A Variational Calculation of TE and TM Cutoff Wavenumbers in Circular Eccentric Guides by Conformal Mapping

The cutoff wavenumbers of higher order modes in circular eccentric guides are computed with the variational analysis combined with a conformal mapping. A conformal mapping is applied to the variational formulation, and the variational equation is solved by the finite-element method. Numerical results for TE and TM cutoff wavenumbers are presented for different distances between the centers and ratio of the radii. Comparisons with numerical results found in the literature validate the presented method

Invariant density for a class of initial distributions under quadratic mapping

For the discrete-time quadratic map xt+1=4xt(1-xt) the evolution equation for a class of non-uniform initial densities is obtained. It is shown that in the t to infinity limit all of them approach the invariant density for the map.

“Documentary Credit Law : An Indian Perspective"

This is a study in international trade law. Documentary credits are the most common method of payment for goods in international trade. In India also these instruments are used both in national and international trade. The law governing these transactions remains haphazard. This study identifies the deficiencies in the regulatory framework for documentary credits in India. It primarily focuses on those areas which exhibits a lack of equality and justice in its operation. An attempt has also been made to identify the rights and duties of parties involved in the transaction. The reasons for the increase of fraudulent activities associated with the documents executed in the documentary credit transactions are also examined. How far the law in India is sufficient to ensure fair business practice in international trade financing is also examined. Methodology adopted for the study is analytical. The statutory provisions, rules and case laws under these provisions have been examined. An empirical study by personal interview with the bankers is also made to ascertain the practice of bankers in India.