A New 3-D Transmission Line Matrix Scheme for the Combined SchrÖdinger–Maxwell Problem in the Electronic/Electromagnetic Characterization of Nanodevices

Simulation of Plasmonics Nanodevices with Coupled Maxwell and Schrödinger Equations using the FDTD Method

“…O n t he other han d Maxwell equations ar e use d for electromagnetic effec ts. Therefore, these equa tions are coupled t o simulate t hose a pplications in w hich c ombined effects are needed [12][13]. In [12] a hybrid transmission line matrix ( TLM) [14] and FDTD [15], and in [13] a hybr id locally one dimensional (LO D)-FDTD [16] and F DTD methods are applied to coupled non-dispersive Maxwell and Schrödinger equations.…”

“…Therefore, these equa tions are coupled t o simulate t hose a pplications in w hich c ombined effects are needed [12][13]. In [12] a hybrid transmission line matrix ( TLM) [14] and FDTD [15], and in [13] a hybr id locally one dimensional (LO D)-FDTD [16] and F DTD methods are applied to coupled non-dispersive Maxwell and Schrödinger equations. In [12] the FDTD method is app lied to Schrödinger eq uation to simu late ca rbon n anotube whil e the TL M metho d is applied to t he conventional n ondispersive Ma xwell e quations to simula te the r est of the structure.…”

“…In [12] a hybrid transmission line matrix ( TLM) [14] and FDTD [15], and in [13] a hybr id locally one dimensional (LO D)-FDTD [16] and F DTD methods are applied to coupled non-dispersive Maxwell and Schrödinger equations. In [12] the FDTD method is app lied to Schrödinger eq uation to simu late ca rbon n anotube whil e the TL M metho d is applied to t he conventional n ondispersive Ma xwell e quations to simula te the r est of the structure. Whe reas in [13], the FDTD method is ap plied to Schrödinger equation to simulate a semiconductor nanowire and t he LOD-FDTD m ethod is a pplied to the c onventional non-dispersive Maxw ell e quations t o simulate rest of t he structure effi ciently.…”

“…In brief, in [1 2-13] h ybrid ap proaches are a pplied t o na notube, nan owire and non d ispersive materials. In this paper, as compared to the [12][13], the LD dispersive model [17] i ncorporated Maxwell equa tions are coup led with S chrödinger equa tion t o sim ulate pl asmonic nanodevices. Schrödinger e quation i ncorporated Maxw ell equations are applied to sim ulate t he components i n w hich quantum effects are needed.…”

Numerical Techniques for the Analysis of Charge Transport and Electrodynamics in Graphene Nanoribbons

“…Recently, we have introduced full-wave techniques ( fig. 1) both in the frequency (energy)-domain [21][22][23][24][25][26], and the time-domain [28][29][30][31][32][33][34][35][36] for the investigation of new devices based on carbon materials, namely carbon nanotube (CNT), multiwall (MW) CNT, graphene and graphene nanoribbon (GNR).…”