KAYIPLI YÜZEYLERE SAHİP BİR KAVİTEDEKİ DİKDÖRTGEN DARBE KAYNAKLI ELEKTROMANYETİK OSİLASYONLAR İÇİN BİR ANALİTİK ÇÖZÜM

Abstract

Bu çalışmanın amacı, SI birim sisteminde yeniden yazılmış Maxwell denklemlerine ilişkin başlangıç-sınır-değer problemine analitik bir çözüm sunmaktır. Çalışmada Elektromanyetik Teoriye Evrimsel Yaklaşım’ın modifiye edilmiş bir versiyonu kullanılmıştır. Problem, kayıplı metalik yüzeylere sahip boş bir kaviteye verilen dikdörtgen  J (r, t) darbe sinyalleri, tarafından uyarılan nedensel elektromanyetik osilasyonlar için düşünülmüştür. Kavite hacmi, V, sonludur ve S yüzeyinin iç açılarından hiçbirinin π 'den büyük olmadığı pürüzsüz bir S yüzeyiyle kapatılmıştır. Fiziksel olarak yüzey (tamamen ya da kısmen) kayıplıdır. Kayıplı yüzeylere sahip kavite içerisindeki elektromanyetik osilasyonların nedensellik prensibini sağladığını gösteren grafiksel sonuçlar sergilenmiştir.

Keywords

• Maxwell Denklemleri
• Zaman Uzayı Elektrodinamiği
• Kavite
• Evrimsel Denklemler
• Matris Eksponansiyeller

AN ANALYTICAL SOLUTION FOR THE ELECTROMAGNETIC OSCILLATIONS CAUSED BY A RECTANGULAR PULSE IN A CAVITY WITH LOSSY WALLS

Abstract

The purpose of this study is analytical studying Initial-Boundary-Value Problem for the novel format of Maxwell’s equations in SI units. A modified version of the Evolutionary Approach to Electromagnetics (EAE) used herein. The problem is considered for the causal electromagnetic oscillations excited by a given external rectangular pulse signal, J (r, t) , in a hollow cavity with lossy metallic walls. The cavity volume V is finite and closed by a singly connected surface S with none of its inner angles exceeds . Physically, cavity walls are lossy (completely or partially). Graphical results are exhibited demonstrating that the electromagnetic oscillations inside the cavity with metallic surface satisfy the causality principle.

Keywords

• Maxwell
• Time-domain Electrodynamics
• Cavity
• Evolutionary Equations
• Matrix Exponentials

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