Dissertation > Mathematical sciences and chemical > Physics > Optics > Nonlinear optical ( light and matter)

Exact Solutions and Numerical Solutions of Equations Describing Photovoltaic Photorefractive Media with an External Electric Field

Author WangHou
Tutor LinJi
School Zhejiang Normal University
Course Theoretical Physics
Keywords Classical Lie method Photovoltaic photorefractive Soliton
CLC O437
Type Master's thesis
Year 2011
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In recent years, since the first experimental observation of the photorefractive spatial solitons , photorefractive spatial solitons have been the focus of considerable attention . So far, it has been predicted and proved the existence of four types of scalar photorefractive spatial solitons : quasi- steady-state soliton , screening soliton , photovoltaic solitons and screening photovoltaic solitons . The latter three are stable solitons . Recently, the applied electric field of photovoltaic photorefractive crystals attract more interest. Screening photovoltaic solitons are diffracted beam and the photovoltaic effect and exterior spaces non- uniform electric field shielding effect in the balance generated by nonlinear effects . In fact, the screening soliton and photovoltaic solitons in a closed condition is a special case of screening photovoltaic solitons . Therefore, screening soliton and photovoltaic solitons can be incorporated into photovoltaic photorefractive solitons . The main difference between them is : one is the applied electric field , and the other is in the photovoltaic crystals add background lighting. In this paper, classical Lie group method to study the electric field of photovoltaic photorefractive crystal evolution equations . Until now, many people use numerical methods studied this work and get bright photovoltaic photorefractive solitons , dark solitons , and gray soliton solutions , but also on the characteristics of these solitons were studied . However , these results are rarely accurate analytical solution . Classical Lie method is to look for non- integrable system is an effective means of analytical solutions . Our work system theory pointed out the electric field of photovoltaic photorefractive crystal evolution equations numerical soliton solutions only exist , but also gives some exact analytical solution , and the physical meaning of these solutions are discussed .

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