摘要:

’’Optics in four dimensions’’ is the title of this conference. Like any other conference, it hopes to stimulate progress. How is that possible with a conference title, that links optics with a central term out of geometry: dimensions? Thinking about optics by using geometrical concepts is fruitful, because our mind’s computer language employs many geometrical ’’words’’ when communicating with the subconsciousness. That is where much of our creativity resides.

ISSN:0094-243X    

DOI:10.1063/1.32271

出版商:AIP    

年代:1980

数据来源: AIP

摘要:

In order to provide an overall picture of the broad range of optical phenomena that are directly linked with the concepts of causality and analyticity, the following topics are briefly reviewed, emphasizing recent developments: 1) Derivation of dispersion relations for the optical constants of general linear media from causality. Application to the theory of natural optical activity. 2) Derivation of sum rules for the optical constants from causality and from the short‐time response function (asymptotic high‐frequency behavior). Average spectral behavior of optical media. Applications. 3) Role of spectral conditions. Analytic properties of coherence functions in quantum optics. Reconstruction theorem. 4) Phase retrieval problems. 5) Inverse scattering problems. 6) Solution of nonlinear evolution equations in optics by inverse scattering methods. Application to self‐induced transparency. Causality in nonlinear wave propagation. 7) Analytic continuation in frequency and angular momentum. Complex singularities. Resonances and natural‐mode expansions. Regge poles. 8) Wigner’s causal inequality. Time delay. Spatial displacements in total reflection. 9) Analyticity in diffraction theory. Complex angular momentum theory of Mie scattering. Diffraction as a barrier tunnelling effect. Complex trajectories in optics.

ISSN:0094-243X    

DOI:10.1063/1.32323

出版商:AIP    

年代:1980

数据来源: AIP

摘要:

The importance of the analytic character of optical fields is discussed, in particular the encoding of information by complex zeros. The properties of the real part of the complex field are outlined and its usefulness in determining the zero distribution for a field from intensity data is presented. The real part of an optical field may be formed by optical phase conjugation.

ISSN:0094-243X    

DOI:10.1063/1.32257

出版商:AIP    

年代:1980

数据来源: AIP

摘要:

A new representation is obtained for the cross‐spectral density function of stationary optical wavefields. We show that under very general conditions it is possible to construct an ensemble of monochromatic wave functions, all of the same frequency &ohgr;, with the property that the cross‐spectral density function W(r−1,r−2,&ohgr;) of the field is expressible as a correlation between the values of the wave functions at the points r−1and r−2. The representation is intimately related to a new mode expansion of the field and has a number of potential applications to various problems that involve wavefields of any state of coherence.

ISSN:0094-243X    

DOI:10.1063/1.32286

出版商:AIP    

年代:1980

数据来源: AIP

摘要:

A review of the main landmarks which proceed the fundamentals of space‐time optics is given. It includes a comparison of the roles of space and time variables in optics as far as information transfer is concerned. Illustrations deal with interference and diffraction phenomena, the light beam being considered as a carrier whose capacity is linked to the width of the spectral band. Experimental examples are reported in metrology, information processing, spectral analysis and wavelength coding, holography, transmission by spectral modulation, etc.

ISSN:0094-243X    

DOI:10.1063/1.32295

出版商:AIP    

年代:1980

数据来源: AIP

摘要:

Extension of Space‐Time Optics to objects whose transparency is a function of the temporal frequency &ngr; = c/&lgr; is examined. Considering the effects of such stationary pupils on white light waves, they are called ’’temporal pupils’’. It is shown that simultaneous encoding, both in the space and time frequency domains, is required in order to record pupil parameters. The space‐time impulse response and transfer functions are calculated for a dispersive non‐absorbing material. An experimental method providing holographic recording of the dispersion curve of any transparent material is presented.

ISSN:0094-243X    

DOI:10.1063/1.32324

出版商:AIP    

年代:1980

数据来源: AIP

摘要:

A description of diffraction phenomena of a white light beam passing through a complex pupil, i.e., corresponding to a very irregular wavefront profile, demands the use of a local obliquity factor. The general form of the resulting signals is derived from the Kirchhoff integral. It depends on the transit time, and its evolution law, here studied with one transverse and with one longitudinal coordinates, can be extended tox,y,z,t. An illustratiion is given in the field of rough surface testing.

ISSN:0094-243X    

DOI:10.1063/1.32317

出版商:AIP    

年代:1980

数据来源: AIP

摘要:

This paper shows some examples of time‐dependent picture processing by means of a hybrid optical processing system. It consists of electronical and optical parts. The advantages of both are combined in our TV‐optical feedback system.

ISSN:0094-243X    

DOI:10.1063/1.32320

出版商:AIP    

年代:1980

数据来源: AIP

摘要:

We derive a generalized but simple expression for the interferograms generated due to the propagation of a pulse through classical interference spectrometers. All multiple beam interferograms (Fabry‐Perots, gratings) can be expressed as the summation of many two‐beam interferograms. The time‐integrated interferograms can be expressed as due to the Fourier spectrum of the signal through the autocorrelation theorem. The time resolved interferogram helps separate the effects of carrier frequency from that due to the amplitude envelope. The point is illustrated with some time‐resolved 3‐D computer plots.

ISSN:0094-243X    

DOI:10.1063/1.32321

出版商:AIP    

年代:1980

数据来源: AIP

摘要:

It has been known now for over a century that light is an electromagnetic phenomenon; and that light propagates in empty space as a wave according to Maxwell’s equations. In direct confirmation of this wave nature are the observation and quantitative explanation of interference and diffraction; and, in evidence of its transverse nature, of polarization and double refraction. There is no substitute for the wave theory of light.

ISSN:0094-243X    

DOI:10.1063/1.32322

出版商:AIP    

年代:1980

数据来源: AIP