Resonant Circuit with Improved Capacitor Quality Factor
A resonant circuit, configured to operate at a resonant frequency, includes a first arrangement providing a first equivalent capacitance ‘C’ and a second arrangement providing a first inductance. The first arrangement includes a quantity of ‘n’ capacitive elements connected in parallel, n being at least two, each of the n capacitive elements having a nominal capacitance approximately equal to C/n. The resonant frequency may exceed 1 GHz, the first equivalent capacitance may be at least 3 pF, and a composite Q factor of the first arrangement may be greater than 800. Whereas a single capacitive element having a capacitance of C may exhibit a Q factor equal to ‘Q1’, the composite Q factor of the first arrangement may be equal to ‘Q2’ where Q2 is substantially higher than Q1.
1 . A resonant circuit, configured to operate at a resonant frequency, and comprising:
a first arrangement providing a first equivalent capacitance ‘C’ and a second arrangement providing a first inductance; the first arrangement comprising:
a quantity of ‘n’ capacitive elements connected in parallel, n being at least two, each of the n capacitive elements having a nominal capacitance approximately equal to C/n.
2 . The resonant circuit of claim 1 , wherein at least one of the n capacitive elements has a fixed capacitance.
3 . The resonant circuit of claim 2 , wherein at least one of the n capacitive elements has a variable capacitance.
4 . The resonant circuit of claim 1 , wherein the resonant frequency is at least 1 GHz, the first equivalent capacitance is at least 3 pF, and a composite Q factor of the first arrangement is greater than 800.
5 . The resonant circuit of claim 4 , wherein the first arrangement is connected in parallel with the second arrangement.
6 . The resonant circuit of claim 4 , wherein the first arrangement is connected in series with the second arrangement.
7 . The resonant circuit of claim 4 , wherein at least one capacitive element is a varactor.
8 . The resonant circuit of claim 1 , wherein the resonant frequency is at least 1 GHz, the first equivalent capacitance is at least 12 pF, and a composite Q factor of the first arrangement is greater than 300.
9 . The resonant circuit of claim 1 , wherein a single capacitive element having a capacitance of C exhibits a Q factor equal to ‘Q1’, the composite Q factor of the first arrangement is equal to ‘Q2’, and Q2 is substantially higher than Q1.
10 . A resonant circuit, configured to operate at a resonant frequency, and comprising:
a first arrangement providing a first capacitance and a second arrangement providing a first inductance; wherein the resonant frequency is at least 1 GHz, the first capacitance is at least 3 pF, and a composite Q factor of the first arrangement is greater than 800.
11 . The resonant circuit of claim 10 , the first arrangement comprising:
a quantity of ‘n’ capacitive elements connected in parallel, n being at least two, each of the n capacitive elements having a nominal capacitance approximately equal to C/n.
12 . The resonant circuit of claim 11 , wherein at least one of the n capacitive elements has a fixed capacitance.
13 . The resonant circuit of claim 12 , wherein at least one of the n capacitive elements has a variable capacitance.
14 . The resonant circuit of claim 11 , wherein the resonant frequency is at least 1 GHz, the first equivalent capacitance is at least 3 pF, and a composite Q factor of the first arrangement is greater than 800.
15 . The resonant circuit of claim 11 , wherein the first arrangement is connected in parallel with the second arrangement.
16 . The resonant circuit of claim 11 , wherein the first arrangement is connected in series with the second arrangement.
17 . The resonant circuit of claim 11 , wherein at least one capacitive element is a varactor.
18 . The resonant circuit of claim 11 , wherein the resonant frequency is at least 1 GHz, the first equivalent capacitance is at least 12 pF, and a composite Q factor of the first arrangement is greater than 300.
19 . The resonant circuit of claim 11 , wherein a single capacitive element having a capacitance of C exhibits a Q factor equal to ‘Q1’, the composite Q factor of the first arrangement is equal to ‘Q2’, and Q2 is substantially higher than Q1.
20 . A resonant circuit, configured to operate at a resonant frequency, and comprising:
a first arrangement providing a first equivalent capacitance ‘C’ and a second arrangement providing a first inductance; the first arrangement comprising:
a quantity of ‘n’ capacitive elements connected in parallel, n being at least two, each of the n capacitive elements having a nominal capacitance approximately equal to C/n; wherein:
a single capacitive element having a capacitance of C exhibits a Q factor equal to ‘Q1’, the composite Q factor of the first arrangement is equal to ‘Q2’, and Q2 is substantially higher than Q1.