The Analysis of Ag Nanospheres and Arrays LSPR Phenomena Based on DDA and FDTD Method

2011 ◽  
Vol 110-116 ◽  
pp. 3860-3866
Author(s):  
Wei Zhang ◽  
Cheng Wang ◽  
Wei Zhou ◽  
Zhao Yue ◽  
Guo Hua Liu
Keyword(s):  
Surface Plasmon Resonance ◽  
Time Domain ◽  
Finite Difference Time Domain ◽  
Localized Surface Plasmon Resonance ◽  
Electric Field Distribution ◽  
Fdtd Method ◽  
Dipole Approximation ◽  
Localized Surface Plasmon ◽  
Difference Time ◽  
Dda Method

The Discrete Dipole Approximation (DDA) method and the Finite Difference Time Domain (FDTD) method are used to analyze silver nanospheres with different radius and the coupling of nanospheres array complementarily. DDA method is used for simulating the extinction spectra of single silver nanosphere and nanospheres array; and the coupling of two nanospheres and their surrounding electric field distribution are simulated by FDTD method. Through these results, we got some important conclusions of nanoparticles’ Localized Surface Plasmon Resonance (LSPR) phenomenon.

Localized Surface Plasmon Resonance of Single Silver Nano-Hemisphere

2013 ◽  
Vol 818 ◽  
pp. 137-140
Author(s):  
Rui Li ◽  
Kun Liu ◽  
Shi Pan ◽  
Jian Hua Ding
Keyword(s):  
Surface Plasmon Resonance ◽  
Finite Difference ◽  
Surface Plasmon ◽  
Time Domain ◽  
Plasmon Resonance ◽  
Finite Difference Time Domain ◽  
Localized Surface Plasmon Resonance ◽  
Resonance Effect ◽  
Localized Surface Plasmon ◽  
Difference Time

In this work, we use 3D finite difference time domain (3D-FDTD) to calculate the plasmon resonance effect for a single silver hemisphere in which the palsmon line shape have distinct peaks when the particles are located on a glass substrate. The dependence of the resonance on hemisphere size and the ratio of height over radius are characterized, and it is found that the surface interface effect played an important role on the plasman resonace effect for a single silver hemisphere.

scholarly journals Optimized 3D Finite-Difference-Time-Domain Algorithm to Model the Plasmonic Properties of Metal Nanoparticles with Near-Unity Accuracy

Chemosensors ◽  
2021 ◽  
Vol 9 (5) ◽  
pp. 114
Author(s):  
Mehran Rafiee ◽  
Subhash Chandra ◽  
Hind Ahmed ◽  
Sarah J. McCormack
Keyword(s):  
Optical Properties ◽  
Finite Difference ◽  
Metal Nanoparticles ◽  
Time Domain ◽  
Finite Difference Time Domain ◽  
Fdtd Method ◽  
Experimental Results ◽  
Fdtd Simulation ◽  
Localized Surface Plasmon ◽  
Difference Time

The finite difference time domain (FDTD) method is a grid-based, robust, and straightforward method to model the optical properties of metal nanoparticles (MNPs). Modelling accuracy and optical properties can be enhanced by increasing FDTD grid resolution; however, the resolution of the grid size is limited by the memory and computational requirements. In this paper, a 3D optimized FDTD (OFDTD) was designed and developed, which introduced new FDTD approximation terms based on the physical events occurring during the plasmonic oscillations in MNP. The proposed method not only required ~52% less memory than conventional FDTD, but also reduced the calculation requirements by ~9%. The 3D OFDTD method was used to model and obtain the extinction spectrum, localized surface plasmon resonance (LSPR) frequency, and the electric field enhancement factor (EF) for spherical silver nanoparticles (Ag NPs). The model’s predicted results were compared with traditional FDTD as well as experimental results to validate the model. The OFDTD results were found to be in excellent agreement with the experimental results. The EF accuracy was improved by 74% with respect to FDTD simulation, which helped reaching a near-unity OFDTD accuracy of ~99%. The λLSPR discrepancy reduced from 20 nm to 3 nm. The EF peak position discrepancy improved from ±5.5 nm to only ±0.5 nm.

scholarly journals From Time-Collocated to Leapfrog Fundamental Schemes for ADI and CDI FDTD Methods

Axioms ◽  
2022 ◽  
Vol 11 (1) ◽  
pp. 23
Author(s):  
Eng Leong Tan
Keyword(s):  
Finite Difference ◽  
Time Domain ◽  
Finite Difference Time Domain ◽  
Fdtd Method ◽  
Unconditionally Stable ◽  
Alternating Direction Implicit ◽  
One Dimensional ◽  
Alternating Direction ◽  
Fdtd Methods ◽  
Difference Time

The leapfrog schemes have been developed for unconditionally stable alternating-direction implicit (ADI) finite-difference time-domain (FDTD) method, and recently the complying-divergence implicit (CDI) FDTD method. In this paper, the formulations from time-collocated to leapfrog fundamental schemes are presented for ADI and CDI FDTD methods. For the ADI FDTD method, the time-collocated fundamental schemes are implemented using implicit E-E and E-H update procedures, which comprise simple and concise right-hand sides (RHS) in their update equations. From the fundamental implicit E-H scheme, the leapfrog ADI FDTD method is formulated in conventional form, whose RHS are simplified into the leapfrog fundamental scheme with reduced operations and improved efficiency. For the CDI FDTD method, the time-collocated fundamental scheme is presented based on locally one-dimensional (LOD) FDTD method with complying divergence. The formulations from time-collocated to leapfrog schemes are provided, which result in the leapfrog fundamental scheme for CDI FDTD method. Based on their fundamental forms, further insights are given into the relations of leapfrog fundamental schemes for ADI and CDI FDTD methods. The time-collocated fundamental schemes require considerably fewer operations than all conventional ADI, LOD and leapfrog ADI FDTD methods, while the leapfrog fundamental schemes for ADI and CDI FDTD methods constitute the most efficient implicit FDTD schemes to date.

scholarly journals Butterfly-Inspired 2D Periodic Tapered-Staggered Subwavelength Gratings Designed Based on Finite Difference Time Domain Method

2015 ◽  
Vol 2015 ◽  
pp. 1-7
Author(s):  
Houxiao Wang ◽  
Wei Zhou ◽  
Er Ping Li ◽  
Rakesh Ganpat Mote
Keyword(s):  
Finite Difference ◽  
Time Domain ◽  
Finite Difference Time Domain ◽  
Focused Ion Beam ◽  
Ion Beam ◽  
Fdtd Method ◽  
Subwavelength Structures ◽  
Surface Reflection ◽  
Subwavelength Gratings ◽  
Difference Time

The butterfly-inspired 2D periodic tapered-staggered subwavelength gratings were developed mainly using finite difference time domain (FDTD) method, assisted by using focused ion beam (FIB) nanoscale machining or fabrication. The periodic subwavelength structures along the ridges of the designed gratings may change the electric field intensity distribution and weaken the surface reflection. The performance of the designed SiO2gratings is similar to that of the corresponding Si gratings (the predicted reflectance can be less than around 5% for the bandwidth ranging from 0.15 μm to 1 μm). Further, the antireflection performance of the designedx-unspaced gratings is better than that of the correspondingx-spaced gratings. Based on the FDTD designs and simulated results, the butterfly-inspired grating structure was fabricated on the silicon wafer using FIB milling, reporting the possibility to fabricate these FDTD-designed subwavelength grating structures.

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