A method to determine a formation property using a synthesized response of a desired electromagnetic antenna array, comprising: providing a first electromagnetic antenna array comprising at least one array transmitter and at least two array receivers distributed about a point; transmitting an electromagnetic signal from the antenna array transmitter; receiving the electromagnetic signal at the array receivers; combining the received signals from the antenna array receivers to produce an antenna array direct voltage response at the point; characterized by: further providing a second antenna array comprising at least one array transmitter and at least two array receivers distributed about the point, so as to provide first and second antenna arrays; transmitting a first signal from the first antenna array transmitter; receiving the first signal at two or more first antenna array receivers; combining the received signals from the first antenna array receivers to produce a first antenna array direct voltage response at the point and a first antenna array derivative voltage response with respect to distance from the transmitter at the point; transmitting a second signal from a second antenna array transmitter; receiving the second signal at two or more second antenna array receivers; combining the received signals from the second antenna array receivers to produce a second antenna array direct voltage response at the point and a second antenna array derivative voltage response with respect to distance from the transmitter at the point; synthesizing a voltage response of the desired antenna array at the point using the direct voltage responses and derivative voltage responses of the first and second antenna arrays; and determining the formation property using the synthesized voltage response. providing a first electromagnetic antenna array comprising at least one array transmitter and at least two array receivers distributed about a point; transmitting an electromagnetic signal from the antenna array transmitter; receiving the electromagnetic signal at the array receivers; combining the received signals from the antenna array receivers to produce an antenna array direct voltage response at the point; characterized by: further providing a second antenna array comprising at least one array transmitter and at least two array receivers distributed about the point, so as to provide first and second antenna arrays; transmitting a first signal from the first antenna array transmitter; receiving the first signal at two or more first antenna array receivers; combining the received signals from the first antenna array receivers to produce a first antenna array direct voltage response at the point and a first antenna array derivative voltage response with respect to distance from the transmitter at the point; transmitting a second signal from a second antenna array transmitter; receiving the second signal at two or more second antenna array receivers; combining the received signals from the second antenna array receivers to produce a second antenna array direct voltage response at the point and a second antenna array derivative voltage response with respect to distance from the transmitter at the point; synthesizing a voltage response of the desired antenna array at the point using the direct voltage responses and derivative voltage responses of the first and second antenna arrays; and determining the formation property using the synthesized voltage response. further providing a second antenna array comprising at least one array transmitter and at least two array receivers distributed about the point, so as to provide first and second antenna arrays; transmitting a first signal from the first antenna array transmitter; receiving the first signal at two or more first antenna array receivers; combining the received signals from the first antenna array receivers to produce a first antenna array direct voltage response at the point and a first antenna array derivative voltage response with respect to distance from the transmitter at the point; transmitting a second signal from a second antenna array transmitter; receiving the second signal at two or more second antenna array receivers; combining the received signals from the second antenna array receivers to produce a second antenna array direct voltage response at the point and a second antenna array derivative voltage response with respect to distance from the transmitter at the point; synthesizing a voltage response of the desired antenna array at the point using the direct voltage responses and derivative voltage responses of the first and second antenna arrays; and determining the formation property using the synthesized voltage response.