Abstract:
A kind of normal incidence broadband spectroscopic polarimeter which is easy to adjust the focus, has no chromatic aberration, maintains the polarization and has simple structure. The normal incidence broadband spectroscopic polarimeter can make the probe beam normal incidence and focus on the sample surface by using at least one flat reflector element to change propagation direction of the focused beam. Moreover, the normal incidence broadband spectroscopic polarimeter contains at least one polarizer as to measure the anisotropy or non-uniform samples, such as three-dimensional profile and material optical constants of thin films consisting of the periodic structure. An optical measurement system including the normal incidence broadband spectroscopic polarimeter is also provided.
Abstract:
Improved computation of Fourier coefficients for modeling of 2-D grating diffraction is provided. Let f(x,y) be defined in a region Ω. Typically, f(x,y) is piecewise constant (since it is a grating permittivity or inverse permittivity) and takes on various constant values in several domains in Ω. Let D be one of these domains, having a general shape. According to the invention, D is approximated as a set of trapezoids, and f(x,y) is taken to have a constant value within each of the trapezoids. Since the Fourier coefficient of a constant defined on a trapezoidal region can be analytically evaluated, an analytic approximation to the Fourier coefficient of f(x,y) on D is provided by summing the contributions from each trapezoid.
Abstract:
Optical characterization of lateral features of a pattern is provided. A plane-wave optical response is calculated for each feature. At least one of these plane-wave responses is calculated from an effective optical property (e.g., a waveguide modal refractive index). Such effective optical properties depend on feature geometry and on intrinsic material optical properties. The plane-wave responses for each feature are combined to generate a modeled pattern response. By fitting the modeled pattern response to a corresponding measured pattern response, estimates for pattern feature parameters are obtained. The use of an effective optical property improves model accuracy, especially for features having a size on the order of a wavelength or less, without significantly increasing computation time.
Abstract:
Disclosed is a normal-incidence broadband spectroscopic polarimeter containing reference beam, comprising a light source, a first reflecting unit, a first concentrating unit, a second concentrating unit, a polarizer, a first curved mirror, a first planar mirror, a second reflecting unit and a probing unit. Also disclosed is an optical measurement system, comprising the normal-incidence broadband spectroscopic polarimeter containing reference beam. The normal-incidence broadband spectroscopic polarimeter containing reference beam achieves an integral combination of the light beams after splitting, can maintain the polarization state of the light beams while increasing the light transmission efficiency, and has a low complexity.
Abstract:
Apparatus and method for examining a sample with a broadband radiation while preserving a small spot and low wave front distortion. The apparatus has a broadband source for generating the broadband radiation and a first reflective optics that employ toroidal mirrors that are barrel or donut-shaped and may be placed in a crossed or parallel arrangement for producing a broadband test beam that is guided to the sample such that it is incident on it at a small spot. A sampling aperture is provided for filtering a certain center portion from the broadband test beam. A second reflective optics is provided for shaping a reflected response beam from the broadband radiation that is reflected from the spot. The response beam is delivered by second reflective optics to a detector for examination. The apparatus and method can be applied to improve wave front distortion in reflectance measurements and for performing transmittance measurements with chromatic distortion compensation. The method and apparatus further provide for efficient monitoring of the broadband test beam.
Abstract:
A method and apparatus for convolving spectroscopic data with certain phase information for practicing phase-compensated sensitivity-enhanced spectroscopy (PCSES). PCSES uses a beam of radiation in a polarization state PSp from a source emitting at a plurality of wavelengths, and places in the beam a compensator capable of altering polarization state PSp by applying a delimited phase shift Δ between two orthogonal polarization axes of the radiation to restrict a finely-vibrating spectrum. A sample disposed in the beam after the compensator generates a response beam by reflection, transmission or even both. A polarization state PSa of the response beam is passed to a detector to determine a spectrum of the response beam. A first spectrum is collected when polarization states PSp, PSa and the compensator are in a first polarization-altering configuration and a second spectrum is collected when polarization states PSp, PSa and the compensator are in a second polarization-altering configuration. A phase-compensated spectrum is then derived from just the first and second spectra thereby allowing the user to undertake optical characterization, including the measurement of film thickness t and complex indices of refraction n, k of the sample with as few as just two polarization-altering configurations.
Abstract:
Improved optical characterization is provided by organizing the optical modeling calculations such that incident radiation parameters (e.g., wavelength) are varied in the outermost loop of any modeling run. By completing calculations for all combinations of structure parameters at one wavelength before moving to the next wavelength, calculation efficiency can be greatly improved. In particular, with this approach it is not necessary to cache (or re-compute) intermediate results pertaining to different wavelengths, in contrast to conventional approaches. Further improvements in efficiency can be obtained by organizing reflectance calculations such that for any layer Ll, stored intermediate results pertaining to layers below Ll can be used to calculate optical response as parameters for Ll and layers above Ll are varied. Similarly, transmittance calculations can be organized such that for any layer Ll, stored intermediate results pertaining to layers above Ll can be used to calculate optical response as parameters for Ll and layers below Ll are varied.
Abstract:
An apparatus and method for examining features of a planar, disk-shaped samples on a stage that holdings the sample and has an X-drive, a Y-drive and a θ-drive for rotating the stage about a center of rotation defined in the stage coordinates. The sample is placed on the stage such that the center of the sample is substantially aligned with the center of rotation and a measurement assembly is located above the sample to examine the features optically. A scheduling module coordinates the X-drive, the Y-drive and the θ-drive with the measurement assembly such that the sample is examined in an even number n of angular sectors defined by a sector angle Θ that is the same for each sector. Specifically, the sector angle Θ is defined in terms of n as follows: Θ = 360 ° n , where n=4m and m is an integer, such that a multiple of sector angle Θ always includes angles 90° and 180°.
Abstract:
A system and a method for optical characterization of a symmetric grating illuminated at off-normal incident angle are provided, where the plane of incidence is parallel to the grating lines. In this case corresponding positive and negative diffraction orders have the same intensity and phase. Several approaches for exploiting this symmetry are given. The first approach is a symmetric rigorous coupled wave analysis (SRCWA) adapted to the symmetric case, which accounts for N positive and N negative diffraction orders with M=N+1 space harmonics, without approximation. Various approximation methods are also given. Approximate versions of the RCWA (or SRCWA) can be developed by neglecting polarization coupling for small angles of incidence. A normal incident angle calculation can be used to approximate a situation with a small angle of incidence. Refinements to this approximation include revision of grating depth or refractive indices to improve accuracy. Methods other than the RCWA can also be symmetry simplified according to the invention.
Abstract:
An apparatus and method for examining features of a sample with a broadband beam of light obtained from a long-wavelength source that may include two distinct emitters that emit a long-wavelength radiation and a short-wavelength source that emits a short-wavelength radiation. A passage is positioned between the sources and a reflective beam combining optics is provided for shaping the long-wavelength radiation to enter the short-wavelength source via the passage and also for shaping the short-wavelength radiation that exits through the passage and propagates toward the long-wavelength source. The reflective beam combining optics shape the short-wavelength radiation such that it re-enters the short-wavelength source via the passage and is combined with the long-wavelength radiation into the broadband beam that exits the short-wavelength source. A beam steering optics projects the broadband beam to a spot on the sample, and a scattered broadband radiation from the spot is intercepted and shaped to a broadband signal beam, which is passed through a sampling pinhole that passes a test portion of it on to a detector for optical examination; the test portion that is passed can correspond to a center portion of the spot.