A Review on the Development of Rotman Lens Antenna

Table 2

Design parameters for the lens with substrate.

𝑤√𝑥=𝜀𝑒(1−𝑔)(𝑔−𝑎𝑜)√𝜀𝑟−𝑛^2𝜀𝑖𝑏𝑜^22(𝑔−𝑎𝑜)𝜀𝑟
𝑛√𝑦=𝜀𝑖√𝜀𝑟𝑤√1−𝜀𝑒√𝜀𝑟
𝜀𝑎=^𝑒𝜀𝑟1−𝑔^2𝑔−𝑎𝑜^2+𝑛^2𝜀𝑖𝜀𝑟−1
√𝑏=𝜀𝑒√𝜀𝑟(1−𝑔)(𝑔−𝑎𝑜)∗𝑛^2𝜀𝑖𝑏𝑜^2(𝑔−𝑎𝑜)𝜀𝑟−2𝑛^2𝜀𝑖𝜀𝑟+2𝑔+2𝑔(1−𝑔)(𝑔−𝑎𝑜)
𝑛𝑐=^4𝜀𝑖^2𝑏𝑜^44𝑔−𝑎𝑜^2𝜀𝑟^2+𝑛^2𝜀𝑖𝜀𝑟−𝑔𝑛^2𝜀𝑖𝑏𝑜^2(𝑔−𝑎𝑜)𝜀𝑟
𝑤=−𝑏±𝑏^2−4𝑎𝑐2𝑎