Waveguide structure and optical system with waveguide structure
The inventive waveguide structure comprises a first waveguide region having a constant first width adapted to guide electromagnetic waves mode sustainably along its longitudinal axis; a second waveguide region adapted to guide electromagnetic waves mode sustainably along its longitudinal axis, wherein the longitudinal axis of the first waveguide region and the longitudinal axis of the second waveguide region form a common longitudinal axis of the waveguide structure, wherein a first end face of the first waveguide region and a first end face of the second waveguide region are aligned with each other, the width of the first end face of the second waveguide region corresponding to the first width, and the width of the second waveguide region along its longitudinal axis widens from the first end face to a second end face to a second width greater than the first width.
1. A waveguide structure comprising,
a first waveguide region having a constant first width adapted to guide electromagnetic waves mode sustainably along its longitudinal axis;
a second waveguide region adapted to guide electromagnetic waves mode sustainably along its longitudinal axis,
wherein the longitudinal axis of the first waveguide region and the longitudinal axis of the second waveguide region form a common longitudinal axis of the waveguide structure, wherein a first end face of the first waveguide region and a first end face of the second waveguide region are aligned with each other, wherein a width of the first face of the second waveguide region corresponds to the first width, and a width of the second waveguide region widens along its longitudinal axis from the first face to a second face to a second width greater than the first width; and
a grating having a plurality of webs and trenches, the grating being disposed along the common longitudinal axis in the second waveguide region;
wherein the second waveguide region and the grating are adapted to guide electromagnetic waves in the second waveguide region along the common longitudinal axis in a mode-maintaining manner and to reflect them in a mode-maintaining manner; and the first waveguide region, the second waveguide region and the grating are adapted to guide electromagnetic waves in the first waveguide region and in the second waveguide region along the common longitudinal axis in a mode-maintaining manner and to reflect them in a mode-maintaining manner;
wherein the first waveguide region, the second waveguide region, and the grating are adapted to cause a mode-maintaining reversal of direction for at least one transverse propagation mode of the first waveguide region excited at a second end face of the first waveguide region.
2. The waveguide structure of claim 1 , wherein the second waveguide region comprises along its longitudinal axis an extended length portion having a constant second width.
3. The waveguide structure of claim 2 , wherein the grating is disposed exclusively in the extended length portion having the second width of the second waveguide region.
4. The waveguide structure of claim 1 , wherein the plurality of webs and trenches of the grating extend over the entire width of the second waveguide region or at least in portions do not extend over the entire width of the second waveguide region.
5. The waveguide structure of claim 1 , wherein the plurality of webs and trenches of the grating are arranged parallel to an end face of the second waveguide region.
6. The waveguide structure of claim 1 , wherein the waveguides in the first and second waveguide regions are strip waveguides or ribbed waveguides.
7. The waveguide structure of claim 1 , wherein the depth of the trenches and the width of the webs of the plurality of webs and trenches of the grating are respectively constant.
8. The waveguide structure of claim 1 , wherein the width w of the second waveguide region along its longitudinal axis changes from the first width w 1 to the second width w 2 according to formula (1)
w ( x )= w 1 +( a *(1− e b*x )+ c*x d ); w (0)= w 1 and w (1)= w 2 (1)
where x corresponds to a linear parameterization of the expansion distance from 0 to 1 and a, b, c, d represent positive real numbers.
9. A resonator type semiconductor laser, the resonator comprising a waveguide structure comprising:
a first waveguide region having a constant first width adapted to guide electromagnetic waves mode sustainably along its longitudinal axis;
a second waveguide region adapted to guide electromagnetic waves mode sustainably along its longitudinal axis,
wherein the longitudinal axis of the first waveguide region and the longitudinal axis of the second waveguide region form a common longitudinal axis of the waveguide structure, wherein a first end face of the first waveguide region and a first end face of the second waveguide region are aligned with each other, wherein a width of the first face of the second waveguide region corresponds to the first width, and a width of the second waveguide region widens along its longitudinal axis from the first face to a second face to a second width greater than the first width; and
a grating having a plurality of webs and trenches, the grating being disposed along the common longitudinal axis in the second waveguide region;
wherein the second waveguide region and the grating are adapted to guide electromagnetic waves in the second waveguide region along the common longitudinal axis in a mode-maintaining manner and to reflect them in a mode-maintaining manner; and the first waveguide region, the second waveguide region and the grating are adapted to guide electromagnetic waves in the first waveguide region and in the second waveguide region along the common longitudinal axis in a mode-maintaining manner and to reflect them in a mode-maintaining manner;
wherein the first waveguide region, the second waveguide region, and the grating are adapted to cause a mode-maintaining reversal of direction for at least one transverse propagation mode of the first waveguide region excited at a second end face of the first waveguide region.
10. An optical system comprising a waveguide structure comprising:
a first waveguide region having a constant first width adapted to guide electromagnetic waves mode sustainably along its longitudinal axis;
a second waveguide region adapted to guide electromagnetic waves mode sustainably along its longitudinal axis,
wherein the longitudinal axis of the first waveguide region and the longitudinal axis of the second waveguide region form a common longitudinal axis of the waveguide structure, wherein a first end face of the first waveguide region and a first end face of the second waveguide region are aligned with each other, wherein a width of the first face of the second waveguide region corresponds to the first width, and a width of the second waveguide region widens along its longitudinal axis from the first face to a second face to a second width greater than the first width; and
a grating having a plurality of webs and trenches, the grating being disposed along the common longitudinal axis in the second waveguide region;
wherein the second waveguide region and the grating are adapted to guide electromagnetic waves in the second waveguide region along the common longitudinal axis in a mode-maintaining manner and to reflect them in a mode-maintaining manner; and the first waveguide region, the second waveguide region and the grating are adapted to guide electromagnetic waves in the first waveguide region and in the second waveguide region along the common longitudinal axis in a mode-maintaining manner and to reflect them in a mode-maintaining manner;
wherein the first waveguide region, the second waveguide region, and the grating are adapted to cause a mode-maintaining reversal of direction for at least one transverse propagation mode of the first waveguide region excited at a second end face of the first waveguide region.