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We present monostatic sampling methods for limited-aperture scatteringproblems in two dimensions. The direct sampling method (DSM) is well known toprovide a robust, stable, and fast numerical scheme for imaging inhomogeneitiesfrom multistatic measurements even with only one or two incident fields.However, in practical applications, monostatic measurements in limited-apertureconfiguration are frequently encountered. A monostatic sampling method (MSM)was studied in full-aperture configuration in recent literature. In this paper,we develop MSM in limited-aperture configuration and derive an asymptoticformula of the corresponding indicator function. Based on the asymptoticformula, we then analyze the imaging performance of the proposed methoddepending on the range of measurement directions and the geometric, materialproperties of inhomogeneities. Furthermore, we propose a modified numericalscheme with multi-frequency measurements that improve imaging performance,especially for small anomalies. Numerical simulations are presented to validatethe analytical results.

Monostatic sampling methods in limited-aperture configuration