University:
Santa Fe College
Course:
ETS 2527C | Electromechanical Components and Mechanisms
Academic year:

2024
Views:

491

Pages:

5
Author:

Jabin F.

Visual Elements: Equations: Multiple equations involving trigonometric functions and variables Eor, Eoi, θi, and θt. Diagram: A simple diagram illustrating the angles of incidence (θi) and transmission (θt) for a TM-wave. Textual Content: TM-Wave Equation: (Eor/Eoi) = (m2^2 * sinθi - m1^2 * cosθi) / (m2^2 * sinθi + m1^2 * cosθi) Simplified equation: (Eor/Eoi) = tan(θi - θt) / tan(θi + θt) If θi + θt = π/2, then tan(θi + θt) = ∞ Therefore, (Eor/Eoi) = 0 Brewster's Law Equation: (Eor/Eoi)₁₁ = 0 θi = θB = θp Snell's Law: sinθi/sinθt = n2/n1 θi + θt = 90° = π/2 θi = θB = θp sinθi/sin(90° - θi) = n2/n1 tanθB = n2/n1 Diagram: A coordinate system with x and y axes. A line representing the boundary between two media. An incident ray making an angle θi with the normal. A reflected ray making an angle θr with the normal. Labels for Eor, Eoi, θi, θt, θB, p, p, partially, and completely. Equations: Multiple equations involving trigonometric functions and variables Eor, Eoi, θi, θt, θB, m1, and m2. Graph: A plot of the phase shift φ|| as a function of the angle of incidence θi. Textual Content: TM-Wave Case 1: Wave traveling from rare to denser medium (m1 < m2) (a) If θi + θt = π/2, θi = θB: (Eor/Eoi)₁₁ = 0 (b) If θi + θt < π/2, θi < θB: (Eor/Eoi)₁₁ = -tan(θi - θt) / tan(θi + θt) Phase change (c) If θi + θt > π/2, θi > θB: (Eor/Eoi)₁₁ = +ve Equations: Multiple equations involving trigonometric functions and variables Eor, Eoi, θi, θt, θB, m1, and m2. Graph: A plot of the phase shift φ|| as a function of the angle of incidence θi. Diagram: A simple diagram illustrating the angles of incidence (θi) and reflection (θr) for a light ray at a boundary between two media. Textual Content: TM-Wave Case 2: Wave traveling from denser to rare medium (m1 > m2) (a) If θi = θB: (Eor/Eoi)₁₁ = 0 (b) If θi < θB: (Eor/Eoi)₁₁ = +ve (c) If θi > θB: (Eor/Eoi)₁₁ = -ve