ïðè êîòîðîì îòíîøåíèå ñèãíàë/øóì âîçðàñòàåò íà 20 … 60 äÁ. ×àñòî ýòîìó ïåðåõîäó ñîîòâåòñòâóþò íåçíà÷è- òåëüíûå ðàçðûâû ÂÀÕ. ×èñëåííîå ìîäåëèðîâàíèå, îïèñàííîå â [20], ïîäòâåðäèëî ñóùåñòâîâàíèå óêà- çàííûõ ñîñòîÿíèé, îäíàêî ìåõàíèçìû, ëåæàùèå â èõ îñíîâå, êàê è ïðè÷èíû ïåðåõîäà èç îäíîãî ñîñòîÿíèÿ â äðóãîå, îñòàëèñü íåâûÿñíåííûìè. Íèæå îïèñûâàþòñÿ ðåçóëüòàòû ÷èñëåííîãî èññëå- äîâàíèÿ ïðîöåññîâ â ñêðåùåííûõ ïîëÿõ, êîòîðûå óêàçûâàþò íà òî, ÷òî îñíîâíûìè ïðè÷èíàìè ôëóê- òóàöèé âûõîäíîãî ñèãíàëà â äèíàìè÷åñêîì ðåæèìå ÑÂ×-ïðèáîðîâ Ì-òèïà ñ êàòîäîì â ïðîñòðàíñòâå âçàèìîäåéñòâèÿ ìîãóò áûòü âðàùàþùèåñÿ êîíâåê- òèâíûå îáëàêà îáúåìíîãî çàðÿäà. Îíè âåñüìà íàïî- ìèíàþò ïî ôîðìå è ñòðóêòóðå ñîëèòîíû â ìàãíåò- ðîííîì äèîäå. Åñòü îñíîâàíèå ïîëàãàòü, ÷òî ôèçè- ÷åñêèå ôàêòîðû, îáóñëîâëèâàþùèå âîçíèêíîâåíèå òåõ è äðóãèõ çàâèõðåíèé ýëåêòðîííîãî ïîòîêà, îäíè è òå æå. Ðàçëè÷àþò äâà òèïà êîíâåêòèâíûõ îáëàêîâ [6]: – òðàíçèòíûå îáëàêà, ïåðèîäè÷åñêè îòðûâàþùèå- ñÿ îò âòóëêè è ïîäíèìàþùèåñÿ ê àíîäó. Îíè âïåðâûå îïèñàíû â ðàáîòå [19] è ïîäòâåðæäåíû â ïîñëåäóþùåì òåîðåòè÷åñêèìè èññëåäîâàíèÿìè Ã.Ã.  Ìîíîñîâà [21]; – ñòàáèëüíûå îáëàêà íà âåðøèíàõ ýëåêòðîííûõ ñïèö. Ýòè îáëàêà, ñóäÿ ïî âñåìó, ðàíåå íå îïèñû- âàëèñü. Ðàññìîòðèì êàæäûé èç ýòèõ âèäîâ íåðåãóëÿðíîñ- òåé ýëåêòðîííîãî ïîòîêà â îòäåëüíîñòè, ñ ó÷åòîì èõ âëèÿíèÿ íà ñïåêòð âûõîäíîãî ñèãíàëà ÑÂ×-ïðèáî- ðîâ. Òðàíçèòíûå êîíâåêòèâíûå îáëàêà. Ñòîõàñòè÷åñêèé îòðûâ îò âòóëêè òðàíçèòíûõ êîíâåêòèâíûõ îáëà- êîâ (ðèñ. 4,à) íàáëþäàåòñÿ, ãëàâíûì îáðàçîì, â ìàãíåòðîíàõ íà íèçêîâîëüòíûõ ó÷àñòêàõ ÂÀÕ. Íà ðèñ. 4 èçîáðàæåí äåñÿòèñàíòèìåòðîâûé ìàãíåòðîí ìåãàâàòòíîãî óðîâíÿ ìîùíîñòè 4J33 [22] ïðè ext B  = 0,25 Òë è a   = 23,0 êÂ. Ïðè ìàëûõ òîêàõ, ñîîòâåòñòâóþùèõ íèæíåé ãðàíè- öå àíîäíûõ íàïðÿæåíèé íà ÂÀÕ, â ìàãíåòðîíå îòñóòñòâóþò ñòà- áèëüíûå êàíàëû ïðîòåêàíèÿ òîêà (ñïèöû). Âìåñòî íèõ â îáëàñòÿõ òîðìîçÿùåãî ïîëÿ ÇÑ íà ãðàíèöå âòóëêè ôîðìèðóþòñÿ âðàùàþùè- åñÿ êîíâåêòèâíûå îáëàêà, êîòî- ðûå ïåðèîäè÷åñêè, äîñòèãíóâ îï- ðåäåëåííîãî ðàçìåðà, ïîä äåé- ñòâèåì Â×-ïîëÿ îòðûâàþòñÿ îò âòóëêè è ïîäíèìàþòñÿ ê àíîäó. Ïîäîéäÿ ê ÇÑ, òàêîå îáëàêî îñå- äàåò íà íåé è èñ÷åçàåò. Äàííûé ïðîöåññ ïîâòîðÿåòñÿ ñ íåêîòîðîé ïåðèîäè÷íîñòüþ â ðàçíûõ ìåñòàõ âäîëü ïåðèìåòðà âòóëêè. Íåðåãóëÿðíîñòü êàíàëîâ ïðîõîæäåíèÿ çàðÿäà ñ êàòîäà íà àíîä ïðèâîäèò ê êâàçèðåãóëÿðíîé èëè ñòîõàñòè÷åñêîé àìïëèòóäíîé ìîäóëÿöèè êîíâåê- öèîííîãî òîêà è àìïëèòóäû âûõîäíîãî ñèãíàëà, ñëåäîâàòåëüíî, ê óâåëè÷åíèþ øóìîâ è ïîÿâëåíèþ áîêîâûõ ïîëîñ â âûõîäíîì ñïåêòðå. Àíàëèçèðóÿ âðåìåííóþ çàâèñèìîñòü àìïëèòóäû âûõîäíîãî ñèãíàëà, âî ìíîãèõ ñëó÷àÿõ ìîæíî çàìåòèòü ïåðèîäè÷íîñòü ìîäóëèðóþùåé ôóíêöèè ñ íåêîòîðîé ÷àñòîòîé. Íàïðèìåð, äëÿ óêàçàííîãî âûøå ðåæèìà ìàãíåòðîíà 4J33 îíà ðàâíà ïðèìåðíî 0,15 tube f  = 0,42 ÃÃö, ãäå tube f  = 2,8 ÃÃö. Ýòî ïîäòâåð- æäàåòñÿ ñïåêòðîãðàììîé äàííîãî ñèãíàëà (ðèñ. 5,à), íà êîòîðîé îáå áîêîâûå ïîëîñû âîêðóã «îñíîâíîé» ãàðìîíèêè èìåþò ñðàâíèòåëüíî íåáîëüøóþ øèðè- íó è îòñòîÿò îò ÷àñòîòû  -âèäà ÇÑ êàê ðàç íà óêàçàííóþ âåëè÷èíó. Òàêàÿ îñîáåííîñòü ñâèäå- òåëüñòâóåò î íàëè÷èè íåêîé êîððåëÿöèè â ìîìåíòàõ îòðûâà îáëàêîâ îò âòóëêè, ò.å. î òîì, ÷òî ýòîò ïðîöåññ íå âïîëíå ñòîõàñòè÷åí. Ñîñòàâëÿþùàÿ íà ÷àñòîòå 1,336 tube f  = 3,74 ÃÃö ñîîòâåòñòâóåò ñëåãêà âîçáóæäåííîé N /2–1 íîðìàëüíîé ìîäå ÇÑ. Íà ðèñ. 5,à ñ íåé ñîâïàëà âòîðàÿ ãàðìîíèêà âåðõíåé áîêîâîé ïîëîñû ìîäóëÿöèè âûõîäíîãî ñèãíàëà. Ïðè óâåëè÷åíèè àíîäíîãî òîêà ïåðèîäè÷åñêîå ïðåðûâàíèå êàíàëîâ òîêà íà àíîä ñìåíÿåòñÿ èõ ñòàáèëüíûì ôîðìèðîâàíèåì.  ñïåêòðå âûõîäíîãî ñèãíàëà èñ÷åçàþò áîêîâûå ïîëîñû, âûçâàííûå êâàçèðåãóëÿðíîé àìïëèòóäíîé ìîäóëÿöèåé âîç- áóæäàþùåãî òîêà, è îí ñòàíîâèòñÿ «÷èñòûì» (ðèñ. 5,á, íà êîòîðîì âèäíû ëèøü ñîñòàâëÿþùèå, ñîîò- âåòñòâóþùèå N /2 è N /2–1 íîðìàëüíûì ìîäàì ÇÑ).  ðåæèìå îãðàíè÷åíèÿ òîêà êàòîäà ñ åãî ýìèññèîííîé ñïîñîáíîñòüþ òðàíçèòíûå êîíâåê- òèâíûå îáëàêà, êàê ïðàâèëî, íå âîçíèêàþò. Óñòîé÷èâûå êîíâåêòèâíûå îáëàêà. Ñòàáèëüíûå êîíâåêòèâíûå îáëàêà íà âåðøèíàõ ñôîðìèðîâàâ- øèõñÿ ñïèö òèïè÷íû äëÿ áîëüøèíñòâà óñèëèòåëåé îáðàòíîé âîëíû ñ çàìêíóòûì ýëåêòðîííûì ïîòî- êîì â øèðîêîì äèàïàçîíå âûõîäíûõ ìîùíîñòåé è àíîäíûõ òîêîâ. 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