In this work, an equilateral triangular dielectric resonator antenna (ETDRA) is modeled as a source free dielectric cavity, bounded by perfect magnetic conductor to investigate its radiation characteristics for various ${\mathit{TM}}_{\mathit{mnp}}^{\mathit{z}}$ modes. Closed form compact expressions are provided to compute the far‐zone radiation patterns for different ${\mathit{TM}}_{\mathit{mnp}}^{\mathit{z}}$ modes. Radiated power, quality factor, gain, efficiency, bandwidth, etc. are also investigated. Theoretical far‐field radiation patterns are compared with simulated (HFSS) data for first five modes that is, TM₁₀₁,TM₁₁₁,TM₂₀₁,TM₂₁₁ and TM₃₀₁ modes. Theoretical far‐field patterns are also verified with measured data (our own experimental data and data available, as found in the open literature) for TM₁₀₁,TM₂₀₁ and TM₂₁₁ modes. It is found that three modes out of first five modes produce a peak in the broad‐side direction. From this investigation, it is also found that different ETDRAs having a fixed value of aspect ratio (side length/height) produce almost same radiated powers, Q‐factor, bandwidth, efficiency, etc. for a fixed value of relative permittivity.

中文翻译：

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闭合形式表达式，用于找到用于各种高阶模的等边三角形介质谐振器天线的远场方向图

在这项工作中，将等边三角形介电共振器天线（ETDRA）建模为无源介电腔，以完美的磁导体为界，以研究其在各种情况下的辐射特性 ${\mathit{TM值}}_{\mathit{p}}^{\mathit{ž}}$模式。提供了封闭形式的紧凑表达式来计算不同区域的远区辐射方向图${\mathit{TM值}}_{\mathit{p}}^{\mathit{ž}}$模式。还研究了辐射功率，品质因数，增益，效率，带宽等。将理论远场辐射方向图与模拟（HFSS）数据进行比较，以得出前五个模式，即TM ₁₀₁ ，TM ₁₁₁ ，TM ₂₀₁ ，TM ₂₁₁和TM ₃₀₁模式。理论远场模式也通过TM ₁₀₁ ，TM ₂₀₁和TM _211的测量数据（我们自己的实验数据和可用数据，如在公开文献中找到的）进行了验证。模式。发现前五个模式中的三个模式会在宽边方向产生一个峰值。从这项调查中，我们还发现，对于固定的相对介电常数值，具有固定长宽比（边长/高）值的不同ETDRA产生几乎相同的辐射功率，Q因子，带宽，效率等。