Isolator, light source device, optical transmitter, and optical amplifier
An isolator includes a first waveguide and a second waveguide on a substrate having a substrate surface, the first waveguide and the second waveguide located along the substrate surface and overlapping each other as viewed from the substrate. The first waveguide and the second waveguide each include a core and a clad. The core has a first surface facing the substrate surface, and a second surface opposite to the first surface. The clad contacts the first surface and the second surface of the core. The first waveguide has a first end and a second end, and has a port for input and output of electromagnetic waves at each of the first end and the second end. The core of the second waveguide includes a non-reciprocal member in at least one part of a cross section intersecting a direction in which the second waveguide extends.
1. An isolator comprising:
a first waveguide and a second waveguide on a substrate having a substrate surface, the first waveguide and the second waveguide located along the substrate surface and overlapping each other as viewed from the substrate,
wherein the first waveguide and the second waveguide each include a core and a clad,
the core has a first surface facing the substrate surface, and a second surface opposite to the first surface,
the clad i contacts the first surface and the second surface of the core,
the first waveguide has a first end and a second end, and has a port for input and output of electromagnetic waves at each of the first end and the second end,
the core of the second waveguide includes a non-reciprocal member in at least one part of a cross section intersecting a direction in which the second waveguide extends,
a length of the second waveguide is an odd multiple of a coupling length of the first waveguide and the second waveguide with respect to electromagnetic waves propagating from the second end to the first end,
a length of the second waveguide is calculated according to the following formula:
L=mλ 0 /2|( n even −n odd )|
where L denotes the length of the second waveguide, n even and n odd respectively denote an even mode refractive index and an odd mode refractive index for electromagnetic waves propagating from the second end to the first end in a coupling of the first waveguide and the second waveguide, m denotes an odd number, and λ 0 denotes a wavelength in a vacuum, and
a length of the second waveguide is an even multiple of a coupling length of the first waveguide and the second waveguide with respect to electromagnetic waves propagating from the first end to the second end.
2. The isolator according to claim 1 , wherein the both ends of the second waveguide each have a cut surface, and wherein a normal vector of the cut surface has a component in a direction intersecting a propagation direction of electromagnetic waves in the second waveguide.
3. A light source device comprising:
an optical isolator comprising the isolator of claim 1 ; and
a light source is optically connected to the port.
4. An optical transmitter comprising:
a light source device including an optical isolator comprising the isolator of claim 1 ;
a light source is optically connected to the port; and
a light modulation function.
5. An optical amplifier comprising:
an optical isolator comprising the isolator of claim 1 .
6. An isolator comprising:
a first waveguide having a first end and a second end, and having a port for input and output of electromagnetic waves at each of the first end and the second end; and
at least one second waveguide having both ends located along the first waveguide, and coupled to the first waveguide,
wherein at any operation frequency, the first waveguide and the at least one second waveguide have a coupling coefficient in a case where electromagnetic waves input from the second end propagate toward the first end that is larger than a coupling coefficient in a case where electromagnetic waves input from the first end propagate toward the second end, and
wherein the first waveguide has a matching adjustment circuit at a part of the first waveguide that is coupled to the at least one second waveguide.
7. The isolator according to claim 6 , wherein the at least one second waveguide has an electromagnetic wave absorbing member on an outer side of each of the both ends.
8. A light source device comprising:
an optical isolator comprising the isolator of claim 6 ; and
a light source optically connected to the port.
9. An optical transmitter comprising:
a light source device including an optical isolator comprising the isolator of claim 6 ;
a light source optically connected to the port; and
a light modulation function.
10. An optical amplifier comprising:
an optical isolator comprising the isolator of claim 6 .
11. An isolator comprising:
a first waveguide and a second waveguide on a substrate having a substrate surface, the first waveguide and the second waveguide arranged side by side along the substrate surface,
wherein the first waveguide and the second waveguide each include a core and a clad,
the first waveguide has a first end and a second end, and has a port for input and output of electromagnetic waves at each of the first end and the second end,
the core of the second waveguide includes a non-reciprocal member in at least one part of a cross section intersecting a direction in which the second waveguide extends,
a polarization direction of electromagnetic waves input to the first end is parallel to the substrate surface, the first waveguide includes a first dielectric and a second dielectric arranged in a direction parallel to the substrate surface, and the second dielectric is of a different type from the first dielectric,
the second waveguide includes a third dielectric, a fourth dielectric, and the non-reciprocal member arranged in the direction parallel to the substrate surface, and the fourth dielectric is of a different type from the third dielectric, and
the third dielectric, the fourth dielectric, and the non-reciprocal member are in contact in an in-plane direction of the substrate surface.
12. The isolator according to claim 11 , wherein both ends of the second waveguide each have a cut surface, and wherein a normal vector of the cut surface of at least one of the each both ends has a component in a direction intersecting a propagation direction of electromagnetic waves in the second waveguide.
13. The isolator according to claim 11 , wherein a length of the second waveguide is an odd multiple of a coupling length of the first waveguide and the second waveguide with respect to electromagnetic waves propagating from the second end to the first end, and wherein a length of the second waveguide is calculated according to the following formula:
L=mλ 0 /2|( n even −n odd )|
where L denotes the length of the second waveguide, n even and n odd respectively denote an even mode refractive index and an odd mode refractive index for electromagnetic waves propagating from the second end to the first end in a coupling of the first waveguide and the second waveguide, m denotes an odd number, and λ 0 denotes a wavelength in a vacuum.
14. A light source device comprising:
an optical isolator comprising the isolator of claim 11 ; and
a light source is optically connected to the port.
15. An optical transmitter comprising:
a light source device including an optical isolator comprising the isolator of claim 11 ;
a light source is optically connected to the port; and
a light modulation function.
16. An optical amplifier comprising:
an optical isolator comprising the isolator of claim 11 .
17. An isolator comprising:
a first waveguide and a second waveguide on a substrate having a substrate surface, the first waveguide and the second waveguide arranged side by side along the substrate surface,
wherein the first waveguide and the second waveguide each include a core and a clad,
the first waveguide has a first end and a second end, and has a port for input and output of electromagnetic waves at each of the first end and the second end,
the core of the second waveguide includes a non-reciprocal member in at least one part of a cross section intersecting a direction in which the second waveguide extends, and
a length of the second waveguide is an odd multiple of a coupling length of the first waveguide and the second waveguide with respect to electromagnetic waves propagating from the second end to the first end, and a length of the second waveguide is calculated according to the following formula:
L=mλ 0 /2|( n even −n odd )|
where L denotes the length of the second waveguide, n even and n odd respectively denote an even mode refractive index and an odd mode refractive index for electromagnetic waves propagating from the second end to the first end in a coupling of the first waveguide and the second waveguide, m denotes an odd number, and λ 0 denotes a wavelength in a vacuum.