We present the design, processing and testing of W-band finite Grounded Frequency Selective Surface (FSS). With commercial software CADs, infinite arrays can only be simulated but for FSS design there is a need for design of finite arrays. As the simulations couldnot provide direct insight into the relevant physics, we heuristically investigated designs with intermediate complexity; from infinite array towards the finite arrays, finding out the effects of finiteness and effects of array elements on the results. We fabricated the corresponding FSS arrays on quartz substrate with etching techniques, and characterized the vector S-parameters with a free space MVNA.