US 7,555,840 B2
Omni-directional lens in sundials and solar compasses
Chengjun Julian Chen, White Plains, N.Y. (US)
Assigned to The Trustees of Columbia University in the City of New York, New York, N.Y. (US)
Filed on Aug. 17, 2007, as Appl. No. 11/840,428.
Prior Publication US 2009/0044417 A1, Feb. 19, 2009
Int. Cl. G04B 49/00 (2006.01); G01C 17/34 (2006.01)
U.S. Cl. 33—269  [33/270] 12 Claims
OG exemplary drawing
 
1. A sundial, said sundial comprising:
an omni-directional lens including at least two concentric spherical components, said at least two concentric spherical components including a transparent outer sphere having a radius R1 and an index of refraction n1 and a transparent inner sphere having a radius R2 and an index of refraction n2; and
a replaceable panel positioned adjacent said omni-directional lens, said replaceable panel being selected from two replaceable panels, each of said two replaceable panels having a semi-cylindrical shape and a surface having marks of date and time thereon, a first one of said two replaceable panels including marks of date and time for a first part of a year and a second one of said two replaceable panels including marks of date and time for a second part of the year;
wherein R1, n1, R2, and n2 are selected so that a parallel beam of sunlight impinging on said omni-directional lens will converge to a sharp spot of light on said replaceable panel thereby indicating a time of a day and a day of a year.