Consider an experiment in which a polarized beam of laser light is incident on a
ID: 2084035 • Letter: C
Question
Consider an experiment in which a polarized beam of laser light is incident on a plastic surface. Assume the plastic has a relative permittivity of r2 = 2.3 and a relative permeability of µr2 = 1. Write a MATLAB program to produce a plot of the theoretical magnitudes of the reflection coefficients for the cases of parallel and perpendicular polarization, | | vs i and | | vs i , respectively, for 0o i 90o.
r n cos 6-n, cos 6 cos -n cos n, cos n cos 6 112 cos 6 n cos 6, intrinsic impedance of a medium is n y(Alau,)/(EDE,)Explanation / Answer
We introduce and summarize several properties of thesoftware program entitled MATLAB.The topics in this summary have beenselected based on their later application in our study of electromagnetics.Youhave probably encountered MATLAB in other courses since the software iswidely used in the educational community.In addition, MATLAB is a tool that willpermit you to easily obtain pictures of electromagnetic.Our motivation in employing vectors is that electromagnetic fieldsare vector quantities and their use will permit us to use a fairly compact notationto represent sets of partial differential equations.
convenience of employing vector notation allows us visualizeproblems with or without the specification of a coordinate system. After choosingthe coordinate system that will most accurately describe the field, the field is thenspecified with the components determined with regard to this coordinate system.Coordinate systems that we will encounter later are Cartesian, cylindrical, andspherical. The derivations of vector operations will be performed in Cartesiancoordinates with the equivalent results just stated in the other systems. Thereare a large number of “orthogonal” coordinate systems and there is a generalizedorthogonal coordinate system. The term “orthogonal” implies that every point ina particular coordinate system can be defined as the intersection of threeorthogonal surfaces in that coordinate system.
A vector can be specified in MATLAB by stating its three components. Wewill use a capital letter to identify a vector in using MATLAB notation. Lower caseletters will be reserved for scalar quantities. This is not required but it does addclarity to the work. The unit vector is defined as a vector whose magnitude isequal to 1 and it is directed in the same direction as the vector. For example in aCartesian coordinate system