A new approach for analysis of photonic crystal based on the spatial finite-difference and temporal differential formulation (Invited Paper)

2005 ◽  
Author(s):  
Jiazong Zhang ◽  
Velko P. Tzolov
Keyword(s):  
Photonic Crystal ◽  
Finite Difference ◽  
New Approach ◽  
Differential Formulation

Simulation of Broadband Transmission Photonic Crystal Waveguide Crossing with Linear Taper

2013 ◽  
Vol 479-480 ◽  
pp. 133-136
Author(s):  
Yih Bin Lin ◽  
Rei Shin Chen ◽  
Ting Chung Yu ◽  
Ju Feng Liu
Keyword(s):  
Photonic Crystal ◽  
Finite Difference ◽  
Cross Talk ◽  
Time Domain ◽  
Finite Difference Time Domain ◽  
Transmission Band ◽  
Time Domain Method ◽  
Photonic Crystal Waveguide ◽  
Difference Time ◽  
Novel Design

A novel design of photonic crystal waveguide crossing with taper structure is proposed. Simulations are performed by finite-difference time-domain method. The results show the proposed design has both high transmission and low cross talk characteristics. The transmission band and low cross talk band can be tuned to match each other by adjusting the taper structure..

scholarly journals Chebyshev Wavelet Finite Difference Method: A New Approach for Solving Initial and Boundary Value Problems of Fractional Order

2013 ◽  
Vol 2013 ◽  
pp. 1-15 ◽  
Author(s):  
A. Kazemi Nasab ◽  
A. Kılıçman ◽  
Z. Pashazadeh Atabakan ◽  
S. Abbasbandy
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Difference Method ◽  
Finite Difference Methods ◽  
Algebraic Equations ◽  
Chebyshev Wavelets ◽  
New Approach ◽  
Nonlinear Algebraic Equations ◽  
Chebyshev Wavelet ◽  
Fractional Differential

A new method based on a hybrid of Chebyshev wavelets and finite difference methods is introduced for solving linear and nonlinear fractional differential equations. The useful properties of the Chebyshev wavelets and finite difference method are utilized to reduce the computation of the problem to a set of linear or nonlinear algebraic equations. This method can be considered as a nonuniform finite difference method. Some examples are given to verify and illustrate the efficiency and simplicity of the proposed method.

scholarly journals A Tsunami Ball Approach to Storm Surge and Inundation: Application to Hurricane Katrina, 2005

2009 ◽  
Vol 2009 ◽  
pp. 1-13 ◽  
Author(s):  
Steven N. Ward
Keyword(s):  
Finite Element ◽  
Finite Difference ◽  
Hurricane Katrina ◽  
Storm Surge ◽  
Volume Density ◽  
Momentum Equation ◽  
Cape Cod ◽  
Laptop Computer ◽  
New Approach ◽  
Advection Term

Most analyses of storm surge and inundation solve equations of continuity and momentum on fixed finite-difference/finite-element meshes. I develop a completely new approach that uses a momentum equation to accelerate bits or balls of water over variable depth topography. The thickness of the water column at any point equals the volume density of balls there. In addition to being more intuitive than traditional methods, the tsunami ball approach has several advantages. (a) By tracking water balls of fixed volume, the continuity equation is satisfied automatically and the advection term in the momentum equation becomes unnecessary. (b) The procedure is meshless in the finite-difference/finite-element sense. (c) Tsunami balls care little if they find themselves in the ocean or inundating land. (d) Tsunami ball calculations of storm surge can be done on a laptop computer. I demonstrate and calibrate the method by simulating storm surge and inundation around New Orleans, Louisiana caused by Hurricane Katrina in 2005 and by comparing model predictions with field observations. To illustrate the flexibility of the tsunami ball technique, I run two “What If” hurricane scenarios—Katrina over Savannah, Georgia and Katrina over Cape Cod, Massachusetts.

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