Method and system for hybrid integration of a tunable laser

A method of operating a tunable laser, the method comprising:

• tuning, using a first resistive thermal device, a first modulated grating reflector, wherein the first modulated grating reflector is characterized by a first reflectance spectra including a first plurality of reflectance peaks;
• tuning, using a second resistive thermal device, a second modulated grating reflector, wherein the second modulated grating reflector is characterized by a second reflectance spectra including a second plurality of reflectance peaks;
• generating optical emission from a gain medium comprising a compound semiconductor material;
• adjusting a phase of the optical emission from the gain medium through a phase adjustment section integrated in a silicon layer using a heating element;
• waveguiding the phase adjusted optical emission to pass through an optical waveguide in the silicon layer to an optical coupler;
• reflecting a portion of the optical emission having a spectral bandwidth defined by an overlap of one of the first plurality of reflectance peaks and one of the second plurality of reflectance peaks;
• transmitting the portion of the optical emission through an index matching region disposed between the optical waveguide in the silicon layer and the gain medium;
• amplifying the portion of the optical emission in the gain medium;
• and
• transmitting a portion of the amplified optical emission through an output mirror.