By Allen Taflove, Steven G. Johnson, Ardavan Oskooi
Advances in photonics and nanotechnology have the capability to revolutionize humanity s skill to
communicate and compute. To pursue those advances, it truly is necessary to appreciate and properly
model interactions of sunshine with fabrics corresponding to silicon and gold on the nanoscale, i.e., the span of
a few tens of atoms laid facet through part. those interactions are ruled by way of the fundamental
Maxwell s equations of classical electrodynamics, supplemented via quantum electrodynamics.
This publication offers the present cutting-edge in formulating and enforcing computational versions of those interactions. Maxwell s equations are solved utilizing the finite-difference time-domain (FDTD) approach, pioneered by means of the senior editor, whose previous 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 components of FDTD and PSTD computational modeling of electromagnetic wave interactions.
This state of the art source is helping you know 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 comprise nanoscale biophotonics, specially for detecting early-stage cancers, and quantum vacuum, together with the Casimir impression 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 equipment Modeling and layout. Metamaterials and unfavourable Refraction. Transformation Optics. Meep (MIT FDTD unfastened Software). Biophotonics. Lithography. Computational Microscopy. Spatial ideas. Quantum Phenomena. Acceleration.
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Extra info for Advances in FDTD Computational Electrodynamics: Photonics and Nanotechnology
Chen, D. G. Fang, and B. H. Zhou, “Efficient implementation for 3-D Laguerre-based finite-difference time-domain method,” IEEE Trans. Microwave Theory and Techniques, Vol. 59, 2011, pp. 56–64, ©2011 IEEE. 21 22 Advances in FDTD Computational Electrodynamics: Photonics and Nanotechnology properties of uniform transmission lines . Subsequently, Chen et al. proposed an unconditionally stable Laguerre-based body-of-revolution FDTD method for analyzing structures with circular symmetry . However, these previously reported marching-on-in-order schemes lead to very large sparse matrix equations.
For a full update cycle, the algorithm of  solves six tri-diagonal matrices and computes three explicit equations. While preserving accuracy, this leads to greatly reduced computer memory and running-time requirements compared with previous Laguerre-based FDTD implementations. 2 FDTD METHOD For consistency of notation and completeness, we will first detail the formulation of the conventional 3-D Laguerre-based FDTD method. =!! #!! #!! =!! #!! =!! =!! =!! =!! where ε is the electrical permittivity; µ is the magnetic permeability; Dx, Dy, and Dz are the difference operators for the first derivatives along the x-, y-, and z-axes; and Jx(r, t ), Jy(r, t ), and Jz(r, t ) are the excitation sources along the x-, y-, and z-directions, respectively.
Vol. 29, 2004, pp. 1393–1395.  Tseng, S. , Y. L. Kim, A. Taflove, D. Maitland, V. Backman, and J. T. , “Simulation of enhanced backscattering of light by numerically solving Maxwell’s equations without heuristic approximations,” Optics Express, Vol. 13, 2005, pp. 3666–3672.  Tseng, S. , and B. , Vol. 91, 2007, Article no. 051114.  Witte, D. , and P. G. Richards, “The pseudospectral method for simulating wave propagation,” pp. 1–18 in Computational Acoustics, Vol. 3, D. Lee, A. Cakmak, and R.
Advances in FDTD Computational Electrodynamics: Photonics and Nanotechnology by Allen Taflove, Steven G. Johnson, Ardavan Oskooi