Temporal Coupled-Mode Theory of Electromagnetic Components Described by Magnetic Groups of Symmetry

Dmitriev, Victor; Portela, Gianni; Martins, Leno

doi:10.1109/tmtt.2017.2777981

Cited by 10 publications

(10 citation statements)

References 15 publications

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“…One can see from Figure 12 that there is a good agreement between the analytical results obtained from Equations ( 4 )–( 6 ) and those obtained from the two-dimensional simulations performed with COMSOL Multiphysics. In our TCMT calculations we have considered that

rad/s and that the condition

is satisfied [ 21 ].…”

Section: Resultsmentioning

confidence: 99%

“…The results derived from these formulas are in good agreement with those obtained from our computational simulations, as shown in Figure 12 . More details concerning the TCMT method and its application to the analysis of nonreciprocal devices are given in [ 21 ].…”

Section: Discussionmentioning

confidence: 99%

“…A general TCMT based model for a W-circulator with low symmetry described by a single antiunitary element is presented in [ 21 ]. The suggested model can be easily adapted for our case with three-fold rotational symmetry by considering that

, where

and

are the phases of the S-matrix entries

and

, respectively.…”

Section: Scattering Matrix Analysis Of the Devicementioning

confidence: 99%

“…The suggested model can be easily adapted for our case with three-fold rotational symmetry by considering that

, where

and

are the phases of the S-matrix entries

and

, respectively. Therefore, the TCMT equations for the calculation of the circulator S-matrix are [ 21 ]:

where

, and

are the resonant frequency of the

mode, the decay rate of the

mode, the resonant frequency of the

mode, and the decay rate of the

mode, respectively. In our case,

and

are counter-rotating dipole modes.…”

Section: Scattering Matrix Analysis Of the Devicementioning

confidence: 99%

“…An interesting result that can be directly derived from Equations ( 4 )–( 6 ) is the formula for the fractional bandwidth of the circulator [ 21 ]. It can be shown that:

where

is the absolute bandwidth,

is the center frequency,

, and k is a constant whose value depends only on the reference isolation level (usually −10 dB or −15 dB).…”

Section: Scattering Matrix Analysis Of the Devicementioning

confidence: 99%

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Magnetless Optical Circulator Based on an Iron Garnet with Reduced Magnetization Saturation

2021

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A three-port circulator for optical communication systems comprising a photonic crystal slab made of a magneto-optical material in which an magnetizing element is not required to keep its magnetic domains aligned is suggested for the first time. By maximizing the incorporation of europium to its molecular formula, the magneto-optical material can remain in the saturated magnetic state even in the absence of an external DC magnetic field. Two- and three-dimensional simulations of the device performed with full-wave electromagnetic solvers based on the finite element method demonstrate that, at the 1550 nm wavelength, the insertion loss, isolation, and reflection levels are equal to or better than −1 dB, −14 dB, and −20 dB, respectively. Since its operation does not require an electromagnet or a permanent magnet, the suggested circulator is much more compact, being able to reach footprints in the range of three orders of magnitude smaller, when compared to other circulator designs referred to in the literature and the presented results can be useful for the design of other nonreciprocal devices with reduced dimensions for optical communication systems.

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rad/s and that the condition

is satisfied [ 21 ].…”

Section: Resultsmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

, where

and

are the phases of the S-matrix entries

and

, respectively.…”

Section: Scattering Matrix Analysis Of the Devicementioning

confidence: 99%

“…The suggested model can be easily adapted for our case with three-fold rotational symmetry by considering that

, where

and

are the phases of the S-matrix entries

and

, respectively. Therefore, the TCMT equations for the calculation of the circulator S-matrix are [ 21 ]:

where

, and

are the resonant frequency of the

mode, the decay rate of the

mode, the resonant frequency of the

mode, and the decay rate of the

mode, respectively. In our case,

and

are counter-rotating dipole modes.…”

Section: Scattering Matrix Analysis Of the Devicementioning

confidence: 99%

“…An interesting result that can be directly derived from Equations ( 4 )–( 6 ) is the formula for the fractional bandwidth of the circulator [ 21 ]. It can be shown that:

where

is the absolute bandwidth,

is the center frequency,

, and k is a constant whose value depends only on the reference isolation level (usually −10 dB or −15 dB).…”

Section: Scattering Matrix Analysis Of the Devicementioning

confidence: 99%

See 3 more Smart Citations