1. Consider the three layer planar dielectric waveguide a. 1₂ as: n₁ with refractive profile n(x) = Ey(x) = n₂ [m₂, \x/d

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1 Consider The Three Layer Planar Dielectric Waveguide A 1 As N With Refractive Profile N X Ey X N M X D 1 (311.8 KiB) Viewed 46 times

1. Consider the three layer planar dielectric waveguide a. 1₂ as: n₁ with refractive profile n(x) = Ey(x) = n₂ [m₂, \x/d/2 n₂₂ else For the TE case, with Ey component the only non-zero element, the general solution can be written where n₁ > ₂ A cos KX + B sin xx xd/2 Write down the boundary conditions that the TE general solution must satisfy at x = ±d/2. b. Derive the transcendental equations that relate u and v for the TE symmetric and anti-symmetric modes. Where d x² = kỏn? – ß²; α² = ß² −k²n² ; u=k=;v=a² - d