2004
DOI: 10.1364/ao.43.006124
|View full text |Cite
|
Sign up to set email alerts
|

Extended lattice filters enabled by four-directional couplers

Abstract: Novel lattice-filter structures consisting of four-directional couplers are introduced, analyzed, and discussed. Four-directional couplers are discussed, and energy-conservation relations in a field-wave application are derived. A thick linear lattice filter is presented and studied as a simple extension to the traditional lattice. A two-dimensional lattice structure is also introduced and studied. Transfer functions are derived and discussed for several examples.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
3
1
1

Citation Types

0
10
0

Year Published

2004
2004
2018
2018

Publication Types

Select...
5
3

Relationship

3
5

Authors

Journals

citations
Cited by 14 publications
(10 citation statements)
references
References 15 publications
0
10
0
Order By: Relevance
“…The four-port couplers simulated here are symmetric and without loss, yielding three conditions for energy conservation, based on equal magnitudes of total incident time-average Poynting vectors and total reflected and transmitted time-average Poynting vectors [15,23]: α2+β2+ρ2+τ2=1 2αβ+2ρτ=0 τ(α+β)+ρ(α+β)=0…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…The four-port couplers simulated here are symmetric and without loss, yielding three conditions for energy conservation, based on equal magnitudes of total incident time-average Poynting vectors and total reflected and transmitted time-average Poynting vectors [15,23]: α2+β2+ρ2+τ2=1 2αβ+2ρτ=0 τ(α+β)+ρ(α+β)=0…”
Section: Resultsmentioning
confidence: 99%
“…The 2 × 2 four-port coupler may support up to four input signals and produce four output signals for each input. At each coupler port, there is a reflected component, ρ , a transmitted component, τ , a right-directed component, α , and a left-directed component, β [15]. The varied manner in which these couplers may be arranged, yields very rich optical characteristics.…”
Section: Introductionmentioning
confidence: 99%
“…This range will be bounded on one end by the noise figure and stability on the other. In addition, theoretical and experimental work is also underway in two-dimensional active lattice filters based on four-directional couplers [14]. …”
Section: Conclusion and Future Researchmentioning
confidence: 99%
“…The resultant barrier allows a precise splitting of the incident mode into two continuing waveguides without perturbing the mode shape and suffering the associated loss. The design was a simple building block for a channelizer architecture [2][3][4]. The characteristic bandpass and notch filter responses of the outputs are the basis of a channelizer architecture.…”
Section: Introductionmentioning
confidence: 99%