Wireless energy transfer with high-Q sub-wavelength resonators
First Claim
1. A system of transferring electromagnetic energy comprising:
- a first electromagnetic resonator receiving energy from a power supply, said first electromagnetic resonator having a first mode with a resonant frequency ω
1, an intrinsic loss rate Γ
1, an inductance L1, and a first Q-factor Q1=ω
1L1/(R1ohm+R1rad), wherein R1ohm is the ohmic component of resistance in the first electromagnetic resonator and R1rad is the radiative component of resistance in the first resonator;
a second electromagnetic resonator being positioned distal from said first electromagnetic resonator and not electrically wired to the first electromagnetic resonator, said second electromagnetic resonator having a second mode with a resonant frequency ω
2, an intrinsic loss rate Γ
2, and inductance L2, and a second Q-factor Q2=ω
2L2/(R2ohm+R2rad), wherein R2ohm is the ohmic component of resistance in the second electromagnetic resonator and R2rad is the radiative component of resistance in the second electromagnetic resonator; and
wherein electromagnetic energy is wirelessly transferred from said first electromagnetic resonator to said second electromagnetic resonator over a distance D that is smaller than each of the resonant wavelengths λ
1 and λ
2 corresponding to the resonant frequencies ω
1 and ω
2, respectively,wherein √
{square root over (Q1Q2)}>
100, R1ohm>
R1rad, and R2ohm>
R2rad.
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Accused Products
Abstract
Described herein are embodiments of transferring electromagnetic energy that includes a first electromagnetic resonator structure receiving energy from an external power supply, said first resonator structure may have a first mode with a resonant frequency ω1, an intrinsic loss rate Γ1, and a first Q-factor Q1=ω1L1/R1ohm+R1rad). A second electromagnetic resonator structure being positioned distal from said first resonator structure and not electrically wired to the first resonator structure, said second resonator structure having a second mode with a resonant frequency ω2, an intrinsic loss rate Γ2, and a second Q-factor Q2=ω2L2/(R2ohm+R2rad). The electromagnetic energy may be transferred from said first resonator structure to said second resonator structure over a distance D that is smaller than each of the resonant wavelengths λ1 and λ2 corresponding to the resonant frequencies ω1 and ω2, respectively, where the characteristic sizes of the resonator structures are less than the resonant wavelengths and where Q1>100, Q2>100, R1ohm>R1rad, and R2ohm>R2rad.
448 Citations
48 Claims
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1. A system of transferring electromagnetic energy comprising:
-
a first electromagnetic resonator receiving energy from a power supply, said first electromagnetic resonator having a first mode with a resonant frequency ω
1, an intrinsic loss rate Γ
1, an inductance L1, and a first Q-factor Q1=ω
1L1/(R1ohm+R1rad), wherein R1ohm is the ohmic component of resistance in the first electromagnetic resonator and R1rad is the radiative component of resistance in the first resonator;a second electromagnetic resonator being positioned distal from said first electromagnetic resonator and not electrically wired to the first electromagnetic resonator, said second electromagnetic resonator having a second mode with a resonant frequency ω
2, an intrinsic loss rate Γ
2, and inductance L2, and a second Q-factor Q2=ω
2L2/(R2ohm+R2rad), wherein R2ohm is the ohmic component of resistance in the second electromagnetic resonator and R2rad is the radiative component of resistance in the second electromagnetic resonator; andwherein electromagnetic energy is wirelessly transferred from said first electromagnetic resonator to said second electromagnetic resonator over a distance D that is smaller than each of the resonant wavelengths λ
1 and λ
2 corresponding to the resonant frequencies ω
1 and ω
2, respectively,wherein √
{square root over (Q1Q2)}>
100, R1ohm>
R1rad, and R2ohm>
R2rad. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24)
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25. A method of transferring electromagnetic energy comprising:
-
providing a first electromagnetic resonator receiving energy from a power supply, said first electromagnetic resonator having a first mode with a resonant frequency ω
1, an intrinsic loss rate Γ
1, an inductance L1, and a first Q-factor Q1=ω
1L1/(R1ohm+R1rad), wherein R1ohm is the ohmic component of resistance in the first electromagnetic resonator and R1rad is the radiative component of resistance in the first electromagnetic resonator;providing a second electromagnetic resonator being positioned distal from said first electromagnetic resonator and not electrically wired to the first electromagnetic resonator, said second electromagnetic resonator having a second mode with a resonant frequency ω
2, an intrinsic loss rate Γ
2, and inductance L2, and a second Q-factor Q2=ω
2L2/(R2ohm+R2rad), wherein R2ohm is the ohmic component of resistance in the second electromagnetic resonator and R2rad is the radiative component of resistance in the second electromagnetic resonator; andtransferring electromagnetic energy wirelessly from said first electromagnetic resonator to said second electromagnetic resonator over a distance D that is smaller than each of the resonant wavelengths λ
1 and λ
2 corresponding to the resonant frequencies ω
1 and ω
2, respectively,wherein √
{square root over (Q1Q2)}>
100, R1ohm>
R1rad, and R2ohm>
R2rad. - View Dependent Claims (26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48)
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Specification