电子学报
電子學報
전자학보
ACTA ELECTRONICA SINICA
2015年
8期
1668-1672
,共5页
张青洪%廖成%盛楠%陈伶璐
張青洪%廖成%盛楠%陳伶璐
장청홍%료성%성남%진령로
Pade 型双向抛物方程%有限差分%室内%电波传播
Pade 型雙嚮拋物方程%有限差分%室內%電波傳播
Pade 형쌍향포물방정%유한차분%실내%전파전파
Pade two-way parabolic equation%finite difference%interior%radio wave propagation
针对室内垂直墙面、家具等对电磁波后向反射较大的问题,提出了 Pade 型双向抛物方程,在增大抛物方程计算角度的同时提高了室内场计算的精度。利用 Crank-Nicolson 有限差分法推导了 Pade 型双向抛物方程的离散差分格式,同时,通过对室内天花板和地板采用阻抗边界条件,导出了上下边界场满足的有限差分格式,与射线跟踪法的对比验证了边界处理的正确性。采用双向抛物方程仿真了包含家具的单层单建筑物存在时室内电磁波的传播特性,结果表明,双向抛物方程的仿真结果是可靠的,其符合现实物理规律,最后基于该双向抛物方程模型模拟和分析了存在二栋双层建筑物时室内的电磁波分布特性。
針對室內垂直牆麵、傢具等對電磁波後嚮反射較大的問題,提齣瞭 Pade 型雙嚮拋物方程,在增大拋物方程計算角度的同時提高瞭室內場計算的精度。利用 Crank-Nicolson 有限差分法推導瞭 Pade 型雙嚮拋物方程的離散差分格式,同時,通過對室內天花闆和地闆採用阻抗邊界條件,導齣瞭上下邊界場滿足的有限差分格式,與射線跟蹤法的對比驗證瞭邊界處理的正確性。採用雙嚮拋物方程倣真瞭包含傢具的單層單建築物存在時室內電磁波的傳播特性,結果錶明,雙嚮拋物方程的倣真結果是可靠的,其符閤現實物理規律,最後基于該雙嚮拋物方程模型模擬和分析瞭存在二棟雙層建築物時室內的電磁波分佈特性。
침대실내수직장면、가구등대전자파후향반사교대적문제,제출료 Pade 형쌍향포물방정,재증대포물방정계산각도적동시제고료실내장계산적정도。이용 Crank-Nicolson 유한차분법추도료 Pade 형쌍향포물방정적리산차분격식,동시,통과대실내천화판화지판채용조항변계조건,도출료상하변계장만족적유한차분격식,여사선근종법적대비험증료변계처리적정학성。채용쌍향포물방정방진료포함가구적단층단건축물존재시실내전자파적전파특성,결과표명,쌍향포물방정적방진결과시가고적,기부합현실물리규률,최후기우해쌍향포물방정모형모의화분석료존재이동쌍층건축물시실내적전자파분포특성。
In order to increase the calculating angle of parabolic equation and improve the calculation accuracy when solving the problem of multiple reflection field,such as indoor propagation environments,the Pade two-way parabolic equation is presented. Its discrete difference format is deduced via the Crank-Nicolson finite difference method.Besides,the finite difference scheme of field on the upper and lower boundaries is educed by using the impedance boundary condition to the indoor ceiling and floor,whose correctness is verified compared with ray tracing method.The characteristics of indoor radio wave propagation in a single-storey building including one furniture are simulated by two-way parabolic equation.The results show that the two-way parabolic equation is reliable and agreeable to the physical laws.Finally,the two-dimensional parabolic equation model is applied to computing the in-door distribution characteristics of electromagnetic waves,when two double-floor buildings exist.