Electro-optical silicon-based phase modulator with null residual amplitude modulation

An electro-optical modulator comprising:

• a waveguide configured to guide a beam of radiation;
• a first region associated with the waveguide, wherein a first electric potential applied to the first region causes a first modulation to the beam of radiation;
• and
• a second region associated with the waveguide, wherein a second electric potential applied to the second region causes a second modulation to the beam of radiation,
• wherein the first modulation combined with the second modulation provides substantially null residual amplitude modulation of the beam of radiation,
• wherein the waveguide comprises a semiconducting material, and
• wherein at least one of the first electric potential and second electric potential generate a sawtooth carrier density profile in the semiconducting material that varies with time.

An optical coherence tomography system comprising:

• an optical source configured to provide a beam of radiation;
• an optical element configured to split the beam of radiation between at least a first waveguide and a second waveguide, wherein a first portion of the beam of radiation propagates through the first waveguide and a second portion of the beam of radiation propagates through the second waveguide, wherein the first waveguide is on a substrate, and wherein the first portion of the beam of radiation travels in a first direction along a length of the first waveguide;
• and
• an electro-optical modulator comprising:
• a first region on the substrate, the first region having a length parallel to the first direction, wherein a first electric potential applied to the first region causes a first phase modulation to the first portion of the beam of radiation, and
• a second region on the substrate, the second region having a length parallel to the first direction, wherein a second electric potential applied to the second region causes a second phase modulation to the first portion of the beam of radiation,
• wherein the first electric potential, the length of the first region, the second electric potential, and the length of the second region are determined such that the first phase modulation combined with the second phase modulation provides substantially null residual amplitude modulation of the first portion of the beam of radiation.

A method of modulating a beam of radiation, comprising:

• providing a waveguide on a substrate, the waveguide configured to guide the beam of radiation in a first direction along a length of the waveguide;
• providing a first region on the substrate, the first region having a length parallel to the first direction;
• applying a first electric potential to the first region, the first electric potential applying a first phase modulation to the beam of radiation;
• providing a second region on the substrate, the second region being cascaded with the first region and having a length parallel to the first direction;
• and
• applying a second electric potential to the second region, the second electric potential applying a second phase modulation to the beam of radiation,
• wherein the length of the first region, the length of the second region, a value of the first electric potential, and a value of the second electric potential are selected such that the first phase modulation and the second phase modulation cause a substantially null residual amplitude modulation of the beam of radiation.

An electro-optical modulator comprising:

• a waveguide on a substrate, and configured to guide a beam of radiation having an amplitude and a frequency, wherein the beam of radiation travels in a first direction along a length of the waveguide;
• a first region on the substrate, the first region having a length parallel to the first direction, wherein a first electric potential applied to the first region causes a residual amplitude modulation of the beam of radiation;
• and
• a second region on the substrate, the second region having a length parallel to the first direction, wherein the length of the second region and a second electric potential applied to the second region are chosen to achieve substantially null residual amplitude modulation of the beam of radiation, and wherein both the first electric potential and the second electric potential cause a modulation in a phase of the beam of radiation.