主权项 |
1. A method comprising:
providing a first coil within a drill collar; providing a second coil in the moveable member; coupling the first and second coils with a coupling coefficient, k, wherein, k=M/√{square root over (L1L2)}≦0.9, M is a mutual inductance between the first and second coils, L1 is a first self-inductance of the first coil, and L2 is a second self-inductance of the second coil; and resonantly tuning the first coil at a first frequency, f1, with a first capacitance, C1, and the second coil at a second frequency, f2, with a second capacitance, C2, wherein f1 is approximately equal to f2,f1=12πL1C1andf2=12πL2C2; wherein the first and second coils have a figure of merit, U, whereinU=kQ1Q2≥3,Q1=2πf1L1R1,Q2=2πf2L2R2, Q1 and Q2 comprise respective quality factors associated with the first and second coils, and R1 and R2 comprise respective resistances of the first and second coils. |