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The x-axis acts as a boundary interface between two lossless media. The incident ray travels below the negative z-axis from the medium 1 (epsilon sub 1 equals 1, micro sub 1 equals 1) to the origin with incident angle theta sub I and reflects back to the medium 1 above the negative z-axis with reflected angle theta sub r. The wave partially transmitted in the medium 2 (epsilon sub r 2 equals 2.55 and micro sub r 2 equals 1) above the z-axis with an angle theta sub t. The incident ray is labeled, K sub I, the reflected ray is labeled, K sub r, and the transmitted ray is labeled, K sub t. The parallel components of the incident ray are E sup i at H sup i. The parallel components of the reflected ray are E sup r at H sup r. The parallel components of the transmitted ray are E sup t at H sup t.

An Electric field- reflection coefficient magnitude versus degrees graph shows an angle of incidence. The vertical axis shows the absolute value of start expression upper gamma E end expression. The curve descends from (0, 0.3) to (55, 0), and then rises up to (90, 1). All values are estimated.

Input parameters.

Medium 1, F equals 1.09 hertz. Epsilon sub r equals 1. Micro sub r equals 1.

Medium 2. Epsilon sub r equals 2.55. Micro sub r equals 1.

Polarization equals parallel. Incident transverse field equals In.

Field equals Electric. Plot equals the absolute value of gamma and the absolute value of tau.

The angle of incidence equals 45 degrees.

Output parameters.

Incident angle, theta sub I equals 45 degrees. Refraction angle, theta sub r equals 26.2831 degrees.

Electric field. Reflection coefficient equals upper gamma equals negative 0.1148 plus j 0.0. Transmission coefficient, tau equals 0.6981 plus j 0.0.

Magnetic field. Reflection coefficient equals upper gamma equals 0.1148 plus j 0.0. Transmission coefficient, tau equals 1.1148 plus j 0.0.

Power. Reflectivity, R equals 0.013177. Transmissivity, T equals 0.986823

Total transmission angle (Brewster angle), theta sub b equals 57.944 degrees.

Total reflection angle (critical angle), theta sub 0 equals undefined.