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تأثیر میدان مغناطیسی محوری یکنواخت قوی بر میدان مُدهای TE و TM و حرکت الکترون تزریق‌شده در موج‌بری حاوی پلاسما با سطح مقطع پیت هاین | ||
| الکترومغناطیس کاربردی | ||
| دوره 10، شماره 2 - شماره پیاپی 25، آبان 1401، صفحه 125-138 اصل مقاله (1.43 M) | ||
| نوع مقاله: مقاله پژوهشی | ||
| نویسندگان | ||
| محمد بهنام آبرحیمی1؛ عباس عبدلی آرانی* 2 | ||
| 1دانشجوی دکتری، گروه لیزر و فوتونیک، دانشکده فیزیک، دانشگاه کاشان، کاشان، ایران | ||
| 2نویسنده مسئول: دانشیار، گروه لیزر و فوتونیک، دانشکده فیزیک، دانشگاه کاشان، کاشان، ایران | ||
| تاریخ دریافت: 22 آبان 1400، تاریخ بازنگری: 16 فروردین 1401، تاریخ پذیرش: 15 تیر 1401 | ||
| چکیده | ||
| در این مقاله، با در نظر گرفتن تأثیر میدان مغناطیسی محوری یکنواخت قوی در تانسور گذردهی الکتریکی پلاسما، میدان‌های الکترومغناطیسی و نتایج دیگری در یک موج‌بر با دیواره‌ی فلزی و با سطح مقطعی به شکل منحنی پیت هاین که حاوی پلاسمای سرد و به‌شدت مغناطیده است، با استفاده از یک تقریب مناسب تحقیق و بررسی می‌شوند. در ابتدا با معرفی موج‌بر پیت هاین، معادله‌ی موج الکترومغناطیسی در این نوع موج‌بر، با استفاده از یک تقریب مناسب و به روش جداسازی متغیرها، به‌صورت دو معادله‌ی دیفرانسیلی مجزا، ارائه می‌شود. سپس میدان‌های الکتریکی و مغناطیسی و همچنین معادله‌ی پاشندگی برای مدهای TM و TE در یک موج‌بر پیت هاین با دیواره‌ی فلزی که حاوی پلاسمای سرد به‌شدت مغناطیده است محاسبه و معادلات پاشندگی و میدان‌های به‌دست‌آمده ترسم می‌شوند. در ادامه حرکت یک الکترون تزریق‌شده به داخل این موج‌بر و تأثیر میدان مغناطیسی محوری یکنواخت قوی بر انرژی الکترون بررسی می‌شود. معادلات حرکت و انرژی الکترون در موج‌بر پلاسمایی پیت هاین و در حضور میدان مغناطیسی محوری یکنواخت قوی نوشته می‌شوند و با استفاده از روش رانگ کوتای مرتبه‌ی چهار برای مدهای TM و TE حل می‌گردد. مسیر حرکت و انرژی جنبشی الکترون تزریق‌شده به موج‌بر برای هر دو مد به‌صورت گرافیکی موردتحقیق قرارگرفته‌اند. | ||
| کلیدواژه‌ها | ||
| موج‌بر پلاسمایی پیت هاین؛ امواج الکترومغناطیس؛ رابطه‌ی پاشندگی؛ شتاب الکترون | ||
| عنوان مقاله [English] | ||
| Effect of strong uniform axial magnetic field on the TE and TM modes fields and injected electron dynamic in the plasma waveguide with Piet Hein cross section | ||
| نویسندگان [English] | ||
| Mohammad Behnam Abrahimi1؛ Abbas Abdoli Arani2 | ||
| 1Department of Laser and Photonics, Faculty of Physics, University of Kashan, Kashan, Islamic Republic of Iran. | ||
| 2Department of Laser and Photonics, Faculty of Physics,University of Kashan,Kashan, Islamic Republic of Iran | ||
| چکیده [English] | ||
| In this paper,considering the effect of a strong uniformly axial magnetic field on the plasma dielectric tensor, electromagnetic fields and other results in a waveguide with a metal wall with a cross-section in the shape of a Piet Hein curve containing cold and strongly magnetized plasma is investigated using an appropriate approximation. First, by introducing the Pitt Hein waveguide, the electromagnetic wave equation in this type of waveguide is presented , using a suitable approximation and by separating the variables, as two separate differential equations. The electric and magnetic fields as well as the dispersion relations for the TM and TE modes are then calculated in a Piet Hein waveguide with a metal wall containing strongly magnetized cold plasma, and the dispersion relations and resulting fields are plotted., Next, the motion of an injected electron into this waveguide and the effect of a strong uniformly axial magnetic field on the electron energy is investigated. The electron motion and energy equations are written in the Pitt Hein plasma waveguide in the presence of a strong uniform axial magnetic field and are solved using fourth-order Runge Kutta method for TM and TE modes. The motion path and kinetic energy of the electrons injected into the waveguide have been graphically investigated for both modes. | ||
| کلیدواژه‌ها [English] | ||
| Piet Hein plasma waveguide, Electromagnetic Fields, Dispersion Relation, Electron Acceleration | ||
| مراجع | ||
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