Irregular hexagon cross-sectioned hollow metal waveguide filters

1. A waveguide filter, comprising:

a fundamental waveguide unit having an irregular hexagonal metal structure forming a connection along one or more walls of the irregular hexagonal metal structure to at least another fundamental waveguide unit having an irregular hexagonal metal structure.

2. The waveguide filter of claim 1 , wherein the connection is a broadwall connection.

3. The waveguide filter of claim 1 , wherein the connection is a sidewall connection.

4. The waveguide filter of claim 3 , wherein the sidewall connection includes a hexagonal aperture.

5. The waveguide filter of claim 3 , wherein the sidewall connection includes a rectangular aperture.

6. The waveguide filter of claim 1 , wherein the connection includes an aperture.

7. The waveguide filter of claim 1 , wherein the connection includes a rounded transition between the fundamental waveguide unit and the at least another fundamental waveguide unit.

8. The waveguide filter of claim 1 , wherein the fundamental waveguide unit includes a resonance indent.

9. The waveguide filter of claim 1 , wherein the another one of the one or more walls forms a connection between the fundamental waveguide unit and a waveguide.

10. The waveguide filter of claim 9 , wherein the waveguide is longer than a fundamental waveguide unit.

11. The waveguide filter of claim 9 , wherein one or more of the fundamental waveguide unit, the at least another fundamental waveguide unit, and the waveguide is connected to a third fundamental waveguide unit.

12. The waveguide filter of claim 11 , wherein the third fundamental waveguide unit is connected to a fourth fundamental waveguide unit.

13. The waveguide filter of claim 12 , wherein the fourth fundamental waveguide unit is connected to a second waveguide.

14. The waveguide filter of claim 13 , wherein the fourth fundamental waveguide unit is connected to a fifth fundamental waveguide unit.

15. The waveguide filter of claim 14 , wherein the fifth fundamental waveguide unit is connected to a second waveguide.

16. The waveguide filter of claim 1 , wherein one of more of the fundamental waveguide unit and the at least another fundamental waveguide unit includes a tuning orifice and a tuning screw.

17. The waveguide filter of claim 1 , wherein the another one of the one or more walls forms a connection between the fundamental waveguide unit and a waveguide, wherein the waveguide is twice as long as a fundamental waveguide unit.

18. The waveguide filter of claim 1 , wherein the irregular hexagonal metal structure of the fundamental waveguide unit and the irregular hexagonal metal structure of the at least another fundamental waveguide unit are fabricated by metal additive manufacturing as a single part.

19. The waveguide filter of claim 18 , wherein one or more of the irregular hexagonal metal structures of the fundamental waveguide unit and the at least another fundamental waveguide unit comprises one or more downward facing surfaces;

wherein the one or more downward facing surfaces are fabricated by metal additive manufacturing to have overhang angles that are within a range of 45 degrees plus or minus 25 degrees.

20. A fundamental waveguide unit, comprising:

a hollow irregular hexagonal metal structure which includes a resonant cavity that receives an electromagnetic signal and propagates the signal through the resonant cavity.

21. The fundamental waveguide unit of claim 20 , wherein the resonant cavity of the hollow irregular hexagonal metal structure is connected to another resonant cavity of another fundamental waveguide unit.

22. The fundamental waveguide unit of claim 21 , wherein the resonant cavity of the hollow irregular hexagonal metal structure is connected to a propagation channel of a waveguide.

23. The fundamental waveguide unit of claim 20 , wherein the hollow irregular hexagonal metal structure is fabricated by metal additive manufacturing as a single part.