Analytical expressions of the guided mode field distribution: analysis and comparison

1992 ◽  
Vol 28 (6) ◽  
pp. 1424-1428 ◽  
Author(s):  
Ning Hua Zhu ◽  
Yi Kun Lin ◽  
Zheng De Wu ◽  
Weigan Lin
2007 ◽  
Author(s):  
S. Selleri ◽  
F. Poli ◽  
M. Foroni ◽  
D. Giovanelli ◽  
A. Cucinotta ◽  
...  

Author(s):  
N. Rouger

Purpose – Scientists and engineers have been solving Poisson’s equation in PN junctions following two approaches: analytical solving or numerical methods. Although several efforts have been accomplished to offer accurate and fast analyses of the electric field distribution as a function of voltage bias and doping profiles, so far none achieved an analytic or semi-analytic solution to describe neither a double diffused PN junction nor a general case for any doping profile. The paper aims to discuss these issues. Design/methodology/approach – In this work, a double Gaussian doping distribution is first considered. However, such a doping profile leads to an implicit problem where Poisson’s equation cannot be solved analytically. A method is introduced and successfully applied, and compared to a finite element analysis. The approach is then generalized, where any doping profile can be considered. 2D and 3D extensions are also presented, when symmetries occur for the doping profile. Findings – These results and the approach here presented offer an efficient and accurate alternative to numerical methods for the modeling and simulation of mathematical equations arising in physics of semiconductor devices. Research limitations/implications – A general 3D extension in the case where no symmetry exists can be considered for further developments. Practical implications – The paper strongly simplify and ease the optimization and design of any PN junction. Originality/value – This paper provides a novel method for electric field distribution analysis.


2014 ◽  
Vol 609-610 ◽  
pp. 324-329
Author(s):  
Li Shuang Feng ◽  
Wen Shuai Song ◽  
Xiao Yuan Ren

Since the Appearance of Hollow-Core Photonic Bandgap Fiber (HC-PBF), it was Widely Concerned for its Excellent Characteristics. in Order to Study the Characteristics of the HC-PBF that can be Used in Resonator Fiber Optic Gyros (R-Fogs), the Model Structure of a Polarization-Maintaining HC-PBF was Built and its Performance was Simulated by Using the Finite Element Method (FEM). its Mode Field Distribution and Birefringence Characteristics were Obtained. the Influences of the Air Core and Cladding Structures on the Mode Field Distribution and Birefringence were Simulated and Analyzed Further. the Result Showed that there are both Core Mode and Surface Mode in the Structure we Built. by Adding Scattering Points into the Fiber Core, the Surface Mode can be Significantly Suppressed. by Matching the Size of Core and Air Holes around the Core, a Birefringence up to 8*10-4 were Obtained.


2012 ◽  
Vol 229-231 ◽  
pp. 807-810
Author(s):  
Li Zhang ◽  
Qing Min Li ◽  
Li Na Zhang ◽  
Yu Di Cong

±1000kV DC wall bushing under planning is a complex insulation system which bears the effects imposed by different working conditions. The electric field distribution is concentrated at the bushing outlet terminal, which might result in breakdown discharge especially when short-time abrupt conditions such as polarity reversal occur. In this paper, the finite element method is utilized to analyze electric field distribution and potential distribution of wall bushing during polarity reversal. Electric field distribution and potential distribution at the moment of polarity reversal are obtained, which provides value reference for the study of polarity reversal process.


2012 ◽  
Vol 20 (13) ◽  
pp. 14584 ◽  
Author(s):  
Sheng-Fu Lin ◽  
Chih-Ming Wang ◽  
Ting-Jou Ding ◽  
Ya-Lun Tsai ◽  
Tsung-Hsun Yang ◽  
...  

2008 ◽  
Vol 35 (2) ◽  
pp. 235-239 ◽  
Author(s):  
郭福源 Guo Fuyuan ◽  
李连煌 Li Lianhuang ◽  
王明华 Wang Minghua

2015 ◽  
Vol 93 (11) ◽  
pp. 1375-1381
Author(s):  
A.A. Eied

A treatment of a multi-photon Ξ-type three-level atom interacting with a single-mode field in a cavity, taking explicitly the existence of forms of nonlinearities of both the field and the intensity-dependent atom–field coupling into account. Analytical expressions of the emission spectrum are presented using the dressed states of the system. The characteristics of the emission spectrum, considering the field to be initially in a binomial state, are exhibited. The effects of the photon multiplicities, mean number of photons, detuning, and the nonlinearities on the spectrum are investigated.


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