• John Daniel

Abstract: In this article a simpler and widely applicable analytical method of solution is presented to shallow water wave guide problems. In this article the method of separation of variables is proved to be applicable to solve waveguide problems with variable boundaries and medium. Applications of the method to solve waveguide problems in acoustic, radio and optical frequencies and more general models of waveguides are also explained. The solution by perturbation methods and the method of separation of variables presented does not express the frequency spectrum of the acoustic signal in the explicit manner. Therefore, a simple and widely applicable method of solution is presented in the 4th section to such wave guide problems which express the frequency spectrum of the acoustic signal very explicitly.

Waveguides with surface waves, Perturbation methods, frequency spectrum and Method of separation of variables.

"A New Method of Separation of Variables and it's applications", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 6, page no.551-555, August-2019, Available :http://www.jetir.org/papers/JETIR1907076.pdf

"A New Method of Separation of Variables and it's applications", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 6, page no. pp551-555, August-2019, Available at : http://www.jetir.org/papers/JETIR1907076.pdf