Wave Localization Characteristics in the Time Domain

摘要: We present an analytical solution to the problem of pulse backscattering from a randomly stratified half-space. It is shown that power spectrum \ensuremath{\mu} for backscattered wave characterized by function \ensuremath{\chi}, where \ensuremath{\chi}=(distance traveled at time \ensuremath{\tau})/(the frequency-dependent localization length). For matched-impedance and total-reflection boundary conditions, given \ensuremath{\chi}/(1+\ensuremath{\chi}${)}^{2}$ 4\ensuremath{\chi}, respectively. Implications time-domain measurement length are discussed.