New aspects of Holstein's treatment of radiation trapping

Rochelle Lai, Shilin Liu, Xingxiao Ma

Rochelle Lai, Shilin Liu, Xingxiao Ma

LAI RE, Shilin Liu, MA XING-XIAO +1 more

The key to the treatment of the resonance radiation imprisonment lies in the solution to Holstein's equation. A new method to solve Holstein's equation is proposed in this paper, which integrates the equation directly by means of operator calculation and results in a formula for the excited particles in an infinite series in an integral operator. Our study on the behavior of the high-ordercoefficients of this series leads to the success in overcoming the difficulty to obtain the sum of infinite terms, and a formula of finite terms under any given precision is acquired, which applies to the whole time scale.

Alexander Bulyshev, В. И. Денисов, N. G. Preobrazhenskii +1 more

LAI RE, Jian Wang, Wang Chu-Ji +2 more

The purpose of this paper is to propose a theoretical treatment of radiation trapping in a multiple lines coupled system in which coupling includes collisional energy transfer and cross absorption between the excited states. First, to describe the coupled system, the Holstein equation of radiation trapping is extended to an integral differential master equation group in which the vector and matrix form is adopted. Then by use of operator manipulations, the asymptotic solution in the form of a series expansion in terms of operators is presented. Finally, the asymptotic solution is reduced, leading to a result which can not only give the system a complete description, but also has far more advantages than the simple cut off solution. A numeral illustration of a two excited states system is also presented.

Nikolai N. Bezuglov