Numerical Investigation of Laser-Assisted Nanoimprinting on a Copper Substrate from a Perspective of Heat Transfer Analysis
📝 Abstract
The technique of laser-assisted nanoimprinting lithography (LAN) has been proposed to utilize an excimer laser to irradiate through a quartz mold and melts a thin polymer film on the substrate for micro- to nano-scaled fabrications. In the present study, the novel concept of that copper was adopted as the substrate instead of silicon, which is conventionally used, was proposed. The micro/nano structures on the copper substrate could be fabricated by chemical/electrochemical etching or electroforming ; following by the patterns have been transferred onto the substrate using LAN process. Alternatives of the substrate materials could lead versatile applications in micro/nano-fabrication. To demonstrate the feasibility of this concept numerically, this study introduced optical multiple reflection theory to perform both analytical and numerical modeling during the process and to predict the thermal response theoretically.
💡 Analysis
The technique of laser-assisted nanoimprinting lithography (LAN) has been proposed to utilize an excimer laser to irradiate through a quartz mold and melts a thin polymer film on the substrate for micro- to nano-scaled fabrications. In the present study, the novel concept of that copper was adopted as the substrate instead of silicon, which is conventionally used, was proposed. The micro/nano structures on the copper substrate could be fabricated by chemical/electrochemical etching or electroforming ; following by the patterns have been transferred onto the substrate using LAN process. Alternatives of the substrate materials could lead versatile applications in micro/nano-fabrication. To demonstrate the feasibility of this concept numerically, this study introduced optical multiple reflection theory to perform both analytical and numerical modeling during the process and to predict the thermal response theoretically.
📄 Content
9-11 April 2008 ©EDA Publishing/DTIP 2008
ISBN: 978-2-35500-006-5 Numerical Investigation of Laser-Assisted Nanoimprinting on a Copper Substrate from a Perspective of Heat Transfer Analysis
Chun-Ping Jen
Department of Mechanical Engineering, National Chung Cheng University,
No. 168, University Rd., Min-Hsiung, Chia Yi, 62102, Taiwan, R.O.C.
Abstract- The technique of laser-assisted nanoimprinting lithography (LAN) has been proposed to utilize an excimer laser to irradiate through a quartz mold and melts a thin polymer film on the substrate for micro- to nano-scaled fabrications. In the present study, the novel concept of that copper was adopted as the substrate instead of silicon, which is conventionally used, was proposed. The micro/nano structures on the copper substrate could be fabricated by chemical/electrochemical etching or electroforming; following by the patterns have been transferred onto the substrate using LAN process. Alternatives of the substrate materials could lead versatile applications in micro/nano-fabrication. To demonstrate the feasibility of this concept numerically, this study introduced optical multiple reflection theory to perform both analytical and numerical modeling during the process and to predict the thermal response theoretically.
I.
INTRODUCTION
Nano-imprinting lithography (NIL) has been developed
over a decade [1-5] and is now a promising method for
nano-patterning and nano-fabrication. The basic concept of
conventional nano-imprinting includes a mold, an etching
resist layer and a sample substrate. The mold has some
nano-scale features on the surface fabricated by either
E-beam lithography or focus ion bean techniques. The
thermo-plastic polymer such as poly-methylmethacrylate
(PMMA) is usually used as the resist layer. By heating until
above its glass transition temperature (Tg), the mold can
impinge into the resist layer and form a pattern. Following by
reaction ion etching, the nano-pattern is transformed to the
resist layer and the substrate. It is sequent followed by
standard lithography processes to achieve nano-structures on
the substrate surface. However, the heating mechanism of
conventional nanoimprinting is slow and usually causes
misalignment due to the different thermal expansion between
the mold and the substrate. Recently, laser-assisted
nanoimprinting lithography (LAN) method illustrated in
Figure 1a was proposed [6]. This new imprinting method
shares the same concepts discussed above and combines the
advantages
of
the
traditional
nano-imprinting
and
laser-assisted direct imprint [4]. The LAN process depicted
schematically in Figure 1a utilizes a laser pulse to irradiate
through a quartz mold and melt a thin polymer film (~200 nm)
on the substrate. Upon the thin polymer film is melted, the
pre-loaded mold is imprinted into the polymer resist layer.
This LAN method has several obvious advantages over the
thermal-based nano-imprinting technique in terms of
shortening the processing time and reducing the heating of the
substrate and in this way the misalignment due to the thermal
expansion mismatch of the mold and substrate can be avoided
[6]. This method shows a great potential for future
nano-patterning and fabrication of nano-structures. In the
present study, the novel concept of that copper was adopted as
the substrate instead of silicon, which is conventionally used,
was proposed. The micro/nano structures on the copper
substrate could be fabricated using chemical/electrochemical
etching or electroforming; following by the patterns have
been transferred onto the substrate using LAN process.
Alternatives of the substrate materials could lead versatile
applications in micro/nano-fabrication. To demonstrate the
feasibility of this concept numerically, this study introduced
optical multiple reflection theory to perform both analytical
and numerical modeling during the process and to predict the
thermal response theoretically.
II.
THEORETICAL MODELING
During the heating process of the substrate by the pulsed
laser, one-dimensional transient heat-diffusion equation can
be employed herein. The physical domain for the
heat-transfer system considered here is illustrated in Figure 1b.
Assuming that the laser spot is larger than the mold and all
materials involved are homogeneous; therefore this system
can be simplified as one-dimensional. The source term of
heat-generation in the substrate originating from the energy
absorption of a laser pulse can be described as:
) ( )
exp( ) , ( t I x A t x S S β β −
(1)
where x and t are the spatial variable and time, respectively.
AS is the absorption of the incident light, β is the optical
absorption coefficient which is related to the imaginary part of
refractive index, κ , and the laser wavelength, λ, by
λ
πκ
β
4
[8]. I(t) is the power density function
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