1 citations · 2 across the 5 of their papers we have counts for
5 papers
New Analytical Expressions for the Levi-Civita Symbol and Its Treatment as a Generalized Function
W. Astar
New analytical expressions are found for the Levi-Civita symbol using the Kronecker delta symbol. The expressions are derived up to 3 dimensions, extended to higher dimensions, and…
The Z-Transform of the Levi-Civita Symbol
W. Astar
A derivation of the Z-transform of the Levi-Civita symbol is carried out up to 3 dimensions, and generalized to higher dimensions. Using its Z-transforms, corresponding expressions…
A new analytical formula for the inverse of a square matrix
W Astar
A concise analytical formula is developed for the inverse of an invertible 3 x 3 matrix using a telescoping method, and is generalized to larger square matrices. The formula is con…
An Analytical Expression for the Effective Area of the Step-Index Single-Mode Optical Fiber
W. Astar
The nonlinear coefficient γ of the step-index single-mode fiber (SMF) is inversely proportional to the effective area of that fiber. An analytical expression for the effective area…
A New Compact Expression for the Powers of Hybrid Modes of the Step-Index Optical Fiber
W. Astar
A new, compact, and exact general expression is developed for the powers of hybrid EH- and HE-modes of the standard step-index optical fiber. The expression is found with the help…