Analytical approaches to the description of optical microresonator devices

• Modes of bent slab waveguides
• Coupler configurations
• Rectangular microresonator
• Waveguide facets
• Standing wave filter
• Grating assisted resonator
• Resonator with perpendicular ports

 

Bend modes

nb = 1.45, ng = 1.6, b = 1.0 µm, λ = 1.55 µm; TE.   R = 1000 µm, R = 50 µm, R = 10 µm.

 

Coupler configurations

nb = 1.45, ng = 1.6, b = 1.0 µm, s = 1.0 µm, λ = 1.55 µm; TE.   R = 50 µm,   g = 0.9 µm, R = 50 µm,   g = 0.12 µm, R = 200 µm,   g = 0.12 µm.

 

Microresonator with rectangular cavity

nb = 1.45, ng = 3.40, w = 0.112 µm, g = 0.450 µm, W = 2.524 µm, L = 5.738 µm; TE.   λ = 1.53 µm, λ = 1.55 µm.

 

Waveguide facets

nb = 1.45, ng = 3.40, W = 2.524 µm, λ = 1.55 µm; TE.   TE6, TE8, TE6 + a TE8.

 

Standing wave filter

nb = 1.0, ng = 3.2, w = 0.20 µm, g = 0.29 µm, W = L = 1.54 µm, d = 0.72 µm; TE.   λ = 1.532 µm.

 

Grating assisted resonator

 

nb = 1.45, ng = 1.6, w = 1.0 µm, g = 1.6 µm, W = 9.955 µm, L = 79.985 µm, p = 1.538 µm, s = 0.281 µm, Np = 40; TE.

λ = 1.55 µm.

 

Resonator with perpendicular ports

nb = 1.0, ng = 3.4, w = 0.1 µm, W = 1.786 µm, gh = q = 0.355 µm, gv = 0.385 µm; TE.   λ = 1.55 µm.