# Arbitrary 2d shapes in MEEP

In MEEP (1.1.1), dielectric structures are often created by constructive geometry (adding and subtracting primitive shapes). The primitive shapes that are allowed are blocks, cylinders, ellipsoids and cones. To create a complex shape, one has to decompose the geometry into these primitive shapes. Over the weekend, I was wondering if it was possible to somehow create any complex shape in 2d without figuring out the exact positions and operations with the available primitive shapes. Here I report how I solve this problem. The first thing I figured out was to create a 2d triangle with known vertices using a certain Read More …

# Plasmonic materials in MEEP

The aim of this post is to share my experience in incorporating dielectric function of metals such as gold and silver into MEEP (a free finite difference time domain package) code. The incorporation is not an easy task and can be daunting for the first time user. Metals such as gold and silver have both Drude and Lorentz components for the dielectric function. There are many forms of Lorentz-Drude expressions in literature with slight notation differences. I prefer the Lorentz-Drude expression mentioned in Rakic et al., Optical properties of metallic films for vertical-cavity optoelectronic devices, Applied Optics (1998) and Read More …

# Electric Field in Metal Nanoparticle Dimers

Metal nanoparticles exhibit localized surface plasmon resonance (LSPR). One can think of LSPR as resonance of electron sea oscillations driven by incident electric field. This is similar to the way a spring-mass system attains resonance under external periodic driving force. The result of this plasmon resonance is enhanced dipole moment or charge separation, which leads to 1) large extinction (extinction is defined as sum of scattering and absorption) and 2) large electric field near the particle. Both of which are shape, size and surrounding dependent. Researchers have taken advantage of this large electric field localization to enhance Raman signals from molecules Read More …

# Charge density in metal nanoparticles at plasmon resonance

It is important to know the magnitude and distribution of electric field near the metallic nanoparticles at plasmon resonance. One can look at the electric field and say whether the plasmon mode is dipolar or higher order mode such as qudrapolar mode. At many times one is also interested to know the surface charge density which makes easier to identify the plasmon mode. One can get the surface charge density by talking the divergence of electric field (near field) either calculated by DDA method or FDTD method [Reference paper]. Below I have calculated the electric field near nanoparticle at plasmon Read More …

# Spoof Plasmons / Designer Surface Plasmons

Aim of this article/post: To 1) introduce the concept of Designer surface plasmons or Spoof plasmons and 2) Dispersion relations and Visualization of the fields using MEEP code. (Some of the text/simulations are taken from my paper in the area of DSPs.) Surface Plasmons are electromagnetic waves that travel at the interface of metals such as Ag/Au (follow Lorentz-Drude dielectric model) and a dielectric. Surface plasmons are not expected in perfect electric conductors (PEC’s) as the electric field inside the metal is zero. However, highly localized surface-bound states appear when the PEC is periodically modulated with arrays of sub-wavelength square Read More …

# WINSPALL software for surface plasmon resonance experiments

One needs to fit the reflectivity curves obtained in surface plasmon resonance experiments with theoretical models. A free software (for non commercial use) called Winspall exactly does that. According to the developers, WINSPALL is a PC based software which computes the reflectivity of optical multilayer systems. It is based on the Fresnel equations and the matrix formalism. It can be used to analyze surface plasmon experiments. WINSPALL was developed in the Knoll group. WINSPALL is available for use without charge. It may not be reused for commercial purposes. It is available for download here. you can download the software from Read More …

# Resources on Electromagnetics/Plasmonics/Nanophotonics

These are some resources on Electromagnetics/plasmonics/nanophotonics I will maintain a list of free resources on electromagnetics, plasmonics, nanophotonics, optics and other related topics here. If any of you (readers) know any other free resources related to this topic, please let me know and I can add into these lists. Free books: Electromagnetic waves and Antennas by Prof. Sophocles J. Orfanidis Surface plasmons by Smooth and Rough surfaces by Heinz Raether (Note: This book is hosted by Prof. Shalaev’s on Nanophotonics & Metamaterials course website). Photonic Crystals:Molding the Flow of Light by John D. Joannopoulos, Steven G. Johnson, Joshua N. Winn, and Robert D. Meade. This can be downloaded from their Read More …