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As we will emphasize later, the eye sees differences in light intensity (contrast) and perceives different wavelengths as colors, but cannot discern differences in phase displacements between waves or detect differences in the state of polarization. The range of wavelengths perceived as color extends from 400 nm (violet) to 750 nm (red), while peak sensitivity in bright light occurs at 555 nm (yellow-green). The curves in Figure 2-6 show the response of the eye to light of different wavelengths for both dim light (night or rod vision) and bright light (day or cone vision) conditions. The eye itself is actually a logarithmic detector that allows us to see both bright and dim objects simultaneously in the same visual scene. Thus, the apparent difference in intensity between two objects I1 and I2 is perceived as the logarithm of the ratio of the intensities, that is, as log10(I1/I2). It is interesting that this relationship is inherent to the scale used by Hipparchus (160 127 B.C.) to describe the magnitudes of stars in 6 steps with 5 equal intervals of brightness. Still using the scale today, we say that an intensity difference of 100 is covered by 5 steps of Hipparchus stellar magnitude such that 2.512 log10100 5. Thus, each step of the scale is 2.512 times as much as the preceding step, and 2.5125 100, demonstrating that what we perceive as equal steps in intensity is really the log of the ratio of intensities. The sensitivity of the eye in bright light conditions covers about 3 orders of magnitude within a field of view; however, if we allow time for physiological adaptation and consider both dim and bright lighting conditions, the sensitivity range of the eye is found to cover an incredible 10 orders of magnitude overall.

MWjp is the capacity of unit j in node p. MaxLkp is the forecast of the annual peak load for year k in node p. RReqkp are the primary and secondary forecasted reserve requirements for year k in node p. 3. All constraints from Section 4.7, modi ed for the selected time blocks Remarks Note that the power ow problem, Phase 2 of Section 4.7, is not addressed. There is too great a computational time expense to include this in the analysis. Instead, the output from this problem should be used to perform a separate power ow analysis that can then be used to develop transmission plans. Aside from a power ow analysis, other studies must be performed as part of the development of transmission planning. These include studies that determine system stability in the event of equipment failure or other perturbations to the system, e.g., lightning strike. Transmission costs for system upgrades associated with new construction have not been addressed in the above formulations. As an estimate, one could associate these costs with the xed cost of construction.

A mode of light microscopy based on the unique ability of polarized light to interact with polarizable bonds of ordered molecules in a directionsensitive manner Perturbations to waves of polarized light from aligned molecules in an object result in phase retardations between sampling beams, which in turn allow interference-dependent changes in amplitude in the image plane Typically the microscope contains a polarizer and analyzer, and a retardation plate or compensator Image formation depends critically on the existence of ordered molecular arrangements and a property known as double refraction or birefringence 135 Polarized light Light waves whose E vectors vibrate in plane-parallel orientation at any point along the axis of propagation Polarized light can be linearly polarized (vibrations at all locations are plane parallel) or elliptically or circularly polarized (vibration axis varies depending on location along the propagation axis) Polarized light need not be monochromatic or coherent 20 Polarizer.

A device that receives random light and transmits linearly polarized light In microscopy, polarizers are made from sheets of oriented dichroic molecules (Polaroid filter) or from slabs of birefringent crystalline materials 118 Polaroid sheet or polar A sheet of aligned long-chain polyvinyl alcohol molecules impregnated with aligned microcrystals of polyiodide The E vectors of incident waves vibrating along the axis parallel to the crystal axes are absorbed and removed, resulting in the transmission of waves that are linearly polarized 119 Positive colors Colors that result from mixing different wavelengths of light The equal mixture of red and green wavelengths results in the perception of yellow, a positive color 24 Positive lens A lens that converges a beam of parallel incident rays A simple positive lens is thicker in the middle than at the periphery, and has at least one convex surface.