The following are patents on Proximity type detectors including BFO, energy theft, and off-resonance.

Download Patent # Title Description
PDF 515K US3355658 Differentiating Metal Detector for Detecting Metal Objects and Distinguishing Between Detected Diamagnetic and Non-Diamagnetic Objects Gardiner, VLF BFO
PDF 635K US3467855 Object Detector and Method for Distinguishing Between Objects Detected Including a Pair of Radio Oscillators Basic BFO
PDF 229K US3519919 Frequency Stabalizing Element for Metal Detectors
PDF 329K US3546628 Oscillating Metal Object Detector Simplest detector on earth
PDF 313K US3601691 Metal Detector Responsive to Small Metallic Objects for Differentiating Between Ferrous and Non-Ferrous Objects Gardiner, Z-response
PDF 522K US3626279 Metal Detector Utilyzing Radio Receiver and Harmonic Signal Generator Harmonic technique increases sensitivity
PDF 801K US3662255 Apparatus for Locating Concealed or Buried Metal Bodies and a Stable Inductor Usable in Such Detectors Garrett Zero-Drift BFO
PDF 582K US3742341 Inductively Coupled Metal Detector Arrangement Appears to be an off-resonance technique
PDF 1096K US3823365 Metal Detecting Apparatus Having Improved Ground-Effect Immunity Uses induction balance
PDF 529K US3875498 Metal Detector for Distinquishing Between Precious Metal Objects and Other Metals D-Tex patent, your real basic BFO.
PDF 902K US3896371 Metal Detector With a Resonating Circuit Being Driven by a Frequency Higher Than Its Natural Resonance Frequency A.H. Electronics, off-resonance type (AH Pro)
PDF 345K US3961238 Selective Metal Detector Circuit Having Dual Tuned Resonant Circuits Gardiner, very basic Z-response
PDF 621K US3986104 Dual Frequency Metal Detector System Gardiner
PDF 694K US4130792 Metal Detector With Feedback Tuning Z-response with feedback
PDF 1202K US4196391 Metal Locator with Stereotonic Indication of Translateral Position Stereo BFO.
PDF 516K US4204160 Metal Detector With Automatic Optimum Sensitivity Adjustment
PDF 1276K US4255710 Plural Search Frequency Directional Metal Detector Apparatus Having Enhanced Sensitivity Uses two gated oscillator frequencies (I think).
PDF 779K US4263553 Discriminating Metal Detector With Compensation for Ground Minerals A.H. Electronics, off-resonance detector
PDF 1232K US4321539 Digital BFO Metal Detecting Device with Improved Sensitivities at Near-Zero Beat Frequencies
PDF 1134K US4439734 Metal Object Locator Including Frequency Shift Detector Induction balance and ground balance.
PDF 925K US4678992 Electronic Metal Detector A.H. Electronics, off-resonance type (Super Pro?)
PDF 148K US5025227 Metal Detection Circuit Appears to be off-resonance
PDF 117K US7068028 Method and Apparatus for Metal Target Proximity Detection at Long Distances Appears to be a variation of energy theft, which is akin to frequency shift methods.