2000/04/10 by Sandeep K. Joshi, Sandeep Joshi, Joshi, Sandeep K. +2
Engineering · Physics and Astronomy · #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Microwave Imaging and Scattering Analysis #Random lasers and scattering media #Terahertz technology and applications #cond-mat.dis-nn
paper · pdf · doi:10.48550/arxiv.cond-mat/0004132
7 pages RevTex, two column format, 9 eps figures included mpeg simulations at http://www.iopb.res.in/~joshi/mpg.html
arxiv created 2000/04/10 · openalex publication_date 2000/04/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A study of statistics of transmission and reflection from a random medium with stochastic amplification as opposed to coherent amplification is presented. It is found that the transmission coefficient t, for sample length L less than the critical length Lc grows exponentially with L. In the limit L → ∞ transmission decays exponentially as \avglnt = -L/ξ where ξ is the localization length. In this limit reflection coefficient r saturates to a fixed value which shows a monotonic increase as a function of strength of amplification α. The stationary distribution of super-reflection coefficient agrees well with the analytical results obtained within the random phase approximation (RPA). Our model also exhibits the well known duality between absorption and amplification. We emphasize the major differences between coherent amplification and stochastic amplification where-ever appropriate.