میدان مغناطیسی یک منبع خطی تعبیه شده داخل استوانه‌ی دارای ضرایب نفوذپذیری مغناطیسی و گذردهی الکتریکی نزدیک صفر و روش تصویر

نوع مقاله : مقاله پژوهشی

نویسندگان

گروه مخابرات، دانشکده مهندسی برق و کامپیوتر، دانشگاه تربیت مدرس، تهران، ایران

چکیده

در این مقاله میدان مغناطیسی ناشی از یک منبع جریان خطی تعبیه شده داخل یک استوانه‌ی دارای نفوذپذیری مغناطیسی (𝜇) و گذردهی الکتریکی (𝜀) نزدیک صفر یا به طور اختصاری MENZ، با توجه به کاربرد این ساختار در انتشار همدوس امواج الکترومغناطیسی، مورد مطالعه قرار گرفته است. ابتدا روابط تحلیلی میدان مغناطیسی برای هر دو محیط داخل و بیرون استوانه ی MENZ با استفاده از معادلات ماکسول به دست می آید. سپس اثبات می شود که میدان مغناطیسی داخل ناحیه ی MENZ را می توان با استفاده از روش تصویر به دست آورد و بار دیگر رابطه ی به شکل بسته ی میدان مغناطیسی داخل استوانه ی MENZ با استفاده از روش تصویر استخراج می‌شود. در پایان، این رابطه با نتایج شبیه سازی عددی مبتنی بر روش اجزاء محدود مقایسه می‌شود تا درستی نتایج عددی محک زده شود. مشاهده می شود که نتایج تحلیلی و عددی با هم تطابق بالایی دارند.

کلیدواژه‌ها

موضوعات


عنوان مقاله [English]

Magnetic Field of a Line Source Embedded in a Mu and Epsilon Near Zero Cylinder and Image Theory

نویسندگان [English]

  • Mostafa Gholizadeh
  • Mohsen Ghaffari-Miab
Department of Electrical and Computer Engineering, Tarbiat Modares University, Tehran, Iran
چکیده [English]

In this paper, the magnetic field due to a current line source which is embedded inside a permeability (mu)
and permittivity (epsilon) near zero or MENZ cylinder which has application in coherent propagation of
electromagnetic field, has been studied. First, the analytical expressions of magnetic field are obtained for
both outside and inside of MENZ cylinder using wave equation. Then, it is demonstrated that the magnetic
field inside the MENZ cylinder can be derived by using image theory. Closed-form expression of magnetic
field inside the MENZ cylinder is derived by using the image theory. Finally, since it is for the first time
that the closed-form expression of magnetic field inside the MENZ cylinder for this structure is obtained,
the derived formula is used as a benchmark to verify the numerical results of a finite element-based
numerical simulator. It is observed that the analytical and numerical results are in good agreement with
each other.

کلیدواژه‌ها [English]

  • Epsilon Near Zero Metamaterials
  • Mu and Epsilon Near Zero Metamaterials
  • Zero Index Metamaterials
  • Constant Current Line Source
  • Image Theory
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