What is claimed is:1. A phased array antenna system comprising:a plurality of microstrip antenna elements arranged in a two-dimensional array with a first plurality of corner antenna elements, a second plurality of edge antenna elements, and a third plurality of central antenna elements, the third plurality of central antenna elements being completely surrounded by the first plurality of corner antenna elements and the second plurality of edge antenna elements, each microstrip antenna element including a conductive patch disposed on a dielectric substrate, wherein the dielectric substrates of all of the first plurality of corner antenna elements have a first dielectric constant that is lower than a dielectric constant of the dielectric substrates of the second plurality of edge antenna elements and the third plurality of central antenna elements.2. The phased array antenna system of claim 1 wherein the dielectric substrate of each corner antenna element of the first plurality of corner antenna elements includes a frame structure having a plurality of cavities formed therein.3. The phased array antenna system of claim 2 wherein sizes of the plurality of cavities vary laterally across the dielectric substrate.4. The phased array antenna system of claim 3 wherein the sizes of the plurality of cavities decrease outwardly from a center of the dielectric substrate.5. The phased array antenna system of claim 1 wherein the dielectric substrates of the second plurality of edge antenna elements each has a second dielectric constant and the dielectric substrates of the third plurality of central antenna elements each has a third dielectric constant, the second dielectric constant being higher than the first dielectric constant, and the third dielectric constant being higher than the second dielectric constant.6. The phase array antenna system of claim 1 wherein the dielectric substrate is a multi-layer dielectric substrate, and wherein the conductive patch includes a top patch disposed on a first surface of the multi-layer dielectric substrate and a bottom patch disposed within the multi-layer dielectric substrate below the top patch.7. The phased array antenna system of claim 6 wherein each microstrip antenna element further includes a ground plane disposed on a second surface of the multi-layer dielectric substrate below the bottom patch.8. The phased array antenna system of claim 7 wherein each microstrip antenna element further includes a waveport configured to couple RF signals into and out of the microstrip antenna element.9. The phase array antenna system of claim 8 wherein the waveport includes an RF stripline feed and H-shaped open aperture on the ground plane.10. The phased array antenna system of claim 1 wherein the dielectric substrates of the first plurality of corner antenna elements each has a density that is lower than a density of the dielectric substrates of the second plurality of edge antenna elements and the third plurality of central antenna elements.11. The phased array antenna system of claim 1, wherein the plurality of microstrip antenna elements comprise a plurality of stacked-patch microstrip antenna elements arranged in a two-dimensional array, each stacked-patch microstrip antenna element of the plurality of stacked-patch microstrip antenna elements including a pair of conductive patches disposed above a ground plane on a dielectric substrate.12. The phased array antenna system of claim 11 wherein the dielectric substrate of the corner stacked-patch microstrip antenna elements in the array has a density lower than a density of the dielectric substrate of the non-corner stacked-patch microstrip antenna elements in the array.13. The phased array antenna system of claim 12 wherein the dielectric substrate of the corner stacked-patch microstrip antenna elements in the array includes a plurality of cavities arranged in a regular pattern laterally across the dielectric substrate.14. The phased array antenna system of claim 13 wherein sizes of the plurality of cavities decrease outwardly from a center of the dielectric substrate.15. The phased array antenna system of claim 11 wherein the dielectric substrate is a multi-layer dielectric substrate, and wherein the pair of conductive patches includes a top patch disposed on a first surface of the multi-layer dielectric substrate and a bottom patch aligned with the top patch and disposed within the multi-layer dielectric substrate between the top patch and the ground plane.16. The phased array antenna system of claim 1, wherein the first dielectric constant of the first plurality of corner elements is less than any dielectric constant of the second plurality of edge elements, the dielectric constant of any of the second plurality of edge elements being less than any dielectric constant of the third plurality of central elements.17. The phased array antenna system of claim 1, wherein the first plurality of corner antenna elements includes four corner antenna elements.18. The phased array antenna system of claim 1, wherein the first plurality of corner antenna elements includes all of the corner antenna elements.19. The phased array antenna system of claim 1, wherein all of the first plurality of corner elements have substantially the same dielectric constant.