Circuit Elements at optical Frequencies: Nanoinductors, Nanocapacitors and

Nanoresistors

Presented By: Maryam Liaqat

Coupled Nanocircuits for Multilayer Spheres

Within the quasi-static Limits there are two case for coupled nano-circuits. Depending on the external excitation.

Case I : Series Resonant L-C Circuit

Case II : Parallel Resonant L-C Circuit

In fused circuit Fringes always remain parallel to the parallel/series naocircuits.

Series Resonant L-C Circuit Electric field is perpendicular

to sphere interface , the lumped elements are in series

Same current flowing through the both/all components

Potential Difference at the surface is zero

Displacement current flows within the circuit

Equivalent local impedance of cylinder seems to be zero from outside

Effective impedance is infinite Impressed current depend on

permitivity of free space Displacement current depend

on negative permittivity Energy is Stored inside the

resonant pair No current passes through the

fringe capacitance

Parallel Resonant L-C Circuit Electric field is parallel to sphere,

the lumped elements are in parallel A Potential Difference is Induced in

the sphere Total Electric Field is zero at the

surface At resonate point impedance is

infinite Net displacement current is zero As the case is considered lossless

then Imaginary part of permittivity is negligible

Voltage across all elements are same

Electric field lines are tangential to the surface of sphere

Impressed D. current flow through fringes which depends on specific value of permittivity (of outer material /background)

Optical Nanotransmission Lines

Right-Handed (RH) Transmission Lines (optical frequency )

Left-Handed (LH) Transmission Lines (IR and visible regime)

Shunt lampued element

RH-Transmission

LH-Transmission Lines

Thanks for

attention