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DBR and VCSEL

DBR and VCSEL. [Fumio Koyama , “Recent Advances of VCSEL Photonics , ” JLT 24, 2006]. DBR. Use CMT:. Detuning. Bragg condition. mirror length. number of periods. period. Assumptions:. Bragg condition. operating (Bragg) wavelength. DBR ( summary of CMT results ). CMT parameters:.

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DBR and VCSEL

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  1. DBR and VCSEL [Fumio Koyama, “Recent Advances of VCSEL Photonics,”JLT24, 2006]

  2. DBR Use CMT: Detuning Bragg condition mirror length number of periods period Assumptions: Bragg condition operating (Bragg) wavelength

  3. DBR (summary of CMT results) CMT parameters: Bragg condition i.e. (coupling coefficient) Amplitude reflection coefficient Reflectivity Reflectivity for

  4. DBR reflectivity at Bragg wavelength Example: Example:

  5. DBR: spectral characteristics Reflectivity high reflectivity region -- photonic bandgap Example (cont.):

  6. DBR: spectral characteristics Reflectivity Phase of the reflection Near Bragg wavelength:

  7. DBR: spectral characteristics Reflectivity Group delay Delay for homogenous medium Near Bragg wavelength: Penetration depth

  8. VCSEL: oscillation condition M quantum wells with thickness d and amplitude gain coefficient gm

  9. VCSEL: phase condition (near Bragg wavelength)

  10. VCSEL: phase condition Example (cont.): penetration depth assume effective length of the Bragg mirror resonator intermode frequency spacing photonic bandgap (high reflectivity region of the Bragg mirror)

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