Accession Number:

AD0652652

Title:

ELEMENTARY PROBLEMS IN HAMILTONIAN OPTICS

Descriptive Note:

Corporate Author:

MITRE CORP BEDFORD MA

Personal Author(s):

• Nawrocki, Paul J.

Report Date:

1967-04-01

Pagination or Media Count:

73.0

Abstract:

Synges formulation for Hamiltons theory of geometric optics is used to specify the rays for a variety of problems. Based upon the analogy between ray and particle trajectories, an attempt is made to treat the problem of beyond-the-horizon atmospheric propagation. It is shown that the observed propagation law e to the -ks power can be motivated from the concept that the received signal is the sum of the Hamilton rays linking the transmitter and receiver. This implies three differences with respect to the Booker-Gordon theory for the everpresent scatter signal a change in the correlation function from exponential to Gaussian adoption of millimeters as the size of the characteristic fluctuations and an extension of the critical volume to include manyfold scatter in the tropospheric path from the optical horizon to the receiver.

Descriptors:

• *MICROWAVES
• *OPTICS
• *RADIO TRANSMISSION
• ABSORPTION
• IONOSPHERE
• OPTICAL PHENOMENA
• RADIO WAVES
• SCATTERING
• STATISTICAL FUNCTIONS
• TRAJECTORIES
• TROPOSPHERE

Subject Categories:

• Electricity and Magnetism
• Optics
• Radio Communications

Distribution Statement:

APPROVED FOR PUBLIC RELEASE