<i>Introduction to Fourier Optics</i>

Goodman, Joseph W.; Cox, Mary E.

doi:10.1063/1.3035549

Cited by 1,640 publications

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“…At a resonant energy, owing to magneto-optical effect, the magnetic domain structure can be approximated by a square grating whose transmission alternates between t + and t − for up-and-down magnetic domains. The diffracted intensity in the first order, I, of such a grating is given by 34 :…”

Section: Where G(t) Is the Gaussian Function H(t)mentioning

confidence: 99%

Laser-induced ultrafast demagnetization in the presence of a nanoscale magnetic domain network

et al. 2012

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Femtosecond magnetization phenomena have been challenging our understanding for over a decade. most experiments have relied on infrared femtosecond lasers, limiting the spatial resolution to a few micrometres. With the advent of femtosecond X-ray sources, nanometric resolution can now be reached, which matches key length scales in femtomagnetism such as the travelling length of excited 'hot' electrons on a femtosecond timescale. Here we study laser-induced ultrafast demagnetization in [Co/Pd] 30 multilayer films, which, for the first time, achieves a spatial resolution better than 100 nm by using femtosecond soft X-ray pulses. This allows us to follow the femtosecond demagnetization process in a magnetic system consisting of alternating nanometric domains of opposite magnetization. no modification of the magnetic structure is observed, but, in comparison with uniformly magnetized systems of similar composition, we find a significantly faster demagnetization time. We argue that this may be caused by direct transfer of spin angular momentum between neighbouring domains.

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Section: Where G(t) Is the Gaussian Function H(t)mentioning

confidence: 99%

Laser-induced ultrafast demagnetization in the presence of a nanoscale magnetic domain network

et al. 2012

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“…In order to appreciate how im&rfect optics limits the number of intensity levels, we must first discuss some basic concepts of optical filtering (Goodman, 1968). The most useful way to quantify the effect of imperfect optics is by the demodulation of a spatial sinusoid as it passes through each component part of the optical system ( ible intensity levels n, from that given by equation (SC) to where &f =I itf,M, The greater v, the smaller iti(v& and hence the fewer intensity levels that can be distinguished.…”

Section: Concept Of Spatlax Information Fplcxjre R~con~ru~io~mentioning

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Information capacity of eyes

1977

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“…After diffracting off the grating and being collimated by a lens (Figure 3.1), the beam becomes a spread of individual monochromatic beams, creating a one-to-one correspondence between the spectral frequency ω and In order to analytically describe the field at the output, we follow the paraxial approximation used in Ref. [25] to propagate the beam to the focal volume (for detailed calculations, see Appendix B). The spatially-chirped beam, A 1 (x,ω), is incident upon the input focal plane of the objective lens.…”

Section: Theoretical Analysis Of Sstf With Gddmentioning

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Simultaneous spatial and temporal focusing in nonlinear microscopy

Durst

Zhu

2008

Optics Communications

102

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SIMULTANEOUS SPATIAL AND TEMPORAL FOCUSING IN NONLINEAR MICROSCOPYMichael Earle Durst, Ph. D. Cornell University 2009Multiphoton microscopy (MPM) has become a powerful tool for imaging biological samples due to its ability to perform optical sectioning. MPM yields many advantages over standard one-photon imaging: a deeper penetration depth due to longer wavelength excitation, confinement of the focal volume, and reduced photodamage. These properties allow MPM to image samples non-invasively, acting as a form of optical biopsy for cancer research.Simultaneous spatial and temporal focusing (SSTF), when combined with nonlinear microscopy, can improve the axial excitation confinement of wide-field and line-scanning imaging. Because two-photon excited fluorescence depends inversely on the pulse width of the excitation beam, SSTF decreases the background excitation of the sample outside of the focal volume by broadening the pulse width everywhere but at the geometric focus of the objective lens. Also, SSTF can scan the temporal focal plane axially by adjusting the group-delay dispersion (GDD) in the excitation beam path. We further discuss this technique for axial-scanning multiphoton fluorescence fiber probes without any moving parts at the distal end. The temporal focusing effect in SSTF essentially replaces the focusing of one spatial dimension in conventional wide-field and line-scanning imaging. Although the best axial confinement achieved by SSTF cannot surpass that of a regular point-scanning system, this trade-off between spatial and temporal focusing can provide significant advantages in applications such as high-speed imaging and remote axial scanning in an endoscopic fiber probe.We also present two new techniques for tunable dispersion compensation that are low cost, high speed, broadband, capable of high intensities, and have a large tuning range. By rotating a cylindrical lens at the Fourier plane of a folded 4-f grating pair system, the group-delay dispersion can be tuned over a range greater than 10 5 fs 2 , sufficient for compensating the dispersion of several meters of optical fiber. We also show that a single-element piezo bimorph mirror can generate GDD in a folded 4-f grating pair setup. With a kilohertz sinusoidal drive voltage applied to the piezo bimorph, we demonstrate high-speed axial scanning in an SSTF setup at a rate of 2 kilohertz over a range of 100 microns.iii BIOGRAPHICAL SKETCH Michael Earle Durst grew up in Plant City, FL, the winter strawberry capital of the world. He claims Plant City as his hometown because it served as his home address for the longest amount of time. Michael was born in Ft. Myers, FL, went to kindergarten in Port Charlotte, FL, first through third grade in Alexandria, VA, fourth through part of sixth grade in Sarasota, FL, seventh and eighth grade in Tampa, FL, and all of high school in Plant City, FL.Durst enrolled at Georgetown University in Washington, DC in the fall of 1999. He had expressed his interest in physics as a major when he filled out the application...

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Introduction to Fourier Optics

Abstract: Fourier analysis is a ubiquitous tool that has found application to diverse areas of physics and engineering. This book deals with its applications in optics, and in particular with its applications to diffraction, imaging, optical data processing, holography and optical communications.

Cited by 1,640 publications

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Laser-induced ultrafast demagnetization in the presence of a nanoscale magnetic domain network

Laser-induced ultrafast demagnetization in the presence of a nanoscale magnetic domain network

Information capacity of eyes

Simultaneous spatial and temporal focusing in nonlinear microscopy

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