Space-bandwidth-efficient realizations of linear systems

Candan, Çağatay
One can obtain either exact realizations or useful approximations of linear systems or matrix-vector products that arise in many different applications by implementing them in the form of multistage or multichannel fractional Fourier-domain filters, resulting in space-bandwidth-efficient systems with acceptable decreases in accuracy. Varying the number and the configuration of filters enables one to trade off between accuracy and efficiency in a flexible manner. The proposed scheme constitutes a systematic way of exploiting the regularity or structure of a given linear system or matrix, even when that structure is not readily apparent. (C) 1998 Optical Society of America.


Geometric measures of entanglement
UYANIK, KIVANÇ; Turgut, Sadi (American Physical Society (APS), 2010-03-01)
The geometric measure of entanglement, which expresses the minimum distance to product states, has been generalized to distances to sets that remain invariant under the stochastic reducibility relation. For each such set, an associated entanglement monotone can be defined. The explicit analytical forms of these measures are obtained for bipartite entangled states. Moreover, the three-qubit case is discussed and it is argued that the distance to the W states is a new monotone.
Exact Pseudospin Symmetric Solution of the Dirac Equation for Pseudoharmonic Potential in the Presence of Tensor Potential
AYDOĞDU, OKTAY; Sever, Ramazan (Springer Science and Business Media LLC, 2010-04-01)
Under the pseudospin symmetry, we obtain exact solution of the Dirac equation for the pseudoharmonic potential in the presence of the tensor potential with arbitrary spin-orbit coupling quantum number kappa. The energy eigenvalue equation of the Dirac particles is found and the corresponding radial wave functions are presented in terms of confluent hypergeometric functions. We investigate the tensor potential dependence of the energy of the each state in the pseudospin doublet. It is shown that degeneracy b...
Nondipolar effects in the photoionization dynamics of carbon tetrafluoride
Toffolı, Danıele; Decleva, Piero (American Physical Society (APS), 2008-12-01)
The linear combination of atomic orbitals approach to the calculation of the molecular continuum spectrum with B-spline basis functions has been applied to the calculation of the first-order nondipolar corrections to the photoelectron angular distributions from carbon tetrafluoride. Dipolar and nondipolar asymmetry parameter profiles have been calculated for every single-particle orbital ionization. A comparison with the available experimental data gives good agreement for the dipolar asymmetry parameter. N...
Step-up and Step-down Operators of a Two-Term Molecular Potential Via Nikiforov-Uvarov Method
Arda, Altug; Sever, Ramazan (Springer Science and Business Media LLC, 2014-04-01)
The creation and annihilation operators of a two-term diatomic molecular potential are studied and it is observed that they satisfy the commutation relations of a SU(1,1) algebra. To study the Lie algebraic realization of the present potential, the normalized eigenfunctions and eigenvalues are computed by using the Nikiforov-Uvarov method.
Advanced Design of Schottky Photodiodes in Bulk CMOS for High Speed Optical Receivers
Orsel, Ogulcan Emre; Erdil, Mertcan; Kocaman, Serdar (Institute of Electrical and Electronics Engineers (IEEE), 2020-02-01)
This paper provides theoretical insight on how circular Schottky photodiodes in bulk CMOS can be optimized for certain integrated receiver applications. An optimal photodiode size is analytically demonstrated and the effects of a metal plate reflector are simulated using a transfer-matrix method, both for frontside and backside illumination. Finally, a distributed circuit model is presented, which deviates from the classical lumped model for large photodiodes or sheet resistances. The presented methodologie...
Citation Formats
M. KUTAY, M. ERDEN, H. OZAKTAS, O. ARIKAN, O. GULERYUZ, and Ç. Candan, “Space-bandwidth-efficient realizations of linear systems,” OPTICS LETTERS, pp. 1069–1071, 1998, Accessed: 00, 2020. [Online]. Available: