Lensless focusing with subwavelength resolution by direct synthesis of the angular spectrum

We consider the coherent superposition of unfocused wave fronts for lensless focusing of electromagnetic waves with subwavelength resolution. Near the focal point, intensity distributions generated using the approach approximate those generated using lenses. Far from the focal point, discretization of spatial frequencies results in a trade-off between the number of wave fronts and the accuracy of the approximation. We experimentally demonstrate the feasibility of the approach by generating an approximation of an azimuthally polarized Bessel beam with a focal spot diameter (full width at half maximum intensity) of 0.37λ.

[1]  Zdeněk Bouchal,et al.  Non-diffractive Vector Bessel Beams , 1995 .

[2]  M. A. Kumakhov,et al.  Channeling of photons and new X-ray optics , 1990 .

[3]  H. Wolter Spiegelsysteme streifenden Einfalls als abbildende Optiken für Röntgenstrahlen , 1952 .

[4]  Donald H. Bilderback,et al.  Microbeam generation with capillary optics (invited) , 1995 .

[5]  H P Weber,et al.  Lensless focusing with an array of phase-adjusted optical fibers. , 1989, Applied Optics.

[6]  Dieter W. Pohl,et al.  Operation of a Ruby Laser in the Purely Transverse Electric Mode TE01 , 1972 .

[7]  Y. Fainman,et al.  Engineering space-variant inhomogeneous media for polarization control. , 2004, Optics letters.

[8]  George Bekefi,et al.  Electromagnetic Vibrations, Waves, and Radiation , 1977 .

[9]  R. L. Johnson,et al.  Sharper images by focusing soft X-rays with photon sieves , 2001, Nature.

[10]  P. Kirkpatrick,et al.  Formation of optical images by X-rays. , 1948, Journal of the Optical Society of America.

[11]  J. Goodman Introduction to Fourier optics , 1969 .

[12]  B. Lengeler,et al.  A compound refractive lens for focusing high-energy X-rays , 1996, Nature.

[13]  D. Hall,et al.  Free-space azimuthal paraxial wave equation: the azimuthal Bessel-Gauss beam solution. , 1994, Optics letters.

[14]  J. Durnin Exact solutions for nondiffracting beams. I. The scalar theory , 1987 .

[15]  S C Tidwell,et al.  Generating radially polarized beams interferometrically. , 1990, Applied optics.

[16]  A. Baez A Self-supporting Metal Fresnel Zone-plate to focus Extreme Ultra-violet and Soft X-Rays , 1960, Nature.

[17]  Amnon Yariv,et al.  Diffraction coupled phase‐locked semiconductor laser array , 1983 .

[18]  Asher A. Friesem,et al.  The formation of laser beams with pure azimuthal or radial polarization , 2000 .

[19]  K. Oughstun Selected papers on scalar wave diffraction , 1992 .

[20]  R. Meyer Optical beam steering using a multichannel lithium tantalate crystal. , 1972, Applied optics.

[21]  L. Mandel,et al.  Optical Coherence and Quantum Optics , 1995 .

[22]  D. S. Hobbs,et al.  High-efficiency liquid-crystal optical phased-array beam steering. , 1996, Optics letters.

[23]  Heinz P. Weber,et al.  Coherent recombination of laser beams with interferometrical phase control , 1993 .