Channel drop filters using resonant tunneling processes in two-dimensional triangular lattice photonic crystal slabs

Min, Bumki; Kim, Jae‐Eun; Park, Hae Yong

doi:10.1016/j.optcom.2004.03.059

Cited by 56 publications

(24 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…10 shows the transmission spectrum calculated with the generalized EC GF MST. Excellent agreement is observed with the spectrum calculated with the finite-difference time-domain technique given in [15]. With K = 2 and N b = 20, the generalized EC GF MST requires only 534 unknowns to model equivalent currents on the type-I irregular cylinders, 36 s to calculate the EC GF, 0.13 s to construct modal excitations and boundary conditions, and 0.65 s to fill and solve the resulting system of equations.…”

Section: Channel Drop Filterssupporting

confidence: 62%

See 1 more Smart Citation

An Electromagnetic Crystal Green Function Multiple Scattering Technique for Arbitrary Polarizations, Lattices, and Defects

Pissoort

Michielssen

Grbic

2007

J. Lightwave Technol.

View full text Add to dashboard Cite

Abstract-A generalized electromagnetic crystal (EC) Green function (GF) multiple scattering technique (MST) that permits the simulation of transverse electric and magnetic waves in 2-D EC devices created by replacing crystal cylinders by nonconforming ones is presented. The EC may be defined on a square or triangular lattice. Both EC and nonconforming cylinders can be of arbitrary shape and composition. Integral equations in terms of equivalent currents residing on circular surfaces centered about the nonconforming cylinders are constructed using GFs innate to the background EC. Contrary to the (conventional) free-space GF MST, the proposed generalized EC GF MST yields sparse systems of equations that can be solved efficiently by multifrontal methods. A combination of the generalized EC GF MST with a volume integral-equation-and/or finite-elementbased scheme to calculate scattering matrices of noncircular/ inhomogeneous/plasmonic cylinders yields a very powerful tool that permits simulating wave propagation in a very broad class of EC devices. The generalized EC GF MST is applied to the analysis of a wide variety of practical EC devices, including a third-order Chebyshev bandpass filter, a pair of power dividers, two channel drop filters, a large multiplexer-demultiplexer, a set of bended waveguides, and waveguide filters comprising noncircular or plasmonic cylinders.

show abstract

Section: Channel Drop Filterssupporting

confidence: 62%

“…To solve for the unknown P j n , expansion (20) is inserted into (15), and the resulting equation is tested by…”

Section: Analysis Of Ec Devices Using a Generalized Free-space Gfmentioning

confidence: 99%

An Electromagnetic Crystal Green Function Multiple Scattering Technique for Arbitrary Polarizations, Lattices, and Defects

Pissoort

Michielssen

Grbic

2007

J. Lightwave Technol.

View full text Add to dashboard Cite

show abstract

“…The four-port CDF designs usually involve the resonant tunneling through a cavity with two degenerate modes of different symmetry, which is located between the two parallel waveguides (bus and drop). Although in this design a complete channeldrop transfer at resonant frequency is possible (i.e., 100% channel-drop efficiency), but enforcing degeneracy between the two resonant modes of different symmetry requires a complicated resonator design Min et al, 2004). The operation principle of four-port CDF designs with and without mirror-terminated waveguides, have matured over the years (Zhang & Qiu, 2004).…”

Section: Highly Efficient Channel-drop Filter With a Coupled Cavity-bmentioning

confidence: 99%

Design and Modeling of WDM Integrated Devices Based on Photonic Crystals

Fasihi¹

2012

Optical Communications Systems

View full text Add to dashboard Cite

“…While each cavity can each have a Faraday isolator to block the backward propagating photon, such implementation may not be easily scalable to a large-array of cavities. To obtain only forward transmission, here we examine theoretically a defect cavity system with accidental degeneracy (Fan et al, 1998;Xu et al, 2000;Min et al, 2004) as a generalized study of cavity-dipole-cavity systems, and which also provides close to 100% forward-only drop efficiency. This framework is also immediately applicable to non-reciprocal magnetooptic cavities which have larger fabrication tolerances.…”

Section: Theoretical Modelmentioning

confidence: 99%

Quantum Electrodynamics in Photonic Crystal Nanocavities towards Quantum Information Processing

Xiao¹,

Zou²,

Gong³

et al. 2010

Recent Optical and Photonic Technologies

View full text Add to dashboard Cite

We show that a scalable photonic crystal nanocavity array, in which single embedded quantum dots are coherently interacting, can perform as a universal single-operation quantum gate. In a passive system, the optical analogue of electromagnetically-induced-transparency is observed. The presence of a single two-level system in the array dramatically controls the spectral lineshapes. When each cavity couples with a two-level system, our scheme achieves two-qubit gate operations with high fidelity and low photon loss, even in the bad cavity limit and with non-ideal detunings.

show abstract

Channel drop filters using resonant tunneling processes in two-dimensional triangular lattice photonic crystal slabs

Cited by 56 publications

References 22 publications

An Electromagnetic Crystal Green Function Multiple Scattering Technique for Arbitrary Polarizations, Lattices, and Defects

An Electromagnetic Crystal Green Function Multiple Scattering Technique for Arbitrary Polarizations, Lattices, and Defects

Design and Modeling of WDM Integrated Devices Based on Photonic Crystals

Quantum Electrodynamics in Photonic Crystal Nanocavities towards Quantum Information Processing

Contact Info

Product

Resources

About