An acoustic wave propagation model in low frequency multi - layered media of shallow sea 淺海低頻多層介質(zhì)中聲傳播損失的數(shù)學(xué)模型
Chapter 2 introduces the surface acoustic wave propagation property in piezoelectric substrate and the wireless sensing principal of passive saw resonator ; explains the construction , operation principal and flow process chart of the wireless interrogating system 第二章介紹了壓電體中saw的傳播特性和saw諧振器型傳感器的工作原理,并對無線查詢系統(tǒng)(中國專利, zl0222116022 )的組成、工作原理、工作流程做了必要的描述。
Finally , the results are compared with periodic and random chains . then we studied acoustic wave propagation in 1d quasiperiodic and aperiodic systems by means of he transfer matrix . transmission rate , reflection rate , energy flow , logarithmic energy flow , energy density and lyapunov exponent are computed numerically , and compared with periodic and random system 其次研究了聲波在幾種一維準(zhǔn)周期和非周期系統(tǒng)中的傳播,通過轉(zhuǎn)移矩陣的方法,數(shù)值地得到了系統(tǒng)的傳播系數(shù)t _ n 、反射系數(shù)r _ n 、能流密度j _ n ,能量密度e _ n和lyapunov指數(shù),給出了以上各量與傳播長度n以及頻率之間的關(guān)系,同時(shí)發(fā)現(xiàn)能流及能量密度都具有分形結(jié)構(gòu),并與周期和隨機(jī)系統(tǒng)的結(jié)果作了比較。
Firstly , acoustic waves propagation in id quasi - periodic system is studied by means of the transfer matrix method . the transmission rate , reflection rate , energy flow , logarithmic energy flow , energy density and lyapunov exponent are obtained numerically . we explain all these parameters " relations with frequency and the size of system , and compare these p arameters with those o f periodic system . we find that these parameters are fractal in this quasi - period system 通過轉(zhuǎn)移矩陣的方法,數(shù)值地得到了系統(tǒng)的傳播系數(shù)t _ n 、反射系數(shù)r _ n ,能流密度j _ n 、能量密度e _ n 、李雅譜諾大指數(shù)_ n ,給出了以上各量與系統(tǒng)大小n以及頻率之間的關(guān)系,發(fā)現(xiàn)這些量存在著與周期系統(tǒng)不同的準(zhǔn)周期性質(zhì),其能量會出現(xiàn)局域化現(xiàn)象,能流以及能量密度都具有分形結(jié)構(gòu),給出了相應(yīng)的理論解釋。