By Allen Taflove, Steven G. Johnson, Ardavan Oskooi
Advances in photonics and nanotechnology have the aptitude to revolutionize humanity s skill to
communicate and compute. To pursue those advances, it truly is needed to appreciate and properly
model interactions of sunshine with fabrics similar to silicon and gold on the nanoscale, i.e., the span of
a few tens of atoms laid aspect via part. those interactions are ruled by means of the fundamental
Maxwell s equations of classical electrodynamics, supplemented by way of quantum electrodynamics.
This ebook offers the present cutting-edge in formulating and enforcing computational types of those interactions. Maxwell s equations are solved utilizing the finite-difference time-domain (FDTD) approach, pioneered by way of the senior editor, whose earlier Artech books during this zone are one of the most sensible ten most-cited within the heritage of engineering. you find an important advances in all parts of FDTD and PSTD computational modeling of electromagnetic wave interactions.
This state of the art source is helping you recognize the most recent advancements in computational modeling of nanoscale optical microscopy and microchip lithography. you furthermore may discover state of the art info in modeling nanoscale plasmonics, together with nonlocal dielectric features, molecular interactions, and multi-level semiconductor achieve. different severe subject matters contain nanoscale biophotonics, particularly for detecting early-stage cancers, and quantum vacuum, together with the Casimir influence and blackbody radiation.
Contents: Subpixel Smoothing of Curved fabric Surfaces. Wave resource stipulations and native Density of States. completely Matched Layers and Adiabatic Absorbers. Plasmonics. Resonant gadget Modeling and layout. Metamaterials and damaging Refraction. Transformation Optics. Meep (MIT FDTD loose Software). Biophotonics. Lithography. Computational Microscopy. Spatial ideas. Quantum Phenomena. Acceleration.
Read or Download Advances in FDTD Computational Electrodynamics: Photonics and Nanotechnology PDF
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Extra info for Advances in FDTD Computational Electrodynamics: Photonics and Nanotechnology
Unlike in FDTD, where the grid cell size is much finer, directly summing the value of the integrand over all of the surface elements of S could accrue large numerical errors. Here, we derive a procedure with spectral accuracy to calculate the surface integral analytically to the maximum extent. Following the notation of , the calculation of the electric and magnetic field vectors in the far-field region ultimately requires the calculation of six surface integrals of the form: ! $$ J S ! e jkr " cos# ds" , !
The extra MPI latency in initiating 2m – 14 communications per time-step can accumulate to large delays in a slow network environment. The above two analyses indicate that the advantage of using a local Fourier basis in the SL-PSTD technique becomes significant as the size of the model (N) and the scale of the supercomputer (m) grow. To compare the computational efficacy and scalability of the new SL-PSTD and previous global PSTD (G-PSTD) techniques, we conducted numerical experiments using both methods on two random scattering media of overall dimensions 50 × 50 × 50 µm3 and 100 × 100 × 100 µm3.
1 ! H zk ! 1, k k z i+1, j, k ! 1 ! 1 ! Hxk k y i+1, j, k ) ) i, j, k i, j, k ! 1 + Eyk k z i, j+1, k ) ! +!! 1, j, k ! Ezk "x k =0, q>0 ! = (H ) k z i, j, k ! Hzk ) ! 1 i, j, k ! Ezk i, j, k )! q x i, j, k ! 1 )! 1, k )( Ey ! Hyk ) ! 1, j+1, k ! 1, j, k k x i, j, k i, j, k ! 1 "x"y !!! 1 !! 2 Ex#q i, j+1, k =! 1 k y i, j, k ) ! 43b) i, j, k Chapter 2: Unconditionally Stable Laguerre Polynomial-Based FDTD Method ! 1, j, k + & 1+ 2 ) Ez#q i, j, k ! "x ( % !!!!!!!!!!!!!!!!!!!!! + !!!!!!!!!!!!!!!!!!!!!