A single-sided circular polarized self-contained compound loop antenna, comprising: a magnetic loop located on a plane and configured to generate a magnetic field, wherein the magnetic loop has a first inductive reactance adding to a total inductive reactance of the compound loop antenna; a first electric field radiator located on the plane and configured to emit at a first frequency a first electric field orthogonal to the magnetic field, the first electric field radiator coupled to the magnetic loop and having a first orientation, wherein the first electric field radiator has a first capacitive reactance adding to a total capacitive reactance of the compound loop antenna, and wherein a first physical arrangement between the first electric field radiator and the magnetic loop results in a second capacitive reactance adding to the total capacitive reactance; a second electric field radiator located on the plane and configured to emit a second electric field at the first frequency, the second electric field being orthogonal to the magnetic field and orthogonal to the first electric field, the second electric field radiator coupled to the magnetic loop and having a second orientation orthogonal to the first orientation, wherein the second electric field radiator has a third capacitive reactance adding to the total capacitive reactance, wherein a second physical arrangement between the second electric field radiator and the magnetic loop results in a fourth capacitive reactance adding to the total capacitive reactance, and wherein the total inductive reactance substantially matches the total capacitive reactance; and wherein the first electric field radiator is coupled to the magnetic loop on a first side, and wherein a physical length of the first electric field radiator is less than a physical length of the second electric field radiator, further comprising a substantially rectangular stub directly coupled to a second side of the magnetic loop opposite the first side, the stub tuning an electrical length of the first electric field radiator to match an electrical length of the second electric field radiator. a magnetic loop located on a plane and configured to generate a magnetic field, wherein the magnetic loop has a first inductive reactance adding to a total inductive reactance of the compound loop antenna; a first electric field radiator located on the plane and configured to emit at a first frequency a first electric field orthogonal to the magnetic field, the first electric field radiator coupled to the magnetic loop and having a first orientation, wherein the first electric field radiator has a first capacitive reactance adding to a total capacitive reactance of the compound loop antenna, and wherein a first physical arrangement between the first electric field radiator and the magnetic loop results in a second capacitive reactance adding to the total capacitive reactance; a second electric field radiator located on the plane and configured to emit a second electric field at the first frequency, the second electric field being orthogonal to the magnetic field and orthogonal to the first electric field, the second electric field radiator coupled to the magnetic loop and having a second orientation orthogonal to the first orientation, wherein the second electric field radiator has a third capacitive reactance adding to the total capacitive reactance, wherein a second physical arrangement between the second electric field radiator and the magnetic loop results in a fourth capacitive reactance adding to the total capacitive reactance, and wherein the total inductive reactance substantially matches the total capacitive reactance; and wherein the first electric field radiator is coupled to the magnetic loop on a first side, and wherein a physical length of the first electric field radiator is less than a physical length of the second electric field radiator, further comprising a substantially rectangular stub directly coupled to a second side of the magnetic loop opposite the first side, the stub tuning an electrical length of the first electric field radiator to match an electrical length of the second electric field radiator.