国家自然科学基金重点项目(U1831201)
国家重点研发计划(2017YFE0128200)
陕西省国际科技合作计划项目(2019KW-003)
江西省自然科学基金重点项目(2017ACB20019)
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Figure 1
(Color online) (a) Basic SIR unit under balanced excitation; (b) differential-mode analysis circuit; (c) common-mode analysis circuit
Figure 2
(Color online) Simulated resonant frequencies distribution of the SIR with different impedance ratio. (a) DM excitation; (b) CM excitation
Figure 3
(Color online) (a) Mixed E$\&$M coupled SIR pair with different impedance ratio (type I); equivalent circuits of type I under differential-mode (b) and common-mode (c) excitation
Figure 4
(Color online) (a) DM coupling schematic of type I; (b) extracted DM and CM coupling coefficients $k_{a,b}^{d}$ and $k_{a,b}^{c}$ versus coupling gap $s_M$ with $s_E=0.2$ mm
Figure 5
(Color online) (a) E-dominant coupled SIR pair with large magnetic-coupling space (type II). Equivalent circuits of type II under differential-mode (b) and common-mode (c) excitation
Figure 6
(Color online) (a) DM coupling schematic of type II; (b) extracted DM and CM coupling coefficients $k_{b,c}^{d}$ and $k_{b,c}^{c}$ versus coupling gap $s_{E1}$ ($d_{E1}=1.18$ mm) and displacement distance $d_{E1}$ ($s~_{E1}=0.4$ mm)
Figure 7
(Color online) (a) M-dominant coupled SIR pair with large electric-coupling space (type III). Equivalent circuits of type III under differential-mode (b) and common-mode (c) excitation
Figure 8
(Color online) (a) DM coupling schematic of type III; (b) extracted DM and CM coupling coefficients $k_{c,c}^{d}$ and $k_{c,c}^{c}$ versus coupling gap $s_{M1}$
Figure 9
(Color online) Comparison of CM suppression of the three coupled SIR pairs
Figure 10
(Color online) (a) Proposed 6-order narrow-band Chebyshev balanced BPF; (b) the corresponding DM half-circuit coupling schematic
Figure 11
(Color online) (a) Simulated DM and CM external $Q$-factors against the tapped feedline position $d_t$ on the I/O resonators; (b) frequency responses of the 6th-order Chebyshev balanced BPF
Figure 12
(Color online) Proposed 6th-order narrow-band balanced BPF using cross coupling (unit: mm)
Figure 13
(Color online) (a) The corresponding cross coupling path I in Figure
Figure 14
(Color online) Variation of the TZs changed with different coupled line spaces $s_{\rm~CL}$
Figure 15
(Color online) (a) Photograph of the fabricated HTS Filter; (b) measurement and simulation results of the fabricated HTS filter
Figure 16
(Color online) (a) Extended view of DM frequency responses of the fabricated HTS filter; (b) extended view of CM frequency responses of the fabricated HTS filter
| Coupling type | 1st DM harmonic | CM level@$f_{0}^{d}$ | Weak coupling area | Transmission path | Phase delay | |
| Type I | E$\&$M | Dispersed | $-$30 dB | Around point $P$ | Dual | +180$^{\circ}$ |
| Type II | E | 5.0$f_{0}^{d}$ | $-$30 dB | Increasing $s_{E1}$ | Single | $-$90$^{\circ}$ |
| Type III | M | 5.0$f_{0}^{d}$ | $-$75 dB | Increasing $s_{E1}$ | Single | +90$^{\circ}$ |
| $f~<~f_0^d$ | $f~>~f_0^d$ | |
| makecell[c]Outer route$R_{a}~\rightarrow~J_{a,~b}~\rightarrow~R_{b}~\rightarrow~J_{b,~c}~\rightarrow~R_{c}\rightarrow~K_{c,~c}$ $\rightarrow~R_{c}~\rightarrow~J_{b,~c}~\rightarrow~R_{b}~\rightarrow~J_{a,~b}~\rightarrow~R_{a}$ | makecell[c]+90$^{\circ}$+90$^{\circ}$+ 90$^{\circ}$+90$^{\circ}$ +90$^{\circ}$$-$90$^{\circ}$+90$^{\circ}$+90$^{\circ}$ +90$^{\circ}$+90$^{\circ}$+90$^{\circ}$ =+810$^{\circ}$ | makecell[c]$-$90$^{\circ}$+90$^{\circ}$$-$90$^{\circ}$+90$^{\circ}$ $-$90$^{\circ}$$-$90$^{\circ}$$-$90$^{\circ}$+90$^{\circ}$$-$90$^{\circ}$ +90$^{\circ}$$-$90$^{\circ}$=$-$270$^{\circ}$ |
| makecell[c]Inner route$R_{a}~\rightarrow~K_{a,~b}~\rightarrow~R_{b}~\rightarrow~J_{b,~c}~\rightarrow~R_{c}\rightarrow~K_{c,~c}$ $\rightarrow~R_{c}~\rightarrow~J_{b,~c}~\rightarrow~R_{b}~\rightarrow~K_{g,~b}~\rightarrow~R_{a}$ | makecell[c]+90$^{\circ}$$-$90$^{\circ}$+ 90$^{\circ}$+90$^{\circ}$ +90$^{\circ}$$-$90$^{\circ}$+90$^{\circ}$+90$^{\circ}$ +90$^{\circ}$$-$90$^{\circ}$+90$^{\circ}$=+450$^{\circ}$ | makecell[c]$-$90$^{\circ}$$-$90$^{\circ}$$-$90$^{\circ}$+90$^{\circ}$ $-$90$^{\circ}$$-$90$^{\circ}$$-$90$^{\circ}$+90$^{\circ}$ $-$90$^{\circ}$$-$90$^{\circ}$$-$90$^{\circ}$=$-$630$^{\circ}$ |
| Phase difference | +360$^{\circ}$ | +360$^{\circ}$ |
| Result | In-phase, none TZs | In-phase, none TZs |
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