Complex frequency response filter and method for manufacturing the same
View Patent ↗There is provided a complex frequency response filter providing a frequency response having a desired shape. A first complex frequency response filter includes a first and a second reflecting surfaces defining a resonant cavity therebetween. Each of the reflecting surfaces respectively has a predetermined surface finish providing a given reflectivity, therefore providing resonances with a predetermined shaped frequency response of a predetermined amplitude and of a predetermined periodicity. Those frequency responses can then be summed to generate an arbitrarily complex spectral response. In another embodiment, the complex frequency response filter includes a transmission medium and a first and a second reflecting surfaces defining a resonant cavity therebetween. The transmission medium has a predetermined transmission pattern distributed therein therefore providing resonances having a predetermined shaped frequency response of a predetermined amplitude and of a predetermined periodicity, which can be combined to generate arbitrary frequency responses. A method for manufacturing such devices is also disclosed.
1. A complex frequency response filter comprising a first and a second reflecting surfaces defining a resonant cavity therebetween, wherein:
each of said reflecting surfaces respectively has a predetermined surface finish providing given reflectivity causing a resonance, each of said resonance parts respectively having a predetermined shaped frequency response of a predetermined amplitude and of a predetermined periodicity.
2. The complex frequency response filter according to claim 1 , wherein each of said surface finish respectively has a predetermined distributed reflectivity pattern.
3. The complex frequency response filter according to claim 1 , wherein each of said reflecting surfaces is obtained by a photolithographic process.
4. The complex frequency response filter according to claim 1 , wherein each of said predetermined periodicities is equal to each other.
5. The complex frequency response filter according to claim 1 , wherein each of said reflecting surfaces comprises a planar mirror.
6. The complex frequency response filter according to claim 1 , wherein each of said reflecting surfaces comprises a curved mirror.
7. The complex frequency response filter according to claim 1 , wherein said first reflecting surface comprises a planar mirror and said second reflecting surface comprises a curved mirror.
8. The complex frequency response filter according to claim 1 , wherein said reflecting surfaces extend in a substantially parallel relationship.
9. The complex frequency response filter according to claim 1 , wherein said reflecting surfaces are immovable, thereby providing a Fabry Perot Etalon.
10. The complex frequency response filter according to claim 1 , wherein an optical distance between said two reflecting surfaces is tunable.
11. A complex frequency response filter comprising a transmission medium and a first and a second reflecting surfaces defining a resonant cavity therebetween, wherein:
said transmission medium has a predetermined transmission pattern distributed therein providing a filtered light beam comprising a first part and a second part, each of said parts respectively having a predetermined shaped frequency response of a predetermined amplitude and of a predetermined periodicity.
12. The complex frequency response filter according to claim 11 , wherein each of said reflecting surfaces respectively has a predetermined surface finish having a distributed reflectivity pattern.
13. The complex frequency response filter according to claim 11 , wherein each of said predetermined periodicities is equal to each other.
14. A complex frequency response filter comprising a first and a second reflecting surfaces defining a resonant cavity therebetween, wherein:
each of said reflecting surfaces respectively has a predetermined surface finish providing a filtered light beam comprising a first and a second part, each of said parts respectively having a predetermined shaped frequency response of a predetermined amplitude and of a predetermined periodicity.