Bloch wave – MoM method the wave numbers in any of the 3 periodic coordinate directions. This can happen for example when the free space wavelength exactly equals the lattice spacing. This is a statistically rare occurrence in computational practice and corresponds to a propagation anomaly similar to a Wood's reflection anomaly for gratings. To compute bands of the crystal (i.e. "k"-"k" diagrams), successive values of frequency ("k") are tried - in conjunction with pre-selected values of propagation constant ("k") and propagation direction (θ & φ) - until a combination is found which drives the determinant of the matrix to zero. Equation (4.2) has been
Distance between two straight lines equations of two non-vertical parallel lines the distance between the two lines is the distance between the two intersection points of these lines with the perpendicular line This distance can be found by first solving the linear systems and to get the coordinates of the intersection points. The solutions to the linear systems are the points and The distance between the points is which reduces to When the lines are given by the distance between them can be expressed as Distance between two straight lines The distance between two straight lines in the plane is the minimum distance between any