Calculating the quantum characteristic function and the photon-number generating function in quantum optics

Loading...
Thumbnail Image
Authors
Rockower, Edward B.
Subjects
Advisors
Date of Issue
1988-06-01
Date
Publisher
American Physical Society
Language
Abstract
A new operator derivation of the relation giving the photon-number generating function, G (y), in terms of the quantum characteristic function, C(s,5*), is presented. The inverse problem is then solved, calculating C( s.s*) directly from G ( y). Because G ( y) contains less phase information than C(s,s*), we can either assume that the field has a completely random phase (e.g., a stationary field) or be content with calculating the phase average of C(s,s*). We then derive an expression giving G ( r> for the superposition of two arbitrary, independent fields in terms of the individual G (y)'s for each (stationary) field. A number of examples illustrate the methods, including a determination of the quantum characteristic function for a field with K-distributed amplitude fluctuations.
Type
Article
Description
Series/Report No
Department
Operations Research
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
Funder
Format
10 p.
Citation
Physical Review A, v. 37, no.11, June 1, 1988, pp. 4309-4318
Distribution Statement
Approved for public release; distribution is unlimited.
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
Collections