Switchable broadband waveplate

1. A waveplate, comprising:

a first liquid crystal (“LC”) layer including first ferroelectric liquid crystal (“FLC”) molecules that are in-plane switchable by an external field to switch the waveplate between states of different phase retardances; and

a second LC layer and a third LC layer sandwiching the first LC layer, wherein the second LC layer and the third LC layer include second FLC molecules, and wherein azimuthal angles of effective refractive index ellipsoids of the second LC layer and the third LC layer are different.

2. The waveplate of claim 1 , wherein the second LC layer and the third LC layer include a same FLC material with the second FLC molecules, and have different thicknesses.

3. The waveplate of claim 1 , wherein the second LC layer and the third LC layer are passive layers configured to provide respective constant phase retardances.

4. The waveplate of claim 1 ,

wherein the first LC layer is configured with a first effective refractive index ellipsoid having a first azimuthal angle, the azimuthal angles of the effective refractive index ellipsoids of the second LC layer and the third LC layer include a second azimuthal angle of a second effective refractive index ellipsoid of the second LC layer and a third azimuthal angle of a third effective refractive index ellipsoid of the third LC layer, and

wherein when the waveplate operates at a substantially zero phase retardance state, an absolute value of a difference between the first azimuthal angle and the second azimuthal angle is 90°.

5. A waveplate, comprising:

a first liquid crystal (“LC”) layer including LC molecules that are in-plane switchable by an external field to switch the waveplate between states of different phase retardances; and

a second LC layer and a third LC layer sandwiching the first LC layer, wherein azimuthal angles of effective refractive index ellipsoids of the second LC layer and the third LC layer are different,

wherein the LC molecules included in the first LC layer are first LC molecules, and the waveplate further comprises a fourth LC layer including second LC molecules that are in-plane switchable by the external field to switch the waveplate between the states of different phase retardances.

6. The waveplate of claim 5 , wherein the third LC layer is disposed between the second LC layer and the fourth LC layer.

7. The waveplate of claim 5 , wherein the second LC molecules include ferroelectric liquid crystal molecules that are in-plane switchable by the external field.

8. The waveplate of claim 5 ,

wherein the first LC layer is configured with a first effective refractive index ellipsoid having a first azimuthal angle, the fourth LC layer is configured with a fourth effective refractive index ellipsoid having a fourth azimuthal angle, the azimuthal angles of the effective refractive index ellipsoids of the second LC layer and the third LC layer include a second azimuthal angle of a second effective refractive index ellipsoid of the second LC layer and a third azimuthal angle of a third effective refractive index ellipsoid of the third LC layer,

wherein when the waveplate operates at a substantially zero phase retardance state, an absolute value of a difference between the first azimuthal angle and the second azimuthal angle is 90°, and an absolute value of a difference between the third azimuthal angle and the fourth azimuthal angle is 90°.

9. A waveplate, comprising:

a liquid crystal (“LC”) cell including LC molecules that are in-plane switchable by an external field to switch the waveplate between states of different phase retardances; and

a first passive cell and a second passive cell sandwiching the LC cell, azimuthal angles of effective refractive index ellipsoids of the first passive cell and the second passive cell being different,

wherein the LC molecules included in the LC cell include first ferroelectric liquid crystal molecules that are in-plane switchable by the external field, and

wherein each of the first passive cell and the second passive cell includes second ferroelectric liquid crystal molecules.

10. The waveplate of claim 9 , wherein at least one of the first passive cell or the second passive cell includes one of a liquid crystal polymer or a compensation film.

11. The waveplate of claim 9 , wherein the first passive cell and the second passive cell include a same ferroelectric liquid crystal material with the second ferroelectric liquid crystal molecules, and have different thicknesses.

12. The waveplate of claim 9 ,

wherein the LC cell includes a first ferroelectric liquid crystal layer configured with a first effective refractive index ellipsoid having a first azimuthal angle, and the first passive cell includes a second ferroelectric liquid crystal layer configured with a second effective refractive index ellipsoid having a second azimuthal angle, and

wherein when the waveplate operates at a substantially zero phase retardance state, an absolute value of a difference between the first azimuthal angle and the second azimuthal angle is 90°.

13. The waveplate of claim 9 , wherein the LC cell is a first LC cell, and the LC molecules included in the LC cell are first LC molecules, and the waveplate further comprises a second LC cell including second LC molecules that are in-plane switchable by the external field to switch the waveplate between the states of different phase retardances.

14. The waveplate of claim 13 , wherein the second passive cell is disposed between the first LC cell and the second LC cell.

15. The waveplate of claim 13 , wherein the second LC molecules include ferroelectric liquid crystal molecules that are in-plane switchable by the external field.

16. The waveplate of claim 13 ,

wherein the first LC cell includes a first ferroelectric liquid crystal layer configured with a first effective refractive index ellipsoid having a first azimuthal angle, the first passive cell includes a second ferroelectric liquid crystal layer configured with a second effective refractive index ellipsoid having a second azimuthal angle, the second passive cell includes a third ferroelectric liquid crystal layer configured with a third effective refractive index ellipsoid having a third azimuthal angle, and the second LC cell includes a fourth ferroelectric liquid crystal layer configured with a fourth effective refractive index ellipsoid having a fourth azimuthal angle,

wherein when the waveplate operates at a substantially zero phase retardance state, an absolute value of a difference between the first azimuthal angle and the second azimuthal angle is 90°, and an absolute value of a difference between the third azimuthal angle and the fourth azimuthal angle is 90°.