TY - JOUR

T1 - Hermite pulsed beam expansion of well collimated pulsed radiation

AU - Beracha, Inon

AU - Heyman, Ehud

N1 - Publisher Copyright:
© 1992 SPIE. All rights reserved.

PY - 1992/4/1

Y1 - 1992/4/1

N2 - We present a novel expansion scheme for radiation from well-collimated pulsed aperture distributions. The basis functions are a new set of pulsed beams (PB), termed Hermite pulsed beams (HPB) as they are related to the time-harmonic Hermite Gaussian Beams. They are highly localized space-time wavepackets and form a biorthogonal set of for expansion of time-dependent radiation. This expansion is applicable only for well collimated fields since the HPB are only paraxial solutions of the time-dependent wave equation, but its validity can be extended by using the complex source technique. The expansion is based on a global matching of the HPB set to the entire aperture distribution and therefore should be contrasted with other new PB expansion schemes which are based essentially on local analysis. As expected, the representation is most efficient if the collimation properties of the HPB are matched to those of the entire aperture so that they exhibit the same far field properties (e.g. diffraction angle). We show that the relevant parameter is the collimation (Rayleigh) length and introduce criteria to find this parameter for a given pulsed source distribution. The properties of the expansion are explored via numerical examples.

AB - We present a novel expansion scheme for radiation from well-collimated pulsed aperture distributions. The basis functions are a new set of pulsed beams (PB), termed Hermite pulsed beams (HPB) as they are related to the time-harmonic Hermite Gaussian Beams. They are highly localized space-time wavepackets and form a biorthogonal set of for expansion of time-dependent radiation. This expansion is applicable only for well collimated fields since the HPB are only paraxial solutions of the time-dependent wave equation, but its validity can be extended by using the complex source technique. The expansion is based on a global matching of the HPB set to the entire aperture distribution and therefore should be contrasted with other new PB expansion schemes which are based essentially on local analysis. As expected, the representation is most efficient if the collimation properties of the HPB are matched to those of the entire aperture so that they exhibit the same far field properties (e.g. diffraction angle). We show that the relevant parameter is the collimation (Rayleigh) length and introduce criteria to find this parameter for a given pulsed source distribution. The properties of the expansion are explored via numerical examples.

UR - http://www.scopus.com/inward/record.url?scp=70449417473&partnerID=8YFLogxK

U2 - 10.1117/12.137135

DO - 10.1117/12.137135

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AN - SCOPUS:70449417473

SN - 0277-786X

VL - 1629

SP - 353

EP - 367

JO - Proceedings of SPIE - The International Society for Optical Engineering

JF - Proceedings of SPIE - The International Society for Optical Engineering

T2 - Intense Microwave and Particle Beams III 1992

Y2 - 19 January 1992 through 24 January 1992

ER -