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Reciprocity Theorem and Fundamental Transfer Matrix
Farhang Loran, Ali Mostafazadeh
Stationary potential scattering admits a formulation in terms of the quantum dynamics generated by a non-Hermitian effective Hamiltonian. We use this formulation to give a proof of…
Dynamical formulation of low-frequency scattering in two and three dimensions
Farhang Loran, Ali Mostafazadeh
The transfer matrix of scattering theory in one dimension can be expressed in terms of the time-evolution operator for an effective non-unitary quantum system. In particular, it ad…
Scattering of TE and TM waves and quantum dynamics generated by non-Hermitian Hamiltonians
Farhang Loran, Ali Mostafazadeh
The study of the scattering of electromagnetic waves by a linear isotropic medium with planar symmetry can be reduced to that of their TE and TM modes. For situations where the med…
Can N-th Order Born Approximation Be Exact?
Farhang Loran, Ali Mostafazadeh
For the scattering of scalar waves in two and three dimensions and electromagnetic waves in three dimensions, we identify a condition on the scattering interaction under which the…