By Andrey S. Ostrovsky

This publication offers a unmarried resource of data at the challenge of coherent-mode representations in optics, together with new views on its strength purposes. particularly, the ''light string'' and the ''light capillary'' beams can be advantageously utilized in communications, measurements, microelectronics and microsurgery; the short set of rules for bilinear transforms will be effectively utilized to laptop simulation and layout of optical structures with in part coherent illumination.


- Preface

- Coherent-Mode illustration of Optical Fields and resources

- Coherent-Mode illustration of Optical platforms

- Coherent-Mode illustration of Propagation-Invariant Fields

- Coherent-Mode Representations in Radiometry

- replacement Coherent-Mode illustration of a Planar resource

- References

- writer Index

- topic Index

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Extra resources for Coherent-Mode Representations in Optics (SPIE Press Monograph Vol. PM164)

Example text

In Eqs. 4), dx is a source element at a point specified by the position vector x, d is 51 52 Coherent-Mode Representations in Optics an element of the solid angle around a direction specified by unit vector s, θ is the angle that the s direction makes with the unit normal n to the source plane, and the integrations extend over all source area σ and over the 2π solid angle formed by all the s directions that point into the hemisphere into which the radiation is propagating (Fig. 1). As one may see from these equations, radiance is the central quantity of the classical radiometry: all the other radiometric quantities are obtained by appropriate integration of the radiance.

This may be easily shown by the example of generating the fundamental Bessel beam sketched schematically in Fig. 5. As can be seen from this figure, the plane waves generated by each pair of points of the ring source overlap only within the dark shaded region. The depth of this region and, hence, the maximum range of the invariant propagation of the generated beam may be found by simple geometrical calculations as zmax = f R0 . 68) There are also other physical factors that affect the expected results.

27) still do not define the coherent-mode structure of the propagation-invariant field because of the uncertainty of coefficients qnp , caused by the arbitrariness of the choice of the function Qn (r0n , φ), as well as the arbitrariness of the choice of the parameter r0n . 28) where δnm is the Kronecker symbol, and the radial integration is performed within the finite domain D of radius R. On substituting for ϕn (x; z0 ) from Eq. 27) into Eq. 29) 0 we obtain ∞ 3 (2π) r0n r0m p=−∞ ∗ qnp qmp R Jp (2πr0n ρ) Jp (2πr0m ρ) ρdρ = δnm .

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