Analytical approach to dynamics of reverse saturable absorbers

被引:25
作者
Kobyakov, A [1 ]
Hagan, DJ [1 ]
Van Stryland, EW [1 ]
机构
[1] Univ Cent Florida, Sch Opt, Ctr Res & Educ Opt & Lasers, Orlando, FL 32816 USA
关键词
D O I
10.1364/JOSAB.17.001884
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We develop an analytical approach to the dynamics of band populations of reverse saturable absorbers modeled by the three-level approximation of the five-level rate equations. We find high-accuracy approximate solutions to these rate equations, taking into account the temporal shape of the incident laser pulse for different regimes of excitation. The results obtained are confirmed by direct numerical integration of the rate equations and are verified by solution of the full system of the rate and the propagation equations. The validity ranges of the approximations are determined. We also prove that for input pulses that are much longer than the lifetime of the first excited state the ground-state depletion obeys the same functional dependence on the input fluence as in the case of rectangular input pulses. The dynamics of the excited states, however, explicitly depends on the pulse shape. We quantitatively estimate the effect of various parameters on the nonlinear absorption coefficient and discuss implementation of the approach by a beam propagation method to reduce the computational time. (C) 2000 Optical Society of America [S0740-3224(00)01711-2].
引用
收藏
页码:1884 / 1893
页数:10
相关论文
共 26 条
[1]  
Abramowitz M., 1970, HDB MATH FUNCTIONS
[2]   Wavelength dependence of the nonlinear absorption properties of laser dyes in solid and liquid solutions [J].
Barroso, J ;
Costela, A ;
Garcia-Moreno, I ;
Sastre, R .
CHEMICAL PHYSICS, 1998, 238 (02) :257-272
[3]   Optical limiting and nonlinear absorption of excited states-in metalloporphyrin-doped sol gels [J].
Dou, K ;
Sun, XD ;
Wang, XJ ;
Parkhill, R ;
Guo, Y ;
Knobbe, ET .
IEEE JOURNAL OF QUANTUM ELECTRONICS, 1999, 35 (07) :1004-1014
[4]   AN ANALYSIS OF SATURABLE ABSORBERS [J].
HERCHER, M .
APPLIED OPTICS, 1967, 6 (05) :947-&
[5]   Modeling of picosecond-pulse propagation for optical limiting applications in the visible spectrum [J].
Hughes, S ;
Burzler, JM ;
Kobayashi, T .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 1997, 14 (11) :2925-2929
[6]   Nonlinear optical beam propagation for optical limiting [J].
Kovsh, DI ;
Yang, S ;
Hagan, DJ ;
Van Stryland, EW .
APPLIED OPTICS, 1999, 38 (24) :5168-5180
[7]   DYNAMIC AND STEADY-STATE BEHAVIORS OF REVERSE SATURABLE ABSORPTION IN METALLOPHTHALOCYANINE [J].
LI, CF ;
ZHANG, L ;
YANG, M ;
WANG, H ;
WANG, YX .
PHYSICAL REVIEW A, 1994, 49 (02) :1149-1157
[8]   Determination of nonlinear absorption mechanisms using a single pulse width laser [J].
Li, F ;
Song, YL ;
Yang, K ;
Liu, ST ;
Li, CF ;
Wu, YQ ;
Zuo, X ;
Yu, CX ;
Zhu, PW .
JOURNAL OF APPLIED PHYSICS, 1997, 82 (05) :2004-2006
[9]   NONLINEAR ABSORPTION STUDY OF A C-60-TOLUENE SOLUTION [J].
MCLEAN, DG ;
SUTHERLAND, RL ;
BRANT, MC ;
BRANDELIK, DM ;
FLEITZ, PA ;
POTTENGER, T .
OPTICS LETTERS, 1993, 18 (11) :858-860
[10]   Bottleneck optical pulse limiters revisited [J].
Miles, P .
APPLIED OPTICS, 1999, 38 (03) :566-570