Wavelength- and Bandwidth-tubable Microring

• Basic Equations for the coupling
• Transition Equations
• Calculate Ei12
  • 1. Combine (2)(4)(9)(13)
  • 2. Combine (6)(10)(15)
  • 3. Combine (5)(10)(15)
  • 4. Combine (8)(11)(14)(16)(17)
  • 5. Combine (12)(18)
• Calculate Eo11​ with Ei11
  • 1. Solve Equation(19)
• Calculate Eo21 with ​Ei11
  • 1. Combine Equation(1)(2)(3)(9)(13)
  • 2. Combine Equation(20)(21)
• Calculate Eo41 with Ei11
  • 1.Combine Equation(7)(11)(14)(16)(17)
  • 2. Combine Equation(20)(22)

Basic Equations for the coupling

(1)

(2)

(3)

(4)

(5)

(6)

(7)

(8)

Transition Equations

(9)

(10)

(11)

(12)

(13)

(14)

Calculate Ei12

Assuming ：

1. Combine (2)(4)(9)(13)

(15)

2. Combine (6)(10)(15)

(16)

3. Combine (5)(10)(15)

(17)

4. Combine (8)(11)(14)(16)(17)

(18)

5. Combine (12)(18)

(19)

Calculate Eo11​ with Ei11

1. Solve Equation(19)

(20)

Calculate Eo21 with ​Ei11

1. Combine Equation(1)(2)(3)(9)(13)

(21)

2. Combine Equation(20)(21)

Calculate Eo41 with Ei11

1.Combine Equation(7)(11)(14)(16)(17)

(22)

2. Combine Equation(20)(22)