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BOX 24-2 The three main chromophores in the skin include: Water Hemoglobin Melanin mediums can be liquid (dyes such as rhodamine), solid [eg, ruby, alexandrite, Nd:YAG, diode (semiconductor)], or gas (eg, helium-neon, argon, CO2) Several of the instruments in the cosmetic armamentarium that will be discussed here are not true lasers This fact does not render them any less useful in treating patients, but it is an important distinction to make The importance lies in the nature of the interaction between light and skin In 1983, Anderson and Parish introduced the theory of selective photothermolysis1 This theory states that the selectivity of a laser for its target relies on the fact that different wavelengths of light will be absorbed by different chromophores in the skin (Box 24-2) This allows us to selectively destroy these targets without damaging the surrounding tissues In order to accomplish this, the pulse width should be sufficiently long to heat the tissue to the level of destruction, but not long enough for that heat to transfer out of the target to the surrounding normal skin The duration of active lasing is termed the pulse width or pulse duration The ideal pulse duration for selective destruction of a target is determined by the size of the target The time it takes for the target to dissipate twothirds of its heat to the surrounding tissue is directly proportional to its size This is termed the thermal relaxation time (Trt) The pulse width should be equal to or shorter than this Trt in order to selectively destroy the target and not the normal surrounding tissue If the laser pulse is longer than the Trt, then there is more risk of unwanted damage to other tissues Lasers can emit light in a continuous fashion, or in spurts, or pulses The theory of selective photothermolysis really only applies to pulsed laser systems, as continuous lasing results in bulk heating of tissue, and hence little selectivity When light of any wavelength or intensity hits the skin four possible results ensue The light can be directly reflected from the skin This usually takes place at the stratum corneum, and this is the reason that practitioners wear protective eyewear even when not lasing near the eye Light that passes through the stratum corneum can be scattered by collagen in the dermis or transmitted through the dermis to the subcutaneous tissues The light that results in actual work being done on the tissues is the light that is absorbed Absorption in the skin is by three main chromophores Each of these target chromophores absorbs light at a different wavelength (Fig 24-1) Using these absorption spectra, we can select a laser with a wavelength that will be absorbed by the chromophore This allows us to treat the target and not the normal skin When the target tissue is beneath the epidermis, treatment of the target without damage to the epidermis is difficult to achieve without protection of the epidermis This protection is achieved via cooling systems Cooling systems are critical in several laser procedures including vessel destruction and laser hair removal There are several modes of cooling used in lasers today, including cryogen cooling, contact, ice, and direct cold air Employing these devices reduces injury to the epidermis Conversely, employing too much cooling when the target is in the epidermis results in an ineffective treatment Cooling systems are essential in laser.



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PS (3) > $a.length 3 PS (4) > $a[0] 1

= U (b) U (a) + i [V (b) V (a)]

Note that arrays in PowerShell are origin-zero; that is, the first element in the array is at index 0, not index 1. As the example showed, the first element of $a is in $a[0]. As with hashtables, changes are made to an array by assigning new values to indexes in the array. In the following example, we ll assign new values to the first and third elements in $a.





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Looking at the output, we can see that elements of the array have been changed. Simple assignment updates the element at the specified index. Polymorphism in arrays Another important thing to note from the previous example is that arrays are polymorphic by default. By polymorphic we mean that you can store any type of object in an array. (A VBScript user would call these variant arrays). When we created the array, we assigned only integers to it. In the subsequent assignments, we assigned a floatingpoint number and a string. The original array was capable of storing any kind of object. In formal terms, PowerShell arrays are polymorphic by default (though it is possible to create type-constrained arrays). Earlier we saw how to get the length of an array. What happens when we try to assign to an element past the end of the array The next example illustrates this.

PS (9) > $a.length 3 PS (10) > $a[4] = 22 Array assignment failed because index '4' was out of range. At line:1 char:4 + $a[4 <<<< ] = 22 PS (11) >

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SOLUTION The rst step is to write the integrand in terms of real and imaginary parts In this case (1 it )2 = (1 it )(1 it ) = 1 i 2t t 2 = 1 t 2 i 2t This leads us to make the following de nitions: u(t ) = 1 t 2 The integral can then be written as and v (t ) = 2t

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